{"id":2212,"date":"2024-09-26T16:23:55","date_gmt":"2024-09-26T08:23:55","guid":{"rendered":"https:\/\/www.gnn.club\/?p=2212"},"modified":"2025-03-12T15:05:21","modified_gmt":"2025-03-12T07:05:21","slug":"%e5%bc%ba%e5%8c%96%e5%ad%a6%e4%b9%a0%ef%bc%88drl%ef%bc%89","status":"publish","type":"post","link":"http:\/\/gnn.club\/?p=2212","title":{"rendered":"\u5f3a\u5316\u5b66\u4e60\uff08DRL\uff09"},"content":{"rendered":"<h1><img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926164437847.png\" style=\"height:50px;display:inline\"> Deep Learning<\/h1>\n<hr \/>\n<p>create by Arwin Yu<\/p>\n<h2>Tutorial 09 - Deep Reinforcement Learning(DRL)<\/h2>\n<hr \/>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926164522677.png\" style=\"height:400px\">\n<\/p>\n<h3><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/bubbles\/50\/000000\/checklist.png\" style=\"height:50px;display:inline\"> Agenda<\/h3>\n<hr \/>\n<ul>\n<li>\u5f3a\u5316\u5b66\u4e60\u57fa\u672c\u539f\u7406\n<ul>\n<li>\u57fa\u7840\u6982\u5ff5<\/li>\n<li>\u968f\u673a\u6027<\/li>\n<li>gym\u5e93<\/li>\n<\/ul>\n<\/li>\n<li>\u57fa\u4e8e\u4ef7\u503c\u7684\u5b66\u4e60\n<ul>\n<li>\u8d1d\u5c14\u66fc\u65b9\u7a0b<\/li>\n<li>\u65f6\u5e8f\u5dee\u5206<\/li>\n<li>\u8bc4\u4f30\u7f51\u7edc\u4e0e\u76ee\u6807\u7f51\u7edc<\/li>\n<\/ul>\n<\/li>\n<li>\u57fa\u4e8e\u7b56\u7565\u7684\u5b66\u4e60\n<ul>\n<li>\u7b56\u7565\u68af\u5ea6\u4f18\u5316<\/li>\n<li>Reinforce\u7b97\u6cd5<\/li>\n<\/ul>\n<\/li>\n<li>\u6f14\u5458\u8bc4\u8bba\u5bb6\u6a21\u578b\n<ul>\n<li>\u6f14\u5458\u9009\u62e9\u52a8\u4f5c<\/li>\n<li>\u8bc4\u8bba\u5bb6\u8fdb\u884c\u8bc4\u4ef7<\/li>\n<li>\u5bf9\u6bd4\u751f\u6210\u5bf9\u6297\u7f51\u7edc<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/cute-clipart\/64\/000000\/alarm.png\" style=\"height:50px;display:inline\"> \u5f3a\u5316\u5b66\u4e60\u7684\u57fa\u672c\u539f\u7406<\/h2>\n<hr \/>\n<p>\u5728\u8fd9\u4e2a\u4e0d\u65ad\u8fdb\u6b65\u7684\u6280\u672f\u4e16\u754c\u4e2d\uff0c\u5f3a\u5316\u5b66\u4e60\uff08Reinforcement Learning, RL\uff09\u4f5c\u4e3a\u673a\u5668\u5b66\u4e60\u7684\u4e00\u4e2a\u91cd\u8981\u5206\u652f\uff0c\u6b63\u8fc5\u901f\u53d1\u5c55\u6210\u4e3a\u7406\u89e3\u4eba\u5de5\u667a\u80fd\uff08AI\uff09\u548c\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u5173\u952e\u3002\u4e0e\u4f20\u7edf\u7684\u673a\u5668\u5b66\u4e60\u65b9\u6cd5\u76f8\u6bd4\uff0c\u5f3a\u5316\u5b66\u4e60\u72ec\u7279\u5730<strong>\u4e13\u6ce8\u4e8e\u5b66\u4e60\u5982\u4f55\u57fa\u4e8e\u73af\u5883\u7684\u53cd\u9988\u4f5c\u51fa\u6700\u4f18\u51b3\u7b56<\/strong>\u3002\u8fd9\u79cd\u65b9\u6cd5\u5728\u591a\u79cd\u590d\u6742\u7684\u3001\u9700\u8981\u8fde\u7eed\u51b3\u7b56\u7684\u95ee\u9898\u4e2d\u663e\u793a\u51fa\u5de8\u5927\u6f5c\u529b\uff0c\u4ece\u800c\u5728\u8fd1\u5e74\u6765\u83b7\u5f97\u4e86\u663e\u8457\u7684\u5173\u6ce8\u3002 \u5f3a\u5316\u5b66\u4e60\u4e0d\u4ec5\u4e3a\u673a\u5668\u63d0\u4f9b\u4e86\u5b66\u4e60\u5982\u4f55\u5728\u590d\u6742\u73af\u5883\u4e2d\u4f5c\u51fa\u51b3\u7b56\u7684\u80fd\u529b\uff0c\u800c\u4e14\u5b83\u7684\u5e94\u7528\u6b63\u5728\u6539\u53d8\u6211\u4eec\u7684\u4e16\u754c\u3002<\/p>\n<ul>\n<li>\n<p>\u5b83\u5728\u8bb8\u591a\u9886\u57df\u4e2d\u90fd\u53d1\u6325\u7740\u91cd\u8981\u4f5c\u7528\uff0c\u4f8b\u5982\uff1a<\/p>\n<ul>\n<li>\n<p>\u673a\u5668\u4eba\u6280\u672f\uff1a\u8ba9\u673a\u5668\u4eba\u5b66\u4e60\u5982\u4f55\u6267\u884c\u590d\u6742\u4efb\u52a1\uff0c\u5982\u884c\u8d70\u6216\u6293\u53d6\u3002<\/p>\n<\/li>\n<li>\n<p>\u6e38\u620f\uff1aAI\u73a9\u5bb6\u5b66\u4e60\u5982\u4f55\u5728\u590d\u6742\u6e38\u620f\u4e2d\u51fb\u8d25\u4eba\u7c7b\u5bf9\u624b\u3002<\/p>\n<\/li>\n<li>\n<p>\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\uff1a\u81ea\u52a8\u9a7e\u9a76\u6280\u672f\u7684\u6838\u5fc3\u4e4b\u4e00\uff0c\u4f7f\u6c7d\u8f66\u80fd\u591f\u5728\u590d\u6742\u7684\u9053\u8def\u73af\u5883\u4e2d\u505a\u51fa\u5feb\u901f\u53cd\u5e94\u3002<\/p>\n<\/li>\n<li>\n<p>\u4e2a\u6027\u5316\u63a8\u8350\u7cfb\u7edf\uff1a\u57fa\u4e8e\u7528\u6237\u884c\u4e3a\u548c\u504f\u597d\u7684\u52a8\u6001\u8c03\u6574\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u968f\u7740\u6280\u672f\u7684\u4e0d\u65ad\u8fdb\u6b65\u548c\u521b\u65b0\uff0c\u5f3a\u5316\u5b66\u4e60\u5728\u672a\u6765\u53ef\u80fd\u4f1a\u6709\u66f4\u52a0\u5e7f\u6cdb\u7684\u5e94\u7528\u573a\u666f\uff1a<\/p>\n<ul>\n<li>\n<p>\u667a\u80fd\u7535\u7f51\uff1a\u4f18\u5316\u80fd\u6e90\u5206\u914d\u548c\u6d88\u8017\uff0c\u5b9e\u73b0\u66f4\u9ad8\u6548\u7684\u7535\u529b\u7ba1\u7406\u3002<\/p>\n<\/li>\n<li>\n<p>\u533b\u7597\u4fdd\u5065\uff1a\u534f\u52a9\u533b\u751f\u505a\u51fa\u66f4\u51c6\u786e\u7684\u8bca\u65ad\u548c\u6cbb\u7597\u51b3\u7b56\u3002<\/p>\n<\/li>\n<li>\n<p>\u667a\u80fd\u57ce\u5e02\uff1a\u5728\u57ce\u5e02\u89c4\u5212\u548c\u7ba1\u7406\u4e2d\uff0c\u4f18\u5316\u4ea4\u901a\u6d41\u91cf\u548c\u516c\u5171\u670d\u52a1\u3002<\/p>\n<\/li>\n<li>\n<h2>\u91d1\u878d\u9886\u57df\uff1a\u5728\u6295\u8d44\u548c\u98ce\u9669\u7ba1\u7406\u4e2d\u505a\u51fa\u66f4\u7cbe\u51c6\u7684\u9884\u6d4b\u548c\u51b3\u7b56\u3002<\/h2>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=uIn7DontI5W6&format=png&color=000000\" style=\"height:50px;display:inline\"> \u5f3a\u5316\u5b66\u4e60\u57fa\u672c\u6982\u5ff5<\/h2>\n<ul>\n<li>\n<p><strong>\u667a\u80fd\u4f53<\/strong>\uff08Agent\uff09\uff1a\u5728\u5f3a\u5316\u5b66\u4e60\uff08RL\uff09\u6846\u67b6\u4e2d\uff0c\u667a\u80fd\u4f53\u662f\u6307\u4e00\u4e2a\u80fd\u591f\u89c2\u5bdf\u5e76\u4e0e\u73af\u5883\u4ea4\u4e92\u7684\u5b9e\u4f53\u3002\u5b83\u901a\u8fc7\u6267\u884c\u52a8\u4f5c\u5e76\u6839\u636e\u73af\u5883\u53cd\u9988\uff08\u901a\u5e38\u662f\u5956\u52b1\u4fe1\u53f7\uff09\u6765\u505a\u51fa\u51b3\u7b56\u7684\u7cfb\u7edf\u3002\u667a\u80fd\u4f53\u7684\u76ee\u6807\u662f\u5b66\u4e60\u5982\u4f55\u9009\u62e9\u52a8\u4f5c\u4ee5\u6700\u5927\u5316\u957f\u671f\u7d2f\u8ba1\u5956\u52b1\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u73af\u5883<\/strong>\uff08Environment\uff09\uff1a\u73af\u5883\u662f\u667a\u80fd\u4f53\u6240\u5904\u7684\u5916\u90e8\u7cfb\u7edf\uff0c\u5b83\u5b9a\u4e49\u4e86\u95ee\u9898\u7684\u754c\u9650\u548c\u89c4\u5219\u3002\u5728\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u73af\u5883\u63a5\u6536\u667a\u80fd\u4f53\u7684\u52a8\u4f5c\u5e76\u54cd\u5e94\u7ed9\u51fa\u65b0\u7684\u72b6\u6001\u548c\u5956\u52b1\uff0c\u8fd9\u51b3\u5b9a\u4e86\u667a\u80fd\u4f53\u7684\u5b66\u4e60\u8fc7\u7a0b\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u72b6\u6001<\/strong>\uff08State,s\uff09\uff1a\u72b6\u6001\u662f\u5bf9\u73af\u5883\u5728\u7279\u5b9a\u65f6\u523b\u7684\u63cf\u8ff0\u6216\u89c2\u5bdf\u3002\u5b83\u901a\u5e38\u88ab\u89c6\u4e3a\u667a\u80fd\u4f53\u7528\u6765\u505a\u51fa\u51b3\u7b56\u7684\u4fe1\u606f\u96c6\u5408\u3002\u72b6\u6001\u5fc5\u987b\u5305\u542b\u5173\u4e8e\u73af\u5883\u7684\u8db3\u591f\u4fe1\u606f\uff0c\u4ee5\u4fbf\u667a\u80fd\u4f53\u80fd\u591f\u6709\u6548\u5730\u505a\u51fa\u884c\u52a8\u9009\u62e9\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u72b6\u6001\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570<\/strong>\uff08State Probability Density Function\uff09\uff1a\u72b6\u6001\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u662f\u4e00\u4e2a\u6570\u5b66\u51fd\u6570\uff0c\u7528\u4e8e\u63cf\u8ff0\u5728\u7ed9\u5b9a\u5f53\u524d\u72b6\u6001\u548c\u667a\u80fd\u4f53\u7684\u52a8\u4f5c\u4e0b\uff0c\u73af\u5883\u8f6c\u79fb\u5230\u5404\u4e2a\u53ef\u80fd\u4e0b\u4e00\u72b6\u6001\u7684\u6982\u7387\u5206\u5e03\u3002\u8fd9\u4e2a\u51fd\u6570\u662f\u7406\u89e3\u548c\u9884\u6d4b\u73af\u5883\u52a8\u6001\u7684\u6838\u5fc3\u8981\u7d20\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u72b6\u6001\u4ef7\u503c\u51fd\u6570<\/strong>\uff08State Value Function, V(s)\uff09\uff1a\u72b6\u6001\u4ef7\u503c\u51fd\u6570\u662f\u4e00\u4e2a\u51fd\u6570\uff0c\u5b83\u7ed9\u51fa\u4e86\u5728\u7b56\u7565\u03c0\u4e0b\uff0c\u4ece\u72b6\u6001s\u5f00\u59cb\u5e76\u9075\u5faa\u8be5\u7b56\u7565\u6240\u80fd\u83b7\u5f97\u7684\u9884\u671f\u56de\u62a5\u7684\u4f30\u8ba1\u503c\u3002\u72b6\u6001\u4ef7\u503c\u51fd\u6570\u662f\u7528\u4e8e\u8bc4\u4f30\u5728\u67d0\u72b6\u6001\u4e0b\u5f00\u59cb\u5e76\u9075\u5faa\u7279\u5b9a\u7b56\u7565\u6240\u80fd\u8fbe\u5230\u7684\u957f\u671f\u8868\u73b0\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u7b56\u7565<\/strong>\uff08Policy, \u03c0\uff09\uff1a\u7b56\u7565\u662f\u4ece\u72b6\u6001\u5230\u52a8\u4f5c\u7684\u6620\u5c04\u3002\u5728\u786e\u5b9a\u6027\u7b56\u7565\u4e2d\uff0c\u5b83\u5b9a\u4e49\u4e86\u5728\u7ed9\u5b9a\u72b6\u6001\u4e0b\u667a\u80fd\u4f53\u5c06\u8981\u6267\u884c\u7684\u52a8\u4f5c\uff1b\u5728\u968f\u673a\u6027\u7b56\u7565\u4e2d\uff0c\u5b83\u5b9a\u4e49\u4e86\u5728\u7ed9\u5b9a\u72b6\u6001\u4e0b\u9009\u62e9\u6bcf\u4e2a\u53ef\u80fd\u52a8\u4f5c\u7684\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u52a8\u4f5c<\/strong>\uff08Action\uff0ca\uff09\uff1a\u52a8\u4f5c\u662f\u667a\u80fd\u4f53\u53ef\u4ee5\u5728\u7ed9\u5b9a\u72b6\u6001\u4e0b\u9009\u62e9\u6267\u884c\u7684\u4efb\u4f55\u64cd\u4f5c\u3002\u52a8\u4f5c\u6839\u636e\u73af\u5883\u7684\u53cd\u9988\u5f71\u54cd\u667a\u80fd\u4f53\u6240\u5904\u7684\u72b6\u6001\u4ee5\u53ca\u5b83\u63a5\u6536\u5230\u7684\u7d2f\u8ba1\u56de\u62a5\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u52a8\u4f5c\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570<\/strong>\uff08Action Probability Density Function\uff09\uff1a\u8fd9\u4e2a\u51fd\u6570\u63cf\u8ff0\u4e86\u5728\u7ed9\u5b9a\u72b6\u6001\u548c\u7b56\u7565\u4e0b\uff0c\u9009\u62e9\u6bcf\u4e2a\u53ef\u80fd\u52a8\u4f5c\u7684\u6982\u7387\u5206\u5e03\u3002\u7279\u522b\u662f\u5728\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u4e2d\uff0c\u8fd9\u4e2a\u51fd\u6570\u5b9a\u4e49\u4e86\u6240\u6709\u53ef\u80fd\u52a8\u4f5c\u7684\u6982\u7387\u5bc6\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u52a8\u4f5c\u4ef7\u503c\u51fd\u6570<\/strong>\uff08Action-Value Function, Q(s,a)\uff09\uff1a\u52a8\u4f5c\u4ef7\u503c\u51fd\u6570\u6216Q\u51fd\u6570\uff0c\u7ed9\u51fa\u4e86\u5728\u7b56\u7565\u03c0\u4e0b\uff0c\u4ece\u72b6\u6001s\u5f00\u59cb\u5e76\u91c7\u53d6\u52a8\u4f5ca\uff0c\u7136\u540e\u9075\u5faa\u7b56\u7565\u03c0\u6240\u80fd\u83b7\u5f97\u7684\u9884\u671f\u56de\u62a5\u7684\u4f30\u8ba1\u503c\u3002\u5b83\u662f\u8bc4\u4f30\u5728\u7279\u5b9a\u72b6\u6001\u4e0b\u6267\u884c\u7279\u5b9a\u52a8\u4f5c\u5e76\u968f\u540e\u9075\u5faa\u7279\u5b9a\u7b56\u7565\u7684\u957f\u671f\u8868\u73b0\u7684\u5173\u952e\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u56de\u62a5<\/strong>\uff08Reward\uff09\uff1a\u56de\u62a5\u662f\u73af\u5883\u6839\u636e\u667a\u80fd\u4f53\u6267\u884c\u7684\u52a8\u4f5c\u7ed9\u51fa\u7684\u7acb\u5373\u53cd\u9988\u3002\u5b83\u662f\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u5f15\u5bfc\u667a\u80fd\u4f53\u5b66\u4e60\u548c\u884c\u52a8\u9009\u62e9\u7684\u5173\u952e\u4fe1\u53f7\u3002<\/p>\n<\/li>\n<\/ul>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926164609304.png\" style=\"height:300px\">\n<\/p>\n<ul>\n<li>\n<p><strong>\u7d2f\u8ba1\u56de\u62a5<\/strong>\uff08Cumulative Reward\uff09\uff1a\u7d2f\u8ba1\u56de\u62a5\u662f\u4ece\u5f53\u524d\u65f6\u523b\u5f00\u59cb\u5230\u672a\u6765\u67d0\u4e2a\u65f6\u95f4\u70b9\u6216\u65f6\u5e8f\u7ed3\u675f\u65f6\uff0c\u667a\u80fd\u4f53\u83b7\u5f97\u7684\u56de\u62a5\u4e4b\u548c\u3002\u5b83\u662f\u5f3a\u5316\u5b66\u4e60\u4e2d\u6700\u5173\u6ce8\u7684\u4f18\u5316\u76ee\u6807\uff0c\u667a\u80fd\u4f53\u7684\u5b66\u4e60\u548c\u51b3\u7b56\u65e8\u5728\u6700\u5927\u5316\u8fd9\u4e2a\u7d2f\u8ba1\u503c\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u63a2\u7d22<\/strong>\uff08Exploration\uff09\uff1a\u63a2\u7d22\u662f\u667a\u80fd\u4f53\u5c1d\u8bd5\u672a\u77e5\u6216\u8f83\u5c11\u5c1d\u8bd5\u52a8\u4f5c\u7684\u8fc7\u7a0b\uff0c\u76ee\u7684\u662f\u53d1\u73b0\u66f4\u6709\u4ef7\u503c\u7684\u884c\u52a8\u9009\u62e9\u6216\u4fe1\u606f\uff0c\u4ee5\u6539\u5584\u5176\u51b3\u7b56\u7b56\u7565\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u5229\u7528<\/strong>\uff08Exploitation\uff09\uff1a\u5229\u7528\u662f\u6307\u667a\u80fd\u4f53\u9009\u62e9\u90a3\u4e9b\u5df2\u77e5\u4e3a\u4ea7\u751f\u6700\u5927\u56de\u62a5\u7684\u52a8\u4f5c\u7684\u8fc7\u7a0b\u3002\u5728\u5229\u7528\u4e2d\uff0c\u667a\u80fd\u4f53\u4f9d\u8d56\u5df2\u6709\u77e5\u8bc6\u505a\u51fa\u51b3\u7b56\uff0c\u800c\u975e\u5bfb\u6c42\u65b0\u7684\u4fe1\u606f\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u8f68\u8ff9<\/strong>\uff08Trajectory\uff09\uff1a\u5728\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u8f68\u8ff9\u662f\u6307\u667a\u80fd\u4f53\u5728\u4e0e\u73af\u5883\u4ea4\u4e92\u8fc7\u7a0b\u4e2d\u7ecf\u5386\u7684\u4e00\u7cfb\u5217\u72b6\u6001\uff08s\uff09\u3001\u52a8\u4f5c\uff08a\uff09\u548c\u5956\u52b1\uff08r\uff09\u7684\u5e8f\u5217\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>\u7406\u89e3\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u968f\u673a\u6027<\/h3>\n<p>\u5728\u5f3a\u5316\u5b66\u4e60\uff08Reinforcement Learning, RL\uff09\u4e2d\uff0c\u968f\u673a\u6027\uff08\u6216\u4e0d\u786e\u5b9a\u6027\uff09\u662f\u4e00\u4e2a\u6838\u5fc3\u6982\u5ff5\uff0c\u5b83\u51fa\u73b0\u5728\u5404\u4e2a\u65b9\u9762\uff0c\u5305\u62ec\u73af\u5883\u7684\u52a8\u6001\u7279\u6027\u3001\u667a\u80fd\u4f53\u7684\u7b56\u7565\u3001\u5b66\u4e60\u8fc7\u7a0b\u548c\u5956\u52b1\u4fe1\u53f7\u7b49\u3002\u7406\u89e3\u548c\u5904\u7406\u8fd9\u4e9b\u968f\u673a\u6027\u5bf9\u4e8e\u8bbe\u8ba1\u6709\u6548\u7684RL\u7b97\u6cd5\u81f3\u5173\u91cd\u8981\u3002\u4ee5\u4e0b\u8be6\u7ec6\u4ecb\u7ecd\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u968f\u673a\u6027\uff1a<\/p>\n<ul>\n<li>\n<p><strong>\u73af\u5883\u7684\u968f\u673a\u6027<\/strong><\/p>\n<ul>\n<li>\u72b6\u6001\u8f6c\u79fb\u7684\u968f\u673a\u6027\uff1a \u5728\u5927\u591a\u6570\u5f3a\u5316\u5b66\u4e60\u95ee\u9898\u4e2d\uff0c\u73af\u5883\u7684\u72b6\u6001\u8f6c\u79fb\u53ef\u80fd\u5177\u6709\u968f\u673a\u6027\u3002\u5373\u5f53\u667a\u80fd\u4f53\u5728\u67d0\u72b6\u6001\u4e0b\u6267\u884c\u4e00\u4e2a\u52a8\u4f5c\u65f6\uff0c\u5b83\u53ef\u80fd\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u8f6c\u79fb\u5230\u591a\u4e2a\u4e0d\u540c\u7684\u540e\u7eed\u72b6\u6001\u3002 <\/li>\n<li>\u5956\u52b1\u7684\u968f\u673a\u6027\uff1a \u5728\u67d0\u4e9bRL\u95ee\u9898\u4e2d\uff0c\u5373\u4f7f\u5728\u76f8\u540c\u7684\u72b6\u6001\u548c\u52a8\u4f5c\u4e0b\uff0c\u6bcf\u6b21\u5f97\u5230\u7684\u5956\u52b1\u4e5f\u53ef\u80fd\u6709\u6240\u4e0d\u540c\uff0c\u53cd\u6620\u4e86\u73af\u5883\u4e2d\u7684\u4e0d\u786e\u5b9a\u6027\u6216\u566a\u58f0\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u7b56\u7565\u7684\u968f\u673a\u6027<\/strong>\uff1a<\/p>\n<ul>\n<li>\u63a2\u7d22\u4e0e\u5229\u7528\uff1a\u5728\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u667a\u80fd\u4f53\u9700\u8981\u5728\u63a2\u7d22\uff08\u5c1d\u8bd5\u65b0\u7684\u6216\u5c11\u89c1\u7684\u884c\u52a8\u4ee5\u83b7\u5f97\u66f4\u591a\u4fe1\u606f\uff09\u548c\u5229\u7528\uff08\u6839\u636e\u5df2\u6709\u77e5\u8bc6\u9009\u62e9\u6700\u4f73\u884c\u52a8\uff09\u4e4b\u95f4\u627e\u5230\u5e73\u8861\u3002 \u63a2\u7d22\u901a\u5e38\u6d89\u53ca\u968f\u673a\u6027\uff0c\u4f8b\u5982\uff0c\u667a\u80fd\u4f53\u53ef\u80fd\u4f1a\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u52a8\u4f5c\uff0c\u800c\u4e0d\u662f\u603b\u662f\u9009\u62e9\u5f53\u524d\u770b\u6765\u6700\u4f73\u7684\u52a8\u4f5c\u3002<\/li>\n<li>\u968f\u673a\u7b56\u7565\uff1a \u5728\u67d0\u4e9b\u7b97\u6cd5\u4e2d\uff0c\u5982\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\uff0c\u7b56\u7565\u672c\u8eab\u53ef\u80fd\u662f\u968f\u673a\u7684\uff0c\u610f\u5473\u7740\u5373\u4f7f\u5728\u76f8\u540c\u7684\u72b6\u6001\u4e0b\uff0c\u667a\u80fd\u4f53\u4e5f\u53ef\u80fd\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u9009\u62e9\u4e0d\u540c\u7684\u52a8\u4f5c\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u5b66\u4e60\u8fc7\u7a0b\u7684\u968f\u673a\u6027<\/strong>\uff1a<\/p>\n<ul>\n<li>\u521d\u59cb\u5316\uff1a\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u7684\u6027\u80fd\u53ef\u80fd\u53d7\u5230\u521d\u59cb\u6761\u4ef6\u7684\u5f71\u54cd\uff0c\u6bd4\u5982\u795e\u7ecf\u7f51\u7edc\u6743\u91cd\u7684\u521d\u59cb\u968f\u673a\u8d4b\u503c\u3002 \u53e6\u5916\uff0c\u5728\u4f7f\u7528\u7ecf\u9a8c\u56de\u653e\uff08\u5982DQN\u4e2d\uff09\u7684\u5b66\u4e60\u8fc7\u7a0b\u4e2d\uff0c\u4ece\u7ecf\u9a8c\u7f13\u51b2\u6c60\u4e2d\u968f\u673a\u62bd\u53d6\u6837\u672c\u4e5f\u5f15\u5165\u4e86\u968f\u673a\u6027\u3002<\/li>\n<li>\u968f\u673a\u68af\u5ea6\u4e0b\u964d\uff08Stochastic Gradient