{"id":38746,"date":"2025-02-22T08:01:43","date_gmt":"2025-02-22T00:01:43","guid":{"rendered":"https:\/\/17aitech.com\/?p=38746"},"modified":"2025-02-22T08:01:43","modified_gmt":"2025-02-22T00:01:43","slug":"%e5%86%8d%e6%ac%a1%e9%a2%a0%e8%a6%86%e5%ad%a6%e7%95%8c%e6%83%b3%e8%b1%a1%ef%bc%8c%e4%bd%95%e6%81%ba%e6%98%8e%e5%8f%91%e8%a1%a8%e6%96%b0%e4%bd%9c%ef%bc%9a%e6%89%a9%e6%95%a3%e6%a8%a1%e5%9e%8b%e4%b8%8d","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=38746","title":{"rendered":"\u518d\u6b21\u98a0\u8986\u5b66\u754c\u60f3\u8c61\uff0c\u4f55\u607a\u660e\u53d1\u8868\u65b0\u4f5c\uff1a\u6269\u6563\u6a21\u578b\u4e0d\u4e00\u5b9a\u9700\u8981\u566a\u58f0\u6761\u4ef6"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-02-21-2\" target=\"_blank\">\u518d\u6b21\u98a0\u8986\u5b66\u754c\u60f3\u8c61\uff0c\u4f55\u607a\u660e\u53d1\u8868\u65b0\u4f5c\uff1a\u6269\u6563\u6a21\u578b\u4e0d\u4e00\u5b9a\u9700\u8981\u566a\u58f0\u6761\u4ef6<\/a><\/p>\n<section>\u4e00\u76f4\u4ee5\u6765\uff0c\u7814\u7a76\u8005\u666e\u904d\u8ba4\u4e3a\uff0c\u53bb\u566a\u6269\u6563\u6a21\u578b\u8981\u60f3\u6210\u529f\u8fd0\u884c\uff0c\u566a\u58f0\u6761\u4ef6\u662f\u5fc5\u4e0d\u53ef\u5c11\u7684\u3002<\/section>\n<section><\/section>\n<section>\u800c\u5927\u795e\u4f55\u607a\u660e\u7684\u4e00\u9879\u6700\u65b0\u7814\u7a76\uff0c\u5bf9\u8fd9\u4e2a\u89c2\u70b9\u63d0\u51fa\u4e86\u300c\u8d28\u7591\u300d\u3002<\/section>\n<section><\/section>\n<section>\u300c\u53d7\u56fe\u50cf\u76f2\u53bb\u566a\u7814\u7a76\u7684\u542f\u53d1\uff0c\u6211\u4eec\u7814\u7a76\u4e86\u5404\u79cd\u57fa\u4e8e\u53bb\u566a\u7684\u751f\u6210\u6a21\u578b\u5728\u6ca1\u6709\u566a\u58f0\u8c03\u8282\u7684\u60c5\u51b5\u4e0b\u7684\u8868\u73b0\u3002\u51fa\u4e4e\u6211\u4eec\u610f\u6599\u7684\u662f\uff0c\u5927\u591a\u6570\u6a21\u578b\u90fd\u8868\u73b0\u51fa\u4e86\u4f18\u7f8e\u7684\u9000\u5316\uff0c\u5b83\u4eec\u751a\u81f3\u5728\u6ca1\u6709\u566a\u58f0\u6761\u4ef6\u7684\u60c5\u51b5\u4e0b\u8868\u73b0\u5f97\u66f4\u597d\u3002\u300d<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fd97e42726328910195ab0c513d3a9d5.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-fd97e42726328910195ab0c513d3a9d5.png\"><\/a><\/section>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aIs Noise Conditioning Necessary for Denoising Generative Models?