{"id":733,"date":"2025-12-12T02:14:54","date_gmt":"2025-12-11T18:14:54","guid":{"rendered":"https:\/\/www.ndnlab.com\/?p=733"},"modified":"2025-12-12T10:04:27","modified_gmt":"2025-12-12T02:04:27","slug":"difffp-learning-behaviors-from-scratch-via-diffusion-based-fictitiousplay","status":"publish","type":"post","link":"https:\/\/www.ndnlab.com\/?p=733","title":{"rendered":"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u4f5c\u8005\uff1aAkash Karthikeyan, Yash Vardhan Pant<\/p>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u95ee\u9898\u80cc\u666f\u4e0e\u52a8\u673a<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u81ea\u6211\u5bf9\u5f08\uff08self-play\uff09\u5f3a\u5316\u5b66\u4e60<\/strong>\u5728\u535a\u5f08\u6027\u548c\u591a\u667a\u80fd\u4f53\u4efb\u52a1\u4e2d\u5df2\u88ab\u8bc1\u660e\u80fd\u591f\u5b66\u4e60\u590d\u6742\u7b56\u7565\uff0c\u4f46\u5728<strong>\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4<\/strong>\u3001<strong>\u5bf9\u624b\u591a\u6837\u6027<\/strong> \u4ee5\u53ca <strong>\u6cdb\u5316\u6027<\/strong> \u65b9\u9762\u4ecd\u5b58\u5728\u663e\u8457\u6311\u6218\uff0c\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f20\u7edf RL \u65b9\u6cd5\u5bf9\u8fde\u7eed\u3001\u590d\u6742\u7b56\u7565\u7a7a\u95f4\u7684\u6536\u655b\u901f\u5ea6\u6162\u751a\u81f3\u4e0d\u6536\u655b\uff1b<\/li>\n\n\n\n<li>\u6240\u5b66\u7b56\u7565\u5bb9\u6613\u88ab\u672a\u89c1\u5bf9\u624b\u7b56\u7565\u5229\u7528\uff0c\u7f3a\u4e4f\u9c81\u68d2\u6027\uff1b<\/li>\n\n\n\n<li>\u4e0e Nash \u5747\u8861\u7684\u6536\u655b\u6027\u7406\u8bba\u4fdd\u8bc1\u5f31\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u95ee\u9898\u5728\u96f6\u548c\u591a\u667a\u80fd\u4f53\u73af\u5883\uff08\u5982\u8d5b\u8f66\u3001\u7269\u7406\u7c92\u5b50\u7ade\u8d5b\u3001\u8fde\u7eed\u7b56\u7565\u535a\u5f08\uff09\u4e2d\u5c24\u4e3a\u660e\u663e\uff1a\u7b56\u7565\u7a7a\u95f4\u5927\u3001\u72b6\u6001\/\u52a8\u4f5c\u8fde\u7eed\u3001\u5bf9\u624b\u884c\u4e3a\u591a\u53d8\u3002DiffFP \u63d0\u51fa\u4e86\u4e00\u79cd\u7ed3\u5408<strong>\u865a\u6784\u535a\u5f08\uff08Fictitious Play\uff09<\/strong> \u4e0e<strong>\u6269\u6563\u7b56\u7565\u751f\u6210\u6a21\u578b\uff08diffusion policy\uff09<\/strong> \u7684\u6846\u67b6\uff0c\u4ee5\u6b64\u63d0\u5347<strong>\u9002\u5e94\u6027\u3001\u9c81\u68d2\u6027\u4e0e\u591a\u6837\u6027<\/strong>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u6838\u5fc3\u65b9\u6cd5\uff1aDiffFP \u6846\u67b6<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"523\" height=\"253\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-27.png\"  class=\"wp-image-734\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-27.png 523w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-27-300x145.png 300w\" sizes=\"auto, (max-width: 523px) 100vw, 523px\" title=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe\" alt=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"524\" height=\"614\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-28.png\"  class=\"wp-image-735\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-28.png 524w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-28-256x300.png 256w\" sizes=\"auto, (max-width: 524px) 100vw, 524px\" title=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe1\" alt=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe1\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">DiffFP \u662f\u4e00\u4e2a <strong>\u8fed\u4ee3\u7684\u81ea\u535a\u5f08\u6846\u67b6<\/strong>\uff0c\u5176\u76ee\u6807\u662f\u5728\u8fde\u7eed\u7a7a\u95f4\u7684\u96f6\u548c\u535a\u5f08\u4e2d\u903c\u8fd1 <strong>\u03b5-Nash \u5747\u8861<\/strong>\uff0c\u4e3b\u8981\u7531\u4e24\u4e2a\u6838\u5fc3\u7ec4\u6210\u90e8\u5206\u6784\u6210\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Fictitious Play<\/strong>\uff1a\u7528\u4e8e\u4f30\u8ba1\u5bf9\u624b\u7b56\u7565\u5206\u5e03<\/li>\n\n\n\n<li><strong>Diffusion Policy<\/strong>\uff1a\u7528\u4e8e\u5b66\u4e60\u5bf9\u5f53\u524d opponent \u5206\u5e03\u7684 <strong>best response\uff08\u6700\u4f73\u5e94\u5bf9\uff09<\/strong><\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">1. Fictitious Play \u673a\u5236<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6bcf\u4e00\u8f6e\u8bad\u7ec3\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bb0\u5bf9\u624b\u7b56\u7565\u5206\u5e03\u4e3a \u03c0\u207b (opponent policy distribution)\uff0c\u8fd9\u662f\u6839\u636e\u4ee5\u5f80\u81ea\u6211\u5bf9\u6218\u7ecf\u9a8c\uff08\u5386\u53f2\u7b56\u7565\uff09\u7d2f\u79ef\u5f97\u5230\u7684<strong>\u7ecf\u9a8c\u7b56\u7565\u6df7\u5408<\/strong>\uff1b<\/li>\n\n\n\n<li>\u667a\u80fd\u4f53\u5219\u9488\u5bf9 \u03c0\u207b \u5b66\u4e60\u5176 <strong>\u6700\u4f73\u54cd\u5e94\u7b56\u7565 \u03c0*<\/strong>\uff1b<\/li>\n\n\n\n<li>\u6bcf\u8f6e\u8fed\u4ee3\u7ed3\u675f\u540e\uff0c\u5c06\u65b0\u7b56\u7565\u52a0\u5165\u5386\u53f2\u5bf9\u624b\u96c6\u5408\uff0c\u66f4\u65b0 \u03c0\u207b\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f20\u7edf Fictitious Play \u4f7f\u7528\u9010\u6b65 best response \/ empirical distribution \u673a\u5236\u66f4\u65b0\u7b56\u7565\u96c6\uff0c\u800c DiffFP \u7528\u6269\u6563\u7b56\u7565\u4ee3\u66ff\u4f20\u7edf\u7b56\u7565\u7f51\u7edc\uff0c\u4ee5\u4fbf\u6355\u83b7<strong>\u591a\u5cf0\u884c\u4e3a<\/strong>\u53ca\u9002\u5e94\u6027\u5f3a\u7684\u7b56\u7565\u5206\u5e03\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. Diffusion Policy \u4f5c\u4e3a Best Response Learne<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Diffusion \u6a21\u578b<\/strong>\u5728\u751f\u6210\u6a21\u578b\u4e2d\u662f\u4e00\u7c7b\u901a\u8fc7\u4ece\u566a\u58f0\u5f00\u59cb\u9010\u6e10\u53bb\u566a\u5f97\u5230\u76ee\u6807\u5206\u5e03\u7684\u6a21\u578b\uff08\u5982 Gaussian diffusion\uff09\u3002DiffFP \u5229\u7528\u8fd9\u79cd\u673a\u5236\u6765\u751f\u6210\u7b56\u7565\uff08action \u6216 action sequence\uff09\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>score network<\/strong> \u5b66\u4e60\u76ee\u6807\u52a8\u4f5c\u5e8f\u5217\u751f\u6210\u5206\u5e03\uff1b<\/li>\n\n\n\n<li>\u667a\u80fd\u4f53\u6267\u884c\u4ece\u566a\u58f0\u4e2d\u53cd\u5411\u53bb\u566a\u5f97\u5230\u7684\u7b56\u7565\u5e8f\u5217\uff1b<\/li>\n\n\n\n<li>\u8fd9\u79cd\u751f\u6210\u65b9\u5f0f\u53ef\u4ee5\u5b9e\u73b0\u7b56\u7565\u7684<strong>\u591a\u6837\u6027\u4e0e\u8986\u76d6\u6027<\/strong>\uff0c\u514b\u670d RL \u4e2d\u7b56\u7565\u8fc7\u65e9\u6536\u655b\u5230\u5c40\u90e8\u6700\u4f18\u3001\u7b56\u7565\u5355\u4e00\u7b49\u95ee\u9898\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Folded into Fictitious Play \u4e2d\u7684 best response \u8bad\u7ec3\u6d41\u7a0b\uff0cDiffFP \u6bcf\u4e00\u8f6e\u8fdb\u884c\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u91c7\u6837\u5bf9\u624b\u7b56\u7565 \u03c0\u207b\uff1b<\/li>\n\n\n\n<li>\u4f7f\u7528 diffusion policy \u6765\u751f\u6210 candidate \u52a8\u4f5c\u7b56\u7565\uff1b<\/li>\n\n\n\n<li>\u8bc4\u4f30\u8fd9\u4e9b\u7b56\u7565\u5728\u5f53\u524d\u5bf9\u624b\u5206\u5e03\u4e0b\u7684\u7d2f\u8ba1 payoff\uff1b<\/li>\n\n\n\n<li>\u66f4\u65b0 diffusion score network \u4ee5\u4f7f\u751f\u6210\u7684\u7b56\u7565\u903c\u8fd1 best response\uff1b<\/li>\n\n\n\n<li>\u5c06 learned policy \u52a0\u5165\u5386\u53f2\u96c6\u5408\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u8bbe\u8ba1\u7684<strong>\u4f18\u70b9<\/strong>\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u751f\u6210\u7b56\u7565\u5177\u6709\u591a\u6a21\u6001\u80fd\u529b\uff08\u6bd4\u4f20\u7edf\u5355\u4e00\u53c2\u6570\u5316\u7b56\u7565\u66f4\u5177\u9002\u5e94\u6027\uff09\uff1b<\/li>\n\n\n\n<li>diffusion \u6a21\u578b\u5929\u7136\u5b9e\u73b0\u4ece exploration\uff08\u591a\u6837\u52a8\u4f5c\uff09 \u5230 exploitation\uff08\u5f3a\u52a8\u4f5c\uff09\u7684\u8fde\u7eed\u5e73\u8861\uff1b<\/li>\n\n\n\n<li>\u9002\u5408\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u4e0e\u8fde\u7eed\u65f6\u57df\u7684\u535a\u5f08\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u7b97\u6cd5\u7ed3\u6784\u4e0e\u8bad\u7ec3\u6d41\u7a0b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6574\u4e2a DiffFP \u6846\u67b6\u5927\u81f4\u5982\u4e0b\uff1a<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. \u521d\u59cb\u5316<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u521d\u59cb\u5316\u7b56\u7565\u751f\u6210\u6a21\u578b\uff08\u6269\u6563 policy\uff09\u4e0e\u7a7a\u767d\u5386\u53f2\u7b56\u7565\u96c6\u5408 H\uff1b<\/li>\n\n\n\n<li>\u521d\u59cb\u5316\u5bf9\u624b\u7b56\u7565\u5206\u5e03 \u03c0\u207b as uniform \/ random\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">2. \u8fed\u4ee3\u5faa\u73af<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u7b2c <math><semantics><mrow><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">t<\/annotation><\/semantics><\/math> \u8f6e\u8fed\u4ee3\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 1 \u2014 \u66f4\u65b0\u5bf9\u624b\u5206\u5e03 \u03c0\u207b<\/strong><br>\u5bf9\u624b\u5206\u5e03\u662f\u57fa\u4e8e\u5386\u53f2\u8054\u76df H \u7684\u7ecf\u9a8c\u9891\u7387\uff0c\u8fd9\u91cc\u6bcf\u4e2a\u5386\u53f2\u7b56\u7565\u6709\u76f8\u5e94\u6743\u91cd\uff1a<math display=\"block\"><semantics><mrow><msubsup><mi>\u03c0<\/mi><mi>t<\/mi><mo lspace=\"0em\" rspace=\"0em\">\u2212<\/mo><\/msubsup><mo>=<\/mo><mfrac><mn>1<\/mn><mrow><mi mathvariant=\"normal\">\u2223<\/mi><mi>H<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><\/mrow><\/mfrac><munder><mo>\u2211<\/mo><mrow><mi>h<\/mi><mo>\u2208<\/mo><mi>H<\/mi><\/mrow><\/munder><mi>h<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\pi^{-}_{t} = \\frac{1}{|H|} \\sum_{h \\in H} h<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684\u7b56\u7565\u96c6\u5408 H \u968f\u7740\u8fed\u4ee3\u589e\u957f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 2 \u2014 \u57fa\u4e8e \u03c0\u207b \u751f\u6210\u7b56\u7565\u5019\u9009<\/strong><br>\u4f7f\u7528 diffusion policy \u7684 score network\uff0c\u4ece Gaussian \u566a\u58f0\u751f\u6210 candidate strategies\uff1a<math display=\"block\"><semantics><mrow><mtext>diffusion_sample<\/mtext><mo>\u223c<\/mo><msub><mi>p<\/mi><mtext>diffusion<\/mtext><\/msub><mo stretchy=\"false\">(<\/mo><mtext>action&nbsp;sequence<\/mtext><mi