{"id":99141,"date":"2026-09-02T00:01:09","date_gmt":"2026-09-01T16:01:09","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/99141.html"},"modified":"2026-09-02T00:01:09","modified_gmt":"2026-09-01T16:01:09","slug":"%e3%80%90%e8%ae%ba%e6%96%87%e9%98%85%e8%af%bb%e3%80%91agent-%e8%ae%b0%e5%bf%86%e6%9c%ba%e5%88%b6%ef%bc%8857%ef%bc%89%ef%bc%9amemsearch-o1-%e4%bb%8e%e6%9f%a5%e8%af%a2%e8%af%8d%e5%85%83","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/99141.html","title":{"rendered":"\u3010\u8bba\u6587\u9605\u8bfb\u3011Agent \u8bb0\u5fc6\u673a\u5236\uff0857\uff09\uff1aMemSearch-o1\u2014\u2014\u4ece\u67e5\u8be2\u8bcd\u5143\u751f\u957f\u8bc1\u636e\uff0c\u91cd\u7ec4 Deep Search \u8bb0\u5fc6\u8def\u5f84"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\u524d\u8a00<\/li>\n<li>\u96f6\u3001\u8bba\u6587\u57fa\u672c\u4fe1\u606f<\/li>\n<li>\u4e00\u3001\u80cc\u666f&#xff1a;Deep Search \u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u8bb0\u5fc6\u7a00\u91ca<\/li>\n<li>\n<ul>\n<li>1. \u4ece RAG \u5230 Agentic Search<\/li>\n<li>2. \u641c\u7d22\u8f6e\u6570\u589e\u957f\u5e76\u4e0d\u7b49\u4e8e\u63a8\u7406\u8d28\u91cf\u589e\u957f<\/li>\n<li>3. \u4e3a\u4ec0\u4e48\u6458\u8981\u4f1a\u4e22\u4fe1\u606f<\/li>\n<li>4. \u4e3a\u4ec0\u4e48\u53ea\u6309\u76f8\u4f3c\u5ea6\u8fc7\u6ee4\u4ecd\u7136\u4e0d\u591f<\/li>\n<li>5. MemSearch-o1 \u7684\u95ee\u9898\u91cd\u5b9a\u4e49<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u3001\u76f8\u5173\u5de5\u4f5c&#xff1a;\u5df2\u6709\u65b9\u6cd5\u5206\u522b\u7f3a\u5c11\u4ec0\u4e48<\/li>\n<li>\n<ul>\n<li>1. Standard RAG<\/li>\n<li>2. Search-o1<\/li>\n<li>3. MemoryBank\u3001A-Mem \u4e0e Amber<\/li>\n<li>4. Graph Memory<\/li>\n<\/ul>\n<\/li>\n<li>\u4e09\u3001MemSearch-o1 \u65b9\u6cd5\u603b\u89c8<\/li>\n<li>\u56db\u3001Memory Seeds Preparation&#xff1a;\u4e3a\u4ec0\u4e48\u5148\u62c6\u67e5\u8be2<\/li>\n<li>\n<ul>\n<li>1. \u52a8\u673a&#xff1a;\u6574\u53e5\u67e5\u8be2\u662f\u4e00\u4e2a\u8fc7\u4e8e\u7c97\u7cd9\u7684\u8bb0\u5fc6\u951a\u70b9<\/li>\n<li>2. \u5f62\u5f0f\u5316\u5b9a\u4e49<\/li>\n<li>3. \u4e00\u4e2a\u4f8b\u5b50<\/li>\n<li>4. \u4f5c\u7528\u4e0e\u8fb9\u754c<\/li>\n<\/ul>\n<\/li>\n<li>\u4e94\u3001Memory Fragments Growth&#xff1a;\u4ece\u79cd\u5b50\u751f\u957f\u8bc1\u636e<\/li>\n<li>\n<ul>\n<li>1. \u52a8\u673a&#xff1a;\u4e0d\u662f\u538b\u7f29\u5168\u6587&#xff0c;\u800c\u662f\u56f4\u7ed5\u591a\u4e2a\u951a\u70b9\u62bd\u53d6<\/li>\n<li>2. \u7247\u6bb5\u751f\u6210\u6982\u7387<\/li>\n<li>3. \u4ece\u751f\u6210 Token \u5f97\u5230\u7247\u6bb5<\/li>\n<li>4. \u4e3a\u4ec0\u4e48\u53eb Growth<\/li>\n<li>5. \u98ce\u9669<\/li>\n<\/ul>\n<\/li>\n<li>\u516d\u3001Memory Path Retracing&#xff1a;\u4ece\u788e\u7247\u56de\u5230\u63a8\u7406\u94fe<\/li>\n<li>\n<ul>\n<li>1. \u539f\u95ee\u9898\u76f8\u5173\u6027<\/li>\n<li>2. Bridge Potential<\/li>\n<li>3. \u603b\u8d21\u732e\u5ea6<\/li>\n<li>4. \u6784\u9020 Memory Region<\/li>\n<li>5. \u8bed\u4e49\u5e73\u6ed1\u8def\u5f84<\/li>\n<li>6. \u4e3a\u4ec0\u4e48\u6700\u7ec8\u4e0d\u518d\u8f93\u5165\u5b8c\u6574\u5386\u53f2<\/li>\n<\/ul>\n<\/li>\n<li>\u4e03\u3001\u5b8c\u6574\u63a8\u7406\u6d41\u7a0b<\/li>\n<li>\n<ul>\n<li>1. \u521d\u59cb\u5316<\/li>\n<li>2. \u8fed\u4ee3\u641c\u7d22<\/li>\n<li>3. \u5168\u5c40\u56de\u6eaf<\/li>\n<li>4. \u6700\u7ec8\u56de\u7b54<\/li>\n<\/ul>\n<\/li>\n<li>\u516b\u3001\u5b9e\u9a8c\u8bbe\u7f6e<\/li>\n<li>\n<ul>\n<li>1. \u6570\u636e\u96c6<\/li>\n<li>2. Backbone<\/li>\n<li>3. \u68c0\u7d22\u4e0e\u8d85\u53c2\u6570<\/li>\n<li>4. Baselines<\/li>\n<\/ul>\n<\/li>\n<li>\u4e5d\u3001\u4e3b\u5b9e\u9a8c&#xff1a;\u662f\u5426\u771f\u6b63\u7f13\u89e3 Memory Dilution<\/li>\n<li>\n<ul>\n<li>1. LongBench \u603b\u4f53\u7ed3\u679c<\/li>\n<li>\n<ul>\n<li>Qwen2.5-72B-Instruct<\/li>\n<li>DeepSeek V3.1<\/li>\n<\/ul>\n<\/li>\n<li>2. \u591a\u8df3\u4efb\u52a1\u63d0\u5347\u6700\u660e\u663e<\/li>\n<li>3. \u4e2a\u522b\u4efb\u52a1\u5e76\u975e\u7edd\u5bf9\u6700\u4f18<\/li>\n<li>4. LongBench v2<\/li>\n<li>5. LongBookQA<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u3001\u6d88\u878d\u5b9e\u9a8c&#xff1a;Growth \u4e0e Retracing \u662f\u5426\u90fd\u5fc5\u8981<\/li>\n<li>\n<ul>\n<li>1. Memory Growth \u662f\u4e3b\u8981\u589e\u76ca\u6765\u6e90<\/li>\n<li>2. Retracing \u63d0\u4f9b\u7b2c\u4e8c\u5c42\u589e\u76ca<\/li>\n<li>3. \u6d88\u878d\u4ecd\u7f3a\u5c11\u7684\u8bc1\u636e<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u4e00\u3001\u6a21\u578b\u89c4\u6a21&#xff1a;\u5c0f\u6a21\u578b\u80fd\u5426\u4f7f\u7528\u8fd9\u5957\u65b9\u6cd5<\/li>\n<li>\u5341\u4e8c\u3001Top-k \u654f\u611f\u6027&#xff1a;\u66f4\u591a\u68c0\u7d22\u6587\u6863\u662f\u5426\u66f4\u597d<\/li>\n<li>\n<ul>\n<li>1. 2WikiMQA&#xff1a;\u5b58\u5728\u6700\u4f73\u533a\u95f4<\/li>\n<li>2. MuSiQue&#xff1a;\u5206\u6563\u8bc1\u636e\u9700\u8981\u66f4\u5927\u68c0\u7d22\u96c6\u5408<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u4e09\u3001Memory Path \u53ef\u89c6\u5316<\/li>\n<li>\n<ul>\n<li>1. \u68c0\u7d22\u533a\u57df\u4e0d\u540c\u65f6<\/li>\n<li>2. \u68c0\u7d22\u533a\u57df\u76f8\u540c\u65f6<\/li>\n<li>3. \u53ef\u89c6\u5316\u8bc1\u636e\u7684\u8fb9\u754c<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u56db\u3001\u6548\u7387&#xff1a;\u77ed\u8def\u5f84\u662f\u5426\u771f\u6b63\u51cf\u5c11\u6210\u672c<\/li>\n<li>\n<ul>\n<li>1. \u6700\u7ec8\u751f\u6210 Token \u6570<\/li>\n<li>\n<ul>\n<li>HotpotQA<\/li>\n<li>2WikiMQA<\/li>\n<\/ul>\n<\/li>\n<li>2. \u603b Token \u4e0e\u63a8\u7406\u65f6\u95f4<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u4e94\u3001\u4e0e\u5176\u4ed6 Memory Management \u7684\u8fdb\u4e00\u6b65\u6bd4\u8f83<\/li>\n<li>\u5341\u516d\u3001\u8d85\u53c2\u6570\u7a33\u5b9a\u6027<\/li>\n<li>\u5341\u4e03\u3001\u4e0e Agent Memory \u7cfb\u5217\u65b9\u6cd5\u6a2a\u5411\u6bd4\u8f83<\/li>\n<li>\n<ul>\n<li>1. \u4e0e A-MEM \u7684\u5173\u7cfb<\/li>\n<li>2. \u4e0e MAGMA \u7684\u5173\u7cfb<\/li>\n<li>3. \u4e0e ReMemR1 \u7684\u5173\u7cfb<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u516b\u3001\u5bf9 Coding Agent \u7684\u542f\u53d1<\/li>\n<li>\n<ul>\n<li>1. \u5c06 Coding Query \u62c6\u6210\u7ed3\u6784\u5316 Seeds<\/li>\n<li>2. \u4ece\u8c03\u67e5\u7247\u6bb5\u91cd\u7ec4 Root-Cause Path<\/li>\n<li>3. \u9700\u8981\u7528\u7a0b\u5e8f\u4f9d\u8d56\u66ff\u4ee3\u7eaf\u8bed\u4e49\u76f8\u4f3c\u5ea6<\/li>\n<\/ul>\n<\/li>\n<li>\u5341\u4e5d\u3001\u5bf9 Tool Agent \u4e0e Multi-Agent \u7684\u542f\u53d1<\/li>\n<li>\n<ul>\n<li>1. Tool Agent&#xff1a;\u56f4\u7ed5\u53c2\u6570\u4e0e\u7ea6\u675f\u751f\u957f\u8bb0\u5fc6<\/li>\n<li>2. Multi-Agent&#xff1a;Fragment \u4f5c\u4e3a\u5171\u4eab\u4e2d\u95f4\u8bed\u8a00<\/li>\n<li>3. \u5fc5\u987b\u589e\u52a0 Provenance<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u5341\u3001\u5c40\u9650\u6027<\/li>\n<li>\n<ul>\n<li>1. \u4f9d\u8d56\u5f3a\u63a8\u7406\u6a21\u578b<\/li>\n<li>2. Seeds \u4e3b\u8981\u4f9d\u8d56\u6d45\u5c42\u8bcd\u6027<\/li>\n<li>3. Fragment Growth \u4ecd\u53ef\u80fd\u9057\u6f0f\u6216\u5e7b\u89c9<\/li>\n<li>4. Contribution Function \u5b58\u5728\u7b26\u53f7\u6b67\u4e49<\/li>\n<li>5. Greedy Search \u4e0d\u4fdd\u8bc1\u5168\u5c40\u6700\u4f18<\/li>\n<li>6. \u7f3a\u5c11\u7ec6\u7c92\u5ea6\u7ec4\u4ef6\u6d88\u878d<\/li>\n<li>7. QA \u4efb\u52a1\u4ecd\u4e0d\u7b49\u4e8e\u5f00\u653e\u5f0f Deep Research<\/li>\n<li>8. \u8def\u5f84\u8fde\u8d2f\u4e0d\u7b49\u4e8e\u4e8b\u5b9e\u6b63\u786e<\/li>\n<li>9. \u7edf\u8ba1\u62a5\u544a\u4ecd\u4e0d\u5b8c\u6574<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u5341\u4e00\u3001\u6211\u7684\u7406\u89e3\u4e0e\u542f\u53d1<\/li>\n<li>\n<ul>\n<li>1. MemSearch-o1 \u7684\u6838\u5fc3\u4e0d\u662f Compression&#xff0c;\u800c\u662f Reconstruction<\/li>\n<li>2. \u8bb0\u5fc6\u5199\u5165\u4e0e\u8bb0\u5fc6\u8bfb\u53d6\u5fc5\u987b\u5171\u540c\u8bbe\u8ba1<\/li>\n<li>3. \u539f\u95ee\u9898\u4e0e\u4e2d\u95f4\u67e5\u8be2\u627f\u62c5\u4e0d\u540c\u89d2\u8272<\/li>\n<li>4. Bridge Evidence \u5e94\u6210\u4e3a Agent Memory \u7684\u4e00\u7b49\u516c\u6c11<\/li>\n<li>5. \u4e0b\u4e00\u6b65\u5e94\u5f53\u652f\u6301\u53ef\u56de\u8bbf Growth<\/li>\n<li>6. \u5e94\u7528\u5230\u771f\u5b9e Agent \u65f6&#xff0c;\u7ed3\u6784\u5173\u7cfb\u8981\u8d85\u8fc7\u8bed\u4e49\u76f8\u4f3c\u5ea6<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u5341\u4e8c\u3001\u603b\u7ed3<\/li>\n<li>\u53c2\u8003\u8d44\u6599<\/li>\n<\/ul>\n<hr \/>\n<h2>\u524d\u8a00<\/h2>\n<p>\u5f53 Agent \u5f00\u59cb\u6267\u884c Deep Search&#xff0c;\u8bb0\u5fc6\u95ee\u9898\u5c31\u4e0d\u518d\u53ea\u662f\u201c\u5bf9\u8bdd\u592a\u957f\u201d\u3002<\/p>\n<p>\u4e00\u4e2a\u5178\u578b\u7684 Deep Search Agent \u4f1a\u4e0d\u65ad\u5faa\u73af&#xff1a;\u601d\u8003\u5f53\u524d\u8fd8\u7f3a\u4ec0\u4e48\u4fe1\u606f&#xff0c;\u751f\u6210\u65b0\u7684\u68c0\u7d22\u67e5\u8be2&#xff0c;\u8bfb\u53d6\u641c\u7d22\u7ed3\u679c&#xff0c;\u518d\u57fa\u4e8e\u65b0\u8bc1\u636e\u7ee7\u7eed\u63a8\u7406\u3002\u5bf9\u4e8e\u4e00\u4e2a\u9700\u8981\u591a\u8df3\u63a8\u7406\u7684\u95ee\u9898&#xff0c;\u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u80fd\u6301\u7eed\u5f88\u591a\u8f6e\u3002\u6bcf\u8f6e\u90fd\u4f1a\u4ea7\u751f\u65b0\u7684\u63a8\u7406\u6587\u672c\u3001\u67e5\u8be2\u548c\u68c0\u7d22\u6587\u6863&#xff0c;\u7cfb\u7edf\u8bb0\u5fc6\u56e0\u6b64\u5feb\u901f\u81a8\u80c0\u3002<\/p>\n<p>\u4e4d\u770b\u4e4b\u4e0b&#xff0c;\u66f4\u591a\u4e0a\u4e0b\u6587\u5e94\u8be5\u610f\u5473\u7740\u66f4\u591a\u8bc1\u636e\u3002\u4f46\u5b9e\u9645\u60c5\u51b5\u5f80\u5f80\u76f8\u53cd&#xff1a;<\/p>\n<ul>\n<li>\u641c\u7d22\u7ed3\u679c\u4e2d\u6df7\u5165\u5927\u91cf\u4e0e\u6700\u7ec8\u95ee\u9898\u5173\u7cfb\u4e0d\u5927\u7684\u5185\u5bb9&#xff1b;<\/li>\n<li>\u4e2d\u95f4\u67e5\u8be2\u4f1a\u968f\u63a8\u7406\u53d1\u751f\u8bed\u4e49\u6f02\u79fb&#xff1b;<\/li>\n<li>\u65e9\u671f\u5173\u952e\u8bc1\u636e\u88ab\u57cb\u5728\u8d8a\u6765\u8d8a\u957f\u7684\u5386\u53f2\u4e2d&#xff1b;<\/li>\n<li>LLM \u7684\u6ce8\u610f\u529b\u88ab\u5197\u4f59\u4fe1\u606f\u7a00\u91ca&#xff1b;<\/li>\n<li>\u540e\u7eed\u63a8\u7406\u7ee7\u7eed\u8bfb\u53d6\u5df2\u7ecf\u88ab\u6c61\u67d3\u7684\u8bb0\u5fc6&#xff0c;\u9519\u8bef\u4f1a\u9010\u8f6e\u7d2f\u79ef\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u5c31\u662f\u672c\u6587\u6240\u8bf4\u7684 Memory Dilution&#xff0c;\u8bb0\u5fc6\u7a00\u91ca\u3002<\/p>\n<p>\u6b64\u524d\u7684 Agent Memory \u65b9\u6cd5\u5df2\u7ecf\u4ece\u591a\u4e2a\u89d2\u5ea6\u5904\u7406\u957f\u671f\u8bb0\u5fc6\u95ee\u9898\u3002A-MEM \u901a\u8fc7\u52a8\u6001\u94fe\u63a5\u7ec4\u7ec7\u76f8\u4e92\u5173\u8054\u7684\u8bb0\u5fc6&#xff1b;MAGMA \u7528\u591a\u56fe\u7ed3\u6784\u8868\u8fbe\u4e0d\u540c\u5173\u7cfb&#xff1b;CoM \u66f4\u5173\u6ce8\u8bb0\u5fc6\u5f62\u6210\u3001\u5de9\u56fa\u4e0e\u8c03\u7528&#xff1b;ReMemR1 \u5141\u8bb8 Agent \u5728\u8bb0\u5fc6\u5199\u5165\u8fc7\u7a0b\u4e2d\u4e3b\u52a8\u56de\u770b\u5386\u53f2&#xff1b;Mem\u00b2Evolve \u5219\u8fdb\u4e00\u6b65\u8ba8\u8bba\u8bb0\u5fc6\u7cfb\u7edf\u5982\u4f55\u968f\u7740\u4f7f\u7528\u7ecf\u9a8c\u6f14\u5316\u3002<\/p>\n<p>\u4f46 MemSearch-o1 \u5904\u7406\u7684\u662f\u4e00\u4e2a\u66f4\u8d34\u8fd1 Agentic Search \u5de5\u4f5c\u8bb0\u5fc6\u7684\u95ee\u9898&#xff1a;<\/p>\n<p>\u5f53\u641c\u7d22 Agent \u6bcf\u4e00\u8f6e\u90fd\u4ea7\u751f\u65b0\u7684\u67e5\u8be2\u4e0e\u6587\u6863\u65f6&#xff0c;\u5982\u4f55\u4fdd\u7559\u5bf9\u6700\u7ec8\u7b54\u6848\u6709\u7528\u7684\u8bc1\u636e&#xff0c;\u540c\u65f6\u907f\u514d\u8ba9\u8d8a\u6765\u8d8a\u957f\u7684\u641c\u7d22\u5386\u53f2\u6df9\u6ca1\u6a21\u578b&#xff1f;<\/p>\n<p>\u4f20\u7edf\u505a\u6cd5\u901a\u5e38\u6709\u4e24\u7c7b\u3002<\/p>\n<p>\u7b2c\u4e00\u7c7b\u662f\u603b\u7ed3&#xff1a;\u8ba9 LLM \u628a\u6bcf\u8f6e\u68c0\u7d22\u7ed3\u679c\u538b\u7f29\u6210\u4e00\u6bb5\u6458\u8981\u3002\u95ee\u9898\u662f&#xff0c;\u6458\u8981\u6a21\u578b\u5fc5\u987b\u4e00\u6b21\u6027\u7406\u89e3\u67e5\u8be2\u4e0e\u957f\u6587\u6863\u4e4b\u95f4\u7684\u590d\u6742\u8bed\u4e49\u5173\u7cfb&#xff0c;\u5bb9\u6613\u5728\u538b\u7f29\u65f6\u4e22\u6389\u4ee5\u540e\u624d\u4f1a\u663e\u5f97\u91cd\u8981\u7684\u7ec6\u8282\u3002<\/p>\n<p>\u7b2c\u4e8c\u7c7b\u662f\u8fc7\u6ee4&#xff1a;\u6839\u636e\u5f53\u524d\u67e5\u8be2\u4ece\u6587\u6863\u4e2d\u4fdd\u7559\u76f8\u5173\u53e5\u5b50\u3002\u95ee\u9898\u662f&#xff0c;\u5f53\u524d\u67e5\u8be2\u53ea\u662f\u63a8\u7406\u8fc7\u7a0b\u4e2d\u7684\u4e00\u4e2a\u4e2d\u95f4\u72b6\u6001\u3002\u5982\u679c\u5b83\u5df2\u7ecf\u53d1\u751f\u504f\u79fb&#xff0c;\u8fc7\u6ee4\u5668\u4e5f\u4f1a\u628a\u8bb0\u5fc6\u5e26\u5411\u9519\u8bef\u65b9\u5411&#xff1b;\u53ea\u6309\u76f4\u63a5\u76f8\u5173\u6027\u7b5b\u9009&#xff0c;\u8fd8\u53ef\u80fd\u5220\u9664\u8fde\u63a5\u4e24\u8df3\u8bc1\u636e\u7684\u6865\u6881\u4fe1\u606f\u3002<\/p>\n<p>MemSearch-o1 \u6ca1\u6709\u7ee7\u7eed\u628a\u6574\u6bb5\u67e5\u8be2\u4e0e\u6574\u7bc7\u6587\u6863\u4f5c\u4e3a\u552f\u4e00\u5904\u7406\u5355\u4f4d\u3002\u5b83\u5148\u628a\u6bcf\u8f6e\u641c\u7d22\u67e5\u8be2\u62c6\u6210\u56db\u7c7b Memory Seeds&#xff1a;\u4e3b\u4f53\u3001\u52a8\u4f5c\u3001\u7a0b\u5ea6\u4fee\u9970\u548c\u65f6\u95f4\u6807\u8bb0&#xff1b;\u518d\u8ba9 LLM \u56f4\u7ed5\u8fd9\u4e9b\u7ec6\u7c92\u5ea6\u79cd\u5b50&#xff0c;\u4ece\u5f53\u8f6e\u68c0\u7d22\u7ed3\u679c\u4e2d\u751f\u957f Memory Fragments\u3002\u5168\u90e8\u641c\u7d22\u7ed3\u675f\u540e&#xff0c;\u7cfb\u7edf\u91cd\u65b0\u56de\u5230\u539f\u59cb\u95ee\u9898&#xff0c;\u4ee5\u201c\u5bf9\u539f\u95ee\u9898\u7684\u76f8\u5173\u6027\u201d\u548c\u201c\u4e0e\u5176\u4ed6\u7247\u6bb5\u7684\u6865\u63a5\u6f5c\u529b\u201d\u8bc4\u4f30\u6240\u6709\u7247\u6bb5&#xff0c;\u6700\u540e\u91cd\u6392\u6210\u4e00\u6761\u8bed\u4e49\u8fde\u8d2f\u7684 Memory Path&#xff0c;\u7528\u5b83\u4ee3\u66ff\u5197\u957f\u7684\u5b8c\u6574\u641c\u7d22\u5386\u53f2\u751f\u6210\u7b54\u6848\u3002<\/p>\n<p>\u56e0\u6b64&#xff0c;\u672c\u6587\u7684\u552f\u4e00\u6838\u5fc3\u589e\u91cf\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;<\/p>\n<p>MemSearch-o1 \u5c06 Deep Search \u7684\u8bb0\u5fc6\u7ba1\u7406\u4ece\u201c\u5bf9\u957f\u641c\u7d22\u5386\u53f2\u505a\u6458\u8981\u6216\u8fc7\u6ee4\u201d&#xff0c;\u6539\u6210\u201c\u7531\u67e5\u8be2\u8bcd\u5143\u9a71\u52a8\u8bc1\u636e\u751f\u957f&#xff0c;\u518d\u4ece\u5168\u5c40\u5386\u53f2\u4e2d\u56de\u6eaf\u5e76\u91cd\u7ec4\u63a8\u7406\u8def\u5f84\u201d&#xff0c;\u4f7f\u8bb0\u5fc6\u540c\u65f6\u4fdd\u6301\u7ec6\u7c92\u5ea6\u8986\u76d6\u3001\u539f\u95ee\u9898\u5bf9\u9f50\u548c\u591a\u8df3\u8fde\u8d2f\u6027\u3002<\/p>\n<p>\u5b83\u771f\u6b63\u6539\u53d8\u7684\u4e0d\u662f\u68c0\u7d22\u5668&#xff0c;\u4e5f\u4e0d\u662f\u8bad\u7ec3\u76ee\u6807&#xff0c;\u800c\u662f Agent \u5728\u641c\u7d22\u8fc7\u7a0b\u4e2d\u5f62\u6210\u5de5\u4f5c\u8bb0\u5fc6\u7684\u57fa\u672c\u5355\u4f4d\u4e0e\u7ec4\u7ec7\u65b9\u5f0f&#xff1a;\u4ece\u6587\u6863\u7ea7\u538b\u7f29&#xff0c;\u8f6c\u5411 Token Seed \u2192 Fragment \u2192 Path \u7684\u7ed3\u6784\u5316\u751f\u957f\u3002<\/p>\n<h2>\u96f6\u3001\u8bba\u6587\u57fa\u672c\u4fe1\u606f<\/h2>\n<ul>\n<li>\u8bba\u6587\u540d\u79f0&#xff1a;MemSearch-o1: Empowering Large Language Models with Reasoning-Aligned Memory Growth in Agentic Search<\/li>\n<li>\u53d1\u8868\u5e73\u53f0&#xff1a;ACL 2026 Main Conference&#xff0c;Long Papers<\/li>\n<li>\u4ee3\u7801\u4ed3\u5e93&#xff1a;Applied-Machine-Learning-Lab\/ACL2026_MemSearch-o1<\/li>\n<li>\u4f5c\u8005&#xff1a;Sheng Zhang\u3001Junyi Li\u3001Yingyi Zhang\u3001Pengyue Jia\u3001Yichao Wang\u3001Xiaowei Qian\u3001Wenlin Zhang\u3001Maolin Wang\u3001Yong Liu\u3001Xiangyu Zhao<\/li>\n<\/ul>\n<h2>\u4e00\u3001\u80cc\u666f&#xff1a;Deep Search \u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u8bb0\u5fc6\u7a00\u91ca<\/h2>\n<h3>1. \u4ece RAG \u5230 Agentic Search<\/h3>\n<p>\u6807\u51c6 RAG \u901a\u5e38\u53ea\u6709\u4e00\u6b21\u68c0\u7d22&#xff1a;\u6839\u636e\u539f\u95ee\u9898\u627e\u51fa Top-k \u6587\u6863&#xff0c;\u518d\u628a\u6587\u6863\u4ea4\u7ed9 LLM \u751f\u6210\u7b54\u6848\u3002<\/p>\n<p>\u5b83\u7684\u4f18\u70b9\u662f\u6d41\u7a0b\u77ed\u3001\u6210\u672c\u4f4e&#xff0c;\u4f46\u9762\u5bf9\u591a\u8df3\u95ee\u9898\u65f6\u80fd\u529b\u6709\u9650\u3002\u4f8b\u5982&#xff1a;<\/p>\n<p>\u7535\u5f71\u300aChrysanthemum Bursts in Cincoesquinas\u300b\u7684\u5bfc\u6f14\u51fa\u751f\u5728\u54ea\u91cc&#xff1f;<\/p>\n<p>\u8981\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898&#xff0c;\u7cfb\u7edf\u81f3\u5c11\u9700\u8981\u5b8c\u6210\u4e24\u8df3&#xff1a;<\/p>\n<li>\u627e\u5230\u7535\u5f71\u7684\u5bfc\u6f14\u662f\u8c01&#xff1b;<\/li>\n<li>\u518d\u67e5\u8be2\u8be5\u5bfc\u6f14\u7684\u51fa\u751f\u5730\u3002<\/li>\n<p>Deep Search \u5c06\u5355\u6b21\u68c0\u7d22\u6539\u6210\u8fed\u4ee3\u8fc7\u7a0b\u3002\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>       n<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8f6e\u751f\u6210\u67e5\u8be2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         q<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       q^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0824em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u68c0\u7d22\u6587\u6863 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         D<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       D^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u518d\u7ee7\u7eed\u63a8\u7406&#xff0c;\u76f4\u5230\u8bc1\u636e\u5145\u5206\u6216\u8fbe\u5230\u6700\u5927\u8f6e\u6570\u3002<\/p>\n<h3>2. \u641c\u7d22\u8f6e\u6570\u589e\u957f\u5e76\u4e0d\u7b49\u4e8e\u63a8\u7406\u8d28\u91cf\u589e\u957f<\/h3>\n<p>\u82e5\u7cfb\u7edf\u628a\u6240\u6709\u5386\u53f2\u76f4\u63a5\u62fc\u63a5&#xff0c;\u7ecf\u8fc7 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u8f6e\u540e&#xff0c;\u5de5\u4f5c\u8bb0\u5fc6\u4e2d\u4f1a\u540c\u65f6\u5b58\u5728&#xff1a;<\/p>\n<ul>\n<li>\u539f\u59cb\u95ee\u9898&#xff1b;<\/li>\n<li>\u591a\u8f6e\u63a8\u7406\u6587\u672c&#xff1b;<\/li>\n<li>\u591a\u4e2a\u4e2d\u95f4\u641c\u7d22\u67e5\u8be2&#xff1b;<\/li>\n<li>\u6bcf\u8f6e\u8fd4\u56de\u7684\u591a\u4e2a\u6587\u6863\u5757&#xff1b;<\/li>\n<li>\u5bf9\u6587\u6863\u7684\u6458\u8981\u6216\u7b5b\u9009\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u4e9b\u5185\u5bb9\u5e76\u4e0d\u5177\u6709\u540c\u7b49\u4ef7\u503c\u3002\u4e2d\u95f4\u67e5\u8be2\u53ef\u80fd\u53ea\u670d\u52a1\u67d0\u4e00\u6b65&#xff0c;\u68c0\u7d22\u7ed3\u679c\u53ef\u80fd\u91cd\u590d\u6216\u504f\u9898&#xff0c;\u5386\u53f2\u63a8\u7406\u8fd8\u53ef\u80fd\u5305\u542b\u5df2\u7ecf\u88ab\u540e\u7eed\u8bc1\u636e\u63a8\u7ffb\u7684\u5047\u8bbe\u3002<\/p>\n<p>\u957f\u4e0a\u4e0b\u6587\u6a21\u578b\u867d\u7136\u80fd\u591f\u63a5\u6536\u66f4\u591a Token&#xff0c;\u5374\u4e0d\u7b49\u4e8e\u4f1a\u540c\u7b49\u5173\u6ce8\u6240\u6709\u4fe1\u606f\u3002\u5173\u952e\u8bc1\u636e\u53ef\u80fd\u9677\u5165 Lost in the Middle&#xff0c;\u6a21\u578b\u9700\u8981\u5728\u66f4\u4f4e\u7684\u4fe1\u566a\u6bd4\u4e0b\u5b8c\u6210\u66f4\u590d\u6742\u7684\u591a\u8df3\u7ec4\u5408\u3002<\/p>\n<h3>3. \u4e3a\u4ec0\u4e48\u6458\u8981\u4f1a\u4e22\u4fe1\u606f<\/h3>\n<p>\u6458\u8981\u5f0f\u8bb0\u5fc6\u7ba1\u7406\u8981\u6c42\u6a21\u578b\u628a\u957f\u6587\u6863\u538b\u7f29\u6210\u4e0e\u5f53\u524d\u67e5\u8be2\u76f8\u5173\u7684\u77ed\u6587\u672c\u3002\u5b83\u6709\u4e00\u4e2a\u9690\u542b\u5047\u8bbe&#xff1a;\u7cfb\u7edf\u5728\u5f53\u524d\u65f6\u523b\u5df2\u7ecf\u77e5\u9053\u54ea\u4e9b\u7ec6\u8282\u5bf9\u6700\u7ec8\u7b54\u6848\u91cd\u8981\u3002<\/p>\n<p>\u4f46\u591a\u8df3\u63a8\u7406\u7ecf\u5e38\u8981\u5230\u4e0b\u4e00\u8f6e\u624d\u77e5\u9053\u4e0a\u4e00\u8f6e\u54ea\u6761\u4fe1\u606f\u662f\u6865\u6881\u3002\u4f8b\u5982\u7b2c\u4e00\u8f6e\u53ea\u77e5\u9053\u5bfc\u6f14\u59d3\u540d&#xff0c;\u7b2c\u4e8c\u8f6e\u624d\u610f\u8bc6\u5230\u9700\u8981\u51fa\u751f\u5730\u3002\u5982\u679c\u7b2c\u4e00\u8f6e\u6458\u8981\u6ca1\u6709\u4fdd\u7559\u4eba\u7269\u8eab\u4efd\u6216\u522b\u540d&#xff0c;\u540e\u7eed\u94fe\u6761\u5c31\u4f1a\u65ad\u88c2\u3002<\/p>\n<h3>4. \u4e3a\u4ec0\u4e48\u53ea\u6309\u76f8\u4f3c\u5ea6\u8fc7\u6ee4\u4ecd\u7136\u4e0d\u591f<\/h3>\n<p>\u67d0\u4e2a\u7247\u6bb5\u53ef\u80fd\u4e0e\u539f\u95ee\u9898\u8868\u9762\u76f8\u4f3c\u5ea6\u4e0d\u9ad8&#xff0c;\u5374\u80fd\u591f\u8fde\u63a5\u4e24\u6761\u5173\u952e\u8bc1\u636e\u3002<\/p>\n<p>\u4f8b\u5982&#xff1a;<\/p>\n<ul>\n<li>\u7247\u6bb5 A&#xff1a;\u67d0\u7535\u5f71\u7531 Daniel Burman \u6267\u5bfc&#xff1b;<\/li>\n<li>\u7247\u6bb5 B&#xff1a;Daniel Burman \u51fa\u751f\u4e8e Buenos Aires\u3002<\/li>\n<\/ul>\n<p>\u7247\u6bb5 B \u4e0e\u7535\u5f71\u6807\u9898\u7684\u76f4\u63a5\u76f8\u4f3c\u5ea6\u53ef\u80fd\u5f88\u4f4e&#xff0c;\u4f46\u5b83\u901a\u8fc7\u4eba\u7269\u5b9e\u4f53\u8fde\u63a5\u4e86\u7b54\u6848\u3002\u53ea\u4fdd\u7559\u4e0e\u539f\u95ee\u9898\u6700\u76f8\u4f3c\u7684\u53e5\u5b50&#xff0c;\u5bb9\u6613\u5220\u9664\u8fd9\u7c7b Bridge Evidence\u3002<\/p>\n<h3>5. MemSearch-o1 \u7684\u95ee\u9898\u91cd\u5b9a\u4e49<\/h3>\n<p>MemSearch-o1 \u4e0d\u628a\u8bb0\u5fc6\u7ba1\u7406\u7406\u89e3\u4e3a\u201c\u628a\u5386\u53f2\u7f29\u77ed\u5230\u591a\u5c11 Token\u201d&#xff0c;\u800c\u662f\u8981\u6c42\u8bb0\u5fc6\u540c\u65f6\u6ee1\u8db3\u4e09\u70b9&#xff1a;<\/p>\n<li>\u7ec6\u7c92\u5ea6\u8986\u76d6&#xff1a;\u4e0d\u8981\u56e0\u4e3a\u6574\u6bb5\u6458\u8981\u800c\u9057\u6f0f\u5c40\u90e8\u8bc1\u636e&#xff1b;<\/li>\n<li>\u76ee\u6807\u5bf9\u9f50&#xff1a;\u6700\u7ec8\u4ecd\u8981\u56de\u5230\u539f\u59cb\u95ee\u9898&#xff0c;\u800c\u4e0d\u662f\u8ffd\u968f\u4e0d\u65ad\u6f02\u79fb\u7684\u4e2d\u95f4\u67e5\u8be2&#xff1b;<\/li>\n<li>\u8def\u5f84\u8fde\u8d2f&#xff1a;\u4fdd\u7559\u80fd\u591f\u628a\u591a\u4e2a\u8bc1\u636e\u8fde\u63a5\u8d77\u6765\u7684\u7247\u6bb5\u987a\u5e8f\u3002<\/li>\n<h2>\u4e8c\u3001\u76f8\u5173\u5de5\u4f5c&#xff1a;\u5df2\u6709\u65b9\u6cd5\u5206\u522b\u7f3a\u5c11\u4ec0\u4e48<\/h2>\n<h3>1. Standard RAG<\/h3>\n<p>Standard RAG \u76f4\u63a5\u56f4\u7ed5\u539f\u95ee\u9898\u8fdb\u884c\u4e00\u6b21\u68c0\u7d22\u3002\u5728\u7b54\u6848\u96c6\u4e2d\u4e8e\u5c11\u6570\u5c40\u90e8\u6bb5\u843d\u65f6&#xff0c;\u5b83\u53ef\u80fd\u975e\u5e38\u6709\u7ade\u4e89\u529b&#xff1b;\u4f46\u68c0\u7d22\u8303\u56f4\u6709\u9650&#xff0c;\u96be\u4ee5\u4e3b\u52a8\u63d0\u51fa\u65b0\u7684\u5b50\u95ee\u9898&#xff0c;\u56e0\u6b64\u4e0d\u9002\u5408\u590d\u6742\u591a\u8df3\u4efb\u52a1\u3002<\/p>\n<h3>2. Search-o1<\/h3>\n<p>Search-o1 \u8ba9\u63a8\u7406\u6a21\u578b\u5728\u601d\u8003\u8fc7\u7a0b\u4e2d\u81ea\u4e3b\u89e6\u53d1\u68c0\u7d22\u3002<\/p>\n<ul>\n<li>Search-o1&#xff08;RAgent&#xff09;\u76f4\u63a5\u628a\u68c0\u7d22\u6587\u6863\u52a0\u5165\u63a8\u7406\u5386\u53f2&#xff1b;<\/li>\n<li>Search-o1&#xff08;Refined&#xff09;\u5148\u5bf9\u68c0\u7d22\u7ed3\u679c\u8fdb\u884c\u603b\u7ed3\u548c\u7cbe\u70bc\u3002<\/li>\n<\/ul>\n<p>\u524d\u8005\u5bb9\u6613\u79ef\u7d2f\u5197\u4f59\u6587\u6863&#xff0c;\u540e\u8005\u53c8\u53ef\u80fd\u8fc7\u5ea6\u603b\u7ed3\u3002MemSearch-o1 \u7684\u8bbe\u8ba1\u76f4\u63a5\u9488\u5bf9\u8fd9\u4e24\u79cd\u6781\u7aef\u3002<\/p>\n<h3>3. MemoryBank\u3001A-Mem \u4e0e Amber<\/h3>\n<p>MemoryBank \u603b\u7ed3\u5173\u952e\u4e8b\u4ef6\u5e76\u5f15\u5165\u9057\u5fd8\u673a\u5236&#xff1b;A-Mem \u4e3a\u68c0\u7d22\u5185\u5bb9\u751f\u6210\u7b14\u8bb0\u5e76\u901a\u8fc7\u94fe\u63a5\u6f14\u5316\u8bb0\u5fc6&#xff1b;Amber \u5728 Chunk \u548c Sentence \u4e24\u4e2a\u7c92\u5ea6\u8fc7\u6ee4\u5185\u5bb9\u3002<\/p>\n<p>\u8fd9\u4e9b\u65b9\u6cd5\u90fd\u8bd5\u56fe\u51cf\u5c11\u5197\u4f59&#xff0c;\u4f46\u4e3b\u8981\u4ecd\u56f4\u7ed5\u201c\u54ea\u4e9b\u73b0\u6709\u6587\u672c\u5e94\u8be5\u4fdd\u7559\u201d\u5c55\u5f00\u3002MemSearch-o1 \u5219\u8ba9\u6a21\u578b\u4ee5\u67e5\u8be2\u8bcd\u5143\u4e3a\u8d77\u70b9&#xff0c;\u4e3b\u52a8\u751f\u6210\u4e00\u7ec4\u4e0e\u79cd\u5b50\u5bf9\u9f50\u7684\u8bc1\u636e\u7247\u6bb5&#xff0c;\u518d\u5728\u5168\u5c40\u5c42\u9762\u91cd\u7ec4\u8def\u5f84\u3002<\/p>\n<h3>4. Graph Memory<\/h3>\n<p>\u56fe\u7ed3\u6784\u80fd\u591f\u663e\u5f0f\u8868\u8fbe\u5173\u7cfb&#xff0c;\u4f46\u5728\u68c0\u7d22\u6587\u672c\u5305\u542b\u566a\u58f0\u65f6&#xff0c;\u6784\u56fe\u672c\u8eab\u53ef\u80fd\u5f15\u5165\u9519\u8bef\u8fb9&#xff1b;\u8ba9 LLM \u5728\u590d\u6742\u56fe\u4e0a\u7ee7\u7eed\u591a\u8df3\u63a8\u7406&#xff0c;\u4e5f\u4f1a\u589e\u52a0\u989d\u5916\u96be\u5ea6\u3002MemSearch-o1 \u6ca1\u6709\u6784\u9020\u663e\u5f0f\u77e5\u8bc6\u56fe\u8c31&#xff0c;\u800c\u662f\u901a\u8fc7\u7247\u6bb5\u95f4\u76f8\u4f3c\u6027\u5f62\u6210\u4e00\u6761\u8f7b\u91cf\u7684\u8bc1\u636e\u8def\u5f84\u3002<\/p>\n<h2>\u4e09\u3001MemSearch-o1 \u65b9\u6cd5\u603b\u89c8<\/h2>\n<p>\u6574\u4e2a\u6846\u67b6\u5305\u542b\u56db\u4e2a\u5173\u952e\u9636\u6bb5&#xff1a;<\/p>\n<li>Agentic Reasoning&#xff1a;LLM \u6839\u636e\u539f\u95ee\u9898\u751f\u6210\u5f53\u524d\u641c\u7d22\u67e5\u8be2&#xff1b;<\/li>\n<li>Memory Seeds Preparation&#xff1a;\u6309\u8bcd\u6027\u628a\u67e5\u8be2\u62c6\u6210\u7ec6\u7c92\u5ea6\u79cd\u5b50&#xff1b;<\/li>\n<li>Memory Fragments Growth&#xff1a;\u56f4\u7ed5\u79cd\u5b50\u4ece\u5f53\u8f6e\u6587\u6863\u4e2d\u62bd\u53d6\u8bc1\u636e\u7247\u6bb5&#xff1b;<\/li>\n<li>Memory Path Retracing&#xff1a;\u641c\u7d22\u7ed3\u675f\u540e\u56de\u6eaf\u5168\u90e8\u7247\u6bb5&#xff0c;\u7b5b\u9009\u5e76\u91cd\u6392\u6210\u6700\u7ec8\u63a8\u7406\u8def\u5f84\u3002<\/li>\n<p>\u8fd9\u4e2a\u6d41\u7a0b\u53ef\u4ee5\u6982\u62ec\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          q<\/p>\n<p>          o<\/p>\n<p>         \u2192<\/p>\n<p>          q<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         \u2192<\/p>\n<p>          S<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         \u2192<\/p>\n<p>          M<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         \u2192<\/p>\n<p>          M<\/p>\n<p>           q<\/p>\n<p>           o<\/p>\n<p>         \u2192<\/p>\n<p>          P<\/p>\n<p>          \u2217<\/p>\n<p>         \u2192<\/p>\n<p>         a<\/p>\n<p>         q_o\\\\rightarrow q^{(n)}\\\\rightarrow S^{(n)}\\\\rightarrow M^{(n)}\\\\rightarrow M^{q_o}\\\\rightarrow P^*\\\\rightarrow a <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1324em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.938em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.938em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7144em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7144em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0359em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7387em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          q<\/p>\n<p>          o<\/p>\n<p>        q_o<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u539f\u59cb\u95ee\u9898&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          q<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        q^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0824em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         n<\/p>\n<p>        n<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8f6e\u641c\u7d22\u67e5\u8be2&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          S<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        S^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f Memory Seeds&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          M<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        M^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u5f53\u8f6e\u751f\u957f\u7684 Memory Fragments&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          M<\/p>\n<p>           q<\/p>\n<p>           o<\/p>\n<p>        M^{q_o}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0359em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u7ecf\u8fc7\u8d21\u732e\u5ea6\u7b5b\u9009\u7684\u5168\u5c40\u8bb0\u5fc6\u533a\u57df&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          P<\/p>\n<p>          \u2217<\/p>\n<p>        P^*<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u91cd\u7ec4\u540e\u7684\u6700\u4f73 Memory Path&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         a<\/p>\n<p>        a<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u662f\u6700\u7ec8\u7b54\u6848\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160106-6a96f6c280a80.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Figure 1\u3002MemSearch-o1 \u5728\u6bcf\u8f6e\u641c\u7d22\u4e2d\u7528 Query Seed \u751f\u957f\u8bc1\u636e&#xff0c;\u641c\u7d22\u7ed3\u675f\u540e\u518d\u4ee5\u539f\u95ee\u9898\u4e3a\u951a\u70b9\u56de\u6eaf\u5e76\u6784\u9020\u6700\u7ec8\u8def\u5f84\u3002<\/p>\n<h2>\u56db\u3001Memory Seeds Preparation&#xff1a;\u4e3a\u4ec0\u4e48\u5148\u62c6\u67e5\u8be2<\/h2>\n<h3>1. \u52a8\u673a&#xff1a;\u6574\u53e5\u67e5\u8be2\u662f\u4e00\u4e2a\u8fc7\u4e8e\u7c97\u7cd9\u7684\u8bb0\u5fc6\u951a\u70b9<\/h3>\n<p>\u6574\u53e5 Embedding \u4f1a\u628a\u591a\u4e2a\u8bed\u4e49\u56e0\u7d20\u6df7\u5728\u4e00\u4e2a\u5411\u91cf\u4e2d\u3002\u5bf9\u4e8e\u957f\u67e5\u8be2&#xff0c;\u4e3b\u4f53\u3001\u52a8\u4f5c\u3001\u7a0b\u5ea6\u548c\u65f6\u95f4\u53ef\u80fd\u5f7c\u6b64\u7ade\u4e89&#xff0c;\u5bfc\u81f4\u68c0\u7d22\u6216\u6458\u8981\u53ea\u5173\u6ce8\u5176\u4e2d\u6700\u663e\u773c\u7684\u4e00\u90e8\u5206\u3002<\/p>\n<p>MemSearch-o1 \u501f\u9274\u8bcd\u6027\u5206\u6790&#xff0c;\u5c06\u9ad8\u8bed\u4e49\u542b\u91cf\u8bcd\u5143\u5206\u6210\u56db\u7c7b&#xff1a;<\/p>\n<ul>\n<li>Subjects&#xff1a;\u540d\u8bcd\u4e0e\u4ee3\u8bcd&#xff0c;\u8868\u793a\u4eba\u7269\u3001\u5730\u70b9\u3001\u5bf9\u8c61&#xff1b;<\/li>\n<li>Actions&#xff1a;\u52a8\u8bcd&#xff0c;\u8868\u793a\u4e3b\u4f53\u6267\u884c\u6216\u7ecf\u5386\u7684\u52a8\u4f5c&#xff1b;<\/li>\n<li>Degree Modifiers&#xff1a;\u5f62\u5bb9\u8bcd\u4e0e\u526f\u8bcd&#xff0c;\u8868\u793a\u5c5e\u6027\u3001\u7a0b\u5ea6\u548c\u65b9\u5f0f&#xff1b;<\/li>\n<li>Temporal Markers&#xff1a;\u8868\u793a\u4e8b\u4ef6\u65f6\u95f4\u6216\u6301\u7eed\u65f6\u957f\u7684\u8bcd\u5143\u3002<\/li>\n<\/ul>\n<h3>2. \u5f62\u5f0f\u5316\u5b9a\u4e49<\/h3>\n<p>\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>       n<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8f6e\u641c\u7d22\u67e5\u8be2\u7531 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        L<\/p>\n<p>       L<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><\/span><\/span><\/span><\/span> \u4e2a Token \u7ec4\u6210&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          q<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>         [<\/p>\n<p>          q<\/p>\n<p>          1<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>          q<\/p>\n<p>          2<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>         \u2026<\/p>\n<p>         ,<\/p>\n<p>          q<\/p>\n<p>          L<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         ]<\/p>\n<p>         q^{(n)}&#061;[q_1^{(n)},q_2^{(n)},\\\\ldots,q_L^{(n)}] <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1324em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3383em;vertical-align: -0.2935em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7cfb\u7edf\u5c06\u5176\u5212\u5206\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         L<\/p>\n<p>         r<\/p>\n<p>       L_r<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a Memory Seeds&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          S<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>         {<\/p>\n<p>          s<\/p>\n<p>          1<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>          s<\/p>\n<p>          2<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         ,<\/p>\n<p>         \u2026<\/p>\n<p>         ,<\/p>\n<p>          s<\/p>\n<p>           L<\/p>\n<p>           r<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         }<\/p>\n<p>         \u2190<\/p>\n<p>         T<\/p>\n<p>         (<\/p>\n<p>          q<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         