{"id":39965,"date":"2025-04-07T22:02:25","date_gmt":"2025-04-07T14:02:25","guid":{"rendered":"https:\/\/17aitech.com\/?p=39965"},"modified":"2025-04-07T22:02:25","modified_gmt":"2025-04-07T14:02:25","slug":"%e5%8f%8d%e5%90%91%e4%bc%a0%e6%92%ad%e3%80%81%e5%89%8d%e5%90%91%e4%bc%a0%e6%92%ad%e9%83%bd%e4%b8%8d%e8%a6%81%ef%bc%8c%e8%bf%99%e7%a7%8d%e6%97%a0%e6%a2%af%e5%ba%a6%e5%ad%a6%e4%b9%a0%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=39965","title":{"rendered":"\u53cd\u5411\u4f20\u64ad\u3001\u524d\u5411\u4f20\u64ad\u90fd\u4e0d\u8981\uff0c\u8fd9\u79cd\u65e0\u68af\u5ea6\u5b66\u4e60\u65b9\u6cd5\u662fHinton\u60f3\u8981\u7684\u5417\uff1f"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-04-07-7\" target=\"_blank\">\u53cd\u5411\u4f20\u64ad\u3001\u524d\u5411\u4f20\u64ad\u90fd\u4e0d\u8981\uff0c\u8fd9\u79cd\u65e0\u68af\u5ea6\u5b66\u4e60\u65b9\u6cd5\u662fHinton\u60f3\u8981\u7684\u5417\uff1f<\/a><\/p>\n<section>\n<blockquote>\n<p><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"margin-left: 8px; margin-right: 8px; text-align: justify; margin-bottom: 0px; line-height: 1.75em;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>Noprop\uff1a\u6ca1\u6709\u53cd\u5411\u4f20\u64ad\u6216\u524d\u5411\u4f20\u64ad\uff0c\u4e5f\u80fd\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u3002<\/span><\/p>\n<\/blockquote>\n<\/section>\n<p>\u300c\u6211\u4eec\u5e94\u8be5\u629b\u5f03\u53cd\u5411\u4f20\u64ad\u5e76\u91cd\u65b0\u5f00\u59cb\u3002\u300d\u65e9\u5728\u51e0\u5e74\u524d\uff0c\u4f7f\u53cd\u5411\u4f20\u64ad\u6210\u4e3a\u6df1\u5ea6\u5b66\u4e60\u6838\u5fc3\u6280\u672f\u4e4b\u4e00\u7684 Geoffrey Hinton \u5c31\u53d1\u8868\u8fc7\u8fd9\u6837\u4e00\u4e2a\u89c2\u70b9\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2999d61767161241533ac7900907c76e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2999d61767161241533ac7900907c76e.png\"><\/a><\/p>\n<p>\u800c\u4e00\u76f4\u5bf9\u53cd\u5411\u4f20\u64ad\u6301\u6000\u7591\u6001\u5ea6\u7684\u4e5f\u662f Hinton\u3002\u56e0\u4e3a\u8fd9\u79cd\u65b9\u6cd5\u65e2\u4e0d\u7b26\u5408\u751f\u7269\u5b66\u673a\u7406\uff0c\u4e0e\u5927\u89c4\u6a21\u6a21\u578b\u7684\u5e76\u884c\u6027\u4e5f\u4e0d\u517c\u5bb9\u3002\u6240\u4ee5\uff0cHinton \u7b49\u4eba\u4e00\u76f4\u5728\u5bfb\u627e\u66ff\u4ee3\u53cd\u5411\u4f20\u64ad\u7684\u65b0\u65b9\u6cd5\uff0c\u6bd4\u5982 2022 \u5e74\u7684\u524d\u5411 &#8211; \u524d\u5411\u7b97\u6cd5\u3002\u4f46\u7531\u4e8e\u6027\u80fd\u3001\u53ef\u6cdb\u5316\u6027\u7b49\u65b9\u9762\u4ecd\u7136\u5b58\u5728\u95ee\u9898\uff0c\u8fd9\u4e00\u65b9\u5411\u7684\u63a2\u7d22\u4e00\u76f4\u6ca1\u6709\u592a\u5927\u8d77\u8272\u3002<\/p>\n<p>\u6700\u8fd1\uff0c\u6765\u81ea\u725b\u6d25\u5927\u5b66\u548c Mila \u5b9e\u9a8c\u5ba4\u7684\u7814\u7a76\u8005\u5411\u8fd9\u4e00\u95ee\u9898\u53d1\u8d77\u4e86\u6311\u6218\u3002\u4ed6\u4eec\u5f00\u53d1\u4e86\u4e00\u79cd\u540d\u4e3a NoProp \u7684\u65b0\u578b\u5b66\u4e60\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u65e2\u4e0d\u4f9d\u8d56\u524d\u5411\u4f20\u64ad\u4e5f\u4e0d\u4f9d\u8d56\u53cd\u5411\u4f20\u64ad\u3002\u76f8\u53cd\uff0cNoProp \u4ece\u6269\u6563\u548c\u6d41\u5339\u914d\uff08flow matching\uff09\u65b9\u6cd5\u4e2d\u6c72\u53d6\u7075\u611f\uff0c\u6bcf\u4e00\u5c42\u72ec\u7acb\u5730\u5b66\u4e60\u5bf9\u566a\u58f0\u76ee\u6807\u8fdb\u884c\u53bb\u566a\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-14f4d48c504185e65cf30fd6c0ea3b20.