Descent, SGD\uff09\uff1a\u5728\u57fa\u4e8e\u68af\u5ea6\u7684\u5b66\u4e60\u65b9\u6cd5\u4e2d\uff0c\u68af\u5ea6\u7684\u4f30\u8ba1\u901a\u5e38\u57fa\u4e8e\u968f\u673a\u9009\u62e9\u7684\u6837\u672c\uff0c\u800c\u975e\u5168\u4f53\u6570\u636e\u96c6\uff0c\u8fd9\u4e5f\u5f15\u5165\u4e86\u968f\u673a\u6027\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u968f\u673a\u6027\u662f\u53cc\u5203\u5251\uff1a<\/p>\n<ul>\n<li>\u4e00\u65b9\u9762\u5b83\u589e\u52a0\u4e86\u5b66\u4e60\u8fc7\u7a0b\u7684\u590d\u6742\u6027\u548c\u6311\u6218\uff1b<\/li>\n<li>\u53e6\u4e00\u65b9\u9762\uff0c\u9002\u5f53\u7684\u968f\u673a\u6027\u6709\u52a9\u4e8e\u667a\u80fd\u4f53\u63a2\u7d22\u73af\u5883\uff0c\u907f\u514d\u9677\u5165\u5c40\u90e8\u6700\u4f18\u3002<\/li>\n<li>\u56e0\u6b64\uff0c\u5408\u7406\u5730\u7406\u89e3\u548c\u5229\u7528\u968f\u673a\u6027\u662f\u8bbe\u8ba1\u9ad8\u6548\u5f3a\u5316\u5b66\u4e60\u7cfb\u7edf\u7684\u5173\u952e\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=XiSP6YsZ9SZ0&format=png&color=000000\" style=\"height:50px;display:inline\"> \u57fa\u4e8e\u4ef7\u503c\u7684\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\uff08DQN\uff09<\/h2>\n<hr \/>\n<p>\u8981\u7406\u89e3DQN\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u7406\u89e3Q\u503c\u3002Q\u503c\u662f\u4e00\u4e2a\u51fd\u6570\uff0cQ(s, a)\u8868\u793a\u5728\u72b6\u6001s\u4e0b\u6267\u884c\u52a8\u4f5ca\u53ef\u4ee5\u5f97\u5230\u7684\u9884\u671f\u5956\u52b1\u3002<\/p>\n<p>\u76f4\u89c2\u4e0a\u8bb2\uff0c<strong>Q\u503c\u544a\u8bc9\u667a\u80fd\u4f53\u54ea\u4e9b\u52a8\u4f5c\u5728\u957f\u671f\u6765\u770b\u66f4\u6709\u5229<\/strong>\u3002<\/p>\n<p><strong>Q\u5b66\u4e60\u7684\u76ee\u6807\u662f\u627e\u5230\u6700\u4f18\u7684Q\u503c\u51fd\u6570<\/strong>\uff0c\u4ece\u800c\u667a\u80fd\u4f53\u53ef\u4ee5\u901a\u8fc7\u67e5\u770bQ\u503c\u6765\u9009\u62e9\u6700\u4f73\u52a8\u4f5c\u3002<\/p>\n<p>\u5982\u4f55\u627e\u5230Q\u51fd\u6570\uff1f<\/p>\n<p>\u6df1\u5ea6\u5b66\u4e60\u7684\u9b45\u529b\u5c31\u662f\u9047\u5230\u89e3\u51b3\u4e0d\u4e86\u7684\u95ee\u9898\u76f4\u63a5\u6254\u7ed9\u795e\u7ecf\u7f51\u7edc\u8fdb\u884c\u5b66\u4e60\u5373\u53ef\u3002<\/p>\n<p>\u5728DQN\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e00\u4e2a\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u6765\u9884\u6d4bQ\u503c\uff0c\u7f51\u7edc\u7684\u8f93\u5165\u662f\u72b6\u6001\uff0c\u8f93\u51fa\u662f\u6bcf\u4e2a\u52a8\u4f5c\u7684Q\u503c\u3002<\/p>\n<ul>\n<li>\n<p>\u60f3\u8c61\u4e00\u4e0b\uff0c\u6709\u4e00\u4e2a\u673a\u5668\u4eba\uff08\u667a\u80fd\u4f53\uff09\u5728\u73a9\u4e00\u4e2a\u6e38\u620f\u3002<\/p>\n<ul>\n<li>\u5b83\u7684\u76ee\u6807\u662f\u83b7\u53d6\u5c3d\u53ef\u80fd\u591a\u7684\u5206\u6570\uff08\u5956\u52b1\uff09\u3002\u6e38\u620f\u4e2d\u7684\u6bcf\u4e2a\u573a\u666f\u53ef\u4ee5\u89c6\u4e3a\u4e00\u4e2a\u201c\u72b6\u6001\u201d\uff0c\u673a\u5668\u4eba\u53ef\u4ee5\u91c7\u53d6\u5404\u79cd\u52a8\u4f5c\uff08\u6bd4\u5982\u5411\u5de6\u8d70\u3001\u5411\u53f3\u8d70\uff09\u3002<\/li>\n<li>\u5728DQN\u4e2d\uff0c\u6211\u4eec\u8ba9\u673a\u5668\u4eba\u81ea\u5df1\u5b66\u4e60\u3002\u673a\u5668\u4eba\u4f1a\u5c1d\u8bd5\u4e0d\u540c\u7684\u52a8\u4f5c\uff0c\u5e76\u89c2\u5bdf\u54ea\u4e9b\u52a8\u4f5c\u5e26\u6765\u66f4\u9ad8\u7684\u5206\u6570\u3002<\/li>\n<li>\u5728\u4f20\u7edf\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e2d\uff0c\u673a\u5668\u4eba\u6709\u4e00\u4e2a\u8bb0\u5206\u677f\uff08Q\u8868\uff09\uff0c\u4e0a\u9762\u8bb0\u5f55\u4e86\u5728\u6bcf\u4e2a\u573a\u666f\uff08\u72b6\u6001\uff09\u4e2d\u91c7\u53d6\u4e0d\u540c\u52a8\u4f5c\u53ef\u80fd\u83b7\u5f97\u7684\u5206\u6570\u3002\u5373Sarsa\u7b97\u6cd5\u3002<\/li>\n<li>\u5728\u6e38\u620f\u53d8\u5f97\u975e\u5e38\u590d\u6742\u65f6\uff0c\u8bb0\u5206\u677f\uff08Q\u8868\uff09\u53d8\u5f97\u975e\u5e38\u5927\uff0c\u673a\u5668\u4eba\u4e0d\u53ef\u80fd\u8bb0\u4f4f\u6240\u6709\u7684\u4fe1\u606f\u3002<\/li>\n<li>\u5728DQN\u4e2d\uff0c\u6211\u4eec\u7528\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u6765\u5e2e\u52a9\u673a\u5668\u4eba\u4f30\u8ba1\u8fd9\u4e2a\u8bb0\u5206\u677f\u4e0a\u7684\u5206\u6570\uff0c\u5373Q\u503c\u3002\u795e\u7ecf\u7f51\u7edc\u8bd5\u56fe\u9884\u6d4b\u5728\u7279\u5b9a\u72b6\u6001\u4e0b\u91c7\u53d6\u7279\u5b9a\u52a8\u4f5c\u80fd\u5f97\u5230\u7684\u5206\u6570\uff08Q\u503c\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u95ee\u9898\u6765\u4e86\uff0c<strong>\u5982\u4f55\u4f7f\u5f97\u795e\u7ecf\u7f51\u7edc\u4f7f\u5176\u9884\u6d4b\u7684Q\u503c\u5c3d\u53ef\u80fd\u63a5\u8fd1\u771f\u5b9e\u7684Q\u503c\uff1f<\/strong><\/p>\n<p>\u6ce8\u610f\uff0c\u56e0\u4e3a\u73af\u5883\u7684\u590d\u6742\u6027\u548c\u4e0d\u786e\u5b9a\u6027\u3002\u8fd9\u4e9bQ\u503c\u901a\u5e38\u4e0d\u80fd\u76f4\u63a5\u8ba1\u7b97\uff0c\u800c\u662f\u9700\u8981\u901a\u8fc7\u4e0e\u73af\u5883\u7684\u4ea4\u4e92\u6765\u9010\u6e10\u4f30\u8ba1\u548c\u903c\u8fd1\u3002<\/p>\n<p><strong>\u8d1d\u5c14\u66fc\u65b9\u7a0b\u548c\u65f6\u5e8f\u5dee\u5206\u5b66\u4e60\u662f\u89e3\u51b3\u8fd9\u95ee\u9898\u7684\u5173\u952e\u3002<\/strong><\/p>\n<h3>\u8d1d\u5c14\u66fc\u65b9\u7a0b\u4e0e\u65f6\u5e8f\u5dee\u5206\u5b66\u4e60\uff08TD-Learning\uff09<\/h3>\n<ul>\n<li>\n<p>\u8d1d\u5c14\u66fc\u65b9\u7a0b\u662f\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u4e00\u4e2a\u6838\u5fc3\u6982\u5ff5\u3002<\/p>\n<\/li>\n<li>\n<p>\u8d1d\u5c14\u66fc\u65b9\u7a0b\u57fa\u4e8e\u9a6c\u5c14\u53ef\u592b\u51b3\u7b56\u8fc7\u7a0b\uff08MDP\uff09\uff0c\u5b83\u63d0\u4f9b\u4e86\u4e00\u79cd\u8ba1\u7b97\u5f53\u524d\u72b6\u6001\u4ef7\u503c\u6216\u52a8\u4f5c\u4ef7\u503c\uff08\u8003\u8651\u672a\u6765\u5956\u52b1\uff09\u7684\u9012\u5f52\u65b9\u6cd5\u3002<\/p>\n<\/li>\n<li>\n<p>\u9012\u5f52\u7684\u601d\u60f3\u662f\u5c06\u4e00\u4e2a\u5927\u95ee\u9898\u5206\u89e3\u4e3a\u76f8\u4f3c\u7684\u5c0f\u95ee\u9898\u3002<\/p>\n<\/li>\n<li>\n<p>\u5728\u8fd9\u91cc\uff0c\u8d1d\u5c14\u66fc\u65b9\u7a0b\u5c06\u4e00\u4e2a\u957f\u671f\u7684\u5e8f\u5217\u51b3\u7b56\u95ee\u9898\u5206\u89e3\u4e3a\u4e00\u6b65\u51b3\u7b56\u95ee\u9898\u548c\u5269\u4f59\u7684\u5e8f\u5217\u51b3\u7b56\u95ee\u9898\u3002\u5bf9\u4e8e\u52a8\u4f5c\u4ef7\u503c\u51fd\u6570$Q(s, a)$ \uff0c \u8d1d\u5c14\u66fc\u65b9\u7a0b\u53ef\u4ee5\u8868\u793a\u4e3a:<br \/>\n$$<br \/>\nQ(s, a)=\\mathbb{E}\\left[R_{t+1}+\\gamma \\max _{a^{\\prime}} Q\\left(S_{t+1}, a^{\\prime}\\right) \\mid S_t=s, A_t=a\\right]<br \/>\n$$<\/p>\n<\/li>\n<\/ul>\n<p>\u8fd9\u91cc\uff0c $\\mathbb{E}[\\cdot]$ \u8868\u793a\u671f\u671b\u503c\uff0c $R_{t+1}$ \u662f\u5956\u52b1\uff0c $\\gamma$ \u662f\u6298\u6263\u56e0\u5b50\uff0c\u7528\u6765\u8861\u91cf\u672a\u6765\u5956\u52b1\u7684\u5f53\u524d\u4ef7\u503c\u3002\u8fd9\u91cc\u6709\u51e0\u4e2a\u8981\u70b9:<\/p>\n<ol>\n<li>\u5373\u65f6\u5956\u52b1 $R_{t+1}$ : \u8868\u793a\u5728\u72b6\u6001 $s$ \u4e0b\u6267\u884c\u52a8\u4f5c $a$ \u4e4b\u540e\u667a\u80fd\u4f53\u7acb\u5373\u83b7\u5f97\u7684\u5956\u52b1\u3002<\/li>\n<li>\u6298\u6263\u672a\u6765\u5956\u52b1 $\\gamma \\max _{d^{\\prime}} Q\\left(S_{t+1}, a^{\\prime}\\right)$ : \u4ee3\u8868\u667a\u80fd\u4f53\u9884\u671f\u5728\u4e0b\u4e00\u4e2a\u72b6\u6001 $S_{t+1}$ \u91c7\u53d6\u6700\u4f73\u52a8\u4f5c $a^{\\prime}$ \u80fd\u591f\u83b7\u5f97\u7684\u6298\u6263\u540e\u7684\u672a\u6765\u56de\u62a5\u3002\u8fd9\u91cc\uff0c $\\gamma$ (\u6298\u6263\u56e0\u5b50)\u786e\u4fdd\u4e86\u672a\u6765\u7684\u5956\u52b1\u76f8\u6bd4\u4e8e\u5373\u65f6\u5956\u52b1\u7684\u91cd\u8981\u6027\u964d\u4f4e\u3002\u8fd9\u662f\u4e00\u4e2a\u7b26\u5408\u5e38\u7406\u7684\u8bbe\u5b9a\uff0c\u5c31\u50cf\u73b0\u5b9e\u751f\u6d3b\u4e2d\uff0c\u5341\u5e74\u540e\u7ed9\u4f60\u4e00\u767e\u5757\u5e26\u6765\u7684\u671f\u671b\u80af\u5b9a\u8fdc\u8fdc\u5c0f\u4e8e\u5373\u53ef\u7ed9\u4f60\u4e00\u767e\u5757\u94b1\u5e26\u6765\u7684\u671f\u671b\u3002<\/li>\n<li>\u671f\u671b\u503c $\\mathbb{E}[\\cdot]$ : \u56e0\u4e3a\u73af\u5883\u7684\u4e0d\u786e\u5b9a\u6027\u6216\u7b56\u7565\u7684\u968f\u673a\u6027\uff0c\u8d1d\u5c14\u3f5a\u65b9\u7a0b\u4f7f\u7528\u671f\u671b\u503c\u6765\u7efc\u5408\u6240\u6709\u53ef\u80fd\u7684\u4e0b\u4e00\u72b6\u6001\u548c\u5956\u52b1\uff0c\u786e\u4fdd\u667a\u80fd\u4f53\u7684\u51b3\u7b56\u8003\u8651\u4e86\u6240\u6709\u53ef\u80fd\u7684\u672a\u6765\u60c5\u666f\u3002<\/li>\n<\/ol>\n<p>\u5728\u8d1d\u5c14\u66fc\u65b9\u7a0b\u4e2d\uff0c\u671f\u671b $\\mathbb{E}[\\cdot]$ \u662f\u5173\u4e8e\u73af\u5883\u52a8\u6001\uff08\u5373\u4ece\u72b6\u6001 $s$ \u901a\u8fc7\u52a8\u4f5c $a$ \u8f6c\u79fb\u5230\u4e0b\u4e00\u4e2a\u72b6\u6001 $s^{\\prime}$ \u5e76\u83b7\u5f97\u5956\u52b1 $R_{t+1}$ ) \u7684\u7edf\u8ba1\u5e73\u5747\u3002<\/p>\n<p>\u8fd9\u4e2a\u671f\u671b\u7684\u51c6\u786e\u8ba1\u7b97\u901a\u5e38\u9700\u8981\u73af\u5883\u7684\u5b8c\u6574\u6a21\u578b (\u5373\u72b6\u6001\u8f6c\u79fb\u6982\u7387\u548c\u5956\u52b1\u51fd\u6570)\uff0c\u8fd9\u5728\u5f88\u591a\u5b9e\u9645\u5e94\u7528\u4e2d\u662f\u672a\u77e5\u7684\u6216\u8005\u96be\u4ee5\u7cbe\u786e\u83b7\u5f97\u7684\u3002<\/p>\n<p>\u8fd9\u4e3b\u8981\u662f\u56e0\u4e3a\u51e0\u4e2a\u539f\u56e0<\/p>\n<ul>\n<li>\u73af\u5883\u7684\u4e0d\u786e\u5b9a\u6027<\/li>\n<li>\u72b6\u6001\u7a7a\u95f4<\/li>\n<li>\u52a8\u4f5c\u7a7a\u95f4\u7684\u5e9e\u5927<\/li>\n<li>\u6a21\u578b\u7684\u672a\u77e5\u6027<\/li>\n<\/ul>\n<p>\u8fd9\u4e9b\u56e0\u7d20\u4f7f\u5f97\u76f4\u63a5\u8ba1\u7b97\u8d1d\u5c14\u66fc\u65b9\u7a0b\u4e2d\u7684\u671f\u671b\u503c\u53d8\u5f97\u4e0d\u5207\u5b9e\u9645\u6216\u8ba1\u7b97\u4e0a\u4e0d\u53ef\u884c\uff0c\u56e0\u6b64\u6211\u4eec\u91c7\u7528<strong>\u65f6\u5e8f\u5dee\u5206 (TD) \u5b66\u4e60\u65b9\u6cd5<\/strong>\u6765\u4f30\u8ba1\u8fd9\u4e2a\u503c\u3002<\/p>\n<p>\u5177\u4f53\u6765\u8bf4\uff0cTD\u5b66\u4e60\u7b80\u5316\u4e86\u8d1d\u5c14\u66fc\u65b9\u7a0b\uff0c\u4e0d\u5fc5\u8ba1\u7b97\u671f\u671b\uff0c\u76f4\u63a5\u4f7f\u7528\u5f53\u524d\u4f30\u8ba1\u548c\u4e0b\u4e00\u4e2a\u72b6\u6001\uff08\u6216\u4e0b\u4e00\u4e2a\u51e0\u4e2a\u72b6\u6001\uff09\u7684\u5956\u52b1\u6765\u66f4\u65b0\u4ef7\u503c\u4f30\u8ba1\uff0c\u5176\u66f4\u65b0\u89c4\u5219\u53ef\u4ee5\u8868\u8ff0\u4e3a\uff1a<\/p>\n<p>$$<br \/>\nQ\\left(S_t, A_t\\right) \\leftarrow Q\\left(S_t, A_t\\right)+\\alpha\\left[R_{t+1}+\\gamma \\max _{a^{\\prime}} Q\\left(S_{t+1}, a^{\\prime}\\right)-Q\\left(S_t, A_t\\right)\\right]<br \/>\n$$<\/p>\n<p>\u8fd9\u91cc:<\/p>\n<ul>\n<li>\n<p>$-\\alpha$ \u662f\u5b66\u4e60\u7387\u3002<\/p>\n<\/li>\n<li>\n<p>$-R_{t+1}+\\gamma \\max _{a^{\\prime}} Q\\left(S_{t+1}, a^{\\prime}\\right)$\u662f<strong>TD\u76ee\u6807<\/strong>, \u4ee3\u8868\u4e86\u5bf9\u4e0b\u4e00\u4e2a\u72b6\u6001\u7684\u4ef7\u503c\u7684\u4f30\u8ba1\u3002\u8fd9\u4e2a\u4f30\u8ba1\u65b9\u6cd5\u80af\u5b9a\u6bd4\u76f4\u63a5\u4f30\u8ba1\u4e0b\u4e00\u4e2a\u72b6\u6001\u7684\u4ef7\u503c\u8981\u51c6\u786e\uff0c\u56e0\u4e3a\u5f53\u524d\u7684\u4ef7\u503c $R_{t+1}$ \u662f\u5df2\u7ecf\u89c2\u6d4b\u5230\u7684\u3002<\/p>\n<ul>\n<li>\u8fd9\u5c31\u50cf\u4f60\u4ece\u5bb6\u51fa\u53d1\u4e0a\u5b66\u7684\u9014\u4e2d\u6709\u4e00\u4e2a\u5546\u5e97\uff0c\u5f53\u4f60\u8d70\u5230\u5546\u5e97\u65f6\u518d\u9884\u4f30\u5230\u8fbe\u5b66\u6821\u7684\u65f6\u95f4\uff0c\u80af\u5b9a\u6bd4\u521a\u4ece\u5bb6\u51fa\u53d1\u5c31\u9884\u6d4b\u5230\u6821\u65f6\u95f4\u8981\u51c6\u786e\uff0c\u56e0\u4e3a\u4ece\u5bb6\u5230\u5546\u5e97\u7684\u65f6\u95f4\u5df2\u7ecf\u88ab\u89c2\u5bdf\u5230\u4e86\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>TD\u76ee\u6807\u90a3\u4e48\u8fd9\u4e2a\u503c\u600e\u4e48\u5f97\u5230\u5462\uff1f<\/p>\n<ul>\n<li>\u5728\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\uff08\u5982DQN\uff09\u4e2d\uff0c\u795e\u7ecf\u7f51\u7edc\u88ab\u7528\u6765\u903c\u8fd1Q\u51fd\u6570\u3002\u7f51\u7edc\u7684\u8f93\u5165\u662f\u72b6\u6001\uff08\u4ee5\u53ca\u53ef\u80fd\u7684\u52a8\u4f5c\uff09\uff0c\u8f93\u51fa\u662f\u8be5\u72b6\u6001\uff08\u548c\u52a8\u4f5c\uff09\u7684Q\u503c\u4f30\u8ba1\u3002<\/li>\n<li>\u56e0\u6b64\uff0c\u5728\u4efb\u610f\u65f6\u523b\uff0c\u4e0b\u4e00\u72b6\u6001\u7684\u4ef7\u503c\u5b9e\u9645\u4e0a\u662f\u7531\u795e\u7ecf\u7f51\u7edc\u57fa\u4e8e\u5176\u5f53\u524d\u7684\u53c2\u6570\u4f30\u8ba1\u5f97\u51fa\u7684\u3002<\/li>\n<li>\u5b9e\u9645\u4e0a\uff0c\u8fd9\u4e2aTD\u76ee\u6807\u5c31\u662f\u6211\u4eec\u5728\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u65f6\u7684\u6807\u7b7e\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>$-R_{t+1}+\\gamma \\max _{a^{\\prime}} Q\\left(S_{t+1}, a^{\\prime}\\right)-Q\\left(S_t, A_t\\right)$  \u662fTD\u8bef\u5dee\uff0c\u8868\u793a\u5f53\u524d\u5956\u52b1\u52a0\u4e0a\u4e0b\u4e00\u4e2a\u72b6\u6001\u7684\u6298\u73b0\u540e\u7684\u4f30\u8ba1\u4ef7\u503c\u4e0e\u5f53\u524d\u72b6\u6001\u7684\u4f30\u8ba1\u4ef7\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\u8fd9\u91cc\u8bb0\u4f5c $\\delta_t$<\/p>\n<\/li>\n<li>\n<p>\u66f4\u65b0 $\\mathrm{Q}$ \u503c\u7684\u57fa\u672c\u601d\u60f3\u662f\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u6211\u4eec\u5728\u67d0\u4e2a\u72b6\u6001\u52a8\u4f5c\u5bf9 $\\left(S_t, A_t\\right)$ \u5f97\u5230\u7684\u5956\u52b1\u6bd4\u6211\u4eec\u539f\u672c\u9884\u671f\u7684\u8981\u591a\uff0c\u90a3\u4e48\u6211\u4eec\u5e94\u8be5\u589e\u52a0\u8fd9\u4e2a\u72b6\u6001\u52a8\u4f5c\u5bf9\u7684 $Q$ \u503c\u3002<\/li>\n<li>\u53cd\u4e4b\uff0c\u5982\u679c\u5f97\u5230\u7684\u5956\u52b1\u6bd4\u9884\u671f\u7684\u5c11\uff0c\u6211\u4eec\u5e94\u8be5\u51cf\u5c11\u8fd9\u4e2a\u72b6\u6001\u52a8\u4f5c\u5bf9\u7684 $Q$\u503c\u3002<\/li>\n<li>\u56e0\u6b64\uff0cTD\u5b66\u4e60\u4e2d\u7684 $Q$ \u503c\u66f4\u65b0\u516c\u5f0f\u4e3a:<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>$$<br \/>\nQ\\left(S_t, A_t\\right) \\leftarrow Q\\left(S_t, A_t\\right)+\\alpha \\times \\delta_t<br \/>\n$$<\/p>\n<ul>\n<li>\u8fd9\u91cc\uff0c $\\alpha$ \u662f\u5b66\u4e60\u7387\uff0c\u5b83\u51b3\u5b9a\u4e86\u6211\u4eec\u5728\u6bcf\u6b21\u66f4\u65b0\u65f6\u8981\u6539\u53d8\u591a\u5c11 $\\mathrm{Q}$ \u503c\u3002<\/li>\n<li>\u7406\u89e3\u8fd9\u4e2a\u66f4\u65b0\u8fc7\u7a0b\u5982\u679c $\\delta_t$ \u4e3a\u6b63 (\u5b9e\u9645\u83b7\u5f97\u7684\u5956\u52b1\u52a0\u4e0a\u5bf9\u672a\u6765\u5956\u52b1\u7684\u4f30\u8ba1\u8d85\u8fc7\u4e86\u5f53\u524d $Q$ \u503c\u7684\u4f30\u8ba1)\uff0c\u6211\u4eec\u63d0\u9ad8 $Q\\left(S_t, A_t\\right)$ \u3002<\/li>\n<li>\u5982\u679c $\\delta_t$ \u4e3a\u8d1f\uff08\u5b9e\u9645\u83b7\u5f97\u7684\u5956\u52b1\u52a0\u4e0a\u5bf9\u672a\u6765\u5956\u52b1\u7684\u4f30\u8ba1\u4f4e\u4e8e\u5f53\u524d $\\mathrm{Q}$ \u503c\u7684\u4f30\u8ba1\uff09\uff0c\u6211\u4eec\u964d\u4f4e $Q\\left(S_t, A_t\\right)$ \u3002<\/li>\n<\/ul>\n<p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0cTD\u5b66\u4e60\u7b97\u6cd5\u80fd\u591f\u4e0d\u65ad\u5730\u8c03\u6574\u5176\u5bf9\u6bcf\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u4ef7\u503c\u7684\u4f30\u8ba1\uff0c\u4ee5\u66f4\u597d\u5730\u9002\u5e94\u548c\u5b66\u4e60\u73af\u5883\u7684\u52a8\u6001\u7279\u6027\u3002<\/p>\n<p><strong>\u6ce8\u610f\uff0c $Q$ \u503c\u7684\u66f4\u65b0\u5e76\u4e0d\u76f4\u63a5\u7b49\u540c\u4e8e\u76d1\u7763\u5b66\u4e60\u4e2d\u7684\u635f\u5931\u51fd\u6570<\/strong>\u3002 <\/p>\n<p>$Q$ \u503c\u7684\u66f4\u65b0\u66f4\u50cf\u662f\u4e00\u79cd\u8fed\u4ee3\u5f0f\u7684\u4ef7\u503c\u4f30\u8ba1\u8fc7\u7a0b\uff0c\u901a\u8fc7\u4e0d\u65ad\u57fa\u4e8eTD\u8bef\u5dee\u7684\u6821\u6b63\uff0c\u4f7f\u5f97\u9884\u6d4b\u7684 $Q$ \u503c\u66f4\u63a5\u8fd1\u4e8e\u771f\u5b9e\uff08\u6216\u6700\u4f18\uff09\u7684 $Q$ \u503c\u3002<\/p>\n<p>\u53ef\u4ee5\u8bf4\uff0c\u5728\u8bad\u7ec3\u7684\u6bcf\u4e2a\u6b65\u9aa4\u4e2d\uff0cTD\u66f4\u65b0\u7684\u76ee\u6807 $Q$ \u503c\u5145\u5f53\u4e86\u7c7b\u4f3c\u4e8e\u76d1\u7763\u5b66\u4e60\u4e2d\u771f\u5b9e\u6807\u7b7e\u7684\u89d2\u8272\uff0c<\/p>\n<p><strong>\u4f46\u8fd9\u4e2a\u201c\u6807\u7b7e\u201d\u672c\u8eab\u4e5f\u662f\u5728\u4e0d\u65ad\u5b66\u4e60\u548c\u8c03\u6574\u4e2d\u7684\uff0c\u6ca1\u6709\u50cf\u76d1\u7763\u5b66\u4e60\u4e2d\u90a3\u6837\u56fa\u5b9a\u4e0d\u53d8\u7684\u201c\u771f\u5b9e\u6807\u7b7e\u201d\u3002<\/strong><\/p>\n<h3>\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc<\/h3>\n<ul>\n<li>\n<p>\u5982\u4f55\u8bad\u7ec3\u8fd9\u4e2a\u795e\u7ecf\u7f51\u7edc\u6765\u9884\u6d4bQ\u503c\uff1f<\/p>\n<ol>\n<li>\n<p>\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\u7684\u9996\u8981\u6b65\u9aa4\u662f\u6570\u636e\u6536\u96c6\u3002<\/p>\n<\/li>\n<li>\n<p>\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u6570\u636e\u901a\u5e38\u7531\u667a\u80fd\u4f53\u5728\u4e0e\u73af\u5883\u4ea4\u4e92\u8fc7\u7a0b\u4e2d\u6240\u83b7\u5f97\u7684\u72b6\u6001\u3001\u52a8\u4f5c\u3001\u5956\u52b1\u548c\u4e0b\u4e00\u4e2a\u72b6\u6001\u7ec4\u6210\u3002<\/p>\n<\/li>\n<li>\n<p>\u8fd9\u4e9b\u6570\u636e\u88ab\u5b58\u50a8\u5728\u7ecf\u9a8c\u56de\u653e\u7f13\u51b2\u533a\u5185\uff0c\u4ee5\u4f9b\u540e\u7eed\u8bad\u7ec3\u4f7f\u7528\u3002<\/p>\n<\/li>\n<li>\n<p>\u63a5\u4e0b\u6765\u8fdb\u884c\u62bd\u6837\uff0c\u795e\u7ecf\u7f51\u7edc\u7684\u8bad\u7ec3\u6d89\u53ca\u4ece\u7ecf\u9a8c\u56de\u653e\u7f13\u51b2\u533a\u4e2d\u968f\u673a\u62bd\u53d6\u4e00\u6279\u6837\u672c\u3002\u8fd9\u6837\u505a\u6709\u52a9\u4e8e\u51cf\u5c11\u6837\u672c\u6570\u636e\u95f4\u7684\u76f8\u5173\u6027\uff0c\u8fdb\u800c\u964d\u4f4e\u8bad\u7ec3\u8fc7\u7a0b\u7684\u65b9\u5dee\u3002<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u4e8e\u6bcf\u4e2a\u62bd\u6837\u51fa\u7684\u6837\u672c\uff0c\u6211\u4eec\u6839\u636eTD\u76ee\u6807\u548c\u7f51\u7edc\u7684\u5f53\u524d\u9884\u6d4b\u8ba1\u7b97\u635f\u5931\u3002\u5176\u76ee\u7684\u662f\u6700\u5c0f\u5316\u9884\u6d4bQ\u503c\u548cTD\u76ee\u6807\u4e4b\u95f4\u7684\u5dee\u8ddd\uff0c\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p>$$<br \/>\n\\operatorname{LossMSE}=\\frac{1}{N} \\sum_{i=1}^N\\left(y_i-Q\\left(s_i, a_i ; \\theta\\right)\\right)^2<br \/>\n$$<\/p>\n<p>\u5176\u4e2d:<\/p>\n<ul>\n<li>$-N$ \u662f\u6837\u672c\u6570\u91cf\u3002<\/li>\n<li>$-y_i$ \u662f\u7b2c $i$ \u4e2a\u6837\u672c\u7684TD\u76ee\u6807\u503c\uff0c\u6839\u636e\u8d1d\u5c14\u66fc\u65b9\u7a0b\u8ba1\u7b97\u5f97\u51fa\u3002<\/li>\n<li>$-Q\\left(s_i, a_i ; \\theta\\right)$ \u662f\u795e\u7ecf\u7f51\u7edc\u5173\u4e8e\u5f53\u524d\u53c2\u6570 $\\theta$ \u4e0b\uff0c\u72b6\u6001 $s_i$ \u548c\u52a8\u4f5c $a_i$ \u7684\u9884\u6d4b $\\mathrm{Q}$ \u503c\u3002<\/li>\n<\/ul>\n<p>\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u901a\u8fc7\u68af\u5ea6\u4e0b\u964d\u65b9\u6cd5\u6700\u5c0f\u5316MSE\uff0c\u4ee5\u6b64\u8c03\u6574\u7f51\u7edc\u53c2\u6570 $\\theta$ \uff0c\u4f7f\u5f97\u9884\u6d4b\u7684 $\\mathrm{Q}$ \u503c $Q(s, a ; \\theta)$ \u63a5\u8fd1TD \u76ee\u6807 $y$ \uff0c\u5373\u51cf\u5c11\u795e\u7ecf\u7f51\u7edc\u8f93\u51fa\u4e0e\u671f\u671b\u8f93\u51fa\u4e4b\u95f4\u7684\u8bef\u5dee\u3002<\/p>\n<p>\u6574\u4e2a\u8bad\u7ec3\u8fc7\u7a0b\u662f\u4e00\u4e2a\u6301\u7eed\u7684\u8fed\u4ee3\u8fc7\u7a0b\uff0c\u76f4\u81f3\u8fbe\u5230\u65e2\u5b9a\u7684\u6027\u80fd\u6807\u51c6\u6216\u5b8c\u6210\u9884\u6ca1\u7684\u8bad\u7ec3\u5468\u671f\u3002<\/p>\n<p>\u5728\u6b64\u8fc7\u7a0b\u4e2d\uff0c\u5e94\u6ce8\u610f\u4fdd\u6301\u63a2\u7d22\u4e0e\u5229\u7528\u4e4b\u95f4\u7684\u5e73\u8861\u3002\u667a\u80fd\u4f53\u4e0d\u4ec5\u8981\u5229\u7528\u73b0\u6709\u7b56\u7565\u6765\u6700\u5927\u5316\u5373\u65f6\u5956\u52b1\uff0c\u8fd8\u5e94\u4e0d\u65ad\u63a2\u7d22\u65b0\u7684\u7b56\u7565\uff0c\u4ee5\u53d1\u73b0\u53ef\u80fd\u83b7\u5f97\u66f4\u9ad8\u957f\u671f\u56de\u62a5\u7684\u884c\u4e3a\u6a21\u5f0f\u3002<\/p>\n<h3>\u8bc4\u4f30\u7f51\u7edc\u4e0e\u76ee\u6807\u7f51\u7edc<\/h3>\n<ul>\n<li>$R_{t+1}+\\gamma \\max _{a^{\\prime}} Q\\left(S_{t+1}, a^{\\prime}\\right)$  \u662fTD\u76ee\u6807<\/li>\n<li>\u5728DQN\u4e2d\uff0c\u795e\u7ecf\u7f51\u7edc\u88ab\u7528\u6765\u903c\u8fd1 $\\mathrm{Q}$ \u51fd\u6570\u3002\u7f51\u7edc\u7684\u8f93\u5165\u662f\u72b6\u6001\uff08\u4ee5\u53ca\u53ef\u80fd\u7684\u52a8\u4f5c\uff09\uff0c\u8f93\u51fa\u662f\u8be5\u72b6\u6001\uff08\u548c\u52a8\u4f5c\uff09\u7684 $\\mathrm{Q}$ \u503c\u4f30\u8ba1\u3002<\/li>\n<li>\u56e0\u6b64\uff0c\u5728\u4efb\u610f\u65f6\u523b\uff0c\u4e0b\u4e00\u72b6\u6001\u7684\u4ef7\u503c$Q\\left(S_{t+1}, a^{\\prime}\\right)$ \u5b9e\u9645\u4e0a\u662f\u7531\u795e\u7ecf\u7f51\u7edc\u57fa\u4e8e\u5176\u5f53\u524d\u7684\u53c2\u6570\u4f30\u8ba1\u5f97\u51fa\u7684\u3002<\/li>\n<li><strong>\u8fd9\u662f\u4e00\u79cd\u81ea\u4e3e\u7684\u65b9\u5f0f<\/strong>\uff0c\u5355\u4e2a\u7f51\u7edc\u540c\u65f6\u8fdb\u884c $Q$ \u503c\u7684\u4f30\u8ba1\u548cTD\u76ee\u6807\u7684\u8ba1\u7b97\uff0c\u4f1a\u5bfc\u81f4\u4e00\u79cd\u201c\u8ffd\u9010\u81ea\u5df1\u5c3e\u5df4\u201d\u7684\u60c5\u51b5\uff0c\u5176\u4e2d $Q$ \u503c\u7684\u66f4\u65b0\u53ef\u80fd\u8fc7\u4e8e\u9891\u7e41\u548c\u5267\u70c8\u3002<\/li>\n<li>\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7f51\u7edc\u8bd5\u56fe\u5728\u4e00\u4e2a\u8fde\u7eed\u53d8\u5316\u7684\u76ee\u6807\u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c<strong>\u5f88\u96be\u6536\u655b<\/strong>\uff0c\u5bb9\u6613\u9020\u6210\u8bad\u7ec3\u8fc7\u7a0b\u7684\u4e0d\u7a33\u5b9a\u6027\u548c\u632f\u8361\u3002<\/li>\n<li>\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u5728DQN (Deep Q-Networks) \u53ca\u5176\u53d8\u4f53\u4e2d\uff0c\u4e00\u822c\u4f7f\u7528\u4e24\u79cd\u795e\u7ecf\u7f51\u7edc\u4e00\u4e00\u8bc4\u4f30\u7f51\u7edc\u548c\u76ee\u6807\u7f51\u7edc\u3002<\/li>\n<\/ul>\n<p>\u8bc4\u4f30\u7f51\u7edc\uff08\u4e5f\u79f0\u4e3a\u7b56\u7565\u7f51\u7edc\uff09\u7528\u4e8e\u5b9e\u65f6\u4f30\u8ba1\u503c\u51fd\u6570\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8fd9\u4e2a\u7f51\u7edc\u8d1f\u8d23\u6839\u636e\u5f53\u524d\u72b6\u6001\u548c\u52a8\u4f5c\uff0c\u9884\u6d4bQ\u503c\u3002\u5728\u5b66\u4e60\u8fc7\u7a0b\u4e2d\uff0c\u6b64\u7f51\u7edc\u7684\u53c2\u6570\u4e0d\u65ad\u66f4\u65b0\u4ee5\u53cd\u6620\u6700\u65b0\u5b66\u4e60\u7684\u7ed3\u679c\u3002<\/p>\n<p>\u76ee\u6807\u7f51\u7edc\u5728\u7ed3\u6784\u4e0a\u4e0e\u8bc4\u4f30\u7f51\u7edc\u76f8\u540c\uff0c\u4f46\u5176\u53c2\u6570\u66f4\u65b0\u9891\u7387\u8f83\u4f4e\u3002\u76ee\u6807\u7f51\u7edc\u7684\u4e3b\u8981\u4f5c\u7528\u662f\u5728\u8ba1\u7b97TD\u76ee\u6807\uff08Temporal-Difference Target\uff09\u65f6\u63d0\u4f9b\u4e00\u4e2a\u76f8\u5bf9\u7a33\u5b9a\u7684Q\u503c\u4f30\u8ba1\u3002\u8fd9\u4e2aTD\u76ee\u6807\u901a\u5e38\u7528\u4e8e\u8ba1\u7b97\u635f\u5931\u51fd\u6570\u548c\u8fdb\u884c\u68af\u5ea6\u4e0b\u964d\u3002<\/p>\n<p><strong>\u7531\u4e8e\u76ee\u6807\u7f51\u7edc\u7684\u66f4\u65b0\u6ede\u540e\u4e8e\u8bc4\u4f30\u7f51\u7edc\uff0c\u5b83\u53ef\u4ee5\u4e3a\u5b66\u4e60\u8fc7\u7a0b\u63d0\u4f9b\u4e00\u4e2a\u8f83\u4e3a\u7a33\u5b9a\u7684\u5b66\u4e60\u76ee\u6807<\/strong>\u3002\u8fd9\u6709\u52a9\u4e8e\u51cf\u5c11\u6bcf\u6b21\u66f4\u65b0\u6240\u5e26\u6765\u7684\u65b9\u5dee\uff0c\u4ece\u800c\u4f7f\u8bad\u7ec3\u8fc7\u7a0b\u66f4\u52a0\u5e73\u6ed1\u3002\u800c\u4e14\uff0c\u5206\u79bb\u7684\u76ee\u6807\u7f51\u7edc\u53ef\u4ee5\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u9632\u6b62\u8fc7\u62df\u5408\u3002\u56e0\u4e3a\u76ee\u6807\u7f51\u7edc\u4e0d\u4f1a\u7acb\u5373\u53cd\u6620\u51fa\u6700\u65b0\u7684\u5b66\u4e60\u6210\u679c\uff0c\u4ece\u800c\u907f\u514d\u4e86\u8bc4\u4f30\u7f51\u7edc\u53ef\u80fd\u56e0\u8fc7\u5ea6\u9002\u5e94\u6700\u8fd1\u7684\u7ecf\u9a8c\u800c\u5ffd\u7565\u4e86\u957f\u671f\u7684\u7b56\u7565\u3002<\/p>\n<p>\u6ce8\u610f\uff0c\u76ee\u6807\u7f51\u7edc\u7684\u53c2\u6570\u4e0d\u662f\u6bcf\u6b21\u8fed\u4ee3\u90fd\u66f4\u65b0\u3002\u901a\u5e38\uff0c\u5b83\u7684\u53c2\u6570\u4f1a\u5728\u56fa\u5b9a\u7684\u65f6\u95f4\u6b65\u6216\u8005\u56fa\u5b9a\u7684\u8bad\u7ec3\u5468\u671f\u540e\u4ece\u8bc4\u4f30\u7f51\u7edc\u590d\u5236\u8fc7\u6765\u3002\u8fd9\u4e2a\u66f4\u65b0\u95f4\u9694\u662f\u4e00\u4e2a\u8d85\u53c2\u6570\uff0c\u9700\u8981\u6839\u636e\u5177\u4f53\u7684\u5e94\u7528\u573a\u666f\u548c\u4efb\u52a1\u6765\u8c03\u6574\u3002<\/p>\n<h3>\u63a2\u7d22\uff08exploration\uff09\u548c\u5229\u7528\uff08exploitation\uff09<\/h3>\n<p>Epsilon-greedy\u7b56\u7565\u662f\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u4e00\u79cd\u57fa\u672c\u7b56\u7565\uff0c\u7528\u4e8e\u5e73\u8861\u63a2\u7d22\u548c\u5229\u7528\u3002\u5176\u57fa\u672c\u539f\u7406\u662f\uff1a<\/p>\n<ul>\n<li>\u4ee5\u6982\u7387epsilon\u9009\u62e9\u4e00\u4e2a\u968f\u673a\u52a8\u4f5c\uff08\u63a2\u7d22\uff09\u3002<\/li>\n<li>\u4ee5\u6982\u73871-epsilon\u9009\u62e9\u5f53\u524d\u6700\u4f18\u52a8\u4f5c\uff08\u5229\u7528\uff09\u3002<\/li>\n<\/ul>\n<p>\u901a\u8fc7\u8c03\u6574epsilon\u503c\uff0c\u53ef\u4ee5\u63a7\u5236\u667a\u80fd\u4f53\u7684\u63a2\u7d22\u548c\u5229\u7528\u884c\u4e3a\uff1a<\/p>\n<ul>\n<li>\u5728\u8bad\u7ec3\u521d\u671f\uff0cepsilon\u503c\u8f83\u9ad8\uff0c\u667a\u80fd\u4f53\u66f4\u591a\u5730\u8fdb\u884c\u63a2\u7d22\uff0c\u5c1d\u8bd5\u4e0d\u540c\u7684\u52a8\u4f5c\u3002<\/li>\n<li>\u5728\u8bad\u7ec3\u540e\u671f\uff0cepsilon\u503c\u8f83\u4f4e\uff0c\u667a\u80fd\u4f53\u66f4\u591a\u5730\u5229\u7528\u5df2\u7ecf\u5b66\u5230\u7684\u77e5\u8bc6\uff0c\u9009\u62e9\u6700\u4f18\u52a8\u4f5c\u3002<\/li>\n<\/ul>\n<p><strong>\u6307\u6570\u8870\u51cf<\/strong><\/p>\n<p>\u91c7\u7528\u6307\u6570\u8870\u51cf\u66f4\u65b0epsilon\u503c\uff0c\u4f7f\u5f97epsilon\u503c\u4ece\u521d\u59cb\u503c\u9010\u6e10\u51cf\u5c0f\u5230\u6700\u7ec8\u503c\u3002\u8fd9\u79cd\u65b9\u5f0f\u53ef\u4ee5\u5e73\u6ed1\u5730\u8fc7\u6e21\u667a\u80fd\u4f53\u7684\u884c\u4e3a\uff1a<\/p>\n<ul>\n<li>\u5728\u8bad\u7ec3\u521d\u671f\uff0c\u667a\u80fd\u4f53\u4e3b\u8981\u8fdb\u884c\u63a2\u7d22\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u4e86\u89e3\u73af\u5883\u3002<\/li>\n<li>\u968f\u7740\u8bad\u7ec3\u7684\u8fdb\u884c\uff0c\u667a\u80fd\u4f53\u9010\u6e10\u51cf\u5c11\u63a2\u7d22\uff0c\u66f4\u591a\u5730\u5229\u7528\u5df2\u5b66\u5f97\u7684\u77e5\u8bc6\u8fdb\u884c\u51b3\u7b56\u3002<\/li>\n<\/ul>\n<pre><code class=\"language-python\">import matplotlib.pyplot as plt\nimport numpy as np\n\n# \u53c2\u6570\u5b9a\u4e49\nepsilon_start = 1.0\nepsilon_end = 0.01\nepsilon_decay = 500\nsample_count = np.arange(0, 2000)  # 2000\u6b65\u91c7\u6837\u6b21\u6570\n\n# \u8ba1\u7b97\u6bcf\u4e2a\u91c7\u6837\u70b9\u7684epsilon\u503c\nepsilon_values = epsilon_end + (epsilon_start - epsilon_end) * np.exp(-1. * sample_count \/ epsilon_decay)\n\n# \u7ed8\u5236epsilon\u503c\u7684\u53d8\u5316\u66f2\u7ebf\nplt.plot(sample_count, epsilon_values)\nplt.xlabel(&#039;Sample Count&#039;)\nplt.ylabel(&#039;Epsilon Value&#039;)\nplt.title(&#039;Epsilon Decay Over Time&#039;)\nplt.grid(True)\nplt.show()\n<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926171139868.png\" style=\"height:400px\">\n<\/p>\n<p>\u8fd9\u79cd\u52a8\u6001\u8c03\u6574\u63a2\u7d22\u548c\u5229\u7528\u7684\u7b56\u7565\u6709\u52a9\u4e8e\u667a\u80fd\u4f53\u5728\u65e9\u671f\u5145\u5206\u63a2\u7d22\u73af\u5883\uff0c\u540e\u671f\u5145\u5206\u5229\u7528\u5b66\u5230\u7684\u7b56\u7565\uff0c\u63d0\u9ad8\u8bad\u7ec3\u6548\u679c\u548c\u6548\u7387\u3002<\/p>\n<h3><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=44838&format=png&color=000000\" style=\"height:50px;display:inline\"> GYM\u5e93<\/h3>\n<hr \/>\n<ul>\n<li>\n<p>Gym \u662f\u4e00\u4e2a\u7528\u4e8e\u5f00\u53d1\u548c\u6bd4\u8f83\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u7684\u5f00\u6e90\u5de5\u5177\u5305\uff0c\u7531 OpenAI \u63d0\u4f9b\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b83\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u6807\u51c6\u5316\u7684\u73af\u5883\uff0c\u8fd9\u4e9b\u73af\u5883\u6db5\u76d6\u4e86\u591a\u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u95ee\u9898\uff0c\u65b9\u4fbf\u7814\u7a76\u4eba\u5458\u548c\u5f00\u53d1\u8005\u8fdb\u884c\u7b97\u6cd5\u5f00\u53d1\u3001\u6d4b\u8bd5\u548c\u6bd4\u8f83\u3002<\/p>\n<\/li>\n<li>\n<p>Gym \u5e93\u4e0d\u4ec5\u652f\u6301\u7ecf\u5178\u7684\u63a7\u5236\u548c\u535a\u5f08\u95ee\u9898\uff0c\u8fd8\u652f\u6301\u4e00\u4e9b\u590d\u6742\u7684\u4efb\u52a1\u3002\u4f8b\u5982\uff1a<\/p>\n<ul>\n<li>CartPole-v1: \u7ecf\u5178\u7684\u5e73\u8861\u6746\u95ee\u9898\u3002<\/li>\n<li>MountainCar-v0: \u4e00\u4e2a\u5c0f\u8f66\u9700\u8981\u722c\u4e0a\u5c71\u9876\u3002<\/li>\n<li>Acrobot-v1: \u4e00\u4e2a\u4e24\u8fde\u6746\u673a\u5668\u4eba\u9700\u8981\u901a\u8fc7\u6446\u52a8\u8fbe\u5230\u7279\u5b9a\u9ad8\u5ea6\u3002<\/li>\n<li>Pong-v0: \u4e52\u4e53\u7403\u6e38\u620f\u3002<\/li>\n<li>Breakout-v0: \u6253\u7816\u5757\u6e38\u620f\u3002<\/li>\n<li>SpaceInvaders-v0: \u592a\u7a7a\u4fb5\u7565\u8005\u6e38\u620f\u3002<\/li>\n<li>LunarLander-v2: \u6708\u7403\u7740\u9646\u5668\u3002<\/li>\n<li>BipedalWalker-v2: \u4e24\u8db3\u673a\u5668\u4eba\u884c\u8d70\u3002<\/li>\n<li>Humanoid-v2: \u6a21\u62df\u4eba\u5f62\u673a\u5668\u4eba\u3002<\/li>\n<li>Ant-v2: \u56db\u8db3\u673a\u5668\u4eba\u3002<\/li>\n<li>FetchReach-v1: Fetch \u673a\u5668\u4eba\u63a7\u5236\u4efb\u52a1\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Gym\u5e93\u7684\u8be6\u7ec6\u6587\u6863\u548c\u73af\u5883\u5217\u8868\u53ef\u4ee5\u5728\u5176\u5b98\u65b9\u7f51\u7ad9\u4e0a\u627e\u5230\uff1a<a href=\"https:\/\/www.gymlibrary.dev\/\">Gym Documentation<\/a><\/p>\n<p><strong>Humanoid\u793a\u4f8b\u5982\u4e0b\uff1a<\/strong><\/p>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926171232160.gif\" style=\"height:400px\">\n<\/p>\n<p><strong>cart_pole\u793a\u4f8b\u5982\u4e0b\uff1a<\/strong><\/p>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926171256629.gif\" style=\"height:400px\">\n<\/p>\n<p>\u672c\u9879\u76ee\u4e5f\u662f\u5728\u6b64\u6e38\u620f\u73af\u5883\u4e0b\u8fdb\u884c\u7684\u4ee3\u7801\u793a\u4f8b\u3002<\/p>\n<h3><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=48250&format=png&color=000000\" style=\"height:50px;display:inline\"> \u793a\u4f8b\u4ee3\u7801\uff1a\u57fa\u4e8e\u4ef7\u503c\u7684\u5f3a\u5316\u5b66\u4e60<\/h3>\n<hr \/>\n<pre><code class=\"language-python\">import torch  \nimport torch.nn as nn  \nimport torch.optim as optim  \nimport torch.nn.functional as F  \nimport numpy as np  \nimport random   \nimport math   \nimport gym\n\n# \u5b9a\u4e49\u91cd\u653e\u7f13\u51b2\u533a\u7c7b\uff0c\u7528\u4e8e\u5b58\u50a8\u7ecf\u9a8c\nclass ReplayBuffer:\n    # \u521d\u59cb\u5316\u65b9\u6cd5\uff0c\u5b9a\u4e49\u7f13\u51b2\u533a\u5bb9\u91cf\u548c\u4f4d\u7f6e\n    def __init__(self, capacity):\n        self.buffer = []   \n        self.capacity = capacity  \n        self.position = 0  \n\n    # \u5411\u7f13\u51b2\u533a\u6dfb\u52a0\u7ecf\u9a8c\n    def push(self, transition):\n        if len(self.buffer) &lt; self.capacity:  \n            self.buffer.append(None)  \n        self.buffer[self.position] = transition   \n        self.position = (self.position + 1) % self.capacity  \n\n    # \u4ece\u7f13\u51b2\u533a\u968f\u673a\u91c7\u6837\u4e00\u4e2a\u6279\u6b21\u7684\u7ecf\u9a8c\n    def sample(self, batch_size):\n        batch = random.sample(self.buffer, batch_size)    \n        state, action, reward, next_state, done = map(np.stack, zip(*batch))\n        return state, action, reward, next_state, done\n\n    # \u8fd4\u56de\u7f13\u51b2\u533a\u7684\u5f53\u524d\u5927\u5c0f\n    def __len__(self):\n        return len(self.buffer)\n\n# \u5b9a\u4e49\u7b56\u7565\u7f51\u7edc\u7c7b\nclass PolicyNetwork(nn.Module):\n\n    def __init__(self, n_states, n_actions):\n        super(PolicyNetwork, self).