{"id":252,"date":"2025-10-21T17:01:50","date_gmt":"2025-10-21T09:01:50","guid":{"rendered":"https:\/\/blog.zeronely.cn\/?p=252"},"modified":"2025-10-23T21:37:03","modified_gmt":"2025-10-23T13:37:03","slug":"%e9%95%bf%e6%97%b6%e5%ba%8f%e7%a6%bb%e6%95%a3%e6%95%b0%e6%8d%ae%e4%b8%8b%e7%9b%ae%e6%a0%87%e7%be%a4%e5%85%b3%e8%81%94%e6%9b%b4%e6%96%b0","status":"publish","type":"post","link":"https:\/\/blog.zeronely.cn\/index.php\/2025\/10\/21\/%e9%95%bf%e6%97%b6%e5%ba%8f%e7%a6%bb%e6%95%a3%e6%95%b0%e6%8d%ae%e4%b8%8b%e7%9b%ae%e6%a0%87%e7%be%a4%e5%85%b3%e8%81%94%e6%9b%b4%e6%96%b0\/","title":{"rendered":"\u957f\u65f6\u5e8f\u79bb\u6563\u6570\u636e\u4e0b\u76ee\u6807\u7fa4\u5173\u8054\u66f4\u65b0"},"content":{"rendered":"\n<p>\u8f93\u5165\uff1a\u591a\u76ee\u6807\u8f68\u8ff9\u4fe1\u606f+\u5173\u8054\u7ea6\u675f\uff08\u77e5\u8bc6\u3001\u89c4\u5219\u3001\u8bed\u4e49\u7b49\uff09\uff0c\u8f93\u51fa\uff1a\u76ee\u6807\u7fa4\u7ec4\u5212\u5206\u4e0e\u76ee\u6807\u95f4\u5173\u7cfb\u56fe<\/p>\n\n\n\n<p>\u601d\u8def\uff1a<\/p>\n\n\n\n<p>1.\u6570\u636e\u9884\u5904\u7406\u4e0e\u7279\u5f81\u63d0\u53d6\uff1a\u7528\u751f\u6210\u5f0f\u6a21\u578b\uff08\u5982 Diffusion\uff09\u8865\u5168\u957f\u65f6\u5e8f\u79bb\u6563\u8f68\u8ff9\u7684\u7f3a\u5931\u503c\uff0c\u540c\u65f6\u878d\u5165\u57fa\u7840\u89c4\u5219\uff08\u5982\u7269\u7406\u8fd0\u52a8\u7ea6\u675f\uff09\u751f\u6210 \u201c\u5b8c\u6574\u8f68\u8ff9\u4f2a\u6570\u636e\u201d\uff0c\u589e\u5f3a\u7279\u5f81\u9c81\u68d2\u6027\uff1b\u7528\u5c42\u7ea7\u65f6\u5e8f\u6a21\u578b\uff08\u5982 Hierarchical Transformer\uff09\u63d0\u53d6\u591a\u5c3a\u5ea6\u7fa4\u4f53\u7279\u5f81\uff1a\u77ed\u671f\uff08\u79d2\u7ea7\u4e92\u52a8\uff09\u3001\u4e2d\u671f\uff08\u5c0f\u65f6\u7ea7\u805a\u96c6\uff09\u3001\u957f\u671f\uff08\u5929 \/ \u5468\u7ea7\u6a21\u5f0f\uff09\u3002<\/p>\n\n\n\n<p>2.\u7fa4\u4f53\u5212\u5206\uff1a\u751f\u6210\u5f0f\u6a21\u578b\uff08VAE\/GAN\uff09\u901a\u8fc7\u9690\u7a7a\u95f4\u805a\u7c7b\uff08\u5982\u57fa\u4e8e\u7fa4\u4f53\u96b6\u5c5e\u5ea6\u53d8\u91cf\uff09\u8f93\u51fa\u521d\u59cb\u7fa4\u4f53\u5212\u5206\uff0c\u540c\u65f6\u751f\u6210\u7b26\u5408\u8bed\u4e49\u7ea6\u675f\u7684\u7fa4\u4f53\u884c\u4e3a\u4f5c\u4e3a\u5212\u5206\u4f9d\u636e\uff1b\u7ed3\u5408\u957f\u65f6\u5e8f\u7279\u5f81\u7684\u7a33\u5b9a\u6027\u5206\u6790\uff08\u5982\u67d0\u7fa4\u4f53\u7279\u5f81\u5728 3 \u4e2a\u6708\u5185\u7684\u6ce2\u52a8\u5ea6\uff09\uff0c\u8fc7\u6ee4\u4e34\u65f6\u805a\u96c6\u7684 \u201c\u4f2a\u7fa4\u4f53\u201d\uff0c\u4fdd\u7559\u6838\u5fc3\u7fa4\u4f53\u3002<\/p>\n\n\n\n<p>3.\u5173\u7cfb\u56fe\u6784\u5efa\u3001\u52a8\u6001\u66f4\u65b0\uff1a\u57fa\u4e8e\u751f\u6210\u5f0f\u6a21\u578b\u7684\u4e92\u52a8\u9884\u6d4b\uff08\u5982 GAN \u5224\u522b\u5668\u7684\u7ea6\u675f\u9a8c\u8bc1\u7ed3\u679c\uff09\u548c\u65f6\u5e8f\u7279\u5f81\u7684\u5173\u8054\u5f3a\u5ea6\uff08\u5982 Transformer \u7684\u6ce8\u610f\u529b\u6743\u91cd\uff09\uff0c\u6784\u5efa\u521d\u59cb\u5173\u7cfb\u56fe\uff08\u8fb9\u8868\u793a\u4e92\u52a8\u7c7b\u578b\u548c\u5f3a\u5ea6\uff09\uff1b\u7528\u589e\u91cf\u5b66\u4e60\uff08\u5982\u589e\u91cf GNN\uff09\u548c\u52a8\u6001\u56fe\u6a21\u578b\uff08\u5982 Dynamic Graph Transformer\uff09\u5904\u7406\u65b0\u8f68\u8ff9\u6570\u636e\uff1a\u4ec5\u66f4\u65b0\u53d7\u5f71\u54cd\u7684\u8282\u70b9\u548c\u8fb9\uff0c\u901a\u8fc7\u8bb0\u5fc6\u673a\u5236\u907f\u514d\u9057\u5fd8\u5386\u53f2\u5173\u7cfb\uff0c\u901a\u8fc7\u81ea\u9002\u5e94\u89e6\u53d1\u673a\u5236\uff08\u5982 RL \u7b56\u7565\uff09\u51b3\u5b9a\u66f4\u65b0\u65f6\u673a\uff0c\u786e\u4fdd\u5173\u7cfb\u56fe\u5b9e\u65f6\u53cd\u6620\u7fa4\u4f53\u6f14\u5316\u3002<\/p>\n\n\n\n<p>4.\u878d\u5165\u89c4\u5219\u7ea6\u675f\uff1a\u5728\u751f\u6210\u5f0f\u6a21\u578b\u4e2d\uff1a\u5c06\u89c4\u5219\u7f16\u7801\u4e3a\u7ea6\u675f\u635f\u5931\uff08\u5982 GAN \u7684\u8f85\u52a9\u5224\u522b\u5668\u3001VAE \u7684\u5148\u9a8c\u5206\u5e03\uff09\uff0c\u786e\u4fdd\u751f\u6210\u7684\u8f68\u8ff9 \/ \u7fa4\u4f53\u884c\u4e3a\u7b26\u5408\u77e5\u8bc6\uff1b\u5728\u52a8\u6001\u66f4\u65b0\u4e2d\uff1a\u7528\u89c4\u5219\u6821\u9a8c\u5668\u8fc7\u6ee4\u4e0d\u5408\u7406\u7684\u5173\u7cfb\u53d8\u5316\uff08\u5982\u8fdd\u53cd\u7269\u7406\u89c4\u5219\u7684\u5173\u8054\uff09\uff0c\u7528\u77e5\u8bc6\u56fe\u8c31\u5d4c\u5165\u5f3a\u5316\u957f\u671f\u7a33\u5b9a\u7684\u7ea6\u675f\uff08\u5982\u793e\u4ea4\u5173\u7cfb\u89c4\u5219\uff09\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u7406\u89e3\uff1aGroupNet: Multiscale Hypergraph Neural Networks for Trajectory Prediction with Relational Reasoning<\/p>\n\n\n\n<p>\u8bba\u6587\u7684\u6838\u5fc3\u5728\u4e8eGroupNet\u7684\u67b6\u6784\u8bbe\u8ba1\uff0c\u603b\u7ed3\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>GroupNet \u6838\u5fc3\u901a\u8fc7 \u201c\u591a\u5c3a\u5ea6\u8d85\u56fe\u62d3\u6251\u63a8\u7406\u201d \u4e0e \u201c\u591a\u5c3a\u5ea6\u8d85\u56fe\u795e\u7ecf\u6d88\u606f\u4f20\u9012\u201d \u4e24\u5927\u9636\u6bb5\uff0c\u5b9e\u73b0\u5168\u9762\u7684\u4ea4\u4e92\u5efa\u6a21\u4e0e\u5173\u7cfb\u63a8\u7406\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e00\uff09\u591a\u5c3a\u5ea6\u8d85\u56fe\u62d3\u6251\u63a8\u7406\uff1a\u5212\u5206\u4ea4\u4e92\u7fa4\u4f53<\/h3>\n\n\n\n<p>\u8d85\u56fe\u533a\u522b\u4e8e\u666e\u901a\u56fe\uff0c\u5176 \u201c\u8d85\u8fb9\u201d \u53ef\u8fde\u63a5\u22652 \u4e2a\u8282\u70b9\uff08\u7fa4\u4f53\u5173\u7cfb\uff09\uff0c\u8be5\u9636\u6bb5\u901a\u8fc7\u6570\u636e\u9a71\u52a8\u81ea\u52a8\u5b66\u4e60\u8d85\u56fe\u7ed3\u6784\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u4eb2\u548c\u529b\u5efa\u6a21<\/strong>\uff1a\u5c06\u6bcf\u4e2a\u667a\u80fd\u4f53\u7684\u5386\u53f2\u8f68\u8ff9\u7ecf MLP \u7f16\u7801\u4e3a\u8f68\u8ff9\u5d4c\u5165\u5411\u91cf\uff0c\u518d\u7528\u4f59\u5f26\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u667a\u80fd\u4f53\u95f4\u7684\u4eb2\u548c\u529b\u77e9\u9635\uff0c\u53cd\u6620\u8f68\u8ff9\u76f8\u5173\u6027\uff08\u503c\u8d8a\u5927\uff0c\u4ea4\u4e92\u53ef\u80fd\u6027\u8d8a\u9ad8\uff09<\/li>\n\n\n\n<li><strong>\u8d85\u8fb9\u6784\u5efa<\/strong>\uff1a\u57fa\u4e8e\u4eb2\u548c\u529b\u77e9\u9635\u751f\u6210\u591a\u5c3a\u5ea6\u8d85\u56fe<em>G<\/em>={<em>G<\/em>(0),<em>G<\/em>(1),&#8230;,<em>G<\/em>(<em>S<\/em>)}\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5c3a\u5ea6 0\uff08<em>G<\/em>(0)\uff09\uff1a\u5efa\u6a21\u6210\u5bf9\u4ea4\u4e92\uff0c\u6bcf\u4e2a\u667a\u80fd\u4f53\u8fde\u63a5\u4eb2\u548c\u529b\u6700\u9ad8\u7684<em>K<\/em>(0)\u4e2a\u5176\u4ed6\u667a\u80fd\u4f53\uff0c\u5f62\u6210\u666e\u901a\u8fb9\u3002<\/li>\n\n\n\n<li>\u5c3a\u5ea6 s\u22651\uff08<em>G<\/em>(<em>s<\/em>)\uff09\uff1a\u5efa\u6a21\u7fa4\u4f53\u4ea4\u4e92\uff0c\u901a\u8fc7\u4f18\u5316\u95ee\u9898\uff08\u6700\u5927\u5316\u7fa4\u4f53\u5185\u4eb2\u548c\u529b\u603b\u548c\uff09\u5bfb\u627e<em>K<\/em>(<em>s<\/em>)\u4e2a\u7d27\u5bc6\u4ea4\u4e92\u7684\u667a\u80fd\u4f53\u7ec4\u6210\u7fa4\u4f53\uff0c\u5f62\u6210\u8d85\u8fb9\uff1b\u667a\u80fd\u4f53\u6570\u91cf\u591a\u65f6\u7528\u8d2a\u5fc3\u7b97\u6cd5\u8fd1\u4f3c\u6c42\u89e3\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5173\u8054\u77e9\u9635\u8868\u793a<\/strong>\uff1a\u6bcf\u4e2a\u5c3a\u5ea6\u8d85\u56fe\u7528\u5173\u8054\u77e9\u9635<em>H<\/em>(<em>s<\/em>)\u8868\u793a\uff0c<em>H<\/em><em>i<\/em>,<em>j<\/em>(<em>s<\/em>)\u200b=1\u8868\u793a\u667a\u80fd\u4f53<em>i<\/em>\u5c5e\u4e8e\u7b2c<em>j<\/em>\u6761\u8d85\u8fb9\u3002<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e8c\uff09\u591a\u5c3a\u5ea6\u8d85\u56fe\u795e\u7ecf\u6d88\u606f\u4f20\u9012\uff1a\u8868\u793a\u4ea4\u4e92\u5e76\u66f4\u65b0\u72b6\u6001<\/h3>\n\n\n\n<p>\u901a\u8fc7 \u201c\u8282\u70b9\u2192\u8d85\u8fb9\u2192\u8282\u70b9\u201d \u8fed\u4ee3\u6d88\u606f\u4f20\u9012\uff0c\u5b66\u4e60\u667a\u80fd\u4f53\u4e0e\u4ea4\u4e92\u5d4c\u5165\uff0c\u6838\u5fc3\u521b\u65b0\u662f \u201c\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\u201d\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a<\/strong>\uff1a\u6bcf\u6761\u8d85\u8fb9\u7684\u5d4c\u5165\u542b\u4e09\u90e8\u5206\uff0c\u5747\u7aef\u5230\u7aef\u8bad\u7ec3\uff1a\n<ul class=\"wp-block-list\">\n<li>\u795e\u7ecf\u4ea4\u4e92\u5f3a\u5ea6<em>r<\/em><em>i<\/em>\u200b\uff1asigmoid \u51fd\u6570\u8f93\u51fa\uff080-1\uff09\uff0c\u91cf\u5316\u4ea4\u4e92\u5f3a\u5f31\u3002<\/li>\n\n\n\n<li>\u795e\u7ecf\u4ea4\u4e92\u7c7b\u522b<em>c<\/em><em>i<\/em>\u200b\uff1aGumbel-Softmax 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\u66f4\u65b0\u3002<\/li>\n\n\n\n<li>\u591a\u5c3a\u5ea6\u878d\u5408\uff1a\u62fc\u63a5\u667a\u80fd\u4f53\u5728\u6240\u6709\u5c3a\u5ea6\u7684\u5d4c\u5165\uff0c\u5f97\u5230\u7efc\u5408\u5d4c\u5165\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e09\uff09\u57fa\u4e8e CVAE \u7684\u9884\u6d4b\u7cfb\u7edf\uff1a\u96c6\u6210 GroupNet<\/h3>\n\n\n\n<p>\u5c06 GroupNet \u4f5c\u4e3a\u793e\u4ea4\u4ea4\u4e92\u6a21\u5757\u5d4c\u5165 CVAE \u6846\u67b6\uff0c\u5904\u7406\u8f68\u8ff9\u968f\u673a\u6027\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u7f16\u7801\u8fc7\u7a0b<\/strong>\uff1a\u8f93\u5165\u5386\u53f2\u4e0e\u672a\u6765\u8f68\u8ff9\uff0c\u7ecf GroupNet \u7f16\u7801\u4e3a\u5d4c\u5165\uff0c\u751f\u6210 CVAE \u540e\u9a8c\u5206\u5e03\u53c2\u6570\uff0c\u91c7\u6837\u5f97\u5230 latent \u5411\u91cf\uff08\u53cd\u6620\u968f\u673a\u610f\u56fe\uff09\u3002<\/li>\n\n\n\n<li><strong>\u89e3\u7801\u8fc7\u7a0b<\/strong>\uff1a\u7528 latent \u5411\u91cf\u4e0e\u5386\u53f2\u8f68\u8ff9\u5d4c\u5165\u4f5c\u4e3a\u8f93\u5165\uff0c\u901a\u8fc7\u6b8b\u5dee\u89e3\u7801\u5668\u540c\u65f6\u9884\u6d4b\u672a\u6765\u8f68\u8ff9\u3001\u91cd\u5efa\u5386\u53f2\u8f68\u8ff9\uff0c\u907f\u514d\u4fe1\u606f\u4e22\u5931\u3002<\/li>\n\n\n\n<li><strong>\u635f\u5931\u51fd\u6570<\/strong>\uff1a\u542b ELBO \u635f\u5931\uff08\u5e73\u8861\u9884\u6d4b\u51c6\u786e\u6027\u4e0e\u968f\u673a\u6027\uff09\u3001\u91cd\u5efa\u635f\u5931\uff08\u4fdd\u8bc1\u5386\u53f2\u4fe1\u606f\u4e0d\u4e22\u5931\uff09\u3001\u591a\u6837\u6027\u635f\u5931\uff08\u786e\u4fdd\u9884\u6d4b\u591a\u6837\u6027\uff09\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u6c47\u62a5\u7a3f<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u6587\u6863\u57fa\u7840\u4fe1\u606f<\/h2>\n\n\n\n<p>\u8be5\u6587\u6863\u662f\u4e00\u7bc7\u53d1\u8868\u4e8e CVPR 2022 \u7684\u5b66\u672f\u8bba\u6587\uff0c\u6807\u9898\u4e3a\u300aGroupNet: Multiscale Hypergraph Neural Networks for Trajectory Prediction with Relational Reasoning\u300b\uff0c\u7531\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66\u4e0e\u4e0a\u6d77\u4eba\u5de5\u667a\u80fd\u5b9e\u9a8c\u5ba4\u7684\u7814\u7a76\u4eba\u5458\u5408\u4f5c\u5b8c\u6210\uff0c\u4ee3\u7801\u5df2\u5f00\u6e90\uff08\u94fe\u63a5\uff1a<a href=\"https:\/\/github.com\/MediaBrainSJTU\/GroupNet\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/github.com\/MediaBrainSJTU\/GroupNet<\/a>\uff09\ud83d\udd361-1\u3001\ud83d\udd361-3\u3001\ud83d\udd361-15\u3002\u7814\u7a76\u805a\u7126\u591a\u667a\u80fd\u4f53\u8f68\u8ff9\u9884\u6d4b\u4e2d\u7684\u4ea4\u4e92\u5efa\u6a21\u4e0e\u5173\u7cfb\u63a8\u7406\u95ee\u9898\uff0c\u63d0\u51fa\u521b\u65b0\u7684\u591a\u5c3a\u5ea6\u8d85\u56fe\u795e\u7ecf\u7f51\u7edc GroupNet\uff0c\u65e8\u5728\u89e3\u51b3\u4f20\u7edf\u65b9\u6cd5\u4ec5\u80fd\u6355\u6349\u6210\u5bf9\u4ea4\u4e92\u3001\u65e0\u6cd5\u91cf\u5316\u4ea4\u4e92\u5f3a\u5ea6\u7684\u5c40\u9650\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u7814\u7a76\u80cc\u666f\u4e0e\u95ee\u9898\u63d0\u51fa<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u591a\u667a\u80fd\u4f53\u8f68\u8ff9\u9884\u6d4b\u7684\u6838\u5fc3\u5f71\u54cd\u56e0\u7d20<\/strong>\uff1a\u591a\u667a\u80fd\u4f53\u8f68\u8ff9\u9884\u6d4b\u9700\u8003\u8651\u667a\u80fd\u4f53\u81ea\u8eab\u52a8\u91cf\u3001\u77ac\u65f6\u610f\u56fe\u53ca\u793e\u4ea4\u4ea4\u4e92\u4e09\u5927\u56e0\u7d20\u3002\u5176\u4e2d\uff0c\u793e\u4ea4\u4ea4\u4e92\u5efa\u6a21\u662f\u5173\u952e\uff0c\u4f46\u4f20\u7edf\u65b9\u6cd5\u5b58\u5728\u660e\u663e\u4e0d\u8db3\ud83d\udd361-9\u3002<\/li>\n\n\n\n<li><strong>\u4f20\u7edf\u65b9\u6cd5\u7684\u4e24\u5927\u75db\u70b9<\/strong>\uff1a\u4e00\u662f\u4ea4\u4e92\u6355\u6349\u5c40\u9650\uff0c\u4ec5\u5efa\u6a21\u6210\u5bf9\u4ea4\u4e92\uff08\u5982\u4e24\u4e2a\u884c\u4eba\u7684\u907f\u8ba9\uff09\uff0c\u5ffd\u7565\u7fa4\u4f53\u4ea4\u4e92\uff08\u5982\u7bee\u7403\u961f\u534f\u4f5c\u3001\u9c7c\u7fa4\u907f\u9669\uff09\uff1b\u4e8c\u662f\u5173\u7cfb\u63a8\u7406\u5355\u4e00\uff0c\u4ec5\u80fd\u533a\u5206\u4ea4\u4e92\u7c7b\u522b\uff0c\u65e0\u6cd5\u91cf\u5316\u4ea4\u4e92\u5f3a\u5ea6\uff0c\u7f3a\u4e4f\u89e3\u91ca\u6027\ud83d\udd361-12\u3002<\/li>\n\n\n\n<li><strong>\u7814\u7a76\u76ee\u6807<\/strong>\uff1a\u8bbe\u8ba1\u80fd\u540c\u65f6\u6355\u6349\u6210\u5bf9\u4e0e\u7fa4\u4f53\u4ea4\u4e92\u3001\u63a8\u7406\u4ea4\u4e92\u7c7b\u522b\u4e0e\u5f3a\u5ea6\u7684\u6a21\u578b\uff0c\u63d0\u5347\u8f68\u8ff9\u9884\u6d4b\u7684\u51c6\u786e\u6027\u4e0e\u53ef\u89e3\u91ca\u6027\ud83d\udd361-13\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u6838\u5fc3\u65b9\u6cd5\uff1aGroupNet \u67b6\u6784\u8bbe\u8ba1<\/h2>\n\n\n\n<p>GroupNet \u6838\u5fc3\u901a\u8fc7 \u201c\u591a\u5c3a\u5ea6\u8d85\u56fe\u62d3\u6251\u63a8\u7406\u201d \u4e0e \u201c\u591a\u5c3a\u5ea6\u8d85\u56fe\u795e\u7ecf\u6d88\u606f\u4f20\u9012\u201d \u4e24\u5927\u9636\u6bb5\uff0c\u5b9e\u73b0\u5168\u9762\u7684\u4ea4\u4e92\u5efa\u6a21\u4e0e\u5173\u7cfb\u63a8\u7406\uff0c\u6574\u4f53\u67b6\u6784\u5982\u56fe 2 \u6240\u793a\ud83d\udd361-40\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e00\uff09\u591a\u5c3a\u5ea6\u8d85\u56fe\u62d3\u6251\u63a8\u7406\uff1a\u5212\u5206\u4ea4\u4e92\u7fa4\u4f53<\/h3>\n\n\n\n<p>\u8d85\u56fe\u533a\u522b\u4e8e\u666e\u901a\u56fe\uff0c\u5176 \u201c\u8d85\u8fb9\u201d \u53ef\u8fde\u63a5\u22652 \u4e2a\u8282\u70b9\uff08\u7fa4\u4f53\u5173\u7cfb\uff09\uff0c\u8be5\u9636\u6bb5\u901a\u8fc7\u6570\u636e\u9a71\u52a8\u81ea\u52a8\u5b66\u4e60\u8d85\u56fe\u7ed3\u6784\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u4eb2\u548c\u529b\u5efa\u6a21<\/strong>\uff1a\u5c06\u6bcf\u4e2a\u667a\u80fd\u4f53\u7684\u5386\u53f2\u8f68\u8ff9\u7ecf MLP \u7f16\u7801\u4e3a\u8f68\u8ff9\u5d4c\u5165\u5411\u91cf\uff0c\u518d\u7528\u4f59\u5f26\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u667a\u80fd\u4f53\u95f4\u7684\u4eb2\u548c\u529b\u77e9\u9635\uff0c\u53cd\u6620\u8f68\u8ff9\u76f8\u5173\u6027\uff08\u503c\u8d8a\u5927\uff0c\u4ea4\u4e92\u53ef\u80fd\u6027\u8d8a\u9ad8\uff09\ud83d\udd361-41\u3001\ud83d\udd361-42\u3002<\/li>\n\n\n\n<li><strong>\u8d85\u8fb9\u6784\u5efa<\/strong>\uff1a\u57fa\u4e8e\u4eb2\u548c\u529b\u77e9\u9635\u751f\u6210\u591a\u5c3a\u5ea6\u8d85\u56fe<em>G<\/em>={<em>G<\/em>(0),<em>G<\/em>(1),&#8230;,<em>G<\/em>(<em>S<\/em>)}\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5c3a\u5ea6 0\uff08<em>G<\/em>(0)\uff09\uff1a\u5efa\u6a21\u6210\u5bf9\u4ea4\u4e92\uff0c\u6bcf\u4e2a\u667a\u80fd\u4f53\u8fde\u63a5\u4eb2\u548c\u529b\u6700\u9ad8\u7684<em>K<\/em>(0)\u4e2a\u5176\u4ed6\u667a\u80fd\u4f53\uff0c\u5f62\u6210\u666e\u901a\u8fb9\ud83d\udd361-43\u3002<\/li>\n\n\n\n<li>\u5c3a\u5ea6 s\u22651\uff08<em>G<\/em>(<em>s<\/em>)\uff09\uff1a\u5efa\u6a21\u7fa4\u4f53\u4ea4\u4e92\uff0c\u901a\u8fc7\u4f18\u5316\u95ee\u9898\uff08\u6700\u5927\u5316\u7fa4\u4f53\u5185\u4eb2\u548c\u529b\u603b\u548c\uff09\u5bfb\u627e<em>K<\/em>(<em>s<\/em>)\u4e2a\u7d27\u5bc6\u4ea4\u4e92\u7684\u667a\u80fd\u4f53\u7ec4\u6210\u7fa4\u4f53\uff0c\u5f62\u6210\u8d85\u8fb9\uff1b\u667a\u80fd\u4f53\u6570\u91cf\u591a\u65f6\u7528\u8d2a\u5fc3\u7b97\u6cd5\u8fd1\u4f3c\u6c42\u89e3\ud83d\udd361-44\u3001\ud83d\udd361-47\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5173\u8054\u77e9\u9635\u8868\u793a<\/strong>\uff1a\u6bcf\u4e2a\u5c3a\u5ea6\u8d85\u56fe\u7528\u5173\u8054\u77e9\u9635<em>H<\/em>(<em>s<\/em>)\u8868\u793a\uff0c<em>H<\/em><em>i<\/em>,<em>j<\/em>(<em>s<\/em>)\u200b=1\u8868\u793a\u667a\u80fd\u4f53<em>i<\/em>\u5c5e\u4e8e\u7b2c<em>j<\/em>\u6761\u8d85\u8fb9\ud83d\udd361-38\u3002<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e8c\uff09\u591a\u5c3a\u5ea6\u8d85\u56fe\u795e\u7ecf\u6d88\u606f\u4f20\u9012\uff1a\u8868\u793a\u4ea4\u4e92\u5e76\u66f4\u65b0\u72b6\u6001<\/h3>\n\n\n\n<p>\u901a\u8fc7 \u201c\u8282\u70b9\u2192\u8d85\u8fb9\u2192\u8282\u70b9\u201d \u8fed\u4ee3\u6d88\u606f\u4f20\u9012\uff0c\u5b66\u4e60\u667a\u80fd\u4f53\u4e0e\u4ea4\u4e92\u5d4c\u5165\uff0c\u6838\u5fc3\u521b\u65b0\u662f \u201c\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\u201d\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a<\/strong>\uff1a\u6bcf\u6761\u8d85\u8fb9\u7684\u5d4c\u5165\u542b\u4e09\u90e8\u5206\uff0c\u5747\u7aef\u5230\u7aef\u8bad\u7ec3\uff1a\n<ul class=\"wp-block-list\">\n<li>\u795e\u7ecf\u4ea4\u4e92\u5f3a\u5ea6<em>r<\/em><em>i<\/em>\u200b\uff1asigmoid \u51fd\u6570\u8f93\u51fa\uff080-1\uff09\uff0c\u91cf\u5316\u4ea4\u4e92\u5f3a\u5f31\ud83d\udd361-58\u3002<\/li>\n\n\n\n<li>\u795e\u7ecf\u4ea4\u4e92\u7c7b\u522b<em>c<\/em><em>i<\/em>\u200b\uff1aGumbel-Softmax \u8f93\u51fa\uff0c\u53cd\u6620\u4ea4\u4e92\u7c7b\u578b\uff08\u5982\u907f\u8ba9\u3001\u8ddf\u968f\uff09\ud83d\udd361-58\u3002<\/li>\n\n\n\n<li>\u7c7b\u522b\u4e13\u5c5e\u51fd\u6570F\u2113\u200b\uff1a\u4e3a\u6bcf\u4e2a\u7c7b\u522b\u8bbe\u8ba1\u72ec\u7acb MLP\uff0c\u5efa\u6a21\u4ea4\u4e92\u89c4\u5219\ud83d\udd361-55\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6d88\u606f\u4f20\u9012\u6d41\u7a0b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8282\u70b9\u2192\u8d85\u8fb9\uff1a\u8ba1\u7b97\u8d85\u8fb9\u5185\u667a\u80fd\u4f53\u7684 \u201c\u7fa4\u4f53\u96c6\u4f53\u5d4c\u5165\u201d\uff0c\u751f\u6210\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\uff0c\u805a\u5408\u4e3a\u8d85\u8fb9\u5d4c\u5165\ud83d\udd361-56\u3001\ud83d\udd361-57\u3002<\/li>\n\n\n\n<li>\u8d85\u8fb9\u2192\u8282\u70b9\uff1a\u6c47\u603b\u667a\u80fd\u4f53\u6240\u5c5e\u8d85\u8fb9\u5d4c\u5165\uff0c\u4e0e\u81ea\u8eab\u5d4c\u5165\u62fc\u63a5\u540e\u7ecf MLP \u66f4\u65b0\ud83d\udd361-59\u3002<\/li>\n\n\n\n<li>\u591a\u5c3a\u5ea6\u878d\u5408\uff1a\u62fc\u63a5\u667a\u80fd\u4f53\u5728\u6240\u6709\u5c3a\u5ea6\u7684\u5d4c\u5165\uff0c\u5f97\u5230\u7efc\u5408\u5d4c\u5165\ud83d\udd361-62\u3001\ud83d\udd361-63\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e09\uff09\u57fa\u4e8e CVAE \u7684\u9884\u6d4b\u7cfb\u7edf\uff1a\u96c6\u6210 GroupNet<\/h3>\n\n\n\n<p>\u5c06 GroupNet \u4f5c\u4e3a\u793e\u4ea4\u4ea4\u4e92\u6a21\u5757\u5d4c\u5165 CVAE \u6846\u67b6\uff0c\u5904\u7406\u8f68\u8ff9\u968f\u673a\u6027\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u7f16\u7801\u8fc7\u7a0b<\/strong>\uff1a\u8f93\u5165\u5386\u53f2\u4e0e\u672a\u6765\u8f68\u8ff9\uff0c\u7ecf GroupNet \u7f16\u7801\u4e3a\u5d4c\u5165\uff0c\u751f\u6210 CVAE \u540e\u9a8c\u5206\u5e03\u53c2\u6570\uff0c\u91c7\u6837\u5f97\u5230 latent \u5411\u91cf\uff08\u53cd\u6620\u968f\u673a\u610f\u56fe\uff09\ud83d\udd361-71\u3001\ud83d\udd361-72\u3002<\/li>\n\n\n\n<li><strong>\u89e3\u7801\u8fc7\u7a0b<\/strong>\uff1a\u7528 latent \u5411\u91cf\u4e0e\u5386\u53f2\u8f68\u8ff9\u5d4c\u5165\u4f5c\u4e3a\u8f93\u5165\uff0c\u901a\u8fc7\u6b8b\u5dee\u89e3\u7801\u5668\u540c\u65f6\u9884\u6d4b\u672a\u6765\u8f68\u8ff9\u3001\u91cd\u5efa\u5386\u53f2\u8f68\u8ff9\uff0c\u907f\u514d\u4fe1\u606f\u4e22\u5931\ud83d\udd361-73\u3002<\/li>\n\n\n\n<li><strong>\u635f\u5931\u51fd\u6570<\/strong>\uff1a\u542b ELBO \u635f\u5931\uff08\u5e73\u8861\u9884\u6d4b\u51c6\u786e\u6027\u4e0e\u968f\u673a\u6027\uff09\u3001\u91cd\u5efa\u635f\u5931\uff08\u4fdd\u8bc1\u5386\u53f2\u4fe1\u606f\u4e0d\u4e22\u5931\uff09\u3001\u591a\u6837\u6027\u635f\u5931\uff08\u786e\u4fdd\u9884\u6d4b\u591a\u6837\u6027\uff09\ud83d\udd361-74\u3002<\/li>\n<\/ol>\n\n\n\n<p>GroupNet \u7684\u6d88\u606f\u4f20\u9012\u6d41\u7a0b\u662f \u201c\u8282\u70b9\u2192\u8d85\u8fb9\u2192\u8282\u70b9\u2192\u591a\u5c3a\u5ea6\u878d\u5408\u201d \u7684\u8fed\u4ee3\u8fc7\u7a0b\uff0c\u6838\u5fc3\u662f\u901a\u8fc7\u8d85\u56fe\u7ed3\u6784\u5b9e\u73b0 \u201c\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81\u63d0\u53d6\u201d \u4e0e \u201c\u4e2a\u4f53\u5d4c\u5165\u66f4\u65b0\u201d\uff0c\u6bcf\u4e00\u6b65\u5747\u6709\u660e\u786e\u7684\u6570\u5b66\u5b9a\u4e49\u4e0e\u5b9e\u73b0\u903b\u8f91\uff0c\u4ee5\u4e0b\u7ed3\u5408\u8bba\u6587 4.2 \u8282\u5c55\u5f00\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u8282\u70b9\u2192\u8d85\u8fb9\uff1a\u751f\u6210\u8d85\u8fb9\u5d4c\u5165\uff08\u5bf9\u5e94 1-56\u30011-57\uff09<\/h3>\n\n\n\n<p>\u8fd9\u4e00\u9636\u6bb5\u7684\u6838\u5fc3\u662f<strong>\u5c06\u8d85\u8fb9\u5185\u591a\u4e2a\u667a\u80fd\u4f53\u7684\u4e2a\u4f53\u7279\u5f81\u805a\u5408\u4e3a\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81<\/strong>\uff0c\u5e76\u901a\u8fc7 \u201c\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\u201d \u91cf\u5316\u7fa4\u4f53\u4ea4\u4e92\u7684\u5c5e\u6027\uff0c\u6700\u7ec8\u5f62\u6210\u8d85\u8fb9\u5d4c\u5165\u3002\u8bba\u6587\u4e2d\u901a\u8fc7 \u201c\u7fa4\u4f53\u96c6\u4f53\u5d4c\u5165\u8ba1\u7b97\u2192\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\u751f\u6210\u2192\u8d85\u8fb9\u5d4c\u5165\u805a\u5408\u201d \u4e09\u6b65\u5b9e\u73b0\uff1a<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\uff081\uff09\u7b2c\u4e00\u6b65\uff1a\u8ba1\u7b97 \u201c\u7fa4\u4f53\u96c6\u4f53\u5d4c\u5165\u201d\uff08\u8bba\u6587 4.2 \u8282 Node-to-hyperedge phase\uff09<\/h4>\n\n\n\n<p>\u7fa4\u4f53\u96c6\u4f53\u5d4c\u5165\u662f\u8d85\u8fb9\u5185\u6240\u6709\u667a\u80fd\u4f53\u7684 \u201c\u52a0\u6743\u7279\u5f81\u603b\u548c\u201d\uff0c\u7528\u4e8e\u53cd\u6620\u7fa4\u4f53\u7684\u6574\u4f53\u4ea4\u4e92\u72b6\u6001\uff0c\u907f\u514d\u5355\u4e00\u667a\u80fd\u4f53\u7279\u5f81\u4e3b\u5bfc\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5177\u4f53\u8ba1\u7b97\uff1a\u5bf9\u7b2c<em>i<\/em>\u6761\u8d85\u8fb9<em>e<\/em><em>i<\/em>\u200b\uff08\u5305\u542b<em>K<\/em>(<em>s<\/em>)\u4e2a\u667a\u80fd\u4f53\uff0c<em>s<\/em>\u4e3a\u5c3a\u5ea6\uff09\uff0c\u5176\u96c6\u4f53\u5d4c\u5165<em>z<\/em><em>i<\/em>\u200b\u7684\u516c\u5f0f\u4e3a\uff1a<em>z<\/em><em>i<\/em>\u200b=\u2211<em>v<\/em><em>j<\/em>\u200b\u2208<em>e<\/em><em>i<\/em>\u200b\u200b<em>w<\/em><em>j<\/em>\u200b\u22c5<em>v<\/em><em>j<\/em>\u200b\u5176\u4e2d\uff1a\n<ul class=\"wp-block-list\">\n<li><em>v<\/em><em>j<\/em>\u200b\uff1a\u8d85\u8fb9\u5185\u7b2c<em>j<\/em>\u4e2a\u667a\u80fd\u4f53\u7684\u5f53\u524d\u5d4c\u5165\uff08\u521d\u59cb\u5d4c\u5165\u6765\u81ea\u8f68\u8ff9\u7f16\u7801<em>q<\/em><em>j<\/em>\u200b\uff0c\u89c1 4.1 \u8282\u4eb2\u548c\u529b\u5efa\u6a21\uff09\uff1b<\/li>\n\n\n\n<li><em>w<\/em><em>j<\/em>\u200b\uff1a\u667a\u80fd\u4f53<em>j<\/em>\u5bf9\u7fa4\u4f53\u7684\u8d21\u732e\u6743\u91cd\uff0c\u7531 MLP<em>F<\/em><em>w<\/em>\u200b(\u22c5)\u8ba1\u7b97\uff1a<em>w<\/em><em>j<\/em>\u200b=<em>F<\/em><em>w<\/em>\u200b(<em>v<\/em><em>j<\/em>\u200b,\u2211<em>v<\/em><em>m<\/em>\u200b\u2208<em>e<\/em><em>i<\/em>\u200b\u200b<em>v<\/em><em>m<\/em>\u200b)\u3002\u8fd9\u91cc\u7684\u6743\u91cd\u8bbe\u8ba1\u5f88\u5173\u952e \u2014\u2014 \u5b83\u4e0d\u662f\u56fa\u5b9a\u7684\u5e73\u5747\u6743\u91cd\uff0c\u800c\u662f\u7ed3\u5408 \u201c\u4e2a\u4f53\u7279\u5f81\u201d \u4e0e \u201c\u7fa4\u4f53\u603b\u7279\u5f81\u201d \u52a8\u6001\u8ba1\u7b97\uff08\u4f8b\u5982\uff0c\u5728\u7bee\u7403\u9632\u5b88\u7fa4\u4f53\u4e2d\uff0c\u6838\u5fc3\u9632\u5b88\u7403\u5458\u7684<em>w<\/em><em>j<\/em>\u200b\u4f1a\u66f4\u9ad8\uff09\uff0c\u786e\u4fdd\u7fa4\u4f53\u7279\u5f81\u80fd\u53cd\u6620\u667a\u80fd\u4f53\u7684\u5dee\u5f02\u5316\u8d21\u732e\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\uff082\uff09\u7b2c\u4e8c\u6b65\uff1a\u751f\u6210 \u201c\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\u201d\uff08\u8bba\u6587 4.2 \u8282\u6838\u5fc3\u521b\u65b0\uff09<\/h4>\n\n\n\n<p>\u57fa\u4e8e\u7fa4\u4f53\u96c6\u4f53\u5d4c\u5165<em>z<\/em><em>i<\/em>\u200b\uff0c\u901a\u8fc7\u4e09\u4e2a\u72ec\u7acb\u7684\u53ef\u8bad\u7ec3\u6a21\u5757\u751f\u6210 \u201c\u4ea4\u4e92\u5f3a\u5ea6\u3001\u4ea4\u4e92\u7c7b\u522b\u3001\u7c7b\u522b\u4e13\u5c5e\u51fd\u6570\u201d\uff0c\u8fd9\u662f GroupNet \u533a\u522b\u4e8e\u4f20\u7edf\u56fe\u6a21\u578b\u7684\u6838\u5fc3\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2460 \u795e\u7ecf\u4ea4\u4e92\u5f3a\u5ea6<em>r<\/em><em>i<\/em>\u200b\uff1a\u91cf\u5316\u7fa4\u4f53\u5185\u4ea4\u4e92\u7684\u5f3a\u5f31\uff08\u5982 \u201c\u5f3a\u907f\u8ba9\u201d<em>r<\/em><em>i<\/em>\u200b=0.9\u3001\u201c\u5f31\u8ddf\u968f\u201d<em>r<\/em><em>i<\/em>\u200b=0.3\uff09\uff0c\u516c\u5f0f\u4e3a\uff1a<em>r<\/em><em>i<\/em>\u200b=<em>\u03c3<\/em>(<em>F<\/em><em>r<\/em>\u200b(<em>z<\/em><em>i<\/em>\u200b))\u5176\u4e2d<em>\u03c3<\/em>(\u22c5)\u662f sigmoid \u51fd\u6570\uff0c\u5c06\u5f3a\u5ea6\u7ea6\u675f\u5728[0,1]\u533a\u95f4\uff1b<em>F<\/em><em>r<\/em>\u200b(\u22c5)\u662f 3 \u5c42 ReLU-MLP\uff0c\u4ece\u96c6\u4f53\u5d4c\u5165\u4e2d\u63d0\u53d6\u5f3a\u5ea6\u7279\u5f81\u3002<\/li>\n\n\n\n<li>\u2461 \u795e\u7ecf\u4ea4\u4e92\u7c7b\u522b<em>c<\/em><em>i<\/em>\u200b\uff1a\u8bc6\u522b\u7fa4\u4f53\u4ea4\u4e92\u7684\u7c7b\u578b\uff08\u5982 \u201c\u907f\u8ba9\u201d\u201c\u534f\u4f5c\u201d\u201c\u81ea\u7531\u8fd0\u52a8\u201d\uff09\uff0c\u516c\u5f0f\u4e3a\uff1a<em>c<\/em><em>i<\/em>\u200b=<em>so<\/em><em>f<\/em><em>t<\/em><em>ma<\/em><em>x<\/em>(<em>\u03c4<\/em><em>F<\/em><em>c<\/em>\u200b(<em>z<\/em><em>i<\/em>\u200b)+<em>g<\/em>\u200b)\u5176\u4e2d\uff1a\n<ul class=\"wp-block-list\">\n<li><em>F<\/em><em>c<\/em>\u200b(\u22c5)\uff1a3 \u5c42 ReLU-MLP\uff0c\u8f93\u51fa<em>L<\/em>\u7ef4\u7279\u5f81\uff08<em>L<\/em>\u4e3a\u9884\u8bbe\u4ea4\u4e92\u7c7b\u522b\u6570\uff0c\u5982\u8bba\u6587\u5b9e\u9a8c\u4e2d\u8bbe<em>L<\/em>=2\u6216<em>L<\/em>=3\uff09\uff1b<\/li>\n\n\n\n<li><em>g<\/em>\uff1aGumbel (0,1) \u5206\u5e03\u91c7\u6837\u7684\u566a\u58f0\u5411\u91cf\uff0c\u7528\u4e8e\u589e\u52a0\u7c7b\u522b\u63a8\u7406\u7684\u9c81\u68d2\u6027\uff1b<\/li>\n\n\n\n<li><em>\u03c4<\/em>\uff1a\u6e29\u5ea6\u53c2\u6570\uff0c\u63a7\u5236\u7c7b\u522b\u5206\u5e03\u7684\u5e73\u6ed1\u5ea6\uff08\u8bad\u7ec3\u521d\u671f<em>\u03c4<\/em>\u5927\uff0c\u5206\u5e03\u5e73\u6ed1\uff1b\u540e\u671f<em>\u03c4<\/em>\u51cf\u5c0f\uff0c\u5206\u5e03\u66f4\u5c16\u9510\uff09\uff1b<\/li>\n\n\n\n<li>\u6700\u7ec8<em>c<\/em><em>i<\/em>\u200b\u662f<em>L<\/em>\u7ef4\u6982\u7387\u5411\u91cf\uff08\u5982<em>c<\/em><em>i<\/em>\u200b=[0.9,0.1,0]\u8868\u793a \u201c90% \u6982\u7387\u4e3a\u907f\u8ba9\u7c7b\u201d\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u2462 \u7c7b\u522b\u4e13\u5c5e\u51fd\u6570F\u2113\u200b\uff1a\u4e3a\u6bcf\u4e2a\u4ea4\u4e92\u7c7b\u522b\u8bbe\u8ba1\u72ec\u7acb\u7684 MLP\uff0c\u5efa\u6a21\u8be5\u7c7b\u522b\u7279\u6709\u7684\u4ea4\u4e92\u89c4\u5219\uff08\u5982 \u201c\u907f\u8ba9\u7c7b\u201d \u9700\u8ba9\u667a\u80fd\u4f53\u8fdc\u79bb\u7fa4\u4f53\u4e2d\u5fc3\uff0c\u201c\u534f\u4f5c\u7c7b\u201d \u9700\u8ba9\u667a\u80fd\u4f53\u9760\u8fd1\u7fa4\u4f53\u4e2d\u5fc3\uff09\u3002\u8bba\u6587\u4e2d\u6bcf\u4e2aF\u2113\u200b\u5747\u4e3a 3 \u5c42 ReLU-MLP\uff0c\u53c2\u6570\u72ec\u7acb\u8bad\u7ec3\uff0c\u907f\u514d\u4e0d\u540c\u7c7b\u522b\u7684\u4ea4\u4e92\u89c4\u5219\u76f8\u4e92\u5e72\u6270\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\uff083\uff09\u7b2c\u4e09\u6b65\uff1a\u805a\u5408\u4e3a\u8d85\u8fb9\u5d4c\u5165<em>e<\/em><em>i<\/em>\u200b\uff08\u8bba\u6587 4.2 \u8282\u516c\u5f0f 3\uff09<\/h4>\n\n\n\n<p>\u5c06\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\u878d\u5408\u4e3a\u8d85\u8fb9\u7684\u6700\u7ec8\u5d4c\u5165\uff0c\u516c\u5f0f\u4e3a\uff1a<em>e<\/em><em>i<\/em>\u200b=<em>r<\/em><em>i<\/em>\u200b\u22c5\u2211\u2113=1<em>L<\/em>\u200b<em>c<\/em><em>i<\/em>,\u2113\u200b\u22c5F\u2113\u200b(\u2211<em>v<\/em><em>j<\/em>\u200b\u2208<em>e<\/em><em>i<\/em>\u200b\u200b<em>v<\/em><em>j<\/em>\u200b)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u62c6\u89e3\u7406\u89e3\uff1a\n<ul class=\"wp-block-list\">\n<li>\u2211<em>v<\/em><em>j<\/em>\u200b\u2208<em>e<\/em><em>i<\/em>\u200b\u200b<em>v<\/em><em>j<\/em>\u200b\uff1a\u8d85\u8fb9\u5185\u667a\u80fd\u4f53\u7684 \u201c\u672a\u52a0\u6743\u7279\u5f81\u548c\u201d\uff0c\u4f5c\u4e3a\u7c7b\u522b\u4e13\u5c5e\u51fd\u6570\u7684\u8f93\u5165\uff1b<\/li>\n\n\n\n<li><em>c<\/em><em>i<\/em>,\u2113\u200b\u22c5F\u2113\u200b(\u22c5)\uff1a\u5bf9\u6bcf\u4e2a\u7c7b\u522b\uff0c\u7528\u7c7b\u522b\u6982\u7387<em>c<\/em><em>i<\/em>,\u2113\u200b\u52a0\u6743\u5176\u4e13\u5c5e\u51fd\u6570\u7684\u8f93\u51fa\uff08\u4f8b\u5982\uff0c\u82e5<em>c<\/em><em>i<\/em>,1\u200b=0.9\uff08\u907f\u8ba9\u7c7b\uff09\uff0c\u5219\u4e3b\u8981\u4fdd\u7559\u907f\u8ba9\u7c7b\u51fd\u6570\u7684\u8f93\u51fa\uff09\uff1b<\/li>\n\n\n\n<li><em>r<\/em><em>i<\/em>\u200b\u22c5(\u22c5)\uff1a\u7528\u4ea4\u4e92\u5f3a\u5ea6<em>r<\/em><em>i<\/em>\u200b\u7f29\u653e\u6574\u4f53\u7279\u5f81\uff0c\u786e\u4fdd\u5f3a\u4ea4\u4e92\u7fa4\u4f53\u7684\u5d4c\u5165\u4fe1\u53f7\u66f4\u5f3a\uff08\u5982\u7bee\u7403\u9632\u5b88\u7fa4\u4f53\u7684<em>e<\/em><em>i<\/em>\u200b\u4f1a\u6bd4\u677e\u6563\u884c\u4eba\u7fa4\u4f53\u7684<em>e<\/em><em>i<\/em>\u200b\u66f4\u663e\u8457\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u8d85\u8fb9\u2192\u8282\u70b9\uff1a\u66f4\u65b0\u667a\u80fd\u4f53\u5d4c\u5165\uff08\u5bf9\u5e94 1-59\uff09<\/h3>\n\n\n\n<p>\u8fd9\u4e00\u9636\u6bb5\u7684\u6838\u5fc3\u662f<strong>\u5c06\u8d85\u8fb9\u7684\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81 \u201c\u53cd\u9988\u201d \u7ed9\u4e2a\u4f53\u667a\u80fd\u4f53<\/strong>\uff0c\u66f4\u65b0\u667a\u80fd\u4f53\u7684\u5d4c\u5165\uff0c\u4f7f\u5176\u5305\u542b\u7fa4\u4f53\u4ea4\u4e92\u7684\u5f71\u54cd\uff08\u4f8b\u5982\uff0c\u884c\u4eba\u5d4c\u5165\u4f1a\u878d\u5165 \u201c\u5468\u56f4\u907f\u8ba9\u7fa4\u4f53\u201d \u7684\u7279\u5f81\uff0c\u4ece\u800c\u8c03\u6574\u672a\u6765\u8f68\u8ff9\uff09\u3002\u8bba\u6587\u4e2d\u901a\u8fc7 \u201c\u8d85\u8fb9\u5d4c\u5165\u6c47\u603b\u2192\u5d4c\u5165\u62fc\u63a5\u2192MLP \u66f4\u65b0\u201d \u4e09\u6b65\u5b9e\u73b0\uff1a<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\uff081\uff09\u7b2c\u4e00\u6b65\uff1a\u6c47\u603b\u667a\u80fd\u4f53\u6240\u5c5e\u7684\u6240\u6709\u8d85\u8fb9\u5d4c\u5165<\/h4>\n\n\n\n<p>\u6bcf\u4e2a\u667a\u80fd\u4f53\u53ef\u80fd\u540c\u65f6\u5c5e\u4e8e\u591a\u4e2a\u8d85\u8fb9\uff08\u4f8b\u5982\uff0c\u7bee\u7403\u8fd0\u52a8\u5458\u65e2\u5c5e\u4e8e \u201c\u9632\u5b88\u7fa4\u4f53\u201d \u8d85\u8fb9\uff0c\u4e5f\u5c5e\u4e8e \u201c\u540c\u961f\u7403\u5458\u201d \u8d85\u8fb9\uff09\uff0c\u56e0\u6b64\u9700\u8981\u6c47\u603b\u5176\u5173\u8054\u7684\u6240\u6709\u8d85\u8fb9\u5d4c\u5165\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5177\u4f53\u64cd\u4f5c\uff1a\u5bf9\u7b2c<em>i<\/em>\u4e2a\u667a\u80fd\u4f53<em>v<\/em><em>i<\/em>\u200b\uff0c\u5148\u627e\u5230\u5176\u6240\u5c5e\u7684\u8d85\u8fb9\u96c6\u5408<em>E<\/em><em>i<\/em>\u200b={<em>e<\/em><em>j<\/em>\u200b\u2223<em>v<\/em><em>i<\/em>\u200b\u2208<em>e<\/em><em>j<\/em>\u200b}\uff08\u7531 4.1 \u8282\u8d85\u56fe\u62d3\u6251\u63a8\u7406\u7684\u5173\u8054\u77e9\u9635<em>H<\/em>(<em>s<\/em>)\u786e\u5b9a\uff1a<em>H<\/em><em>i<\/em>,<em>j<\/em>(<em>s<\/em>)\u200b=1\u8868\u793a<em>v<\/em><em>i<\/em>\u200b\u5c5e\u4e8e<em>e<\/em><em>j<\/em>\u200b\uff09\uff0c\u518d\u8ba1\u7b97\u8fd9\u4e9b\u8d85\u8fb9\u5d4c\u5165\u7684\u603b\u548c\u2211<em>e<\/em><em>j<\/em>\u200b\u2208<em>E<\/em><em>i<\/em>\u200b\u200b<em>e<\/em><em>j<\/em>\u200b\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\uff082\uff09\u7b2c\u4e8c\u6b65\uff1a\u62fc\u63a5\u4e0e\u66f4\u65b0\u667a\u80fd\u4f53\u5d4c\u5165<\/h4>\n\n\n\n<p>\u5c06 \u201c\u667a\u80fd\u4f53\u5f53\u524d\u5d4c\u5165\u201d \u4e0e \u201c\u6240\u5c5e\u8d85\u8fb9\u5d4c\u5165\u603b\u548c\u201d \u62fc\u63a5\uff0c\u901a\u8fc7 MLP \u878d\u5408\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81\uff0c\u5f97\u5230\u66f4\u65b0\u540e\u7684\u5d4c\u5165\u3002\u516c\u5f0f\u4e3a\uff08\u8bba\u6587 4.2 \u8282 Hyperedge-to-node phase\uff09\uff1a<em>v<\/em><em>i<\/em>\u200b\u2190<em>f<\/em><em>v<\/em>\u200b([<em>v<\/em><em>i<\/em>\u200b,\u2211<em>e<\/em><em>j<\/em>\u200b\u2208<em>E<\/em><em>i<\/em>\u200b\u200b<em>e<\/em><em>j<\/em>\u200b])<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5173\u952e\u8bbe\u8ba1\uff1a\n<ul class=\"wp-block-list\">\n<li>[\u22c5,\u22c5]\uff1a\u5d4c\u5165\u62fc\u63a5\u64cd\u4f5c\uff0c\u786e\u4fdd\u667a\u80fd\u4f53\u4fdd\u7559 \u201c\u4e2a\u4f53\u7279\u5f81\u201d\uff08\u5982\u81ea\u8eab\u52a8\u91cf\uff09\u7684\u540c\u65f6\uff0c\u5438\u6536 \u201c\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81\u201d\uff08\u5982\u9632\u5b88\u7fa4\u4f53\u7684\u907f\u8ba9\u8981\u6c42\uff09\uff1b<\/li>\n\n\n\n<li><em>f<\/em><em>v<\/em>\u200b(\u22c5)\uff1a3 \u5c42 ReLU-MLP\uff0c\u8d1f\u8d23\u5c06 \u201c\u4e2a\u4f53 + \u7fa4\u4f53\u201d 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\u8282\u672b\u5c3e\uff09\uff1a<em>v<\/em><em>i<\/em>\u200b=[<em>v<\/em><em>i<\/em>(0)\u200b,<em>v<\/em><em>i<\/em>(1)\u200b,\u22ef,<em>v<\/em><em>i<\/em>(<em>S<\/em>)\u200b]\u2208R<em>d<\/em>\u22c5(<em>S<\/em>+1)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f8b\u5982\uff1a\u82e5\u6bcf\u4e2a\u5c3a\u5ea6\u7684\u5d4c\u5165\u7ef4\u5ea6<em>d<\/em>=64\uff0c\u5171 3 \u4e2a\u5c3a\u5ea6\uff08<em>s<\/em>=0,1,2\uff09\uff0c\u5219\u7efc\u5408\u5d4c\u5165\u7ef4\u5ea6\u4e3a64\u00d73=192\uff0c\u540c\u65f6\u5305\u542b \u201c\u6210\u5bf9\u4ea4\u4e92\uff08<em>s<\/em>=0\uff09\u30013 \u4eba\u7fa4\u4f53\uff08<em>s<\/em>=1\uff09\u30015 \u4eba\u7fa4\u4f53\uff08<em>s<\/em>=2\uff09\u201d \u7684\u7279\u5f81\u3002<\/li>\n\n\n\n<li>\u8bbe\u8ba1\u4f18\u52bf\uff1a\u8fd9\u79cd \u201c\u76f4\u63a5\u62fc\u63a5\u201d \u7684\u65b9\u5f0f\u6bd4\u52a0\u6743\u878d\u5408\u66f4\u7b80\u5355\u4e14\u6709\u6548 \u2014\u2014 \u8bba\u6587 6.4 \u8282\u6d88\u878d\u5b9e\u9a8c\uff08\u8868 6\uff09\u9a8c\u8bc1\uff0c\u5f53\u5c3a\u5ea6\u4ece 1\uff08\u4ec5\u6210\u5bf9\uff09\u589e\u52a0\u5230 4\uff081,2,5,11 \u4eba\uff09\u65f6\uff0cNBA \u6570\u636e\u96c6\u7684<em>min<\/em><em>A<\/em><em>D<\/em><em>E<\/em>20\u200b\u4ece 1.27m \u964d\u81f3 1.13m\uff0c\u8bc1\u660e\u591a\u5c3a\u5ea6\u7279\u5f81\u7684\u4e92\u8865\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">\u57fa\u4e8e CVAE \u7684\u9884\u6d4b\u7cfb\u7edf\uff1aGroupNet \u96c6\u6210\u903b\u8f91\u4e0e\u7ec6\u8282\u89e3\u6790\uff08\u57fa\u4e8e groupnet.pdf\uff09<\/h1>\n\n\n\n<p>\u5728 GroupNet \u8bba\u6587\u4e2d\uff0c\u57fa\u4e8e CVAE\uff08\u6761\u4ef6\u53d8\u5206\u81ea\u7f16\u7801\u5668\uff09\u7684\u9884\u6d4b\u7cfb\u7edf\u662f\u5c06 \u201c\u7fa4\u4f53\u4ea4\u4e92\u5efa\u6a21\u201d \u4e0e \u201c\u8f68\u8ff9\u968f\u673a\u6027\u5904\u7406\u201d \u7ed3\u5408\u7684\u6838\u5fc3\u6846\u67b6 \u2014\u2014 \u901a\u8fc7\u5c06 GroupNet \u4f5c\u4e3a\u793e\u4ea4\u4ea4\u4e92\u6a21\u5757\u5d4c\u5165 CVAE\uff0c\u65e2\u89e3\u51b3\u4e86\u4f20\u7edf CVAE \u5ffd\u7565\u7fa4\u4f53\u4ea4\u4e92\u7684\u7f3a\u9677\uff0c\u53c8\u5229\u7528 CVAE \u7684\u6982\u7387\u751f\u6210\u80fd\u529b\u5904\u7406\u8f68\u8ff9\u9884\u6d4b\u4e2d\u7684\u4e0d\u786e\u5b9a\u6027\uff08\u5982\u884c\u4eba\u53ef\u80fd\u8d70\u5de6\u6216\u8d70\u53f3\u7684\u591a\u6a21\u6001\u6027\uff09\u3002\u4ee5\u4e0b\u4ece<strong>\u7f16\u7801\u8fc7\u7a0b\u3001\u89e3\u7801\u8fc7\u7a0b\u3001\u635f\u5931\u51fd\u6570<\/strong>\u4e09\u90e8\u5206\u5c55\u5f00\u8be6\u7ec6\u89e3\u6790\uff0c\u6240\u6709\u903b\u8f91\u5747\u5bf9\u5e94\u8bba\u6587 5 \u8282 \u201cPrediction System with GroupNet\u201d \u4e0e 6 \u8282\u5b9e\u9a8c\u9a8c\u8bc1\u5185\u5bb9\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u7f16\u7801\u8fc7\u7a0b\uff1a\u4ece\u8f68\u8ff9\u5230 Latent \u5411\u91cf \u2014\u2014 \u6355\u6349 \u201c\u4ea4\u4e92 + \u610f\u56fe\u201d \u7279\u5f81<\/h2>\n\n\n\n<p>\u7f16\u7801\u8fc7\u7a0b\u7684\u6838\u5fc3\u76ee\u6807\u662f\uff1a\u5c06\u591a\u667a\u80fd\u4f53\u7684\u5386\u53f2\u8f68\u8ff9\u4e0e\u672a\u6765\u8f68\u8ff9\uff08\u8bad\u7ec3\u9636\u6bb5\uff09\u901a\u8fc7 GroupNet \u63d0\u53d6\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81\uff0c\u518d\u751f\u6210 CVAE \u7684\u540e\u9a8c\u5206\u5e03\u53c2\u6570\uff0c\u6700\u7ec8\u91c7\u6837\u5f97\u5230\u53cd\u6620 \u201c\u667a\u80fd\u4f53\u968f\u673a\u610f\u56fe\u201d \u7684 latent \u5411\u91cf\uff08\u6f5c\u5728\u53d8\u91cf\uff09\u3002\u8be5\u8fc7\u7a0b\u5728\u8bba\u6587\u4e2d\u901a\u8fc7\u6570\u5b66\u516c\u5f0f\u660e\u786e\u5b9a\u4e49\uff0c\u5206\u4e3a<strong>\u7279\u5f81\u7f16\u7801\u3001\u5206\u5e03\u751f\u6210\u3001latent \u91c7\u6837<\/strong>\u4e09\u6b65\uff0c\u5177\u4f53\u5982\u4e0b\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u7b2c\u4e00\u6b65\uff1aGroupNet \u7f16\u7801 \u2014\u2014 \u63d0\u53d6 \u201c\u5386\u53f2 + \u672a\u6765\u201d \u7684\u7fa4\u4f53\u4ea4\u4e92\u5d4c\u5165<\/h3>\n\n\n\n<p>\u7f16\u7801\u8fc7\u7a0b\u9996\u5148\u901a\u8fc7 GroupNet \u5206\u522b\u5bf9 \u201c\u5386\u53f2\u8f68\u8ff9\u201d \u548c \u201c\u672a\u6765\u8f68\u8ff9\u201d \u8fdb\u884c\u7279\u5f81\u7f16\u7801\uff0c\u5f97\u5230\u4e24\u7c7b\u7fa4\u4f53\u4ea4\u4e92\u5d4c\u5165\uff0c\u516c\u5f0f\u4e3a\uff08\u8bba\u6587 5.1 \u8282 Encoding process\uff09\uff1a<em>V<\/em>\u2212=M<em>p<\/em>\u200b(X\u2212),<em>V<\/em>+=M<em>f<\/em>\u200b(X+)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b26\u53f7\u5b9a\u4e49\uff1a\n<ul class=\"wp-block-list\">\n<li>X\u2212\u2208R<em>N<\/em>\u00d7<em>T<\/em><em>p<\/em>\u200b\u00d72\uff1a\u6240\u6709<em>N<\/em>\u4e2a\u667a\u80fd\u4f53\u7684\u5386\u53f2\u8f68\u8ff9\uff08<em>T<\/em><em>p<\/em>\u200b\u4e3a\u5386\u53f2\u65f6\u95f4\u6b65\uff0c\u5982 NBA \u6570\u636e\u96c6\u4e2d<em>T<\/em><em>p<\/em>\u200b=5\uff0c\u5bf9\u5e94 2 \u79d2\uff09\uff1b<\/li>\n\n\n\n<li>X+\u2208R<em>N<\/em>\u00d7<em>T<\/em><em>f<\/em>\u200b\u00d72\uff1a\u6240\u6709\u667a\u80fd\u4f53\u7684\u672a\u6765\u8f68\u8ff9\uff08<em>T<\/em><em>f<\/em>\u200b\u4e3a\u672a\u6765\u65f6\u95f4\u6b65\uff0c\u5982 NBA \u6570\u636e\u96c6\u4e2d<em>T<\/em><em>f<\/em>\u200b=10\uff0c\u5bf9\u5e94 4 \u79d2\uff09\uff1b<\/li>\n\n\n\n<li>M<em>p<\/em>\u200b(\u22c5)\u00a0\/\u00a0M<em>f<\/em>\u200b(\u22c5)\uff1a\u5373 