{"id":92759,"date":"2026-08-11T07:57:03","date_gmt":"2026-08-10T23:57:03","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/92759.html"},"modified":"2026-08-11T07:57:03","modified_gmt":"2026-08-10T23:57:03","slug":"ai%e5%a4%a7%e6%a8%a1%e5%9e%8b%e4%b8%8e%e6%95%b0%e5%ad%a6%c2%b7%e7%ac%ac24%e8%af%be-%e4%b8%89%e9%87%8d%e7%a7%af%e5%88%86","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/92759.html","title":{"rendered":"AI\u5927\u6a21\u578b\u4e0e\u6570\u5b66\u00b7\u7b2c24\u8bfe \u4e09\u91cd\u79ef\u5206"},"content":{"rendered":"<p>\u4e09\u91cd\u79ef\u5206\u57fa\u7840&#xff08;\u4ece\u7ebf\u2192\u9762\u2192\u4f53\u7684\u7ec8\u6781\u7d2f\u79ef&#xff09;<br \/>\n\u672c\u8bfe\u524d\u7f6e\u4e32\u8054&#xff08;\u6253\u901a\u4f53\u7cfb&#xff09;<br \/>\n\u7b2c22\u8bfe&#xff1a;\u7ea6\u675f\u5bfb\u4f18&#xff08;\u7ed9AI\u641c\u7d22\u5212\u5b9a\u8fb9\u754c&#xff09;<br 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\/>\n\u626b\u6ee1\u6574\u4e2a\u623f\u95f4\u5730\u9762&#xff1a;<br \/>\n\u6a2a\u5411&#043;\u7eb5\u5411\u94fa\u6ee1\u5e73\u9762 \u2192 \u9762\u7684\u7d2f\u52a0<\/li>\n<li>\u4e09\u91cd\u79ef\u5206&#xff08;3D&#xff09;<br \/>\n\u626b\u6ee1\u6574\u4e2a\u623f\u95f4\u7684\u7a7a\u6c14\u7a7a\u95f4&#xff01;<br \/>\n\u4e0d\u4ec5\u5730\u9762&#xff0c;\u5305\u542b\u9ad8\u5ea6\u3001\u7acb\u4f53\u7a7a\u95f4\u91cc\u6240\u6709\u7269\u8d28\u3001\u6240\u6709\u6570\u503c\u3001\u6240\u6709\u8bef\u5dee\u3002<br \/>\n\u7ec8\u6781\u901a\u4fd7\u5b9a\u4e49<br \/>\n\u4e8c\u91cd\u79ef\u5206&#xff1a;\u5728\u5e73\u9762\u533a\u57df\u91cc\u7d2f\u52a0<br \/>\n\u4e09\u91cd\u79ef\u5206&#xff1a;\u5728\u4e09\u7ef4\u7acb\u4f53\u533a\u57df\u91cc&#xff0c;\u628a\u65e0\u6570\u5fae\u5c0f\u7acb\u4f53\u5c0f\u5757\u5168\u90e8\u7d2f\u52a0<br \/>\n\u5bf9\u5e94\u7269\u7406\u76f4\u89c2&#xff1a;<br \/>\n1D&#xff1a;\u957f\u5ea6\u7d2f\u79ef<br \/>\n2D&#xff1a;\u9762\u79ef\u7d2f\u79ef<br \/>\n3D&#xff1a;\u4f53\u79ef\u5185\u90e8\u7684\u603b\u91cf\u7d2f\u79ef<br \/>\n\u91cd\u70b9\u533a\u5206&#xff08;90%\u7684\u4eba\u6df7\u6dc6&#xff09;<br \/>\n\u4e8c\u91cd\u79ef\u5206 &#061; \u6c42\u66f2\u9762\u56f4\u6210\u7684\u4f53\u79ef<br \/>\n\u4e09\u91cd\u79ef\u5206 &#061; \u5728\u5df2\u7ecf\u6210\u578b\u7684\u7acb\u4f53\u5185\u90e8&#xff0c;\u6c42\u8d28\u91cf\u3001\u603b\u91cf\u3001\u5bc6\u5ea6\u7d2f\u79ef<\/li>\n<p>\u4e8c\u3001\u4e13\u4e1a\u6570\u5b66\u5b9a\u4e49<br \/>\n\u8bbe\u4e09\u5143\u51fd\u6570 f(x,y,z)&#xff0c;\u5b9a\u4e49\u5728\u4e09\u7ef4\u7a7a\u95f4\u95ed\u533a\u57df \\\\Omega<br \/>\n\u5c06\u7acb\u4f53\u533a\u57df\u65e0\u9650\u5207\u5272\u4e3a\u65e0\u6570\u5fae\u5c0f\u7acb\u4f53\u5757 dV&#061;dxdydz<br \/>\n\u4e09\u91cd\u79ef\u5206\u6807\u51c6\u5f0f&#xff1a;<br \/>\n\\\\iiint_\\\\Omega f(x,y,z),dV<br \/>\n\u4e09\u5927\u7269\u7406\u542b\u4e49&#xff08;AI\u9ad8\u9891\u4f7f\u7528&#xff09;<\/p>\n<li>f(x,y,z)&#061; \u5bc6\u5ea6 \u2192 \u79ef\u5206\u7ed3\u679c &#061; \u7acb\u4f53\u603b\u8d28\u91cf<\/li>\n<li>f(x,y,z)&#061; \u8bef\u5dee\u503c \u2192 \u79ef\u5206\u7ed3\u679c &#061; \u4e09\u7ef4\u7a7a\u95f4\u5168\u5c40\u603b\u8bef\u5dee<\/li>\n<li>f(x,y,z)&#061; \u6982\u7387\u5bc6\u5ea6 \u2192 \u79ef\u5206\u7ed3\u679c &#061; \u4e09\u7ef4\u4e8b\u4ef6\u603b\u6982\u7387<\/li>\n<p>\u4e09\u3001\u8ba1\u7b97\u6838\u5fc3\u903b\u8f91&#xff08;\u8d85\u7ea7\u7b80\u5355&#xff09;<br \/>\n\u6838\u5fc3\u89c4\u5f8b&#xff1a;\u6240\u6709\u9ad8\u7ef4\u79ef\u5206&#xff0c;\u5168\u90e8\u964d\u7ef4\u8ba1\u7b97<br \/>\n\u4e8c\u91cd\u79ef\u5206 &#061; \u62c6 2\u6b21\u4e00\u91cd\u79ef\u5206<br \/>\n\u4e09\u91cd\u79ef\u5206 &#061; \u62c6 3\u6b21\u4e00\u91cd\u79ef\u5206<br \/>\n\u516c\u5f0f&#xff1a;<br \/>\n\\\\iiint_\\\\Omega f(x,y,z)dxdydz<br \/>\n&#061;\\\\int\\\\int\\\\int f(x,y,z),dx,dy,dz<br \/>\n\u8ba1\u7b97\u987a\u5e8f\u53e3\u8bc0<br \/>\n\u5148\u56fa\u5b9a\u4e24\u4e2a&#xff0c;\u79ef\u4e00\u4e2a&#xff1b;\u5c42\u5c42\u5265\u79bb&#xff0c;\u4ece\u91cc\u5230\u5916\u3002<\/p>\n<li>\u5148\u79efx&#xff08;y\u3001z\u5f53\u5e38\u6570&#xff09;<\/li>\n<li>\u518d\u79efy&#xff08;z\u5f53\u5e38\u6570&#xff09;<\/li>\n<li>\u6700\u540e\u79efz<br \/>\n\u672c\u8d28&#xff1a;\u628a\u7acb\u4f53\u5207\u7247\u2192\u6210\u7247\u2192\u6210\u6574\u4f53<\/li>\n<p>\u56db\u3001\u6781\u7b80\u5165\u95e8\u4f8b\u9898&#xff08;\u770b\u61c2\u5373\u638c\u63e1&#xff09;<br \/>\n\u8ba1\u7b97\u7acb\u65b9\u4f53\u533a\u57df&#xff1a;<br \/>\n\\\\Omega: 0\\\\le x\\\\le1,\\\\ 0\\\\le y\\\\le1,\\\\ 0\\\\le z\\\\le1<br \/>\n\u6c42&#xff1a;\\\\iiint_\\\\Omega (x&#043;y&#043;z)dV<br \/>\n\u89e3\u9898\u6b65\u9aa4<\/p>\n<li>\u8f6c\u4e3a\u4e09\u6b21\u7d2f\u6b21\u79ef\u5206<br \/>\n&#061;\\\\int_0<sup>1\\\\int_0<\/sup>1\\\\int_0^1 (x&#043;y&#043;z),dx,dy,dz<\/li>\n<li>\u5185\u5c42\u5bf9x\u79ef\u5206&#xff08;y\u3001z\u89c6\u4e3a\u5e38\u6570&#xff09;<br \/>\n\\\\int_0^1 (x&#043;y&#043;z)dx&#061;\\\\frac12&#043;y&#043;z<\/li>\n<li>\u4e2d\u5c42\u5bf9y\u79ef\u5206<br \/>\n\\\\int_0^1 \\\\left(\\\\frac12&#043;y&#043;z\\\\right)dy&#061;1&#043;z<\/li>\n<li>\u5916\u5c42\u5bf9z\u79ef\u5206<br \/>\n\\\\int_0^1 (1&#043;z)dz&#061;\\\\frac32<br \/>\n\u2705 \u7ed3\u679c&#xff1a;\\\\displaystyle \\\\frac{3}{2}<br \/>\n\u601d\u7ef4\u603b\u7ed3<br \/>\n\u89c4\u5219\u7acb\u4f53&#xff08;\u7acb\u65b9\u4f53\u3001\u957f\u65b9\u4f53&#xff09;\u4e0a\u4e0b\u9650\u5168\u662f\u5e38\u6570&#xff0c;\u65e0\u8111\u76f4\u63a5\u4e09\u5c42\u79ef\u5206&#xff0c;\u662fAI\u5de5\u7a0b\u6700\u5e38\u7528\u6a21\u578b\u3002<\/li>\n<p>\u4e94\u3001\u4e09\u91cd\u79ef\u5206\u6838\u5fc3\u6027\u8d28&#xff08;\u627f\u63a5\u524d\u4e24\u8bfe&#xff09;<\/p>\n<li>\u5e38\u6570\u53ef\u63d0\u51fa<br \/>\n\\\\iiint kf,dV &#061; k\\\\iiint f,dV<\/li>\n<li>\u52a0\u51cf\u53ef\u62c6\u5206<br \/>\n\\\\iiint(f\\\\pm g)&#061;\\\\iiint f\\\\pm\\\\iiint g<\/li>\n<li>\u7acb\u4f53\u533a\u57df\u53ef\u62c6\u5206<br \/>\n\u590d\u6742\u7acb\u4f53 &#061; \u591a\u4e2a\u7b80\u5355\u7acb\u4f53\u79ef\u5206\u76f8\u52a0<\/li>\n<p>\u516d\u3001\u8d85\u7ea7\u91cd\u70b9&#xff1a;\u4e09\u91cd\u79ef\u5206\u5230\u5e95\u652f\u6491\u5927\u6a21\u578b\u4ec0\u4e48\u80fd\u529b&#xff1f;<br \/>\n&#xff08;\u6253\u901a\u6570\u5b66\u4e0eAI\u5e95\u5c42&#xff0c;\u5185\u884c\u6838\u5fc3\u4ef7\u503c&#xff09;<br \/>\n1\u3001\u9002\u914d\u5927\u6a21\u578b\u300c\u4e09\u7ef4\u5f20\u91cf\u300d\u7ed3\u6784<br \/>\n\u5927\u6a21\u578b\u57fa\u7840\u6570\u636e\u4e0d\u662f\u7ebf\u3001\u4e0d\u662f\u9762&#xff0c;\u662f&#xff1a;<br \/>\n\u4e09\u7ef4\u5f20\u91cf&#xff08;Batch\u3001\u884c\u3001\u5217 \/ \u901a\u9053\u3001\u9ad8\u3001\u5bbd&#xff09;<br \/>\n\u4e00\u7ef4\u6570\u5b66\u3001\u4e8c\u7ef4\u6570\u5b66\u4e0d\u591f\u63cf\u8ff0&#xff0c;\u5fc5\u987b\u4e09\u91cd\u79ef\u5206\u601d\u7ef4\u505a\u5168\u57df\u7edf\u8ba1<br \/>\n2\u30013D\u89c6\u89c9AI\u5e95\u5c42\u6838\u5fc3<br \/>\n\u73b0\u5728\u706b\u70ed\u7684&#xff1a;\u4e09\u7ef4\u91cd\u5efa\u3001\u70b9\u4e91AI\u3001\u7acb\u4f53\u611f\u77e5<br \/>\n\u8f93\u5165\u662f\u7a7a\u95f4xyz\u4e09\u7ef4\u6570\u636e<br \/>\n\u5168\u5c40\u7279\u5f81\u7d2f\u79ef\u3001\u7a7a\u95f4\u5bc6\u5ea6\u52a0\u6743\u3001\u7acb\u4f53\u8bef\u5dee\u8ba1\u7b97&#xff0c;\u5168\u90e8\u4f9d\u8d56\u4e09\u91cd\u79ef\u5206\u3002<br \/>\n3\u3001\u9ad8\u7ef4\u6982\u7387\u5f52\u4e00\u5316<br \/>\n\u591a\u53d8\u91cf\u8054\u5408\u6982\u7387&#xff1a;<br \/>\n\u4e09\u7ef4\u8fde\u7eed\u968f\u673a\u53d8\u91cf&#xff0c;\u6ee1\u8db3&#xff1a;<br \/>\n\\\\iiint p(x,y,z)dV&#061;1<br \/>\n\u662f\u6269\u6563\u6a21\u578b\u3001\u751f\u6210\u6a21\u578b\u91c7\u6837\u7684\u5e95\u5c42\u6570\u5b66\u7ea6\u675f\u3002<br \/>\n4\u3001\u5b8c\u6574\u627f\u63a5\u4f60\u6574\u5957\u8bfe\u7a0b\u903b\u8f91<br \/>\n\u68af\u5ea6\u3001\u5fae\u5206&#xff1a;\u770b\u5c40\u90e8\u53d8\u5316\u3001\u627e\u65b9\u5411<br \/>\n\u4e00\u91cd\/\u4e8c\u91cd\/\u4e09\u91cd\u79ef\u5206&#xff1a;\u770b\u5168\u5c40\u7d2f\u79ef\u3001\u7b97\u603b\u91cf<br \/>\n\u62c9\u683c\u6717\u65e5&#xff1a;\u5212\u5b9a\u4f18\u5316\u8fb9\u754c<br \/>\n\u5fae\u5206\u627e\u65b9\u5411\u3001\u79ef\u5206\u7b97\u7ed3\u679c\u3001\u7ea6\u675f\u5b9a\u8303\u56f4 &#061; AI\u8bad\u7ec3\u5b8c\u6574\u6570\u5b66\u95ed\u73af<\/p>\n<p>\u4e03\u3001\u4e09\u6863\u79ef\u5206\u7ec8\u6781\u6c47\u603b\u8868&#xff08;\u6c38\u4e45\u8bb0\u5fc6&#xff09;<\/p>\n<li>\u4e00\u91cd\u79ef\u5206&#xff08;1D&#xff09;<br \/>\n\u7ef4\u5ea6&#xff1a;\u7ebf<br \/>\n\u529f\u80fd&#xff1a;\u957f\u5ea6\u7d2f\u52a0\u3001\u66f2\u7ebf\u9762\u79ef<br \/>\nAI\u7528\u9014&#xff1a;\u5355\u53c2\u6570\u8bef\u5dee\u3001\u5355\u53d8\u91cf\u4f18\u5316<\/li>\n<li>\u4e8c\u91cd\u79ef\u5206&#xff08;2D&#xff09;<br \/>\n\u7ef4\u5ea6&#xff1a;\u9762<br \/>\n\u529f\u80fd&#xff1a;\u5e73\u9762\u7d2f\u79ef\u3001\u66f2\u9762\u4f53\u79ef<br \/>\nAI\u7528\u9014&#xff1a;\u56fe\u7247\u5377\u79ef\u3001\u4e8c\u7ef4\u6982\u7387\u3001\u5e73\u9762\u635f\u5931<\/li>\n<li>\u4e09\u91cd\u79ef\u5206&#xff08;3D&#xff09;<br \/>\n\u7ef4\u5ea6&#xff1a;\u4f53<br \/>\n\u529f\u80fd&#xff1a;\u7acb\u4f53\u5168\u57df\u7d2f\u79ef\u3001\u603b\u8d28\u91cf\u3001\u603b\u8bef\u5dee<br \/>\nAI\u7528\u9014&#xff1a;\u4e09\u7ef4\u5f20\u91cf\u30013D\u89c6\u89c9\u3001\u9ad8\u7ef4\u751f\u6210\u6a21\u578b<\/li>\n<p>\u516b\u3001\u8bfe\u540e\u6df1\u5ea6\u601d\u8003\u9898&#xff08;AI\u5411\u3001\u62d4\u9ad8\u601d\u7ef4&#xff09;<br \/>\n4. \u5927\u6a21\u578b\u53c2\u6570\u7a7a\u95f4\u662f\u8fdc\u8d85\u4e09\u7ef4\u7684\u9ad8\u7ef4\u7a7a\u95f4&#xff0c;\u4e3a\u4ec0\u4e48\u6211\u4eec\u5b66\u5b8c1\/2\/3\u91cd\u79ef\u5206&#xff0c;\u5c31\u80fd\u4e3e\u4e00\u53cd\u4e09\u7406\u89e3\u8d85\u9ad8\u7ef4\u79ef\u5206\u903b\u8f91&#xff1f;<br \/>\n5. \u4e3a\u4ec0\u4e48\u56fe\u50cf\u6a21\u578b\u7528\u4e8c\u91cd\u79ef\u5206\u8db3\u591f&#xff0c;\u4e09\u7ef4\u89c6\u89c9\u6a21\u578b\u5fc5\u987b\u7528\u5230\u4e09\u91cd\u79ef\u5206\u601d\u7ef4&#xff1f;<br \/>\n6. \u7ed3\u5408\u524d\u9762\u68af\u5ea6\u4e0b\u964d&#043;\u62c9\u683c\u6717\u65e5&#043;\u4e09\u91cd\u79ef\u5206&#xff0c;\u7528\u4e00\u53e5\u8bdd\u603b\u7ed3&#xff1a;AI\u8bad\u7ec3\u300c\u627e\u65b9\u5411\u3001\u5b9a\u8fb9\u754c\u3001\u7b97\u5168\u5c40\u8bef\u5dee\u300d\u5206\u522b\u5bf9\u5e94\u4ec0\u4e48\u6570\u5b66\u5de5\u5177&#xff1f;<\/p>\n<p>\u4ee5\u4e0a\u662f\u4e09\u91cd\u79ef\u5206\u7684\u6570\u5b66\u5b9a\u4e49\u3002<br \/>\n\u90a3\u4e48\u4e09\u91cd\u79ef\u5206\u5728\u5927\u6a21\u578b\u8bad\u7ec3\u4e2d\u7684\u4f5c\u7528\u662f\u4ec0\u4e48&#xff1f;<\/p>\n<p>\u4e00\u3001\u5148\u533a\u5206&#xff1a;\u4ec0\u4e48\u65f6\u5019\u624d\u9700\u8981\u4e09\u91cd\u79ef\u5206&#xff1f;<br \/>\n\u53ea\u8981\u95ee\u9898\u540c\u65f6\u67093\u4e2a\u72ec\u7acb\u8fde\u7eed\u81ea\u53d8\u91cf&#xff0c;\u8981\u5728\u4e09\u7ef4\u4f53\u79ef\u91cc\u505a\u603b\u91cf\u3001\u671f\u671b\u3001\u6982\u7387\u7d2f\u79ef&#xff0c;\u5c31\u5fc5\u987b\u7528\u4e09\u91cd\u79ef\u5206&#xff1a;<\/p>\n<li>\u4e00\u7ef4&#xff1a;\u4ec5\u6a21\u578b\u53c2\u6570\u6cbf\u65f6\u95f4\u8fed\u4ee3&#xff1b;\u4e8c\u91cd&#xff1a;\u5e73\u9762\u635f\u5931\u66f2\u9762&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u4e09\u91cd&#xff1a;\u7a7a\u95f4\u5750\u6807(x,y,z)&#043;\u7269\u7406\u5c5e\u6027&#xff0c;\u4e09\u4e2a\u8fde\u7eed\u53d8\u91cf\u540c\u65f6\u53c2\u4e0e\u8ba1\u7b97\u3002<\/li>\n<p>\u4e8c\u3001AI\u5927\u6a21\u578b\u91cc5\u7c7b\u6838\u5fc3\u5e94\u7528\u573a\u666f<\/p>\n<li>3D\u8ba1\u7b97\u673a\u89c6\u89c9\u5927\u6a21\u578b&#xff08;\u6700\u76f4\u89c2\u843d\u5730\u573a\u666f&#xff09;<\/li>\n<p>\u4e