<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2502.13129<\/p>\n<\/li>\n<\/ul>\n<section>\u7814\u7a76\u8005\u5bf9\u8fd9\u4e9b\u6a21\u578b\u5728\u65e0\u566a\u58f0\u6761\u4ef6\u60c5\u51b5\u4e0b\u7684\u884c\u4e3a\u8fdb\u884c\u4e86\u7406\u8bba\u5206\u6790\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u4ed6\u4eec\u7814\u7a76\u4e86\u566a\u58f0\u6c34\u5e73\u5206\u5e03\u4e2d\u56fa\u6709\u7684\u4e0d\u786e\u5b9a\u6027\u3001\u5728\u6ca1\u6709\u566a\u58f0\u6761\u4ef6\u7684\u60c5\u51b5\u4e0b\u53bb\u566a\u6240\u9020\u6210\u7684\u8bef\u5dee\u4ee5\u53ca\u8fed\u4ee3\u91c7\u6837\u5668\u4e2d\u7684\u7d2f\u79ef\u8bef\u5dee\u3002\u7efc\u5408\u8fd9\u4e9b\u56e0\u7d20\uff0c\u63d0\u51fa\u4e86\u4e00\u4e2a\u8bef\u5dee\u8fb9\u754c\uff0c\u8be5\u8bef\u5dee\u8fb9\u754c\u7684\u8ba1\u7b97\u65e0\u9700\u4efb\u4f55\u8bad\u7ec3\uff0c\u5b8c\u5168\u53d6\u51b3\u4e8e\u566a\u58f0\u6761\u4ef6\u548c\u6570\u636e\u96c6\u3002<\/section>\n<section><\/section>\n<section>\u5b9e\u9a8c\u8868\u660e\uff0c\u8fd9\u4e2a\u8bef\u5dee\u8fb9\u754c\u4e0e\u6240\u7814\u7a76\u7684\u6a21\u578b\u7684\u566a\u58f0 &#8211; \u65e0\u6761\u4ef6\u884c\u4e3a\u6709\u5f88\u597d\u7684\u76f8\u5173\u6027\uff0c\u7279\u522b\u662f\u5728\u6a21\u578b\u51fa\u73b0\u707e\u96be\u6027\u5931\u8d25\u7684\u60c5\u51b5\u4e0b\uff0c\u5176\u8bef\u5dee\u8fb9\u754c\u8981\u9ad8\u51fa\u51e0\u4e2a\u6570\u91cf\u7ea7\u3002<\/section>\n<section><\/section>\n<section>\u7531\u4e8e\u566a\u58f0 &#8211; \u65e0\u6761\u4ef6\u6a21\u578b\u5f88\u5c11\u88ab\u8003\u8651\uff0c\u4e13\u95e8\u4e3a\u8fd9\u79cd\u672a\u5145\u5206\u63a2\u7d22\u7684\u60c5\u51b5\u8bbe\u8ba1\u6a21\u578b\u662f\u6709\u4ef7\u503c\u7684\u3002\u4e3a\u6b64\uff0c\u7814\u7a76\u8005\u4ece EDM \u6a21\u578b\u4e2d\u63d0\u51fa\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u66ff\u4ee3\u65b9\u6848\u3002\u5728\u6ca1\u6709\u566a\u58f0\u6761\u4ef6\u7684\u60c5\u51b5\u4e0b\uff0c\u8be5\u53d8\u4f53\u53ef\u4ee5\u5b9e\u73b0\u5f88\u5f3a\u7684\u6027\u80fd\uff0c\u5728 CIFAR10 \u6570\u636e\u96c6\u4e0a\u7684 FID \u5f97\u5206\u8fbe\u5230 2.23\u3002\u8fd9\u4e00\u7ed3\u679c\u5927\u5927\u7f29\u5c0f\u4e86\u566a\u58f0 &#8211; \u65e0\u6761\u4ef6\u7cfb\u7edf\u4e0e\u566a\u58f0 &#8211; \u6761\u4ef6\u7cfb\u7edf\u4e4b\u95f4\u7684\u5dee\u8ddd\uff08\u4f8b\u5982\uff0cEDM \u7684 FID \u4e3a 1.97\uff09\u3002<\/section>\n<section><\/section>\n<section>\u5173\u4e8e\u672a\u6765\uff0c\u7814\u7a76\u8005\u5e0c\u671b\u6d88\u9664\u566a\u58f0\u6761\u4ef6\u5c06\u4e3a\u57fa\u4e8e\u53bb\u566a\u7684\u751f\u6210\u6a21\u578b\u7684\u65b0\u8fdb\u5c55\u94fa\u5e73\u9053\u8def\uff0c\u6fc0\u52b1\u4e1a\u754c\u91cd\u65b0\u5ba1\u89c6\u76f8\u5173\u65b9\u6cd5\u7684\u57fa\u672c\u539f\u7406\uff0c\u5e76\u63a2\u7d22\u53bb\u566a\u751f\u6210\u6a21\u578b\u9886\u57df\u7684\u65b0\u