S^{(n)}&#061;\\\\{s_1^{(n)},s_2^{(n)},\\\\ldots,s_{L_r}^{(n)}\\\\}\\\\leftarrow\\\\mathcal{T}(q^{(n)}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.938em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.4384em;vertical-align: -0.3936em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4337em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2663em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4065em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">}<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2190<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.188em;vertical-align: -0.25em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.2542em\">T<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        i<\/p>\n<p>       i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u4e2a\u79cd\u5b50\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          s<\/p>\n<p>          i<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>         {<\/p>\n<p>          q<\/p>\n<p>          j<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>          }<\/p>\n<p>           j<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>           z<\/p>\n<p>           i<\/p>\n<p>         s_i^{(n)}&#061;\\\\{q_j^{(n)}\\\\}_{j&#061;1}^{z_i} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3217em;vertical-align: -0.2769em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.4578em;vertical-align: -0.413em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.413em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">}<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7463em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.1449em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.044em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.413em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         z<\/p>\n<p>         i<\/p>\n<p>       z_i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.044em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u8be5\u79cd\u5b50\u5305\u542b\u7684 Token \u6570\u91cf&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        T<\/p>\n<p>       \\\\mathcal{T}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.2542em\">T<\/span><\/span><\/span><\/span><\/span> \u662f\u8bcd\u6027\u5206\u6790\u5de5\u5177\u3002\u5b9e\u73b0\u4e2d\u4f7f\u7528 spaCy \u8bc6\u522b\u5e76\u5206\u7ec4\u3002<\/p>\n<h3>3. \u4e00\u4e2a\u4f8b\u5b50<\/h3>\n<p>\u5bf9\u4e8e\u67e5\u8be2&#xff1a;<\/p>\n<p>Director of Chrysanthemum Bursts in Cincoesquinas?<\/p>\n<p>\u53ef\u4ee5\u5f62\u6210&#xff1a;<\/p>\n<ul>\n<li>Subjects&#xff1a;Director\u3001Chrysanthemum Bursts in Cincoesquinas&#xff1b;<\/li>\n<li>Actions&#xff1a;directed&#xff1b;<\/li>\n<li>Degree Modifiers&#xff1a;\u82e5\u67e5\u8be2\u4e2d\u5b58\u5728\u5bf9\u5e94\u4fee\u9970\u8bcd\u5219\u52a0\u5165&#xff1b;<\/li>\n<li>Temporal Markers&#xff1a;\u82e5\u95ee\u9898\u5305\u542b\u5e74\u4efd\u3001\u6700\u65e9\u3001\u4e4b\u524d\u7b49\u65f6\u95f4\u8868\u8fbe\u5219\u52a0\u5165\u3002<\/li>\n<\/ul>\n<p>\u6bcf\u4e2a\u79cd\u5b50\u90fd\u6210\u4e3a\u72ec\u7acb\u7684\u8bc1\u636e\u751f\u957f\u4e2d\u5fc3&#xff0c;\u6a21\u578b\u4e0d\u5fc5\u5148\u628a\u67e5\u8be2\u4e0e\u6574\u4e2a\u6587\u6863\u505a\u4e00\u6b21\u6574\u4f53\u8bed\u4e49\u5bf9\u9f50\u3002<\/p>\n<h3>4. \u4f5c\u7528\u4e0e\u8fb9\u754c<\/h3>\n<p>\u8bcd\u6027\u79cd\u5b50\u53ef\u4ee5\u964d\u4f4e\u9057\u6f0f\u660e\u786e\u5b9e\u4f53\u3001\u52a8\u4f5c\u548c\u65f6\u95f4\u6761\u4ef6\u7684\u98ce\u9669&#xff0c;\u4f46\u5b83\u4e0d\u662f\u771f\u6b63\u7684\u8bed\u4e49\u89e3\u6790&#xff1a;<\/p>\n<ul>\n<li>spaCy \u6807\u6ce8\u9519\u8bef\u4f1a\u76f4\u63a5\u5f71\u54cd\u79cd\u5b50&#xff1b;<\/li>\n<li>\u9690\u542b\u5173\u7cfb\u4e0d\u4e00\u5b9a\u7531\u8bcd\u6027\u8868\u8fbe&#xff1b;<\/li>\n<li>\u5171\u6307\u3001\u5426\u5b9a\u3001\u6bd4\u8f83\u548c\u590d\u6742\u7ea6\u675f\u53ef\u80fd\u88ab\u62c6\u6563&#xff1b;<\/li>\n<li>\u4e2d\u6587\u7b49\u8bed\u8a00\u7684\u8bcd\u6027\u8fb9\u754c\u4e0e\u82f1\u8bed\u5e76\u4e0d\u5b8c\u5168\u4e00\u81f4\u3002<\/li>\n<\/ul>\n<h2>\u4e94\u3001Memory Fragments Growth&#xff1a;\u4ece\u79cd\u5b50\u751f\u957f\u8bc1\u636e<\/h2>\n<h3>1. \u52a8\u673a&#xff1a;\u4e0d\u662f\u538b\u7f29\u5168\u6587&#xff0c;\u800c\u662f\u56f4\u7ed5\u591a\u4e2a\u951a\u70b9\u62bd\u53d6<\/h3>\n<p>MemSearch-o1 \u5c06\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>       n<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8f6e\u7684 Seeds <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         s<\/p>\n<p>         i<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       s_i^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3217em;vertical-align: -0.2769em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u68c0\u7d22\u6587\u6863 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         D<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       D^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001Memory Growth \u6307\u4ee4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         I<\/p>\n<p>         M<\/p>\n<p>       I_M<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e00\u8d77\u4ea4\u7ed9 LLM\u3002\u6a21\u578b\u9700\u8981\u9488\u5bf9\u6bcf\u4e00\u7c7b\u79cd\u5b50&#xff0c;\u4ece\u539f\u6587\u4e2d\u63d0\u53d6\u76f4\u63a5\u6709\u7528\u3001\u5f7c\u6b64\u591a\u6837\u7684\u5185\u5bb9\u3002<\/p>\n<p>\u9644\u5f55 Prompt \u660e\u786e\u8981\u6c42\u5c3d\u91cf\u4fdd\u7559\u539f\u6587\u63aa\u8f9e&#xff0c;\u4e0d\u8fdb\u884c\u81ea\u7531\u6539\u5199\u3002\u8fd9\u80fd\u964d\u4f4e\u6458\u8981\u5e7b\u89c9&#xff0c;\u4f46\u8bba\u6587\u516c\u5f0f\u4ecd\u5c06\u8fc7\u7a0b\u5efa\u6a21\u4e3a\u751f\u6210&#xff0c;\u56e0\u6b64\u5b9e\u73b0\u8d28\u91cf\u4f9d\u8d56 LLM \u662f\u5426\u9075\u5b88\u62bd\u53d6\u6307\u4ee4\u3002<\/p>\n<h3>2. \u7247\u6bb5\u751f\u6210\u6982\u7387<\/h3>\n<p>\u8bba\u6587\u5c06\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        n<\/p>\n<p>       n<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8f6e\u6240\u6709 Memory Fragments \u7684\u751f\u6210\u6982\u7387\u5199\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          P<\/p>\n<p>          M<\/p>\n<p>         &#061;<\/p>\n<p>          \u220f<\/p>\n<p>           i<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>           L<\/p>\n<p>           r<\/p>\n<p>          \u220f<\/p>\n<p>           t<\/p>\n<p>           &#061;<\/p>\n<p>            T<\/p>\n<p>             s<\/p>\n<p>              i<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             )<\/p>\n<p>           T<\/p>\n<p>            s<\/p>\n<p>            i<\/p>\n<p>            (<\/p>\n<p>            n<\/p>\n<p>            )<\/p>\n<p>         P<\/p>\n<p>          (<\/p>\n<p>           M<\/p>\n<p>           t<\/p>\n<p>            (<\/p>\n<p>            n<\/p>\n<p>            )<\/p>\n<p>          \u2223<\/p>\n<p>           M<\/p>\n<p>            &lt;<\/p>\n<p>            t<\/p>\n<p>            (<\/p>\n<p>            n<\/p>\n<p>            )<\/p>\n<p>          ,<\/p>\n<p>           s<\/p>\n<p>           i<\/p>\n<p>            (<\/p>\n<p>            n<\/p>\n<p>            )<\/p>\n<p>          ,<\/p>\n<p>           I<\/p>\n<p>           M<\/p>\n<p>          ,<\/p>\n<p>           D<\/p>\n<p>            (<\/p>\n<p>            n<\/p>\n<p>            )<\/p>\n<p>          )<\/p>\n<p>         P_M&#061;\\\\prod_{i&#061;1}^{L_r}\\\\prod_{t&#061;T_{s_{i-1}}^{(n)}}^{T_{s_i}^{(n)}}P\\\\left(M_t^{(n)}\\\\mid M_{&lt;t}^{(n)},s_i^{(n)},I_M,D^{(n)}\\\\right) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 4.1628em;vertical-align: -1.8675em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8394em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u220f<\/span><\/span><\/span><span class=\"\" style=\"top: -4.3111em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.2953em\"><span class=\"\" style=\"top: -1.5926em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0591em\"><span class=\"\" style=\"top: -2.377em;margin-left: -0.1389em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3448em;margin-left: 0em;margin-right: 0.1em\"><span class=\"pstrut\" style=\"height: 2.6595em\"><\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3981em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.0591em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4431em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u220f<\/span><\/span><\/span><span class=\"\" style=\"top: -4.5686em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9667em\"><span class=\"\" style=\"top: -2.2497em;margin-left: -0.1389em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3448em;margin-left: 0em;margin-right: 0.1em\"><span class=\"pstrut\" style=\"height: 2.6595em\"><\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3147em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9667em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.5108em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8675em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">(<\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4542em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2458em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4542em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mrel mtight\">&lt;<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2731em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u91cc&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          L<\/p>\n<p>          r<\/p>\n<p>        L_r<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">L<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u79cd\u5b50\u6570\u91cf&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          T<\/p>\n<p>           s<\/p>\n<p>           i<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        T_{s_i}^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.2615em;vertical-align: -0.2167em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.5834em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2167em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         i<\/p>\n<p>        i<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u4e2a\u79cd\u5b50\u5bf9\u5e94\u7247\u6bb5\u7684\u7ed3\u675f\u4f4d\u7f6e&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          M<\/p>\n<p>          t<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        M_t^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.2906em;vertical-align: -0.2458em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4542em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2458em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         t<\/p>\n<p>        t<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span> \u4e2a\u751f\u6210 Token&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          M<\/p>\n<p>           &lt;<\/p>\n<p>           t<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        M_{&lt;t}^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3179em;vertical-align: -0.2731em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4542em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mrel mtight\">&lt;<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2731em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u6b64\u524d\u5df2\u751f\u6210\u7684\u7247\u6bb5 Token&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          D<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        D^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u5f53\u524d\u8f6e\u68c0\u7d22\u7ed3\u679c&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          I<\/p>\n<p>          M<\/p>\n<p>        I_M<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2d\u8fd8\u5305\u542b\u5f53\u524d\u67e5\u8be2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          q<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>        q^{(n)}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0824em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7528\u4e8e\u7ea6\u675f\u62bd\u53d6\u76ee\u6807\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u7684\u91cd\u70b9\u4e0d\u662f\u8bad\u7ec3\u4e00\u4e2a\u65b0\u6982\u7387\u6a21\u578b&#xff0c;\u800c\u662f\u8bf4\u660e&#xff1a;\u6bcf\u6bb5\u8bb0\u5fc6\u7684\u751f\u6210\u90fd\u7531\u7279\u5b9a Seed \u6761\u4ef6\u5316&#xff0c;\u800c\u4e0d\u662f\u5bf9\u6574\u4efd\u6587\u6863\u505a\u4e00\u6b21\u65e0\u5dee\u522b\u603b\u7ed3\u3002<\/p>\n<h3>3. \u4ece\u751f\u6210 Token \u5f97\u5230\u7247\u6bb5<\/h3>\n<p>\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        i<\/p>\n<p>       i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u4e2a Memory Fragment \u5b9a\u4e49\u4e3a\u76f8\u5e94 Token \u533a\u95f4&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         &#061;<\/p>\n<p>          M<\/p>\n<p>            T<\/p>\n<p>             s<\/p>\n<p>              i<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             )<\/p>\n<p>           :<\/p>\n<p>            T<\/p>\n<p>             s<\/p>\n<p>             i<\/p>\n<p>             (<\/p>\n<p>             n<\/p>\n<p>             )<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         m_i^{(n)}&#061;M_{T_{s_{i-1}}^{(n)}:T_{s_i}^{(n)}}^{(n)} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3217em;vertical-align: -0.2769em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.9115em;vertical-align: -0.8667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.1848em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7414em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0591em\"><span class=\"\" style=\"top: -2.377em;margin-left: -0.1389em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3448em;margin-left: 0em;margin-right: 0.1em\"><span class=\"pstrut\" style=\"height: 2.6595em\"><\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3981em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.0591em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4431em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel mtight\">:<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0591em\"><span class=\"\" style=\"top: -2.377em;margin-left: -0.1389em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3448em;margin-left: 0em;margin-right: 0.1em\"><span class=\"pstrut\" style=\"height: 2.6595em\"><\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3147em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.0591em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5357em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3835em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2612em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7414em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8667em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u7cfb\u7edf\u7ecf\u8fc7\u591a\u8f6e\u641c\u7d22\u540e&#xff0c;\u4f1a\u5f97\u5230\u6765\u81ea\u4e0d\u540c\u67e5\u8be2\u3001\u4e0d\u540c\u6587\u6863\u548c\u4e0d\u540c\u79cd\u5b50\u7684\u7247\u6bb5\u96c6\u5408\u3002<\/p>\n<h3>4. \u4e3a\u4ec0\u4e48\u53eb Growth<\/h3>\n<p>\u8fd9\u91cc\u7684\u201c\u751f\u957f\u201d\u6709\u4e09\u5c42\u542b\u4e49&#xff1a;<\/p>\n<li>\u65b0\u67e5\u8be2\u4ea7\u751f\u65b0 Seeds&#xff1b;<\/li>\n<li>\u6bcf\u4e2a Seed \u4ece\u5f53\u524d\u6587\u6863\u5438\u9644\u76f8\u5173\u5185\u5bb9&#xff1b;<\/li>\n<li>\u591a\u8f6e\u641c\u7d22\u6301\u7eed\u6269\u5c55 Fragment \u96c6\u5408\u3002<\/li>\n<p>\u5b83\u4e0d\u662f\u628a\u65e7\u8bb0\u5fc6\u53cd\u590d\u538b\u7f29&#xff0c;\u800c\u662f\u8ba9\u8bb0\u5fc6\u56f4\u7ed5\u63a8\u7406\u76ee\u6807\u9010\u8f6e\u589e\u52a0\u7ec6\u7c92\u5ea6\u8bc1\u636e\u3002<\/p>\n<h3>5. \u98ce\u9669<\/h3>\n<p>Memory