{"id":31261,"date":"2025-04-21T09:04:22","date_gmt":"2025-04-21T01:04:22","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/31261.html"},"modified":"2025-04-21T09:04:22","modified_gmt":"2025-04-21T01:04:22","slug":"mit%e4%bd%95%e6%81%ba%e6%98%8e%e5%86%8d%e6%ac%a1%e7%aa%81%e7%a0%b4%e4%bc%a0%e7%bb%9f%ef%bc%9a%e5%88%86%e5%bd%a2%e9%80%92%e5%bd%92%e6%9e%b6%e6%9e%84%e5%bc%95%e7%88%86%e7%94%9f%e6%88%90%e6%a8%a1","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/31261.html","title":{"rendered":"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01"},"content":{"rendered":"<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"130\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010416-68059990ee3f5.png\" width=\"389\" \/><\/p>\n<p>\u8bba\u6587\u94fe\u63a5&#xff1a;https:\/\/arxiv.org\/pdf\/2502.17437 \u4ee3\u7801\u94fe\u63a5&#xff1a;https:\/\/github.com\/LTH14\/fractalgen<\/p>\n<p>\u4eae\u70b9\u76f4\u51fb<\/p>\n<ul>\n<li>\n<p>\u5206\u5f62\u751f\u6210\u6a21\u578b&#xff1a;\u9996\u6b21\u5c06\u5206\u5f62\u7406\u8bba\u5f15\u5165\u751f\u6210\u6a21\u578b&#xff0c;\u63d0\u51fa\u4e86\u4e00\u79cd\u5177\u6709\u81ea\u76f8\u4f3c\u6027\u7684\u9012\u5f52\u751f\u6210\u6846\u67b6\u3002<\/p>\n<\/li>\n<li>\n<p>\u9012\u5f52\u6a21\u5757\u5316&#xff1a;\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u751f\u6210\u6a21\u5757&#xff0c;\u6784\u5efa\u4e86\u590d\u6742\u7684\u751f\u6210\u7cfb\u7edf&#xff0c;\u7a81\u7834\u4e86\u4f20\u7edf\u6a21\u5757\u5316\u7684\u9650\u5236\u3002<\/p>\n<\/li>\n<li>\n<p>\u9ad8\u6027\u80fd\u50cf\u7d20\u7ea7\u751f\u6210&#xff1a;\u5728\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u4efb\u52a1\u4e2d&#xff0c;\u5c55\u793a\u4e86\u4f18\u5f02\u7684\u4f3c\u7136\u4f30\u8ba1\u548c\u751f\u6210\u8d28\u91cf&#xff0c;\u89e3\u51b3\u4e86\u73b0\u6709\u65b9\u6cd5\u7684\u4e0d\u8db3\u3002<\/p>\n<\/li>\n<li>\n<p>\u5e7f\u6cdb\u5e94\u7528\u6f5c\u529b&#xff1a;\u8be5\u6846\u67b6\u4e0d\u4ec5\u9002\u7528\u4e8e\u56fe\u50cf\u751f\u6210&#xff0c;\u8fd8\u53ef\u5e94\u7528\u4e8e\u5206\u5b50\u7ed3\u6784\u3001\u86cb\u767d\u8d28\u548c\u751f\u7269\u795e\u7ecf\u7f51\u7edc\u7b49\u975e\u987a\u5e8f\u6570\u636e\u7684\u751f\u6210&#xff0c;\u5177\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u524d\u666f\u3002<\/p>\n<\/li>\n<\/ul>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"462\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010417-6805999120dc0.png\" width=\"1592\" \/><\/p>\n<h3>\u751f\u6210\u6548\u679c<\/h3>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1003\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010417-6805999187a9d.jpg\" width=\"1422\" \/><\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"780\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010418-6805999219175.jpg\" width=\"1436\" \/><\/p>\n<h3>\u603b\u7ed3\u901f\u89c8<\/h3>\n<h5>\u89e3\u51b3\u7684\u95ee\u9898<\/h5>\n<li>\n<p>\u590d\u6742\u751f\u6210\u6a21\u578b\u7684\u6a21\u5757\u5316&#xff1a;\u73b0\u6709\u7684\u751f\u6210\u6a21\u578b&#xff08;\u5982\u6269\u6563\u6a21\u578b\u548c\u81ea\u56de\u5f52\u6a21\u578b&#xff09;\u867d\u7136\u5df2\u7ecf\u6a21\u5757\u5316&#xff0c;\u4f46\u7f3a\u4e4f\u66f4\u9ad8\u5c42\u6b21\u7684\u6a21\u5757\u5316\u62bd\u8c61&#xff0c;\u96be\u4ee5\u6784\u5efa\u66f4\u590d\u6742\u7684\u751f\u6210\u7cfb\u7edf\u3002<\/p>\n<\/li>\n<li>\n<p>\u975e\u987a\u5e8f\u6570\u636e\u7684\u751f\u6210&#xff1a;\u73b0\u6709\u65b9\u6cd5\u5728\u5904\u7406\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u7b49\u975e\u987a\u5e8f\u6570\u636e\u65f6\u8868\u73b0\u4e0d\u4f73&#xff0c;\u5c24\u5176\u662f\u5728\u4f3c\u7136\u4f30\u8ba1\u548c\u751f\u6210\u8d28\u91cf\u65b9\u9762\u3002<\/p>\n<\/li>\n<li>\n<p>\u81ea\u7136\u6570\u636e\u7684\u5206\u5f62\u7279\u6027&#xff1a;\u81ea\u7136\u6570\u636e&#xff08;\u5982\u56fe\u50cf\u3001\u86cb\u767d\u8d28\u7ed3\u6784\u7b49&#xff09;\u901a\u5e38\u5177\u6709\u5206\u5f62\u6216\u8fd1\u5206\u5f62\u7279\u6027&#xff0c;\u73b0\u6709\u751f\u6210\u6a21\u578b\u672a\u80fd\u5145\u5206\u5229\u7528\u8fd9\u4e00\u7279\u6027\u3002<\/p>\n<\/li>\n<h5>\u63d0\u51fa\u7684\u65b9\u6848<\/h5>\n<li>\n<p>\u5206\u5f62\u751f\u6210\u6a21\u578b&#xff1a;\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u751f\u6210\u6a21\u578b\u6846\u67b6&#xff0c;\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u76f8\u540c\u7c7b\u578b\u7684\u751f\u6210\u6a21\u5757\u6765\u6784\u5efa\u5206\u5f62\u751f\u6210\u6a21\u578b\u3002\u8fd9\u79cd\u6a21\u578b\u5177\u6709\u81ea\u76f8\u4f3c\u6027&#xff0c;\u80fd\u591f\u5728\u4e0d\u540c\u5c42\u6b21\u4e0a\u8868\u73b0\u51fa\u590d\u6742\u7684\u7ed3\u6784\u3002<\/p>\n<\/li>\n<li>\n<p>\u81ea\u56de\u5f52\u6a21\u578b\u4f5c\u4e3a\u751f\u6210\u5668&#xff1a;\u4ee5\u81ea\u56de\u5f52\u6a21\u578b\u4e3a\u4f8b&#xff0c;\u5c55\u793a\u4e86\u5982\u4f55\u5c06\u5206\u5f62\u751f\u6210\u6a21\u578b\u5e94\u7528\u4e8e\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u4efb\u52a1\u3002\u6bcf\u4e2a\u81ea\u56de\u5f52\u6a21\u5757\u7531\u591a\u4e2a\u5b50\u81ea\u56de\u5f52\u6a21\u5757\u7ec4\u6210&#xff0c;\u5f62\u6210\u5206\u5f62\u7ed3\u6784\u3002<\/p>\n<\/li>\n<h5>\u5e94\u7528\u7684\u6280\u672f<\/h5>\n<li>\n<p>\u9012\u5f52\u6a21\u5757\u5316&#xff1a;\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u751f\u6210\u6a21\u5757&#xff0c;\u6784\u5efa\u5177\u6709\u81ea\u76f8\u4f3c\u6027\u7684\u5206\u5f62\u751f\u6210\u6a21\u578b\u3002<\/p>\n<\/li>\n<li>\n<p>\u81ea\u56de\u5f52\u6a21\u578b&#xff1a;\u4f7f\u7528\u81ea\u56de\u5f52\u6a21\u578b\u4f5c\u4e3a\u751f\u6210\u5668&#xff0c;\u9012\u5f52\u751f\u6210\u50cf\u7d20\u7ea7\u56fe\u50cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