65b9\u5411\u3002\u4f8b\u5982\uff0c\u53ea\u6709\u5728\u6ca1\u6709\u566a\u58f0\u6761\u4ef6\u7684\u60c5\u51b5\u4e0b\uff0c\u57fa\u4e8e\u5206\u6570\u7684\u6a21\u578b\u624d\u80fd\u5b66\u4e60\u5230\u72ec\u7279\u7684\u5206\u6570\u51fd\u6570\uff0c\u5e76\u5b9e\u73b0\u7ecf\u5178\u7684\u3001\u57fa\u4e8e\u7269\u7406\u5b66\u7684\u6717\u683c\u6587\u52a8\u529b\u5b66\u3002<\/section>\n<section><\/section>\n<section>\u5bf9\u4e8e\u8fd9\u9879\u65b0\u7814\u7a76\uff0c\u6709\u4eba\u8bc4\u8bba\u79f0\uff1a\u6211\u4eec\u82b1\u4e86\u6570\u5e74\u65f6\u95f4\u6765\u5b8c\u5584\u566a\u58f0\u6761\u4ef6\u6280\u672f\uff0c\u5230\u5934\u6765\u5374\u53d1\u73b0\u5373\u4f7f\u6ca1\u6709\u566a\u58f0\u6761\u4ef6\uff0c\u6a21\u578b\u540c\u6837\u80fd\u8fd0\u884c\u5f97\u5f88\u597d\u3002\u6240\u4ee5\uff0c\u79d1\u5b66\u5176\u5b9e\u5c31\u662f\u5229\u7528\u989d\u5916\u6570\u5b66\u7684\u53cd\u590d\u8bd5\u9519\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-446cd1df7900f74797dc282f6815d047.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-446cd1df7900f74797dc282f6815d047.png\"><\/a><\/section>\n<section><strong>\u53bb\u566a\u751f\u6210\u6a21\u578b\u7684\u91cd\u6784<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u63d0\u51fa\u4e86\u4e00\u79cd\u53ef\u4ee5\u603b\u7ed3\u5404\u79cd\u53bb\u566a\u751f\u6210\u6a21\u578b\u8bad\u7ec3\u548c\u91c7\u6837\u8fc7\u7a0b\u7684\u91cd\u6784\uff08reformulation\uff09\uff0c\u6838\u5fc3\u52a8\u673a\u662f\u9694\u79bb\u795e\u7ecf\u7f51\u7edc NN_\u03b8\uff0c\u4ece\u800c\u4e13\u6ce8\u4e8e\u5176\u5728\u566a\u58f0\u6761\u4ef6\u65b9\u9762\u7684\u884c\u4e3a\u3002<\/section>\n<section><\/section>\n<section>\u9996\u5148\u6765\u770b\u53bb\u566a\u751f\u6210\u6a21\u578b\u7684\u8bad\u7ec3\u76ee\u6807\u3002\u5728\u8bad\u7ec3\u671f\u95f4\uff0c\u4ece\u6570\u636e\u5206\u5e03 p (x) \u4e2d\u91c7\u6837\u4e00\u4e2a\u6570\u636e\u70b9 x\uff0c\u5e76\u4ece\u566a\u58f0\u5206\u5e03 p (\u03f5)\uff08\u4f8b\u5982\u6b63\u6001\u5206\u5e03 N (0, I)\uff09\u4e2d\u91c7\u6837\u566a\u58f0 \u03f5\u3002\u566a\u58f0\u56fe\u50cf z \u7531\u4ee5\u4e0b\u516c\u5f0f\u5f97\u51fa\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-288506a40268b3be76aad9f5bb5c37c6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-288506a40268b3be76aad9f5bb5c37c6.png\"><\/a><\/section>\n<section>\u4e00\u822c\u6765\u8bf4\uff0c\u53bb\u566a\u751f\u6210\u6a21\u578b\u6d89\u53ca\u6700\u5c0f\u5316\u635f\u5931\u51fd\u6570\uff0c\u8be5\u51fd\u6570\u53ef\u4ee5\u5199\u6210\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7ec845df9e555a55ae60035047ce5bc7.