09\u7ef4\u70b9\u4e91\u3001NeRF\u795e\u7ecf\u8f90\u5c04\u573a\u30013D\u751f\u6210\u5927\u6a21\u578b&#xff08;3D\u9ad8\u65af\u6e85\u5c04\u3001\u5de5\u4e1a\u4e09\u7ef4\u68c0\u6d4b&#xff09;<\/p>\n<ul>\n<li>\u4e09\u7ef4\u573a\u666f\u91cc\u6bcf\u4e2a\u7a7a\u95f4\u70b9\u5750\u6807(x,y,z)\u662f\u4e09\u4e2a\u81ea\u53d8\u91cf&#xff0c;\u4f53\u5bc6\u5ea6\u3001\u989c\u8272\u3001\u900f\u660e\u5ea6\u662ff(x,y,z)&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u4e09\u91cd\u79ef\u5206\u6cbf\u4e09\u7ef4\u4f53\u79ef\u79ef\u5206&#xff1a;\u628a\u7a7a\u95f4\u6240\u6709\u5fae\u5c0f\u4f53\u5143\u7684\u5149\u5b66\u5c5e\u6027\u7d2f\u52a0&#xff0c;\u7b97\u51fa\u76f8\u673a\u89c6\u89d2\u4e0b\u6700\u7ec8\u6210\u50cf\u50cf\u7d20\u503c&#xff1b;<br \/>\n\u200b<\/li>\n<li>NeRF\u6838\u5fc3\u539f\u7406&#xff1a;\u5bf9\u573a\u666f\u6574\u4e2a\u4e09\u7ef4\u4f53\u79ef\u505a\u4e09\u91cd\u79ef\u5206\u6e32\u67d3\u51fa2D\u56fe\u50cf&#xff0c;\u8fd9\u662f3D\u751f\u6210\u5927\u6a21\u578b\u7684\u6570\u5b66\u6839\u57fa&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u5de5\u4e1a\u573a\u666f&#xff1a;\u9020\u8239\u4e09\u7ef4\u8231\u5ba4\u5efa\u6a21\u3001\u8bbe\u5907\u4e09\u7ef4\u7f3a\u9677\u68c0\u6d4b\u5927\u6a21\u578b&#xff0c;\u7528\u4e09\u91cd\u79ef\u5206\u7edf\u8ba1\u4f53\u79ef\u3001\u6750\u8d28\u5360\u6bd4\u3001\u7f3a\u9677\u603b\u4f53\u79ef\u3002<\/li>\n<\/ul>\n<li>\u9ad8\u7ef4\u6982\u7387\u671f\u671b\u4e0e\u7406\u8bba\u635f\u5931\u5206\u6790<br \/>\n\u5927\u6a21\u578b\u53c2\u6570\u662f\u9ad8\u7ef4\u5411\u91cf&#xff0c;\u53d6\u5176\u4e2d3\u4e2a\u5173\u952e\u8026\u5408\u53c2\u6570\u6784\u6210\u4e09\u7ef4\u53c2\u6570\u7a7a\u95f4&#xff1a;<\/li>\n<ul>\n<li>\u4e09\u91cd\u79ef\u5206 &#061; \u5728\u4e09\u7ef4\u53c2\u6570\u4f53\u79ef\u5185&#xff0c;\u79ef\u5206\u8ba1\u7b97\u5168\u5c40\u671f\u671b\u635f\u5931\u3001\u5e73\u5747\u68af\u5ea6\u5927\u5c0f&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u7406\u8bba\u7814\u7a76\u8005\u7528\u4e09\u91cd\u79ef\u5206\u8bc1\u660e&#xff1a;\u53c2\u6570\u5728\u67d0\u4e09\u7ef4\u5b50\u7a7a\u95f4\u5185\u7684\u5206\u5e03\u7279\u6027\u3001\u5c40\u90e8\u6700\u4f18\u89e3\u7684\u4f53\u79ef\u5360\u6bd4&#xff0c;\u89e3\u91ca\u68af\u5ea6\u4e0b\u964d\u4f1a\u4e0d\u4f1a\u9677\u5165\u5c40\u90e8\u5751&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u8d1d\u53f6\u65af\u5927\u6a21\u578b&#xff1a;3\u4e2a\u8d85\u53c2\u6570\u8054\u5408\u540e\u9a8c\u6982\u7387&#xff0c;\u4e09\u91cd\u79ef\u5206\u6c42\u8fb9\u7f18\u6982\u7387\u3001\u6574\u4f53\u7f6e\u4fe1\u533a\u95f4\u3002<\/li>\n<\/ul>\n<li>\u7269\u7406 