mathvariant=\"normal\">\u2223<\/mi><msubsup><mi>\u03c0<\/mi><mi>t<\/mi><mo lspace=\"0em\" rspace=\"0em\">\u2212<\/mo><\/msubsup><mo separator=\"true\">,<\/mo><msub><mi>s<\/mi><mi>t<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\text{diffusion\\_sample} \\sim p_{\\text{diffusion}}(\\text{action sequence} | \\pi^{-}_{t}, s_t)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u72b6\u6001 <math><semantics><mrow><msub><mi>s<\/mi><mi>t<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">s_t<\/annotation><\/semantics><\/math>st\u200b \u662f\u5f53\u524d\u535a\u5f08\u72b6\u6001\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 3 \u2014 \u8bc4\u4f30\u4e0e Dyson \u5b66\u4e60<\/strong><br>\u5bf9\u4e8e\u751f\u6210\u7684\u5019\u9009\u7b56\u7565\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f30\u8ba1\u671f\u671b payoff\uff1b<\/li>\n\n\n\n<li>\u4f7f\u7528 RL\/\u4f18\u5316\u65b9\u6cd5\u8c03\u6574 score network \u4f7f\u5176\u751f\u6210\u66f4\u9ad8\u8868\u73b0\u7b56\u7565\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u76ee\u6807\u662f\u6700\u5c0f\u5316\u5bf9\u81ea\u5df1\u7b56\u7565\u4e0e best response \u4e4b\u95f4\u7684 KL divergence \u6216\u63d0\u5347 expected payoff\uff1a<math display=\"block\"><semantics><mrow><mi>L<\/mi><mo stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mo>\u2212<\/mo><msub><mi mathvariant=\"double-struck\">E<\/mi><mrow><mi>a<\/mi><mo>\u223c<\/mo><msub><mi>p<\/mi><mtext>diffusion<\/mtext><\/msub><mo stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msub><mo stretchy=\"false\">[<\/mo><mtext>payoff<\/mtext><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><msubsup><mi>\u03c0<\/mi><mi>t<\/mi><mo lspace=\"0em\" rspace=\"0em\">\u2212<\/mo><\/msubsup><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">]<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">L(\\theta) = -\\mathbb{E}_{a \\sim p_{\\text{diffusion}}(\\theta)}[\\text{payoff}(a|\\pi^{-}_{t})]<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e00\u6b65\u901a\u8fc7\u6807\u51c6 gradient descent \u66f4\u65b0 score network \u53c2\u6570 \u03b8\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 4 \u2014 \u66f4\u65b0\u5386\u53f2\u96c6\u5408<\/strong><br>\u5c06\u65b0\u7b56\u7565\u52a0\u5230\u5386\u53f2 H \u4e2d\uff1a<math display=\"block\"><semantics><mrow><mi>H<\/mi><mo>\u2190<\/mo><mi>H<\/mi><mo>\u222a<\/mo><mo stretchy=\"false\">{<\/mo><msubsup><mi>\u03c0<\/mi><mi>t<\/mi><mo lspace=\"0em\" rspace=\"0em\">\u2217<\/mo><\/msubsup><mo stretchy=\"false\">}<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">H \\leftarrow H \\cup \\{\\pi_{t}^{*}\\}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u8fdb\u5165\u4e0b\u4e00\u8f6e\u8fed\u4ee3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">3. \u6536\u655b\u5224\u636e<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">DiffFP \u8bc1\u660e\u5728\u8fde\u7eed\u7a7a\u95f4\u96f6\u548c\u535a\u5f08\u4e2d\u5176\u8fed\u4ee3\u8fc7\u7a0b\u5728\u7406\u8bba\u4e0a\u53ef\u903c\u8fd1 <strong>\u03b5-Nash \u5747\u8861<\/strong>\uff08strategy profile \u4f7f\u4efb\u4e00\u73a9\u5bb6\u504f\u79bb\u6536\u76ca\u63d0\u5347 \u2264 \u03b5 \u7684\u60c5\u51b5\uff09\uff0c\u4f7f\u5f97\u6240\u5f97\u7b56\u7565\u96c6\u6bd4\u4f20\u7edf RL \u66f4\u5177\u7406\u8bba\u4fdd\u8bc1\uff08\u5c3d\u7ba1\u5177\u4f53\u6536\u655b\u901f\u5ea6\u4e0e\u73af\u5883\u6709\u5173\uff09\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u5b9e\u9a8c\u8bbe\u7f6e\u4e0e\u4e3b\u8981\u7ed3\u679c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">DiffFP \u5728\u591a\u4e2a\u590d\u6742\u8fde\u7eed\u7a7a\u95f4\u4efb\u52a1\u4e2d\u8fdb\u884c\u4e86\u6d4b\u8bd5\uff0c\u5305\u62ec\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"338\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-29-1024x338.png\"  class=\"wp-image-736\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-29-1024x338.png 1024w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-29-300x99.png 300w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-29-768x253.png 768w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-29.png 1100w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" title=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe2\" alt=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe2\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8fde\u7eed\u52a8\u4f5c\u96f6\u548c\u8d5b\u8f66\uff08racing\uff09\u73af\u5883<\/strong>\uff1b<\/li>\n\n\n\n<li><strong>\u591a\u7c92\u5b50\u96f6\u548c\u6e38\u620f\uff08multi-particle zero-sum games\uff09<\/strong>\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3b\u8981\u5b9e\u9a8c\u6307\u6807\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6536\u655b\u901f\u5ea6<\/strong>\uff1a\u8fbe\u5230\u67d0\u4e00\u80dc\u7387 \/ payoff threshold \u6240\u9700\u7684\u8fed\u4ee3\u6b21\u6570\uff1b<\/li>\n\n\n\n<li><strong>\u6210\u529f\u7387<\/strong>\uff1a\u5bf9\u6297 diverse opponents\uff08\u591a\u79cd\u5bf9\u624b\u7b56\u7565\uff09\u65f6\u7684\u80dc\u7387\uff1b<\/li>\n\n\n\n<li><strong>\u9c81\u68d2\u6027<\/strong>\uff1a\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u4e0d\u540c\u8fed\u4ee3\u95f4\u6027\u80fd\u7a33\u5b9a\u6027\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7ed3\u679c\u6458\u8981<\/strong>\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"524\" height=\"401\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-33.png\"  class=\"wp-image-740\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-33.png 524w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-33-300x230.png 300w\" sizes=\"auto, (max-width: 524px) 100vw, 524px\" title=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe3\" alt=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe3\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"529\" height=\"354\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-32.png\"  class=\"wp-image-739\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-32.png 529w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-32-300x201.png 300w\" sizes=\"auto, (max-width: 529px) 100vw, 529px\" title=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe4\" alt=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe4\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"610\" src=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-34-1024x610.png\"  class=\"wp-image-741\" srcset=\"https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-34-1024x610.png 1024w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-34-300x179.png 300w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-34-768x457.png 768w, https:\/\/www.ndnlab.com\/wp-content\/uploads\/2025\/12\/image-34.png 