__init__()\n        self.fc1 = nn.Linear(n_states, 128)  \n        self.fc2 = nn.Linear(128, n_actions)  \n\n    def forward(self, x):\n        x = F.relu(self.fc1(x))   \n        x = self.fc2(x)  \n        return x   \n\n# \u5b9a\u4e49\u6df1\u5ea6Q\u7f51\u7edc\u7c7b\nclass DQN:\n    # \u521d\u59cb\u5316\u65b9\u6cd5\uff0c\u5b9a\u4e49\u76f8\u5173\u53c2\u6570\u548c\u7f51\u7edc\n    def __init__(self, model, memory, cfg):\n        self.n_actions = cfg[&#039;n_actions&#039;]  # \u52a8\u4f5c\u6570\u91cf\n        self.device = torch.device(cfg[&#039;device&#039;])  # \u8bbe\u5907\uff08CPU\u6216GPU\uff09\n        self.gamma = cfg[&#039;gamma&#039;]  # \u6298\u6263\u56e0\u5b50\n        self.sample_count = 0  # \u91c7\u6837\u8ba1\u6570\n        self.epsilon = cfg[&#039;epsilon_start&#039;]  # \u521d\u59cbepsilon\u503c\n        self.epsilon_start = cfg[&#039;epsilon_start&#039;]  # epsilon\u521d\u59cb\u503c\n        self.epsilon_end = cfg[&#039;epsilon_end&#039;]  # epsilon\u6700\u7ec8\u503c\n        self.epsilon_decay = cfg[&#039;epsilon_decay&#039;]  # epsilon\u8870\u51cf\u7387\n        self.batch_size = cfg[&#039;batch_size&#039;]  # \u6279\u91cf\u5927\u5c0f\n        self.policy_net = model.to(self.device)  # \u7b56\u7565\u7f51\u7edc\n        self.target_net = model.to(self.device)  # \u76ee\u6807\u7f51\u7edc\n        # \u521d\u59cb\u5316\u76ee\u6807\u7f51\u7edc\u6743\u91cd\u4e0e\u7b56\u7565\u7f51\u7edc\u76f8\u540c\n        for target_param, param in zip(self.target_net.parameters(), self.policy_net.parameters()): \n            target_param.data.copy_(param.data)\n        self.optimizer = optim.Adam(self.policy_net.parameters(), lr=cfg[&#039;lr&#039;])  # \u4f18\u5316\u5668\n        self.memory = memory  # \u91cd\u653e\u7f13\u51b2\u533a\n\n    # \u91c7\u6837\u52a8\u4f5c\u65b9\u6cd5\uff0c\u57fa\u4e8eepsilon-greedy\u7b56\u7565\n    def sample_action(self, state):\n        self.sample_count += 1  # \u589e\u52a0\u91c7\u6837\u8ba1\u6570\n        # \u66f4\u65b0epsilon\u503c\uff0c\u91c7\u7528\u6307\u6570\u8870\u51cf\n        self.epsilon = self.epsilon_end + (self.epsilon_start - self.epsilon_end) * \\\n            math.exp(-1. * self.sample_count \/ self.epsilon_decay) \n        if random.random() &gt; self.epsilon:  # \u9009\u62e9\u8d2a\u5a6a\u7b56\u7565\n            with torch.no_grad():\n                state = torch.tensor(state, device=self.device, dtype=torch.float32).unsqueeze(dim=0)\n                q_values = self.policy_net(state)  # \u8ba1\u7b97Q\u503c\n                action = q_values.max(1)[1].item()  # \u9009\u62e9Q\u503c\u6700\u5927\u7684\u52a8\u4f5c\n        else:  # \u968f\u673a\u9009\u62e9\u52a8\u4f5c\n            action = random.randrange(self.n_actions)\n        return action  # \u8fd4\u56de\u52a8\u4f5c\n\n    # \u9884\u6d4b\u52a8\u4f5c\u65b9\u6cd5\uff0c\u7528\u4e8e\u6d4b\u8bd5\u9636\u6bb5\n    @torch.no_grad()\n    def predict_action(self, state):\n        state = torch.tensor(state, device=self.device, dtype=torch.float32).unsqueeze(dim=0)\n        q_values = self.policy_net(state)  # \u8ba1\u7b97Q\u503c\n        action = q_values.max(1)[1].item()  # \u9009\u62e9Q\u503c\u6700\u5927\u7684\u52a8\u4f5c\n        return action  # \u8fd4\u56de\u52a8\u4f5c\n\n    # \u66f4\u65b0\u7f51\u7edc\u65b9\u6cd5\n    def update(self):\n        if len(self.memory) &lt; self.batch_size:  # \u5982\u679c\u7f13\u51b2\u533a\u4e2d\u7684\u7ecf\u9a8c\u4e0d\u8db3\u4e00\u4e2a\u6279\u6b21\n            return\n        # \u4ece\u7f13\u51b2\u533a\u91c7\u6837\u4e00\u4e2a\u6279\u6b21\u7684\u7ecf\u9a8c\n        state_batch, action_batch, reward_batch, next_state_batch, done_batch = self.memory.sample(self.batch_size)\n        # \u8f6c\u6362\u4e3a\u5f20\u91cf\n        state_batch = torch.tensor(np.array(state_batch), device=self.device, dtype=torch.float)\n        action_batch = torch.tensor(action_batch, device=self.device).unsqueeze(1)\n        reward_batch = torch.tensor(reward_batch, device=self.device, dtype=torch.float)\n        next_state_batch = torch.tensor(np.array(next_state_batch), device=self.device, dtype=torch.float)\n        done_batch = torch.tensor(np.float32(done_batch), device=self.device)\n        # \u8ba1\u7b97\u5f53\u524dQ\u503c\n        q_values = self.policy_net(state_batch).gather(dim=1, index=action_batch)\n        # \u8ba1\u7b97\u4e0b\u4e00\u4e2a\u72b6\u6001\u7684Q\u503c\n        next_q_values = self.target_net(next_state_batch).max(1)[0].detach()\n        # \u8ba1\u7b97\u671f\u671bQ\u503c\n        expected_q_values = reward_batch + self.gamma * next_q_values * (1 - done_batch)\n        # \u8ba1\u7b97\u635f\u5931\n        loss = nn.MSELoss()(q_values, expected_q_values.unsqueeze(1))\n        self.optimizer.zero_grad()  # \u6e05\u7a7a\u68af\u5ea6\n        loss.backward()  # \u53cd\u5411\u4f20\u64ad\n        # \u68af\u5ea6\u88c1\u526a\n        for param in self.policy_net.parameters():\n            param.grad.data.clamp_(-1, 1)\n        self.optimizer.step()  # \u66f4\u65b0\u7f51\u7edc\u53c2\u6570\n\n# \u73af\u5883\u548c\u667a\u80fd\u4f53\u914d\u7f6e\u51fd\u6570\ndef env_agent_config(cfg):\n    env = gym.make(cfg[&#039;env_name&#039;])  # \u521b\u5efa\u73af\u5883\n    n_states = env.observation_space.shape[0]  # \u72b6\u6001\u7a7a\u95f4\u7ef4\u5ea6\n    n_actions = env.action_space.n  # \u52a8\u4f5c\u7a7a\u95f4\u7ef4\u5ea6\n    memory = ReplayBuffer(cfg[&#039;memory_capacity&#039;])  # \u521b\u5efa\u91cd\u653e\u7f13\u51b2\u533a\n    agent = DQN(PolicyNetwork(n_states, n_actions), memory, cfg)  # \u521b\u5efaDQN\u667a\u80fd\u4f53\n    return env, agent  # \u8fd4\u56de\u73af\u5883\u548c\u667a\u80fd\u4f53\n\n# \u8bad\u7ec3\u51fd\u6570\ndef train(cfg, env, agent):\n    print(&quot;\u5f00\u59cb\u8bad\u7ec3\uff01&quot;)\n    rewards = []  # \u5b58\u50a8\u6bcf\u56de\u5408\u7684\u5956\u52b1\n    steps = []  # \u5b58\u50a8\u6bcf\u56de\u5408\u7684\u6b65\u6570\n    for i_ep in range(cfg[&#039;train_eps&#039;]):\n        ep_reward = 0  # \u521d\u59cb\u5316\u56de\u5408\u5956\u52b1\n        ep_step = 0  # \u521d\u59cb\u5316\u56de\u5408\u6b65\u6570\n        state, _ = env.reset()  # \u91cd\u7f6e\u73af\u5883\uff0c\u83b7\u53d6\u521d\u59cb\u72b6\u6001\n        for _ in range(cfg[&#039;ep_max_steps&#039;]):\n            ep_step += 1\n            action = agent.sample_action(state)  # \u91c7\u6837\u52a8\u4f5c\n            next_state, reward, done, truncated, info = env.step(action)  # \u6267\u884c\u52a8\u4f5c\n            done = done or truncated\n            agent.memory.push((state, action, reward, next_state, done))  # \u5c06\u7ecf\u9a8c\u5b58\u50a8\u5230\u7f13\u51b2\u533a\n            state = next_state  # \u66f4\u65b0\u72b6\u6001\n            agent.update()  # \u66f4\u65b0\u8bc4\u4f30\u7f51\u7edc\n            ep_reward += reward  # \u7d2f\u52a0\u5956\u52b1\n            if done:  # \u5982\u679c\u56de\u5408\u7ed3\u675f\n                break\n        if (i_ep + 1) % cfg[&#039;target_update&#039;] == 0:  # \u6bcf\u9694\u4e00\u5b9a\u56de\u5408\u66f4\u65b0\u76ee\u6807\u7f51\u7edc\n            agent.target_net.load_state_dict(agent.policy_net.state_dict())\n        steps.append(ep_step)  # \u8bb0\u5f55\u6b65\u6570\n        rewards.append(ep_reward)  # \u8bb0\u5f55\u5956\u52b1\n        if (i_ep + 1) % 10 == 0:\n            print(f&quot;\u56de\u5408\uff1a{i_ep + 1}\/{cfg[&#039;train_eps&#039;]}\uff0c\u5956\u52b1\uff1a{ep_reward:.2f}\uff0cEpislon\uff1a{agent.epsilon:.3f}&quot;)\n    print(&quot;\u5b8c\u6210\u8bad\u7ec3\uff01&quot;)\n    env.close()  # \u5173\u95ed\u73af\u5883\n    return {&#039;rewards&#039;: rewards}  # \u8fd4\u56de\u5956\u52b1\u8bb0\u5f55\n\n# \u6d4b\u8bd5\u51fd\u6570\ndef test(cfg, env, agent):\n    print(&quot;\u5f00\u59cb\u6d4b\u8bd5\uff01&quot;)\n    rewards = []  # \u5b58\u50a8\u6bcf\u56de\u5408\u7684\u5956\u52b1\n    steps = []  # \u5b58\u50a8\u6bcf\u56de\u5408\u7684\u6b65\u6570\n    for i_ep in range(cfg[&#039;test_eps&#039;]):\n        ep_reward = 0  # \u521d\u59cb\u5316\u56de\u5408\u5956\u52b1\n        ep_step = 0  # \u521d\u59cb\u5316\u56de\u5408\u6b65\u6570\n        state, _ = env.reset()  # \u91cd\u7f6e\u73af\u5883\uff0c\u83b7\u53d6\u521d\u59cb\u72b6\u6001\n        done = False  # \u521d\u59cb\u5316\u7ed3\u675f\u6807\u5fd7\n        while not done and ep_step &lt; cfg[&#039;ep_max_steps&#039;]:\n            ep_step += 1\n            action = agent.predict_action(state)  # \u9884\u6d4b\u52a8\u4f5c\n            next_state, reward, done, truncated, info = env.step(action)  # \u6267\u884c\u52a8\u4f5c\n            done = done or truncated\n            state = next_state  # \u66f4\u65b0\u72b6\u6001\n            ep_reward += reward  # \u7d2f\u52a0\u5956\u52b1\n            if done:\n                print(f&quot;\u56de\u5408 {i_ep + 1} \u5728\u6b65\u6570 {ep_step} \u5b8c\u6210&quot;)\n        steps.append(ep_step)  # \u8bb0\u5f55\u6b65\u6570\n        rewards.append(ep_reward)  # \u8bb0\u5f55\u5956\u52b1\n        print(f&quot;\u56de\u5408\uff1a{i_ep + 1}\/{cfg[&#039;test_eps&#039;]}\uff0c\u5956\u52b1\uff1a{ep_reward:.2f}&quot;)\n    print(&quot;\u5b8c\u6210\u6d4b\u8bd5&quot;)\n    env.close()  # \u5173\u95ed\u73af\u5883\n    return {&#039;rewards&#039;: rewards}  # \u8fd4\u56de\u5956\u52b1\u8bb0\u5f55\n\n# \u83b7\u53d6\u914d\u7f6e\u53c2\u6570\u51fd\u6570\ndef get_args():\n    return {\n        &#039;env_name&#039;: &#039;CartPole-v1&#039;,  # \u73af\u5883\u540d\u79f0\n        &#039;n_actions&#039;: 2,  # \u52a8\u4f5c\u6570\u91cf\n        &#039;device&#039;: &#039;cpu&#039;,  # \u8bbe\u5907\uff08CPU\uff09\n        &#039;gamma&#039;: 0.99,  # \u6298\u6263\u56e0\u5b50\n        &#039;epsilon_start&#039;: 1.0,  # \u521d\u59cbepsilon\u503c\n        &#039;epsilon_end&#039;: 0.01,  # \u6700\u7ec8epsilon\u503c\n        &#039;epsilon_decay&#039;: 500,  # epsilon\u8870\u51cf\u7387\n        &#039;batch_size&#039;: 64,  # \u6279\u91cf\u5927\u5c0f\n        &#039;lr&#039;: 0.001,  # \u5b66\u4e60\u7387\n        &#039;memory_capacity&#039;: 10000,  # \u7f13\u51b2\u533a\u5bb9\u91cf\n        &#039;train_eps&#039;: 100,  # \u8bad\u7ec3\u56de\u5408\u6570\n        &#039;test_eps&#039;: 100,  # \u6d4b\u8bd5\u56de\u5408\u6570\n        &#039;ep_max_steps&#039;: 200,  # \u6bcf\u56de\u5408\u6700\u5927\u6b65\u6570\n        &#039;target_update&#039;: 10,  # \u76ee\u6807\u7f51\u7edc\u66f4\u65b0\u9891\u7387\n        &#039;seed&#039;: 42  # \u968f\u673a\u79cd\u5b50\n    }\n\n# \u7ed8\u5236\u5956\u52b1\u66f2\u7ebf\u51fd\u6570\ndef plot_rewards(rewards, cfg, tag=&quot;train&quot;):\n    import matplotlib.pyplot as plt\n    plt.plot(rewards)  # \u7ed8\u5236\u5956\u52b1\u66f2\u7ebf\n    plt.title(f&#039;{tag} Rewards&#039;)  # \u8bbe\u7f6e\u6807\u9898\n    plt.show()  # \u663e\u793a\u56fe\u50cf\n\n# \u83b7\u53d6\u53c2\u6570\ncfg = get_args()\n# \u8bad\u7ec3\nenv, agent = env_agent_config(cfg)\nres_dic = train(cfg, env, agent)\n\n# \u7ed8\u5236\u8bad\u7ec3\u5956\u52b1\u66f2\u7ebf\nplot_rewards(res_dic[&#039;rewards&#039;], cfg, tag=&quot;train&quot;)\n\n# \u6d4b\u8bd5\nres_dic = test(cfg, env, agent)\n\n# \u7ed8\u5236\u6d4b\u8bd5\u5956\u52b1\u66f2\u7ebf\nplot_rewards(res_dic[&#039;rewards&#039;], cfg, tag=&quot;test&quot;)\n<\/code><\/pre>\n<pre><code>\u5f00\u59cb\u8bad\u7ec3\uff01\n\u56de\u5408\uff1a10\/100\uff0c\u5956\u52b1\uff1a25.00\uff0cEpislon\uff1a0.698\n\u56de\u5408\uff1a20\/100\uff0c\u5956\u52b1\uff1a16.00\uff0cEpislon\uff1a0.517\n\u56de\u5408\uff1a30\/100\uff0c\u5956\u52b1\uff1a12.00\uff0cEpislon\uff1a0.366\n\u56de\u5408\uff1a40\/100\uff0c\u5956\u52b1\uff1a78.00\uff0cEpislon\uff1a0.130\n\u56de\u5408\uff1a50\/100\uff0c\u5956\u52b1\uff1a64.00\uff0cEpislon\uff1a0.045\n\u56de\u5408\uff1a60\/100\uff0c\u5956\u52b1\uff1a52.00\uff0cEpislon\uff1a0.022\n\u56de\u5408\uff1a70\/100\uff0c\u5956\u52b1\uff1a47.00\uff0cEpislon\uff1a0.014\n\u56de\u5408\uff1a80\/100\uff0c\u5956\u52b1\uff1a44.00\uff0cEpislon\uff1a0.011\n\u56de\u5408\uff1a90\/100\uff0c\u5956\u52b1\uff1a115.00\uff0cEpislon\uff1a0.010\n\u56de\u5408\uff1a100\/100\uff0c\u5956\u52b1\uff1a200.00\uff0cEpislon\uff1a0.010\n\u5b8c\u6210\u8bad\u7ec3\uff01<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926171629841.png\" style=\"height:400px\">\n<\/p>\n<pre><code>\u5f00\u59cb\u6d4b\u8bd5\uff01\n\u56de\u5408\uff1a1\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a2\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a3\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a4\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a5\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a6\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a7\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a8\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a9\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a10\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408 11 \u5728\u6b65\u6570 115 \u5b8c\u6210\n\u56de\u5408\uff1a11\/100\uff0c\u5956\u52b1\uff1a115.00\n\u56de\u5408\uff1a12\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a13\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a14\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a15\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a16\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a17\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a18\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a19\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a20\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a21\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a22\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a23\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a24\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a25\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a26\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a27\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a28\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a29\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a30\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a31\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a32\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a33\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a34\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a35\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a36\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a37\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a38\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a39\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a40\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a41\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a42\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a43\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a44\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a45\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a46\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a47\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a48\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a49\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a50\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a51\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a52\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a53\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a54\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a55\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a56\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a57\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a58\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a59\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a60\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a61\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408 62 \u5728\u6b65\u6570 118 \u5b8c\u6210\n\u56de\u5408\uff1a62\/100\uff0c\u5956\u52b1\uff1a118.00\n\u56de\u5408\uff1a63\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a64\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408 65 \u5728\u6b65\u6570 113 \u5b8c\u6210\n\u56de\u5408\uff1a65\/100\uff0c\u5956\u52b1\uff1a113.00\n\u56de\u5408\uff1a66\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a67\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a68\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a69\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a70\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a71\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a72\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a73\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a74\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a75\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a76\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a77\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a78\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a79\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a80\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a81\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a82\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a83\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a84\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a85\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408 86 \u5728\u6b65\u6570 109 \u5b8c\u6210\n\u56de\u5408\uff1a86\/100\uff0c\u5956\u52b1\uff1a109.00\n\u56de\u5408 87 \u5728\u6b65\u6570 123 \u5b8c\u6210\n\u56de\u5408\uff1a87\/100\uff0c\u5956\u52b1\uff1a123.00\n\u56de\u5408\uff1a88\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a89\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a90\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a91\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a92\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a93\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a94\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a95\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a96\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a97\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a98\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a99\/100\uff0c\u5956\u52b1\uff1a200.00\n\u56de\u5408\uff1a100\/100\uff0c\u5956\u52b1\uff1a200.00\n\u5b8c\u6210\u6d4b\u8bd5<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926171655404.png\" style=\"height:400px\">\n<\/p>\n<h2><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=xaquNfre75yC&format=png&color=000000\" style=\"height:50px;display:inline\"> \u57fa\u4e8e\u7b56\u7565\u7684\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\uff08Policy-based model\uff09<\/h2>\n<hr \/>\n<ul>\n<li>\u60f3\u8c61\u4e00\u4e0b\uff0c\u4f60\u6b63\u5728\u6559\u4e00\u4e2a\u673a\u5668\u4eba\u5b66\u4e60\u5982\u4f55\u8d70\u8def\u3002<\/li>\n<li>\u5728\u57fa\u4e8e\u7b56\u7565\u7684\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e2d\uff0c\u4f60\u76f4\u63a5\u544a\u8bc9\u8fd9\u4e2a\u673a\u5668\u4eba\u5728\u6bcf\u4e00\u6b65\u8be5\u5982\u4f55\u884c\u52a8\u3002\u8fd9\u79cd\u6307\u5bfc\u662f\u901a\u8fc7\u4e00\u4e2a\u6982\u7387\u6a21\u578b\u6765\u5b9e\u73b0\u7684\uff0c\u5373\u7b56\u7565\u51fd\u6570\u3002<\/li>\n<li>\u7b56\u7565\u51fd\u6570\u8003\u8651\u5f53\u524d\u7684\u73af\u5883\uff08\u5373\u673a\u5668\u4eba\u7684\u5f53\u524d\u72b6\u6001\uff09\uff0c\u7136\u540e\u8f93\u51fa\u6bcf\u4e00\u4e2a\u53ef\u80fd\u52a8\u4f5c\u7684\u6982\u7387\u3002\u673a\u5668\u4eba\u6839\u636e\u8fd9\u4e9b\u6982\u7387\u6765\u9009\u62e9\u5176\u52a8\u4f5c\u3002<\/li>\n<li>\u56e0\u6b64\uff0c\u5728\u6bcf\u4e2a\u72b6\u6001\u4e0b\uff0c\u673a\u5668\u4eba\u6709\u4e00\u4e2a\u6e05\u6670\u7684\u6982\u7387\u6307\u5bfc\u5b83\u51b3\u5b9a\u4e0b\u4e00\u6b65\u5982\u4f55\u884c\u52a8\u3002<\/li>\n<li>\u8fd9\u79cd\u65b9\u6cd5\u7684\u5173\u952e\u4f18\u52bf\u662f\u53ef\u4ee5\u5904\u7406\u66f4\u52a0\u590d\u6742\u548c\u591a\u6837\u7684\u52a8\u4f5c\u9009\u62e9\uff0c\u4f8b\u5982\u5728\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u4e2d\u9009\u62e9\u5408\u9002\u7684\u52a8\u4f5c\u529b\u5ea6\u548c\u65b9\u5411\u3002<\/li>\n<\/ul>\n<p>\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5728DQN\u8fd9\u7c7b\u57fa\u4e8e\u503c\u7684\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e2d\uff0c\u6211\u4eec\u4e0d\u662f\u76f4\u63a5\u544a\u8bc9\u673a\u5668\u4eba\u6bcf\u4e00\u6b65\u600e\u4e48\u505a\uff0c\u800c\u662f\u7ed9\u5b83\u4e00\u4e2a<strong>\u8bc4\u5206\u7cfb\u7edf<\/strong>\uff1a\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u53ef\u80fd\u7684\u52a8\u4f5c\uff0cDQN\u8bc4\u4f30\u5176\u5e26\u6765\u7684\u9884\u671f\u56de\u62a5\uff08\u5373Q\u503c\uff09\u3002\u673a\u5668\u4eba\u7684\u4efb\u52a1\u662f\u5728\u6bcf\u4e00\u6b65\u9009\u62e9\u90a3\u4e2a\u9884\u671f\u56de\u62a5\u6700\u9ad8\u7684\u52a8\u4f5c\u3002\u8fd9\u5c31\u597d\u6bd4\u4e0d\u662f\u544a\u8bc9\u673a\u5668\u4eba\u5177\u4f53\u600e\u4e48\u8d70\uff0c\u800c\u662f\u7ed9\u6bcf\u4e00\u6b65\u4e00\u4e2a\u5206\u6570\uff0c\u8ba9\u5b83\u81ea\u5df1\u627e\u51fa\u5f97\u5206\u6700\u9ad8\u7684\u6b65\u9aa4\u3002\u8fd9\u79cd\u65b9\u6cd5\u5728<strong>\u79bb\u6563\u52a8\u4f5c\u7a7a\u95f4<\/strong>\u4e2d\u8868\u73b0\u5f97\u975e\u5e38\u597d\uff0c\u56e0\u4e3a\u53ef\u4ee5\u8f7b\u677e\u6bd4\u8f83\u548c\u9009\u62e9\u6709\u9650\u4e2a\u52a8\u4f5c\u4e2d\u7684\u6700\u4f73\u9009\u9879\u3002<\/p>\n<p>\u73b0\u5728\uff0c\u5982\u679c<strong>\u52a8\u4f5c\u7a7a\u95f4\u53d8\u5f97\u975e\u5e38\u5927\u6216\u8005\u662f\u8fde\u7eed\u7684<\/strong>\uff08\u60f3\u8c61\u8ba9\u673a\u5668\u4eba\u5b66\u4e60\u600e\u6837\u4ee5\u4efb\u610f\u901f\u5ea6\u548c\u65b9\u5411\u8dd1\u6b65\uff09\uff0c\u57fa\u4e8e\u503c\u7684\u65b9\u6cd5\u5c31\u53d8\u5f97\u590d\u6742\u4e14\u6548\u7387\u4e0d\u9ad8\u4e86\u3002\u56e0\u4e3a\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u53ef\u80fd\u7684\u52a8\u4f5c\uff0c\u4f60\u90fd\u9700\u8981\u8ba1\u7b97\u4e00\u4e2a\u9884\u671f\u56de\u62a5\uff0c\u5e76\u4ece\u4e2d\u9009\u62e9\u6700\u4f73\u7684\u3002\u4f46\u5728\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u4e2d\uff0c\u53ef\u80fd\u7684\u52a8\u4f5c\u662f\u65e0\u9650\u7684\uff0c\u8fd9\u4f7f\u5f97\u627e\u51fa\u6700\u4f73\u52a8\u4f5c\u53d8\u5f97\u975e\u5e38\u56f0\u96be\u3002<\/p>\n<p>\u76f8\u53cd\uff0c\u57fa\u4e8e\u7b56\u7565\u7684\u65b9\u6cd5\u5219\u53ef\u4ee5\u66f4\u81ea\u7136\u5730\u5904\u7406\u8fd9\u79cd\u60c5\u51b5\u3002\u56e0\u4e3a\u4f60\u4e0d\u9700\u8981\u4e3a\u6bcf\u4e2a\u53ef\u80fd\u7684\u52a8\u4f5c\u5206\u522b\u8ba1\u7b97\u4e00\u4e2a\u503c\uff0c\u800c\u662f\u76f4\u63a5\u6839\u636e\u5f53\u524d\u72b6\u6001\u751f\u6210\u52a8\u4f5c\u7684\u6982\u7387\u5206\u5e03\u3002\u8fd9\u4f7f\u5f97\u673a\u5668\u4eba\u80fd\u591f\u5728\u8fde\u7eed\u7684\u52a8\u4f5c\u7a7a\u95f4\u4e2d\u5e73\u6ed1\u5730\u9009\u62e9\u52a8\u4f5c\uff0c\u800c\u4e0d\u662f\u5728\u6709\u9650\u7684\u9009\u9879\u4e2d\u505a\u51fa\u9009\u62e9\u3002<\/p>\n<h3>\u7b56\u7565\u68af\u5ea6\u4f18\u5316<\/h3>\n<ul>\n<li>\n<p>\u57fa\u4e8e\u7b56\u7565\u7684\u5f3a\u5316\u5b66\u4e60\u76f4\u63a5\u5bf9\u7b56\u7565\u672c\u8eab\u8fdb\u884c\u4f18\u5316\uff0c\u800c\u4e0d\u662f\u50cf\u5728DQN\u4e2d\u90a3\u6837\u95f4\u63a5\u901a\u8fc7Q\u503c\u6765\u63a8\u5bfc\u7b56\u7565\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b56\u7565\u672c\u8eab\u901a\u5e38\u7531\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u8868\u793a\uff0c\u8f93\u5165\u662f\u72b6\u6001\uff0c\u8f93\u51fa\u662f\u5728\u8fd9\u4e2a\u72b6\u6001\u4e0b\u91c7\u53d6\u6bcf\u4e2a\u53ef\u80fd\u52a8\u4f5c\u7684\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u662f\u901a\u8fc7\u8c03\u6574\u7b56\u7565\u7f51\u7edc\u7684\u53c2\u6570\u6765\u76f4\u63a5\u6700\u5927\u5316\u7d2f\u79ef\u56de\u62a5\u7684\u671f\u671b\u503c\u3002<\/p>\n<\/li>\n<li>\n<p>\u5176\u4e2d\uff0c<strong>REINFORCE \u7b97\u6cd5<\/strong>\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u3002<\/p>\n<\/li>\n<li>\n<p>\u5728REINFORCE\u4e2d\uff0c\u6211\u4eec\u8ba9\u7b56\u7565\u7f51\u7edc\u6307\u5bfc\u52a8\u4f5c\u7684\u9009\u62e9\uff0c\u7136\u540e\u6839\u636e\u5b9e\u9645\u83b7\u5f97\u7684\u56de\u62a5\u6765\u8c03\u6574\u7f51\u7edc\u53c2\u6570\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b80\u77ed\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u52a8\u4f5c\u5bfc\u81f4\u4e86\u6b63\u7684\u56de\u62a5\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u589e\u52a0\u672a\u6765\u9009\u62e9\u8fd9\u4e2a\u52a8\u4f5c\u7684\u6982\u7387\uff1b\u53cd\u4e4b\uff0c\u5982\u679c\u5bfc\u81f4\u4e86\u8d1f\u9762\u7684\u56de\u62a5\uff0c\u90a3\u4e48\u9009\u62e9\u8fd9\u4e2a\u52a8\u4f5c\u7684\u6982\u7387\u5c31\u4f1a\u51cf\u5c11\u3002<\/p>\n<\/li>\n<li>\n<p>\u5177\u4f53\u7684\u7b97\u6cd5\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\n<p><strong>\u521d\u59cb\u5316\u7b56\u7565\u6a21\u578b<\/strong>\uff1a\u7b56\u7565\u901a\u5e38\u7531\u4e00\u4e2a\u53c2\u6570\u5316\u7684\u6a21\u578b\u8868\u793a\uff0c\u6bd4\u5982\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u3002\u8fd9\u4e2a\u7f51\u7edc\u6839\u636e\u8f93\u5165\u7684\u72b6\u6001\u6765\u8f93\u51fa\u6bcf\u4e2a\u53ef\u884c\u52a8\u4f5c\u7684\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u751f\u6210\u4e00\u4e2a\u6216\u591a\u4e2a\u7247\u6bb5<\/strong>\uff1a\u5728\u6bcf\u4e2a\u8fed\u4ee3\u4e2d\uff0c\u4f7f\u7528\u5f53\u524d\u7684\u7b56\u7565\u5728\u73af\u5883\u4e2d\u6267\u884c\u591a\u4e2a\u5b8c\u6574\u7684\u8f68\u8ff9\uff08Trajectory\uff09\uff0c\u76f4\u5230\u8fbe\u5230\u7ec8\u6b62\u72b6\u6001\u3002\u6bcf\u4e2a\u8f68\u8ff9\u662f\u4e00\u4e2a\u72b6\u6001\u3001\u52a8\u4f5c\u548c\u56de\u62a5\u7684\u5e8f\u5217\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u8ba1\u7b97\u56de\u62a5<\/strong>\uff1a\u5bf9\u4e8e\u8f68\u8ff9\u4e2d\u7684\u6bcf\u4e2a\u6b65\u9aa4\uff0c\u8ba1\u7b97\u4ece\u5f53\u524d\u72b6\u6001\u5230\u8f68\u8ff9\u7ed3\u675f\u6240\u83b7\u5f97\u7684\u7d2f\u79ef\u56de\u62a5\u3002\u8fd9\u4e2a\u7d2f\u79ef\u56de\u62a5\u901a\u5e38\u662f\u5bf9\u672a\u6765\u56de\u62a5\u7684\u4e00\u4e2a\u6298\u6263\u7d2f\u8ba1\u548c\uff0c\u5176\u4e2d\u6298\u6263\u56e0\u5b50 \u03b3 \u51b3\u5b9a\u4e86\u672a\u6765\u56de\u62a5\u7684\u6743\u91cd\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u7b56\u7565\u68af\u5ea6\u66f4\u65b0<\/strong>\uff1a\u5bf9\u4e8e\u8f68\u8ff9\u4e2d\u7684\u6bcf\u4e2a\u6b65\u9aa4\uff0c\u8c03\u6574\u7b56\u7565\u6a21\u578b\u7684\u53c2\u6570\uff0c\u4ee5\u589e\u52a0\u5728\u7ed9\u5b9a\u72b6\u6001\u4e0b\u9009\u62e9\u5b9e\u9645\u6267\u884c\u7684\u52a8\u4f5c\u7684\u6982\u7387\u3002\u8fd9\u4e2a\u8c03\u6574\u662f\u6839\u636e\u7b56\u7565\u68af\u5ea6\u8fdb\u884c\u7684\uff0c\u901a\u5e38\u4f7f\u7528\u68af\u5ea6\u4e0a\u5347\u6cd5\u6765\u5b9e\u73b0\u3002\u7b56\u7565\u68af\u5ea6\u7531\u6bcf\u4e2a\u6b65\u9aa4\u7684\u7d2f\u79ef\u56de\u62a5\u548c\u52a8\u4f5c\u6982\u7387\u7684\u68af\u5ea6\u7684\u4e58\u79ef\u7ed9\u51fa\u3002 \u91cd\u590d\u4e0a\u8ff0\u6b65\u9aa4\u76f4\u5230\u7b56\u7565\u6536\u655b\u6216\u8fbe\u5230\u67d0\u4e2a\u6027\u80fd\u6807\u51c6\u3002<\/p>\n<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p>\u7b56\u7565\u68af\u5ea6\u7684\u57fa\u672c\u5f62\u5f0f\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/p>\n<p>$$<br \/>\n\\nabla_\\theta J(\\theta)=\\mathbb{E}\\left[\\sum_{t=0}^T G_t \\cdot \\nabla_\\theta \\log \\pi_\\theta\\left(a_t \\mid s_t\\right)\\right]<br \/>\n$$<\/p>\n<p>\u4ece\u76f4\u89c2\u4e0a\u6211\u4eec\u53ef\u4ee5\u8fd9\u4e9b\u89e3\u91ca\u4e0a\u8ff0\u516c\u5f0f\uff1a<\/p>\n<ul>\n<li><strong>\u671f\u671b\u56de\u62a5<\/strong>: $J(\\theta)$ \u662f\u5728\u7b56\u7565 $\\pi_\\theta$ \u4e0b\u7684\u671f\u671b\u56de\u62a5\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u8c03\u6574 $\\theta$ \u6765\u6700\u5927\u5316 $J(\\theta)$ \u3002<\/li>\n<li><strong>\u68af\u5ea6\u4e0a\u5347<\/strong>: \u7531\u4e8e\u6211\u4eec\u8981\u6700\u5927\u5316 $J(\\theta)$ \uff0c\u6211\u4eec\u9700\u8981\u671d\u7740\u68af\u5ea6 $\\nabla_\\theta J(\\theta)$ \u7684\u65b9\u5411\u8c03\u6574 $\\theta$ \u3002\u8fd9\u610f\u5473\u7740\u5982\u679c\u67d0\u4e2a\u65b9\u5411\u4e0a\u7684\u68af\u5ea6\u4e3a\u6b63\uff0c\u589e\u52a0 $\\theta$ \u5728\u8fd9\u4e2a\u65b9\u5411\u4e0a\u7684\u503c\u4f1a\u589e\u52a0\u671f\u671b\u56de\u62a5\u3002<\/li>\n<li><strong>\u7b56\u7565\u6982\u7387\u7684\u5bf9\u6570<\/strong>: $\\log \\pi_\\theta\\left(a_t \\mid s_t\\right)$ \u662f\u5728\u7ed9\u5b9a\u72b6\u6001 $s_t$ \u4e0b\u9009\u62e9\u52a8\u4f5c $a_t$ \u7684\u7b56\u7565\u6982\u7387\u7684\u81ea\u7136\u5bf9\u6570\u3002\u5bf9\u6570\u8fd0\u7b97\u4f7f\u5f97\u68af\u5ea6\u8ba1\u7b97\u66f4\u4e3a\u7a33\u5b9a\u548c\u9ad8\u6548\u3002<\/li>\n<li><strong>\u68af\u5ea6<\/strong> $\\nabla_\\theta \\log \\pi_\\theta\\left(a_t \\mid s_t\\right)$ : \u8fd9\u90e8\u5206\u8868\u660e\u7b56\u7565\u6982\u7387\u5bf9\u53c2\u6570 $\\theta$ \u7684\u654f\u611f\u7a0b\u5ea6\u3002\u76f4\u89c2\u4e0a\u8bf4\uff0c\u5b83\u544a\u8bc9\u6211\u4eec\uff0c\u5fae\u5c0f\u5730\u8c03\u6574 $\\theta$\u4f1a\u5982\u4f55\u5f71\u54cd\u5728\u72b6\u6001 $s_t$ \u4e0b\u9009\u62e9\u52a8\u4f5c $a_t$ \u7684\u6982\u7387\u3002<\/li>\n<li><strong>\u7d2f\u79ef\u56de\u62a5<\/strong> $G_t$ : \u8fd9\u662f\u4ece\u65f6\u95f4 $t$ \u5230\u8f68\u8ff9\u7ed3\u675f\u7684\u7d2f\u79ef\u6298\u6263\u56de\u62a5\u3002 $G_t$ \u7684\u5f15\u5165\u786e\u4fdd\u4e86\u52a8\u4f5c\u7684\u9009\u62e9\u4e0d\u4ec5\u8003\u8651\u7acb\u5373\u56de\u62a5\uff0c\u800c\u662f\u57fa\u4e8e\u5176\u957f\u671f\u5f71\u54cd\u3002\u901a\u8fc7 $G_t$ \uff0c\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u53ef\u4ee5\u4fc3\u8fdb\u90a3\u4e9b\u53ef\u80fd\u7acb\u5373\u56de\u62a5\u4e0d\u9ad8\uff0c\u4f46\u957f\u671f\u6548\u679c\u597d\u7684\u52a8\u4f5c\u3002<\/li>\n<li><strong>\u671f\u671b<\/strong>: \u5916\u5c42\u7684\u671f\u671b $\\mathbb{E}$ \u8868\u793a\u8fd9\u4e2a\u68af\u5ea6\u662f\u5728\u6240\u6709\u53ef\u80fd\u8f68\u8ff9\u4e0b\u7684\u5e73\u5747\u68af\u5ea6\u3002\u7531\u4e8e\u76f4\u63a5\u8ba1\u7b97\u6574\u4e2a\u671f\u671b\u901a\u5e38\u4e0d\u53ef\u884c\uff0c\u5b9e\u8df5\u4e2d\u5e38\u5e38\u901a\u8fc7\u4ece\u5f53\u524d\u7b56\u7565\u4e2d\u91c7\u6837\u4e00\u4e2a\u6216\u591a\u4e2a\u8f68\u8ff9\u6765\u4f30\u8ba1\u8fd9\u4e2a\u671f\u671b\u3002<\/li>\n<\/ul>\n<h4><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=91CnU00i6HLv&format=png&color=000000\" style=\"height:50px;display:inline\"> \u4e3a\u4ec0\u4e48\u8981\u5c06\u7b56\u7565\u6982\u7387\u5bf9\u6570\u7684\u68af\u5ea6\u4e0e\u7d2f\u79ef\u56de\u62a5\u76f8\u4e58?<\/h4>\n<hr \/>\n<h3>\u5bf9\u6bd4\u68af\u5ea6\u4e0a\u5347\u548c\u65f6\u5e8f\u5dee\u5206<\/h3>\n<p>\u68af\u5ea6\u4e0a\u5347\u548c\u65f6\u5e8f\u5dee\u5206\u5b66\u4e60\uff08TD-Learning\uff09\u662f\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u4e24\u79cd\u4e0d\u540c\u7684\u4f18\u5316\u7b56\u7565\uff0c\u5b83\u4eec\u5404\u6709\u4f18\u52bf\u548c\u5c40\u9650\u6027\u3002\u4e0b\u9762\u5bf9\u8fd9\u4e24\u79cd\u65b9\u6cd5\u8fdb\u884c\u5bf9\u6bd4\uff1a<\/p>\n<p>\u5728\u57fa\u4e8e\u7b56\u7565\u7684\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e2d\u4f7f\u7528\u68af\u5ea6\u4e0a\u5347\u7684\u4f18\u70b9\u4e3b\u8981\u4f53\u73b0\u4e0b\u4ee5\u4e0b\u4e09\u65b9\u9762\uff1a<\/p>\n<ol>\n<li>\n<p>\u76f4\u63a5\u4f18\u5316\u7b56\u7565\uff1a\u68af\u5ea6\u4e0a\u5347\u76f4\u63a5\u5bf9\u7b56\u7565\u8fdb\u884c\u4f18\u5316\uff0c\u4f7f\u5f97\u5b66\u4e60\u8fc7\u7a0b\u66f4\u76f4\u63a5\u548c\u9ad8\u6548\uff0c\u7279\u522b\u662f\u5728\u590d\u6742\u6216\u8fde\u7eed\u7684\u52a8\u4f5c\u7a7a\u95f4\u4e2d\u3002<\/p>\n<\/li>\n<li>\n<p>\u66f4\u597d\u7684\u63a2\u7d22\uff1a\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u901a\u5e38\u80fd\u66f4\u597d\u5730\u63a2\u7d22\u52a8\u4f5c\u7a7a\u95f4\uff0c\u56e0\u4e3a\u5b83\u4eec\u901a\u8fc7\u6982\u7387\u6027\u7b56\u7565\u6765\u9009\u62e9\u52a8\u4f5c\uff0c\u8fd9\u610f\u5473\u7740\u603b\u6709\u4e00\u5b9a\u7684\u6982\u7387\u53bb\u5c1d\u8bd5\u4e0d\u540c\u7684\u52a8\u4f5c\uff0c\u800c\u4e0d\u662f\u4e00\u76f4\u9009\u62e9\u6700\u5927\u7684\u6982\u7387\u52a8\u4f5c\u3002<\/p>\n<\/li>\n<li>\n<p>\u907f\u514d\u5c40\u90e8\u6700\u4f18\uff1a\u7531\u4e8e\u5176\u63a2\u7d22\u7279\u6027\u548c\u76f4\u63a5\u4f18\u5316\u7b56\u7565\u7684\u80fd\u529b\uff0c\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u53ef\u80fd\u66f4\u5bb9\u6613\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\u89e3\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u5728\u57fa\u4e8e\u7b56\u7565\u7684\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5\u4e2d\u4f7f\u7528\u68af\u5ea6\u4e0a\u5347\u7684\u7f3a\u70b9\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\n<p>\u9ad8\u65b9\u5dee\uff1a\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u7279\u522b\u662f\u57fa\u4e8e\u8499\u7279\u5361\u6d1b\u7684\u7b56\u7565\u68af\u5ea6\uff0c\u53ef\u80fd\u4f1a\u53d7\u5230\u8f83\u9ad8\u65b9\u5dee\u7684\u5f71\u54cd\uff0c\u4ece\u800c\u5f71\u54cd\u5b66\u4e60\u7684\u7a33\u5b9a\u6027\u548c\u6536\u655b\u901f\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p>\u6837\u672c\u6548\u7387\u4f4e\uff1a\u8fd9\u4e9b\u65b9\u6cd5\u901a\u5e38\u9700\u8981\u66f4\u591a\u7684\u6837\u672c\u6765\u51c6\u786e\u4f30\u8ba1\u68af\u5ea6\uff0c\u5c24\u5176\u662f\u5728\u590d\u6742\u73af\u5883\u4e2d\u3002<\/p>\n<\/li>\n<li>\n<p>\u8c03\u53c2\u654f\u611f\uff1a\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u5728\u5b9e\u8df5\u4e2d\u53ef\u80fd\u66f4\u4f9d\u8d56\u4e8e\u8c03\u53c2\uff08\u5982\u5b66\u4e60\u7387\u3001\u7b56\u7565\u7f51\u7edc\u7684\u7ed3\u6784\u7b49\uff09\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u5728DQN\u4e2d\u4f7f\u7528\u65f6\u5e8f\u5dee\u5206\u5b66\u4e60\u7684\u4f18\u70b9\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\n<p>\u6837\u672c\u6548\u7387\u9ad8\uff1aTD-Learning\u901a\u8fc7\u4f7f\u7528\u6bcf\u4e2a\u6b65\u9aa4\u7684\u66f4\u65b0\uff0c\u800c\u4e0d\u662f\u7b49\u5f85\u6574\u4e2a\u8f68\u8ff9\u5b8c\u6210\uff0c\u901a\u5e38\u66f4\u52a0\u6837\u672c\u6548\u7387\u9ad8\u3002<\/p>\n<\/li>\n<li>\n<p>\u7a33\u5b9a\u6027\uff1a\u76f8\u6bd4\u4e8e\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u7684\u7b56\u7565\u68af\u5ea6\uff0cTD-Learning\u901a\u5e38\u80fd\u63d0\u4f9b\u66f4\u7a33\u5b9a\u7684\u5b66\u4e60\u66f4\u65b0\uff0c\u56e0\u4e3aQ\u503c\u7684\u66f4\u65b0\u4e0d\u5b8c\u5168\u4f9d\u8d56\u4e8e\u5b9e\u9645\u83b7\u5f97\u7684\u957f\u671f\u56de\u62a5\uff0c\u800c\u662f\u90e8\u5206\u5730\u4f9d\u8d56\u4e8e\u5bf9\u672a\u6765\u4ef7\u503c\u7684\u73b0\u6709\u4f30\u8ba1\uff0c\u52a0\u4e0a\u5f53\u524d\u72b6\u6001\u7684\u89c2\u6d4b\u4ef7\u503c\uff0c\u4ece\u800c\u4f7f\u5b66\u4e60\u66f4\u65b0\u66f4\u52a0\u5e73\u6ed1\u548c\u7a33\u5b9a\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f4e\u65b9\u5dee\uff1a\u65b9\u5dee\u8fd9\u91cc\u6307\u7684\u662f\u4ece\u4e00\u4e2a\u66f4\u65b0\u5230\u4e0b\u4e00\u4e2a\u66f4\u65b0\u4f30\u8ba1\u503c\u53d8\u5316\u7684\u4e0d\u786e\u5b9a\u6027\u3002\u5728\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u4e2d\uff0c\u503c\u51fd\u6570\u7684\u6bcf\u6b21\u66f4\u65b0\u662f\u5b8c\u5168\u57fa\u4e8e\u6574\u4e2a\u8f68\u8ff9\u7684\u5b9e\u9645\u56de\u62a5\uff0c\u8fd9\u5bfc\u81f4\u4e86\u4f30\u8ba1\u7684\u65b9\u5dee\u8f83\u9ad8\uff0c\u5c24\u5176\u662f\u5728\u56de\u62a5\u4fe1\u53f7\u53d8\u5316\u8f83\u5927\u6216\u8f68\u8ff9\u5f88\u957f\u65f6\u3002\u800c\u5728TD-Learning\u4e2d\uff0c\u7531\u4e8e\u6bcf\u6b21\u66f4\u65b0\u90e8\u5206\u57fa\u4e8e\u5f53\u524d\u7684\u503c\u51fd\u6570\u4f30\u8ba1\uff0c\u8fd9\u610f\u5473\u7740\u6bcf\u4e2a\u66f4\u65b0\u66f4\u52a0\u5e73\u7a33\uff0c\u5bf9\u4e8e\u5355\u4e00\u5f02\u5e38\u7684\u72b6\u6001\u8f6c\u6362\u6216\u56de\u62a5\u4e0d\u4f1a\u8fc7\u5ea6\u53cd\u5e94\uff0c\u4ece\u800c\u5bfc\u81f4\u6574\u4f53\u7684\u4f30\u8ba1\u65b9\u5dee\u8f83\u4f4e\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u5728DQN\u4e2d\u4f7f\u7528\u65f6\u5e8f\u5dee\u5206\u5b66\u4e60\u7684\u7f3a\u70b9\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\n<p>\u5728TD-Learning\u4e2d\uff0c\u201d\u53cc\u91cd\u5229\u7528\u201d (double sampling) \u95ee\u9898\u6307\u7684\u662f\u5728\u540c\u4e00\u8fc7\u7a0b\u4e2d\u5bf9\u540c\u4e00\u4e2a\u6837\u672c\u6570\u636e (\u6bd4\u5982\u72b6\u6001\u8f6c\u79fb) \u7684\u91cd\u590d\u4f7f\u7528\u3002\u8fd9\u79cd\u81ea\u5df1\u6293\u81ea\u5df1\u5c3e\u5df4\u7684\u884c\u4e3a\uff0c\u53ef\u80fd\u4f1a\u5bfc\u81f4\u5bf9\u4e8e\u672a\u6765\u56de\u62a5\u7684\u8fc7\u5ea6\u4e50\u89c2\u4f30\u8ba1\uff0c\u8fdb\u800c\u5bfc\u81f4\u5b66\u4e60\u7684\u504f\u5dee\uff0c\u5f53\u7136\uff0c\u5728\u540e\u7eed\u7684DQN\u6539\u8fdb\u7b97\u6cd5\u4e2d\uff0c\u8fd9\u4e2a\u53cc\u91cd\u5229\u7528\u7684\u95ee\u9898\u53ef\u4ee5\u901a\u8fc7\u5212\u5206\u8bc4\u4ef7\u7f51\u7edc\u548c\u76ee\u6807\u7f51\u7edc\u6765\u7f13\u89e3\u3002<\/p>\n<\/li>\n<li>\n<p>\u63a2\u7d22\u95ee\u9898\u6d89\u53ca\u5230\u5f3a\u5316\u5b66\u4e60\u4e2d\u7684\u4e00\u4e2a\u6838\u5fc3\u95ee\u9898\uff1a\u5728\u57fa\u4e8e\u503c\u7684\u65b9\u6cd5\u5982DQN\u4e2d\uff0c\u901a\u5e38\u4f7f\u7528\u8d2a\u5fc3\u7b56\u7565\uff08\u603b\u662f\u9009\u62e9\u5f53\u524d\u4f30\u8ba1\u503c\u6700\u9ad8\u7684\u52a8\u4f5c\uff09\u6216  \u03f5-\u8d2a\u5fc3\u7b56\u7565\uff08\u5927\u90e8\u5206\u65f6\u95f4\u9009\u62e9\u6700\u4f18\u52a8\u4f5c\uff0c\u4f46\u6709\u4e00\u4e2a\u5c0f\u6982\u7387  \u03f5 \u968f\u673a\u9009\u62e9\u5176\u4ed6\u52a8\u4f5c\uff09\u6765\u5e73\u8861\u8fd9\u4e24\u8005\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53ef\u80fd\u4e0d\u591f\u7075\u6d3b\uff0c\u7279\u522b\u662f\u5728\u52a8\u4f5c\u7a7a\u95f4\u5f88\u5927\u6216\u8fde\u7eed\u7684\u73af\u5883\u4e2d\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ef\u80fd\u4f1a\u5ffd\u89c6\u90a3\u4e9b\u77ed\u671f\u5185\u770b\u8d77\u6765\u4e0d\u662f\u6700\u4f18\uff0c\u4f46\u957f\u671f\u6765\u770b\u53ef\u80fd\u66f4\u597d\u7684\u7b56\u7565\u3002 \u76f8\u6bd4\u4e4b\u4e0b\uff0c\u6982\u7387\u6027\u7b56\u7565\uff08\u6bd4\u5982\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u4e2d\u4f7f\u7528\u7684\uff09\u5141\u8bb8\u7b97\u6cd5\u5728\u6bcf\u4e2a\u72b6\u6001\u4e0b\u6839\u636e\u67d0\u79cd\u6982\u7387\u5206\u5e03\u6765\u9009\u62e9\u52a8\u4f5c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53ef\u80fd\u66f4\u80fd\u9f13\u52b1\u7b97\u6cd5\u63a2\u7d22\u4e0d\u540c\u7684\u52a8\u4f5c\uff0c\u5c24\u5176\u662f\u5728\u521d\u671f\u6216\u5f53\u73af\u5883\u53d8\u5316\u65f6\u3002<\/p>\n<\/li>\n<li>\n<p>\u9700\u8981\u503c\u51fd\u6570\u903c\u8fd1\uff1aTD-Learning\u65b9\u6cd5\u901a\u5e38\u4f9d\u8d56\u4e8e\u503c\u51fd\u6570\uff08\u5982Q\u51fd\u6570\uff09\u7684\u4f30\u8ba1\u6765\u6307\u5bfc\u7b56\u7565\u7684\u9009\u62e9\u3002\u5728\u7b80\u5355\u6216\u4f4e\u7ef4\u7684\u72b6\u6001\u7a7a\u95f4\u4e2d\uff0c\u8fd9\u79cd\u4f30\u8ba1\u76f8\u5bf9\u5bb9\u6613\u3002\u7136\u800c\uff0c\u5728\u9ad8\u7ef4\u72b6\u6001\u7a7a\u95f4\u6216\u590d\u6742\u73af\u5883\u4e2d\uff08\u4f8b\u5982\uff0c\u62e5\u6709\u5927\u91cf\u72b6\u6001\u548c\u52a8\u4f5c\u7684\u6e38\u620f\uff09\uff0c\u51c6\u786e\u4f30\u8ba1\u503c\u51fd\u6570\u53d8\u5f97\u975e\u5e38\u5177\u6709\u6311\u6218\u6027\u3002<\/p>\n<\/li>\n<\/ol>\n<h3><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=48250&format=png&color=000000\" style=\"height:50px;display:inline\"> \u793a\u4f8b\u4ee3\u7801\uff1a\u57fa\u4e8e\u7b56\u7565\u7684\u5f3a\u5316\u5b66\u4e60<\/h3>\n<hr \/>\n<ol>\n<li>\u5b9a\u4e49\u7b56\u7565\u7f51\u7edc<br \/>\n\u7b56\u7565\u7f51\u7edc\u8f93\u51fa\u5c42\u4f7f\u7528softmax\u6fc0\u6d3b\u51fd\u6570\u751f\u6210\u52a8\u4f5c\u6982\u7387\u5206\u5e03\u3002<\/li>\n<\/ol>\n<pre><code class=\"language-python\"># \u5b9a\u4e49\u7b56\u7565\u7f51\u7edc\u7c7b\nclass PolicyNetwork(nn.Module):\n    def __init__(self, n_states, n_actions):\n        super(PolicyNetwork, self).__init__()\n        self.fc1 = nn.Linear(n_states, 128)\n        self.fc2 = nn.Linear(128, n_actions)\n\n    def forward(self, x):\n        x = F.relu(self.fc1(x))\n        x = F.softmax(self.fc2(x), dim=-1)  # \u4f7f\u7528softmax\u6fc0\u6d3b\u51fd\u6570\n        return x\n<\/code><\/pre>\n<ol start=\"2\">\n<li>\u7b56\u7565\u68af\u5ea6\u7b97\u6cd5<\/li>\n<\/ol>\n<p>\u5b9e\u73b0\u7b56\u7565\u68af\u5ea6\u7b97\u6cd5\uff08\u5982REINFORCE\uff09\u66f4\u65b0\u7b56\u7565\u7f51\u7edc\u3002<\/p>\n<pre><code class=\"language-python\"># \u5b9a\u4e49\u7b56\u7565\u68af\u5ea6\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u7c7b\nclass PolicyGradient:\n    def __init__(self, model, memory, cfg):\n        self.n_actions = cfg[&#039;n_actions&#039;]\n        self.device = torch.device(cfg[&#039;device&#039;])\n        self.gamma = cfg[&#039;gamma&#039;]\n        self.policy_net = model.to(self.device)\n        self.optimizer = optim.Adam(self.policy_net.parameters(), lr=cfg[&#039;lr&#039;])\n        self.memory = memory\n\n    # \u91c7\u6837\u52a8\u4f5c\u65b9\u6cd5\n    def sample_action(self, state):\n        state = torch.tensor(state, device=self.device, dtype=torch.float32).unsqueeze(dim=0)\n        probs = self.policy_net(state).cpu().detach().numpy().flatten()\n        action = np.random.choice(self.n_actions, p=probs)\n        return action\n\n    # \u66f4\u65b0\u7b56\u7565\u7f51\u7edc\n    def update(self):\n        if len(self.memory) &lt; self.memory.capacity:\n            return\n        state_batch, action_batch, reward_batch, _, _ = self.memory.sample(self.memory.capacity)\n        state_batch = torch.tensor(np.array(state_batch), device=self.device, dtype=torch.float32)\n        action_batch = torch.tensor(action_batch, device=self.device)\n        reward_batch = torch.tensor(reward_batch, device=self.device, dtype=torch.float32)\n\n        # \u8ba1\u7b97\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u6298\u6263\u56de\u62a5\n        G = np.zeros_like(reward_batch)\n        for t in range(len(reward_batch)):\n            G_sum = 0\n            discount = 1\n            for k in range(t, len(reward_batch)):\n                G_sum += reward_batch[k] * discount\n                discount *= self.gamma\n            G[t] = G_sum\n        G = torch.tensor(G, dtype=torch.float32, device=self.device)\n\n        self.optimizer.zero_grad()\n        state_action_values = self.policy_net(state_batch)\n        log_probs = torch.log(state_action_values.gather(1, action_batch.unsqueeze(1)))\n        loss = -torch.sum(log_probs * G)\n        loss.backward()\n        self.optimizer.step()<\/code><\/pre>\n<ol start=\"3\">\n<li>\u73af\u5883\u548c\u667a\u80fd\u4f53\u914d\u7f6e<\/li>\n<\/ol>\n<p>\u521d\u59cb\u5316\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u7684\u73af\u5883\u548c\u667a\u80fd\u4f53\u3002<\/p>\n<pre><code class=\"language-python\"># \u73af\u5883\u548c\u667a\u80fd\u4f53\u914d\u7f6e\u51fd\u6570\ndef env_agent_config(cfg):\n    env = gym.make(cfg[&#039;env_name&#039;])\n    n_states = env.observation_space.shape[0]\n    n_actions = env.action_space.n\n    memory = ReplayBuffer(cfg[&#039;memory_capacity&#039;])\n    agent = PolicyGradient(PolicyNetwork(n_states, n_actions), memory, cfg)\n    return env, agent\n<\/code><\/pre>\n<ol start=\"4\">\n<li>\u8bad\u7ec3\u548c\u6d4b\u8bd5<\/li>\n<\/ol>\n<pre><code class=\"language-python\"># \u8bad\u7ec3\u51fd\u6570\ndef train(cfg, env, agent):\n    print(&quot;\u5f00\u59cb\u8bad\u7ec3\uff01&quot;)\n    rewards = []\n    steps = []\n    for i_ep in range(cfg[&#039;train_eps&#039;]):\n        ep_reward = 0\n        ep_step = 0\n        state, _ = env.reset()\n        done = False\n        while not done:\n            ep_step += 1\n            action = agent.sample_action(state)\n            next_state, reward, done, truncated, _ = env.step(action)\n            done = done or truncated\n            agent.memory.push((state, action, reward, next_state, done))\n            state = next_state\n            ep_reward += reward\n            if done:\n                break\n        agent.update()\n        steps.append(ep_step)\n        rewards.append(ep_reward)\n        if (i_ep + 1) % 10 == 0:\n            print(f&quot;\u56de\u5408\uff1a{i_ep + 1}\/{cfg[&#039;train_eps&#039;]}\uff0c\u5956\u52b1\uff1a{ep_reward:.2f}&quot;)\n    print(&quot;\u5b8c\u6210\u8bad\u7ec3\uff01&quot;)\n    env.close()\n    return {&#039;rewards&#039;: rewards}\n\n# \u6d4b\u8bd5\u51fd\u6570\ndef test(cfg, env, agent):\n    print(&quot;\u5f00\u59cb\u6d4b\u8bd5\uff01&quot;)\n    rewards = []\n    steps = []\n    for i_ep in range(cfg[&#039;test_eps&#039;]):\n        ep_reward = 0\n        ep_step = 0\n        state, _ = env.reset()\n        done = False\n        while not done and ep_step &lt; cfg[&#039;ep_max_steps&#039;]:\n            ep_step += 1\n            action = agent.sample_action(state)\n            next_state, reward, done, truncated, _ = env.step(action)\n            done = done or truncated\n            state = next_state\n            ep_reward += reward\n            if done:\n                print(f&quot;\u56de\u5408 {i_ep + 1} \u5728\u6b65\u6570 {ep_step} \u5b8c\u6210&quot;)\n        steps.append(ep_step)\n        rewards.append(ep_reward)\n        print(f&quot;\u56de\u5408\uff1a{i_ep + 1}\/{cfg[&#039;test_eps&#039;]}\uff0c\u5956\u52b1\uff1a{ep_reward:.2f}&quot;)\n    print(&quot;\u5b8c\u6210\u6d4b\u8bd5&quot;)\n    env.close()\n    return {&#039;rewards&#039;: rewards}\n\n# \u83b7\u53d6\u914d\u7f6e\u53c2\u6570\u51fd\u6570\ndef get_args():\n    return {\n        &#039;env_name&#039;: &#039;CartPole-v1&#039;,\n        &#039;n_actions&#039;: 2,\n        &#039;device&#039;: &#039;cpu&#039;,\n        &#039;gamma&#039;: 0.99,\n        &#039;epsilon_start&#039;: 1.0,\n        &#039;epsilon_end&#039;: 0.01,\n        &#039;epsilon_decay&#039;: 500,\n        &#039;batch_size&#039;: 64,\n        &#039;lr&#039;: 0.001,\n        &#039;memory_capacity&#039;: 10000,\n        &#039;train_eps&#039;: 100,\n        &#039;test_eps&#039;: 100,\n        &#039;ep_max_steps&#039;: 200,\n        &#039;target_update&#039;: 10,\n        &#039;seed&#039;: 42\n    }\n\n# \u7ed8\u5236\u5956\u52b1\u66f2\u7ebf\u51fd\u6570\ndef plot_rewards(rewards, cfg, tag=&quot;train&quot;):\n    import matplotlib.pyplot as plt\n    plt.plot(rewards)\n    plt.title(f&#039;{tag} Rewards&#039;)\n    plt.show()\n\n# \u83b7\u53d6\u53c2\u6570\ncfg = get_args()\n# \u8bad\u7ec3\nenv, agent = env_agent_config(cfg)\nres_dic = train(cfg, env, agent)\n\n# \u7ed8\u5236\u8bad\u7ec3\u5956\u52b1\u66f2\u7ebf\nplot_rewards(res_dic[&#039;rewards&#039;], cfg, tag=&quot;train&quot;)\n\n# \u6d4b\u8bd5\nres_dic = test(cfg, env, agent)\n\n# \u7ed8\u5236\u6d4b\u8bd5\u5956\u52b1\u66f2\u7ebf\nplot_rewards(res_dic[&#039;rewards&#039;], cfg, tag=&quot;test&quot;)\n<\/code><\/pre>\n<pre><code>\u5f00\u59cb\u8bad\u7ec3\uff01\n\u56de\u5408\uff1a10\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408\uff1a20\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408\uff1a30\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408\uff1a40\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408\uff1a50\/100\uff0c\u5956\u52b1\uff1a42.00\n\u56de\u5408\uff1a60\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408\uff1a70\/100\uff0c\u5956\u52b1\uff1a41.00\n\u56de\u5408\uff1a80\/100\uff0c\u5956\u52b1\uff1a33.00\n\u56de\u5408\uff1a90\/100\uff0c\u5956\u52b1\uff1a9.00\n\u56de\u5408\uff1a100\/100\uff0c\u5956\u52b1\uff1a16.00\n\u5b8c\u6210\u8bad\u7ec3\uff01<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926210637470.png\" style=\"height:400px\">\n<\/p>\n<pre><code>\u5f00\u59cb\u6d4b\u8bd5\uff01\n\u56de\u5408 1 \u5728\u6b65\u6570 31 \u5b8c\u6210\n\u56de\u5408\uff1a1\/100\uff0c\u5956\u52b1\uff1a31.00\n\u56de\u5408 2 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a2\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 3 \u5728\u6b65\u6570 23 \u5b8c\u6210\n\u56de\u5408\uff1a3\/100\uff0c\u5956\u52b1\uff1a23.00\n\u56de\u5408 4 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a4\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408 5 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a5\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 6 \u5728\u6b65\u6570 21 \u5b8c\u6210\n\u56de\u5408\uff1a6\/100\uff0c\u5956\u52b1\uff1a21.00\n\u56de\u5408 7 \u5728\u6b65\u6570 29 \u5b8c\u6210\n\u56de\u5408\uff1a7\/100\uff0c\u5956\u52b1\uff1a29.00\n\u56de\u5408 8 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a8\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 9 \u5728\u6b65\u6570 25 \u5b8c\u6210\n\u56de\u5408\uff1a9\/100\uff0c\u5956\u52b1\uff1a25.00\n\u56de\u5408 10 \u5728\u6b65\u6570 47 \u5b8c\u6210\n\u56de\u5408\uff1a10\/100\uff0c\u5956\u52b1\uff1a47.00\n\u56de\u5408 11 \u5728\u6b65\u6570 27 \u5b8c\u6210\n\u56de\u5408\uff1a11\/100\uff0c\u5956\u52b1\uff1a27.00\n\u56de\u5408 12 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a12\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 13 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a13\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408 14 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a14\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 15 \u5728\u6b65\u6570 32 \u5b8c\u6210\n\u56de\u5408\uff1a15\/100\uff0c\u5956\u52b1\uff1a32.00\n\u56de\u5408 16 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a16\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 17 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a17\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 18 \u5728\u6b65\u6570 27 \u5b8c\u6210\n\u56de\u5408\uff1a18\/100\uff0c\u5956\u52b1\uff1a27.00\n\u56de\u5408 19 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a19\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 20 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a20\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 21 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a21\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 22 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a22\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 23 \u5728\u6b65\u6570 16 \u5b8c\u6210\n\u56de\u5408\uff1a23\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408 24 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a24\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 25 \u5728\u6b65\u6570 43 \u5b8c\u6210\n\u56de\u5408\uff1a25\/100\uff0c\u5956\u52b1\uff1a43.00\n\u56de\u5408 26 \u5728\u6b65\u6570 10 \u5b8c\u6210\n\u56de\u5408\uff1a26\/100\uff0c\u5956\u52b1\uff1a10.00\n\u56de\u5408 27 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a27\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 28 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a28\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 29 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a29\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 30 \u5728\u6b65\u6570 34 \u5b8c\u6210\n\u56de\u5408\uff1a30\/100\uff0c\u5956\u52b1\uff1a34.00\n\u56de\u5408 31 \u5728\u6b65\u6570 16 \u5b8c\u6210\n\u56de\u5408\uff1a31\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408 32 \u5728\u6b65\u6570 30 \u5b8c\u6210\n\u56de\u5408\uff1a32\/100\uff0c\u5956\u52b1\uff1a30.00\n\u56de\u5408 33 \u5728\u6b65\u6570 13 \u5b8c\u6210\n\u56de\u5408\uff1a33\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408 34 \u5728\u6b65\u6570 16 \u5b8c\u6210\n\u56de\u5408\uff1a34\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408 35 \u5728\u6b65\u6570 13 \u5b8c\u6210\n\u56de\u5408\uff1a35\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408 36 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a36\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 37 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a37\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 38 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a38\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 39 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a39\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 40 \u5728\u6b65\u6570 41 \u5b8c\u6210\n\u56de\u5408\uff1a40\/100\uff0c\u5956\u52b1\uff1a41.00\n\u56de\u5408 41 \u5728\u6b65\u6570 24 \u5b8c\u6210\n\u56de\u5408\uff1a41\/100\uff0c\u5956\u52b1\uff1a24.00\n\u56de\u5408 42 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a42\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 43 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a43\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 44 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a44\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 