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-14f4d48c504185e65cf30fd6c0ea3b20.png\"><\/a><\/p>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aNOPROP: TRAINING NEURAL NETWORKS WITHOUT BACK-PROPAGATION OR FORWARD-PROPAGATION<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/pdf\/2503.24322v1\u00a0<\/p>\n<\/li>\n<\/ul>\n<p>\u7814\u7a76\u4eba\u5458\u8ba4\u4e3a\u8fd9\u9879\u5de5\u4f5c\u8fc8\u51fa\u4e86\u5f15\u5165\u4e00\u79cd\u65b0\u578b\u65e0\u68af\u5ea6\u5b66\u4e60\u65b9\u6cd5\u7684\u7b2c\u4e00\u6b65\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u5b66\u4e60\u5206\u5c42\u8868\u793a \u2014\u2014 \u81f3\u5c11\u4e0d\u662f\u901a\u5e38\u610f\u4e49\u4e0a\u7684\u5206\u5c42\u8868\u793a\u3002NoProp \u9700\u8981\u9884\u5148\u5c06\u6bcf\u4e00\u5c42\u7684\u8868\u793a\u56fa\u5b9a\u4e3a\u76ee\u6807\u7684\u5e26\u566a\u58f0\u7248\u672c\uff0c\u5b66\u4e60\u4e00\u4e2a\u5c40\u90e8\u53bb\u566a\u8fc7\u7a0b\uff0c\u7136\u540e\u53ef\u4ee5\u5728\u63a8\u7406\u65f6\u5229\u7528\u8fd9\u4e00\u8fc7\u7a0b\u3002<\/p>\n<p>\u4ed6\u4eec\u5728 MNIST\u3001CIFAR-10 \u548c CIFAR-100 \u56fe\u50cf\u5206\u7c7b\u57fa\u51c6\u6d4b\u8bd5\u4e0a\u5c55\u793a\u4e86\u8be5\u65b9\u6cd5\u7684\u6709\u6548\u6027\u3002\u7814\u7a76\u7ed3\u679c\u8868\u660e\uff0cNoProp \u662f\u4e00\u79cd\u53ef\u884c\u7684\u5b66\u4e60\u7b97\u6cd5\uff0c\u4e0e\u5176\u4ed6\u73b0\u6709\u7684\u65e0\u53cd\u5411\u4f20\u64ad\u65b9\u6cd5\u76f8\u6bd4\uff0c\u5b83\u5b9e\u73b0\u4e86\u66f4\u9ad8\u7684\u51c6\u786e\u7387\uff0c\u66f4\u6613\u4e8e\u4f7f\u7528\u4e14\u8ba1\u7b97\u6548\u7387\u66f4\u9ad8\u3002\u901a\u8fc7\u6446\u8131\u4f20\u7edf\u7684\u57fa\u4e8e\u68af\u5ea6\u7684\u5b66\u4e60\u8303\u5f0f\uff0cNoProp \u6539\u53d8\u4e86\u7f51\u7edc\u5185\u90e8\u7684\u8d21\u732e\u5206\u914d\uff08credit assignment\uff09\u65b9\u5f0f\uff0c\u5b9e\u73b0\u4e86\u66f4\u9ad8\u6548\u7684\u5206\u5e03\u5f0f\u5b66\u4e60\uff0c\u5e76\u53ef\u80fd\u5f71\u54cd\u5b66\u4e60\u8fc7\u7a0b\u7684\u5176\u4ed6\u7279\u6027\u3002<\/p>\n<p>\u5728\u770b\u4e86\u8bba\u6587\u4e4b\u540e\uff0c\u6709\u4eba\u8868\u793a\uff0c\u300cNoProp \u7528\u72ec\u7acb\u7684\u3001\u65e0\u68af\u5ea6\u7684\u3001\u57fa\u4e8e\u53bb\u566a\u7684\u5c42\u8bad\u7ec3\u53d6\u4ee3\u4e86\u4f20\u7edf\u7684\u53cd\u5411\u4f20\u64ad\uff0c\u4ee5\u5b9e\u73b0\u9ad8\u6548\u4e14\u975e\u5c42\u6b21\u5316\u7684\u8d21\u732e\u5206\u914d\u3002\u8fd9\u662f\u4e00\u9879\u5177\u6709\u5f00\u521b\u6027\u610f\u4e49\u7684\u5de5\u4f5c\uff0c\u53ef\u80fd\u4f1a\u5bf9\u5206\u5e03\u5f0f\u5b66\u4e60\u7cfb\u7edf\u4ea7\u751f\u91cd\u5927\u5f71\u54cd\uff0c\u56e0\u4e3a\u5b83\u4ece\u6839\u672c\u4e0a\u6539\u53d8\u4e86\u8d21\u732e\u5206\u914d\u673a\u5236\u3002<\/p>\n<p>\u5176\u6570\u5b66\u516c\u5f0f\u4e2d\u6d89\u53ca\u6bcf\u5c42\u7279\u5b9a\u7684\u566a\u58f0\u6a21\u578b\u548c\u4f18\u5316\u76ee\u6807\uff0c\u8fd9\u4f7f\u5f97\u65e0\u9700\u68af\u5ea6\u94fe\u5373\u53ef\u8fdb\u884c\u72ec\u7acb\u5b66\u4e60\u3002\u5176\u4f18\u52bf\u5728\u4e8e\u901a\u8fc7\u8ba9\u6bcf\u4e00\u5c42\u72ec\u7acb\u5730\u5bf9\u4e00\u4e2a\u56fa\u5b9a\u7684\u566a\u58f0\u76ee\u6807\u8fdb\u884c\u53bb\u566a\uff0c\u4ece\u800c\u7ed5\u8fc7\u4e86\u53cd\u5411\u4f20\u64ad\u4e2d\u57fa\u4e8e\u987a\u5e8f\u68af\u5ea6\u7684\u8d21\u732e\u5206\u914d\u65b9\u5f0f\u3002\u8fd9\u79cd\u65b9\u5f0f\u80fd\u591f\u5b9e\u73b0\u66f4\u9ad8\u6548\u3001\u53ef\u5e76\u884c\u5316\u7684\u66f4\u65b0\uff0c\u907f\u514d\u4e86\u68af\u5ea6\u6d88\u5931\u7b49\u95ee\u9898\uff0c\u5c3d\u7ba1\u5b83\u5e76\u672a\u6784\u5efa\u4f20\u7edf\u7684\u5c42\u6b21\u5316\u8868\u793a\u3002\u300d<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2770e48508410473584a50b3c899d1da.