u5206\u5f62\u7406\u8bba&#xff1a;\u501f\u9274\u6570\u5b66\u4e2d\u7684\u5206\u5f62\u6982\u5ff5&#xff0c;\u8bbe\u8ba1\u751f\u6210\u6a21\u578b\u7684\u9012\u5f52\u7ed3\u6784\u3002<\/p>\n<\/li>\n<h5>\u8fbe\u5230\u7684\u6548\u679c<\/h5>\n<li>\n<p>\u9ad8\u6027\u80fd\u751f\u6210&#xff1a;\u5728\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u4efb\u52a1\u4e2d&#xff0c;\u5206\u5f62\u751f\u6210\u6a21\u578b\u5728\u4f3c\u7136\u4f30\u8ba1\u548c\u751f\u6210\u8d28\u91cf\u65b9\u9762\u8868\u73b0\u51fa\u8272\u3002<\/p>\n<\/li>\n<li>\n<p>\u590d\u6742\u7ed3\u6784\u5efa\u6a21&#xff1a;\u80fd\u591f\u6709\u6548\u5efa\u6a21\u5177\u6709\u5185\u5728\u7ed3\u6784\u7684\u975e\u987a\u5e8f\u6570\u636e&#xff0c;\u5982\u56fe\u50cf\u3001\u5206\u5b50\u7ed3\u6784\u548c\u86cb\u767d\u8d28\u3002<\/p>\n<\/li>\n<li>\n<p>\u65b0\u7814\u7a76\u8303\u5f0f&#xff1a;\u4e3a\u751f\u6210\u6a21\u578b\u7684\u8bbe\u8ba1\u548c\u5e94\u7528\u63d0\u4f9b\u4e86\u65b0\u7684\u7814\u7a76\u65b9\u5411&#xff0c;\u6709\u671b\u63a8\u52a8\u751f\u6210\u6a21\u578b\u9886\u57df\u7684\u8fdb\u4e00\u6b65\u53d1\u5c55\u3002<\/p>\n<\/li>\n<h3>\u5206\u5f62\u751f\u6210\u6a21\u578b<\/h3>\n<p>\u5206\u5f62\u751f\u6210\u6a21\u578b\u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u9012\u5f52\u5730\u4ece\u73b0\u6709\u7684\u539f\u5b50\u751f\u6210\u6a21\u5757\u6784\u5efa\u66f4\u9ad8\u7ea7\u7684\u751f\u6210\u6a21\u578b\u3002\u5728\u672c\u8282\u4e2d&#xff0c;\u9996\u5148\u4ecb\u7ecd\u5206\u5f62\u751f\u6210\u6a21\u578b\u80cc\u540e\u7684\u9ad8\u5c42\u6b21\u52a8\u673a\u548c\u76f4\u89c9\u3002\u7136\u540e&#xff0c;\u4ee5\u81ea\u56de\u5f52\u6a21\u578b\u4e3a\u4f8b&#xff0c;\u5c55\u793a\u5982\u4f55\u5b9e\u4f8b\u5316\u5206\u5f62\u751f\u6210\u6a21\u578b\u5e76\u5c06\u5176\u7528\u4e8e\u5efa\u6a21\u975e\u5e38\u9ad8\u7ef4\u7684\u6570\u636e\u5206\u5e03\u3002<\/p>\n<h4>\u52a8\u673a<\/h4>\n<p>\u5206\u5f62\u662f\u7531\u7b80\u5355\u7684\u9012\u5f52\u89c4\u5219\u751f\u6210\u7684\u590d\u6742\u6a21\u5f0f\u3002\u5728\u5206\u5f62\u51e0\u4f55\u4e2d&#xff0c;\u8fd9\u4e9b\u89c4\u5219\u901a\u5e38\u88ab\u79f0\u4e3a\u201c\u751f\u6210\u5668\u201d\u3002\u901a\u8fc7\u4e0d\u540c\u7684\u751f\u6210\u5668&#xff0c;\u5206\u5f62\u65b9\u6cd5\u53ef\u4ee5\u6784\u9020\u8bb8\u591a\u81ea\u7136\u6a21\u5f0f&#xff0c;\u4f8b\u5982\u4e91\u3001\u5c71\u8109\u3001\u96ea\u82b1\u548c\u6811\u679d&#xff0c;\u5e76\u4e14\u4e0e\u66f4\u590d\u6742\u7684\u7cfb\u7edf\u76f8\u5173\u8054&#xff0c;\u4f8b\u5982\u751f\u7269\u795e\u7ecf\u7f51\u7edc\u7684\u7ed3\u6784\u3001\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u548c\u6df7\u6c8c\u7cfb\u7edf\u3002<\/p>\n<p>\u5f62\u5f0f\u4e0a&#xff0c;\u4e00\u4e2a\u5206\u5f62\u751f\u6210\u5668 \u6307\u5b9a\u4e86\u5982\u4f55\u57fa\u4e8e\u4e0a\u4e00\u7ea7\u751f\u6210\u5668\u7684\u4e00\u4e2a\u8f93\u51fa \u751f\u6210\u4e0b\u4e00\u7ea7\u751f\u6210\u5668\u7684\u65b0\u6570\u636e\u96c6 &#xff1a;<\/p>\n<p>\u4f8b\u5982&#xff0c;\u5982\u56fe1\u6240\u793a&#xff0c;\u751f\u6210\u5668\u53ef\u4ee5\u901a\u8fc7\u5728\u6bcf\u4e2a\u7070\u8272\u6846\u5185\u9012\u5f52\u8c03\u7528\u7c7b\u4f3c\u7684\u751f\u6210\u5668\u6765\u6784\u9020\u5206\u5f62\u3002<\/p>\n<p>\u7531\u4e8e\u6bcf\u4e2a\u751f\u6210\u5668\u7ea7\u522b\u53ef\u4ee5\u4ece\u5355\u4e2a\u8f93\u5165\u751f\u6210\u591a\u4e2a\u8f93\u51fa&#xff0c;\u5206\u5f62\u6846\u67b6\u53ef\u4ee5\u5728\u4ec5\u9700\u8981\u7ebf\u6027\u6570\u91cf\u7684\u9012\u5f52\u7ea7\u522b\u7684\u60c5\u51b5\u4e0b\u5b9e\u73b0\u751f\u6210\u8f93\u51fa\u7684\u6307\u6570\u7ea7\u589e\u957f\u3002\u8fd9\u4e00\u7279\u6027\u4f7f\u5176\u7279\u522b\u9002\u5408\u7528\u76f8\u5bf9\u8f83\u5c11\u7684\u751f\u6210\u5668\u7ea7\u522b\u6765\u5efa\u6a21\u9ad8\u7ef4\u6570\u636e\u3002<\/p>\n<p>\u5177\u4f53\u6765\u8bf4&#xff0c;\u5f15\u5165\u4e86\u4e00\u79cd\u5206\u5f62\u751f\u6210\u6a21\u578b&#xff0c;\u8be5\u6a21\u578b\u4f7f\u7528\u539f\u5b50\u751f\u6210\u6a21\u5757\u4f5c\u4e3a\u53c2\u6570\u5316\u5206\u5f62\u751f\u6210\u5668\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f&#xff0c;\u795e\u7ecf\u7f51\u7edc\u76f4\u63a5\u4ece\u6570\u636e\u4e2d\u201c\u5b66\u4e60\u201d\u9012\u5f52\u89c4\u5219\u3002\u901a\u8fc7\u5c06\u5206\u5f62\u8f93\u51fa\u7684\u6307\u6570\u589e\u957f\u4e0e\u795e\u7ecf\u751f\u6210\u6a21\u5757\u76f8\u7ed3\u5408&#xff0c;\u6211\u4eec\u7684\u5206\u5f62\u6846\u67b6\u80fd\u591f\u5efa\u6a21\u9ad8\u7ef4\u975e\u987a\u5e8f\u6570\u636e\u3002\u63a5\u4e0b\u6765&#xff0c;\u5c06\u5c55\u793a\u5982\u4f55\u4ee5\u81ea\u56de\u5f52\u6a21\u578b\u4f5c\u4e3a\u5206\u5f62\u751f\u6210\u5668\u6765\u5b9e\u4f8b\u5316\u8fd9\u4e00\u601d\u60f3\u3002<\/p>\n<h4>\u81ea\u56de\u5f52\u6a21\u578b\u4f5c\u4e3a\u5206\u5f62\u751f\u6210\u5668<\/h4>\n<p>\u5728\u672c\u8282\u4e2d&#xff0c;\u6211\u4eec\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u81ea\u56de\u5f52\u6a21\u578b\u4f5c\u4e3a\u5206\u5f62\u751f\u6210\u5668\u6765\u6784\u5efa\u5206\u5f62\u751f\u6210\u6a21\u578b\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u5efa\u6a21\u4e00\u5927\u7ec4\u968f\u673a\u53d8\u91cf \u7684\u8054\u5408\u5206\u5e03&#xff0c;\u4f46\u76f4\u63a5\u7528\u5355\u4e00\u81ea\u56de\u5f52\u6a21\u578b\u5efa\u6a21\u5728\u8ba1\u7b97\u4e0a\u662f\u4e0d\u53ef\u884c\u7684\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898&#xff0c;\u6211\u4eec\u91c7\u7528\u4e86\u4e00\u79cd\u5206\u800c\u6cbb\u4e4b\u7684\u7b56\u7565\u3002\u5173\u952e\u7684\u6a21\u5757\u5316\u662f\u5c06\u81ea\u56de\u5f52\u6a21\u578b\u62bd\u8c61\u4e3a\u4e00\u4e2a\u6a21\u5757\u5316\u5355\u5143&#xff0c;\u7528\u4e8e\u5efa\u6a21\u6982\u7387\u5206\u5e03 \u3002\u901a\u8fc7\u8fd9\u79cd\u6a21\u5757\u5316&#xff0c;\u6211\u4eec\u53ef\u4ee5\u5728\u591a\u4e2a\u4e0b\u4e00\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u7684\u57fa\u7840\u4e0a\u6784\u5efa\u4e00\u4e2a\u66f4\u5f3a\u5927\u7684\u81ea\u56de\u5f52\u6a21\u578b\u3002<\/p>\n<p>\u5047\u8bbe\u6bcf\u4e2a\u81ea\u56de\u5f52\u6a21\u578b\u4e2d\u7684\u5e8f\u5217\u957f\u5ea6\u662f\u4e00\u4e2a\u53ef\u7ba1\u7406\u7684\u5e38\u6570 &#xff0c;\u5e76\u4e14\u968f\u673a\u53d8\u91cf\u7684\u603b\u6570\u4e3a &#xff0c;\u5176\u4e2d \u8868\u793a\u6211\u4eec\u5206\u5f62\u6846\u67b6\u4e2d\u7684\u9012\u5f52\u7ea7\u522b\u6570\u3002\u5206\u5f62\u6846\u67b6\u7684\u7b2c\u4e00\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u5c06\u8054\u5408\u5206\u5e03\u5212\u5206\u4e3a \u4e2a\u5b50\u96c6&#xff0c;\u6bcf\u4e2a\u5b50\u96c6\u5305\u542b \u4e2a\u53d8\u91cf\u3002\u5f62\u5f0f\u4e0a&#xff0c;\u6211\u4eec\u5c06\u8054\u5408\u5206\u5e03\u5206\u89e3\u4e3a&#xff1a;<\/p>\n<p>\u6bcf\u4e2a\u5305\u542b \u4e2a\u53d8\u91cf\u7684\u6761\u4ef6\u5206\u5e03 \u7531\u7b2c\u4e8c\u7ea7\u9012\u5f52\u7684\u81ea\u56de\u5f52\u6a21\u578b\u5efa\u6a21&#xff0c;\u4ee5\u6b64\u7c7b\u63a8\u3002\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u8fd9\u79cd\u5206\u800c\u6cbb\u4e4b\u7684\u8fc7\u7a0b&#xff0c;\u6211\u4eec\u7684\u5206\u5f62\u6846\u67b6\u53ef\u4ee5\u4f7f\u7528 \u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u9ad8\u6548\u5730\u5904\u7406 \u4e2a\u53d8\u91cf\u7684\u8054\u5408\u5206\u5e03&#xff0c;\u6bcf\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u64cd\u4f5c\u5728\u53ef\u7ba1\u7406\u7684\u5e8f\u5217\u957f\u5ea6 \u4e0a\u3002<\/p>\n<p>\u8fd9\u79cd\u9012\u5f52\u8fc7\u7a0b\u4ee3\u8868\u4e86\u4e00\u79cd\u6807\u51c6\u7684\u5206\u800c\u6cbb\u4e4b\u7b56\u7565\u3002\u901a\u8fc7\u9012\u5f52\u5206\u89e3\u8054\u5408\u5206\u5e03&#xff0c;\u6211\u4eec\u7684\u5206\u5f62\u81ea\u56de\u5f52\u67b6\u6784\u4e0d\u4ec5\u663e\u8457\u964d\u4f4e\u4e86\u8ba1\u7b97\u6210\u672c&#xff08;\u4e0e\u5355\u4e00\u5927\u578b\u81ea\u56de\u5f52\u6a21\u578b\u76f8\u6bd4&#xff09;&#xff0c;\u8fd8\u6355\u6349\u4e86\u6570\u636e\u4e2d\u7684\u5185\u5728\u5c42\u6b21\u7ed3\u6784\u3002<\/p>\n<p>\u4ece\u6982\u5ff5\u4e0a\u8bb2&#xff0c;\u53ea\u8981\u6570\u636e\u8868\u73b0\u51fa\u53ef\u4ee5\u4ee5\u5206\u800c\u6cbb\u4e4b\u65b9\u5f0f\u7ec4\u7ec7\u7684\u7ed3\u6784&#xff0c;\u5c31\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u5206\u5f62\u6846\u67b6\u4e2d\u81ea\u7136\u5efa\u6a21\u3002\u4e3a\u4e86\u63d0\u4f9b\u4e00\u4e2a\u66f4\u5177\u4f53\u7684\u4f8b\u5b50&#xff0c;\u5728\u4e0b\u4e00\u8282\u4e2d&#xff0c;\u6211\u4eec\u5c06\u5b9e\u73b0\u8fd9\u79cd\u65b9\u6cd5\u6765\u89e3\u51b3\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u8fd9\u4e00\u5177\u6709\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002<\/p>\n<h3>\u56fe\u50cf\u751f\u6210\u5b9e\u4f8b<\/h3>\n<p>\u6211\u4eec\u73b0\u5728\u5c55\u793a\u5206\u5f62\u751f\u6210\u6a21\u578b\u7684\u4e00\u4e2a\u5177\u4f53\u5b9e\u73b0&#xff0c;\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u8fd9\u4e00\u5177\u6709\u6311\u6218\u6027\u7684\u4efb\u52a1\u3002\u5c3d\u7ba1\u672c\u6587\u4ee5\u56fe\u50cf\u751f\u6210\u4f5c\u4e3a\u6d4b\u8bd5\u5e73\u53f0&#xff0c;\u4f46\u76f8\u540c\u7684\u5206\u800c\u6cbb\u4e4b\u67b6\u6784\u4e5f\u53ef\u4ee5\u6f5c\u5728\u5730\u9002\u5e94\u5176\u4ed6\u6570\u636e\u9886\u57df\u3002\u63a5\u4e0b\u6765&#xff0c;\u6211\u4eec\u9996\u5148\u8ba8\u8bba\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u7684\u6311\u6218\u548c\u91cd\u8981\u6027\u3002<\/p>\n<h4>\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210<\/h4>\n<p>\u7531\u4e8e\u539f\u59cb\u56fe\u50cf\u6570\u636e\u7684\u9ad8\u7ef4\u6027\u548c\u590d\u6742\u6027&#xff0c;\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u4ecd\u7136\u662f\u751f\u6210\u5efa\u6a21\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6311\u6218\u3002\u8be5\u4efb\u52a1\u8981\u6c42\u6a21\u578b\u80fd\u591f\u9ad8\u6548\u5904\u7406\u5927\u91cf\u50cf\u7d20&#xff0c;\u540c\u65f6\u6709\u6548\u5b66\u4e60\u50cf\u7d20\u4e4b\u95f4\u4e30\u5bcc\u7684\u7ed3\u6784\u6a21\u5f0f\u548c\u76f8\u4e92\u4f9d\u8d56\u6027\u3002\u56e0\u6b64&#xff0c;\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u5df2\u6210\u4e3a\u4e00\u4e2a\u5177\u6709\u6311\u6218\u6027\u7684\u57fa\u51c6\u4efb\u52a1&#xff0c;\u5927\u591a\u6570\u73b0\u6709\u65b9\u6cd5\u4ecd\u7136\u5c40\u9650\u4e8e\u4f3c\u7136\u4f30\u8ba1&#xff0c;\u5e76\u4e14\u65e0\u6cd5\u751f\u6210\u4ee4\u4eba\u6ee1\u610f\u7684\u56fe\u50cf&#xff0c;\u6bd4\u5982&#xff08;Child et al., 2019; Hawthorne et al., 2022; Yu et al., 2023&#xff09;\u3002<\/p>\n<p>\u5c3d\u7ba1\u5177\u6709\u6311\u6218\u6027&#xff0c;\u50cf\u7d20\u7ea7\u751f\u6210\u4ee3\u8868\u4e86\u4e00\u7c7b\u66f4\u5e7f\u6cdb\u7684\u91cd\u8981\u9ad8\u7ef4\u751f\u6210\u95ee\u9898\u3002\u8fd9\u4e9b\u95ee\u9898\u65e8\u5728\u9010\u5143\u7d20\u751f\u6210\u6570\u636e&#xff0c;\u4f46\u4e0e\u957f\u5e8f\u5217\u5efa\u6a21\u4e0d\u540c&#xff0c;\u5b83\u4eec\u901a\u5e38\u6d89\u53ca\u975e\u987a\u5e8f\u6570\u636e\u3002\u4f8b\u5982&#xff0c;\u8bb8\u591a\u7ed3\u6784&#xff08;\u5982\u5206\u5b50\u6784\u578b\u3001\u86cb\u767d\u8d28\u548c\u751f\u7269\u795e\u7ecf\u7f51\u7edc&#xff09;\u5e76\u4e0d\u8868\u73b0\u51fa\u987a\u5e8f\u67b6\u6784&#xff0c;\u4f46\u5374\u5305\u542b\u975e\u5e38\u9ad8\u7ef4\u548c\u7ed3\u6784\u5316\u7684\u6570\u636e\u5206\u5e03\u3002\u901a\u8fc7\u9009\u62e9\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u4f5c\u4e3a\u6211\u4eec\u5206\u5f62\u6846\u67b6\u7684\u5b9e\u4f8b&#xff0c;\u6211\u4eec\u7684\u76ee\u6807\u4e0d\u4ec5\u662f\u89e3\u51b3\u8ba1\u7b97\u673a\u89c6\u89c9\u4e2d\u7684\u4e00\u4e2a\u5173\u952e\u6311\u6218&#xff0c;\u8fd8\u5c55\u793a\u4e86\u5206\u5f62\u65b9\u6cd5\u5728\u5efa\u6a21\u5177\u6709\u5185\u5728\u7ed3\u6784\u7684\u9ad8\u7ef4\u975e\u987a\u5e8f\u6570\u636e\u65b9\u9762\u7684\u6f5c\u529b\u3002<\/p>\n<h4>\u67b6\u6784<\/h4>\n<p>\u5982\u56fe3\u6240\u793a&#xff0c;\u6bcf\u4e2a\u81ea\u56de\u5f52\u6a21\u578b\u5c06\u4e0a\u4e00\u7ea7\u751f\u6210\u5668\u7684\u8f93\u51fa\u4f5c\u4e3a\u5176\u8f93\u5165&#xff0c;\u5e76\u4e3a\u4e0b\u4e00\u7ea7\u751f\u6210\u5668\u751f\u6210\u591a\u4e2a\u8f93\u51fa\u3002\u5b83\u8fd8\u63a5\u6536\u4e00\u5f20\u56fe\u50cf&#xff08;\u53ef\u4ee5\u662f\u539f\u59cb\u56fe\u50cf\u7684\u4e00\u4e2a patch&#xff09;&#xff0c;\u5c06\u5176\u5206\u5272\u6210\u591a\u4e2a patch&#xff0c;\u5e76\u5c06\u5b83\u4eec\u5d4c\u5165\u4ee5\u5f62\u6210 transformer \u6a21\u578b\u7684\u8f93\u5165\u5e8f\u5217\u3002\u8fd9\u4e9b patch \u4e5f\u88ab\u9988\u9001\u5230\u76f8\u5e94\u7684\u4e0b\u4e00\u7ea7\u751f\u6210\u5668\u3002transformer \u5c06\u4e0a\u4e00\u7ea7\u751f\u6210\u5668\u7684\u8f93\u51fa\u4f5c\u4e3a\u4e00\u4e2a\u5355\u72ec\u7684 token&#xff0c;\u653e\u7f6e\u5728\u56fe\u50cf token \u4e4b\u524d\u3002\u57fa\u4e8e\u8fd9\u4e2a\u7ec4\u5408\u5e8f\u5217&#xff0c;transformer \u4e3a\u4e0b\u4e00\u7ea7\u751f\u6210\u5668\u751f\u6210\u591a\u4e2a\u8f93\u51fa\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1102\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010418-680599928bb46.png\" width=\"895\" \/><\/p>\n<p>\u9075\u5faa\u89c6\u89c9transformer\u548c\u56fe\u50cf\u751f\u6210\u6a21\u578b\u7684\u5e38\u89c1\u5b9e\u8df5&#xff0c;\u5c06\u7b2c\u4e00\u7ea7\u751f\u6210\u5668 \u7684\u5e8f\u5217\u957f\u5ea6\u8bbe\u7f6e\u4e3a 256&#xff0c;\u5c06\u539f\u59cb\u56fe\u50cf\u5212\u5206\u4e3a 16\u00d716 \u7684 patch\u3002\u7b2c\u4e8c\u7ea7\u751f\u6210\u5668\u968f\u540e\u5bf9\u6bcf\u4e2a patch \u8fdb\u884c\u5efa\u6a21&#xff0c;\u5e76\u5c06\u5176\u8fdb\u4e00\u6b65\u7ec6\u5206\u4e3a\u66f4\u5c0f\u7684 patch&#xff0c;\u9012\u5f52\u5730\u7ee7\u7eed\u8fd9\u4e00\u8fc7\u7a0b\u3002\u4e3a\u4e86\u7ba1\u7406\u8ba1\u7b97\u6210\u672c&#xff0c;\u6211\u4eec\u9010\u6b65\u51cf\u5c11\u8f83\u5c0f patch \u7684\u5bbd\u5ea6\u548c transformer \u5757\u7684\u6570\u91cf&#xff0c;\u56e0\u4e3a\u5efa\u6a21\u8f83\u5c0f\u7684 patch \u901a\u5e38\u6bd4\u5efa\u6a21\u8f83\u5927\u7684 patch \u66f4\u5bb9\u6613\u3002\u5728\u6700\u540e\u4e00\u7ea7&#xff0c;\u6211\u4eec\u4f7f\u7528\u4e00\u4e2a\u975e\u5e38\u8f7b\u91cf\u7ea7\u7684 transformer \u5bf9\u6bcf\u4e2a\u50cf\u7d20\u7684 RGB \u901a\u9053\u8fdb\u884c\u81ea\u56de\u5f52\u5efa\u6a21&#xff0c;\u5e76\u5728\u9884\u6d4b\u4e0a\u5e94\u7528 256 \u8def\u4ea4\u53c9\u71b5\u635f\u5931\u3002\u88681\u8be6\u7ec6\u5217\u51fa\u4e86\u4e0d\u540c\u9012\u5f52\u7ea7\u522b\u548c\u5206\u8fa8\u7387\u4e0b\u6bcf\u4e2a transformer \u7684\u914d\u7f6e\u548c\u8ba1\u7b97\u6210\u672c\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f&#xff0c;\u901a\u8fc7\u6211\u4eec\u7684\u5206\u5f62\u8bbe\u8ba1&#xff0c;\u5efa\u6a21 256\u00d7256 \u56fe\u50cf\u7684\u8ba1\u7b97\u6210\u672c\u4ec5\u4e3a\u5efa\u6a21 64\u00d764 \u56fe\u50cf\u7684\u4e24\u500d\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1193\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010419-6805999315e4b.png\" width=\"802\" \/><\/p>\n<p>\u6839\u636e&#xff08;Li et al., 2024&#xff09;&#xff0c;\u672c\u6587\u65b9\u6cd5\u652f\u6301\u4e0d\u540c\u7684\u81ea\u56de\u5f52\u8bbe\u8ba1\u3002\u5728\u672c\u5de5\u4f5c\u4e2d&#xff0c;\u4e3b\u8981\u8003\u8651\u4e24\u79cd\u53d8\u4f53&#xff1a;\u4e00\u79cd\u662f\u4ee5\u5149\u6805\u987a\u5e8f\u3001\u7c7b\u4f3c GPT \u7684\u56e0\u679c transformer&#xff08;AR&#xff09;&#xff0c;\u53e6\u4e00\u79cd\u662f\u4ee5\u968f\u673a\u987a\u5e8f\u3001\u7c7b\u4f3c BERT \u7684\u53cc\u5411 transformer&#xff08;MAR&#xff09;&#xff08;\u56fe6&#xff09;\u3002\u4e24\u79cd\u8bbe\u8ba1\u90fd\u9075\u5faa\u81ea\u56de\u5f52\u7684\u4e0b\u4e00\u4e2a token \u9884\u6d4b\u539f\u5219&#xff0c;\u5404\u6709\u4f18\u7f3a\u70b9&#xff0c;\u8be6\u89c1\u9644\u5f55 B\u3002\u5c06\u4f7f\u7528 AR \u53d8\u4f53\u7684\u5206\u5f62\u6846\u67b6\u547d\u540d\u4e3a FractalAR&#xff0c;\u5c06\u4f7f\u7528 MAR \u53d8\u4f53\u7684\u5206\u5f62\u6846\u67b6\u547d\u540d\u4e3a FractalMAR\u3002<\/p>\n<h4>\u4e0e\u5c3a\u5ea6\u7a7a\u95f4\u81ea\u56de\u5f52\u6a21\u578b\u7684\u5173\u7cfb<\/h4>\n<p>\u6700\u8fd1&#xff0c;\u4e00\u4e9b\u6a21\u578b\u88ab\u63d0\u51fa\u7528\u4e8e\u6267\u884c\u5c3a\u5ea6\u95f4\u7684\u81ea\u56de\u5f52\u56fe\u50cf\u751f\u6210\u3002\u8fd9\u4e9b\u5c3a\u5ea6\u7a7a\u95f4\u81ea\u56de\u5f52\u6a21\u578b\u4e0e\u6211\u4eec\u63d0\u51fa\u7684\u65b9\u6cd5\u4e4b\u95f4\u7684\u4e00\u4e2a\u4e3b\u8981\u533a\u522b\u5728\u4e8e&#xff0c;\u5b83\u4eec\u4f7f\u7528\u5355\u4e00\u7684\u81ea\u56de\u5f52\u6a21\u578b\u9010\u5c3a\u5ea6\u9884\u6d4b token\u3002\u76f8\u6bd4\u4e4b\u4e0b&#xff0c;\u6211\u4eec\u7684\u5206\u5f62\u6846\u67b6\u91c7\u7528\u5206\u800c\u6cbb\u4e4b\u7684\u7b56\u7565&#xff0c;\u901a\u8fc7\u751f\u6210\u5b50\u6a21\u5757\u9012\u5f52\u5efa\u6a21\u539f\u59cb\u50cf\u7d20\u3002\u53e6\u4e00\u4e2a\u5173\u952e\u533a\u522b\u5728\u4e8e\u8ba1\u7b97\u590d\u6742\u5ea6&#xff1a;\u5c3a\u5ea6\u7a7a\u95f4\u81ea\u56de\u5f52\u6a21\u578b\u5728\u751f\u6210\u4e0b\u4e00\u5c3a\u5ea6\u7684 token \u65f6\u9700\u8981\u5bf9\u6574\u4e2a\u5e8f\u5217\u6267\u884c\u5168\u6ce8\u610f\u529b\u673a\u5236&#xff0c;\u8fd9\u5bfc\u81f4\u8ba1\u7b97\u590d\u6742\u5ea6\u663e\u8457\u589e\u52a0\u3002<\/p>\n<p>\u4f8b\u5982&#xff0c;\u5728\u751f\u6210\u5206\u8fa8\u7387\u4e3a 256\u00d7256 \u7684\u56fe\u50cf\u65f6&#xff0c;\u5728\u6700\u540e\u4e00\u4e2a\u5c3a\u5ea6\u4e2d&#xff0c;\u5c3a\u5ea6\u7a7a\u95f4\u81ea\u56de\u5f52\u6a21\u578b\u7684\u6bcf\u4e2a\u6ce8\u610f\u529b\u5757\u4e2d\u7684\u6ce8\u610f\u529b\u77e9\u9635\u5927\u5c0f\u4e3a \u3002\u76f8\u6bd4\u4e4b\u4e0b&#xff0c;\u6211\u4eec\u7684\u65b9\u6cd5\u5728\u5efa\u6a21\u50cf\u7d20\u7684\u76f8\u4e92\u4f9d\u8d56\u6027\u65f6\u5bf9\u975e\u5e38\u5c0f\u7684 patch&#xff08;4\u00d74&#xff09;\u6267\u884c\u6ce8\u610f\u529b\u673a\u5236&#xff0c;\u6bcf\u4e2a patch \u7684\u6ce8\u610f\u529b\u77e9\u9635\u4ec5\u4e3a &#xff0c;\u603b\u7684\u6ce8\u610f\u529b\u77e9\u9635\u5927\u5c0f\u4e3a \u6b21\u64cd\u4f5c\u3002\u8fd9\u79cd\u51cf\u5c11\u4f7f\u6211\u4eec\u7684\u65b9\u6cd5\u5728\u6700\u7cbe\u7ec6\u5206\u8fa8\u7387\u4e0b\u7684\u8ba1\u7b97\u6548\u7387\u63d0\u9ad8\u4e86 4000 \u500d&#xff0c;\u4ece\u800c\u9996\u6b21\u5b9e\u73b0\u4e86\u9010\u50cf\u7d20\u5efa\u6a21\u9ad8\u5206\u8fa8\u7387\u56fe\u50cf\u7684\u80fd\u529b\u3002<\/p>\n<h4>\u4e0e\u957f\u5e8f\u5217\u5efa\u6a21\u7684\u5173\u7cfb<\/h4>\n<p>\u5927\u591a\u6570\u5148\u524d\u5173\u4e8e\u50cf\u7d20\u7ea7\u751f\u6210\u7684\u5de5\u4f5c\u5c06\u95ee\u9898\u8868\u8ff0\u4e3a\u957f\u5e8f\u5217\u5efa\u6a21&#xff0c;\u5e76\u5229\u7528\u8bed\u8a00\u5efa\u6a21\u65b9\u6cd5\u6765\u89e3\u51b3\u5b83&#xff0c;\u6bd4\u5982&#xff08;Child et al., 2019; Roy et al., 2021; Ren et al., 2021; Hawthorne et al., 2022; Yu et al., 2023&#xff09;\u3002\u7136\u800c&#xff0c;\u8bb8\u591a\u6570\u636e\u7c7b\u578b&#xff08;\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\u56fe\u50cf&#xff09;\u7684\u5185\u5728\u7ed3\u6784\u8d85\u8d8a\u4e86\u4e00\u7ef4\u5e8f\u5217\u3002\u4e0e\u8fd9\u4e9b\u65b9\u6cd5\u4e0d\u540c&#xff0c;\u6211\u4eec\u5c06\u6b64\u7c7b\u6570\u636e\u89c6\u4e3a\u7531\u591a\u4e2a\u5143\u7d20\u7ec4\u6210\u7684\u96c6\u5408&#xff08;\u800c\u975e\u5e8f\u5217&#xff09;&#xff0c;\u5e76\u91c7\u7528\u5206\u800c\u6cbb\u4e4b\u7684\u7b56\u7565\u9012\u5f52\u5efa\u6a21\u5177\u6709\u8f83\u5c11\u5143\u7d20\u7684\u8f83\u5c0f\u5b50\u96c6\u3002\u8fd9\u79cd\u65b9\u6cd5\u7684\u52a8\u673a\u662f\u89c2\u5bdf\u5230\u8bb8\u591a\u6b64\u7c7b\u6570\u636e\u8868\u73b0\u51fa\u8fd1\u5206\u5f62\u7ed3\u6784&#xff1a;\u56fe\u50cf\u7531\u5b50\u56fe\u50cf\u7ec4\u6210&#xff0c;\u5206\u5b50\u7531\u5b50\u5206\u5b50\u7ec4\u6210&#xff0c;\u751f\u7269\u795e\u7ecf\u7f51\u7edc\u7531\u5b50\u7f51\u7edc\u7ec4\u6210\u3002\u56e0\u6b64&#xff0c;\u8bbe\u8ba1\u7528\u4e8e\u5904\u7406\u6b64\u7c7b\u6570\u636e\u7684\u751f\u6210\u6a21\u578b\u5e94\u7531\u672c\u8eab\u5c31\u662f\u751f\u6210\u6a21\u578b\u7684\u5b50\u6a21\u5757\u7ec4\u6210\u3002<\/p>\n<h4>\u5b9e\u73b0<\/h4>\n<p>\u6211\u4eec\u7b80\u8981\u63cf\u8ff0\u4e86\u5206\u5f62\u56fe\u50cf\u751f\u6210\u6846\u67b6\u7684\u8bad\u7ec3\u548c\u751f\u6210\u8fc7\u7a0b\u3002\u66f4\u591a\u7ec6\u8282\u548c\u8d85\u53c2\u6570\u53ef\u4ee5\u5728\u9644\u5f55 A \u4e2d\u627e\u5230\u3002<\/p>\n<p>\u8bad\u7ec3&#xff1a;\u901a\u8fc7\u4ee5\u5e7f\u5ea6\u4f18\u5148\u7684\u65b9\u5f0f\u904d\u5386\u5206\u5f62\u67b6\u6784&#xff0c;\u5728\u539f\u59cb\u56fe\u50cf\u50cf\u7d20\u4e0a\u7aef\u5230\u7aef\u5730\u8bad\u7ec3\u5206\u5f62\u6a21\u578b\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d&#xff0c;\u6bcf\u4e2a\u81ea\u56de\u5f52\u6a21\u578b\u63a5\u6536\u6765\u81ea\u524d\u4e00\u4e2a\u81ea\u56de\u5f52\u6a21\u578b\u7684\u8f93\u5165&#xff0c;\u5e76\u4e3a\u4e0b\u4e00\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u751f\u6210\u4e00\u7ec4\u8f93\u51fa\u4f5c\u4e3a\u8f93\u5165\u3002\u8fd9\u4e00\u8fc7\u7a0b\u4e00\u76f4\u6301\u7eed\u5230\u6700\u540e\u4e00\u7ea7&#xff0c;\u5176\u4e2d\u56fe\u50cf\u88ab\u8868\u793a\u4e3a\u50cf\u7d20\u5e8f\u5217\u3002\u6700\u7ec8\u7684\u81ea\u56de\u5f52\u6a21\u578b\u4f7f\u7528\u6bcf\u4e2a\u50cf\u7d20\u7684\u8f93\u51fa\u4ee5\u81ea\u56de\u5f52\u65b9\u5f0f\u9884\u6d4b RGB \u901a\u9053\u3002\u5728\u9884\u6d4b\u7684 logits \u4e0a\u8ba1\u7b97\u4ea4\u53c9\u71b5\u635f\u5931&#xff08;\u5c06 RGB \u503c\u89c6\u4e3a 0 \u5230 255 \u7684\u79bb\u6563\u6574\u6570&#xff09;&#xff0c;\u5e76\u901a\u8fc7\u6240\u6709\u7ea7\u522b\u7684\u81ea\u56de\u5f52\u6a21\u578b\u53cd\u5411\u4f20\u64ad\u6b64\u635f\u5931&#xff0c;\u4ece\u800c\u7aef\u5230\u7aef\u5730\u8bad\u7ec3\u6574\u4e2a\u5206\u5f62\u6846\u67b6\u3002<\/p>\n<p>\u751f\u6210&#xff1a;\u6211\u4eec\u7684\u5206\u5f62\u6a21\u578b\u4ee5\u9010\u50cf\u7d20\u7684\u65b9\u5f0f\u751f\u6210\u56fe\u50cf&#xff0c;\u6309\u7167\u6df1\u5ea6\u4f18\u5148\u987a\u5e8f\u904d\u5386\u5206\u5f62\u67b6\u6784&#xff0c;\u5982\u56fe2\u6240\u793a\u3002\u8fd9\u91cc\u6211\u4eec\u4ee5 MAR&#xff08;Li et al., 2024&#xff09;\u7684\u968f\u673a\u987a\u5e8f\u751f\u6210\u65b9\u6848\u4e3a\u4f8b\u3002\u7b2c\u4e00\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u6355\u6349 16\u00d716 \u56fe\u50cf patch \u4e4b\u95f4\u7684\u76f8\u4e92\u4f9d\u8d56\u6027&#xff0c;\u5e76\u5728\u6bcf\u4e00\u6b65\u57fa\u4e8e\u5df2\u77e5 patch \u751f\u6210\u4e0b\u4e00\u7ea7\u7684\u8f93\u51fa\u3002\u7b2c\u4e8c\u7ea7\u6a21\u578b\u968f\u540e\u5229\u7528\u8fd9\u4e9b\u8f93\u51fa\u6765\u5efa\u6a21\u6bcf\u4e2a 16\u00d716 patch \u5185 4\u00d74 patch \u4e4b\u95f4\u7684\u76f8\u4e92\u4f9d\u8d56\u6027\u3002\u7c7b\u4f3c\u5730&#xff0c;\u7b2c\u4e09\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u5efa\u6a21\u6bcf\u4e2a 4\u00d74 patch \u5185\u5355\u4e2a\u50cf\u7d20\u4e4b\u95f4\u7684\u76f8\u4e92\u4f9d\u8d56\u6027\u3002\u6700\u540e&#xff0c;\u6700\u540e\u4e00\u7ea7\u81ea\u56de\u5f52\u6a21\u578b\u4ece\u81ea\u56de\u5f52\u9884\u6d4b\u7684 RGB logits \u4e2d\u91c7\u6837\u5b9e\u9645\u7684 RGB \u503c\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"919\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010419-680599938f2c6.png\" width=\"800\" \/><\/p>\n<h3>\u5b9e\u9a8c<\/h3>\n<p>\u5728 ImageNet \u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u4e86\u5e7f\u6cdb\u7684\u5b9e\u9a8c&#xff0c;\u5206\u8fa8\u7387\u4e3a 