GroupNet \u6a21\u5757\uff08\u53c2\u6570\u5171\u4eab\uff09\uff0c\u8f93\u5165\u8f68\u8ff9\u540e\uff0c\u901a\u8fc7 \u201c\u591a\u5c3a\u5ea6\u8d85\u56fe\u62d3\u6251\u63a8\u7406\u201d \u548c \u201c\u795e\u7ecf\u6d88\u606f\u4f20\u9012\u201d \u8f93\u51fa\u667a\u80fd\u4f53\u7684\u7fa4\u4f53\u4ea4\u4e92\u5d4c\u5165\uff1b<\/li>\n\n\n\n<li><em>V<\/em>\u2212\u2208R<em>N<\/em>\u00d7<em>d<\/em>(<em>S<\/em>+1)\u00a0\/\u00a0<em>V<\/em>+\u2208R<em>N<\/em>\u00d7<em>d<\/em>(<em>S<\/em>+1)\uff1a\u5206\u522b\u4e3a\u5386\u53f2\u8f68\u8ff9\u3001\u672a\u6765\u8f68\u8ff9\u7684\u7fa4\u4f53\u4ea4\u4e92\u5d4c\u5165\uff08<em>d<\/em>\u4e3a\u5355\u5c3a\u5ea6\u5d4c\u5165\u7ef4\u5ea6\uff0c<em>S<\/em>\u4e3a\u8d85\u56fe\u5c3a\u5ea6\u6570\uff0c\u5982\u8bba\u6587\u4e2d<em>d<\/em>=64\u3001<em>S<\/em>=3\uff0c\u6545\u5d4c\u5165\u7ef4\u5ea6\u4e3a64\u00d74=256\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u6838\u5fc3\u4f5c\u7528\uff1a<em>V<\/em>\u2212\u6355\u6349 \u201c\u5386\u53f2\u7fa4\u4f53\u4ea4\u4e92\u201d \u7279\u5f81\uff08\u5982\u8fc7\u53bb 2 \u79d2\u5185\u7bee\u7403\u7403\u5458\u7684\u9632\u5b88\u534f\u4f5c\uff09\uff0c<em>V<\/em>+\u6355\u6349 \u201c\u672a\u6765\u7fa4\u4f53\u4ea4\u4e92\u201d \u7279\u5f81\uff08\u5982\u672a\u6765 4 \u79d2\u5185\u7684\u8fdb\u653b\u914d\u5408\uff09\uff0c\u4e24\u8005\u7ed3\u5408\u4e3a\u540e\u7eed\u5206\u5e03\u751f\u6210\u63d0\u4f9b \u201c\u4ea4\u4e92\u4e0a\u4e0b\u6587\u201d\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u7b2c\u4e8c\u6b65\uff1a\u5206\u5e03\u751f\u6210 \u2014\u2014 \u5efa\u6a21 Latent \u5411\u91cf\u7684\u6982\u7387\u5206\u5e03<\/h3>\n\n\n\n<p>\u5c06 GroupNet \u8f93\u51fa\u7684<em>V<\/em>\u2212\u4e0e<em>V<\/em>+\u62fc\u63a5\uff0c\u901a\u8fc7\u4e24\u4e2a\u72ec\u7acb\u7684 MLP \u751f\u6210 CVAE \u540e\u9a8c\u5206\u5e03\uff08\u8fd1\u4f3c\u771f\u5b9e\u5206\u5e03\u7684\u6982\u7387\u5206\u5e03\uff09\u7684\u53c2\u6570 \u2014\u2014 \u5747\u503c<em>\u03bc<\/em><em>q<\/em>\u200b\u548c\u65b9\u5dee<em>\u03c3<\/em><em>q<\/em>\u200b\uff0c\u516c\u5f0f\u4e3a\uff1a<em>\u03bc<\/em><em>q<\/em>\u200b=F<em>\u03bc<\/em>\u200b([<em>V<\/em>\u2212,<em>V<\/em>+]),<em>\u03c3<\/em><em>q<\/em>\u200b=F<em>\u03c3<\/em>\u200b([<em>V<\/em>\u2212,<em>V<\/em>+])<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5173\u952e\u7ec6\u8282\uff1a\n<ul class=\"wp-block-list\">\n<li>[<em>V<\/em>\u2212,<em>V<\/em>+]\uff1a\u5d4c\u5165\u62fc\u63a5\u64cd\u4f5c\uff08\u7ef4\u5ea6\u4e3a<em>N<\/em>\u00d72<em>d<\/em>(<em>S<\/em>+1)\uff09\uff0c\u786e\u4fdd\u540e\u9a8c\u5206\u5e03\u80fd\u540c\u65f6\u8003\u8651 \u201c\u5386\u53f2\u4ea4\u4e92\u201d \u4e0e \u201c\u672a\u6765\u4ea4\u4e92\u201d \u7684\u5173\u8054\uff1b<\/li>\n\n\n\n<li>F<em>\u03bc<\/em>\u200b(\u22c5)\u00a0\/\u00a0F<em>\u03c3<\/em>\u200b(\u22c5)\uff1a3 \u5c42 ReLU-MLP\uff08\u53c2\u6570\u72ec\u7acb\uff09\uff0c\u8f93\u51fa\u7ef4\u5ea6\u4e0e latent \u5411\u91cf\u7ef4\u5ea6\u4e00\u81f4\uff08\u8bba\u6587\u4e2d\u8bbe\u4e3a<em>d<\/em><em>z<\/em>\u200b=32\uff0c\u5373<em>\u03bc<\/em><em>q<\/em>\u200b,<em>\u03c3<\/em><em>q<\/em>\u200b\u2208R<em>N<\/em>\u00d732\uff09\uff1b<\/li>\n\n\n\n<li>\u65b9\u5dee\u7ea6\u675f\uff1a<em>\u03c3<\/em><em>q<\/em>\u200b\u901a\u8fc7 Softplus \u6fc0\u6d3b\u51fd\u6570\u786e\u4fdd\u975e\u8d1f\uff08\u907f\u514d\u65b9\u5dee\u4e3a\u8d1f\u7684\u4e0d\u5408\u7406\u60c5\u51b5\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u4e3a\u4ec0\u4e48\u9700\u8981\u540e\u9a8c\u5206\u5e03\uff1f\uff1a\u5728 CVAE \u4e2d\uff0c\u540e\u9a8c\u5206\u5e03<em>q<\/em>(<em>Z<\/em>\u2223X\u2212,X+)\u7528\u4e8e\u8fd1\u4f3c \u201c\u7ed9\u5b9a\u8f68\u8ff9\u65f6 latent \u5411\u91cf\u7684\u771f\u5b9e\u5206\u5e03\u201d\u2014\u2014latent \u5411\u91cf<em>Z<\/em>\u4ee3\u8868\u667a\u80fd\u4f53\u7684 \u201c\u968f\u673a\u610f\u56fe\u201d\uff08\u5982\u884c\u4eba\u9009\u62e9\u8d70\u5de6\u8fb9\u8fd8\u662f\u53f3\u8fb9\uff09\uff0c\u901a\u8fc7\u5206\u5e03\u5efa\u6a21\u53ef\u8986\u76d6\u591a\u6a21\u6001\u7684\u610f\u56fe\u53ef\u80fd\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u7b2c\u4e09\u6b65\uff1aLatent \u91c7\u6837 \u2014\u2014 \u751f\u6210\u53cd\u6620\u968f\u673a\u610f\u56fe\u7684\u5411\u91cf<\/h3>\n\n\n\n<p>\u6839\u636e\u751f\u6210\u7684\u5747\u503c<em>\u03bc<\/em><em>q<\/em>\u200b\u548c\u65b9\u5dee<em>\u03c3<\/em><em>q<\/em>\u200b\uff0c\u4ece\u540e\u9a8c\u5206\u5e03\u4e2d\u91c7\u6837\u5f97\u5230 latent \u5411\u91cf<em>Z<\/em>\uff0c\u516c\u5f0f\u4e3a\uff1a<em>Z<\/em>\u223cN(<em>\u03bc<\/em><em>q<\/em>\u200b,Diag(<em>\u03c3<\/em><em>q<\/em>2\u200b))<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u91c7\u6837\u6280\u5de7\uff1a\u91c7\u7528 \u201c\u91cd\u53c2\u6570\u5316\u6280\u5de7\u201d\uff08Reparameterization Trick\uff09\uff0c\u5c06\u91c7\u6837\u8fc7\u7a0b\u7684\u968f\u673a\u6027\u8f6c\u79fb\u5230\u8f93\u5165\u566a\u58f0\u4e0a\uff0c\u786e\u4fdd\u68af\u5ea6\u53ef\u53cd\u5411\u4f20\u64ad\uff08\u8bba\u6587 5 \u8282\u53c2\u8003 CVAE \u7ecf\u5178\u8bbe\u8ba1\uff09\uff1b<\/li>\n\n\n\n<li>\u6d4b\u8bd5\u9636\u6bb5\u7684\u8c03\u6574\uff1a\u8bad\u7ec3\u65f6<em>Z<\/em>\u4ece\u540e\u9a8c\u5206\u5e03\u91c7\u6837\uff0c\u6d4b\u8bd5\u65f6\u65e0\u672a\u6765\u8f68\u8ff9X+\uff0c\u6545<em>Z<\/em>\u4ece\u5148\u9a8c\u5206\u5e03N(0,<em>\u03bb<\/em><em>I<\/em>)\u91c7\u6837\uff08<em>\u03bb<\/em>=1.0\u4e3a\u8d85\u53c2\u6570\uff09\uff0c\u4ec5\u7ed3\u5408\u5386\u53f2\u4ea4\u4e92\u5d4c\u5165<em>V<\/em>\u2212\u8fdb\u884c\u9884\u6d4b\uff1b<\/li>\n\n\n\n<li>\u6700\u7ec8\u7f16\u7801\u8f93\u51fa\uff1a\u5c06<em>Z<\/em>\u4e0e\u5386\u53f2\u4ea4\u4e92\u5d4c\u5165<em>V<\/em>\u2212\u62fc\u63a5\uff0c\u5f97\u5230\u7f16\u7801\u8fc7\u7a0b\u7684\u6700\u7ec8\u8f93\u51fa<em>V<\/em><em>o<\/em><em>u<\/em><em>t<\/em>=[<em>Z<\/em>,<em>V<\/em>\u2212]\uff08\u7ef4\u5ea6\u4e3a<em>N<\/em>\u00d7(<em>d<\/em><em>z<\/em>\u200b+<em>d<\/em>(<em>S<\/em>+1))\uff09\uff0c\u4e3a\u89e3\u7801\u8fc7\u7a0b\u63d0\u4f9b \u201c\u610f\u56fe + \u4ea4\u4e92\u201d \u7684\u7efc\u5408\u7279\u5f81\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u89e3\u7801\u8fc7\u7a0b\uff1a\u4ece Latent \u5411\u91cf\u5230\u8f68\u8ff9 \u2014\u2014 \u5b9e\u73b0 \u201c\u9884\u6d4b + \u91cd\u5efa\u201d \u53cc\u4efb\u52a1<\/h2>\n\n\n\n<p>\u89e3\u7801\u8fc7\u7a0b\u7684\u6838\u5fc3\u76ee\u6807\u662f\uff1a\u57fa\u4e8e\u7f16\u7801\u8f93\u51fa<em>V<\/em><em>o<\/em><em>u<\/em><em>t<\/em>\uff0c\u901a\u8fc7 \u201c\u6b8b\u5dee\u89e3\u7801\u5668\u201d \u540c\u65f6\u5b8c\u6210<strong>\u672a\u6765\u8f68\u8ff9\u9884\u6d4b<\/strong>\uff08\u6838\u5fc3\u4efb\u52a1\uff09\u548c<strong>\u5386\u53f2\u8f68\u8ff9\u91cd\u5efa<\/strong>\uff08\u8f85\u52a9\u4efb\u52a1\uff09\uff0c\u65e2\u4fdd\u8bc1\u9884\u6d4b\u7684\u51c6\u786e\u6027\uff0c\u53c8\u907f\u514d\u7f16\u7801\u8fc7\u7a0b\u4e22\u5931\u5386\u53f2\u8f68\u8ff9\u4fe1\u606f\u3002\u8be5\u8fc7\u7a0b\u5728\u8bba\u6587\u4e2d\u8bbe\u8ba1\u4e3a \u201c\u4e24\u9636\u6bb5\u6b8b\u5dee\u5757\u201d \u7ed3\u6784\uff0c\u5177\u4f53\u5982\u4e0b\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u89e3\u7801\u5668\u7ed3\u6784\uff1a\u6b8b\u5dee\u5757\u8bbe\u8ba1\u4e0e\u53cc\u4efb\u52a1\u903b\u8f91<\/h3>\n\n\n\n<p>\u8bba\u6587\u91c7\u7528\u7684\u6b8b\u5dee\u89e3\u7801\u5668\u53c2\u8003\u4e86 Cao \u7b49\u4eba 2021 \u5e74\u7684\u5de5\u4f5c\uff08\u8bba\u6587\u53c2\u8003\u6587\u732e [5]\uff09\uff0c\u7531\u4e24\u4e2a\u7ed3\u6784\u76f8\u540c\u7684 \u201c\u6b8b\u5dee\u5757\u201d \u7ec4\u6210\uff0c\u6bcf\u4e2a\u6b8b\u5dee\u5757\u5305\u542b \u201cGRU \u7f16\u7801\u5668 + \u53cc MLP \u8f93\u51fa\u5934\u201d\uff0c\u6574\u4f53\u6d41\u7a0b\u516c\u5f0f\u4e3a\uff08\u8bba\u6587 5.2 \u8282 Decoding process\uff09\uff1aX^1+\u200b,X^1\u2212\u200b=FBlock1\u200b(<em>V<\/em><em>o<\/em><em>u<\/em><em>t<\/em>,X\u2212)X^2+\u200b,X^2\u2212\u200b=FBlock2\u200b(<em>V<\/em><em>o<\/em><em>u<\/em><em>t<\/em>,X\u2212\u2212X^1\u2212\u200b)X^+=X^1+\u200b+X^2+\u200b,X^\u2212=X^1\u2212\u200b+X^2\u2212\u200b<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9010\u5757\u89e3\u6790\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a\u6bcf\u4e2a\u6b8b\u5dee\u5757\u7684\u8f93\u5165\u5305\u542b \u201c\u7f16\u7801\u8f93\u51fa<em>V<\/em><em>o<\/em><em>u<\/em><em>t<\/em>\u201d \u548c \u201c\u5386\u53f2\u8f68\u8ff9\u6b8b\u5dee\u201d\uff08\u7b2c\u4e00\u5757\u8f93\u5165\u539f\u59cb\u5386\u53f2\u8f68\u8ff9X\u2212\uff0c\u7b2c\u4e8c\u5757\u8f93\u5165X\u2212\u2212X^1\u2212\u200b\u2014\u2014 \u5373\u5386\u53f2\u8f68\u8ff9\u4e0e\u7b2c\u4e00\u5757\u91cd\u5efa\u7ed3\u679c\u7684\u5dee\u503c\uff0c\u7528\u4e8e\u6355\u6349\u7b2c\u4e00\u5757\u672a\u62df\u5408\u7684\u7ec6\u8282\uff09\uff1b<\/li>\n\n\n\n<li>\u5185\u90e8\u7ed3\u6784\uff1a\n<ol class=\"wp-block-list\">\n<li>GRU \u7f16\u7801\u5668\uff1a\u5c06 \u201c\u5386\u53f2\u8f68\u8ff9\u6b8b\u5dee\u201d \u7f16\u7801\u4e3a\u65f6\u5e8f\u7279\u5f81\uff08\u6355\u6349\u8f68\u8ff9\u7684\u65f6\u95f4\u4f9d\u8d56\u6027\uff0c\u5982\u884c\u4eba\u7684\u884c\u8d70\u8282\u594f\uff09\uff1b<\/li>\n\n\n\n<li>\u53cc MLP \u8f93\u51fa\u5934\uff1a\u4e00\u4e2a MLP \u8f93\u51fa \u201c\u672a\u6765\u8f68\u8ff9\u9884\u6d4b\u7ed3\u679c\u201d\uff08X^1+\u200b,X^2+\u200b\uff09\uff0c\u53e6\u4e00\u4e2a MLP \u8f93\u51fa \u201c\u5386\u53f2\u8f68\u8ff9\u91cd\u5efa\u7ed3\u679c\u201d\uff08X^1\u2212\u200b,X^2\u2212\u200b\uff09\uff1b<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li>\u6700\u7ec8\u8f93\u51fa\uff1a\u4e24\u4e2a\u6b8b\u5dee\u5757\u7684\u7ed3\u679c\u6c42\u548c\uff0c\u5f97\u5230\u6700\u7ec8\u7684\u672a\u6765\u8f68\u8ff9\u9884\u6d4bX^+\u548c\u5386\u53f2\u8f68\u8ff9\u91cd\u5efaX^\u2212\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u6838\u5fc3\u8bbe\u8ba1\uff1a\u4e3a\u4ec0\u4e48\u9700\u8981 \u201c\u5386\u53f2\u8f68\u8ff9\u91cd\u5efa\u201d\uff1f<\/h3>\n\n\n\n<p>\u4f20\u7edf CVAE \u89e3\u7801\u5668\u4ec5\u5173\u6ce8\u672a\u6765\u8f68\u8ff9\u9884\u6d4b\uff0c\u5bb9\u6613\u5bfc\u81f4\u7f16\u7801\u8fc7\u7a0b\u4e22\u5931\u5386\u53f2\u8f68\u8ff9\u7684\u5173\u952e\u4fe1\u606f\uff08\u5982\u667a\u80fd\u4f53\u7684\u5386\u53f2\u8fd0\u52a8\u8d8b\u52bf\uff09\u3002\u8bba\u6587\u901a\u8fc7 \u201c\u5386\u53f2\u8f68\u8ff9\u91cd\u5efa\u201d \u4efb\u52a1\uff0c\u5f3a\u5236\u7f16\u7801\u5668\u4fdd\u7559\u5386\u53f2\u8f68\u8ff9\u7279\u5f81 \u2014\u2014 \u82e5\u7f16\u7801\u8fc7\u7a0b\u4e22\u5931\u5386\u53f2\u4fe1\u606f\uff0c\u91cd\u5efa\u7ed3\u679cX^\u2212\u4e0e\u771f\u5b9e\u5386\u53f2\u8f68\u8ff9X\u2212\u7684\u504f\u5dee\u4f1a\u589e\u5927\uff0c\u8fdb\u800c\u901a\u8fc7\u635f\u5931\u51fd\u6570\u53cd\u5411\u4f18\u5316\u7f16\u7801\u5668\uff0c\u786e\u4fdd GroupNet \u63d0\u53d6\u7684\u4ea4\u4e92\u7279\u5f81\u4e0e\u5386\u53f2\u8f68\u8ff9\u7279\u5f81\u4e0d\u8131\u8282\u3002\u4f8b\u5982\uff0c\u5728 NBA \u6570\u636e\u96c6\u4e2d\uff0c\u82e5\u67d0\u7403\u5458\u7684\u5386\u53f2\u8f68\u8ff9\u5448 \u201c\u5411\u7bee\u7b50\u51b2\u523a\u201d \u8d8b\u52bf\uff0c\u7f16\u7801\u8fc7\u7a0b\u9700\u4fdd\u7559\u8be5\u8d8b\u52bf\u7279\u5f81\uff0c\u5426\u5219\u91cd\u5efa\u7ed3\u679c\u4f1a\u51fa\u73b0 \u201c\u65e0\u51b2\u523a\u201d \u7684\u504f\u5dee\uff0c\u5f71\u54cd\u540e\u7eed \u201c\u8fdb\u653b\u914d\u5408\u201d \u7684\u4ea4\u4e92\u5efa\u6a21\u4e0e\u672a\u6765\u8f68\u8ff9\u9884\u6d4b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u635f\u5931\u51fd\u6570\uff1a\u591a\u76ee\u6807\u4f18\u5316 \u2014\u2014 \u5e73\u8861 \u201c\u51c6\u786e\u6027\u3001\u968f\u673a\u6027\u3001\u591a\u6837\u6027\u201d<\/h2>\n\n\n\n<p>\u4e3a\u8bad\u7ec3\u57fa\u4e8e CVAE \u7684\u9884\u6d4b\u7cfb\u7edf\uff0c\u8bba\u6587\u8bbe\u8ba1\u4e86<strong>\u4e09\u90e8\u5206\u635f\u5931\u51fd\u6570\u7684\u52a0\u6743\u548c<\/strong>\uff0c\u65e2\u4fdd\u8bc1\u8f68\u8ff9\u9884\u6d4b\u7684\u51c6\u786e\u6027\uff0c\u53c8\u517c\u987e CVAE \u7684\u6982\u7387\u751f\u6210\u7279\u6027\u4e0e\u591a\u6a21\u6001\u9884\u6d4b\u9700\u6c42\uff0c\u516c\u5f0f\u4e3a\uff08\u8bba\u6587 5.3 \u8282 Loss function\uff09\uff1aL=Lelbo\u200b+Lrec\u200b+Lvariety\u200b\u4ee5\u4e0b\u5206\u522b\u89e3\u6790\u5404\u90e8\u5206\u635f\u5931\u7684\u8ba1\u7b97\u903b\u8f91\u4e0e\u4f5c\u7528\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. ELBO \u635f\u5931\uff08Lelbo\u200b\uff09\uff1aCVAE \u7684\u6838\u5fc3\u6982\u7387\u635f\u5931<\/h3>\n\n\n\n<p>ELBO\uff08Evidence Lower Bound\uff0c\u8bc1\u636e\u4e0b\u754c\uff09\u635f\u5931\u662f CVAE \u7684\u7ecf\u5178\u635f\u5931\uff0c\u7528\u4e8e\u5e73\u8861 \u201c\u672a\u6765\u8f68\u8ff9\u9884\u6d4b\u7684\u51c6\u786e\u6027\u201d \u4e0e \u201c\u540e\u9a8c\u5206\u5e03\u4e0e\u5148\u9a8c\u5206\u5e03\u7684\u4e00\u81f4\u6027\u201d\uff08\u907f\u514d\u8fc7\u62df\u5408\uff09\uff0c\u516c\u5f0f\u4e3a\uff1aLelbo\u200b=<em>\u03b1<\/em>\u22c5\u2225X^+\u2212X+\u222522\u200b+<em>\u03b2<\/em>\u22c5KL(<em>q<\/em>(<em>Z<\/em>\u2223X\u2212,X+)\u2225<em>p<\/em>(<em>Z<\/em>\u2223X\u2212))<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e24\u90e8\u5206\u7ec4\u6210\uff1a\n<ul class=\"wp-block-list\">\n<li>\u9884\u6d4b\u8bef\u5dee\u9879\uff08<em>\u03b1<\/em>\u22c5\u2225X^+\u2212X+\u222522\u200b\uff09\uff1a\u672a\u6765\u8f68\u8ff9\u9884\u6d4b\u7ed3\u679c\u4e0e\u771f\u5b9e\u7ed3\u679c\u7684 MSE \u635f\u5931\uff08<em>\u03b1<\/em>=1.0\u4e3a\u8d85\u53c2\u6570\uff09\uff0c\u786e\u4fdd\u9884\u6d4b\u7684\u51c6\u786e\u6027\uff1b<\/li>\n\n\n\n<li>KL \u6563\u5ea6\u9879\uff08<em>\u03b2<\/em>\u22c5KL(\u22c5\u2225\u22c5)\uff09\uff1a\u8861\u91cf\u540e\u9a8c\u5206\u5e03<em>q<\/em>(<em>Z<\/em>)\u4e0e\u5148\u9a8c\u5206\u5e03<em>p<\/em>(<em>Z<\/em>)\u7684\u5dee\u5f02\uff08<em>\u03b2<\/em>=1.0\u4e3a\u8d85\u53c2\u6570\uff09\uff0c\u7ea6\u675f\u540e\u9a8c\u5206\u5e03\u4e0d\u504f\u79bb\u5148\u9a8c\uff08\u5148\u9a8c\u8bbe\u4e3a\u6807\u51c6\u6b63\u6001\u5206\u5e03N(0,<em>I<\/em>)\uff09\uff0c\u907f\u514d\u6a21\u578b\u8fc7\u5ea6\u4f9d\u8d56\u8bad\u7ec3\u6570\u636e\u7684\u566a\u58f0\uff0c\u63d0\u5347\u6cdb\u5316\u80fd\u529b\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u91cd\u5efa\u635f\u5931\uff08Lrec\u200b\uff09\uff1a\u4fdd\u7559\u5386\u53f2\u8f68\u8ff9\u4fe1\u606f<\/h3>\n\n\n\n<p>\u91cd\u5efa\u635f\u5931\u662f\u5386\u53f2\u8f68\u8ff9\u91cd\u5efa\u7ed3\u679c\u4e0e\u771f\u5b9e\u5386\u53f2\u8f68\u8ff9\u7684 MSE \u635f\u5931\uff0c\u7528\u4e8e\u5f3a\u5236\u7f16\u7801\u5668\u4fdd\u7559\u5386\u53f2\u4fe1\u606f\uff0c\u516c\u5f0f\u4e3a\uff1aLrec\u200b=<em>\u03b3<\/em>\u22c5\u2225X^\u2212\u2212X\u2212\u222522\u200b<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8d85\u53c2\u6570<em>\u03b3<\/em>=1.0\uff0c\u786e\u4fdd\u91cd\u5efa\u635f\u5931\u4e0e\u5176\u4ed6\u635f\u5931\u6743\u91cd\u5e73\u8861\uff1b<\/li>\n\n\n\n<li>\u4f5c\u7528\uff1a\u5982\u524d\u6240\u8ff0\uff0c\u907f\u514d\u7f16\u7801\u8fc7\u7a0b\u4e22\u5931\u5386\u53f2\u8f68\u8ff9\u7684\u5173\u952e\u7279\u5f81\uff08\u5982\u8fd0\u52a8\u8d8b\u52bf\u3001\u901f\u5ea6\uff09\uff0c\u4e3a\u7fa4\u4f53\u4ea4\u4e92\u5efa\u6a21\u63d0\u4f9b \u201c\u65f6\u5e8f\u4e0a\u4e0b\u6587\u201d \u652f\u6301\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u591a\u6837\u6027\u635f\u5931\uff08Lvariety\u200b\uff09\uff1a\u652f\u6301\u591a\u6a21\u6001\u9884\u6d4b<\/h3>\n\n\n\n<p>\u591a\u6837\u6027\u635f\u5931\u7528\u4e8e\u89e3\u51b3\u8f68\u8ff9\u9884\u6d4b\u7684 \u201c\u591a\u6a21\u6001\u6027\u201d \u95ee\u9898\uff08\u5982\u884c\u4eba\u53ef\u80fd\u8d70\u5de6\u6216\u8d70\u53f3\uff0c\u4e24\u79cd\u8f68\u8ff9\u5747\u5408\u7406\uff09\uff0c\u786e\u4fdd\u6a21\u578b\u80fd\u751f\u6210\u591a\u79cd\u7b26\u5408\u793e\u4ea4\u89c4\u5219\u7684\u9884\u6d4b\u7ed3\u679c\uff0c\u516c\u5f0f\u4e3a\uff1aLvariety\u200b=min<em>k<\/em>=1..<em>K<\/em>\u200b\u2225X^+(<em>k<\/em>)\u2212X+\u222522\u200b<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8ba1\u7b97\u903b\u8f91\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u6bcf\u4e2a\u6d4b\u8bd5\u6837\u672c\uff0c\u4ece\u5148\u9a8c\u5206\u5e03\u4e2d\u91c7\u6837<em>K<\/em>\u4e2a latent \u5411\u91cf\uff08\u8bba\u6587\u4e2d<em>K<\/em>=20\uff09\uff0c\u751f\u6210<em>K<\/em>\u6761\u4e0d\u540c\u7684\u672a\u6765\u8f68\u8ff9\u9884\u6d4b\u7ed3\u679cX^+(1),&#8230;,X^+(<em>K<\/em>)\uff1b<\/li>\n\n\n\n<li>\u8ba1\u7b97\u6bcf\u6761\u9884\u6d4b\u7ed3\u679c\u4e0e\u771f\u5b9e\u8f68\u8ff9\u7684 MSE \u635f\u5931\uff0c\u53d6\u6700\u5c0f\u503c\u4f5c\u4e3a\u591a\u6837\u6027\u635f\u5931\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u4f5c\u7528\uff1a\u9f13\u52b1\u6a21\u578b\u751f\u6210 \u201c\u591a\u6837\u5316\u4e14\u51c6\u786e\u201d \u7684\u9884\u6d4b\u8f68\u8ff9 \u2014\u2014 \u82e5\u6a21\u578b\u4ec5\u751f\u6210\u5355\u4e00\u8f68\u8ff9\uff0c\u53ef\u80fd\u56e0 latent \u5411\u91cf\u91c7\u6837\u7684\u968f\u673a\u6027\u5bfc\u81f4\u90e8\u5206\u6837\u672c\u9884\u6d4b\u8bef\u5dee\u8fc7\u5927\uff1b\u800c\u901a\u8fc7 \u201c\u53d6\u6700\u5c0f\u635f\u5931\u201d\uff0c\u65e2\u4fdd\u8bc1\u5b58\u5728\u51c6\u786e\u7684\u9884\u6d4b\u7ed3\u679c\uff0c\u53c8\u63a8\u52a8\u6a21\u578b\u8986\u76d6\u591a\u79cd\u5408\u7406\u7684\u8f68\u8ff9\u6a21\u6001\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u603b\u7ed3\uff1a\u6d88\u606f\u4f20\u9012\u6d41\u7a0b\u7684\u6838\u5fc3\u4ef7\u503c<\/h2>\n\n\n\n<p>\u7ed3\u5408\u8bba\u6587\u7ec6\u8282\u53ef\u89c1\uff0cGroupNet \u7684\u6d88\u606f\u4f20\u9012\u4e0d\u662f\u7b80\u5355\u7684 \u201c\u7279\u5f81\u805a\u5408\u201d\uff0c\u800c\u662f\u56f4\u7ed5 \u201c\u7fa4\u4f53\u4ea4\u4e92\u5efa\u6a21\u201d \u8bbe\u8ba1\u7684\u95ed\u73af\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ece \u201c\u8282\u70b9\u2192\u8d85\u8fb9\u201d\uff1a\u901a\u8fc7\u96c6\u4f53\u5d4c\u5165\u548c\u4e09\u5143\u7d20\u8868\u793a\uff0c\u5c06 \u201c\u4e2a\u4f53\u8f68\u8ff9\u201d \u8f6c\u5316\u4e3a \u201c\u53ef\u89e3\u91ca\u7684\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81\u201d\uff1b<\/li>\n\n\n\n<li>\u4ece \u201c\u8d85\u8fb9\u2192\u8282\u70b9\u201d\uff1a\u5c06\u7fa4\u4f53\u4ea4\u4e92\u7279\u5f81\u53cd\u9988\u7ed9\u4e2a\u4f53\uff0c\u786e\u4fdd\u667a\u80fd\u4f53\u5d4c\u5165\u5305\u542b\u793e\u4ea4\u5f71\u54cd\uff1b<\/li>\n\n\n\n<li>\u591a\u5c3a\u5ea6\u878d\u5408\uff1a\u8986\u76d6\u4e0d\u540c\u89c4\u6a21\u7684\u4ea4\u4e92\uff0c\u89e3\u51b3\u4f20\u7edf\u56fe\u6a21\u578b \u201c\u4ec5\u6210\u5bf9\u4ea4\u4e92\u201d \u7684\u5c40\u9650\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u5b9e\u9a8c\u9a8c\u8bc1<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e00\uff09\u5b9e\u9a8c\u8bbe\u7f6e<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6570\u636e\u96c6<\/strong>\uff1a\u5305\u62ec\u5408\u6210\u7269\u7406\u4eff\u771f\u6570\u636e\u96c6\uff08\u9a8c\u8bc1\u5173\u7cfb\u63a8\u7406\u80fd\u529b\uff0c\u63d0\u4f9b\u4ea4\u4e92\u771f\u503c\uff09\u4e0e 3 \u4e2a\u771f\u5b9e\u6570\u636e\u96c6\uff08NBA \u7bee\u7403\u8fd0\u52a8\u5458\u8f68\u8ff9\u3001SDD \u65e0\u4eba\u673a\u884c\u4eba \/ \u8f66\u8f86\u8f68\u8ff9\u3001ETH-UCY \u8857\u666f\u884c\u4eba\u8f68\u8ff9\uff09\ud83d\udd361-77\u3001\ud83d\udd361-79\u3002<\/li>\n\n\n\n<li><strong>\u8bc4\u4ef7\u6307\u6807<\/strong>\uff1a<em>min<\/em><em>A<\/em><em>D<\/em><em>E<\/em><em>K<\/em>\u200b\uff08K \u6761\u9884\u6d4b\u8f68\u8ff9\u4e0e\u771f\u5b9e\u8f68\u8ff9\u7684\u5e73\u5747\u8ddd\u79bb\u6700\u5c0f\u503c\uff09\u3001<em>min<\/em><em>F<\/em><em>D<\/em><em>E<\/em><em>K<\/em>\u200b\uff08K \u6761\u9884\u6d4b\u8f68\u8ff9\u7ec8\u70b9\u4e0e\u771f\u5b9e\u7ec8\u70b9\u7684\u8ddd\u79bb\u6700\u5c0f\u503c\uff09\uff0c\u503c\u8d8a\u5c0f\u6027\u80fd\u8d8a\u4f18\ud83d\udd361-80\u3001\ud83d\udd361-81\u3001\ud83d\udd361-82\u3002<\/li>\n\n\n\n<li><strong>\u5b9e\u73b0\u7ec6\u8282<\/strong>\uff1aMLP \u8bbe 3 \u5c42\uff08ReLU \u6fc0\u6d3b\uff09\uff0clatent \u7ef4\u5ea6 32\uff0cAdam \u4f18\u5316\u5668\uff08\u5b66\u4e60\u7387 1e-4\uff0c\u6bcf 10 \u8f6e\u8870\u51cf\uff09\uff0c\u635f\u5931\u6743\u91cd \u03b1=\u03b2=\u03b3=1.0\ud83d\udd361-83\u3002<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\uff08\u4e8c\uff09\u5173\u952e\u5b9e\u9a8c\u7ed3\u679c<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5173\u7cfb\u63a8\u7406\u80fd\u529b\u9a8c\u8bc1\uff08\u5408\u6210\u6570\u636e\u96c6\uff09<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6355\u6349\u7fa4\u4f53\u884c\u4e3a\uff1a\u51c6\u786e\u5212\u5206 \u201c\u5149\u6746\u8fde\u63a5\u7c92\u5b50\u7fa4\u201d\u201c\u5f39\u7c27\u8fde\u63a5\u7c92\u5b50\u7fa4\u201d \u4e0e\u81ea\u7531\u7c92\u5b50\uff0c\u7fa4\u4f53\u5185\u4eb2\u548c\u529b\u663e\u8457\u9ad8\u4e8e\u7fa4\u4f53\u5916\ud83d\udd361-85\u3002<\/li>\n\n\n\n<li>\u63a8\u7406\u4ea4\u4e92\u7c7b\u522b\uff1a\u65e0\u76d1\u7763\u4e0b 2 \u7c7b\u4efb\u52a1\uff08\u81ea\u7531 vs \u5149\u6746\uff09\u51c6\u786e\u7387 99.3%\uff0c3 \u7c7b\u4efb\u52a1\uff08\u81ea\u7531 vs \u5f39\u7c27 vs \u5149\u6746\uff09\u51c6\u786e\u7387 90.3%\uff0c\u663e\u8457\u4f18\u4e8e\u4ec5\u5efa\u6a21\u6210\u5bf9\u4ea4\u4e92\u7684\u57fa\u7ebf\uff08\u5982 NRI 3 \u7c7b\u4efb\u52a1 64.9%\uff09\ud83d\udd361-88\u3001\ud83d\udd361-90\u3002<\/li>\n\n\n\n<li>\u63a8\u7406\u4ea4\u4e92\u5f3a\u5ea6\uff1a\u5b66\u4e60\u7684\u4ea4\u4e92\u5f3a\u5ea6\u4e0e\u5e26\u7535\u7c92\u5b50\u7535\u8377\u5448\u6b63\u6bd4\uff0c\u51c6\u786e\u91cf\u5316\u4ea4\u4e92\u5f3a\u5ea6\ud83d\udd361-91\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8f68\u8ff9\u9884\u6d4b\u6548\u679c\u9a8c\u8bc1\uff08\u771f\u5b9e\u6570\u636e\u96c6\uff09<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>GroupNet+CVAE \u6027\u80fd\u9886\u5148\uff1aNBA 4.0s \u9884\u6d4b<em>min<\/em><em>A<\/em><em>D<\/em><em>E<\/em>20\u200b\u00a01.13m\uff0c\u6bd4 SOTA\uff08NMMP\uff09\u964d\u4f4e 15%\uff1bSDD 4.8s \u9884\u6d4b<em>min<\/em><em>A<\/em><em>D<\/em><em>E<\/em>20\u200b\u00a09.31 \u50cf\u7d20\uff0c\u6bd4 SOTA\uff08PECNet\uff09\u964d\u4f4e 6.5%\ud83d\udd361-102\u3001\ud83d\udd361-103\u3002<\/li>\n\n\n\n<li>\u53ef\u63d2\u62d4\u6027\u5f3a\uff1a\u66ff\u6362\u5176\u4ed6 SOTA \u6a21\u578b\u7684\u793e\u4ea4\u6a21\u5757\u540e\u6027\u80fd\u5747\u63d0\u5347\uff0c\u5982 GroupNet+NMMP \u5728 NBA 4.0s \u9884\u6d4b<em>min<\/em><em>A<\/em><em>D<\/em><em>E<\/em>20\u200b\u6bd4\u539f NMMP \u964d\u4f4e 6%\ud83d\udd361-102\u3001\ud83d\udd361-103\u3001\ud83d\udd361-105\u3002<\/li>\n\n\n\n<li>\u591a\u5c3a\u5ea6\u8bbe\u8ba1\u6709\u6548\uff1a\u52a0\u5165\u7fa4\u4f53\u5c3a\u5ea6\u540e\u6027\u80fd\u6301\u7eed\u63d0\u5347\uff0c\u5c3a\u5ea6\u8db3\u591f\u65f6\u8d8b\u4e8e\u7a33\u5b9a\uff08\u5982 NBA \u52a0\u5165\u5c3a\u5ea6 1\u30012\u30015 \u540e<em>min<\/em><em>A<\/em><em>D<\/em><em>E<\/em>20\u200b\u4ece 1.27m \u964d\u81f3 1.13m\uff09\ud83d\udd361-114\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001\u7ed3\u8bba\u4e0e\u5c55\u671b<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u8d21\u732e<\/strong>\uff1a\u63d0\u51fa\u591a\u5c3a\u5ea6\u8d85\u56fe\u7ed3\u6784\uff0c\u9996\u6b21\u540c\u65f6\u5efa\u6a21\u6210\u5bf9\u4e0e\u7fa4\u4f53\u4ea4\u4e92\uff1b\u63d0\u51fa\u4e09\u5143\u7d20\u4ea4\u4e92\u8868\u793a\uff0c\u9996\u6b21\u540c\u65f6\u63a8\u7406\u4ea4\u4e92\u7c7b\u522b\u4e0e\u5f3a\u5ea6\uff1bGroupNet \u53ef\u63d2\u62d4\u6027\u5f3a\uff0c\u5728\u771f\u5b9e\u6570\u636e\u96c6\u4e0a\u8fbe SOTA\ud83d\udd361-120\u3002<\/li>\n\n\n\n<li><strong>\u5c40\u9650\u4e0e\u672a\u6765\u65b9\u5411<\/strong>\uff1a\u5f53\u524d\u5904\u7406\u667a\u80fd\u4f53\u6570\u91cf\u5c11\uff08\u5982 NBA \u4ec5 10 \u4eba\uff09\u3001\u65f6\u95f4\u7a97\u53e3\u77ed\uff08\u5386\u53f2 5 \u6b65\u3001\u9884\u6d4b 10 \u6b65\uff09\uff1b\u672a\u6765\u5c06\u6269\u5c55\u5230\u52a8\u6001\u667a\u80fd\u4f53\u6570\u91cf\u3001\u957f\u65f6\u5e8f\u9884\u6d4b\uff0c\u63a2\u7d22\u81ea\u9002\u5e94\u7fa4\u4f53\u5927\u5c0f\u7684\u8d85\u56fe\u8bbe\u8ba1\ud83d\udd361-121\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u516d\u3001\u5176\u4ed6\u8865\u5145\u4fe1\u606f<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u76f8\u5173\u5de5\u4f5c\u5bf9\u6bd4<\/strong>\uff1a\u4e0e\u4f20\u7edf\u8f68\u8ff9\u9884\u6d4b\u65b9\u6cd5\uff08\u5982 Social-LSTM\u3001Social-GAN\uff09\u76f8\u6bd4\uff0cGroupNet \u65b0\u589e\u7fa4\u4f53\u4ea4\u4e92\u5efa\u6a21\uff1b\u4e0e\u5173\u7cfb\u63a8\u7406\u65b9\u6cd5\uff08\u5982 NRI\u3001EvolveGraph\uff09\u76f8\u6bd4\uff0cGroupNet \u53ef\u63a8\u7406\u4ea4\u4e92\u5f3a\u5ea6\u4e14\u5efa\u6a21\u7fa4\u4f53\u5173\u7cfb\ud83d\udd361-22\u3001\ud83d\udd361-23\u3001\ud83d\udd361-24\u3002<\/li>\n\n\n\n<li><strong>\u6d88\u878d\u5b9e\u9a8c<\/strong>\uff1aGroupNet \u6027\u80fd\u4f18\u4e8e MLP\u3001\u975e\u5c40\u90e8\u6ce8\u610f\u529b\u3001\u6210\u5bf9\u56fe\u6d88\u606f\u4f20\u9012\u7b49\u6a21\u5757\uff1b\u591a\u5c3a\u5ea6\u8bbe\u8ba1\u4e2d\uff0c\u589e\u52a0\u5408\u7406\u5c3a\u5ea6\u53ef\u63d0\u5347\u6027\u80fd\uff0c\u5c3a\u5ea6\u8fc7\u591a\u65e0\u660e\u663e\u589e\u76ca\ud83d\udd361-112\u3001\ud83d\udd361-114\u3001\ud83d\udd361-116\u3001\ud83d\udd361-118\u3002<\/li>\n\n\n\n<li><strong>\u8d44\u52a9\u4fe1\u606f<\/strong>\uff1a\u7814\u7a76\u83b7\u56fd\u5bb6\u91cd\u70b9\u7814\u53d1\u8ba1\u5212\uff082021ZD0112801\uff09\u3001\u56fd\u5bb6\u81ea\u7136\u79d1\u5b66\u57fa\u91d1\uff0862171276\uff09\u7b49\u9879\u76ee\u652f\u6301\ud83d\udd361-122\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u975e\u5e38\u597d \ud83d\udc4d\u2014\u2014\u8981\u771f\u6b63\u7406\u89e3\u201c<strong>\u6761\u4ef6\u53d8\u5206\u81ea\u7f16\u7801\u5668\uff08CVAE, Conditional Variational Autoencoder\uff09<\/strong>\u201d\uff0c\u6211\u4eec\u9700\u8981\u4ece <strong>VAE\uff08\u53d8\u5206\u81ea\u7f16\u7801\u5668\uff09<\/strong> \u7684\u57fa\u672c\u601d\u60f3\u51fa\u53d1\uff0c\u518d\u770b\u5b83\u662f\u5982\u4f55<strong>\u5f15\u5165\u201c\u6761\u4ef6\u201d\u6765\u8fdb\u884c\u6709\u6307\u5bfc\u7684\u751f\u6210<\/strong>\u3002\u4e0b\u9762\u6211\u5206\u5c42\u8bb2\u6e05\u695a\uff0c\u5305\u62ec\u6570\u5b66\u539f\u7406\u3001\u7ed3\u6784\u6d41\u7a0b\u3001\u8bad\u7ec3\u903b\u8f91\u4e0e\u76f4\u89c2\u7406\u89e3\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001VAE\uff08\u53d8\u5206\u81ea\u7f16\u7801\u5668\uff09\u57fa\u7840\u56de\u987e<\/h2>\n\n\n\n<p>VAE \u662f\u4e00\u79cd<strong>\u751f\u6210\u6a21\u578b\uff08Generative Model\uff09<\/strong>\uff0c\u76ee\u6807\u662f\u5b66\u4e60\u6570\u636e\u7684<strong>\u6f5c\u5728\u5206\u5e03<\/strong>\uff0c\u4ece\u800c\u53ef\u4ee5\u201c\u751f\u6210\u201d\u4e0e\u8bad\u7ec3\u6837\u672c\u76f8\u4f3c\u7684\u65b0\u6837\u672c\u3002<\/p>\n\n\n\n<p>\u5047\u8bbe\u6211\u4eec\u6709\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u89c2\u6d4b\u6570\u636e\uff1a( x )<\/li>\n\n\n\n<li>\u6f5c\u5728\u53d8\u91cf\uff1a( z )<\/li>\n\n\n\n<li>\u6a21\u578b\u76ee\u6807\uff1a\u5b66\u4e60 ( p_\\theta(x, z) = p_\\theta(x|z) p(z) )<\/li>\n<\/ul>\n\n\n\n<p>\u7406\u8bba\u4e0a\uff0c\u6211\u4eec\u5e0c\u671b\u6700\u5927\u5316\uff1a<br>[<br>\\log p_\\theta(x) = \\log \\int p_\\theta(x|z)p(z)dz<br>]<br>\u4f46\u8fd9\u4e2a\u79ef\u5206\u96be\u4ee5\u76f4\u63a5\u8ba1\u7b97\uff0c\u56e0\u6b64\u5f15\u5165<strong>\u8fd1\u4f3c\u540e\u9a8c\u5206\u5e03<\/strong> ( q_\\phi(z|x) )\uff0c\u5e76\u901a\u8fc7\u53d8\u5206\u63a8\u65ad\uff08Variational Inference\uff09\u4f18\u5316\u4e0b\u754c\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u53d8\u5206\u4e0b\u754c\uff08ELBO\uff09<\/h3>\n\n\n\n<p>\u6700\u5927\u5316\u5bf9\u6570\u4f3c\u7136\u7684\u4e0b\u754c\uff1a<br>[<br>\\log p_\\theta(x) \\geq<br>\\mathbb{E}<em>{q<\/em>\\phi(z|x)}[\\log p_\\theta(x|z)]<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D_{KL}(q_\\phi(z|x) | p(z))<br>]<\/li>\n<\/ul>\n\n\n\n<p>\u5176\u4e2d\u4e24\u9879\u542b\u4e49\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u9879\uff1a\u91cd\u6784\u8bef\u5dee\uff0c\u8868\u793a\u201c\u89e3\u7801\u5668\u80fd\u5426\u91cd\u73b0\u539f\u6837\u672c\u201d\uff1b<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u9879\uff1aKL\u6563\u5ea6\uff0c\u7ea6\u675f\u7f16\u7801\u7684\u5206\u5e03\u4e0d\u8981\u504f\u79bb\u6807\u51c6\u5148\u9a8c ( p(z)=\\mathcal{N}(0,I) )\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u8bad\u7ec3\u76ee\u6807\uff1a<br>[<br>\\mathcal{L}<em>{VAE} =<br>\\mathbb{E}<\/em>{q_\\phi(z|x)}[-\\log p_\\theta(x|z)]<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D_{KL}(q_\\phi(z|x)|p(z))<br>]<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u7ed3\u6784\u793a\u610f<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>x \u2500\u2500\u25ba Encoder (q\u03c6) \u2500\u2500\u25ba \u03bc, \u03c3 \u2500\u2500\u25ba z ~ N(\u03bc,\u03c3)\n                             \u2502\n                             \u25bc\n                         Decoder (p\u03b8)\n                             \u2502\n                             \u25bc\n                             