45 \u5728\u6b65\u6570 16 \u5b8c\u6210\n\u56de\u5408\uff1a45\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408 46 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a46\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 47 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a47\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 48 \u5728\u6b65\u6570 13 \u5b8c\u6210\n\u56de\u5408\uff1a48\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408 49 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a49\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 50 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a50\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 51 \u5728\u6b65\u6570 21 \u5b8c\u6210\n\u56de\u5408\uff1a51\/100\uff0c\u5956\u52b1\uff1a21.00\n\u56de\u5408 52 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a52\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 53 \u5728\u6b65\u6570 13 \u5b8c\u6210\n\u56de\u5408\uff1a53\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408 54 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a54\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 55 \u5728\u6b65\u6570 54 \u5b8c\u6210\n\u56de\u5408\uff1a55\/100\uff0c\u5956\u52b1\uff1a54.00\n\u56de\u5408 56 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a56\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408 57 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a57\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 58 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a58\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 59 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a59\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 60 \u5728\u6b65\u6570 10 \u5b8c\u6210\n\u56de\u5408\uff1a60\/100\uff0c\u5956\u52b1\uff1a10.00\n\u56de\u5408 61 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a61\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 62 \u5728\u6b65\u6570 30 \u5b8c\u6210\n\u56de\u5408\uff1a62\/100\uff0c\u5956\u52b1\uff1a30.00\n\u56de\u5408 63 \u5728\u6b65\u6570 10 \u5b8c\u6210\n\u56de\u5408\uff1a63\/100\uff0c\u5956\u52b1\uff1a10.00\n\u56de\u5408 64 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a64\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 65 \u5728\u6b65\u6570 24 \u5b8c\u6210\n\u56de\u5408\uff1a65\/100\uff0c\u5956\u52b1\uff1a24.00\n\u56de\u5408 66 \u5728\u6b65\u6570 52 \u5b8c\u6210\n\u56de\u5408\uff1a66\/100\uff0c\u5956\u52b1\uff1a52.00\n\u56de\u5408 67 \u5728\u6b65\u6570 51 \u5b8c\u6210\n\u56de\u5408\uff1a67\/100\uff0c\u5956\u52b1\uff1a51.00\n\u56de\u5408 68 \u5728\u6b65\u6570 31 \u5b8c\u6210\n\u56de\u5408\uff1a68\/100\uff0c\u5956\u52b1\uff1a31.00\n\u56de\u5408 69 \u5728\u6b65\u6570 39 \u5b8c\u6210\n\u56de\u5408\uff1a69\/100\uff0c\u5956\u52b1\uff1a39.00\n\u56de\u5408 70 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a70\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 71 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a71\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 72 \u5728\u6b65\u6570 36 \u5b8c\u6210\n\u56de\u5408\uff1a72\/100\uff0c\u5956\u52b1\uff1a36.00\n\u56de\u5408 73 \u5728\u6b65\u6570 21 \u5b8c\u6210\n\u56de\u5408\uff1a73\/100\uff0c\u5956\u52b1\uff1a21.00\n\u56de\u5408 74 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a74\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 75 \u5728\u6b65\u6570 28 \u5b8c\u6210\n\u56de\u5408\uff1a75\/100\uff0c\u5956\u52b1\uff1a28.00\n\u56de\u5408 76 \u5728\u6b65\u6570 28 \u5b8c\u6210\n\u56de\u5408\uff1a76\/100\uff0c\u5956\u52b1\uff1a28.00\n\u56de\u5408 77 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a77\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 78 \u5728\u6b65\u6570 37 \u5b8c\u6210\n\u56de\u5408\uff1a78\/100\uff0c\u5956\u52b1\uff1a37.00\n\u56de\u5408 79 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a79\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 80 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a80\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 81 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a81\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 82 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a82\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 83 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a83\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 84 \u5728\u6b65\u6570 37 \u5b8c\u6210\n\u56de\u5408\uff1a84\/100\uff0c\u5956\u52b1\uff1a37.00\n\u56de\u5408 85 \u5728\u6b65\u6570 16 \u5b8c\u6210\n\u56de\u5408\uff1a85\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408 86 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a86\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 87 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a87\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 88 \u5728\u6b65\u6570 32 \u5b8c\u6210\n\u56de\u5408\uff1a88\/100\uff0c\u5956\u52b1\uff1a32.00\n\u56de\u5408 89 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a89\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 90 \u5728\u6b65\u6570 45 \u5b8c\u6210\n\u56de\u5408\uff1a90\/100\uff0c\u5956\u52b1\uff1a45.00\n\u56de\u5408 91 \u5728\u6b65\u6570 35 \u5b8c\u6210\n\u56de\u5408\uff1a91\/100\uff0c\u5956\u52b1\uff1a35.00\n\u56de\u5408 92 \u5728\u6b65\u6570 36 \u5b8c\u6210\n\u56de\u5408\uff1a92\/100\uff0c\u5956\u52b1\uff1a36.00\n\u56de\u5408 93 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a93\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 94 \u5728\u6b65\u6570 33 \u5b8c\u6210\n\u56de\u5408\uff1a94\/100\uff0c\u5956\u52b1\uff1a33.00\n\u56de\u5408 95 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a95\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 96 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a96\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 97 \u5728\u6b65\u6570 32 \u5b8c\u6210\n\u56de\u5408\uff1a97\/100\uff0c\u5956\u52b1\uff1a32.00\n\u56de\u5408 98 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a98\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 99 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a99\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 100 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a100\/100\uff0c\u5956\u52b1\uff1a20.00\n\u5b8c\u6210\u6d4b\u8bd5<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926210700498.png\" style=\"height:400px\">\n<\/p>\n<h2><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=aaIXU3iIXlkB&format=png&color=5C7CFA\" style=\"height:50px;display:inline\"> \u6f14\u5458\u8bc4\u8bba\u5bb6\u6a21\u578b\uff08Actor-Critic model\uff09<\/h2>\n<hr \/>\n<p>\u6f14\u5458-\u8bc4\u8bba\u5bb6\uff08Actor-Critic\uff09\u6a21\u578b\u662f\u4e00\u79cd\u7ed3\u5408\u4e86\u57fa\u4e8e\u503c\u7684\u65b9\u6cd5\u548c\u57fa\u4e8e\u7b56\u7565\u7684\u65b9\u6cd5\u7684\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\u3002 \u8fd9\u4e2a\u6a21\u578b\u7684\u6838\u5fc3\u601d\u60f3\u662f\u5c06\u7b56\u7565\u51b3\u7b56\uff08\u6f14\u5458\uff09\u548c\u503c\u51fd\u6570\u4f30\u8ba1\uff08\u8bc4\u8bba\u5bb6\uff09\u7684\u4f18\u70b9\u7ed3\u5408\u8d77\u6765\uff0c\u4ee5\u671f\u8fbe\u5230\u66f4\u597d\u7684\u5b66\u4e60\u6548\u7387\u548c\u7b56\u7565\u6027\u80fd\u3002<\/p>\n<p><strong>\u6f14\u5458\u90e8\u5206\u8d1f\u8d23\u57fa\u4e8e\u5f53\u524d\u7b56\u7565\u9009\u62e9\u52a8\u4f5c<\/strong>\u3002<\/p>\n<ul>\n<li>\n<p>\u8fd9\u4e2a\u7b56\u7565\u901a\u5e38\u662f\u968f\u673a\u7684\uff0c\u5141\u8bb8\u7b97\u6cd5\u5728\u63a2\u7d22\uff08\u5c1d\u8bd5\u65b0\u52a8\u4f5c\uff09\u548c\u5229\u7528\uff08\u9009\u62e9\u5df2\u77e5\u6700\u4f73\u52a8\u4f5c\uff09\u4e4b\u95f4\u53d6\u5f97\u5e73\u8861\u3002\u6f14\u5458\u7684\u7b56\u7565\u662f\u901a\u8fc7\u67d0\u79cd\u53c2\u6570\u5316\u5f62\u5f0f\u5b9e\u73b0\u7684\uff0c\u4e00\u822c\u4f7f\u7528\u795e\u7ecf\u7f51\u7edc\uff0c\u5176\u53c2\u6570\u901a\u8fc7\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u66f4\u65b0\u3002\u5177\u4f53\u89e3\u91ca\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\n<p>\u8f93\u5165: \u6f14\u5458\u7f51\u7edc\u7684\u8f93\u5165\u901a\u5e38\u662f\u73af\u5883\u7684\u5f53\u524d\u72b6\u6001\u3002<\/p>\n<\/li>\n<li>\n<p>\u8f93\u51fa: \u8f93\u51fa\u662f\u5bf9\u6bcf\u4e2a\u53ef\u80fd\u52a8\u4f5c\u7684\u6982\u7387\u5206\u5e03 (\u5728\u79bb\u6563\u52a8\u4f5c\u7a7a\u95f4\u4e2d) \u6216\u8005\u7279\u5b9a\u52a8\u4f5c\u7684\u53c2\u6570 (\u5982\u5747\u503c\u548c\u6807\u51c6\u5dee\uff0c\u5728\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u4e2d\uff09\u3002<\/p>\n<\/li>\n<li>\n<p>\u635f\u5931\u51fd\u6570: \u6f14\u5458\u7f51\u7edc\u7684\u8bad\u7ec3\u901a\u5e38\u901a\u8fc7\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\uff0c\u4f8b\u5982REINFORCE\u6216Actor-Critic\u65b9\u6cd5\u7684\u7b56\u7565\u68af\u5ea6\u3002 <\/p>\n<\/li>\n<li>\n<p>\u4f18\u5316\u65b9\u6cd5: \u68af\u5ea6\u4e0a\u5347\u662f\u5e38\u7528\u7684\u4f18\u5316\u65b9\u6cd5\uff0c\u7528\u4e8e\u6700\u5927\u5316\u5956\u52b1\u671f\u671b\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u8bc4\u8bba\u5bb6\u90e8\u5206\u4f30\u8ba1\u6240\u9009\u52a8\u4f5c\u7684\u4ef7\u503c<\/strong><\/p>\n<ul>\n<li>\n<p>\u901a\u5e38\u662f\u72b6\u6001-\u52a8\u4f5c\u5bf9\u7684Q\u503c\u6216\u4ec5\u662f\u72b6\u6001\u7684\u4ef7\u503cV\u3002\u8fd9\u4e2a\u8bc4\u4ef7\u5e2e\u52a9\u6f14\u5458\u5224\u65ad\u6240\u9009\u62e9\u7684\u52a8\u4f5c\u662f\u597d\u662f\u574f\u3002\u8bc4\u8bba\u5bb6\u7684\u66f4\u65b0\u901a\u5e38\u4f9d\u8d56\u4e8eTD-Learning\u6216\u5176\u4ed6\u503c\u51fd\u6570\u8fd1\u4f3c\u65b9\u6cd5\uff0c\u5e76\u4e14\u5b83\u63d0\u4f9b\u7684\u4ef7\u503c\u53cd\u9988\u7528\u4e8e\u6307\u5bfc\u6f14\u5458\u7684\u7b56\u7565\u66f4\u65b0\u3002\u5177\u4f53\u89e3\u91ca\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\n<p>\u8f93\u5165: \u8f93\u5165\u901a\u5e38\u662f\u5f53\u524d\u72b6\u6001\u6216\u72b6\u6001\u548c\u52a8\u4f5c\u7684\u7ec4\u5408\u3002<\/p>\n<\/li>\n<li>\n<p>\u8f93\u51fa: \u8f93\u51fa\u662f\u5bf9\u5f53\u524d\u72b6\u6001\u6216\u72b6\u6001-\u52a8\u4f5c\u5bf9\u7684\u4ef7\u503c\u4f30\u8ba1\uff0c\u5373 Q \u503c (\u72b6\u6001-\u52a8\u4f5c\u503c\u51fd\u6570) \u6216 V \u503c (\u72b6\u6001\u503c\u51fd\u6570)\u3002<\/p>\n<\/li>\n<li>\n<p>\u635f\u5931\u51fd\u6570: \u8bc4\u8bba\u5bb6\u7684\u635f\u5931\u51fd\u6570\u901a\u5e38\u662fTD\u8bef\u5dee\u7684\u5e73\u65b9\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f18\u5316\u65b9\u6cd5: \u68af\u5ea6\u4e0b\u964d\u662f\u6700\u5e38\u7528\u7684\u4f18\u5316\u65b9\u6cd5\uff0c\u7528\u4e8e\u6700\u5c0f\u5316\u4ef7\u503c\u4f30\u8ba1\u7684\u8bef\u5dee\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u5728\u6f14\u5458-\u8bc4\u8bba\u5bb6\uff08Actor-Critic\uff09\u6a21\u578b\u4e2d\uff0c\u5b66\u4e60\u8fc7\u7a0b\u6d89\u53ca\u5230\u4e00\u4e2a<strong>\u4ea4\u4e92\u5f0f\u7684\u73af\u8282<\/strong>\u3002<\/p>\n<ul>\n<li>\u6f14\u5458\u8d1f\u8d23\u9009\u62e9\u52a8\u4f5c<\/li>\n<li>\u8bc4\u8bba\u5bb6\u5219\u8bc4\u4f30\u8fd9\u4e9b\u52a8\u4f5c\u7684\u597d\u574f\u3002<\/li>\n<li>\u4e0b\u9762\u8be6\u7ec6\u89e3\u91ca\u8fd9\u4e2a\u8fc7\u7a0b\u7684\u6bcf\u4e2a\u6b65\u9aa4\uff1a\n<ul>\n<li><strong>Step1<\/strong>\uff1a\u57fa\u4e8e\u5f53\u524d\u7b56\u7565\uff0c\u6f14\u5458\u9009\u62e9\u4e00\u4e2a\u52a8\u4f5c\u3002<\/li>\n<li><strong>Step2<\/strong>\uff1a\u73af\u5883\u53cd\u9988\uff0c\u73af\u5883\u6839\u636e\u9009\u62e9\u7684\u52a8\u4f5c\u8fd4\u56de\u65b0\u7684\u72b6\u6001\u548c\u5956\u52b1\u3002<\/li>\n<li><strong>Step3<\/strong>\uff1a\u5b66\u4e60\u66f4\u65b0\uff0c\u8bc4\u8bba\u5bb6\u4f7f\u7528TD\u8bef\u5dee\u6765\u8bc4\u4f30\u6240\u91c7\u53d6\u52a8\u4f5c\u7684\u4ef7\u503c\u3002 \u540c\u65f6\uff0c\u6f14\u5458\u6839\u636e\u8bc4\u8bba\u5bb6\u7684\u53cd\u9988\u6765\u66f4\u65b0\u5176\u7b56\u7565\uff0c\u4ee5\u589e\u52a0\u5728\u7c7b\u4f3c\u60c5\u5883\u4e0b\u9009\u62e9\u66f4\u6709\u4ef7\u503c\u52a8\u4f5c\u7684\u6982\u7387\u3002<\/li>\n<li><strong>Step4<\/strong>\uff1a\u8fed\u4ee3\u4e0b\u53bb\u76f4\u5230\u8f68\u8ff9\u7ed3\u675f<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u7b97\u6cd5\u7684\u4f18\u7f3a\u70b9<\/strong><\/p>\n<ul>\n<li>\n<p>\u4f18\u70b9\u5982\u4e0b\uff1a<\/p>\n<p>1.\u7a33\u5b9a\u6027\u4e0e\u6548\u7387\u7684\u7ed3\u5408\uff1a \u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u7ed3\u5408\u4e86\u57fa\u4e8e\u7b56\u7565\u7684\u65b9\u6cd5\uff08\u5982REINFORCE\uff09\u7684\u4f18\u70b9\u548c\u57fa\u4e8e\u503c\u7684\u65b9\u6cd5\uff08\u5982Q\u5b66\u4e60\u6216DQN\uff09\u7684\u4f18\u70b9\uff0c\u6bd4\u5355\u72ec\u4f7f\u7528\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u6216\u503c\u51fd\u6570\u65b9\u6cd5\u66f4\u7a33\u5b9a\u548c\u9ad8\u6548\u3002<\/p>\n<p>2.\u9002\u7528\u4e8e\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\uff1a \u4e0e\u4ec5\u57fa\u4e8e\u503c\u7684\u65b9\u6cd5\uff08\u5982DQN\uff09\u4e0d\u540c\uff0c\u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u9002\u7528\u4e8e\u8fde\u7eed\u52a8\u4f5c\u7a7a\u95f4\u7684\u95ee\u9898\uff0c\u4f7f\u5176\u5728\u5904\u7406\u8bf8\u5982\u673a\u5668\u4eba\u63a7\u5236\u7b49\u95ee\u9898\u65f6\u66f4\u4e3a\u6709\u6548\u3002\u8fd9\u4e2a\u4f18\u70b9\u662f\u7ee7\u627f\u81ea\u57fa\u4e8e\u7b56\u7565\u7684\u5f3a\u5316\u5b66\u4e60\u7684\u3002<\/p>\n<p>3.\u51cf\u5c11\u65b9\u5dee\uff0c\u63d0\u9ad8\u5b66\u4e60\u6548\u7387\uff1a \u8bc4\u8bba\u5bb6\u7684\u5f15\u5165\u5e2e\u52a9\u51cf\u5c11\u7b56\u7565\u4f30\u8ba1\u7684\u65b9\u5dee\uff0c\u4ece\u800c\u63d0\u9ad8\u5b66\u4e60\u7684\u6548\u7387\u3002\u8fd9\u4e2a\u4f18\u70b9\u662f\u7ee7\u627f\u81ea\u57fa\u4e8e\u4ef7\u503c\u7684\u5f3a\u5316\u5b66\u4e60\u7684\u3002<\/p>\n<ol start=\"4\">\n<li>\u5728\u7ebf\u5b66\u4e60\u548c\u79bb\u7ebf\u5b66\u4e60\uff1a \u53ef\u4ee5\u5e94\u7528\u4e8e\u5728\u7ebf\u5b66\u4e60\uff08\u4ece\u6bcf\u4e2a\u6b65\u9aa4\u4e2d\u5b66\u4e60\uff09\u548c\u79bb\u7ebf\u5b66\u4e60\uff08\u4ece\u4e00\u4e2a\u5b8c\u6574\u7684\u60c5\u8282\u4e2d\u5b66\u4e60\uff09\uff0c\u63d0\u4f9b\u7075\u6d3b\u7684\u5b66\u4e60\u65b9\u5f0f\u3002<\/li>\n<\/ol>\n<\/li>\n<li>\n<p>\u7f3a\u70b9\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\n<p>\u590d\u6742\u6027\u548c\u8ba1\u7b97\u6210\u672c\uff1a \u9700\u8981\u540c\u65f6\u8bad\u7ec3\u4e24\u4e2a\u6a21\u578b\uff08\u6f14\u5458\u548c\u8bc4\u8bba\u5bb6\uff09\uff0c\u8fd9\u53ef\u80fd\u5bfc\u81f4\u6a21\u578b\u66f4\u52a0\u590d\u6742\u548c\u8ba1\u7b97\u6210\u672c\u66f4\u9ad8\u3002<\/p>\n<\/li>\n<li>\n<p>\u7a33\u5b9a\u6027\u95ee\u9898\uff1a \u5c3d\u7ba1\u6bd4\u7eaf\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5\u66f4\u7a33\u5b9a\uff0c\u4f46\u662f\u6f14\u5458-\u8bc4\u8bba\u5bb6\u7b97\u6cd5\u7684\u7a33\u5b9a\u6027\u4ecd\u7136\u4e0d\u5982\u4f20\u7edf\u7684\u57fa\u4e8e\u503c\u7684\u65b9\u6cd5\uff0c\u5982DQN\u3002<\/p>\n<\/li>\n<li>\n<p>\u8c03\u53c2\u96be\u5ea6\uff1a \u9700\u8981\u8c03\u6574\u66f4\u591a\u7684\u8d85\u53c2\u6570\uff08\u5982\u4e24\u4e2a\u4e0d\u540c\u7f51\u7edc\u7684\u5b66\u4e60\u7387\u3001\u6298\u6263\u56e0\u5b50\u7b49\uff09\uff0c\u8c03\u53c2\u53ef\u80fd\u6bd4\u5355\u4e00\u6a21\u578b\u65b9\u6cd5\u66f4\u52a0\u56f0\u96be\u3002<\/p>\n<\/li>\n<li>\n<p>\u8fc7\u5ea6\u4f30\u8ba1\u7684\u98ce\u9669\uff1a \u7531\u4e8e\u8bc4\u8bba\u5bb6\u6a21\u578b\u53ef\u80fd\u8fc7\u5ea6\u4f30\u8ba1\u503c\u51fd\u6570\uff0c\u7279\u522b\u662f\u5728\u4f7f\u7528\u51fd\u6570\u903c\u8fd1\u5668\uff08\u5982\u795e\u7ecf\u7f51\u7edc\uff09\u65f6\uff0c\u53ef\u80fd\u5bfc\u81f4\u5b66\u4e60\u8fc7\u7a0b\u4e0d\u7a33\u5b9a\u3002<\/p>\n<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<h3><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=48250&format=png&color=000000\" style=\"height:50px;display:inline\"> \u793a\u4f8b\u4ee3\u7801\uff1a\u6f14\u5458\u8bc4\u8bba\u5bb6\u6a21\u578b<\/h3>\n<hr \/>\n<pre><code class=\"language-python\">class ActorCriticNetwork(nn.Module):\n    def __init__(self, n_states, n_actions):\n        super(ActorCriticNetwork, self).