64\u00d764 \u548c 256\u00d7256\u3002\u8bc4\u4f30\u5305\u62ec\u65e0\u6761\u4ef6\u56fe\u50cf\u751f\u6210\u548c\u7c7b\u522b\u6761\u4ef6\u56fe\u50cf\u751f\u6210&#xff0c;\u6db5\u76d6\u4e86\u6a21\u578b\u7684\u591a\u4e2a\u65b9\u9762&#xff0c;\u5982\u4f3c\u7136\u4f30\u8ba1\u3001\u4fdd\u771f\u5ea6\u3001\u591a\u6837\u6027\u548c\u751f\u6210\u8d28\u91cf\u3002\u56e0\u6b64&#xff0c;\u62a5\u544a\u4e86\u8d1f\u5bf9\u6570\u4f3c\u7136&#xff08;NLL&#xff09;\u3001Frechet Inception Distance&#xff08;FID&#xff09;\u3001Inception Score&#xff08;IS&#xff09;\u3001Precision \u548c Recall\u4ee5\u53ca\u53ef\u89c6\u5316\u7ed3\u679c&#xff0c;\u4ee5\u5168\u9762\u8bc4\u4f30\u6211\u4eec\u7684\u5206\u5f62\u6846\u67b6\u3002<\/p>\n<h4>\u4f3c\u7136\u4f30\u8ba1<\/h4>\n<p>\u9996\u5148\u5728\u65e0\u6761\u4ef6 ImageNet 64\u00d764 \u751f\u6210\u4efb\u52a1\u4e0a\u8bc4\u4f30\u6211\u4eec\u7684\u65b9\u6cd5&#xff0c;\u4ee5\u68c0\u9a8c\u5176\u4f3c\u7136\u4f30\u8ba1\u80fd\u529b\u3002\u4e3a\u4e86\u68c0\u9a8c\u5206\u5f62\u6846\u67b6\u7684\u6709\u6548\u6027&#xff0c;\u6211\u4eec\u6bd4\u8f83\u4e86\u4e0d\u540c\u5206\u5f62\u7ea7\u522b\u4e0b\u6846\u67b6\u7684\u4f3c\u7136\u4f30\u8ba1\u6027\u80fd&#xff0c;\u5982\u88682\u6240\u793a\u3002\u4f7f\u7528\u5355\u4e00\u81ea\u56de\u5f52\u6a21\u578b\u5efa\u6a21\u6574\u4e2a 64\u00d764\u00d73&#061;12,288 \u50cf\u7d20\u5e8f\u5217\u4f1a\u5bfc\u81f4\u6781\u9ad8\u7684\u8ba1\u7b97\u6210\u672c&#xff0c;\u4f7f\u5f97\u8bad\u7ec3\u4e0d\u53ef\u884c\u3002\u6b64\u5916&#xff0c;\u4e24\u7ea7\u5206\u5f62\u6846\u67b6&#xff08;\u9996\u5148\u5efa\u6a21\u6574\u4e2a\u50cf\u7d20\u5e8f\u5217&#xff0c;\u7136\u540e\u5efa\u6a21 RGB \u901a\u9053&#xff09;\u9700\u8981\u7684\u8ba1\u7b97\u91cf\u662f\u6211\u4eec\u4e09\u7ea7\u5206\u5f62\u6a21\u578b\u7684\u5341\u500d\u4ee5\u4e0a\u3002\u4f7f\u7528\u66f4\u591a\u5206\u5f62\u7ea7\u522b\u4e0d\u4ec5\u8ba1\u7b97\u6548\u7387\u66f4\u9ad8&#xff0c;\u8fd8\u63d0\u9ad8\u4e86\u4f3c\u7136\u4f30\u8ba1\u6027\u80fd&#xff0c;\u8fd9\u53ef\u80fd\u662f\u56e0\u4e3a\u5b83\u66f4\u597d\u5730\u6355\u6349\u4e86\u56fe\u50cf\u7684\u5185\u5728\u5c42\u6b21\u7ed3\u6784\u3002\u8fd9\u4e9b\u7ed3\u679c\u8bc1\u660e\u4e86\u6211\u4eec\u5206\u5f62\u6846\u67b6\u7684\u9ad8\u6548\u6027\u548c\u6709\u6548\u6027\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"566\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010419-68059993e31af.png\" width=\"806\" \/><\/p>\n<p>\u8fdb\u4e00\u6b65\u5728\u88685\u4e2d\u5c06\u6211\u4eec\u7684\u65b9\u6cd5\u4e0e\u5176\u4ed6\u57fa\u4e8e\u4f3c\u7136\u7684\u6a21\u578b\u8fdb\u884c\u4e86\u6bd4\u8f83\u3002\u672c\u6587\u7684\u5206\u5f62\u751f\u6210\u6a21\u578b&#xff08;\u4f7f\u7528\u56e0\u679c\u548c\u63a9\u7801\u81ea\u56de\u5f52\u5206\u5f62\u751f\u6210\u5668\u5b9e\u4f8b\u5316&#xff09;\u5728\u4f3c\u7136\u6027\u80fd\u4e0a\u8868\u73b0\u5f3a\u52b2\u3002\u7279\u522b\u662f&#xff0c;\u5b83\u5b9e\u73b0\u4e86\u6bcf\u7ef4\u5ea6 3.14 \u6bd4\u7279\u7684\u8d1f\u5bf9\u6570\u4f3c\u7136&#xff0c;\u663e\u8457\u4f18\u4e8e\u4e4b\u524d\u6700\u597d\u7684\u81ea\u56de\u5f52\u6a21\u578b&#xff08;\u6bcf\u7ef4\u5ea6 3.40 \u6bd4\u7279&#xff09;&#xff0c;\u5e76\u4e0e\u57fa\u4e8e\u6269\u6563\u7684\u5148\u8fdb\u65b9\u6cd5\u4fdd\u6301\u7ade\u4e89\u529b\u3002\u8fd9\u4e9b\u53d1\u73b0\u8bc1\u660e\u4e86\u6211\u4eec\u7684\u5206\u5f62\u6846\u67b6\u5728\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u8fd9\u4e00\u6311\u6218\u6027\u4efb\u52a1\u4e2d\u7684\u6709\u6548\u6027&#xff0c;\u7a81\u663e\u4e86\u5176\u5728\u5efa\u6a21\u9ad8\u7ef4\u975e\u987a\u5e8f\u6570\u636e\u5206\u5e03\u65b9\u9762\u7684\u6f5c\u529b\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"411\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010420-68059994318fc.png\" width=\"798\" \/><\/p>\n<h4>\u751f\u6210\u8d28\u91cf<\/h4>\n<p>\u5728\u7c7b\u522b\u6761\u4ef6\u56fe\u50cf\u751f\u6210\u4efb\u52a1\u4e0a\u8bc4\u4f30\u4e86 FractalMAR&#xff0c;\u5206\u8fa8\u7387\u4e3a 256\u00d7256&#xff0c;\u4f7f\u7528\u4e86\u56db\u4e2a\u5206\u5f62\u7ea7\u522b\u3002\u6309\u7167\u6807\u51c6\u5b9e\u8df5\u62a5\u544a\u4e86 FID\u3001Inception Score\u3001Precision \u548c Recall \u7b49\u6807\u51c6\u6307\u6807&#xff0c;\u4ee5\u8bc4\u4f30\u5176\u751f\u6210\u8d28\u91cf&#xff0c;\u5982\u88684\u6240\u793a\u3002\u5177\u4f53\u800c\u8a00&#xff0c;FractalMAR-H \u5b9e\u73b0\u4e86 6.15 \u7684 FID \u548c 348.9 \u7684 Inception Score&#xff0c;\u5e73\u5747\u541e\u5410\u91cf\u4e3a\u6bcf\u5f20\u56fe\u50cf 1.29 \u79d2&#xff08;\u5728\u5355\u4e2a Nvidia H100 PCIe GPU \u4e0a\u4ee5\u6279\u91cf\u5927\u5c0f 1,024 \u8fdb\u884c\u8bc4\u4f30&#xff09;\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"671\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010420-680599946b10c.png\" width=\"818\" \/><\/p>\n<p>\u503c\u5f97\u6ce8\u610f\u7684\u662f&#xff0c;\u672c\u6587\u65b9\u6cd5\u5728 Inception Score \u548c Precision \u4e0a\u8868\u73b0\u5f3a\u52b2&#xff0c;\u8868\u660e\u5176\u80fd\u591f\u751f\u6210\u5177\u6709\u9ad8\u4fdd\u771f\u5ea6\u548c\u7cbe\u7ec6\u7ec6\u8282\u7684\u56fe\u50cf&#xff0c;\u5982\u56fe4\u6240\u793a\u3002\u7136\u800c&#xff0c;\u5176 FID \u548c Recall \u76f8\u5bf9\u8f83\u5f31&#xff0c;\u8868\u660e\u751f\u6210\u7684\u6837\u672c\u591a\u6837\u6027\u8f83\u4f4e\u3002\u63a8\u6d4b\u8fd9\u662f\u7531\u4e8e\u9010\u50cf\u7d20\u5efa\u6a21\u8fd1 200,000 \u4e2a\u50cf\u7d20\u7684\u5de8\u5927\u6311\u6218\u6240\u81f4\u3002\u5c3d\u7ba1\u5982\u6b64&#xff0c;\u8fd9\u4e9b\u7ed3\u679c\u7a81\u663e\u4e86\u6211\u4eec\u7684\u65b9\u6cd5\u4e0d\u4ec5\u5728\u51c6\u786e\u4f3c\u7136\u4f30\u8ba1\u65b9\u9762\u6709\u6548&#xff0c;\u8fd8\u80fd\u751f\u6210\u9ad8\u8d28\u91cf\u56fe\u50cf\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1226\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010420-68059994b3e4c.jpg\" width=\"1633\" \/><\/p>\n<p>\u8fdb\u4e00\u6b65\u89c2\u5bdf\u5230\u4e86\u4e00\u4e2a\u6709\u5e0c\u671b\u7684\u6269\u5c55\u8d8b\u52bf&#xff1a;\u5c06\u6a21\u578b\u5927\u5c0f\u4ece 186M \u53c2\u6570\u589e\u52a0\u5230 848M \u53c2\u6570&#xff0c;\u663e\u8457\u6539\u5584\u4e86 FID&#xff08;\u4ece 11.80 \u964d\u81f3 6.15&#xff09;\u548c Recall&#xff08;\u4ece 0.29 \u63d0\u5347\u81f3 0.46&#xff09;\u3002\u9884\u8ba1\u8fdb\u4e00\u6b65\u589e\u52a0\u53c2\u6570\u89c4\u6a21\u53ef\u4ee5\u8fdb\u4e00\u6b65\u7f29\u5c0f FID \u548c Recall \u7684\u5dee\u8ddd\u3002\u4e0e\u4f9d\u8d56\u5206\u8bcd\u5668\u7684\u6a21\u578b\u4e0d\u540c&#xff0c;\u6211\u4eec\u7684\u65b9\u6cd5\u4e0d\u53d7\u5206\u8bcd\u5f15\u5165\u7684\u91cd\u5efa\u8bef\u5dee\u5f71\u54cd&#xff0c;\u8868\u660e\u5728\u66f4\u5927\u6a21\u578b\u5bb9\u91cf\u4e0b\u53ef\u80fd\u5b9e\u73b0\u65e0\u4e0a\u9650\u7684\u6027\u80fd\u63d0\u5347\u3002<\/p>\n<h4>\u6761\u4ef6\u9010\u50cf\u7d20\u9884\u6d4b<\/h4>\n<p>\u8fdb\u4e00\u6b65\u901a\u8fc7\u56fe\u50cf\u7f16\u8f91\u4e2d\u7684\u5e38\u89c4\u4efb\u52a1\u68c0\u9a8c\u4e86\u6211\u4eec\u65b9\u6cd5\u5728\u6761\u4ef6\u9010\u50cf\u7d20\u9884\u6d4b\u65b9\u9762\u7684\u6027\u80fd\u3002\u56fe5\u63d0\u4f9b\u4e86\u51e0\u4e2a\u793a\u4f8b&#xff0c;\u5305\u62ec\u4fee\u590d\u3001\u5916\u63a8\u3001\u53bb\u88c1\u526a\u548c\u7c7b\u522b\u6761\u4ef6\u7f16\u8f91\u3002\u5982\u56fe\u6240\u793a&#xff0c;\u672c\u6587\u65b9\u6cd5\u80fd\u591f\u57fa\u4e8e\u672a\u63a9\u7801\u533a\u57df\u51c6\u786e\u9884\u6d4b\u88ab\u63a9\u7801\u7684\u50cf\u7d20\u3002\u6b64\u5916&#xff0c;\u5b83\u8fd8\u80fd\u6709\u6548\u5730\u4ece\u7c7b\u522b\u6807\u7b7e\u4e2d\u6355\u6349\u9ad8\u7ea7\u8bed\u4e49&#xff0c;\u5e76\u5728\u9884\u6d4b\u7684\u50cf\u7d20\u4e2d\u53cd\u6620\u51fa\u6765\u3002\u8fd9\u5728\u7c7b\u522b\u6761\u4ef6\u7f16\u8f91\u793a\u4f8b\u4e2d\u5f97\u5230\u4e86\u5c55\u793a&#xff0c;\u6a21\u578b\u901a\u8fc7\u4ee5\u72d7\u7684\u7c7b\u522b\u6807\u7b7e\u4e3a\u6761\u4ef6&#xff0c;\u5c06\u732b\u7684\u8138\u66ff\u6362\u4e3a\u72d7\u7684\u8138\u3002\u8fd9\u4e9b\u7ed3\u679c\u8bc1\u660e\u4e86\u6211\u4eec\u7684\u65b9\u6cd5\u5728\u7ed9\u5b9a\u5df2\u77e5\u6761\u4ef6\u4e0b\u9884\u6d4b\u672a\u77e5\u6570\u636e\u65b9\u9762\u7684\u6709\u6548\u6027\u3002<\/p>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1145\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010421-680599958bb74.jpg\" width=\"707\" \/><\/p>\n<p>\u66f4\u5e7f\u6cdb\u5730\u8bf4&#xff0c;\u901a\u8fc7\u9010\u5143\u7d20\u751f\u6210\u6570\u636e&#xff0c;\u672c\u6587\u65b9\u6cd5\u63d0\u4f9b\u4e86\u4e00\u79cd\u6bd4\u6269\u6563\u6a21\u578b\u6216\u5728\u6f5c\u5728\u7a7a\u95f4\u4e2d\u64cd\u4f5c\u7684\u751f\u6210\u6a21\u578b\u66f4\u6613\u4e8e\u4eba\u7c7b\u7406\u89e3\u7684\u751f\u6210\u8fc7\u7a0b\u3002\u8fd9\u79cd\u53ef\u89e3\u91ca\u7684\u751f\u6210\u8fc7\u7a0b\u4e0d\u4ec5\u4f7f\u6211\u4eec\u80fd\u591f\u66f4\u597d\u5730\u7406\u89e3\u6570\u636e\u662f\u5982\u4f55\u751f\u6210\u7684&#xff0c;\u8fd8\u63d0\u4f9b\u4e86\u4e00\u79cd\u63a7\u5236\u548c\u4e0e\u751f\u6210\u8fc7\u7a0b\u4ea4\u4e92\u7684\u65b9\u5f0f\u3002\u8fd9\u79cd\u80fd\u529b\u5728\u89c6\u89c9\u5185\u5bb9\u521b\u4f5c\u3001\u5efa\u7b51\u8bbe\u8ba1\u548c\u836f\u7269\u53d1\u73b0\u7b49\u5e94\u7528\u4e2d\u5c24\u4e3a\u91cd\u8981\u3002\u672c\u6587\u6709\u7ade\u4e89\u529b\u7684\u7ed3\u679c\u7a81\u663e\u4e86\u6211\u4eec\u65b9\u6cd5\u5728\u53ef\u63a7\u548c\u4ea4\u4e92\u5f0f\u751f\u6210\u65b9\u9762\u7684\u6f5c\u529b&#xff0c;\u4e3a\u672a\u6765\u5728\u8fd9\u4e00\u65b9\u5411\u4e0a\u7684\u63a2\u7d22\u94fa\u5e73\u4e86\u9053\u8def\u3002<\/p>\n<h3>\u8ba8\u8bba\u4e0e\u7ed3\u8bba<\/h3>\n<p>\u672c\u6587\u63d0\u51fa\u7684\u5206\u5f62\u751f\u6210\u6a21\u578b\u7684\u6709\u6548\u6027\u901a\u8fc7\u50cf\u7d20\u7ea7\u751f\u6210\u8fd9\u4e00\u6311\u6218\u6027\u4efb\u52a1\u5f97\u5230\u4e86\u9a8c\u8bc1&#xff0c;\u8fd9\u4e3a\u8bbe\u8ba1\u751f\u6210\u6a21\u578b\u63d0\u4f9b\u4e86\u65b0\u7684\u673a\u4f1a\u3002\u5b83\u7a81\u663e\u4e86\u5c06\u590d\u6742\u6570\u636e\u5206\u5e03\u5206\u89e3\u4e3a\u53ef\u7ba1\u7406\u7684\u5b50\u95ee\u9898&#xff0c;\u5e76\u901a\u8fc7\u5c06\u73b0\u6709\u751f\u6210\u6a21\u578b\u62bd\u8c61\u4e3a\u6a21\u5757\u5316\u5355\u5143\u6765\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u7684\u6f5c\u529b\u3002\u6211\u4eec\u76f8\u4fe1&#xff0c;\u5206\u5f62\u751f\u6210\u6a21\u578b\u7279\u522b\u9002\u5408\u5efa\u6a21\u5177\u6709\u8d85\u8d8a\u4e00\u7ef4\u987a\u5e8f\u7684\u5185\u5728\u7ed3\u6784\u7684\u6570\u636e\u3002\u5e0c\u671b\u672c\u65b9\u6cd5\u7684\u7b80\u5355\u6027\u548c\u6709\u6548\u6027\u80fd\u591f\u6fc0\u53d1\u7814\u7a76\u793e\u533a\u63a2\u7d22\u5206\u5f62\u751f\u6210\u6a21\u578b\u7684\u65b0\u8bbe\u8ba1\u548c\u5e94\u7528\u3002<\/p>\n<h3>\u53c2\u8003\u6587\u732e<\/h3>\n<p>[1] Fractal Generative