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-7ec845df9e555a55ae60035047ce5bc7.png\"><\/a><\/section>\n<section>\u73b0\u6709\u51e0\u79cd\u65b9\u6cd5\uff08iDDPM\u3001DDIM\u3001EDM \u548c FM\uff09\u7684\u8c03\u5ea6\u51fd\u6570\u5177\u4f53\u5982\u4e0b\u8868 1 \u6240\u793a\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5728\u7814\u7a76\u8005\u7684\u91cd\u6784\u4e2d\uff0c\u4ed6\u4eec\u5173\u6ce8\u7684\u662f\u56de\u5f52\u76ee\u6807 r \u4e0e\u795e\u7ecf\u7f51\u7edc NN_\u03b8 \u76f4\u63a5\u8f93\u51fa\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-aa28dab7c5053d04efe4e47c1648d884.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-aa28dab7c5053d04efe4e47c1648d884.png\"><\/a><\/section>\n<section>\u5176\u6b21\u662f\u91c7\u6837\u3002\u7ed9\u5b9a\u8bad\u7ec3\u597d\u7684 NN_\u03b8\uff0c\u91c7\u6837\u5668\u8fed\u4ee3\u5730\u8fdb\u884c\u53bb\u566a\u3002\u5177\u4f53\u6765\u8bb2\uff0c\u5bf9\u4e8e\u521d\u59cb\u566a\u58f0 x_0 \uff5e \u00a0N (0, b (t_max)^2I)\uff0c\u91c7\u6837\u5668\u8fed\u4ee3\u5730\u8ba1\u7b97\u5982\u4e0b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-055bc515b4b77d9e819513695219b045.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-055bc515b4b77d9e819513695219b045.png\"><\/a><\/section>\n<section>\u6700\u540e\u662f\u566a\u58f0\u6761\u4ef6\u7f51\u7edc\u3002\u5728\u73b0\u6709\u65b9\u6cd5\u4e2d\uff0c\u795e\u7ecf\u7f51\u7edc NN_\u03b8(z|t) \u4ee5 t \u6307\u5b9a\u7684\u566a\u58f0\u6c34\u5e73\u4e3a\u6761\u4ef6\uff0c\u5177\u4f53\u53ef\u4ee5\u53c2\u89c1\u56fe 1\uff08\u5de6\uff09\u3002<\/section>\n<section><\/section>\n<section>\u540c\u65f6\uff0ct-embedding \u63d0\u4f9b\u65f6\u95f4\u7ea7\u4fe1\u606f\u4f5c\u4e3a\u7f51\u7edc\u989d\u5916\u8f93\u5165\u3002\u672c\u6587\u7684\u7814\u7a76\u6d89\u53ca\u8fd9\u79cd\u566a\u58f0\u6761\u4ef6\u7684\u5f71\u54cd\uff0c\u5373\u8003\u8651\u4e86 NN_\u03b8(z) \u548c NN_\u03b8(z|t)\uff0c\u53c2\u89c1\u56fe 1\uff08\u53f3\uff09\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-cea8f9ba50cdf399b4184b9b685dbba8.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-cea8f9ba50cdf399b4184b9b685dbba8.png\"><\/a><\/section>\n<section><strong>\u65e0\u566a\u58f0\u6761\u4ef6\u6a21\u578b<\/strong><\/section>\n<section><\/section>\n<section>\u57fa\u4e8e\u4e0a\u8ff0\u91cd\u6784\uff0c\u7814\u7a76\u8005\u5bf9\u6d88\u9664\u566a\u58f0\u6761\u4ef6\u7684\u5f71\u54cd\u8fdb\u884c\u4e86\u7406\u8bba\u5206\u6790\uff0c\u5176\u4e2d\u6d89\u53ca\u5230\u4e86\u8bad\u7ec3\u76ee\u6807\u548c\u91c7\u6837\u8fc7\u7a0b\u3002\u4ed6\u4eec\u9996\u5148\u5206\u6790\u4e86\u8bad\u7ec3\u9636\u6bb5\u7684\u6709\u6548\u56de\u5f52\u76ee\u6807\u548c\u5355\u4e2a\u53bb\u566a\u6b65\u9aa4\u4e2d\u7684\u8bef\u5dee\uff0c\u7136\u540e\u7ed9\u51fa\u4e86\u8fed\u4ee3\u91c7\u6837\u5668\u4e2d\u7d2f\u79ef\u8bef\u5dee\u7684\u4e0a\u9650\u3002<\/section>\n<section><\/section>\n<section><strong>\u6709\u6548\u76ee\u6807\u00a0<\/strong><\/section>\n<section><\/section>\n<section>\u5f62\u5f0f\u4e0a\uff0c\u4f18\u5316\u516c\u5f0f (2) \u4e2d\u7684\u635f\u5931\u7b49\u540c\u4e8e\u4f18\u5316\u4ee5\u4e0b\u635f\u5931\uff0c\u5176\u4e2d\u9884\u671f E [\u30fb] \u4e2d\u7684\u6bcf\u4e2a\u9879\u90fd\u6709\u5bf9\u5e94\u7684\u552f\u4e00\u6709\u6548\u76ee\u6807\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2a4c6170f3bf4c058571f70011fccc8a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2a4c6170f3bf4c058571f70011fccc8a.png\"><\/a><\/section>\n<section>\u5bf9\u4e8e\u65e0\u566a\u58f0\u6761\u4ef6\u7684\u6709\u6548\u76ee\u6807\uff0c\u540c\u6837\u5730\uff0c\u5982\u679c\u7f51\u7edc NN_\u03b8(z) \u4e0d\u63a5\u53d7 t \u4f5c\u4e3a\u6761\u4ef6\uff0c\u5219\u5176\u552f\u4e00\u7684\u6709\u6548\u76ee\u6807 R (z) \u5e94\u8be5\u4ec5\u53d6\u51b3\u4e8eZ\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u635f\u5931\u4e3a\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f3b7b4bbece41321ef8d27a7f8fa39a1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-f3b7b4bbece41321ef8d27a7f8fa39a1.png\"><\/a><\/section>\n<section>\u552f\u4e00\u6709\u6548\u76ee\u6807\u5982\u4e0b\uff1a<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-71c5bd7cc81962e49c3aad4241b235a2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-71c5bd7cc81962e49c3aad4241b235a2.png\"><\/a><\/p>\n<section><strong>\u540e\u9a8c\u96c6\u4e2d p (t|z)<\/strong><\/section>\n<section><\/section>\n<section>\u63a5\u4e0b\u6765\uff0c\u7814\u7a76\u8005\u63a2\u7a76\u4e86 p (t|z) \u4e0e\u72c4\u62c9\u514b \u03b4 \u51fd\u6570\u7684\u76f8\u4f3c\u5ea6\u3002\u5bf9\u4e8e\u56fe\u50cf\u7b49\u9ad8\u7ef4\u6570\u636e\uff0c\u4eba\u4eec\u65e9\u5df2\u610f\u8bc6\u5230\u53ef\u4ee5\u53ef\u9760\u5730\u5bf9\u566a\u58f0\u6c34\u5e73\u8fdb\u884c\u4f30\u8ba1\uff0c\u8fd9\u610f\u5473\u7740\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u96c6\u4e2d\u7684 p (t|z)\u3002<\/section>\n<section><\/section>\n<section>\u9648\u8ff0 1\uff1a\uff08p (t|z) \u96c6\u4e2d\uff09\u3002\u8003\u8651\u5355\u4e2a\u6570\u636e\u70b9 x \u03f5 [-1, 1]^d\uff0c\u5219 \u03f5\uff5e(0, I)\uff0ct\uff5eU [-0, 1] \u4ee5\u53ca z = (1 &#8211; t) x + t\u03f5\uff08\u6d41\u5339\u914d\u60c5\u51b5\uff09\u3002\u7ed9\u5b9a\u4e00\u4e2a\u7531\u5df2\u6709 t_\u204e\u751f\u6210\u7684\u566a\u58f0\u56fe\u50cf z = (1 &#8211; t_\u204e) x + t_\u204e\u03f5\uff0c\u6761\u4ef6\u5206\u5e03 p (t|z) \u4e0b t \u7684\u65b9\u5dee\u5982\u4e0b\uff1a<\/section>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-bca8a7df290d87533ed4de099a35f823.