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2770e48508410473584a50b3c899d1da.png\"><\/a><\/p>\n<p>\u8fd8\u6709\u4eba\u8868\u793a\uff0c\u300c\u6211\u5728\u67e5\u770b\u6269\u6563\u6a21\u578b\u67b6\u6784\u65f6\u4e5f\u4ea7\u751f\u8fc7\u8fd9\u6837\u7684\u60f3\u6cd5\u2026\u2026 \u7136\u800c\uff0c\u6211\u8ba4\u4e3a\u8fd9\u53ef\u80fd\u662f\u4e00\u79cd\u975e\u6700\u4f18\u7684\u65b9\u6cd5\uff0c\u6240\u4ee5\u5b83\u73b0\u5728\u8868\u73b0\u5f97\u5982\u6b64\u51fa\u8272\u8ba9\u6211\u611f\u5230\u5f88\u795e\u79d8\u3002\u663e\u800c\u6613\u89c1\u7684\u662f\u5176\u5e76\u884c\u5316\u4f18\u52bf\u3002\u300d<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-db7a5b993667c32bfa739125af47a160.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-db7a5b993667c32bfa739125af47a160.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-e3e4f9fc1726a299503a92f7a80d0020.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-e3e4f9fc1726a299503a92f7a80d0020.png\"><\/a><\/p>\n<p><strong>\u4e3a\u4ec0\u4e48\u8981\u5bfb\u627e\u53cd\u5411\u4f20\u64ad\u7684\u66ff\u4ee3\u65b9\u6848\uff1f <\/strong><\/p>\n<p>\u53cd\u5411\u4f20\u64ad\u867d\u662f\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u7684\u4e3b\u6d41\u65b9\u6cd5\uff0c\u4f46\u7814\u7a76\u4eba\u5458\u4e00\u76f4\u5728\u5bfb\u627e\u66ff\u4ee3\u65b9\u6848\uff0c\u539f\u56e0\u6709\u4e09\uff1a<\/p>\n<ol>\n<li>\n<p>\u751f\u7269\u5b66\u5408\u7406\u6027\u4e0d\u8db3\uff1a\u53cd\u5411\u4f20\u64ad\u9700\u8981\u524d\u5411\u4f20\u9012\u548c\u540e\u5411\u4f20\u9012\u4e25\u683c\u4ea4\u66ff\uff0c\u4e0e\u751f\u7269\u795e\u7ecf\u7cfb\u7edf\u8fd0\u4f5c\u65b9\u5f0f\u4e0d\u7b26\u3002<\/p>\n<\/li>\n<li>\n<p>\u5185\u5b58\u6d88\u8017\u5927\uff1a\u5fc5\u987b\u5b58\u50a8\u4e2d\u95f4\u6fc0\u6d3b\u503c\u4ee5\u8ba1\u7b97\u68af\u5ea6\uff0c\u9020\u6210\u663e\u8457\u5185\u5b58\u5f00\u9500\u3002<\/p>\n<\/li>\n<li>\n<p>\u5e76\u884c\u8ba1\u7b97\u53d7\u9650\uff1a\u68af\u5ea6\u7684\u987a\u5e8f\u4f20\u64ad\u9650\u5236\u4e86\u5e76\u884c\u5904\u7406\u80fd\u529b\uff0c\u5f71\u54cd\u5927\u89c4\u6a21\u5206\u5e03\u5f0f\u5b66\u4e60\uff0c\u5e76\u5bfc\u81f4\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u7684\u5e72\u6270\u548c\u707e\u96be\u6027\u9057\u5fd8\u95ee\u9898\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u76ee\u524d\u4e3a\u6b62\uff0c\u53cd\u5411\u4f20\u64ad\u7684\u66ff\u4ee3\u4f18\u5316\u65b9\u6cd5\u5305\u62ec\uff1a<\/p>\n<ul>\n<li>\n<p>\u65e0\u68af\u5ea6\u65b9\u6cd5\uff1a\u5982\u76f4\u63a5\u641c\u7d22\u65b9\u6cd5\u548c\u57fa\u4e8e\u6a21\u578b\u7684\u65b9\u6cd5<\/p>\n<\/li>\n<li>\n<p>\u96f6\u9636\u68af\u5ea6\u65b9\u6cd5\uff1a\u4f7f\u7528\u6709\u9650\u5dee\u5206\u8fd1\u4f3c\u68af\u5ea6<\/p>\n<\/li>\n<li>\n<p>\u8fdb\u5316\u7b56\u7565<\/p>\n<\/li>\n<li>\n<p>\u57fa\u4e8e\u5c40\u90e8\u635f\u5931\u7684\u65b9\u6cd5\uff1a\u5982\u5dee\u5f02\u76ee\u6807\u4f20\u64ad\uff08difference target propagation\uff09\u548c\u524d\u5411 &#8211; \u524d\u5411\u7b97\u6cd5<\/p>\n<\/li>\n<\/ul>\n<p>\u4f46\u8fd9\u4e9b\u65b9\u6cd5\u56e0\u5728\u51c6\u786e\u6027\u3001\u8ba1\u7b97\u6548\u7387\u3001\u53ef\u9760\u6027\u548c\u53ef\u6269\u5c55\u6027\u65b9\u9762\u7684\u9650\u5236\uff0c\u5c1a\u672a\u5728\u795e\u7ecf\u7f51\u7edc\u5b66\u4e60\u4e2d\u5e7f\u6cdb\u5e94\u7528\u3002<\/p>\n<p><strong>\u65b9\u6cd5\u89e3\u6790<\/strong><\/p>\n<p><strong>NoProp <\/strong><\/p>\n<p>\u8bbe x \u548c y \u662f\u5206\u7c7b\u6570\u636e\u96c6\u4e2d\u7684\u4e00\u4e2a\u8f93\u5165 &#8211; \u6807\u7b7e\u6837\u672c\u5bf9\uff0c\u5047\u8bbe\u4ece\u6570\u636e\u5206\u5e03 q\u2080(x,y) \u4e2d\u62bd\u53d6\uff0cz\u2080,z\u2081,&#8230;,z\u209c \u2208 R\u1d48 \u662f\u795e\u7ecf\u7f51\u7edc\u4e2d T \u4e2a\u6a21\u5757\u7684\u5bf9\u5e94\u968f\u673a\u4e2d\u95f4\u6fc0\u6d3b\u503c\uff0c\u76ee\u6807\u662f\u8bad\u7ec3\u8be5\u7f51\u7edc\u4ee5\u4f30\u8ba1 q\u2080(y|x)\u3002<\/p>\n<p>\u5b9a\u4e49\u4e24\u4e2a\u5206\u5e03 p \u548c q\uff0c\u6309\u4ee5\u4e0b\u65b9\u5f0f\u5206\u89e3\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-20eff1729b4d57b2eae4564b721befea.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-20eff1729b4d57b2eae4564b721befea.png\"><\/a><\/p>\n<p>p \u5206\u5e03\u53ef\u4ee5\u88ab\u89e3\u91ca\u4e3a\u4e00\u4e2a\u968f\u673a\u524d\u5411\u4f20\u64ad\u8fc7\u7a0b\uff0c\u5b83\u8fed\u4ee3\u5730\u8ba1\u7b97\u4e0b\u4e00\u4e2a\u6fc0\u6d3b\u503c z\u209c\uff0c\u7ed9\u5b9a\u524d\u4e00\u4e2a\u6fc0\u6d3b\u503c z\u209c\u208b\u2081 \u548c\u8f93\u5165 x\u3002\u5b9e\u9645\u4e0a\uff0c\u53ef\u4ee5\u770b\u5230\u5b83\u53ef\u4ee5\u88ab\u660e\u786e\u8868\u793a\u4e3a\u4e00\u4e2a\u6dfb\u52a0\u4e86\u9ad8\u65af\u566a\u58f0\u7684\u6b8b\u5dee\u7f51\u7edc\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-448d04f0ba53f9f412b5abf8f052ca2d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-448d04f0ba53f9f412b5abf8f052ca2d.png\"><\/a><\/p>\n<p>\u5176\u4e2d N\u1d48(\u30fb|0,1) \u662f\u4e00\u4e2a d \u7ef4\u9ad8\u65af\u5bc6\u5ea6\u51fd\u6570\uff0c\u5747\u503c\u5411\u91cf\u4e3a 0\uff0c\u534f\u65b9\u5dee\u77e9\u9635\u4e3a\u5355\u4f4d\u77e9\u9635\uff0ca\u209c,b\u209c,c\u209c \u662f\u6807\u91cf\uff08\u5982\u4e0b\u6240\u793a\uff09\uff0cb\u209cz\u209c\u208b\u2081 \u662f\u4e00\u4e2a\u52a0\u6743\u8df3\u8dc3\u8fde\u63a5\uff0c\u800c \u00fb\u03b8\u209c(z\u209c\u208b\u2081,x) \u662f\u7531\u53c2\u6570 \u03b8\u209c \u53c2\u6570\u5316\u7684\u6b8b\u5dee\u5757\u3002\u6ce8\u610f\uff0c\u8fd9\u79cd\u8ba1\u7b97\u7ed3\u6784\u4e0d\u540c\u4e8e\u6807\u51c6\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\uff0c\u540e\u8005\u6ca1\u6709\u4ece\u8f93\u5165 x \u5230\u6bcf\u4e2a\u6a21\u5757\u7684\u76f4\u63a5\u8fde\u63a5\u3002\u9075\u5faa\u53d8\u5206\u6269\u6563\u6a21\u578b\u65b9\u6cd5\uff0c\u4e5f\u53ef\u4ee5\u5c06 p \u89e3\u91ca\u4e3a\u7ed9\u5b9a x \u6761\u4ef6\u4e0b y \u7684\u6761\u4ef6\u9690\u53d8\u91cf\u6a21\u578b\uff0c\u5176\u4e2d z\u209c \u662f\u4e00\u7cfb\u5217\u9690\u53d8\u91cf\u3002\u53ef\u4ee5\u4f7f\u7528\u53d8\u5206\u516c\u5f0f\u5b66\u4e60\u524d\u5411\u8fc7\u7a0b p\uff0c\u5176\u4e2d q \u5206\u5e03\u4f5c\u4e3a\u53d8\u5206\u540e\u9a8c\u3002\u5173\u6ce8\u7684\u76ee\u6807\u662f ELBO\uff0c\u8fd9\u662f\u5bf9\u6570\u4f3c\u7136 log p (y|x)\uff08\u5373\u8bc1\u636e\uff09\u7684\u4e0b\u754c\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6eb540591b9f0bd0f2e426b505408aff.