Models<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb2k\u6b21\uff0c\u70b9\u8d5e18\u6b21\uff0c\u6536\u85cf10\u6b21\u3002\u590d\u6742\u751f\u6210\u6a21\u578b\u7684\u6a21\u5757\u5316\uff1a\u73b0\u6709\u7684\u751f\u6210\u6a21\u578b\uff08\u5982\u6269\u6563\u6a21\u578b\u548c\u81ea\u56de\u5f52\u6a21\u578b\uff09\u867d\u7136\u5df2\u7ecf\u6a21\u5757\u5316\uff0c\u4f46\u7f3a\u4e4f\u66f4\u9ad8\u5c42\u6b21\u7684\u6a21\u5757\u5316\u62bd\u8c61\uff0c\u96be\u4ee5\u6784\u5efa\u66f4\u590d\u6742\u7684\u751f\u6210\u7cfb\u7edf\u3002\u975e\u987a\u5e8f\u6570\u636e\u7684\u751f\u6210\uff1a\u73b0\u6709\u65b9\u6cd5\u5728\u5904\u7406\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u7b49\u975e\u987a\u5e8f\u6570\u636e\u65f6\u8868\u73b0\u4e0d\u4f73\uff0c\u5c24\u5176\u662f\u5728\u4f3c\u7136\u4f30\u8ba1\u548c\u751f\u6210\u8d28\u91cf\u65b9\u9762\u3002\u81ea\u7136\u6570\u636e\u7684\u5206\u5f62\u7279\u6027\uff1a\u81ea\u7136\u6570\u636e\uff08\u5982\u56fe\u50cf\u3001\u86cb\u767d\u8d28\u7ed3\u6784\u7b49\uff09\u901a\u5e38\u5177\u6709\u5206\u5f62\u6216\u8fd1\u5206\u5f62\u7279\u6027\uff0c\u73b0\u6709\u751f\u6210\u6a21\u578b\u672a\u80fd\u5145\u5206\u5229\u7528\u8fd9\u4e00\u7279\u6027\u3002_\u4f55\u51ef\u660e<\/p>\n","protected":false},"author":2,"featured_media":31249,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[75,2521,2519,2520],"topic":[],"class_list":["post-31261","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-llm","tag-2521","tag-2519","tag-2520"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01 - \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\/31261.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb2k\u6b21\uff0c\u70b9\u8d5e18\u6b21\uff0c\u6536\u85cf10\u6b21\u3002\u590d\u6742\u751f\u6210\u6a21\u578b\u7684\u6a21\u5757\u5316\uff1a\u73b0\u6709\u7684\u751f\u6210\u6a21\u578b\uff08\u5982\u6269\u6563\u6a21\u578b\u548c\u81ea\u56de\u5f52\u6a21\u578b\uff09\u867d\u7136\u5df2\u7ecf\u6a21\u5757\u5316\uff0c\u4f46\u7f3a\u4e4f\u66f4\u9ad8\u5c42\u6b21\u7684\u6a21\u5757\u5316\u62bd\u8c61\uff0c\u96be\u4ee5\u6784\u5efa\u66f4\u590d\u6742\u7684\u751f\u6210\u7cfb\u7edf\u3002\u975e\u987a\u5e8f\u6570\u636e\u7684\u751f\u6210\uff1a\u73b0\u6709\u65b9\u6cd5\u5728\u5904\u7406\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u7b49\u975e\u987a\u5e8f\u6570\u636e\u65f6\u8868\u73b0\u4e0d\u4f73\uff0c\u5c24\u5176\u662f\u5728\u4f3c\u7136\u4f30\u8ba1\u548c\u751f\u6210\u8d28\u91cf\u65b9\u9762\u3002\u81ea\u7136\u6570\u636e\u7684\u5206\u5f62\u7279\u6027\uff1a\u81ea\u7136\u6570\u636e\uff08\u5982\u56fe\u50cf\u3001\u86cb\u767d\u8d28\u7ed3\u6784\u7b49\uff09\u901a\u5e38\u5177\u6709\u5206\u5f62\u6216\u8fd1\u5206\u5f62\u7279\u6027\uff0c\u73b0\u6709\u751f\u6210\u6a21\u578b\u672a\u80fd\u5145\u5206\u5229\u7528\u8fd9\u4e00\u7279\u6027\u3002_\u4f55\u51ef\u660e\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/31261.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2025-04-21T01:04:22+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010416-68059990ee3f5.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/31261.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/31261.html\",\"name\":\"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2025-04-21T01:04:22+00:00\",\"dateModified\":\"2025-04-21T01:04:22+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/31261.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/31261.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/31261.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/31261.html","og_locale":"zh_CN","og_type":"article","og_title":"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb2k\u6b21\uff0c\u70b9\u8d5e18\u6b21\uff0c\u6536\u85cf10\u6b21\u3002\u590d\u6742\u751f\u6210\u6a21\u578b\u7684\u6a21\u5757\u5316\uff1a\u73b0\u6709\u7684\u751f\u6210\u6a21\u578b\uff08\u5982\u6269\u6563\u6a21\u578b\u548c\u81ea\u56de\u5f52\u6a21\u578b\uff09\u867d\u7136\u5df2\u7ecf\u6a21\u5757\u5316\uff0c\u4f46\u7f3a\u4e4f\u66f4\u9ad8\u5c42\u6b21\u7684\u6a21\u5757\u5316\u62bd\u8c61\uff0c\u96be\u4ee5\u6784\u5efa\u66f4\u590d\u6742\u7684\u751f\u6210\u7cfb\u7edf\u3002\u975e\u987a\u5e8f\u6570\u636e\u7684\u751f\u6210\uff1a\u73b0\u6709\u65b9\u6cd5\u5728\u5904\u7406\u50cf\u7d20\u7ea7\u56fe\u50cf\u751f\u6210\u7b49\u975e\u987a\u5e8f\u6570\u636e\u65f6\u8868\u73b0\u4e0d\u4f73\uff0c\u5c24\u5176\u662f\u5728\u4f3c\u7136\u4f30\u8ba1\u548c\u751f\u6210\u8d28\u91cf\u65b9\u9762\u3002\u81ea\u7136\u6570\u636e\u7684\u5206\u5f62\u7279\u6027\uff1a\u81ea\u7136\u6570\u636e\uff08\u5982\u56fe\u50cf\u3001\u86cb\u767d\u8d28\u7ed3\u6784\u7b49\uff09\u901a\u5e38\u5177\u6709\u5206\u5f62\u6216\u8fd1\u5206\u5f62\u7279\u6027\uff0c\u73b0\u6709\u751f\u6210\u6a21\u578b\u672a\u80fd\u5145\u5206\u5229\u7528\u8fd9\u4e00\u7279\u6027\u3002_\u4f55\u51ef\u660e","og_url":"https:\/\/www.wsisp.com\/helps\/31261.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2025-04-21T01:04:22+00:00","og_image":[{"url":"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250421010416-68059990ee3f5.png"}],"author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"3 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/31261.html","url":"https:\/\/www.wsisp.com\/helps\/31261.html","name":"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2025-04-21T01:04:22+00:00","dateModified":"2025-04-21T01:04:22+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/31261.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/31261.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/31261.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"MIT\u4f55\u607a\u660e\u518d\u6b21\u7a81\u7834\u4f20\u7edf\uff1a\u5206\u5f62\u9012\u5f52\u67b6\u6784\u5f15\u7206\u751f\u6210\u6a21\u578b\u65b0\u7eaa\u5143\uff01"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/31261","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=31261"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/31261\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media\/31249"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=31261"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=31261"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=31261"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=31261"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}