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-bca8a7df290d87533ed4de099a35f823.png\"><\/a><\/p>\n<section><strong>\u6709\u6548\u56de\u5f52\u76ee\u6807\u7684\u8bef\u5dee<\/strong><\/section>\n<section><\/section>\n<section>\u4f7f\u7528 p (t|z)\uff0c\u7814\u7a76\u8005\u63a2\u7a76\u4e86\u6709\u6548\u56de\u5f52\u76ee\u6807 R (z) \u548c R (z|t) \u4e4b\u95f4\u7684\u8bef\u5dee\u3002\u5728\u5f62\u5f0f\u4e0a\uff0c\u8003\u8651\u5982\u4e0b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-438e5fb699612dcf4e3a75222940ea4a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-438e5fb699612dcf4e3a75222940ea4a.png\"><\/a><\/section>\n<section>\u4ed6\u4eec\u8868\u660e\uff0c\u65b9\u5dee E (z) \u660e\u663e\u5c0f\u4e8e R (z) \u7684\u8303\u6570\u3002<\/section>\n<section><\/section>\n<section>\u9648\u8ff0 2\uff08\u6709\u6548\u56de\u5f52\u76ee\u6807\u7684\u8bef\u5dee\uff09\u3002\u8003\u8651\u5230\u9648\u8ff0 1 \u4e2d\u7684\u573a\u666f\u4ee5\u53ca\u6d41\u5339\u914d\u60c5\u51b5\uff0c\u516c\u5f0f (10) \u4e2d\u5b9a\u4e49\u7684\u8bef\u5dee\u6ee1\u8db3\u5982\u4e0b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9eab934d8e8a8a0be81ed3c9c619ff5e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-9eab934d8e8a8a0be81ed3c9c619ff5e.png\"><\/a><\/section>\n<section><strong>\u91c7\u6837\u4e2d\u7684\u7d2f\u79ef\u8bef\u5dee<\/strong><\/section>\n<section><\/section>\n<section>\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u7814\u7a76\u8005\u5173\u6ce8\u5230\u4e86\u5355\u4e2a\u56de\u5f52\u6b65\u9aa4\u7684\u8bef\u5dee\u3002\u800c\u5728\u53bb\u566a\u751f\u6210\u6a21\u578b\u4e2d\uff0c\u63a8\u7406\u91c7\u6837\u5668\u662f\u8fed\u4ee3\u7684\uff0c\u56e0\u800c\u8fdb\u4e00\u6b65\u7814\u7a76\u4e86\u8fed\u4ee3\u91c7\u6837\u5668\u4e2d\u7684\u7d2f\u79ef\u8bef\u5dee\u3002<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u4fbf\u4e8e\u5206\u6790\uff0c\u7814\u7a76\u8005\u5047\u8bbe\u7f51\u7edc NN_\u03b8 \u8db3\u4ee5\u62df\u5408\u6709\u6548\u56de\u5f52\u76ee\u6807 R (z|t) \u6216 R (z)\u3002\u5728\u6b64\u5047\u8bbe\u4e0b\uff0c\u4ed6\u4eec\u5c06\u4e0a\u9762\u516c\u5f0f (4) \u4e2d\u7684 NN_\u03b8 \u66ff\u6362\u4e3a