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6eb540591b9f0bd0f2e426b505408aff.png\"><\/a><\/p>\n<p>\u9075\u5faa Sohl-Dickstein \u548c Kingma \u7b49\u4eba\u7684\u65b9\u6cd5\uff0c\u5c06\u53d8\u5206\u540e\u9a8c q \u56fa\u5b9a\u4e3a\u4e00\u4e2a\u6613\u4e8e\u5904\u7406\u7684\u9ad8\u65af\u5206\u5e03\u3002\u5728\u8fd9\u91cc\u4f7f\u7528\u65b9\u5dee\u4fdd\u6301\u7684 Ornstein-Uhlenbeck \u8fc7\u7a0b\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-ce22ffdde302b6a46fde6010efe38467.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-ce22ffdde302b6a46fde6010efe38467.png\"><\/a><\/p>\n<p>\u5176\u4e2d u\u1d67 \u662f\u7c7b\u522b\u6807\u7b7e y \u5728 R\u1d48 \u4e2d\u7684\u5d4c\u5165\uff0c\u7531\u53ef\u8bad\u7ec3\u7684\u5d4c\u5165\u77e9\u9635 W (Embed) \u2208 R\u1d50\u02e3\u1d48 \u5b9a\u4e49\uff0cm \u662f\u7c7b\u522b\u6570\u91cf\u3002\u5d4c\u5165\u7531 u\u1d67 = {W (Embed)}\u1d67 \u7ed9\u51fa\u3002\u5229\u7528\u9ad8\u65af\u5206\u5e03\u7684\u6807\u51c6\u6027\u8d28\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-8c85c6aeb9c02e3fa4fe96bd5952060b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-8c85c6aeb9c02e3fa4fe96bd5952060b.png\"><\/a><\/p>\n<p>\u5176\u4e2d \u1fb1\u209c = \u220f\u209b\u208c\u209c\u1d40\u03b1\u209b\uff0c\u03bc\u209c(z\u209c\u208b\u2081,u\u1d67) = a\u209cu\u1d67 + b\u209cz\u209c\u208b\u2081\uff0ca\u209c = \u221a(\u1fb1\u209c(1-\u03b1\u209c\u208b\u2081))\/(1-\u1fb1\u209c\u208b\u2081)\uff0cb\u209c = \u221a(\u03b1\u209c\u208b\u2081(1-\u1fb1\u209c))\/(1-\u1fb1\u209c\u208b\u2081)\uff0c\u4ee5\u53ca c\u209c = (1-\u1fb1\u209c)(1-\u03b1\u209c\u208b\u2081)\/(1-\u1fb1\u209c\u208b\u2081)\u3002\u4e3a\u4e86\u4f18\u5316 ELBO\uff0c\u5c06 p \u53c2\u6570\u5316\u4ee5\u5339\u914d q \u7684\u5f62\u5f0f\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f04764a55c311108c31575d068d27146.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f04764a55c311108c31575d068d27146.png\"><\/a><\/p>\n<p>\u5176\u4e2d p (z\u2080) \u88ab\u9009\u4e3a Ornstein-Uhlenbeck \u8fc7\u7a0b\u7684\u5e73\u7a33\u5206\u5e03\uff0c\u00fb\u03b8\u209c(z\u209c\u208b\u2081,x) \u662f\u7531\u53c2\u6570 \u03b8\u209c \u53c2\u6570\u5316\u7684\u795e\u7ecf\u7f51\u7edc\u6a21\u5757\u3002\u7ed9\u5b9a z\u209c\u208b\u2081 \u548c x \u5bf9 z\u209c \u8fdb\u884c\u91c7\u6837\u7684\u7ed3\u679c\u8ba1\u7b97\u5982\u6b8b\u5dee\u67b6\u6784\uff08\u65b9\u7a0b 3\uff09\u6240\u793a\uff0c\u5176\u4e2d a\u209c,b\u209c,c\u209c \u5982\u4e0a\u6240\u8ff0\u3002\u6700\u540e\uff0c\u5c06\u6b64\u53c2\u6570\u5316\u4ee3\u5165 ELBO\uff08\u65b9\u7a0b 4\uff09\u5e76\u7b80\u5316\uff0c\u5f97\u5230 NoProp \u76ee\u6807\u51fd\u6570\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-922afa1057723272ca9f7464a7a912c3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-922afa1057723272ca9f7464a7a912c3.png\"><\/a><\/p>\n<p>\u5176\u4e2d SNR (t) = \u1fb1\u209c\/(1-\u1fb1\u209c) \u662f\u4fe1\u566a\u6bd4\uff0c\u03b7 \u662f\u4e00\u4e2a\u8d85\u53c2\u6570\uff0cU {1,T} \u662f\u5728\u6574\u6570 1,&#8230;,T \u4e0a\u7684\u5747\u5300\u5206\u5e03\u3002\u6211\u4eec\u770b\u5230\u6bcf\u4e2a \u00fb\u03b8\u209c(z\u209c\u208b\u2081,x) \u90fd\u88ab\u8bad\u7ec3\u4e3a\u76f4\u63a5\u9884\u6d4b u\u1d67\uff0c\u7ed9\u5b9a z\u209c\u208b\u2081 \u548c x\uff0c\u4f7f\u7528 