1097w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" title=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe5\" alt=\"DiffFP: Learning Behaviors from Scratch via Diffusion-based FictitiousPlay\u63d2\u56fe5\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>DiffFP \u6bd4\u5e38\u89c4\u6a21\u4eff self-play RL \u65b9\u6cd5\u6536\u655b\u901f\u5ea6\u5feb <strong>\u6700\u591a 3\u00d7<\/strong>\uff1b<\/li>\n\n\n\n<li>\u5728\u5bf9\u6297 diverse opponents \u65f6\u6210\u529f\u7387\u5e73\u5747\u63d0\u9ad8 <strong>30\u00d7<\/strong>\uff1b<\/li>\n\n\n\n<li>learned policies \u5728\u8bad\u7ec3\u8fed\u4ee3\u95f4\u8868\u73b0\u66f4\u52a0\u7a33\u5b9a\u4e14\u4e0d\u6613\u88ab exploit\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e diffusion policy \u5728\u751f\u6210\u5bf9\u6297\u7b56\u7565\u65b9\u9762<strong>\u6bd4\u666e\u901a\u53c2\u6570\u5316\u7b56\u7565\u8868\u73b0\u66f4\u9c81\u68d2<\/strong>\u4e14\u5177\u6709<strong>\u66f4\u597d\u7684 generalization ability<\/strong>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u6280\u672f\u6311\u6218\u4e0e\u673a\u5236\u5206\u6790<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">1. \u4e3a\u4ec0\u4e48 diffusion policy \u6709\u4f18\u52bf\uff1f<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u591a\u6a21\u6001\u7b56\u7565\u751f\u6210<\/strong>\uff1a\u666e\u901a\u5f3a\u5316\u5b66\u4e60\u7b56\u7565\u5f80\u5f80\u88ab\u9650\u5236\u5728\u5355\u4e00\u5cf0\u503c\u6216\u5c40\u90e8\u6700\u4f18\u3002\u6269\u6563\u6a21\u578b\u5b66\u4e60\u7684\u662f\u6574\u4e2a\u7b56\u7565\u5206\u5e03\uff0c\u901a\u8fc7 denoising \u8fc7\u7a0b\u5929\u7136\u5b9e\u73b0\u4ece exploration \u5230 exploitation\u3002<\/li>\n\n\n\n<li><strong>\u8fde\u7eed\u7a7a\u95f4\u9002\u5e94\u6027\u5f3a<\/strong>\uff1a\u5728\u8fde\u7eed\u52a8\u4f5c \/\u8fde\u7eed\u72b6\u6001\u535a\u5f08\u4e2d\uff0cdiffusion \u6a21\u578b\u4e0d\u4f9d\u8d56 discretization\uff0c\u53ef\u4ee5\u76f4\u63a5\u5728\u9ad8\u7ef4\u7a7a\u95f4\u751f\u6210 diverse \u52a8\u4f5c\u5e8f\u5217\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">2. Fictitious Play \u7684\u5f3a\u5316<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f20\u7edf FP \u5728\u591a\u667a\u80fd\u4f53\u73af\u5883\u4e2d\u5bb9\u6613\u9677\u5165\u5faa\u73af\u6216\u6536\u655b\u6162\u3002DiffFP \u901a\u8fc7\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7528\u751f\u6210\u6a21\u578b Approximate best response\uff1b<\/li>\n\n\n\n<li>\u5bf9\u624b\u5206\u5e03\u5e76\u4e0d\u5047\u8bbe\u5bf9\u624b\u56fa\u5b9a\uff0c\u800c\u662f\u6839\u636e\u5386\u53f2\u7ecf\u9a8c\u9891\u7387\u52a8\u6001\u66f4\u65b0\uff1b<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f3a\u5316\u4e86 FP \u7684\u6cdb\u5316\u6027\u4e0e\u5bf9\u6297\u7a33\u5b9a\u6027\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u9650\u5236\u4e0e\u672a\u6765\u65b9\u5411<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bba\u6587\u4e5f\u6307\u51fa\u82e5\u5e72\u5e38\u89c1\u9650\u5236\u4e0e\u672a\u6765\u6539\u8fdb\u65b9\u5411\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97\u8d44\u6e90\u6d88\u8017<\/strong>\uff1a\u6269\u6563\u6a21\u578b\u8bad\u7ec3\u672c\u8eab\u8f83\u91cd\uff0c\u5bf9\u6bd4\u4f20\u7edf\u7b56\u7565\u7f51\u7edc\u9700\u8981\u66f4\u591a\u8ba1\u7b97\uff1b<\/li>\n\n\n\n<li><strong>\u5bf9\u624b\u6a21\u578b\u5047\u8bbe<\/strong>\uff1afictitious play \u5047\u8bbe opponent behavior \u51c6\u786e\u53cd\u6620\u5386\u53f2\u5206\u5e03\uff0c\u800c\u5728\u5bf9\u624b\u4e3b\u52a8 adaptive \u7684\u573a\u666f\u53ef\u80fd\u5b58\u5728\u504f\u5dee\uff1b<\/li>\n\n\n\n<li><strong>\u6cdb\u5316\u5230\u66f4\u591a\u4efb\u52a1<\/strong>\uff1a\u867d\u5df2\u9a8c\u8bc1\u5728\u8fde\u7eed\u96f6\u548c\u73af\u5883\uff0c\u662f\u5426\u80fd\u65e0\u8c03\u53c2\u6cdb\u5316\u5230\u66f4\u591a\u590d\u6742\u535a\u5f08\u7ed3\u6784\u8fd8\u9700\u8fdb\u4e00\u6b65\u5b9e\u9a8c\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading alignwide\" id=\"we-re-a-studio-in-berlin-with-an-international-practice-in-architecture-urban-planning-and-interior-design-we-believe-in-sharing-knowledge-and-promoting-dialogue-to-increase-the-creative-potential-of-collaboration\" style=\"font-size:48px;line-height:1.1\">\u7ed3\u8bba<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">DiffFP \u63d0\u51fa\u4e86\u4e00\u79cd\u521b\u65b0\u6027\u6846\u67b6\uff0c\u5c06<strong>\u751f\u6210\u5f0f\u6269\u6563\u6a21\u578b<\/strong>\u4e0e<strong>\u535a\u5f08\u8bba\u4e2d\u7684\u865a\u6784\u535a\u5f08<\/strong>\u76f8\u7ed3\u5408\uff0c\u4f7f\u5f97\u81ea\u6211\u5bf9\u5f08\u7b56\u7565\u5b66\u5f97\u66f4\u5177\u591a\u6837\u6027\u3001\u9c81\u68d2\u6027\u4e0e\u6cdb\u5316\u80fd\u529b\u3002\u5b9e\u9a8c\u7ed3\u679c\u663e\u793a\u5728\u8fde\u7eed\u7a7a\u95f4\u535a\u5f08\u4e2d\u6bd4\u57fa\u7840 RL baselines \u5177\u6709\u663e\u8457\u7684\u6027\u80fd\u4f18\u52bf\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4f5c\u8005\uff1aAkash Karthikeyan, Yash Vardhan Pant \u95ee\u9898\u80cc\u666f\u4e0e\u52a8\u673a \u81ea\u6211\u5bf9\u5f08\uff08self-play\uff09\u5f3a\u5316\u5b66\u4e60\u5728\u535a\u5f08\u6027\u548c\u591a\u667a\u80fd\u4f53\u4efb\u52a1\u4e2d\u5df2\u88ab\u8bc1\u660e\u80fd\u591f\u5b66\u4e60\u590d\u6742\u7b56\u7565\uff0c\u4f46\u5728\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u3001\u5bf9\u624b\u591a\u6837\u6027 \u4ee5\u53ca \u6cdb\u5316\u6027 \u65b9\u9762\u4ecd\u5b58\u5728\u663e\u8457\u6311\u6218\uff0c\u5305\u62ec\uff1a \u8fd9\u4e9b\u95ee\u9898\u5728\u96f6\u548c\u591a\u667a\u80fd\u4f53\u73af\u5883\uff08\u5982\u8d5b\u8f66\u3001\u7269\u7406\u7c92\u5b50\u7ade\u8d5b\u3001\u8fde\u7eed\u7b56\u7565\u535a\u5f08\uff09\u4e2d\u5c24\u4e3a\u660e\u663e\uff1a\u7b56\u7565\u7a7a\u95f4\u5927\u3001\u72b6\u6001\/\u52a8\u4f5c\u8fde\u7eed\u3001\u5bf9\u624b\u884c\u4e3a\u591a\u53d8\u3002DiffFP \u63d0\u51fa\u4e86\u4e00\u79cd\u7ed3\u5408\u865a\u6784\u535a\u5f08\uff08Fictitious Play\uff09 \u4e0e\u6269\u6563\u7b56\u7565\u751f\u6210\u6a21\u578b\uff08diffusi &hellip; <a href=\"https:\/\/www.ndnlab.com\/?p=733\">\u7ee7\u7eed\u9605\u8bfb <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":741,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-733","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-rengongzhineng"],"_links":{"self":[{"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/posts\/733","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=733"}],"version-history":[{"count":2,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/posts\/733\/revisions"}],"predecessor-version":[{"id":744,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/posts\/733\/revisions\/744"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=\/wp\/v2\/media\/741"}],"wp:attachment":[{"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ndnlab.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}