R\u3002\u8fd9\u5c31\u6709\u4e86\u4ee5\u4e0b\u9648\u8ff0 3\uff1a<\/section>\n<section><\/section>\n<section>\u9648\u8ff0 3\uff08\u7d2f\u79ef\u8bef\u5dee\u7684\u4e0a\u9650\uff09\u3002\u8003\u8651\u516c\u5f0f (4) \u4e2d N \u4e2a\u6b65\u9aa4\u7684\u91c7\u6837\u8fc7\u7a0b\uff0c\u4ece\u76f8\u540c\u7684\u521d\u59cb\u566a\u58f0 x_0 = x\u2019_0 \u5f00\u59cb\u3002\u901a\u8fc7\u566a\u58f0\u8c03\u8282\uff0c\u91c7\u6837\u5668\u8ba1\u7b97\u5982\u4e0b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2fdbaf8400852dfb9c1bb07c6190bd5b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-2fdbaf8400852dfb9c1bb07c6190bd5b.png\"><\/a><\/section>\n<section>\u800c\u5728\u65e0\u566a\u58f0\u6761\u4ef6\u4e0b\uff0c\u8ba1\u7b97\u5982\u4e0b\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-87090ca7fea095c34e7a128fb3dce152.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-87090ca7fea095c34e7a128fb3dce152.png\"><\/a><\/section>\n<section>\u4f5c\u4e3a\u53c2\u8003\uff0cEDM \u8bbe\u7f6e\u4e3a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c0ecb4bd98983c290c134122ab1de521.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-c0ecb4bd98983c290c134122ab1de521.png\"><\/a>\uff0c\u5176\u4e2d \u03c3_d \u4e3a\u6570\u636e\u6807\u51c6\u5dee\u3002\u7531\u4e8e<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5eb557918bdc208226673f71f8f1eb73.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-5eb557918bdc208226673f71f8f1eb73.png\"><\/a>\u662f\u5e94\u7528\u4e8e\u7f51\u7edc NN_\u03b8 \u7684\u7cfb\u6570\uff0c\u56e0\u800c\u7814\u7a76\u8005\u5c06\u5176\u8bbe\u7f6e\u4e3a\u5e38\u6570\u4ee5\u4f7f\u8be5\u7f51\u7edc\u4e0d\u7528\u5efa\u6a21\u4e00\u4e2a t &#8211; \u4f9d\u8d56\u5c3a\u5ea6\u3002\u5728\u5b9e\u9a8c\u4e2d\uff0c\u8fd9\u79cd\u7b80\u5355\u7684\u8bbe\u8ba1\u8868\u73b0\u51fa\u4e86\u6bd4 EDM \u66f4\u4f4e\u7684\u8bef\u5dee\u4e0a\u9650\uff08\u9648\u8ff0 3\uff09\uff0c\u56e0\u800c\u88ab\u547d\u540d\u4e3a\u4e86 uEDM\uff0c\u5b83\u662f\u65e0\u566a\u58f0\u6761\u4ef6\u7684\u7f29\u5199\u3002<\/section>\n<section><\/section>\n<section><strong>\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/section>\n<section><\/section>\n<section>\u7814\u7a76\u8005\u5bf9\u5404\u79cd\u6a21\u578b\u7684\u566a\u58f0\u6761\u4ef6\u5f71\u54cd\u8fdb\u884c\u4e86\u5b9e\u8bc1\u8bc4\u4f30\uff1a<\/section>\n<ul>\n<li>\n<p>\u6269\u6563\uff1aiDDPM\u3001ADM\u3001uEDM<\/p>\n<\/li>\n<li>\n<p>\u57fa\u4e8e\u6d41\u7684\u6a21\u578b\uff1a\u6b64\u5904\u91c7\u7528\u4e86 Rectified Flow (1-RF)<\/p>\n<\/li>\n<li>\n<p>\u4e00\u81f4\u6027\u6a21\u578b\uff1aiCT ECM<\/p>\n<\/li>\n<\/ul>\n<section>\u4e0b\u8868 2 \u603b\u7ed3\u4e86\u4e0d\u540c\u751f\u6210\u6a21\u578b\u4e2d\u7684 FID \u53d8\u5316\u60c5\u51b5\uff0c\u6709\u6216\u65e0\u566a\u58f0\u8c03\u8282\u5206\u522b\u7528 \u201cw\/t \u201d \u548c \u201cw\/o t \u201d \u8868\u793a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ec5a228c41c0d5e5e11b9ec32a9d9837.