Growth \u4ecd\u4f9d\u8d56\u5927\u6a21\u578b\u7406\u89e3\u6587\u6863\u548c\u9075\u5b88\u683c\u5f0f\u3002\u82e5\u6a21\u578b\u9519\u8bef\u5730\u628a\u65e0\u5173\u53e5\u5b50\u62bd\u7ed9\u67d0\u4e2a Seed&#xff0c;\u540e\u7eed Retracing \u53ea\u80fd\u5c1d\u8bd5\u8fc7\u6ee4&#xff0c;\u65e0\u6cd5\u6062\u590d\u4ece\u672a\u88ab\u62bd\u53d6\u7684\u8bc1\u636e\u3002<\/p>\n<h2>\u516d\u3001Memory Path Retracing&#xff1a;\u4ece\u788e\u7247\u56de\u5230\u63a8\u7406\u94fe<\/h2>\n<p>Memory Growth \u63d0\u9ad8\u8986\u76d6\u7387&#xff0c;\u5374\u4f1a\u4ea7\u751f\u65b0\u7684\u95ee\u9898&#xff1a;\u7247\u6bb5\u6765\u81ea\u4e0d\u540c\u8f6e\u6b21&#xff0c;\u4e2d\u95f4\u67e5\u8be2\u53ef\u80fd\u6f02\u79fb&#xff1b;\u5982\u679c\u5168\u90e8\u76f4\u63a5\u8f93\u5165\u6700\u7ec8\u751f\u6210&#xff0c;Memory Dilution \u4ecd\u7136\u5b58\u5728\u3002<\/p>\n<p>Retracing \u56e0\u6b64\u9700\u8981\u56de\u7b54\u4e24\u4e2a\u95ee\u9898&#xff1a;<\/p>\n<li>\u54ea\u4e9b\u7247\u6bb5\u771f\u6b63\u670d\u52a1\u539f\u59cb\u95ee\u9898&#xff1f;<\/li>\n<li>\u8fd9\u4e9b\u7247\u6bb5\u5e94\u8be5\u4ee5\u4ec0\u4e48\u987a\u5e8f\u8fde\u63a5&#xff1f;<\/li>\n<h3>1. \u539f\u95ee\u9898\u76f8\u5173\u6027<\/h3>\n<p>\u5bf9\u4e8e\u7247\u6bb5 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         m<\/p>\n<p>         i<\/p>\n<p>       m_i<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e0e\u539f\u95ee\u9898 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         q<\/p>\n<p>         o<\/p>\n<p>       q_o<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u76f8\u5173\u6027\u8d21\u732e\u5b9a\u4e49\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>           R<\/p>\n<p>           e<\/p>\n<p>           l<\/p>\n<p>         &#061;<\/p>\n<p>         Sim<\/p>\n<p>         \u2061<\/p>\n<p>         (<\/p>\n<p>         Emb<\/p>\n<p>         \u2061<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         )<\/p>\n<p>         ,<\/p>\n<p>         Emb<\/p>\n<p>         \u2061<\/p>\n<p>         (<\/p>\n<p>          q<\/p>\n<p>          o<\/p>\n<p>         )<\/p>\n<p>         )<\/p>\n<p>         C_{Rel}&#061;\\\\operatorname{Sim}(\\\\operatorname{Emb}(m_i),\\\\operatorname{Emb}(q_o)) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Sim<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mop\"><span class=\"mord mathrm\">Emb<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Emb<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">))<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        Emb<\/p>\n<p>        \u2061<\/p>\n<p>       \\\\operatorname{Emb}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Emb<\/span><\/span><\/span><\/span><\/span><\/span> \u4f7f\u7528 Sentence Transformer&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        Sim<\/p>\n<p>        \u2061<\/p>\n<p>       \\\\operatorname{Sim}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Sim<\/span><\/span><\/span><\/span><\/span><\/span> \u4f7f\u7528\u4f59\u5f26\u76f8\u4f3c\u5ea6\u3002<\/p>\n<p>\u8fd9\u4e00\u9879\u91cd\u65b0\u628a\u6240\u6709\u4e2d\u95f4\u7247\u6bb5\u62c9\u56de\u539f\u59cb\u4efb\u52a1\u76ee\u6807&#xff0c;\u9632\u6b62\u6700\u540e\u4e00\u8f6e\u641c\u7d22\u67e5\u8be2\u4e3b\u5bfc\u8bb0\u5fc6\u7b5b\u9009\u3002<\/p>\n<h3>2. Bridge Potential<\/h3>\n<p>\u53ea\u770b\u539f\u95ee\u9898\u76f8\u5173\u6027\u4f1a\u5220\u6389\u591a\u8df3\u6865\u6881&#xff0c;\u6240\u4ee5\u8bba\u6587\u53c8\u5b9a\u4e49\u7247\u6bb5\u4e0e\u5176\u4ed6\u7247\u6bb5\u7684\u8fde\u63a5\u6f5c\u529b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>           B<\/p>\n<p>           P<\/p>\n<p>         &#061;<\/p>\n<p>            \u2211<\/p>\n<p>             j<\/p>\n<p>             \u2260<\/p>\n<p>             i<\/p>\n<p>           sim<\/p>\n<p>           \u2061<\/p>\n<p>           (<\/p>\n<p>            m<\/p>\n<p>            i<\/p>\n<p>           ,<\/p>\n<p>            m<\/p>\n<p>            j<\/p>\n<p>           )<\/p>\n<p>           \u22c5<\/p>\n<p>           \u03c3<\/p>\n<p>           (<\/p>\n<p>            U<\/p>\n<p>             R<\/p>\n<p>             e<\/p>\n<p>             l<\/p>\n<p>           \u2212<\/p>\n<p>            \u03c4<\/p>\n<p>            s<\/p>\n<p>           )<\/p>\n<p>            \u2211<\/p>\n<p>             j<\/p>\n<p>             \u2260<\/p>\n<p>             i<\/p>\n<p>           \u03c3<\/p>\n<p>           (<\/p>\n<p>            U<\/p>\n<p>             R<\/p>\n<p>             e<\/p>\n<p>             l<\/p>\n<p>           \u2212<\/p>\n<p>            \u03c4<\/p>\n<p>            s<\/p>\n<p>           )<\/p>\n<p>         C_{BP}&#061;\\\\frac{\\\\sum_{j\\\\neq i}\\\\operatorname{sim}(m_i,m_j)\\\\cdot\\\\sigma(U_{Rel}-\\\\tau_s)}{\\\\sum_{j\\\\neq i}\\\\sigma(U_{Rel}-\\\\tau_s)} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.6976em;vertical-align: -1.1218em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.5758em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1864em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\"><span class=\"mrel mtight\"><span class=\"mord vbox mtight\"><span class=\"thinbox mtight\"><span class=\"rlap mtight\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"inner\"><span class=\"mord mtight\"><span class=\"mrel mtight\">\ue020<\/span><\/span><\/span><span class=\"fix\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace nobreak mtight\"><\/span><span class=\"mrel mtight\">&#061;<\/span><\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4358em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.8258em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1864em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\"><span class=\"mrel mtight\"><span class=\"mord vbox mtight\"><span class=\"thinbox mtight\"><span class=\"rlap mtight\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"inner\"><span class=\"mord mtight\"><span class=\"mrel mtight\">\ue020<\/span><\/span><\/span><span class=\"fix\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace nobreak mtight\"><\/span><span class=\"mrel mtight\">&#061;<\/span><\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4358em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">sim<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1218em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          U<\/p>\n<p>           R<\/p>\n<p>           e<\/p>\n<p>           l<\/p>\n<p>         &#061;<\/p>\n<p>           max<\/p>\n<p>           \u2061<\/p>\n<p>           j<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>          N<\/p>\n<p>         {<\/p>\n<p>         Sim<\/p>\n<p>         \u2061<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>          j<\/p>\n<p>         ,<\/p>\n<p>          q<\/p>\n<p>           (<\/p>\n<p>           n<\/p>\n<p>           )<\/p>\n<p>         )<\/p>\n<p>         }<\/p>\n<p>         U_{Rel}&#061;\\\\max_{j&#061;1}^{N}\\\\{\\\\operatorname{Sim}(m_j,q^{(n)})\\\\} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0727em;vertical-align: -0.8638em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2089em\"><span class=\"\" style=\"top: -2.3723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">max<\/span><\/span><\/span><span class=\"\" style=\"top: -3.6306em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8638em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">{<\/span><span class=\"mop\"><span class=\"mord mathrm\">Sim<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.938em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c3<\/p>\n<p>       \\\\sigma<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><\/span> \u4e3a ReLU&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03c4<\/p>\n<p>         s<\/p>\n<p>       \\\\tau_s<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u641c\u7d22\u67e5\u8be2\u76f8\u5173\u6027\u9608\u503c\u3002\u76f4\u89c9\u4e0a&#xff0c;\u53ea\u6709\u4e0e\u5f53\u524d\u63a8\u7406\u67e5\u8be2\u8db3\u591f\u76f8\u5173\u7684\u533a\u57df&#xff0c;\u624d\u5e94\u5bf9\u7247\u6bb5\u95f4\u8fde\u63a5\u8d21\u732e\u8f83\u9ad8\u6743\u91cd\u3002<\/p>\n<p>\u4e0d\u8fc7&#xff0c;\u8bba\u6587\u516c\u5f0f\u4e2d\u7684 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         U<\/p>\n<p>          R<\/p>\n<p>          e<\/p>\n<p>          l<\/p>\n<p>       U_{Rel}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u4e00\u4e2a\u6700\u5927\u503c&#xff0c;\u5e76\u5728\u5206\u5b50\u5206\u6bcd\u4e2d\u4ee5\u540c\u6837\u5f62\u5f0f\u51fa\u73b0\u3002\u5982\u679c\u5b83\u5bf9\u6240\u6709 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        j<\/p>\n<p>       j<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span> \u90fd\u662f\u5e38\u6570&#xff0c;\u8fd9\u4e2a\u6743\u91cd\u4f1a\u5728\u5f52\u4e00\u5316\u65f6\u62b5\u6d88\u3002\u8bba\u6587\u6b63\u6587\u60f3\u8868\u8fbe\u7684\u662f\u201c\u7528\u641c\u7d22\u67e5\u8be2\u76f8\u5173\u6027\u5bf9\u7247\u6bb5\u6865\u63a5\u6027\u52a0\u6743\u201d&#xff0c;\u4f46\u516c\u5f0f\u8bb0\u53f7\u6ca1\u6709\u5145\u5206\u8bf4\u660e\u6743\u91cd\u662f\u5426\u5e94\u968f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        j<\/p>\n<p>       j<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span> \u53d8\u5316\u3002\u8fd9\u662f\u65b9\u6cd5\u63cf\u8ff0\u4e2d\u503c\u5f97\u6ce8\u610f\u7684\u4e00\u5904\u6b67\u4e49\u3002<\/p>\n<h3>3. \u603b\u8d21\u732e\u5ea6<\/h3>\n<p>\u7247\u6bb5\u6700\u7ec8\u8d21\u732e\u5ea6\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         ;<\/p>\n<p>          q<\/p>\n<p>          o<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         \u03b1<\/p>\n<p>          C<\/p>\n<p>           R<\/p>\n<p>           e<\/p>\n<p>           l<\/p>\n<p>         &#043;<\/p>\n<p>         \u03b2<\/p>\n<p>          C<\/p>\n<p>           B<\/p>\n<p>           P<\/p>\n<p>         C(m_i;q_o)&#061;\\\\alpha C_{Rel}&#043;\\\\beta C_{BP} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">;<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5b9e\u9a8c\u9ed8\u8ba4&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03b1<\/p>\n<p>         &#061;<\/p>\n<p>         0.6<\/p>\n<p>         ,<\/p>\n<p>         \u03b2<\/p>\n<p>         &#061;<\/p>\n<p>         0.4<\/p>\n<p>         \\\\alpha&#061;0.6,\\\\qquad\\\\beta&#061;0.4 <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">0.6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.4<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u8868\u793a\u7cfb\u7edf\u66f4\u770b\u91cd\u7247\u6bb5\u5bf9\u539f\u95ee\u9898\u7684\u76f4\u63a5\u76f8\u5173\u6027&#xff0c;\u540c\u65f6\u4fdd\u7559\u4e00\u90e8\u5206\u6865\u63a5\u80fd\u529b\u3002<\/p>\n<h3>4. \u6784\u9020 Memory Region<\/h3>\n<p>\u8d21\u732e\u5ea6\u4f4e\u4e8e\u9608\u503c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03c4<\/p>\n<p>         r<\/p>\n<p>       \\\\tau_r<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u7247\u6bb5\u88ab\u8fc7\u6ee4&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          M<\/p>\n<p>           q<\/p>\n<p>           o<\/p>\n<p>         &#061;<\/p>\n<p>         {<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         \u2208<\/p>\n<p>          R<\/p>\n<p>          d<\/p>\n<p>         \u2223<\/p>\n<p>         C<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>         ;<\/p>\n<p>          q<\/p>\n<p>          o<\/p>\n<p>         )<\/p>\n<p>         &gt;<\/p>\n<p>          \u03c4<\/p>\n<p>          r<\/p>\n<p>         }<\/p>\n<p>         M^{q_o}&#061;\\\\{m_i\\\\in R_d\\\\mid C(m_i;q_o)&gt;\\\\tau_r\\\\} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7144em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7144em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0359em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">d<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">;<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         R<\/p>\n<p>         d<\/p>\n<p>       R_d<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">d<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u56de\u6eaf\u5f97\u5230\u7684\u5019\u9009\u8bb0\u5fc6\u533a\u57df&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         M<\/p>\n<p>          q<\/p>\n<p>          o<\/p>\n<p>       M^{q_o}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.0359em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u6700\u7ec8\u7528\u4e8e\u8def\u5f84\u6784\u5efa\u7684\u7247\u6bb5\u96c6\u5408\u3002\u9ed8\u8ba4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03c4<\/p>\n<p>         r<\/p>\n<p>        &#061;<\/p>\n<p>        0.3<\/p>\n<p>       \\\\tau_r&#061;0.3<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.3<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h3>5. \u8bed\u4e49\u5e73\u6ed1\u8def\u5f84<\/h3>\n<p>\u7cfb\u7edf\u4e0d\u4ec5\u8981\u9009\u62e9\u9ad8\u8d21\u732e\u7247\u6bb5&#xff0c;\u8fd8\u8981\u907f\u514d\u76f8\u90bb\u7247\u6bb5\u8df3\u8dc3\u8fc7\u5927\u3002\u8bba\u6587\u5b9a\u4e49\u60e9\u7f5a\u51fd\u6570&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         \u03bc<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>           i<\/p>\n<p>           k<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>         exp<\/p>\n<p>         \u2061<\/p>\n<p>          (<\/p>\n<p>          \u03bb<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>           Sim<\/p>\n<p>           \u2061<\/p>\n<p>           (<\/p>\n<p>            m<\/p>\n<p>             i<\/p>\n<p>             k<\/p>\n<p>           ,<\/p>\n<p>            m<\/p>\n<p>             i<\/p>\n<p>              k<\/p>\n<p>              \u2212<\/p>\n<p>              1<\/p>\n<p>           )<\/p>\n<p>           )<\/p>\n<p>          )<\/p>\n<p>         \\\\mu(m_{i_k})&#061;\\\\exp\\\\left(\\\\lambda\\\\left(1-\\\\operatorname{Sim}(m_{i_k},m_{i_{k-1}})\\\\right)\\\\right) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0059em;vertical-align: -0.2559em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3488em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1512em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2559em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0475em;vertical-align: -0.2975em\"><\/span><span class=\"mop\">exp<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Sim<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3488em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1512em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2559em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3488em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2107em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2975em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5e76\u7ed9\u51fa\u8def\u5f84\u76ee\u6807&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          P<\/p>\n<p>          \u2217<\/p>\n<p>         &#061;<\/p>\n<p>         arg<\/p>\n<p>         \u2061<\/p>\n<p>           max<\/p>\n<p>           \u2061<\/p>\n<p>          P<\/p>\n<p>          \u2211<\/p>\n<p>           k<\/p>\n<p>           &#061;<\/p>\n<p>           1<\/p>\n<p>           \u2223<\/p>\n<p>            M<\/p>\n<p>             q<\/p>\n<p>             o<\/p>\n<p>           \u2223<\/p>\n<p>         C<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>           i<\/p>\n<p>           k<\/p>\n<p>         ;<\/p>\n<p>          q<\/p>\n<p>          o<\/p>\n<p>         )<\/p>\n<p>         \u22c5<\/p>\n<p>         \u03bc<\/p>\n<p>         (<\/p>\n<p>          m<\/p>\n<p>           i<\/p>\n<p>           k<\/p>\n<p>         )<\/p>\n<p>         