informed AI&#xff08;\u7269\u7406\u4fe1\u606f\u795e\u7ecf\u7f51\u7edcPINN&#xff0c;\u5de5\u4e1aAI\u5e38\u7528&#xff09;<br \/>\n\u9020\u8239\u6d41\u4f53\u4eff\u771f\u3001\u70ed\u573a\u4eff\u771f\u3001\u50a8\u80fd\u6e29\u5ea6\u573a\u5927\u6a21\u578b&#xff1a;<\/li>\n<ul>\n<li>\u7a7a\u95f4(x,y,z)\u4e09\u7ef4\u5750\u6807&#xff0c;\u6e29\u5ea6\/\u6d41\u901f\u4e3a\u573a\u51fd\u6570&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u4e09\u91cd\u79ef\u5206\u8ba1\u7b97&#xff1a;\u6574\u4f53\u70ed\u91cf\u603b\u91cf\u3001\u6d41\u4f53\u603b\u8d28\u91cf\u3001\u8231\u5ba4\u6563\u70ed\u603b\u529f\u7387&#xff1b;<br \/>\n\u200b<\/li>\n<li>PINN\u628a\u4e09\u91cd\u79ef\u5206\u7ea6\u675f\u5d4c\u5165\u635f\u5931\u51fd\u6570&#xff0c;\u8ba9AI\u9884\u6d4b\u7ed3\u679c\u5fc5\u987b\u6ee1\u8db3\u7269\u7406\u5b88\u6052\u5b9a\u5f8b&#xff0c;\u6bd4\u7eaf\u6570\u636e\u8bad\u7ec3\u7cbe\u5ea6\u66f4\u9ad8\u3001\u6cdb\u5316\u6027\u66f4\u5f3a\u3002<\/li>\n<\/ul>\n<li>\u91c7\u6837\u7b97\u6cd5\u4e0e\u8499\u7279\u5361\u6d1b\u79ef\u5206\u4f18\u5316<\/li>\n<p>\u5927\u6a21\u578b\u590d\u6742\u4e09\u7ef4\u7a7a\u95f4\u91c7\u6837&#xff08;3D\u573a\u666f\u91c7\u6837\u3001\u4e09\u7ef4\u53c2\u6570\u7a7a\u95f4\u91c7\u6837&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u89e3\u6790\u6cd5\u4e09\u91cd\u79ef\u5206\u5f88\u96be\u7b97&#xff0c;AI\u7528\u8499\u7279\u5361\u6d1b\u6570\u503c\u4e09\u91cd\u79ef\u5206&#xff1a;\u968f\u673a\u5728\u4e09\u7ef4\u4f53\u79ef\u5185\u91c7\u6837\u5927\u91cf\u70b9&#xff0c;\u52a0\u6743\u5e73\u5747\u8fd1\u4f3c\u79ef\u5206\u7ed3\u679c&#xff1b;<br \/>\n\u200b<\/li>\n<li>3D\u5927\u6a21\u578b\u8bad\u7ec3\u65f6\u6d77\u91cf\u7a7a\u95f4\u91c7\u6837&#xff0c;\u672c\u8d28\u5c31\u662f\u79bb\u6563\u7248\u4e09\u91cd\u79ef\u5206\u7684\u6570\u503c\u8fd1\u4f3c&#xff0c;\u964d\u4f4e\u76f4\u63a5\u89e3\u6790\u8ba1\u7b97\u7684\u7b97\u529b\u7206\u70b8\u95ee\u9898\u3002<\/li>\n<\/ul>\n<li>\u9ad8\u7ef4\u79ef\u5206\u964d\u7ef4\u94fa\u57ab&#xff08;\u5947\u