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-ec5a228c41c0d5e5e11b9ec32a9d9837.png\"><\/a><\/section>\n<section>\u5212\u91cd\u70b9\u5982\u4e0b\uff1a<\/section>\n<section><\/section>\n<section>(i) \u4e0e\u901a\u5e38\u7684\u770b\u6cd5\u76f8\u53cd\uff0c\u566a\u58f0\u6761\u4ef6\u5e76\u4e0d\u662f\u5927\u591a\u6570\u57fa\u4e8e\u53bb\u566a\u6a21\u578b\u53d1\u6325\u4f5c\u7528\u7684\u6709\u5229\u56e0\u7d20\u3002\u5927\u591a\u6570\u53d8\u4f53\u90fd\u80fd\u4f18\u96c5\u5730\u5de5\u4f5c\uff0c\u8868\u73b0\u51fa\u5fae\u5c0f\u4f46\u9002\u5f53\u7684\u8870\u51cf\uff08\u9ec4\u8272\uff09\uff1b<\/section>\n<section>(ii) \u5728\u53bb\u9664\u566a\u58f0\u6761\u4ef6\u540e\uff0c\u4e00\u4e9b\u57fa\u4e8e\u6d41\u7684\u53d8\u4f53\u53ef\u4ee5\u83b7\u5f97\u66f4\u597d\u7684 FID\uff08\u7eff\u8272\uff09\uff1b<\/section>\n<section>(ili) uEDM \u53d8\u4f53\u5728\u4e0d\u4f7f\u7528\u566a\u58f0\u6761\u4ef6\u7684\u60c5\u51b5\u4e0b\u5b9e\u73b0\u4e86 2.23 \u7684 FID\uff0c\u7f29\u5c0f\u4e86\u4e0e\u566a\u58f0\u6761\u4ef6\u65b9\u6cd5\u7684\u5f3a\u57fa\u7ebf\u7684\u5dee\u8ddd\uff1b<\/section>\n<section>(iv) 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src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/02\/frc-419f7fa9643d0a218041217e52308bbb.png\"><\/a><\/section>\n<section>\u5728\u56fe 4 \u4e2d\uff0c\u7814\u7a76\u8005\u6839\u636e\u7ecf\u9a8c\u8bc4\u4f30\u4e86\u5728 100 \u6b65 ODE \u91c7\u6837\u5668\u4e0b\u4e0d\u540c\u65b9\u6cd5\u7684\u9648\u8ff0 3 \u4e2d\u7684\u8bef\u5dee\u8fb9\u754c\u3002\u8bef\u5dee\u8fb9\u754c\u7684\u8ba1\u7b97\u53ea\u53d6\u51b3\u4e8e\u6bcf\u79cd\u65b9\u6cd5\u7684\u65f6\u95f4\u8868\u548c\u6570\u636e\u96c6\u3002\u56fe 4 \u4e5f\u5c55\u793a\u4e86\u7406\u8bba\u8fb9\u754c\u4e0e\u7ecf\u9a8c\u884c\u4e3a\u4e4b\u95f4\u7684\u7d27\u5bc6\u8054\u7cfb\u3002\u5177\u4f53\u6765\u8bf4\uff0cDDIM \u7684\u707e\u96be\u6027\u5931\u8d25\u53ef\u4ee5\u7528\u5176\u8bef\u5dee\u8fb9\u754c\u9ad8\u51fa\u51e0\u4e2a\u6570\u91cf\u7ea7\u6765\u89e3\u91ca\u3002\u53e6\u4e00\u65b9\u9762\uff0cEDMFM \u548c uEDM \u5728\u6574\u4e2a\u8fc7\u7a0b\u4e2d\u7684\u8bef\u5dee\u8fb9\u754c\u90fd\u5f88\u5c0f\u3002<a 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