P^*&#061;\\\\arg\\\\max_P\\\\sum_{k&#061;1}^{|M^{q_o}|}C(m_{i_k};q_o)\\\\cdot\\\\mu(m_{i_k}) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7387em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.2631em;vertical-align: -1.3021em\"><\/span><span class=\"mop\">ar<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4306em\"><span class=\"\" style=\"top: -2.3557em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">max<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7443em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.961em\"><span class=\"\" style=\"top: -1.8479em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><span class=\"\" style=\"top: -4.386em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2223<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7385em\"><span class=\"\" style=\"top: -2.931em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2306em\"><span class=\"\" style=\"top: -2.3em;margin-left: -0.0359em;margin-right: 0.1em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mtight\">\u2223<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3021em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3488em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1512em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2559em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">;<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0059em;vertical-align: -0.2559em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3448em\"><span class=\"\" style=\"top: -2.3488em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1512em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2559em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8bba\u6587\u5c06 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03bc<\/p>\n<p>       \\\\mu<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><\/span> \u79f0\u4e3a\u4fdd\u8bc1\u76f8\u90bb\u8bed\u4e49\u5e73\u6ed1\u7684 penalty&#xff0c;\u5e76\u4f7f\u7528 Greedy Search \u627e\u5230\u6700\u591a\u5305\u542b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        K<\/p>\n<p>        &#061;<\/p>\n<p>        10<\/p>\n<p>       K&#061;10<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">K<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span> \u4e2a\u7247\u6bb5\u7684\u8def\u5f84\u3002<\/p>\n<p>\u8fd9\u91cc\u540c\u6837\u5b58\u5728\u4e00\u4e2a\u503c\u5f97\u6838\u5bf9\u7684\u7b26\u53f7\u95ee\u9898&#xff1a;\u6309\u7167\u516c\u5f0f&#xff0c;\u7247\u6bb5\u8d8a\u4e0d\u76f8\u4f3c&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        1<\/p>\n<p>        \u2212<\/p>\n<p>        Sim<\/p>\n<p>        \u2061<\/p>\n<p>       1-\\\\operatorname{Sim}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mop\"><span class=\"mord mathrm\">Sim<\/span><\/span><\/span><\/span><\/span><\/span> \u8d8a\u5927&#xff0c;\u6307\u6570\u9879\u53cd\u800c\u8d8a\u5927&#xff1b;\u82e5\u76ee\u6807\u662f\u6700\u5927\u5316&#xff0c;\u53ef\u80fd\u4f1a\u5956\u52b1\u800c\u4e0d\u662f\u60e9\u7f5a\u8bed\u4e49\u8df3\u8dc3\u3002\u9664\u975e\u5b9e\u73b0\u4e2d\u4f7f\u7528\u8d1f\u53f7\u3001\u5012\u6570\u6216\u6700\u5c0f\u5316\u5f62\u5f0f&#xff0c;\u5426\u5219\u516c\u5f0f\u4e0e\u201c\u5e73\u6ed1\u60e9\u7f5a\u201d\u7684\u6587\u5b57\u89e3\u91ca\u4e0d\u5b8c\u5168\u4e00\u81f4\u3002\u6b63\u5f0f\u4ee3\u7801\u53ef\u4ee5\u5e2e\u52a9\u8fdb\u4e00\u6b65\u5224\u65ad\u5b9e\u73b0\u91c7\u7528\u54ea\u4e00\u79cd\u5f62\u5f0f\u3002<\/p>\n<h3>6. \u4e3a\u4ec0\u4e48\u6700\u7ec8\u4e0d\u518d\u8f93\u5165\u5b8c\u6574\u5386\u53f2<\/h3>\n<p>Memory Path \u5df2\u7ecf\u5305\u542b\u7ecf\u8fc7\u7b5b\u9009\u548c\u6392\u5e8f\u7684\u5173\u952e\u8bc1\u636e&#xff0c;\u6700\u7ec8\u751f\u6210\u53ea\u4f7f\u7528 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         P<\/p>\n<p>         \u2217<\/p>\n<p>       P^*<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e0d\u518d\u4f9d\u8d56\u5b8c\u6574 System Memory\u3002<\/p>\n<p>\u8fd9\u4e00\u6b65\u624d\u771f\u6b63\u7f13\u89e3 Token \u81a8\u80c0&#xff1a;\u524d\u9762\u4e0d\u662f\u5355\u7eaf\u751f\u6210\u4e00\u4e2a\u8f85\u52a9\u7d22\u5f15&#xff0c;\u800c\u662f\u7528\u77ed\u8def\u5f84\u66ff\u6362\u539f\u59cb\u957f\u8f68\u8ff9\u3002<\/p>\n<h2>\u4e03\u3001\u5b8c\u6574\u63a8\u7406\u6d41\u7a0b<\/h2>\n<p>\u9644\u5f55 Algorithm 1 \u5c55\u793a\u4e86\u63a8\u7406\u8fc7\u7a0b\u3002<\/p>\n<h3>1. \u521d\u59cb\u5316<\/h3>\n<p>\u7cfb\u7edf\u51c6\u5907&#xff1a;<\/p>\n<ul>\n<li>\u5177\u5907\u63a8\u7406\u80fd\u529b\u7684 LLM <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         R<\/p>\n<p>        \\\\mathcal{R}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">R<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>Search \u68c0\u7d22\u51fd\u6570&#xff1b;<\/li>\n<li>Seed Preparation \u5de5\u5177 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         T<\/p>\n<p>        \\\\mathcal{T}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.2542em\">T<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u539f\u95ee\u9898 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          q<\/p>\n<p>          o<\/p>\n<p>        q_o<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u63a8\u7406\u3001Memory Growth \u548c\u56de\u7b54\u6307\u4ee4&#xff1b;<\/li>\n<li>\u6700\u5927\u641c\u7d22\u8f6e\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         N<\/p>\n<p>        N<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<h3>2. \u8fed\u4ee3\u641c\u7d22<\/h3>\n<p>\u6bcf\u4e00\u8f6e\u6a21\u578b\u751f\u6210\u63a8\u7406\u6587\u672c\u3002\u5982\u679c\u8f93\u51fa\u641c\u7d22\u6807\u8bb0&#xff0c;\u5c31\u62bd\u53d6\u67e5\u8be2 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         q<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       q^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0824em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u68c0\u7d22 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         D<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       D^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.888em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u51c6\u5907 Seeds&#xff0c;\u5e76\u751f\u957f Memory Fragments\u3002\u82e5\u6a21\u578b\u8f93\u51fa EOS&#xff0c;\u5219\u505c\u6b62\u7ee7\u7eed\u641c\u7d22\u3002<\/p>\n<h3>3. \u5168\u5c40\u56de\u6eaf<\/h3>\n<p>\u641c\u7d22\u7ed3\u675f\u540e&#xff0c;\u7cfb\u7edf\u5408\u5e76\u5168\u90e8\u8f6e\u6b21\u7247\u6bb5&#xff0c;\u8ba1\u7b97\u8d21\u732e\u5ea6&#xff0c;\u7b5b\u51fa Memory Region&#xff0c;\u5e76\u901a\u8fc7 Greedy Search \u5f62\u6210 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         P<\/p>\n<p>         \u2217<\/p>\n<p>       P^*<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h3>4. \u6700\u7ec8\u56de\u7b54<\/h3>\n<p>\u6700\u7ec8\u6a21\u578b\u53ea\u6839\u636e\u539f\u95ee\u9898\u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         P<\/p>\n<p>         \u2217<\/p>\n<p>       P^*<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u751f\u6210\u7b54\u6848\u3002<\/p>\n<h2>\u516b\u3001\u5b9e\u9a8c\u8bbe\u7f6e<\/h2>\n<h3>1. \u6570\u636e\u96c6<\/h3>\n<p>\u4e3b\u5b9e\u9a8c\u4f7f\u7528 LongBench \u4e2d\u516b\u4e2a\u4efb\u52a1\u3002<\/p>\n<table>\n<tr>\u7c7b\u578b\u6570\u636e\u96c6\u8bed\u8a00\u6837\u672c\u6570\u5e73\u5747\u957f\u5ea6\u6307\u6807<\/tr>\n<tbody>\n<tr>\n<td>MultiDocQA<\/td>\n<td>HotpotQA<\/td>\n<td>\u82f1\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">9,151<\/td>\n<td>F1<\/td>\n<\/tr>\n<tr>\n<td>MultiDocQA<\/td>\n<td>2WikiMultihopQA<\/td>\n<td>\u82f1\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">4,887<\/td>\n<td>F1<\/td>\n<\/tr>\n<tr>\n<td>MultiDocQA<\/td>\n<td>MuSiQue<\/td>\n<td>\u82f1\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">11,214<\/td>\n<td>F1<\/td>\n<\/tr>\n<tr>\n<td>MultiDocQA<\/td>\n<td>DuReader<\/td>\n<td>\u4e2d\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">15,768<\/td>\n<td>ROUGE-L<\/td>\n<\/tr>\n<tr>\n<td>SingleDocQA<\/td>\n<td>MultiFieldQA-en<\/td>\n<td>\u82f1\u6587<\/td>\n<td align=\"right\">150<\/td>\n<td align=\"right\">4,559<\/td>\n<td>F1<\/td>\n<\/tr>\n<tr>\n<td>SingleDocQA<\/td>\n<td>MultiFieldQA-zh<\/td>\n<td>\u4e2d\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">6,701<\/td>\n<td>F1<\/td>\n<\/tr>\n<tr>\n<td>SingleDocQA<\/td>\n<td>NarrativeQA<\/td>\n<td>\u82f1\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">18,409<\/td>\n<td>F1<\/td>\n<\/tr>\n<tr>\n<td>SingleDocQA<\/td>\n<td>Qasper<\/td>\n<td>\u82f1\u6587<\/td>\n<td align=\"right\">200<\/td>\n<td align=\"right\">3,619<\/td>\n<td>F1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6269\u5c55\u5b9e\u9a8c\u8fd8\u4f7f\u7528&#xff1a;<\/p>\n<ul>\n<li>LongBench v2&#xff1a;15K\u2013129K Token&#xff0c;\u8986\u76d6\u5b66\u672f\u3001\u6cd5\u5f8b\u3001\u91d1\u878d\u3001\u653f\u5e9c\u62a5\u544a\u7b49\u9886\u57df&#xff1b;<\/li>\n<li>LongBookQA-en&#xff1a;\u7ea6 192K Token&#xff1b;<\/li>\n<li>LongBookQA-zh&#xff1a;\u7ea6 2.068M Token\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160106-6a96f6c2d333c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 6\u3002Table 6 \u7ed9\u51fa\u516b\u4e2a\u4e3b\u8bc4\u6d4b\u6570\u636e\u96c6\u7684\u6307\u6807\u3001\u5e73\u5747\u957f\u5ea6\u3001\u8bed\u8a00\u548c\u6837\u672c\u6570&#xff0c;\u8bf4\u660e\u4e3b\u5b9e\u9a8c\u540c\u65f6\u8986\u76d6\u591a\u6587\u6863\u3001\u5355\u6587\u6863\u3001\u4e2d\u82f1\u6587\u548c\u4e0d\u540c\u4e0a\u4e0b\u6587\u957f\u5ea6\u3002<\/p>\n<h3>2. Backbone<\/h3>\n<p>\u4e3b\u5b9e\u9a8c\u4f7f\u7528&#xff1a;<\/p>\n<ul>\n<li>Qwen2.5-72B-Instruct&#xff1b;<\/li>\n<li>DeepSeek V3.1\u3002<\/li>\n<\/ul>\n<p>\u6a21\u578b\u89c4\u6a21\u5b9e\u9a8c\u989d\u5916\u4f7f\u7528 Qwen2.5 0.5B \u5230 72B \u7cfb\u5217\u3002<\/p>\n<h3>3. \u68c0\u7d22\u4e0e\u8d85\u53c2\u6570<\/h3>\n<ul>\n<li>Retriever \u4e0e Embedding&#xff1a;BGE-M3&#xff1b;<\/li>\n<li>\u6700\u5927\u641c\u7d22\u8f6e\u6570&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         N<\/p>\n<p>         &#061;<\/p>\n<p>         5<\/p>\n<p>        N&#061;5<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">5<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u6bcf\u8f6e\u9ed8\u8ba4 Top-k&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         k<\/p>\n<p>         &#061;<\/p>\n<p>         3<\/p>\n<p>        k&#061;3<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>Chunk Size&#xff1a;256 Tokens&#xff1b;<\/li>\n<li>\u8fc7\u6ee4\u9608\u503c&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          \u03c4<\/p>\n<p>          s<\/p>\n<p>         &#061;<\/p>\n<p>          \u03c4<\/p>\n<p>          r<\/p>\n<p>         &#061;<\/p>\n<p>         0.3<\/p>\n<p>        \\\\tau_s&#061;\\\\tau_r&#061;0.3<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">s<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.3<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u8d21\u732e\u6743\u91cd&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         \u03b1<\/p>\n<p>         &#061;<\/p>\n<p>         0.6<\/p>\n<p>         ,<\/p>\n<p>         \u03b2<\/p>\n<p>         &#061;<\/p>\n<p>         0.4<\/p>\n<p>        \\\\alpha&#061;0.6,\\\\beta&#061;0.4<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">0.6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.4<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u8def\u5f84\u5e73\u6ed1\u53c2\u6570&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         \u03bb<\/p>\n<p>         &#061;<\/p>\n<p>         1<\/p>\n<p>        \\\\lambda&#061;1<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>&#xff1b;<\/li>\n<li>\u6700\u5927\u8def\u5f84\u957f\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>         K<\/p>\n<p>         &#061;<\/p>\n<p>         10<\/p>\n<p>        K&#061;10<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">K<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<h3>4. Baselines<\/h3>\n<p>\u4e3b\u8868\u6bd4\u8f83 Direct RAG\u3001Search-o1&#xff08;RAgent&#xff09;\u3001Search-o1&#xff08;Refined&#xff09;\u3001MemoryBank\u3001A-Mem\u3001Amber\u3002\u9644\u5f55\u8fdb\u4e00\u6b65\u52a0\u5165 Zep \u4e0e MIRIX\u3002<\/p>\n<h2>\u4e5d\u3001\u4e3b\u5b9e\u9a8c&#xff1a;\u662f\u5426\u771f\u6b63\u7f13\u89e3 Memory Dilution<\/h2>\n<h3>1. LongBench \u603b\u4f53\u7ed3\u679c<\/h3>\n<h4>Qwen2.5-72B-Instruct<\/h4>\n<table>\n<tr>\u65b9\u6cd5MultiDoc\/SingleDoc \u516b\u4efb\u52a1\u5e73\u5747\u5206<\/tr>\n<tbody>\n<tr>\n<td>Direct RAG<\/td>\n<td align=\"right\">38.51<\/td>\n<\/tr>\n<tr>\n<td>Search-o1&#xff08;RAgent&#xff09;<\/td>\n<td align=\"right\">38.62<\/td>\n<\/tr>\n<tr>\n<td>Search-o1&#xff08;Refined&#xff09;<\/td>\n<td align=\"right\">31.63<\/td>\n<\/tr>\n<tr>\n<td>MemoryBank<\/td>\n<td align=\"right\">32.26<\/td>\n<\/tr>\n<tr>\n<td>A-Mem<\/td>\n<td align=\"right\">36.96<\/td>\n<\/tr>\n<tr>\n<td>Amber<\/td>\n<td align=\"right\">38.40<\/td>\n<\/tr>\n<tr>\n<td>MemSearch-o1<\/td>\n<td align=\"right\">45.53<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>MemSearch-o1 \u76f8\u6bd4\u6700\u5f3a\u57fa\u7ebf Search-o1&#xff08;RAgent&#xff09;\u7684\u5e73\u5747\u5206\u63d0\u9ad8 6.91 \u5206\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f&#xff0c;Search-o1&#xff08;Refined&#xff09;\u53ea\u6709 31.63&#xff0c;\u751a\u81f3\u663e\u8457\u4f4e\u4e8e\u672a\u7cbe\u70bc\u7684 38.62&#xff0c;\u76f4\u63a5\u8bf4\u660e\u4e0d\u6070\u5f53\u7684\u603b\u7ed3\u4f1a\u9020\u6210\u4fe1\u606f\u635f\u5931\u3002<\/p>\n<h4>DeepSeek V3.1<\/h4>\n<table>\n<tr>\u65b9\u6cd5\u516b\u4efb\u52a1\u5e73\u5747\u5206<\/tr>\n<tbody>\n<tr>\n<td>Direct RAG<\/td>\n<td align=\"right\">36.11<\/td>\n<\/tr>\n<tr>\n<td>Search-o1&#xff08;RAgent&#xff09;<\/td>\n<td align=\"right\">39.05<\/td>\n<\/tr>\n<tr>\n<td>Search-o1&#xff08;Refined&#xff09;<\/td>\n<td align=\"right\">31.85<\/td>\n<\/tr>\n<tr>\n<td>MemoryBank<\/td>\n<td align=\"right\">34.49<\/td>\n<\/tr>\n<tr>\n<td>A-Mem<\/td>\n<td align=\"right\">32.22<\/td>\n<\/tr>\n<tr>\n<td>Amber<\/td>\n<td align=\"right\">39.79<\/td>\n<\/tr>\n<tr>\n<td>MemSearch-o1<\/td>\n<td align=\"right\">48.17<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>MemSearch-o1 \u76f8\u6bd4\u6700\u5f3a\u57fa\u7ebf Amber \u63d0\u9ad8 8.38 \u5206\u3002<\/p>\n<p>\u8bba\u6587\u62a5\u544a\u7ed3\u679c\u6765\u81ea\u591a\u6b21\u8fd0\u884c&#xff0c;\u5e76\u7528\u53cc\u4fa7 t-test \u68c0\u9a8c&#xff1b;\u661f\u53f7\u8868\u793a\u76f8\u5bf9\u57fa\u7ebf\u8fbe\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        p<\/p>\n<p>        &lt;<\/p>\n<p>        0.05<\/p>\n<p>       p&lt;0.05<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7335em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0.05<\/span><\/span><\/span><\/span><\/span> \u7684\u663e\u8457\u63d0\u5347\u3002\u8fd9\u6bd4\u53ea\u62a5\u544a\u4e00\u6b21 LLM \u8fd0\u884c\u66f4\u53ef\u9760&#xff0c;\u4f46\u6b63\u6587\u6ca1\u6709\u5728\u4e3b\u8868 caption \u4e2d\u7ed9\u51fa\u6bcf\u9879\u5b9e\u9a8c\u7684\u5177\u4f53\u8fd0\u884c\u6b21\u6570\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160106-6a96f6c2e0d3b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 1\u3002Table 1 \u5c55\u793a\u4e24\u4e2a Backbone \u5728\u516b\u4e2a LongBench \u4efb\u52a1\u4e0a\u7684\u5b8c\u6574\u7ed3\u679c&#xff0c;\u5e76\u7528\u661f\u53f7\u6807\u8bb0\u663e\u8457\u63d0\u5347\u3002\u8be5\u8868\u652f\u6301 MemSearch-o1 \u5728\u4e0d\u540c\u6a21\u578b\u4e0e\u4efb\u52a1\u7c7b\u578b\u4e0a\u603b\u4f53\u9886\u5148&#xff0c;\u4f46\u4e5f\u5b58\u5728\u4e2a\u522b\u975e\u6700\u4f18\u9879\u3002<\/p>\n<h3>2. \u591a\u8df3\u4efb\u52a1\u63d0\u5347\u6700\u660e\u663e<\/h3>\n<p>\u4f7f\u7528 DeepSeek V3.1 \u65f6&#xff1a;<\/p>\n<ul>\n<li>HotpotQA&#xff1a;MemSearch-o1 \u4e3a 67.78&#xff0c;\u6700\u5f3a\u57fa\u7ebf 55.59&#xff1b;<\/li>\n<li>2WikiMQA&#xff1a;68.32&#xff0c;\u6700\u5f3a\u57fa\u7ebf 