L2 \u635f\u5931\uff0c\u800c p\u0302\u03b8out (y|z\u209c) \u88ab\u8bad\u7ec3\u4e3a\u6700\u5c0f\u5316\u4ea4\u53c9\u71b5\u635f\u5931\u3002\u6bcf\u4e2a\u6a21\u5757 \u00fb\u03b8\u209c(z\u209c\u208b\u2081,x) \u90fd\u662f\u72ec\u7acb\u8bad\u7ec3\u7684\uff0c\u8fd9\u662f\u5728\u6ca1\u6709\u901a\u8fc7\u7f51\u7edc\u8fdb\u884c\u524d\u5411\u6216\u53cd\u5411\u4f20\u64ad\u7684\u60c5\u51b5\u4e0b\u5b9e\u73b0\u7684\u3002<\/p>\n<p><strong>\u5b9e\u73b0\u7ec6\u8282<\/strong><\/p>\n<p>NoProp \u67b6\u6784\u5982\u56fe 1 \u6240\u793a\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-8ed3cf2a9c6c5a499fd80ed2c982d0a2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-8ed3cf2a9c6c5a499fd80ed2c982d0a2.png\"><\/a><\/p>\n<p>\u5728\u63a8\u7406\u9636\u6bb5\uff0cNoProp \u67b6\u6784\u4ece\u9ad8\u65af\u566a\u58f0 z\u2080\u5f00\u59cb\uff0c\u901a\u8fc7\u4e00\u7cfb\u5217\u6269\u6563\u6b65\u9aa4\u8f6c\u6362\u6f5c\u53d8\u91cf\u3002\u6bcf\u4e2a\u6b65\u9aa4\u4e2d\uff0c\u6f5c\u53d8\u91cf z\u209c\u901a\u8fc7\u6269\u6563\u52a8\u6001\u5757 u\u209c\u6f14\u5316\uff0c\u5f62\u6210\u5e8f\u5217 z\u2081\u2192z\u2082\u2192&#8230;\u2192z\u209c\uff0c\u5176\u4e2d\u6bcf\u4e2a u\u209c\u90fd\u4ee5\u524d\u4e00\u72b6\u6001 z\u209c\u208b\u2081\u548c\u8f93\u5165\u56fe\u50cf x \u4e3a\u6761\u4ef6\u3002\u6700\u7ec8\uff0cz\u209c\u901a\u8fc7\u7ebf\u6027\u5c42\u548c softmax \u51fd\u6570\u6620\u5c04\u4e3a\u9884\u6d4b\u6807\u7b7e\u0177\u3002<\/p>\n<p>\u8bad\u7ec3\u65f6\uff0c\u5404\u65f6\u95f4\u6b65\u9aa4\u88ab\u91c7\u6837\uff0c\u6bcf\u4e2a\u6269\u6563\u5757 u\u209c\u72ec\u7acb\u8bad\u7ec3\uff0c\u540c\u65f6\u7ebf\u6027\u5c42\u548c\u5d4c\u5165\u77e9\u9635\u4e0e\u6269\u6563\u5757\u5171\u540c\u4f18\u5316\u4ee5\u9632\u6b62\u7c7b\u522b\u5d4c\u5165\u5d29\u6e83\u3002\u5bf9\u4e8e\u6d41\u5339\u914d\u53d8\u4f53\uff0cu\u209c\u8868\u793a ODE \u52a8\u6001\uff0c\u6807\u7b7e\u9884\u6d4b\u901a\u8fc7\u5bfb\u627e\u4e0e z\u209c\u5728\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\u4e0a\u6700\u63a5\u8fd1\u7684\u7c7b\u522b\u5d4c\u5165\u83b7\u5f97\u3002<\/p>\n<p>\u8bad\u7ec3\u6240\u7528\u7684\u6a21\u578b\u5982\u56fe 6 \u6240\u793a\uff0c\u5176\u4e2d\u5de6\u8fb9\u4e3a\u79bb\u6563\u65f6\u95f4\u60c5\u51b5\u7684\u6a21\u578b\uff0c\u53f3\u8fb9\u4e3a\u8fde\u7eed\u65f6\u95f4\u60c5\u51b5\u7684\u6a21\u578b\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-874ce996d79e9acb1ee2e703e7e0bd1b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-874ce996d79e9acb1ee2e703e7e0bd1b.png\"><\/a><\/p>\n<p>\u4f5c\u8005\u5728\u4e09\u79cd\u60c5\u51b5\u4e0b\u6784\u5efa\u4e86\u76f8\u4f3c\u4f46\u6709\u533a\u522b\u7684\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\uff1a<\/p>\n<ol>\n<li>\n<p>\u79bb\u6563\u65f6\u95f4\u6269\u6563\uff1a\u795e\u7ecf\u7f51\u7edc \u00fb\u03b8t \u5c06\u56fe\u50cf x \u548c\u6f5c\u53d8\u91cf zt\u22121 \u901a\u8fc7\u4e0d\u540c\u5d4c\u5165\u8def\u5f84\u5904\u7406\u540e\u5408\u5e76\u3002\u56fe\u50cf\u7528\u5377\u79ef\u6a21\u5757\u5904\u7406\uff0c\u6f5c\u53d8\u91cf\u6839\u636e\u7ef4\u5ea6\u5339\u914d\u60c5\u51b5\u7528\u5377\u79ef\u6216\u5168\u8fde\u63a5\u7f51\u7edc\u5904\u7406\u3002\u5408\u5e76\u540e\u7684\u8868\u793a\u901a\u8fc7\u5168\u8fde\u63a5\u5c42\u4ea7\u751f logits\uff0c\u5e94\u7528 softmax \u540e\u5f97\u5230\u7c7b\u522b\u5d4c\u5165\u4e0a\u7684\u6982\u7387\u5206\u5e03\uff0c\u6700\u7ec8\u8f93\u51fa\u4e3a\u7c7b\u522b\u5d4c\u5165\u7684\u52a0\u6743\u548c\u3002<\/p>\n<\/li>\n<li>\n<p>\u8fde\u7eed\u65f6\u95f4\u6269\u6563\uff1a\u5728\u79bb\u6563\u6a21\u578b\u57fa\u7840\u4e0a\u589e\u52a0\u65f6\u95f4\u6233 t \u4f5c\u4e3a\u8f93\u5165\uff0c\u4f7f\u7528\u4f4d\u7f6e\u5d4c\u5165\u7f16\u7801\u5e76\u4e0e\u5176\u4ed6\u7279\u5f81\u5408\u5e76\uff0c\u6574\u4f53\u7ed3\u6784\u4e0e\u79bb\u6563\u60c5\u51b5\u76f8\u4f3c\u3002<\/p>\n<\/li>\n<li>\n<p>\u6d41\u5339\u914d\uff1a\u67b6\u6784\u4e0e\u8fde\u7eed\u65f6\u95f4\u6269\u6563\u76f8\u540c\uff0c\u4f46\u4e0d\u5e94\u7528 softmax \u9650\u5236\uff0c\u5141\u8bb8 v\u0302\u03b8 \u8868\u793a\u5d4c\u5165\u7a7a\u95f4\u4e2d\u7684\u4efb\u610f\u65b9\u5411\uff0c\u800c\u975e\u4ec5\u9650\u4e8e\u7c7b\u522b\u5d4c\u5165\u7684\u51f8\u7ec4\u5408\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u6240\u6709\u6a21\u578b\u5747\u4f7f\u7528\u7ebf\u6027\u5c42\u52a0 softmax \u6765\u53c2\u6570\u5316\u76f8\u5e94\u65b9\u7a0b\u4e2d\u7684\u6761\u4ef6\u6982\u7387\u5206\u5e03\u3002<\/p>\n<p>\u5bf9\u4e8e\u79bb\u6563\u65f6\u95f4\u6269\u6563\uff0c\u4f5c\u8005\u4f7f\u7528\u56fa\u5b9a\u4f59\u5f26\u566a\u58f0\u8c03\u5ea6\u3002\u5bf9\u4e8e\u8fde\u7eed\u65f6\u95f4\u6269\u6563\uff0c\u4f5c\u8005\u5c06\u566a\u58f0\u8c03\u5ea6\u4e0e\u6a21\u578b\u5171\u540c\u8bad\u7ec3\u3002<\/p>\n<p><strong>\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/p>\n<p>\u4f5c\u8005\u5bf9 NoProp \u65b9\u6cd5\u8fdb\u884c\u4e86\u8bc4\u4f30\uff0c\u5206\u522b\u5728\u79bb\u6563\u65f6\u95f4\u8bbe\u7f6e\u4e0b\u4e0e\u53cd\u5411\u4f20\u64ad\u65b9\u6cd5\u8fdb\u884c\u6bd4\u8f83\uff0c\u5728\u8fde\u7eed\u65f6\u95f4\u8bbe\u7f6e\u4e0b\u4e0e\u4f34\u968f\u654f\u611f\u6027\u65b9\u6cd5\uff08adjoint sensitivity method\uff09\u8fdb\u884c\u6bd4\u8f83\uff0c\u573a\u666f\u662f\u56fe\u50cf\u5206\u7c7b\u4efb\u52a1\u3002<\/p>\n<p>\u7ed3\u679c\u5982\u8868 1 \u6240\u793a\uff0c\u8868\u660e NoProp-DT \u5728\u79bb\u6563\u65f6\u95f4\u8bbe\u7f6e\u4e0b\u5728 MNIST\u3001CIFAR-10 \u548c CIFAR-100 \u6570\u636e\u96c6\u4e0a\u7684\u6027\u80fd\u4e0e\u53cd\u5411\u4f20\u64ad\u65b9\u6cd5\u76f8\u5f53\uff0c\u751a\u81f3\u66f4\u597d\u3002\u6b64\u5916\uff0cNoProp-DT \u5728\u6027\u80fd\u4e0a\u4f18\u4e8e\u4ee5\u5f80\u7684\u65e0\u53cd\u5411\u4f20\u64ad\u65b9\u6cd5\uff0c\u5305\u62ec Forward-Forward \u7b97\u6cd5\u3001Difference Target \u4f20\u64ad\u4ee5\u53ca\u4e00\u79cd\u79f0\u4e3a Local Greedy Forward Gradient Activity-Perturbed \u7684\u524d\u5411\u68af\u5ea6\u65b9\u6cd5\u3002\u867d\u7136\u8fd9\u4e9b\u65b9\u6cd5\u4f7f\u7528\u4e86\u4e0d\u540c\u7684\u67b6\u6784\uff0c\u5e76\u4e14\u4e0d\u50cf NoProp \u90a3\u6837\u663e\u5f0f\u5730\u5bf9\u56fe\u50cf\u8f93\u5165\u8fdb\u884c\u6761\u4ef6\u7ea6\u675f \u2014\u2014 \u8fd9\u4f7f\u5f97\u76f4\u63a5\u6bd4\u8f83\u53d8\u5f97\u56f0\u96be \u2014\u2014 \u4f46 NoProp \u5177\u6709\u4e0d\u4f9d\u8d56\u524d\u5411\u4f20\u64ad\u7684\u72ec\u7279\u4f18\u52bf\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-18932e9b82e5877e08d6e0e8eaaafbe2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-18932e9b82e5877e08d6e0e8eaaafbe2.png\"><\/a><\/p>\n<p>\u6b64\u5916\uff0c\u5982\u8868 2 \u6240\u793a\uff0cNoProp \u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u51cf\u5c11\u4e86 GPU \u5185\u5b58\u6d88\u8017\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-4e61f90c423934b5d68208818016b74d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-4e61f90c423934b5d68208818016b74d.png\"><\/a><\/p>\n<p>\u4e3a\u4e86\u8bf4\u660e\u5b66\u4e60\u5230\u7684\u7c7b\u522b\u5d4c\u5165\uff0c\u56fe 2 \u53ef\u89c6\u5316\u4e86 CIFAR-10 \u6570\u636e\u96c6\u4e2d\u7c7b\u522b\u5d4c\u5165\u7684\u521d\u59cb\u5316\u548c\u6700\u7ec8\u5b66\u4e60\u7ed3\u679c\uff0c\u5176\u4e2d\u5d4c\u5165\u7ef4\u5ea6\u4e0e\u56fe\u50cf\u7ef4\u5ea6\u5339\u914d\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-d1510e03dcc8f3cb1b93b237958c6a84.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-d1510e03dcc8f3cb1b93b237958c6a84.png\"><\/a><\/p>\n<p>\u5728\u8fde\u7eed\u65f6\u95f4\u8bbe\u7f6e\u4e0b\uff0cNoProp-CT \u548c NoProp-FM \u7684\u51c6\u786e\u7387\u4f4e\u4e8e NoProp-DT\uff0c\u8fd9\u53ef\u80fd\u662f\u7531\u4e8e\u5b83\u4eec\u5bf9\u65f6\u95f4\u53d8\u91cf t \u7684\u989d\u5916\u6761\u4ef6\u7ea6\u675f\u3002\u7136\u800c\uff0c\u5b83\u4eec\u5728 CIFAR-10 \u548c CIFAR-100 \u6570\u636e\u96c6\u4e0a\u901a\u5e38\u4f18\u4e8e\u4f34\u968f\u654f\u611f\u6027\u65b9\u6cd5\uff0c\u65e0\u8bba\u662f\u5728\u51c6\u786e\u7387\u8fd8\u662f\u8ba1\u7b97\u6548\u7387\u65b9\u9762\u3002\u867d\u7136\u4f34\u968f\u65b9\u6cd5\u5728 MNIST \u6570\u636e\u96c6\u4e0a\u8fbe\u5230\u4e86\u4e0e NoProp-CT \u548c NoProp-FM \u76f8\u4f3c\u7684\u51c6\u786e\u7387\uff0c\u4f46\u5176\u8bad\u7ec3\u901f\u5ea6\u660e\u663e\u8f83\u6162\uff0c\u5982\u56fe 3 \u6240\u793a\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-bab81b3622c0d2a3851a0e41dedef855.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-bab81b3622c0d2a3851a0e41dedef855.png\"><\/a><\/p>\n<p>\u5bf9\u4e8e CIFAR-100 \u6570\u636e\u96c6\uff0c\u5f53\u4f7f\u7528 one-hot \u7f16\u7801\u65f6\uff0cNoProp-FM \u65e0\u6cd5\u6709\u6548\u5b66\u4e60\uff0c\u5bfc\u81f4\u51c6\u786e\u7387\u63d0\u5347\u975e\u5e38\u7f13\u6162\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0cNoProp-CT \u4ecd\u7136\u4f18\u4e8e\u4f34\u968f\u65b9\u6cd5\u3002\u7136\u800c\uff0c\u4e00\u65e6\u7c7b\u522b\u5d4c\u5165\u4e0e\u6a21\u578b\u8054\u5408\u5b66\u4e60\uff0cNoProp-FM \u7684\u6027\u80fd\u663e\u8457\u63d0\u9ad8\u3002<\/p>\n<p>\u4f5c\u8005\u8fd8\u5bf9\u7c7b\u522b\u6982\u7387<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6040a96c21c87414f307a08800243a9b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6040a96c21c87414f307a08800243a9b.png\"><\/a>\u7684\u53c2\u6570\u5316\u548c\u7c7b\u522b\u5d4c\u5165\u77e9\u9635 W_Embed \u7684\u521d\u59cb\u5316\u8fdb\u884c\u4e86\u6d88\u878d\u7814\u7a76\uff0c\u7ed3\u679c\u5206\u522b\u5982\u56fe 4 \u548c\u56fe 5 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src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-cfc48a02b5ad457e32f15782a9f04039.png\"><\/a><\/p>\n<p>\u66f4\u591a\u8be6\u7ec6\u5185\u5bb9\u8bf7\u53c2\u89c1\u539f\u8bba\u6587\u3002<\/p>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-04-07-7\" target=\"_blank\">\u53cd\u5411\u4f20\u64ad\u3001\u524d\u5411\u4f20\u64ad\u90fd\u4e0d\u8981\uff0c\u8fd9\u79cd\u65e0\u68af\u5ea6\u5b66\u4e60\u65b9\u6cd5\u662fHinton\u60f3\u8981\u7684\u5417\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:\u53cd\u5411\u4f20\u64ad\u3001\u524d\u5411\u4f20\u64ad\u90fd\u4e0d 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