5f02\u503c\u5206\u89e3\u3001\u7ebf\u6027\u4ee3\u6570&#xff0c;\u540e\u7eed\u6211\u4f1a\u8bb2&#xff09;<\/li>\n<p>\u5927\u6a21\u578b\u52a8\u8f84\u767e\u4e07\u7ef4\u53c2\u6570&#xff0c;\u65e0\u6cd5\u76f4\u63a5\u505a\u767e\u4e07\u91cd\u79ef\u5206&#xff1a;<\/p>\n<ul>\n<li>\u79d1\u7814\u4e2d\u5e38\u5148\u622a\u53d6\u4e09\u7ef4\u6838\u5fc3\u5b50\u7a7a\u95f4&#xff0c;\u7528\u4e09\u91cd\u79ef\u5206\u5206\u6790\u5c40\u90e8\u7279\u6027&#xff0c;\u518d\u7528SVD\/SVD\u964d\u7ef4\u63a8\u5e7f\u81f3\u9ad8\u7ef4&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u4e09\u91cd\u79ef\u5206\u662f\u9ad8\u7ef4\u79ef\u5206\u7684\u201c\u6700\u5c0f\u4e09\u7ef4\u6837\u677f\u201d&#xff0c;\u591a\u53d8\u91cf\u4f53\u79ef\u79ef\u5206\u3001\u7ef4\u5ea6\u589e\u52a0\u540e\u79ef\u5206\u590d\u6742\u5ea6\u66b4\u6da8\u7684\u89c4\u5f8b\u3002<\/li>\n<\/ul>\n<p>\u4e09\u3001\u4e0e\u524d\u51e0\u8bfe\u5df2\u5b66\u77e5\u8bc6\u70b9\u4e32\u8054&#xff08;\u6253\u901a\u77e5\u8bc6\u7f51&#xff09;<\/p>\n<li>\u4e00\u5143\u79ef\u5206&#xff1a;\u5355\u53d8\u91cf\u635f\u5931\u968f\u8fed\u4ee3\u7d2f\u79ef&#xff1b;\u4e8c\u91cd\u79ef\u5206&#xff1a;\u4e8c\u7ef4\u635f\u5931\u66f2\u9762\u9762\u79ef&#xff1b;\u4e09\u91cd\u79ef\u5206&#xff1a;\u4e09\u7ef4\u53c2\u6570\/\u7269\u7406\u7a7a\u95f4\u7684\u4f53\u79ef\u7d2f\u79ef&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u68af\u5ea6\u4e0b\u964d&#xff1a;\u4e8c\u7ef4\u5e73\u9762\u6cbf\u8d1f\u68af\u5ea6\u8d70&#xff1b;\u4e09\u7ef4\u573a\u666fAI\u91cc&#xff0c;\u68af\u5ea6\u62d3\u5c55\u5230\u4e09\u7ef4\u7a7a\u95f4\u5411\u91cf\u573a&#xff0c;\u4e09\u91cd\u79ef\u5206\u7edf\u8ba1\u7a7a\u95f4\u6574\u4f53\u6548\u679c&#xff1b;<br \/>\n\u200b<\/li>\n<li>SVD\u964d\u7ef4&#xff1a;\u628a\u9ad8\u7ef4\u7a7a\u95f4\u6295\u5f71\u5230\u4e09\u7ef4\u5b50\u7a7a\u95f4\u540e&#xff0c;\u5c31\u53ef\u4ee5\u7528\u4e09\u91cd\u79ef\u5206\u505a\u5b9a\u91cf\u5206\u6790&#xff1b;<br \/>\n\u200b<\/li>\n<li>\u52a8\u529b\u7cfb\u7edf\/\u5e38\u5fae\u5206\u65b9\u7a0b&#xff1a;\u4e09\u7ef4\u52a8\u529b\u7cfb\u7edf\u7684\u5168\u5c40\u6f14\u5316\u603b\u91cf&#xff0c;\u4f9d\u9760\u4e09\u91cd\u79ef\u5206\u5b8c\u6210\u5168\u5c40\u7edf\u8ba1\u3002<\/li>\n<p>\u56db\u3001\u5173\u952e\u8bef\u533a\u6f84\u6e05<br \/>\n5. 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