58.63&#xff1b;<\/li>\n<li>MuSiQue&#xff1a;52.01&#xff0c;\u6700\u5f3a\u57fa\u7ebf 44.31\u3002<\/li>\n<\/ul>\n<p>\u8bba\u6587\u6b63\u6587\u79f0\u5206\u522b\u63d0\u5347 21.93%\u300116.53% \u548c 17.38%&#xff0c;\u8fd9\u91cc\u4f7f\u7528\u7684\u662f\u76f8\u5bf9\u63d0\u5347\u7387&#xff0c;\u800c\u4e0d\u662f\u767e\u5206\u70b9\u5dee\u3002\u6362\u6210\u7edd\u5bf9\u63d0\u5347\u5206\u522b\u662f 12.19\u30019.69 \u548c 7.70 \u5206\u3002<\/p>\n<p>\u8fd9\u7b26\u5408\u65b9\u6cd5\u673a\u5236&#xff1a;\u591a\u8df3\u95ee\u9898\u9700\u8981\u8fde\u63a5\u591a\u4e2a\u5206\u6563\u8bc1\u636e&#xff0c;Bridge Potential \u4e0e Memory Path \u7684\u4ef7\u503c\u66f4\u660e\u663e\u3002<\/p>\n<h3>3. \u4e2a\u522b\u4efb\u52a1\u5e76\u975e\u7edd\u5bf9\u6700\u4f18<\/h3>\n<p>Qwen2.5 \u4e0b&#xff0c;MemSearch-o1 \u5728 MuSiQue \u5f97\u5206 44.11&#xff0c;\u7565\u4f4e\u4e8e Search-o1&#xff08;RAgent&#xff09;\u7684 44.78&#xff1b;NarrativeQA \u4e3a 17.30&#xff0c;\u4e5f\u4f4e\u4e8e Direct RAG \u7684 17.73\u3002<\/p>\n<p>\u8fd9\u8bf4\u660e\u5f53\u8bc1\u636e\u8f83\u5c40\u90e8\u3001\u5355\u6b21\u68c0\u7d22\u5df2\u7ecf\u8db3\u591f&#xff0c;\u6216\u8005\u4efb\u52a1\u66f4\u4f9d\u8d56\u957f\u7bc7\u53d9\u4e8b\u7406\u89e3\u65f6&#xff0c;\u989d\u5916\u7684 Agentic Search \u4e0e Memory Growth \u4e0d\u4e00\u5b9a\u5e26\u6765\u7a33\u5b9a\u6536\u76ca\u3002<\/p>\n<p>\u8bba\u6587\u4e5f\u627f\u8ba4\u5f88\u591a Deep Search \u65b9\u6cd5\u4f1a\u5728\u5c40\u90e8\u8bc1\u636e\u4efb\u52a1\u4e0a Over-search\u3002MemSearch-o1 \u964d\u4f4e\u4e86\u8be5\u95ee\u9898&#xff0c;\u4f46\u6ca1\u6709\u5b8c\u5168\u6d88\u9664\u3002<\/p>\n<h3>4. LongBench v2<\/h3>\n<table>\n<tr>\u65b9\u6cd5\u5e73\u5747 Accuracy<\/tr>\n<tbody>\n<tr>\n<td>Direct RAG<\/td>\n<td align=\"right\">28.91<\/td>\n<\/tr>\n<tr>\n<td>Search-o1&#xff08;Refined&#xff09;<\/td>\n<td align=\"right\">30.96<\/td>\n<\/tr>\n<tr>\n<td>A-Mem<\/td>\n<td align=\"right\">39.33<\/td>\n<\/tr>\n<tr>\n<td>Amber<\/td>\n<td align=\"right\">35.85<\/td>\n<\/tr>\n<tr>\n<td>MemSearch-o1<\/td>\n<td align=\"right\">42.31<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>MemSearch-o1 \u5728\u91d1\u878d\u9886\u57df\u8fbe\u5230 48.65&#xff0c;\u663e\u8457\u9ad8\u4e8e A-Mem \u7684 40.54&#xff1b;\u4f46\u5728 Academic \u548c Legal \u4e0a\u5206\u522b\u4e0e\u6700\u4f73\u7ed3\u679c\u6301\u5e73&#xff0c;\u800c\u4e0d\u662f\u5168\u9762\u72ec\u5360\u7b2c\u4e00\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c31e338.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 2\u3002Table 2 \u6bd4\u8f83 LongBench v2 \u4e0d\u540c\u77e5\u8bc6\u9886\u57df\u7684 Accuracy\u3002\u5b83\u652f\u6301 MemSearch-o1 \u80fd\u6269\u5c55\u5230\u66f4\u957f\u3001\u66f4\u4e13\u4e1a\u7684\u8bed\u6599&#xff0c;\u4f46 Academic \u4e0e Legal \u4ec5\u5e76\u5217\u6700\u4f18\u3002<\/p>\n<h3>5. LongBookQA<\/h3>\n<p>\u5728 LongBookQA-en&#xff1a;<\/p>\n<ul>\n<li>Direct RAG&#xff1a;F1 23.13 \/ EM 15.67&#xff1b;<\/li>\n<li>MemSearch-o1&#xff1a;F1 25.04 \/ EM 17.66\u3002<\/li>\n<\/ul>\n<p>\u5728 LongBookQA-zh&#xff1a;<\/p>\n<ul>\n<li>Direct RAG&#xff1a;F1 37.28 \/ EM 30.16&#xff1b;<\/li>\n<li>MemSearch-o1&#xff1a;F1 39.44 \/ EM 33.86\u3002<\/li>\n<\/ul>\n<p>\u63d0\u5347\u5b58\u5728\u4e14\u5177\u6709\u7edf\u8ba1\u663e\u8457\u6027&#xff0c;\u4f46\u5e45\u5ea6\u5c0f\u4e8e\u591a\u8df3 QA\u3002\u8fd9\u8fdb\u4e00\u6b65\u8bf4\u660e MemSearch-o1 \u7684\u4e3b\u8981\u4f18\u52bf\u662f\u7ec4\u7ec7\u591a\u8f6e\u3001\u5206\u6563\u8bc1\u636e&#xff0c;\u800c\u4e0d\u662f\u5bf9\u6240\u6709\u957f\u4e0a\u4e0b\u6587\u4efb\u52a1\u90fd\u4ea7\u751f\u540c\u7b49\u589e\u76ca\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c3402a2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c34d7ee.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 3 \u4e0e Table 4\u3002\u4e24\u8868\u5206\u522b\u7ed9\u51fa LongBookQA-en \u548c LongBookQA-zh \u7684 F1\/EM&#xff0c;\u652f\u6301 MemSearch-o1 \u5728 192K \u4e0e 2.068M Token \u8bed\u6599\u4e0a\u4ecd\u80fd\u4fdd\u6301\u4f18\u52bf\u3002<\/p>\n<h2>\u5341\u3001\u6d88\u878d\u5b9e\u9a8c&#xff1a;Growth \u4e0e Retracing \u662f\u5426\u90fd\u5fc5\u8981<\/h2>\n<p>\u8bba\u6587\u4ee5 DeepSeek V3.1 \u4e3a\u57fa\u7840&#xff0c;\u9010\u6b65\u79fb\u9664 Memory Path Retracing \u548c\u5b8c\u6574 Memory Management\u3002<\/p>\n<table>\n<tr>\u6570\u636e\u96c6\u65e0\u8bb0\u5fc6\u7ba1\u7406\u65e0 Retracing\u5b8c\u6574\u6a21\u578b<\/tr>\n<tbody>\n<tr>\n<td>HotpotQA<\/td>\n<td align=\"right\">54.64<\/td>\n<td align=\"right\">64.27<\/td>\n<td align=\"right\">67.78<\/td>\n<\/tr>\n<tr>\n<td>2WikiMQA<\/td>\n<td align=\"right\">56.41<\/td>\n<td align=\"right\">63.91<\/td>\n<td align=\"right\">68.32<\/td>\n<\/tr>\n<tr>\n<td>MuSiQue<\/td>\n<td align=\"right\">44.31<\/td>\n<td align=\"right\">47.69<\/td>\n<td align=\"right\">52.01<\/td>\n<\/tr>\n<tr>\n<td>DuReader<\/td>\n<td align=\"right\">15.28<\/td>\n<td align=\"right\">25.05<\/td>\n<td align=\"right\">27.23<\/td>\n<\/tr>\n<tr>\n<td>NarrativeQA<\/td>\n<td align=\"right\">20.59<\/td>\n<td align=\"right\">22.50<\/td>\n<td align=\"right\">23.04<\/td>\n<\/tr>\n<tr>\n<td>Qasper<\/td>\n<td align=\"right\">33.04<\/td>\n<td align=\"right\">35.30<\/td>\n<td align=\"right\">37.94<\/td>\n<\/tr>\n<tr>\n<td>MultiFieldQA-en<\/td>\n<td align=\"right\">38.67<\/td>\n<td align=\"right\">46.33<\/td>\n<td align=\"right\">52.26<\/td>\n<\/tr>\n<tr>\n<td>MultiFieldQA-zh<\/td>\n<td align=\"right\">49.76<\/td>\n<td align=\"right\">53.73<\/td>\n<td align=\"right\">56.81<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>1. Memory Growth \u662f\u4e3b\u8981\u589e\u76ca\u6765\u6e90<\/h3>\n<p>\u4ece\u201c\u65e0\u8bb0\u5fc6\u7ba1\u7406\u201d\u5230\u201c\u65e0 Retracing\u201d&#xff0c;\u516b\u4e2a\u4efb\u52a1\u5168\u90e8\u63d0\u5347\u3002\u4f8b\u5982 HotpotQA \u4ece 54.64 \u63d0\u5347\u5230 64.27&#xff0c;DuReader \u4ece 15.28 \u63d0\u5347\u5230 25.05\u3002\u8fd9\u8bf4\u660e\u6309 Seed \u751f\u957f Fragment \u5df2\u7ecf\u80fd\u663e\u8457\u51cf\u5c11\u76f4\u63a5\u8f93\u5165\u5197\u4f59\u6587\u6863\u9020\u6210\u7684\u5e72\u6270\u3002<\/p>\n<h3>2. Retracing \u63d0\u4f9b\u7b2c\u4e8c\u5c42\u589e\u76ca<\/h3>\n<p>\u52a0\u5165 Retracing \u540e\u540c\u6837\u5728\u5168\u90e8\u4efb\u52a1\u4e0a\u7ee7\u7eed\u63d0\u9ad8\u3002MultiFieldQA-en \u4ece 46.33 \u63d0\u5347\u5230 52.26&#xff0c;2WikiMQA \u4ece 63.91 \u63d0\u5347\u5230 68.32\u3002<\/p>\n<p>\u56e0\u6b64&#xff0c;Growth \u8d1f\u8d23\u201c\u4e0d\u8981\u6f0f\u6389\u7ec6\u7c92\u5ea6\u8bc1\u636e\u201d&#xff0c;Retracing \u8d1f\u8d23\u201c\u4e0d\u8981\u8ba9\u6240\u6709\u7247\u6bb5\u518d\u6b21\u53d8\u6210\u957f\u800c\u6742\u4e71\u7684\u4e0a\u4e0b\u6587\u201d\u3002<\/p>\n<h3>3. \u6d88\u878d\u4ecd\u7f3a\u5c11\u7684\u8bc1\u636e<\/h3>\n<p>\u8bba\u6587\u6ca1\u6709\u5355\u72ec\u79fb\u9664&#xff1a;<\/p>\n<ul>\n<li>POS Seed&#xff0c;\u53ea\u4fdd\u7559\u666e\u901a Query-guided Extraction&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          C<\/p>\n<p>           R<\/p>\n<p>           e<\/p>\n<p>           l<\/p>\n<p>        C_{Rel}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6216 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          C<\/p>\n<p>           B<\/p>\n<p>           P<\/p>\n<p>        C_{BP}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2d\u7684\u67d0\u4e00\u9879&#xff1b;<\/li>\n<li>Semantic Smoothness Penalty&#xff1b;<\/li>\n<li>Greedy Ordering&#xff0c;\u4ec5\u4fdd\u7559 Top Contribution Fragments\u3002<\/li>\n<\/ul>\n<p>\u56e0\u6b64 Table 5 \u8bc1\u660e\u4e86\u6574\u4f53 Growth \u548c Retracing \u6709\u6548&#xff0c;\u5374\u6ca1\u6709\u5b8c\u5168\u56de\u7b54\u6bcf\u4e2a\u516c\u5f0f\u7ec4\u4ef6\u5206\u522b\u8d21\u732e\u591a\u5c11\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c35a8c7.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 5\u3002Table 5 \u662f\u6838\u5fc3\u6d88\u878d&#xff0c;\u663e\u793a\u4ece\u65e0\u8bb0\u5fc6\u3001\u52a0\u5165 Growth\u3001\u518d\u52a0\u5165 Retracing \u540e\u516b\u4e2a\u4efb\u52a1\u9010\u7ea7\u63d0\u5347\u3002<\/p>\n<h2>\u5341\u4e00\u3001\u6a21\u578b\u89c4\u6a21&#xff1a;\u5c0f\u6a21\u578b\u80fd\u5426\u4f7f\u7528\u8fd9\u5957\u65b9\u6cd5<\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c3692d5.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Figure 2\u3002MemSearch-o1 \u5177\u6709\u8f83\u597d\u7684 Scaling \u8d8b\u52bf&#xff0c;\u4f46 3B \u4ee5\u4e0b\u6a21\u578b\u6536\u76ca\u6709\u9650\u3002<\/p>\n<p>Figure 2 \u4f7f\u7528 Qwen2.5 0.5B\u201372B \u5728 2WikiMQA \u4e0a\u6d4b\u8bd5\u3002<\/p>\n<p>\u4e3b\u8981\u73b0\u8c61\u662f&#xff1a;<\/p>\n<ul>\n<li>\u5c0f\u4e8e 3B \u7684\u6a21\u578b\u96be\u4ee5\u7a33\u5b9a\u9075\u5b88\u641c\u7d22\u548c\u62bd\u53d6\u6307\u4ee4&#xff1b;<\/li>\n<li>\u7ea6\u4ece 3B \u5f00\u59cb&#xff0c;MemSearch-o1 \u7684 Deep Search \u80fd\u529b\u660e\u663e\u88ab\u6fc0\u6d3b&#xff1b;<\/li>\n<li>\u6a21\u578b\u7ee7\u7eed\u589e\u5927\u65f6&#xff0c;MemSearch-o1 \u7684\u8868\u73b0\u8f83\u7a33\u5b9a\u5730\u63d0\u5347&#xff1b;<\/li>\n<li>Amber \u7684\u660e\u663e\u6536\u76ca\u51fa\u73b0\u5f97\u66f4\u665a&#xff0c;\u5927\u7ea6\u5728 7B \u4ee5\u4e0a&#xff1b;<\/li>\n<li>Search-o1&#xff08;Refined&#xff09;\u968f\u89c4\u6a21\u589e\u5927\u4ecd\u6709\u6ce2\u52a8\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u8bf4\u660e MemSearch-o1 \u4e0d\u662f\u4e00\u4e2a\u80fd\u72ec\u7acb\u8865\u507f\u5f31\u6a21\u578b\u63a8\u7406\u80fd\u529b\u7684\u6a21\u5757\u3002\u5b83\u964d\u4f4e\u4e86\u8bb0\u5fc6\u566a\u58f0&#xff0c;\u4f46 Seed Extraction\u3001Fragment Growth \u548c\u591a\u8f6e\u641c\u7d22\u4ecd\u8981\u6c42 Backbone \u5177\u5907\u8f83\u5f3a\u7684\u6307\u4ee4\u9075\u5faa\u4e0e\u63a8\u7406\u80fd\u529b\u3002<\/p>\n<h2>\u5341\u4e8c\u3001Top-k \u654f\u611f\u6027&#xff1a;\u66f4\u591a\u68c0\u7d22\u6587\u6863\u662f\u5426\u66f4\u597d<\/h2>\n<p>\u8bba\u6587\u4ee4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>        \u2208<\/p>\n<p>        {<\/p>\n<p>        1<\/p>\n<p>        ,<\/p>\n<p>        2<\/p>\n<p>        ,<\/p>\n<p>        3<\/p>\n<p>        ,<\/p>\n<p>        5<\/p>\n<p>        ,<\/p>\n<p>        10<\/p>\n<p>        }<\/p>\n<p>       k\\\\in\\\\{1,2,3,5,10\\\\}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7335em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">10<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u89c2\u5bdf F1 \u4e0e\u5e73\u5747 Thinking Rounds\u3002<\/p>\n<table>\n<tr>Top-k2WikiMQA F12Wiki \u8f6e\u6570MuSiQue F1MuSiQue \u8f6e\u6570<\/tr>\n<tbody>\n<tr>\n<td align=\"right\">1<\/td>\n<td align=\"right\">51.14<\/td>\n<td align=\"right\">3.43<\/td>\n<td align=\"right\">30.26<\/td>\n<td align=\"right\">3.66<\/td>\n<\/tr>\n<tr>\n<td align=\"right\">2<\/td>\n<td align=\"right\">59.94<\/td>\n<td align=\"right\">3.29<\/td>\n<td align=\"right\">33.54<\/td>\n<td align=\"right\">3.35<\/td>\n<\/tr>\n<tr>\n<td align=\"right\">3<\/td>\n<td align=\"right\">65.95<\/td>\n<td align=\"right\">3.13<\/td>\n<td align=\"right\">41.57<\/td>\n<td align=\"right\">3.37<\/td>\n<\/tr>\n<tr>\n<td align=\"right\">5<\/td>\n<td align=\"right\">67.45<\/td>\n<td align=\"right\">2.99<\/td>\n<td align=\"right\">42.94<\/td>\n<td align=\"right\">3.38<\/td>\n<\/tr>\n<tr>\n<td align=\"right\">10<\/td>\n<td align=\"right\">65.85<\/td>\n<td align=\"right\">3.05<\/td>\n<td align=\"right\">44.05<\/td>\n<td align=\"right\">3.20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>1. 2WikiMQA&#xff1a;\u5b58\u5728\u6700\u4f73\u533a\u95f4<\/h3>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>       k<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u4ece 1 \u589e\u81f3 5 \u65f6&#xff0c;F1 \u63d0\u9ad8\u4e14\u641c\u7d22\u8f6e\u6570\u51cf\u5c11&#xff1b;\u7ee7\u7eed\u589e\u5230 10 \u540e&#xff0c;F1 \u4ece 67.45 \u56de\u843d\u81f3 65.85\u3002\u66f4\u591a\u6587\u6863\u5f00\u59cb\u5f15\u5165\u5197\u4f59&#xff0c;Memory Growth \u4e5f\u4f1a\u88ab\u5e26\u5165\u65e0\u5173\u533a\u57df\u3002<\/p>\n<h3>2. MuSiQue&#xff1a;\u5206\u6563\u8bc1\u636e\u9700\u8981\u66f4\u5927\u68c0\u7d22\u96c6\u5408<\/h3>\n<p>MuSiQue \u7684\u8bc1\u636e\u5206\u6563\u5728\u66f4\u591a Chunk \u4e2d&#xff0c;F1 \u968f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>       k<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u589e\u5927\u6301\u7eed\u63d0\u9ad8&#xff0c;\u5728 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        k<\/p>\n<p>        &#061;<\/p>\n<p>        10<\/p>\n<p>       k&#061;10<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span> \u8fbe\u5230 44.05\u3002\u8bf4\u660e Top-k \u4e0d\u5e94\u88ab\u7406\u89e3\u6210\u8d8a\u5c0f\u8d8a\u80fd\u907f\u514d\u7a00\u91ca&#xff0c;\u5b83\u53d6\u51b3\u4e8e\u8bc1\u636e\u5206\u5e03\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c37ac87.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Figure 3\u3002Memory Dilution \u4e0e Evidence Coverage \u4e4b\u95f4\u5b58\u5728\u6570\u636e\u96c6\u76f8\u5173\u7684\u6743\u8861\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c38fae2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 8\u3002<\/p>\n<h2>\u5341\u4e09\u3001Memory Path \u53ef\u89c6\u5316<\/h2>\n<p>\u8bba\u6587\u4f7f\u7528 UMAP \u5c06\u539f\u59cb\u4e0a\u4e0b\u6587\u3001\u68c0\u7d22\u533a\u57df\u548c\u751f\u6210\u7684 Memory Fragments \u6295\u5f71\u5230\u4f4e\u7ef4\u7a7a\u95f4&#xff0c;\u5e76\u6bd4\u8f83 Search-o1&#xff08;Refined&#xff09;\u4e0e MemSearch-o1\u3002<\/p>\n<h3>1. \u68c0\u7d22\u533a\u57df\u4e0d\u540c\u65f6<\/h3>\n<p>MemSearch-o1 \u751f\u6210\u7684\u67e5\u8be2\u66f4\u63a5\u8fd1\u76ee\u6807&#xff0c;\u68c0\u7d22\u533a\u57df\u4e5f\u66f4\u9760\u8fd1 Ground-truth Answer&#xff1b;Memory Fragments \u8986\u76d6\u8303\u56f4\u66f4\u5e7f&#xff0c;\u6700\u7ec8\u8def\u5f84\u80fd\u8fde\u63a5\u591a\u4e2a\u8bc1\u636e\u533a\u57df\u3002<\/p>\n<h3>2. \u68c0\u7d22\u533a\u57df\u76f8\u540c\u65f6<\/h3>\n<p>\u5373\u4f7f\u4e24\u79cd\u65b9\u6cd5\u68c0\u7d22\u5230\u76f8\u540c\u533a\u57df&#xff0c;Search-o1 \u4ecd\u53ef\u80fd\u8fc7\u5ea6\u7cbe\u70bc&#xff0c;\u53ea\u4fdd\u7559\u5c40\u90e8\u4fe1\u606f&#xff1b;MemSearch-o1 \u901a\u8fc7\u591a\u4e2a Seeds \u5728\u533a\u57df\u5185\u5c55\u5f00\u66f4\u4e30\u5bcc\u7684 Fragment&#xff0c;\u5f97\u5230\u66f4\u5b8c\u6574\u7684\u8bc1\u636e\u8def\u5f84\u3002<\/p>\n<h3>3. \u53ef\u89c6\u5316\u8bc1\u636e\u7684\u8fb9\u754c<\/h3>\n<p>UMAP \u53ea\u80fd\u63d0\u4f9b\u76f4\u89c2\u5c55\u793a&#xff0c;\u4f4e\u7ef4\u6295\u5f71\u4f1a\u626d\u66f2\u9ad8\u7ef4\u8ddd\u79bb\u3002\u5b83\u80fd\u591f\u8bf4\u660e\u6848\u4f8b\u4e2d\u7684\u76f8\u5bf9\u5206\u5e03&#xff0c;\u5374\u4e0d\u80fd\u5355\u72ec\u8bc1\u660e Memory Path \u5728\u6240\u6709\u6837\u672c\u4e0a\u90fd\u66f4\u5408\u7406\u3002\u771f\u6b63\u7684\u6709\u6548\u6027\u4ecd\u5e94\u7531\u4e3b\u5b9e\u9a8c\u548c\u6d88\u878d\u652f\u6301\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c39cc1f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Figure 4\u3002\u5c55\u793a\u68c0\u7d22\u533a\u57df\u4e0d\u540c\u4e0e\u76f8\u540c\u4e24\u79cd\u60c5\u51b5\u4e0b\u7684 UMAP Memory Path\u3002<\/p>\n<h2>\u5341\u56db\u3001\u6548\u7387&#xff1a;\u77ed\u8def\u5f84\u662f\u5426\u771f\u6b63\u51cf\u5c11\u6210\u672c<\/h2>\n<h3>1. \u6700\u7ec8\u751f\u6210 Token \u6570<\/h3>\n<h4>HotpotQA<\/h4>\n<ul>\n<li>Search-o1&#xff08;RAgent&#xff09;&#xff1a;1713.9&#xff1b;<\/li>\n<li>MemoryBank&#xff1a;728.6&#xff1b;<\/li>\n<li>A-Mem&#xff1a;569.2&#xff1b;<\/li>\n<li>Amber&#xff1a;524.4&#xff1b;<\/li>\n<li>Search-o1&#xff08;Refined&#xff09;&#xff1a;312.6&#xff1b;<\/li>\n<li>MemSearch-o1&#xff1a;257.6\u3002<\/li>\n<\/ul>\n<h4>2WikiMQA<\/h4>\n<ul>\n<li>Search-o1&#xff08;RAgent&#xff09;&#xff1a;1603.6&#xff1b;<\/li>\n<li>MemoryBank&#xff1a;930.1&#xff1b;<\/li>\n<li>A-Mem&#xff1a;578.4&#xff1b;<\/li>\n<li>Amber&#xff1a;431.9&#xff1b;<\/li>\n<li>Search-o1&#xff08;Refined&#xff09;&#xff1a;343.1&#xff1b;<\/li>\n<li>MemSearch-o1&#xff1a;299.7\u3002<\/li>\n<\/ul>\n<p>MemSearch-o1 \u7684\u6700\u7ec8\u751f\u6210\u4e0a\u4e0b\u6587\u6700\u77ed\u3002Search-o1&#xff08;Refined&#xff09;\u4e5f\u5f88\u77ed&#xff0c;\u5374\u5728\u4e3b\u5b9e\u9a8c\u4e2d\u8868\u73b0\u6700\u5dee\u4e4b\u4e00&#xff0c;\u8bf4\u660e\u77ed\u5e76\u4e0d\u7b49\u4e8e\u597d\u3002MemSearch-o1 \u7684\u4ef7\u503c\u5728\u4e8e\u7528\u66f4\u5c11 Token \u4fdd\u7559\u66f4\u5b8c\u6574\u7684\u591a\u8df3\u8bc1\u636e&#xff0c;\u800c\u4e0d\u662f\u5355\u7eaf\u8ffd\u6c42\u538b\u7f29\u7387\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c3b2f5f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Figure 5\u3002Figure 5 \u6bd4\u8f83 HotpotQA \u4e0e 2WikiMQA \u4e0a\u7684\u5e73\u5747 Generation Tokens\u3002<\/p>\n<h3>2. \u603b Token \u4e0e\u63a8\u7406\u65f6\u95f4<\/h3>\n<table>\n<tr>\u65b9\u6cd5\u5e73\u5747\u63a8\u7406\u65f6\u95f4&#xff08;\u79d2&#xff09;\u603b Token<\/tr>\n<tbody>\n<tr>\n<td>Search-o1&#xff08;Refined&#xff09;<\/td>\n<td align=\"right\">22.83<\/td>\n<td align=\"right\">2677.6<\/td>\n<\/tr>\n<tr>\n<td>A-Mem<\/td>\n<td align=\"right\">27.07<\/td>\n<td align=\"right\">3185.3<\/td>\n<\/tr>\n<tr>\n<td>MIRIX<\/td>\n<td align=\"right\">32.34<\/td>\n<td align=\"right\">3956.3<\/td>\n<\/tr>\n<tr>\n<td>Zep<\/td>\n<td align=\"right\">28.33<\/td>\n<td align=\"right\">3580.2<\/td>\n<\/tr>\n<tr>\n<td>Amber<\/td>\n<td align=\"right\">20.29<\/td>\n<td align=\"right\">2507.3<\/td>\n<\/tr>\n<tr>\n<td>MemSearch-o1<\/td>\n<td align=\"right\">18.17<\/td>\n<td align=\"right\">2171.9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u76f8\u5bf9 Amber&#xff0c;MemSearch-o1 \u5e73\u5747\u63a8\u7406\u65f6\u95f4\u51cf\u5c11\u7ea6 10.4%&#xff0c;\u603b Token \u51cf\u5c11\u7ea6 13.4%\u3002\u76f8\u5bf9 MIRIX&#xff0c;\u65f6\u95f4\u548c Token \u7684\u51cf\u5c11\u66f4\u660e\u663e\u3002<\/p>\n<p>\u8bba\u6587\u8ba4\u4e3a&#xff0c;\u4f20\u7edf\u65b9\u6cd5\u6bcf\u8f6e\u91cd\u590d\u8bfb\u53d6\u7d2f\u8ba1\u957f\u5ea6\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        D<\/p>\n<p>       D<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><\/span> \u7684 System Memory&#xff0c;\u968f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        N<\/p>\n<p>       N<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u8f6e\u589e\u957f\u5f62\u6210\u7ea6&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         O<\/p>\n<p>         (<\/p>\n<p>          N<\/p>\n<p>          2<\/p>\n<p>         D<\/p>\n<p>         )<\/p>\n<p>         O(N^2D) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>MemSearch-o1 \u6bcf\u8f6e\u53ea\u5904\u7406\u5f53\u524d\u68c0\u7d22\u6587\u6863&#xff0c;\u6700\u7ec8\u518d\u8bfb\u53d6\u77ed\u8def\u5f84&#xff0c;\u56e0\u6b64\u8bba\u6587\u7ed9\u51fa&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         O<\/p>\n<p>         (<\/p>\n<p>         N<\/p>\n<p>         D<\/p>\n<p>         )<\/p>\n<p>         O(ND) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u4e00\u590d\u6742\u5ea6\u662f\u5bf9\u7d2f\u8ba1\u4e0a\u4e0b\u6587\u8bfb\u53d6\u91cf\u7684\u7b80\u5316\u5206\u6790&#xff0c;\u800c\u4e0d\u662f\u5b8c\u6574\u8ba1\u7b97\u6210\u672c\u3002\u5b83\u6ca1\u6709\u663e\u5f0f\u8ba1\u5165 Fragment Generation\u3001Embedding\u3001\u4e24\u4e24\u76f8\u4f3c\u5ea6\u548c Greedy Path Search\u3002\u56e0\u6b64\u53ef\u4ee5\u7528\u6765\u89e3\u91ca\u8d8b\u52bf&#xff0c;\u4f46\u4e0d\u80fd\u89c6\u4e3a\u7aef\u5230\u7aef\u4e25\u683c\u590d\u6742\u5ea6\u8bc1\u660e\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c3c6c0d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 9\u3002Table 9 \u7ed9\u51fa HotpotQA \u4e0a\u7684\u5e73\u5747\u63a8\u7406\u65f6\u95f4\u4e0e\u603b Token&#xff0c;\u652f\u6301 MemSearch-o1 \u7684\u6548\u7387\u4f18\u52bf\u3002<\/p>\n<h2>\u5341\u4e94\u3001\u4e0e\u5176\u4ed6 Memory Management \u7684\u8fdb\u4e00\u6b65\u6bd4\u8f83<\/h2>\n<p>\u9644\u5f55\u5728 Qwen2.5-72B \u4e0a\u52a0\u5165 MIRIX \u4e0e Zep\u3002<\/p>\n<table>\n<tr>\u65b9\u6cd5\u516b\u4efb\u52a1\u5e73\u5747\u5206<\/tr>\n<tbody>\n<tr>\n<td>Search-o1&#xff08;Refined&#xff09;<\/td>\n<td align=\"right\">31.63<\/td>\n<\/tr>\n<tr>\n<td>MemoryBank<\/td>\n<td align=\"right\">32.26<\/td>\n<\/tr>\n<tr>\n<td>MIRIX<\/td>\n<td align=\"right\">36.69<\/td>\n<\/tr>\n<tr>\n<td>Zep<\/td>\n<td align=\"right\">36.58<\/td>\n<\/tr>\n<tr>\n<td>MemSearch-o1<\/td>\n<td align=\"right\">45.53<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>MemSearch-o1 \u4e0d\u4ec5\u8d85\u8fc7\u6458\u8981\u548c\u8fc7\u6ee4\u65b9\u6cd5&#xff0c;\u4e5f\u8d85\u8fc7\u5f3a\u8c03\u591a Agent Memory Management \u7684 MIRIX \u4e0e\u5b9e\u4f53\u5173\u7cfb\u56fe\u5f0f\u8bb0\u5fc6 Zep\u3002<\/p>\n<p>\u4f46\u8fd9\u91cc\u6bd4\u8f83\u7684\u662f\u628a\u8fd9\u4e9b\u65b9\u6cd5\u63a5\u5165\u4f5c\u8005\u8bbe\u7f6e\u540e\u7684 Agentic Search \u6548\u679c&#xff0c;\u4e0d\u7b49\u4e8e\u5bf9\u5404\u7cfb\u7edf\u539f\u59cb\u76ee\u6807\u7684\u5168\u9762\u8bc4\u4ef7\u3002\u4f8b\u5982 MIRIX \u8bbe\u8ba1\u76ee\u6807\u5305\u542b\u66f4\u5e7f\u6cdb\u7684\u591a\u6a21\u6001\u3001\u591a Agent \u957f\u671f\u8bb0\u5fc6&#xff0c;\u800c\u672c\u6587\u53ea\u8bc4\u4f30\u95ee\u7b54\u641c\u7d22\u8def\u5f84\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c3d3e39.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 7\u3002Table 7 \u6bd4\u8f83 Search-o1\u3001MemoryBank\u3001MIRIX\u3001Zep \u4e0e MemSearch-o1&#xff0c;\u652f\u6301 Seed-Growth-Path \u673a\u5236\u5728\u672c\u6587 Deep Search \u8bbe\u7f6e\u4e0b\u66f4\u6709\u6548\u3002<\/p>\n<h2>\u5341\u516d\u3001\u8d85\u53c2\u6570\u7a33\u5b9a\u6027<\/h2>\n<p>\u8bba\u6587\u5728 MuSiQue \u4e0e MultiFieldQA-zh \u4e0a\u6539\u53d8 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03b1<\/p>\n<p>        ,<\/p>\n<p>        \u03b2<\/p>\n<p>        ,<\/p>\n<p>        K<\/p>\n<p>        ,<\/p>\n<p>        \u03c4<\/p>\n<p>        ,<\/p>\n<p>        \u03bb<\/p>\n<p>       \\\\alpha,\\\\beta,K,\\\\tau,\\\\lambda<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0528em\">\u03b2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">K<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">\u03bb<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u51e0\u7ec4\u8bbe\u7f6e\u7684\u7ed3\u679c\u90fd\u4fdd\u6301\u5728&#xff1a;<\/p>\n<ul>\n<li>MuSiQue&#xff1a;43.23\u201343.84&#xff1b;<\/li>\n<li>MultiFieldQA-zh&#xff1a;58.55\u201359.54\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u8bf4\u660e\u5408\u7406\u8303\u56f4\u5185\u7684\u53c2\u6570\u53d8\u5316\u6ca1\u6709\u9020\u6210\u5267\u70c8\u6ce2\u52a8&#xff0c;\u9ed8\u8ba4\u53c2\u6570\u4e0d\u662f\u53ea\u4e3a\u67d0\u4e00\u4e2a\u6570\u636e\u96c6\u7cbe\u8c03\u3002<\/p>\n<p>\u4e0d\u8fc7 Table 10 \u53ea\u5c55\u793a\u56db\u7ec4\u7ec4\u5408\u53d8\u5316&#xff0c;\u4e14\u4e00\u6b21\u540c\u65f6\u6216\u5206\u522b\u6539\u53d8\u90e8\u5206\u53c2\u6570&#xff0c;\u5e76\u975e\u5b8c\u6574\u5355\u53d8\u91cf\u7f51\u683c\u641c\u7d22\u3002\u5b83\u80fd\u8bc1\u660e\u5c40\u90e8\u7a33\u5065\u6027&#xff0c;\u4e0d\u80fd\u63a8\u51fa\u6240\u6709\u9608\u503c\u8303\u56f4\u90fd\u7a33\u5b9a\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260901160107-6a96f6c3f2167.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8bba\u6587 Table 10\u3002Table 10 \u5c55\u793a\u8d21\u732e\u6743\u91cd\u3001\u8def\u5f84\u957f\u5ea6\u3001\u9608\u503c\u4e0e\u5e73\u6ed1\u7cfb\u6570\u7684\u82e5\u5e72\u66ff\u4ee3\u8bbe\u7f6e\u3002<\/p>\n<h2>\u5341\u4e03\u3001\u4e0e Agent Memory \u7cfb\u5217\u65b9\u6cd5\u6a2a\u5411\u6bd4\u8f83<\/h2>\n<p>\u4ee5\u4e0b\u6bd4\u8f83\u662f\u6839\u636e\u5404\u65b9\u6cd5\u7684\u4e3b\u8981\u8bbe\u8ba1\u76ee\u6807\u505a\u51fa\u7684\u5f52\u7eb3&#xff0c;\u5e76\u975e MemSearch-o1 \u8bba\u6587\u5b8c\u6210\u4e86\u5168\u90e8\u76f4\u63a5\u5b9e\u9a8c\u3002<\/p>\n<table>\n<tr>\u65b9\u6cd5\u4e3b\u8981\u8bb0\u5fc6\u5bf9\u8c61\u7ec4\u7ec7\u65b9\u5f0f\u89e3\u51b3\u7684\u4e3b\u8981\u95ee\u9898\u4e0e MemSearch-o1 \u7684\u533a\u522b<\/tr>\n<tbody>\n<tr>\n<td>A-MEM<\/td>\n<td>Agent \u5386\u53f2\u8bb0\u5fc6\u4e0e\u7b14\u8bb0<\/td>\n<td>\u52a8\u6001\u94fe\u63a5\u7684\u8bb0\u5fc6\u7f51\u7edc<\/td>\n<td>\u8bb0\u5fc6\u5173\u8054\u4e0e\u6f14\u5316<\/td>\n<td>MemSearch-o1 \u805a\u7126\u5355\u6b21 Deep Search \u5de5\u4f5c\u8bb0\u5fc6&#xff0c;\u6309 Seed \u751f\u957f\u5e76\u91cd\u6392\u8def\u5f84<\/td>\n<\/tr>\n<tr>\n<td>MAGMA<\/td>\n<td>\u591a\u79cd\u5173\u7cfb\u4e0b\u7684\u957f\u671f\u8bb0\u5fc6<\/td>\n<td>\u591a\u56fe\u7ed3\u6784<\/td>\n<td>\u5355\u4e00\u5173\u7cfb\u96be\u4ee5\u8868\u8fbe\u590d\u6742\u8054\u7cfb<\/td>\n<td>MemSearch-o1 \u4e0d\u663e\u5f0f\u5efa\u591a\u56fe&#xff0c;\u800c\u6784\u9020\u77ed\u8bc1\u636e\u5e8f\u5217<\/td>\n<\/tr>\n<tr>\n<td>CoM<\/td>\n<td>\u7ecf\u5386\u53ca\u5176\u5de9\u56fa\u7ed3\u679c<\/td>\n<td>\u5f62\u6210\u3001\u5de9\u56fa\u3001\u8c03\u7528\u6d41\u7a0b<\/td>\n<td>\u957f\u671f\u8bb0\u5fc6\u5982\u4f55\u7a33\u5b9a\u5f62\u6210<\/td>\n<td>MemSearch-o1 \u66f4\u5173\u6ce8\u641c\u7d22\u8fc7\u7a0b\u4e2d\u5373\u65f6\u5f62\u6210\u7684\u63a8\u7406\u8bc1\u636e<\/td>\n<\/tr>\n<tr>\n<td>ReMemR1<\/td>\n<td>\u53ef\u56de\u8bbf\u7684\u5386\u53f2\u8bb0\u5fc6<\/td>\n<td>Callback Retrieval<\/td>\n<td>\u5199\u5165\u65f6\u7684\u4fe1\u606f\u635f\u5931<\/td>\n<td>MemSearch-o1 \u5728\u641c\u7d22\u7ed3\u675f\u540e\u5168\u5c40 Retrace&#xff0c;\u4f46\u4e0d\u4e3b\u52a8\u56de\u67e5\u88ab\u4e22\u5f03\u7684\u539f\u59cb\u5386\u53f2<\/td>\n<\/tr>\n<tr>\n<td>Mem\u00b2Evolve<\/td>\n<td>\u8bb0\u5fc6\u4e0e\u5143\u8bb0\u5fc6<\/td>\n<td>\u53cc\u5c42\u6f14\u5316\u673a\u5236<\/td>\n<td>\u8bb0\u5fc6\u7b56\u7565\u5982\u4f55\u81ea\u6211\u6539\u8fdb<\/td>\n<td>MemSearch-o1 \u53c2\u6570\u548c\u64cd\u4f5c\u89c4\u5219\u56fa\u5b9a&#xff0c;\u6ca1\u6709\u5b66\u4e60 Memory Growth \u7b56\u7565<\/td>\n<\/tr>\n<tr>\n<td>MemSearch-o1<\/td>\n<td>\u67e5\u8be2 Seeds\u3001\u8bc1\u636e Fragments\u3001Memory Path<\/td>\n<td>Token \u2192 Fragment \u2192 Path<\/td>\n<td>Deep Search Memory Dilution<\/td>\n<td>\u8ba9\u5de5\u4f5c\u8bb0\u5fc6\u56f4\u7ed5\u63a8\u7406\u67e5\u8be2\u751f\u957f&#xff0c;\u5e76\u91cd\u65b0\u5bf9\u9f50\u539f\u95ee\u9898<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>1. \u4e0e A-MEM \u7684\u5173\u7cfb<\/h3>\n<p>\u8bba\u6587\u4e3b\u5b9e\u9a8c\u76f4\u63a5\u6bd4\u8f83\u4e86 A-Mem&#xff0c;\u4f46\u8fd9\u91cc\u8981\u6ce8\u610f\u547d\u540d\u4e0e\u7cfb\u5217\u8bed\u5883&#xff1a;\u5b9e\u9a8c\u4e2d\u7684 A-Mem \u88ab\u63a5\u5165 Search-o1&#xff0c;\u5bf9\u68c0\u7d22\u6587\u6863\u751f\u6210 Note \u5e76\u5efa\u7acb\u94fe\u63a5\u3002\u5b83\u539f\u672c\u66f4\u5f3a\u8c03\u957f\u671f Agentic Memory \u7684\u7ec4\u7ec7&#xff0c;\u4e0d\u4e00\u5b9a\u4e13\u95e8\u4e3a\u591a\u8f6e Deep Search \u7684\u77ed\u671f\u5de5\u4f5c\u8bb0\u5fc6\u8bbe\u8ba1\u3002<\/p>\n<p>MemSearch-o1 \u7684\u4f18\u52bf\u6765\u81ea\u4efb\u52a1\u8d34\u5408&#xff1a;\u5b83\u77e5\u9053\u8bb0\u5fc6\u4f1a\u968f\u641c\u7d22\u67e5\u8be2\u9010\u8f6e\u4ea7\u751f&#xff0c;\u56e0\u6b64\u5728\u751f\u6210\u65f6\u5c31\u52a0\u5165 Seed \u7ea6\u675f&#xff0c;\u5e76\u5728\u7ed3\u675f\u540e\u56f4\u7ed5\u539f\u95ee\u9898\u56de\u6eaf\u3002<\/p>\n<h3>2. \u4e0e MAGMA \u7684\u5173\u7cfb<\/h3>\n<p>MAGMA \u901a\u8fc7\u591a\u79cd\u56fe\u5173\u7cfb\u4fdd\u5b58\u4e0d\u540c\u7ef4\u5ea6\u8054\u7cfb&#xff0c;\u8868\u8fbe\u529b\u66f4\u5f3a&#xff1b;MemSearch-o1 \u53ea\u7528\u76f8\u4f3c\u5ea6\u4e0e\u987a\u5e8f\u6784\u9020\u4e00\u6761\u8def\u5f84&#xff0c;\u7ed3\u6784\u66f4\u8f7b\u3002\u5bf9\u4e8e\u9700\u8981\u660e\u786e\u56e0\u679c\u3001\u65f6\u95f4\u6216\u5b9e\u4f53\u5173\u7cfb\u7684\u4efb\u52a1&#xff0c;\u591a\u56fe\u53ef\u80fd\u66f4\u9002\u5408&#xff1b;\u5bf9\u4e8e\u6bcf\u6b21\u90fd\u8981\u5feb\u901f\u5f62\u6210\u77ed\u63a8\u7406\u4e0a\u4e0b\u6587\u7684 Deep Search&#xff0c;\u8def\u5f84\u66f4\u5bb9\u6613\u76f4\u63a5\u63d0\u4f9b\u7ed9 LLM\u3002<\/p>\n<h3>3. \u4e0e ReMemR1 \u7684\u5173\u7cfb<\/h3>\n<p>\u4e24\u8005\u90fd\u4e0d\u76f8\u4fe1\u4e00\u6b21\u7cbe\u70bc\u5c31\u80fd\u4fdd\u7559\u5168\u90e8\u91cd\u8981\u4fe1\u606f\u3002ReMemR1 \u901a\u8fc7 Callback \u4e3b\u52a8\u56de\u8bbf\u5386\u53f2&#xff0c;\u8865\u6551\u5df2\u7ecf\u9057\u6f0f\u7684\u4fe1\u606f&#xff1b;MemSearch-o1 \u901a\u8fc7\u591a\u4e2a Token Seeds \u5728\u4e00\u5f00\u59cb\u63d0\u9ad8\u62bd\u53d6\u8986\u76d6&#xff0c;\u5e76\u5728\u7ed3\u675f\u540e\u5bf9\u5df2\u751f\u6210 Fragments \u8fdb\u884c Retracing\u3002<\/p>\n<p>\u5b83\u7684\u8fb9\u754c\u4e5f\u7531\u6b64\u4ea7\u751f&#xff1a;\u5982\u679c Fragment Growth \u9636\u6bb5\u5df2\u7ecf\u6f0f\u6389\u8bc1\u636e&#xff0c;Retracing \u53ea\u80fd\u91cd\u65b0\u6392\u5217\u73b0\u6709\u7247\u6bb5&#xff0c;\u65e0\u6cd5\u56de\u5230\u539f\u6587\u8865\u53d6\u3002\u5c06 Callback \u52a0\u5165 Retracing \u662f\u4e00\u4e2a\u81ea\u7136\u6269\u5c55\u65b9\u5411\u3002<\/p>\n<h2>\u5341\u516b\u3001\u5bf9 Coding Agent \u7684\u542f\u53d1<\/h2>\n<p>\u4ee5\u4e0b\u5185\u5bb9\u662f\u57fa\u4e8e\u8bba\u6587\u673a\u5236\u7684\u5de5\u7a0b\u63a8\u6f14&#xff0c;\u4e0d\u662f\u539f\u8bba\u6587\u5b9e\u9a8c\u3002<\/p>\n<h3>1. \u5c06 Coding Query \u62c6\u6210\u7ed3\u6784\u5316 Seeds<\/h3>\n<p>\u9762\u5bf9\u201c\u4fee\u590d\u7528\u6237\u767b\u51fa\u540e\u5237\u65b0\u9875\u9762\u4ecd\u663e\u793a\u65e7\u5934\u50cf\u201d\u7684\u4efb\u52a1&#xff0c;\u53ef\u4ee5\u62bd\u53d6&#xff1a;<\/p>\n<ul>\n<li>Subjects&#xff1a;\u7528\u6237\u3001\u5934\u50cf\u3001\u7f13\u5b58\u3001\u4f1a\u8bdd&#xff1b;<\/li>\n<li>Actions&#xff1a;\u767b\u51fa\u3001\u5237\u65b0\u3001\u6e05\u9664\u3001\u8bfb\u53d6&#xff1b;<\/li>\n<li>Degree\/State&#xff1a;\u65e7\u3001\u4ecd\u7136&#xff1b;<\/li>\n<li>Temporal&#xff1a;\u767b\u51fa\u540e\u3001\u5237\u65b0\u65f6\u3002<\/li>\n<\/ul>\n<p>Agent \u53ef\u4ee5\u56f4\u7ed5\u8fd9\u4e9b Seeds \u4ece\u4ee3\u7801\u3001\u65e5\u5fd7\u548c\u6d4b\u8bd5\u4e2d\u751f\u957f\u8bc1\u636e&#xff0c;\u800c\u4e0d\u662f\u53ea\u6309\u6574\u53e5\u9700\u6c42\u641c\u7d22\u4e00\u6b21\u3002<\/p>\n<h3>2. \u4ece\u8c03\u67e5\u7247\u6bb5\u91cd\u7ec4 Root-Cause Path<\/h3>\n<p>Coding Agent \u7684 Fragment \u53ef\u4ee5\u662f&#xff1a;<\/p>\n<ul>\n<li>\u67d0\u51fd\u6570\u8bfb\u53d6\u672c\u5730\u7f13\u5b58&#xff1b;<\/li>\n<li>\u767b\u51fa\u6d41\u7a0b\u53ea\u6e05\u7406 Cookie&#xff1b;<\/li>\n<li>UI Store \u6ca1\u6709\u91cd\u7f6e\u5934\u50cf&#xff1b;<\/li>\n<li>\u5931\u8d25\u6d4b\u8bd5\u8868\u660e\u5237\u65b0\u540e\u91cd\u65b0 hydrate \u65e7\u72b6\u6001\u3002<\/li>\n<\/ul>\n<p>Retracing \u53ef\u4ee5\u628a\u8fd9\u4e9b\u7247\u6bb5\u6309\u56e0\u679c\u987a\u5e8f\u7ec4\u7ec7\u6210&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         Logout\u672a\u6e05Store<\/p>\n<p>         \u2192<\/p>\n<p>         Refresh\u89e6\u53d1Hydrate<\/p>\n<p>         \u2192<\/p>\n<p>         \u8bfb\u53d6\u65e7Avatar<\/p>\n<p>         \u2192<\/p>\n<p>         UI\u9519\u8bef<\/p>\n<p>         \\\\text{Logout\u672a\u6e05Store}\\\\rightarrow\\\\text{Refresh\u89e6\u53d1Hydrate}\\\\rightarrow\\\\text{\u8bfb\u53d6\u65e7Avatar}\\\\rightarrow\\\\text{UI\u9519\u8bef} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8778em;vertical-align: -0.1944em\"><\/span><span class=\"mord text\"><span class=\"mord\">Logout<\/span><span class=\"mord cjk_fallback\">\u672a\u6e05<\/span><span class=\"mord\">Store<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord text\"><span class=\"mord\">Refresh<\/span><span class=\"mord cjk_fallback\">\u89e6\u53d1<\/span><span class=\"mord\">Hydrate<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u8bfb\u53d6\u65e7<\/span><span class=\"mord\">Avatar<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord\">UI<\/span><span class=\"mord