x\u0302\n<\/code><\/pre>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Encoder\u5b66\u5230\u201c\u538b\u7f29\u5206\u5e03\u201d\uff1bDecoder\u5b66\u5230\u201c\u91cd\u5efa\u80fd\u529b\u201d\u3002<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u4ece VAE \u5230 CVAE\uff1a\u5f15\u5165\u6761\u4ef6\u53d8\u91cf<\/h2>\n\n\n\n<p>VAE \u751f\u6210\u6837\u672c\u65f6\u662f<strong>\u65e0\u6761\u4ef6\u7684<\/strong>\uff08\u7eaf\u7cb9\u5b66\u4e60\u6570\u636e\u5206\u5e03\uff09\uff0c\u4f46\u5728\u5f88\u591a\u4efb\u52a1\u4e2d\uff0c\u6211\u4eec\u5e0c\u671b\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u201c\u6839\u636e\u67d0\u4e2a\u5df2\u77e5\u6761\u4ef6 (x) \u6765\u751f\u6210\u8f93\u51fa (y)\u201d<br>\u4f8b\u5982\uff1a<\/p>\n<\/blockquote>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6839\u636e\u5386\u53f2\u8f68\u8ff9 (x) \u751f\u6210\u672a\u6765\u8f68\u8ff9 (y)\uff1b<\/li>\n\n\n\n<li>\u6839\u636e\u56fe\u50cf\u63cf\u8ff0\u6587\u5b57 (x) \u751f\u6210\u5bf9\u5e94\u56fe\u50cf (y)\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4e8e\u662f\u5c31\u5f97\u5230 <strong>Conditional VAE (CVAE)<\/strong>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u57fa\u672c\u601d\u60f3<\/h3>\n\n\n\n<p>\u5728 CVAE \u4e2d\uff0c\u6211\u4eec\u663e\u5f0f\u5730\u52a0\u5165\u6761\u4ef6 (x)\uff0c\u5e0c\u671b\u6a21\u578b\u5b66\u4e60\uff1a<br>[<br>p_\\theta(y|x) = \\int p_\\theta(y|z,x) p(z|x) dz<br>]<br>\u5373\uff1a<strong>\u6f5c\u53d8\u91cf z<\/strong> \u4e0d\u518d\u662f\u5168\u5c40\u7684\uff0c\u800c\u662f<strong>\u4f9d\u8d56\u4e8e\u6761\u4ef6 x<\/strong>\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u76f4\u89c9\u4e0a\uff1a<br>\u5728\u7ed9\u5b9a\u6761\u4ef6\uff08\u5982\u5386\u53f2\u8f68\u8ff9\uff09\u7684\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5e0c\u671b\u4ece\u6f5c\u5728\u7a7a\u95f4\u4e2d\u91c7\u6837\u4e0d\u540c\u7684\u672a\u6765\u6a21\u5f0f\u3002<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u7ed3\u6784\u53d8\u5316<\/h3>\n\n\n\n<p>CVAE \u5305\u542b\u4e09\u4e2a\u4e3b\u8981\u6a21\u5757\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u6a21\u5757<\/th><th>\u529f\u80fd<\/th><th>\u6570\u5b66\u7b26\u53f7<\/th><\/tr><\/thead><tbody><tr><td>\u6761\u4ef6\u7f16\u7801\u5668<\/td><td>\u5c06\u6761\u4ef6 (x) \u7f16\u7801\u6210\u4e0a\u4e0b\u6587\u5411\u91cf<\/td><td>(h_x = f(x))<\/td><\/tr><tr><td>\u6f5c\u5728\u7f16\u7801\u5668<\/td><td>\u7f16\u7801\u771f\u5b9e\u672a\u6765 (y) \u4e0e\u6761\u4ef6 (x)\uff0c\u751f\u6210\u6f5c\u53d8\u91cf\u5206\u5e03<\/td><td>(q_\\phi(z<\/td><\/tr><tr><td>\u89e3\u7801\u5668<\/td><td>\u7ed9\u5b9a (x,z) \u751f\u6210\u9884\u6d4b (y)<\/td><td>(p_\\theta(y<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u635f\u5931\u51fd\u6570\uff08\u53d8\u5206\u4e0b\u754c\uff09<\/h3>\n\n\n\n<p>CVAE \u7684\u8bad\u7ec3\u76ee\u6807\u51fd\u6570\u4e3a\uff1a<br>[<br>\\mathcal{L}<em>{CVAE} =<br>\\mathbb{E}<\/em>{q_\\phi(z|x,y)}[-\\log p_\\theta(y|x,z)]<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D_{KL}(q_\\phi(z|x,y)|p_\\theta(z|x))<br>]<\/li>\n<\/ul>\n\n\n\n<p>\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u9879\uff1a<strong>\u91cd\u6784\u8bef\u5dee<\/strong>\uff0c\u5e0c\u671b\u5728\u7ed9\u5b9a (z,x) \u65f6\u80fd\u751f\u6210\u6b63\u786e\u7684 (y)\uff1b<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u9879\uff1a<strong>KL \u6563\u5ea6\u6b63\u5219\u9879<\/strong>\uff0c\u7ea6\u675f\u6f5c\u53d8\u91cf\u5206\u5e03\u7a33\u5b9a\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u63a8\u7406\u9636\u6bb5\uff08\u9884\u6d4b\u9636\u6bb5\uff09<\/h3>\n\n\n\n<p>\u8bad\u7ec3\u65f6\u4f7f\u7528 (q_\\phi(z|x,y))\uff1b<br>\u63a8\u7406\u65f6\uff08\u6ca1\u6709\u771f\u5b9e\u672a\u6765 (y)\uff09\u4f7f\u7528\u5148\u9a8c\uff1a<br>[<br>z \\sim p_\\theta(z|x)<br>]<br>\u7136\u540e\u901a\u8fc7\u89e3\u7801\u5668\u5f97\u5230\uff1a<br>[<br>\\hat{y} = f_\\theta(x,z)<br>]<\/p>\n\n\n\n<p>\u901a\u8fc7\u591a\u6b21\u91c7\u6837 (z)\uff0c\u53ef\u4ee5\u751f\u6210<strong>\u591a\u79cd\u53ef\u80fd\u7684\u8f93\u51fa\u8f68\u8ff9<\/strong>\uff08\u591a\u6a21\u6001\u9884\u6d4b\uff09\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u76f4\u89c2\u7406\u89e3\uff08\u4e3e\u4f8b\uff1a\u8f68\u8ff9\u9884\u6d4b\uff09<\/h2>\n\n\n\n<p>\u8bbe\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(x)\uff1a\u5386\u53f2\u8f68\u8ff9\uff08\u8fc7\u53bb 8 \u79d2\uff09<\/li>\n\n\n\n<li>(y)\uff1a\u672a\u6765\u8f68\u8ff9\uff08\u672a\u6765 12 \u79d2\uff09<\/li>\n\n\n\n<li>(z)\uff1a\u672a\u6765\u53ef\u80fd\u6a21\u5f0f\uff08\u5de6\u8f6c \/ \u76f4\u884c \/ \u53f3\u8f6c\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u9636\u6bb5<\/th><th>\u52a8\u4f5c<\/th><th>\u8bf4\u660e<\/th><\/tr><\/thead><tbody><tr><td>\u8bad\u7ec3<\/td><td>(x, y) \u8f93\u5165<\/td><td>\u7f16\u7801\u5f97\u5230 z \u7684\u540e\u9a8c\u5206\u5e03<\/td><\/tr><tr><td><\/td><td>\u6700\u5c0f\u5316\u91cd\u6784\u8bef\u5dee + KL \u6563\u5ea6<\/td><td>\u5b66\u4e60\u672a\u6765\u7684\u4e0d\u786e\u5b9a\u6027\u7ed3\u6784<\/td><\/tr><tr><td>\u63a8\u7406<\/td><td>\u8f93\u5165 x\uff0c\u91c7\u6837 z<\/td><td>\u6839\u636e\u4e0d\u540c z \u751f\u6210\u591a\u79cd\u672a\u6765<\/td><\/tr><tr><td>\u8f93\u51fa<\/td><td>(\\hat{y}_1, \\hat{y}_2, \\hat{y}_3, \\dots)<\/td><td>\u8868\u793a\u4e0d\u540c\u7684\u53ef\u80fd\u8fd0\u52a8\u8f68\u8ff9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u793a\u4f8b\uff08\u76f4\u89c2\u56fe\uff09\uff1a<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8f93\u5165\uff1a\u5386\u53f2\u8f68\u8ff9\n     \u00b7\u00b7\u00b7\u00b7\u2192\u2192\u2192\u2192\u2192\nCVAE \u8f93\u51fa\uff1a\n    (z\u2081) \u2192 \u5de6\u8f6c\u8f68\u8ff9\n    (z\u2082) \u2192 \u76f4\u884c\u8f68\u8ff9\n    (z\u2083) \u2192 \u53f3\u8f6c\u8f68\u8ff9\n<\/code><\/pre>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u6bcf\u4e2a z \u4ee3\u8868\u201c\u672a\u6765\u6a21\u5f0f\u201d\u7684\u4e00\u4e2a\u62bd\u6837\u3002<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u4e0e\u666e\u901aVAE\u7684\u533a\u522b<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7279\u6027<\/th><th>VAE<\/th><th>CVAE<\/th><\/tr><\/thead><tbody><tr><td>\u8f93\u5165<\/td><td>x<\/td><td>\u6761\u4ef6 x + \u76ee\u6807 y<\/td><\/tr><tr><td>\u8f93\u51fa<\/td><td>x\u0302<\/td><td>\u0177\uff08\u5728\u6761\u4ef6 x \u4e0b\u751f\u6210\uff09<\/td><\/tr><tr><td>\u6f5c\u53d8\u91cf<\/td><td>z ~ q(z<\/td><td>x)<\/td><\/tr><tr><td>\u5e94\u7528<\/td><td>\u65e0\u6761\u4ef6\u751f\u6210<\/td><td>\u6709\u6761\u4ef6\u751f\u6210\uff08\u9884\u6d4b\u3001\u7ffb\u8bd1\u3001\u8865\u5168\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001CVAE \u7684\u6838\u5fc3\u4f18\u52bf<\/h2>\n\n\n\n<p>\u2705 1. <strong>\u591a\u6a21\u6001\u8f93\u51fa<\/strong>\uff1a\u901a\u8fc7\u91c7\u6837\u6f5c\u53d8\u91cf z\uff0c\u53ef\u751f\u6210\u591a\u79cd\u53ef\u80fd\u7ed3\u679c\uff1b<br>\u2705 2. <strong>\u6761\u4ef6\u53ef\u63a7\u6027\u5f3a<\/strong>\uff1a\u53ef\u6839\u636e\u7279\u5b9a\u8f93\u5165 x \u63a7\u5236\u8f93\u51fa\uff1b<br>\u2705 3. <strong>\u6982\u7387\u53ef\u89e3\u91ca\u6027<\/strong>\uff1a\u80fd\u663e\u5f0f\u5efa\u6a21\u672a\u6765\u7684\u4e0d\u786e\u5b9a\u6027\uff1b<br>\u2705 4. <strong>\u517c\u5bb9\u591a\u79cd\u7ed3\u6784<\/strong>\uff1aLSTM\u3001Transformer\u3001GNN\u3001CNN \u7b49\u90fd\u53ef\u4f5c\u4e3a\u7f16\u7801\/\u89e3\u7801\u5668\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u516d\u3001\u5728\u8f68\u8ff9\u9884\u6d4b\u4e2d\u7684\u5178\u578b\u5e94\u7528<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u6a21\u578b<\/th><th>\u601d\u8def<\/th><th>\u7279\u70b9<\/th><\/tr><\/thead><tbody><tr><td><strong>DESIRE (CVPR 2017)<\/strong><\/td><td>CVAE + Ranking<\/td><td>\u9996\u4e2aCVAE\u8f68\u8ff9\u9884\u6d4b\u6a21\u578b<\/td><\/tr><tr><td><strong>Trajectron++ (ICRA 2020)<\/strong><\/td><td>CVAE + \u56fe\u795e\u7ecf\u7f51\u7edc<\/td><td>\u5904\u7406\u591a\u667a\u80fd\u4f53\u52a8\u6001\u4ea4\u4e92<\/td><\/tr><tr><td><strong>PECNet (ECCV 2020)<\/strong><\/td><td>CVAE + \u7ec8\u70b9\u6761\u4ef6\u89e3\u7801<\/td><td>\u7cbe\u786e\u9884\u6d4b\u7ec8\u70b9\u3001\u591a\u6a21\u6001\u6837\u672c<\/td><\/tr><tr><td><strong>SocialVAE \/ LaneGCN-VAE<\/strong><\/td><td>\u573a\u666f\u8bed\u4e49 + CVAE<\/td><td>\u5229\u7528\u8bed\u4e49\u5730\u56fe\u589e\u5f3a\u6761\u4ef6\u5efa\u6a21<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>\u8f93\u5165\uff1a\u591a\u76ee\u6807\u8f68\u8ff9\u4fe1\u606f+\u5173\u8054\u7ea6\u675f\uff08\u77e5\u8bc6\u3001\u89c4\u5219\u3001\u8bed\u4e49\u7b49\uff09\uff0c\u8f93\u51fa\uff1a\u76ee\u6807\u7fa4\u7ec4\u5212\u5206\u4e0e\u76ee\u6807\u95f4\u5173\u7cfb\u56fe \u601d\u8def\uff1a 1.\u6570\u636e\u9884\u5904\u7406 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-252","post","type-post","status-publish","format-standard","hentry","category-11"],"_links":{"self":[{"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/posts\/252","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/comments?post=252"}],"version-history":[{"count":3,"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/posts\/252\/revisions"}],"predecessor-version":[{"id":257,"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/posts\/252\/revisions\/257"}],"wp:attachment":[{"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/media?parent=252"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/categories?post=252"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.zeronely.cn\/index.php\/wp-json\/wp\/v2\/tags?post=252"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}