cjk_fallback\">\u9519\u8bef<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u8fd9\u6bd4\u5411\u6a21\u578b\u91cd\u65b0\u8f93\u5165\u5168\u90e8\u641c\u7d22\u65e5\u5fd7\u548c\u51e0\u5341\u4e2a\u6587\u4ef6\u66f4\u9002\u5408\u751f\u6210\u4fee\u590d\u65b9\u6848\u3002<\/p>\n<h3>3. \u9700\u8981\u7528\u7a0b\u5e8f\u4f9d\u8d56\u66ff\u4ee3\u7eaf\u8bed\u4e49\u76f8\u4f3c\u5ea6<\/h3>\n<p>\u4ee3\u7801\u8bc1\u636e\u7684\u6865\u63a5\u5173\u7cfb\u4e0d\u5e94\u53ea\u9760 Embedding\u3002\u8c03\u7528\u5173\u7cfb\u3001\u6570\u636e\u6d41\u3001Import\u3001\u6d4b\u8bd5\u8986\u76d6\u548c Git \u5386\u53f2\u5f80\u5f80\u6bd4\u81ea\u7136\u8bed\u8a00\u76f8\u4f3c\u5ea6\u66f4\u53ef\u9760\u3002\u5de5\u7a0b\u5b9e\u73b0\u5e94\u628a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>          B<\/p>\n<p>          P<\/p>\n<p>       C_{BP}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6269\u5c55\u4e3a\u8bed\u4e49\u4e0e\u9759\u6001\u5206\u6790\u7684\u7ec4\u5408\u3002<\/p>\n<h2>\u5341\u4e5d\u3001\u5bf9 Tool Agent \u4e0e Multi-Agent \u7684\u542f\u53d1<\/h2>\n<h3>1. Tool Agent&#xff1a;\u56f4\u7ed5\u53c2\u6570\u4e0e\u7ea6\u675f\u751f\u957f\u8bb0\u5fc6<\/h3>\n<p>Tool Query \u53ef\u4ee5\u62c6\u6210\u5bf9\u8c61\u3001\u52a8\u4f5c\u3001\u65f6\u95f4\u3001\u8303\u56f4\u7b49 Seeds\u3002\u6bcf\u6b21\u5de5\u5177\u8fd4\u56de\u7684\u5927\u6bb5 JSON \u4e0d\u5fc5\u5b8c\u6574\u79ef\u7d2f&#xff0c;\u7cfb\u7edf\u53ea\u62bd\u53d6\u4e0e\u5f53\u524d Seeds \u5bf9\u5e94\u7684\u5b57\u6bb5&#xff0c;\u518d\u6784\u9020\u80fd\u591f\u652f\u6301\u6700\u7ec8\u64cd\u4f5c\u7684\u77ed\u8def\u5f84\u3002<\/p>\n<h3>2. Multi-Agent&#xff1a;Fragment \u4f5c\u4e3a\u5171\u4eab\u4e2d\u95f4\u8bed\u8a00<\/h3>\n<p>\u68c0\u7d22 Agent\u3001\u5206\u6790 Agent \u548c\u6267\u884c Agent \u53ef\u4ee5\u5206\u522b\u4ea7\u751f\u5e26\u6765\u6e90\u7684 Fragments&#xff0c;\u518d\u7531\u534f\u8c03 Agent \u7edf\u4e00 Retrace\u3002\u76f8\u6bd4\u5171\u4eab\u6240\u6709\u5bf9\u8bdd\u5386\u53f2&#xff0c;\u7247\u6bb5\u8def\u5f84\u66f4\u77ed&#xff0c;\u4e5f\u66f4\u5bb9\u6613\u8ffd\u8e2a\u6bcf\u6761\u7ed3\u8bba\u6765\u81ea\u54ea\u4e2a Agent \u548c\u5de5\u5177\u3002<\/p>\n<h3>3. \u5fc5\u987b\u589e\u52a0 Provenance<\/h3>\n<p>\u8bba\u6587\u7684 Fragment \u4e3b\u8981\u4fdd\u5b58\u6587\u672c\u5185\u5bb9&#xff0c;\u6ca1\u6709\u5728\u516c\u5f0f\u4e2d\u91cd\u70b9\u5efa\u6a21\u6765\u6e90\u53ef\u4fe1\u5ea6\u3002\u771f\u5b9e Tool\/Multi-Agent \u7cfb\u7edf\u8fd8\u9700\u8981\u8bb0\u5f55&#xff1a;<\/p>\n<ul>\n<li>\u6765\u6e90\u6587\u6863\u6216\u5de5\u5177&#xff1b;<\/li>\n<li>\u65f6\u95f4\u6233&#xff1b;<\/li>\n<li>Agent \u8eab\u4efd&#xff1b;<\/li>\n<li>\u9a8c\u8bc1\u72b6\u6001&#xff1b;<\/li>\n<li>\u662f\u5426\u4e0e\u5176\u4ed6\u7247\u6bb5\u51b2\u7a81\u3002<\/li>\n<\/ul>\n<p>\u5426\u5219\u4e00\u6761\u8bed\u4e49\u8fde\u8d2f\u7684 Memory Path \u4ecd\u53ef\u80fd\u7531\u4e0d\u53ef\u9760\u8bc1\u636e\u7ec4\u6210\u3002<\/p>\n<h2>\u4e8c\u5341\u3001\u5c40\u9650\u6027<\/h2>\n<h3>1. \u4f9d\u8d56\u5f3a\u63a8\u7406\u6a21\u578b<\/h3>\n<p>\u8bba\u6587\u660e\u786e\u6307\u51fa&#xff0c;3B \u4ee5\u4e0b\u6a21\u578b\u96be\u4ee5\u9075\u5faa\u641c\u7d22\u4e0e Memory Growth \u6307\u4ee4\u3002\u65b9\u6cd5\u4e0d\u662f\u8f7b\u91cf\u6a21\u578b\u7684\u66ff\u4ee3\u63a8\u7406\u5668&#xff0c;\u800c\u662f\u5f3a\u6a21\u578b\u7684\u8bb0\u5fc6\u653e\u5927\u5668\u3002<\/p>\n<h3>2. Seeds \u4e3b\u8981\u4f9d\u8d56\u6d45\u5c42\u8bcd\u6027<\/h3>\n<p>\u4e3b\u4f53\u3001\u52a8\u4f5c\u3001\u7a0b\u5ea6\u548c\u65f6\u95f4\u662f\u6709\u7528\u951a\u70b9&#xff0c;\u5374\u4e0d\u8db3\u4ee5\u5b8c\u6574\u8868\u8fbe\u5426\u5b9a\u3001\u56e0\u679c\u3001\u6bd4\u8f83\u3001\u6761\u4ef6\u548c\u9690\u542b\u5b9e\u4f53\u3002\u590d\u6742\u8bed\u4e49\u53ef\u80fd\u5728\u5207\u5206\u65f6\u4e22\u5931\u3002<\/p>\n<h3>3. Fragment Growth \u4ecd\u53ef\u80fd\u9057\u6f0f\u6216\u5e7b\u89c9<\/h3>\n<p>Prompt \u8981\u6c42\u62bd\u53d6\u539f\u6587&#xff0c;\u4f46 LLM \u4ecd\u53ef\u80fd\u6f0f\u6389\u8bc1\u636e\u3001\u5f52\u7c7b\u9519\u8bef\u6216\u751f\u6210\u6539\u5199\u5185\u5bb9\u3002\u4e00\u65e6\u8bc1\u636e\u6ca1\u6709\u8fdb\u5165 Fragment \u96c6\u5408&#xff0c;\u540e\u7eed Retracing \u65e0\u6cd5\u6062\u590d\u3002<\/p>\n<h3>4. Contribution Function \u5b58\u5728\u7b26\u53f7\u6b67\u4e49<\/h3>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         C<\/p>\n<p>          B<\/p>\n<p>          P<\/p>\n<p>       C_{BP}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0715em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2d\u6700\u5927\u76f8\u5173\u6027\u6743\u91cd\u53ef\u80fd\u5728\u5f52\u4e00\u5316\u65f6\u62b5\u6d88&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03bc<\/p>\n<p>       \\\\mu<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><\/span> \u7684\u6307\u6570\u5f62\u5f0f\u6309\u5b57\u9762\u53ef\u80fd\u5956\u52b1\u4e0d\u76f8\u4f3c\u7247\u6bb5\u3002\u8fd9\u4e9b\u5e76\u4e0d\u5426\u5b9a\u5b9e\u9a8c\u7ed3\u679c&#xff0c;\u4f46\u964d\u4f4e\u4e86\u4ec5\u51ed\u8bba\u6587\u516c\u5f0f\u590d\u73b0\u7b97\u6cd5\u7684\u786e\u5b9a\u6027&#xff0c;\u9700\u8981\u5bf9\u7167\u5b98\u65b9\u4ee3\u7801\u3002<\/p>\n<h3>5. Greedy Search \u4e0d\u4fdd\u8bc1\u5168\u5c40\u6700\u4f18<\/h3>\n<p>\u8bba\u6587\u79f0\u5bfb\u627e Optimal Memory Path&#xff0c;\u4f46\u5b9e\u9645\u4f7f\u7528 Greedy Search\u3002\u5b83\u8ba1\u7b97\u4fbf\u5b9c&#xff0c;\u5374\u53ef\u80fd\u88ab\u65e9\u671f\u9ad8\u5206\u7247\u6bb5\u9501\u5b9a&#xff0c;\u9519\u8fc7\u540e\u7eed\u6574\u4f53\u66f4\u8fde\u8d2f\u7684\u7ec4\u5408\u3002<\/p>\n<h3>6. \u7f3a\u5c11\u7ec6\u7c92\u5ea6\u7ec4\u4ef6\u6d88\u878d<\/h3>\n<p>\u8bba\u6587\u6ca1\u6709\u5206\u522b\u9a8c\u8bc1 POS Seed\u3001Bridge Potential\u3001Original-query Relevance \u4e0e Smoothness Penalty\u3002\u73b0\u6709\u6d88\u878d\u53ea\u80fd\u8bc1\u660e\u4e24\u4e2a\u5927\u9636\u6bb5\u6709\u6548&#xff0c;\u4e0d\u80fd\u5b8c\u5168\u652f\u6301\u6bcf\u4e2a\u8bbe\u8ba1\u9009\u62e9\u3002<\/p>\n<h3>7. QA \u4efb\u52a1\u4ecd\u4e0d\u7b49\u4e8e\u5f00\u653e\u5f0f Deep Research<\/h3>\n<p>\u5b9e\u9a8c\u8bed\u6599\u6765\u81ea\u56fa\u5b9a\u6570\u636e\u96c6&#xff0c;Search \u662f\u5bf9\u7ed9\u5b9a Corpus \u7684\u68c0\u7d22\u3002\u771f\u5b9e\u7f51\u7edc\u641c\u7d22\u8fd8\u5305\u542b\u7f51\u9875\u8d28\u91cf\u3001\u65f6\u6548\u6027\u3001\u6765\u6e90\u51b2\u7a81\u3001\u8bbf\u95ee\u5931\u8d25\u548c\u52a8\u6001\u9875\u9762\u7b49\u95ee\u9898\u3002<\/p>\n<h3>8. \u8def\u5f84\u8fde\u8d2f\u4e0d\u7b49\u4e8e\u4e8b\u5b9e\u6b63\u786e<\/h3>\n<p>Embedding \u76f8\u4f3c\u7684\u76f8\u90bb\u7247\u6bb5\u53ef\u80fd\u8bed\u4e49\u6d41\u7545&#xff0c;\u5374\u4e92\u76f8\u77db\u76fe&#xff1b;\u4e00\u4e2a\u9ad8\u76f8\u5173 Fragment \u4e5f\u53ef\u80fd\u6765\u81ea\u9519\u8bef\u6765\u6e90\u3002\u7cfb\u7edf\u7f3a\u5c11\u663e\u5f0f\u7684\u4e8b\u5b9e\u9a8c\u8bc1\u548c\u51b2\u7a81\u6d88\u89e3\u3002<\/p>\n<h3>9. \u7edf\u8ba1\u62a5\u544a\u4ecd\u4e0d\u5b8c\u6574<\/h3>\n<p>\u4e3b\u8868\u4f7f\u7528\u591a\u6b21\u8fd0\u884c\u4e0e\u663e\u8457\u6027\u68c0\u9a8c&#xff0c;\u8fd9\u662f\u4f18\u70b9&#xff1b;\u4f46\u8bba\u6587\u6ca1\u6709\u6e05\u6670\u62a5\u544a\u6bcf\u4e2a\u914d\u7f6e\u7684\u91cd\u590d\u6b21\u6570\u3001\u65b9\u5dee\u6216\u7f6e\u4fe1\u533a\u95f4&#xff0c;\u8bfb\u8005\u96be\u4ee5\u5224\u65ad LLM \u968f\u673a\u6027\u7684\u5177\u4f53\u8303\u56f4\u3002<\/p>\n<h2>\u4e8c\u5341\u4e00\u3001\u6211\u7684\u7406\u89e3\u4e0e\u542f\u53d1<\/h2>\n<h3>1. MemSearch-o1 \u7684\u6838\u5fc3\u4e0d\u662f Compression&#xff0c;\u800c\u662f Reconstruction<\/h3>\n<p>\u6458\u8981\u5f0f\u65b9\u6cd5\u95ee\u7684\u662f&#xff1a;\u201c\u8fd9\u6bb5\u5386\u53f2\u5e94\u8be5\u7f29\u6210\u4ec0\u4e48&#xff1f;\u201d<\/p>\n<p>MemSearch-o1 \u95ee\u7684\u662f&#xff1a;\u201c\u4e3a\u4e86\u56de\u7b54\u539f\u95ee\u9898&#xff0c;\u54ea\u4e9b\u5c40\u90e8\u8bc1\u636e\u5e94\u8be5\u91cd\u65b0\u7ec4\u6210\u4e00\u6761\u8def\u5f84&#xff1f;\u201d<\/p>\n<p>\u4e8c\u8005\u7684\u76ee\u6807\u4e0d\u540c\u3002Compression \u8ffd\u6c42\u66f4\u77ed&#xff0c;Reconstruction \u8ffd\u6c42\u8bc1\u636e\u7ed3\u6784\u3002Figure 5 \u4e2d Search-o1&#xff08;Refined&#xff09;\u5df2\u7ecf\u5f88\u77ed&#xff0c;\u5374\u51c6\u786e\u7387\u5f88\u5dee&#xff0c;\u6b63\u597d\u8bc1\u660e\u201c\u77ed\u8bb0\u5fc6\u201d\u4e0d\u662f\u6700\u7ec8\u76ee\u6807\u3002<\/p>\n<h3>2. \u8bb0\u5fc6\u5199\u5165\u4e0e\u8bb0\u5fc6\u8bfb\u53d6\u5fc5\u987b\u5171\u540c\u8bbe\u8ba1<\/h3>\n<p>Growth \u51b3\u5b9a\u8bb0\u5fc6\u4ee5\u4ec0\u4e48\u7c92\u5ea6\u5199\u5165&#xff0c;Retracing \u51b3\u5b9a\u6700\u7ec8\u6309\u4ec0\u4e48\u903b\u8f91\u8bfb\u53d6\u3002\u53ea\u4f18\u5316\u5199\u5165\u4f1a\u79ef\u7d2f\u5927\u91cf Fragments&#xff0c;\u53ea\u4f18\u5316\u8bfb\u53d6\u53c8\u65e0\u6cd5\u627e\u56de\u4ece\u672a\u88ab\u4fdd\u5b58\u7684\u8bc1\u636e\u3002<\/p>\n<p>\u8fd9\u4e0e Agent Memory \u7cfb\u5217\u7684\u603b\u4f53\u8d8b\u52bf\u4e00\u81f4&#xff1a;Memory \u4e0d\u518d\u662f\u4e00\u4e2a\u72ec\u7acb\u6570\u636e\u5e93&#xff0c;\u800c\u662f\u8d2f\u7a7f\u5f62\u6210\u3001\u7ec4\u7ec7\u3001\u68c0\u7d22\u548c\u884c\u52a8\u7684\u5b8c\u6574\u8fc7\u7a0b\u3002<\/p>\n<h3>3. \u539f\u95ee\u9898\u4e0e\u4e2d\u95f4\u67e5\u8be2\u627f\u62c5\u4e0d\u540c\u89d2\u8272<\/h3>\n<p>\u4e2d\u95f4\u67e5\u8be2\u9002\u5408\u6307\u5bfc\u5c40\u90e8\u63a2\u7d22&#xff0c;\u539f\u95ee\u9898\u9002\u5408\u7ea6\u675f\u5168\u5c40\u76ee\u6807\u3002MemSearch-o1 \u5728 Growth \u65f6\u4f7f\u7528 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         q<\/p>\n<p>          (<\/p>\n<p>          n<\/p>\n<p>          )<\/p>\n<p>       q^{(n)}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0824em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.888em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5728 Retracing \u65f6\u91cd\u65b0\u4f7f\u7528 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         q<\/p>\n<p>         o<\/p>\n<p>       q_o<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">o<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f62\u6210\u5c40\u90e8\u4e0e\u5168\u5c40\u53cc\u91cd\u5bf9\u9f50\u3002<\/p>\n<p>\u8fd9\u662f\u4e00\u4e2a\u5f88\u6709\u666e\u9002\u6027\u7684\u8bbe\u8ba1&#xff1a;Agent \u53ef\u4ee5\u5728\u6267\u884c\u4e2d\u4e0d\u65ad\u6539\u53d8\u5b50\u76ee\u6807&#xff0c;\u4f46\u6700\u7ec8\u8bb0\u5fc6\u6574\u7406\u5fc5\u987b\u56de\u5230\u7528\u6237\u6700\u521d\u8981\u89e3\u51b3\u7684\u95ee\u9898\u3002<\/p>\n<h3>4. Bridge Evidence \u5e94\u6210\u4e3a Agent Memory \u7684\u4e00\u7b49\u516c\u6c11<\/h3>\n<p>\u5f88\u591a\u68c0\u7d22\u7cfb\u7edf\u53ea\u5956\u52b1\u7247\u6bb5\u5bf9 Query \u7684\u76f4\u63a5\u76f8\u5173\u6027\u3002\u4f46\u771f\u6b63\u7684\u591a\u6b65\u63a8\u7406\u5f80\u5f80\u4f9d\u8d56\u201c\u672c\u8eab\u4e0d\u662f\u7b54\u6848&#xff0c;\u5374\u8fde\u63a5\u4e24\u6761\u7b54\u6848\u8bc1\u636e\u201d\u7684\u4fe1\u606f\u3002<\/p>\n<p>\u672a\u6765\u8bb0\u5fc6\u7cfb\u7edf\u53ef\u4ee5\u8fdb\u4e00\u6b65\u663e\u5f0f\u533a\u5206&#xff1a;<\/p>\n<ul>\n<li>Answer Evidence&#xff1b;<\/li>\n<li>Bridge Evidence&#xff1b;<\/li>\n<li>Constraint Evidence&#xff1b;<\/li>\n<li>Counter Evidence&#xff1b;<\/li>\n<li>Provenance Evidence\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u6837\u6bd4\u7528\u5355\u4e00\u76f8\u4f3c\u5ea6\u6df7\u5408\u6240\u6709\u4f5c\u7528\u66f4\u6e05\u6670\u3002<\/p>\n<h3>5. \u4e0b\u4e00\u6b65\u5e94\u5f53\u652f\u6301\u53ef\u56de\u8bbf Growth<\/h3>\n<p>\u5f53\u524d Retracing \u53ea\u5728\u5df2\u751f\u6210 Fragments \u4e2d\u7b5b\u9009\u3002\u5982\u679c\u53d1\u73b0\u8def\u5f84\u65ad\u88c2&#xff0c;\u7cfb\u7edf\u5e94\u8be5\u80fd\u591f\u5b9a\u4f4d\u7f3a\u53e3&#xff0c;\u5e76\u56de\u5230\u5bf9\u5e94\u539f\u59cb\u6587\u6863\u6216\u89e6\u53d1\u65b0\u641c\u7d22\u3002\u8fd9\u4f1a\u628a MemSearch-o1 \u4ece\u4e00\u6b21\u6027\u7684 Path Construction&#xff0c;\u5347\u7ea7\u6210\u80fd\u591f\u81ea\u6211\u4fee\u8865\u7684 Revisitable Memory Path\u3002<\/p>\n<h3>6. \u5e94\u7528\u5230\u771f\u5b9e Agent \u65f6&#xff0c;\u7ed3\u6784\u5173\u7cfb\u8981\u8d85\u8fc7\u8bed\u4e49\u76f8\u4f3c\u5ea6<\/h3>\n<p>\u6587\u672c QA \u4e2d&#xff0c;\u76f8\u4f3c\u5ea6\u53ef\u4ee5\u8fd1\u4f3c\u7247\u6bb5\u8fde\u63a5&#xff1b;\u5728\u4ee3\u7801\u3001\u5de5\u5177\u548c\u7f51\u9875\u73af\u5883\u4e2d&#xff0c;\u66f4\u53ef\u9760\u7684\u6865\u63a5\u5173\u7cfb\u5206\u522b\u662f\u8c03\u7528\u4f9d\u8d56\u3001\u72b6\u6001\u8f6c\u79fb\u548c\u9875\u9762\u52a8\u4f5c\u3002MemSearch-o1 \u6700\u503c\u5f97\u8fc1\u79fb\u7684\u4e0d\u662f\u5177\u4f53\u7684 POS \u6807\u7b7e&#xff0c;\u800c\u662f\u201c\u9009\u62e9\u9886\u57df\u5408\u9002\u7684 Seed \u4e0e Bridge&#xff0c;\u518d\u91cd\u5efa\u77ed\u8def\u5f84\u201d\u7684\u601d\u60f3\u3002<\/p>\n<h2>\u4e8c\u5341\u4e8c\u3001\u603b\u7ed3<\/h2>\n<p>MemSearch-o1 \u9762\u5411 Deep Search \u4e2d\u4e0d\u65ad\u589e\u957f\u7684\u63a8\u7406\u5386\u53f2\u548c\u68c0\u7d22\u6587\u6863&#xff0c;\u63d0\u51fa\u4e86 Reasoning-aligned Memory Growth \u4e0e Memory Path Retracing\u3002<\/p>\n<p>\u5b83\u5148\u4ece\u6bcf\u8f6e\u641c\u7d22\u67e5\u8be2\u4e2d\u62bd\u53d6\u4e3b\u4f53\u3001\u52a8\u4f5c\u3001\u7a0b\u5ea6\u4fee\u9970\u548c\u65f6\u95f4\u6807\u8bb0\u7b49 Memory Seeds&#xff1b;\u518d\u56f4\u7ed5\u6bcf\u4e2a Seed \u4ece\u5f53\u524d\u68c0\u7d22\u6587\u6863\u4e2d\u751f\u957f\u7ec6\u7c92\u5ea6 Memory Fragments&#xff1b;\u641c\u7d22\u7ed3\u675f\u540e&#xff0c;\u4ee5\u539f\u95ee\u9898\u76f8\u5173\u6027\u548c\u7247\u6bb5\u6865\u63a5\u6f5c\u529b\u8ba1\u7b97\u8d21\u732e\u5ea6&#xff0c;\u8fc7\u6ee4\u4f4e\u4ef7\u503c\u7247\u6bb5&#xff0c;\u5e76\u901a\u8fc7 Greedy Search \u91cd\u7ec4\u4e3a\u6700\u591a\u5341\u4e2a\u7247\u6bb5\u7684 Memory Path\u3002\u6700\u7ec8\u56de\u7b54\u53ea\u8bfb\u53d6\u8fd9\u6761\u8def\u5f84&#xff0c;\u4e0d\u518d\u8bfb\u53d6\u5b8c\u6574\u641c\u7d22\u5386\u53f2\u3002<\/p>\n<p>\u5728 LongBench \u516b\u4efb\u52a1\u4e0a&#xff0c;MemSearch-o1 \u4f7f\u7528 Qwen2.5-72B \u7684\u5e73\u5747\u5206\u4e3a 45.53&#xff0c;\u4f7f\u7528 DeepSeek V3.1 \u4e3a 48.17&#xff0c;\u5747\u660e\u663e\u8d85\u8fc7 RAG\u3001Search-o1\u3001MemoryBank\u3001A-Mem \u548c Amber\u3002\u6d88\u878d\u663e\u793a Memory Growth \u4e0e Retracing \u5728\u516b\u4e2a\u4efb\u52a1\u4e0a\u90fd\u5e26\u6765\u7a33\u5b9a\u589e\u76ca\u3002HotpotQA \u4e0a&#xff0c;\u5b83\u8fd8\u5c06\u5e73\u5747\u63a8\u7406\u65f6\u95f4\u964d\u81f3 18.17 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\u4e3a\u4ec0\u4e48\u53ea\u6309\u76f8\u4f3c\u5ea6\u8fc7\u6ee4\u4ecd\u7136\u4e0d\u591f5. MemSearch-o1 \u7684\u95ee\u9898\u91cd\u5b9a\u4e49\u4e8c\u3001\u76f8\u5173\u5de5\u4f5c&#xff1a;\u5df2\u6709\u65b9\u6cd5\u5206\u522b\u7f3a\u5c11\u4ec0\u4e481. Standard RAG2. Search-o13. MemoryBank\u3001A-Mem \u4e0e Amber4. Graph Memory\u4e09\u3001Me<\/p>\n","protected":false},"author":2,"featured_media":99126,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[92,50,371,227,3546],"topic":[],"class_list":["post-99141","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-github","tag-50","tag-371","tag-227","tag-3546"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u3010\u8bba\u6587\u9605\u8bfb\u3011Agent \u8bb0\u5fc6\u673a\u5236\uff0857\uff09\uff1aMemSearch-o1\u2014\u2014\u4ece\u67e5\u8be2\u8bcd\u5143\u751f\u957f\u8bc1\u636e\uff0c\u91cd\u7ec4 Deep Search \u8bb0\u5fc6\u8def\u5f84 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/99141.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u3010\u8bba\u6587\u9605\u8bfb\u3011Agent \u8bb0\u5fc6\u673a\u5236\uff0857\uff09\uff1aMemSearch-o1\u2014\u2014\u4ece\u67e5\u8be2\u8bcd\u5143\u751f\u957f\u8bc1\u636e\uff0c\u91cd\u7ec4 Deep Search \u8bb0\u5fc6\u8def\u5f84 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u76ee\u5f55\u524d\u8a00\u96f6\u3001\u8bba\u6587\u57fa\u672c\u4fe1\u606f\u4e00\u3001\u80cc\u666f&#xff1a;Deep Search \u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u8bb0\u5fc6\u7a00\u91ca1. \u4ece RAG \u5230 Agentic Search2. \u641c\u7d22\u8f6e\u6570\u589e\u957f\u5e76\u4e0d\u7b49\u4e8e\u63a8\u7406\u8d28\u91cf\u589e\u957f3. \u4e3a\u4ec0\u4e48\u6458\u8981\u4f1a\u4e22\u4fe1\u606f4. \u4e3a\u4ec0\u4e48\u53ea\u6309\u76f8\u4f3c\u5ea6\u8fc7\u6ee4\u4ecd\u7136\u4e0d\u591f5. 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