__init__()\n        self.fc1 = nn.Linear(n_states, 256)\n        self.fc2 = nn.Linear(256, 128)\n        self.actor = nn.Linear(128, n_actions)\n        self.critic = nn.Linear(128, 1)\n\n    def forward(self, x):\n        x = F.relu(self.fc1(x))\n        x = F.relu(self.fc2(x))\n        policy_dist = F.softmax(self.actor(x), dim=-1)\n        value = self.critic(x)\n        return policy_dist, value\n<\/code><\/pre>\n<pre><code class=\"language-python\">class ActorCritic:\n    def __init__(self, model, memory, cfg):\n        self.n_actions = cfg[&#039;n_actions&#039;]\n        self.device = torch.device(cfg[&#039;device&#039;])\n        self.gamma = cfg[&#039;gamma&#039;]\n        self.model = model.to(self.device)\n        self.optimizer = optim.Adam(self.model.parameters(), lr=cfg[&#039;lr&#039;])\n        self.memory = memory\n\n    # \u91c7\u6837\u52a8\u4f5c\u65b9\u6cd5\n    def sample_action(self, state):\n        state = torch.tensor(state, device=self.device, dtype=torch.float32).unsqueeze(dim=0)  # \u5c06\u72b6\u6001\u8f6c\u6362\u4e3a\u5f20\u91cf\n        policy_dist, _ = self.model(state)  # \u83b7\u53d6\u7b56\u7565\u5206\u5e03\n        policy_dist = policy_dist.cpu().detach().numpy().flatten()  # \u5c06\u7b56\u7565\u5206\u5e03\u8f6c\u6362\u4e3anumpy\u6570\u7ec4\u5e76\u5c55\u5e73\n        action = np.random.choice(self.n_actions, p=policy_dist)  # \u6839\u636e\u7b56\u7565\u5206\u5e03\u91c7\u6837\u52a8\u4f5c\n        return action\n\n    # \u66f4\u65b0\u6a21\u578b\u65b9\u6cd5\n    def update(self):\n        if len(self.memory) &lt; self.memory.capacity:  # \u5982\u679c\u7f13\u51b2\u533a\u4e2d\u7684\u7ecf\u9a8c\u4e0d\u8db3\n            return\n        # \u4ece\u7f13\u51b2\u533a\u91c7\u6837\u4e00\u4e2a\u6279\u6b21\u7684\u7ecf\u9a8c\n        state_batch, action_batch, reward_batch, next_state_batch, done_batch = self.memory.sample(self.memory.capacity)\n        state_batch = torch.tensor(np.array(state_batch), device=self.device, dtype=torch.float32)  # \u5c06\u72b6\u6001\u8f6c\u6362\u4e3a\u5f20\u91cf\n        action_batch = torch.tensor(action_batch, device=self.device)  # \u5c06\u52a8\u4f5c\u8f6c\u6362\u4e3a\u5f20\u91cf\n        reward_batch = torch.tensor(reward_batch, device=self.device, dtype=torch.float32)  # \u5c06\u5956\u52b1\u8f6c\u6362\u4e3a\u5f20\u91cf\n        next_state_batch = torch.tensor(np.array(next_state_batch), device=self.device, dtype=torch.float32)  # \u5c06\u4e0b\u4e00\u4e2a\u72b6\u6001\u8f6c\u6362\u4e3a\u5f20\u91cf\n        done_batch = torch.tensor(done_batch, device=self.device, dtype=torch.float32)  # \u5c06\u5b8c\u6210\u6807\u5fd7\u8f6c\u6362\u4e3a\u5f20\u91cf\n\n        # \u83b7\u53d6\u4e0b\u4e00\u4e2a\u72b6\u6001\u7684\u4ef7\u503c\n        _, next_value = self.model(next_state_batch)\n        # \u8ba1\u7b97\u76ee\u6807\u4ef7\u503c\n        target_values = reward_batch + self.gamma * next_value.squeeze() * (1 - done_batch)\n\n        # \u83b7\u53d6\u5f53\u524d\u72b6\u6001\u7684\u7b56\u7565\u5206\u5e03\u548c\u4ef7\u503c\n        policy_dist, values = self.model(state_batch)\n        values = values.squeeze()  # \u53bb\u6389\u591a\u4f59\u7684\u7ef4\u5ea6\n\n        # \u8ba1\u7b97\u4f18\u52bf\n        advantages = target_values - values\n\n        # \u8ba1\u7b97\u7b56\u7565\u7684\u5bf9\u6570\u6982\u7387\n        log_probs = torch.log(policy_dist.gather(1, action_batch.unsqueeze(1)))\n        actor_loss = -torch.sum(log_probs.squeeze() * advantages.detach())  # \u7b56\u7565\u635f\u5931\n        critic_loss = F.mse_loss(values, target_values.detach())  # \u4ef7\u503c\u635f\u5931\n\n        loss = actor_loss + critic_loss  # \u603b\u635f\u5931\n\n        self.optimizer.zero_grad()\n        loss.backward()\n        self.optimizer.step()\n<\/code><\/pre>\n<pre><code class=\"language-python\">def env_agent_config(cfg):\n    env = gym.make(cfg[&#039;env_name&#039;])\n    n_states = env.observation_space.shape[0]\n    n_actions = env.action_space.n\n    memory = ReplayBuffer(cfg[&#039;memory_capacity&#039;])\n    agent = ActorCritic(ActorCriticNetwork(n_states, n_actions), memory, cfg)\n    return env, agent\n\ndef train(cfg, env, agent):\n    print(&quot;\u5f00\u59cb\u8bad\u7ec3\uff01&quot;)\n    rewards = []\n    steps = []\n    for i_ep in range(cfg[&#039;train_eps&#039;]):\n        ep_reward = 0\n        ep_step = 0\n        state, _ = env.reset()\n        done = False\n        while not done:\n            ep_step += 1\n            action = agent.sample_action(state)\n            next_state, reward, done, truncated, _ = env.step(action)\n            done = done or truncated\n            agent.memory.push((state, action, reward, next_state, done))\n            state = next_state\n            ep_reward += reward\n            if done:\n                break\n        agent.update()\n        steps.append(ep_step)\n        rewards.append(ep_reward)\n        if (i_ep + 1) % 10 == 0:\n            print(f&quot;\u56de\u5408\uff1a{i_ep + 1}\/{cfg[&#039;train_eps&#039;]}\uff0c\u5956\u52b1\uff1a{ep_reward:.2f}&quot;)\n    print(&quot;\u5b8c\u6210\u8bad\u7ec3\uff01&quot;)\n    env.close()\n    return {&#039;rewards&#039;: rewards}\n\ndef test(cfg, env, agent):\n    print(&quot;\u5f00\u59cb\u6d4b\u8bd5\uff01&quot;)\n    rewards = []\n    steps = []\n    for i_ep in range(cfg[&#039;test_eps&#039;]):\n        ep_reward = 0\n        ep_step = 0\n        state, _ = env.reset()\n        done = False\n        while not done and ep_step &lt; cfg[&#039;ep_max_steps&#039;]:\n            ep_step += 1\n            action = agent.sample_action(state)\n            next_state, reward, done, truncated, _ = env.step(action)\n            done = done or truncated\n            state = next_state\n            ep_reward += reward\n            if done:\n                print(f&quot;\u56de\u5408 {i_ep + 1} \u5728\u6b65\u6570 {ep_step} \u5b8c\u6210&quot;)\n        steps.append(ep_step)\n        rewards.append(ep_reward)\n        print(f&quot;\u56de\u5408\uff1a{i_ep + 1}\/{cfg[&#039;test_eps&#039;]}\uff0c\u5956\u52b1\uff1a{ep_reward:.2f}&quot;)\n    print(&quot;\u5b8c\u6210\u6d4b\u8bd5&quot;)\n    env.close()\n    return {&#039;rewards&#039;: rewards}\n\ndef get_args():\n    return {\n        &#039;env_name&#039;: &#039;CartPole-v1&#039;,\n        &#039;n_actions&#039;: 2,\n        &#039;device&#039;: &#039;cpu&#039;,\n        &#039;gamma&#039;: 0.99,  # \u8c03\u6574\u6298\u6263\u56e0\u5b50\n        &#039;lr&#039;: 0.0005,  # \u8c03\u6574\u5b66\u4e60\u7387\n        &#039;memory_capacity&#039;: 10000,\n        &#039;train_eps&#039;: 100,  # \u589e\u52a0\u8bad\u7ec3\u56de\u5408\u6570\n        &#039;test_eps&#039;: 100,\n        &#039;ep_max_steps&#039;: 200,\n        &#039;seed&#039;: 42\n    }\n\ndef plot_rewards(rewards, cfg, tag=&quot;train&quot;):\n    import matplotlib.pyplot as plt\n    plt.plot(rewards)\n    plt.title(f&#039;{tag} Rewards&#039;)\n    plt.show()\n\ncfg = get_args()\nenv, agent = env_agent_config(cfg)\nres_dic = train(cfg, env, agent)\nplot_rewards(res_dic[&#039;rewards&#039;], cfg, tag=&quot;train&quot;)\nres_dic = test(cfg, env, agent)\nplot_rewards(res_dic[&#039;rewards&#039;], cfg, tag=&quot;test&quot;)\n<\/code><\/pre>\n<pre><code>\u5f00\u59cb\u8bad\u7ec3\uff01\n\u56de\u5408\uff1a10\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408\uff1a20\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408\uff1a30\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408\uff1a40\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408\uff1a50\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408\uff1a60\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408\uff1a70\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408\uff1a80\/100\uff0c\u5956\u52b1\uff1a36.00\n\u56de\u5408\uff1a90\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408\uff1a100\/100\uff0c\u5956\u52b1\uff1a46.00\n\u5b8c\u6210\u8bad\u7ec3\uff01<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926210806164.png\" style=\"height:400px\">\n<\/p>\n<pre><code>\u5f00\u59cb\u6d4b\u8bd5\uff01\n\u56de\u5408 1 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a1\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 2 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a2\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 3 \u5728\u6b65\u6570 74 \u5b8c\u6210\n\u56de\u5408\uff1a3\/100\uff0c\u5956\u52b1\uff1a74.00\n\u56de\u5408 4 \u5728\u6b65\u6570 27 \u5b8c\u6210\n\u56de\u5408\uff1a4\/100\uff0c\u5956\u52b1\uff1a27.00\n\u56de\u5408 5 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a5\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 6 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a6\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 7 \u5728\u6b65\u6570 38 \u5b8c\u6210\n\u56de\u5408\uff1a7\/100\uff0c\u5956\u52b1\uff1a38.00\n\u56de\u5408 8 \u5728\u6b65\u6570 65 \u5b8c\u6210\n\u56de\u5408\uff1a8\/100\uff0c\u5956\u52b1\uff1a65.00\n\u56de\u5408 9 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a9\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 10 \u5728\u6b65\u6570 43 \u5b8c\u6210\n\u56de\u5408\uff1a10\/100\uff0c\u5956\u52b1\uff1a43.00\n\u56de\u5408 11 \u5728\u6b65\u6570 11 \u5b8c\u6210\n\u56de\u5408\uff1a11\/100\uff0c\u5956\u52b1\uff1a11.00\n\u56de\u5408 12 \u5728\u6b65\u6570 13 \u5b8c\u6210\n\u56de\u5408\uff1a12\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408 13 \u5728\u6b65\u6570 31 \u5b8c\u6210\n\u56de\u5408\uff1a13\/100\uff0c\u5956\u52b1\uff1a31.00\n\u56de\u5408 14 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a14\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 15 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a15\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 16 \u5728\u6b65\u6570 32 \u5b8c\u6210\n\u56de\u5408\uff1a16\/100\uff0c\u5956\u52b1\uff1a32.00\n\u56de\u5408 17 \u5728\u6b65\u6570 9 \u5b8c\u6210\n\u56de\u5408\uff1a17\/100\uff0c\u5956\u52b1\uff1a9.00\n\u56de\u5408 18 \u5728\u6b65\u6570 21 \u5b8c\u6210\n\u56de\u5408\uff1a18\/100\uff0c\u5956\u52b1\uff1a21.00\n\u56de\u5408 19 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a19\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 20 \u5728\u6b65\u6570 21 \u5b8c\u6210\n\u56de\u5408\uff1a20\/100\uff0c\u5956\u52b1\uff1a21.00\n\u56de\u5408 21 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a21\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 22 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a22\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 23 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a23\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 24 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a24\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 25 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a25\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 26 \u5728\u6b65\u6570 43 \u5b8c\u6210\n\u56de\u5408\uff1a26\/100\uff0c\u5956\u52b1\uff1a43.00\n\u56de\u5408 27 \u5728\u6b65\u6570 37 \u5b8c\u6210\n\u56de\u5408\uff1a27\/100\uff0c\u5956\u52b1\uff1a37.00\n\u56de\u5408 28 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a28\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 29 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a29\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 30 \u5728\u6b65\u6570 47 \u5b8c\u6210\n\u56de\u5408\uff1a30\/100\uff0c\u5956\u52b1\uff1a47.00\n\u56de\u5408 31 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a31\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 32 \u5728\u6b65\u6570 29 \u5b8c\u6210\n\u56de\u5408\uff1a32\/100\uff0c\u5956\u52b1\uff1a29.00\n\u56de\u5408 33 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a33\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 34 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a34\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 35 \u5728\u6b65\u6570 44 \u5b8c\u6210\n\u56de\u5408\uff1a35\/100\uff0c\u5956\u52b1\uff1a44.00\n\u56de\u5408 36 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a36\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 37 \u5728\u6b65\u6570 29 \u5b8c\u6210\n\u56de\u5408\uff1a37\/100\uff0c\u5956\u52b1\uff1a29.00\n\u56de\u5408 38 \u5728\u6b65\u6570 29 \u5b8c\u6210\n\u56de\u5408\uff1a38\/100\uff0c\u5956\u52b1\uff1a29.00\n\u56de\u5408 39 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a39\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 40 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a40\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 41 \u5728\u6b65\u6570 74 \u5b8c\u6210\n\u56de\u5408\uff1a41\/100\uff0c\u5956\u52b1\uff1a74.00\n\u56de\u5408 42 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a42\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 43 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a43\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 44 \u5728\u6b65\u6570 28 \u5b8c\u6210\n\u56de\u5408\uff1a44\/100\uff0c\u5956\u52b1\uff1a28.00\n\u56de\u5408 45 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a45\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 46 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a46\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 47 \u5728\u6b65\u6570 33 \u5b8c\u6210\n\u56de\u5408\uff1a47\/100\uff0c\u5956\u52b1\uff1a33.00\n\u56de\u5408 48 \u5728\u6b65\u6570 25 \u5b8c\u6210\n\u56de\u5408\uff1a48\/100\uff0c\u5956\u52b1\uff1a25.00\n\u56de\u5408 49 \u5728\u6b65\u6570 34 \u5b8c\u6210\n\u56de\u5408\uff1a49\/100\uff0c\u5956\u52b1\uff1a34.00\n\u56de\u5408 50 \u5728\u6b65\u6570 10 \u5b8c\u6210\n\u56de\u5408\uff1a50\/100\uff0c\u5956\u52b1\uff1a10.00\n\u56de\u5408 51 \u5728\u6b65\u6570 42 \u5b8c\u6210\n\u56de\u5408\uff1a51\/100\uff0c\u5956\u52b1\uff1a42.00\n\u56de\u5408 52 \u5728\u6b65\u6570 27 \u5b8c\u6210\n\u56de\u5408\uff1a52\/100\uff0c\u5956\u52b1\uff1a27.00\n\u56de\u5408 53 \u5728\u6b65\u6570 27 \u5b8c\u6210\n\u56de\u5408\uff1a53\/100\uff0c\u5956\u52b1\uff1a27.00\n\u56de\u5408 54 \u5728\u6b65\u6570 24 \u5b8c\u6210\n\u56de\u5408\uff1a54\/100\uff0c\u5956\u52b1\uff1a24.00\n\u56de\u5408 55 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a55\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 56 \u5728\u6b65\u6570 13 \u5b8c\u6210\n\u56de\u5408\uff1a56\/100\uff0c\u5956\u52b1\uff1a13.00\n\u56de\u5408 57 \u5728\u6b65\u6570 10 \u5b8c\u6210\n\u56de\u5408\uff1a57\/100\uff0c\u5956\u52b1\uff1a10.00\n\u56de\u5408 58 \u5728\u6b65\u6570 44 \u5b8c\u6210\n\u56de\u5408\uff1a58\/100\uff0c\u5956\u52b1\uff1a44.00\n\u56de\u5408 59 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a59\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 60 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a60\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 61 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a61\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408 62 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a62\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 63 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a63\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 64 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a64\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 65 \u5728\u6b65\u6570 29 \u5b8c\u6210\n\u56de\u5408\uff1a65\/100\uff0c\u5956\u52b1\uff1a29.00\n\u56de\u5408 66 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a66\/100\uff0c\u5956\u52b1\uff1a19.00\n\u56de\u5408 67 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a67\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 68 \u5728\u6b65\u6570 17 \u5b8c\u6210\n\u56de\u5408\uff1a68\/100\uff0c\u5956\u52b1\uff1a17.00\n\u56de\u5408 69 \u5728\u6b65\u6570 29 \u5b8c\u6210\n\u56de\u5408\uff1a69\/100\uff0c\u5956\u52b1\uff1a29.00\n\u56de\u5408 70 \u5728\u6b65\u6570 28 \u5b8c\u6210\n\u56de\u5408\uff1a70\/100\uff0c\u5956\u52b1\uff1a28.00\n\u56de\u5408 71 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a71\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 72 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a72\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 73 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a73\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 74 \u5728\u6b65\u6570 38 \u5b8c\u6210\n\u56de\u5408\uff1a74\/100\uff0c\u5956\u52b1\uff1a38.00\n\u56de\u5408 75 \u5728\u6b65\u6570 65 \u5b8c\u6210\n\u56de\u5408\uff1a75\/100\uff0c\u5956\u52b1\uff1a65.00\n\u56de\u5408 76 \u5728\u6b65\u6570 23 \u5b8c\u6210\n\u56de\u5408\uff1a76\/100\uff0c\u5956\u52b1\uff1a23.00\n\u56de\u5408 77 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a77\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408 78 \u5728\u6b65\u6570 34 \u5b8c\u6210\n\u56de\u5408\uff1a78\/100\uff0c\u5956\u52b1\uff1a34.00\n\u56de\u5408 79 \u5728\u6b65\u6570 21 \u5b8c\u6210\n\u56de\u5408\uff1a79\/100\uff0c\u5956\u52b1\uff1a21.00\n\u56de\u5408 80 \u5728\u6b65\u6570 56 \u5b8c\u6210\n\u56de\u5408\uff1a80\/100\uff0c\u5956\u52b1\uff1a56.00\n\u56de\u5408 81 \u5728\u6b65\u6570 14 \u5b8c\u6210\n\u56de\u5408\uff1a81\/100\uff0c\u5956\u52b1\uff1a14.00\n\u56de\u5408 82 \u5728\u6b65\u6570 25 \u5b8c\u6210\n\u56de\u5408\uff1a82\/100\uff0c\u5956\u52b1\uff1a25.00\n\u56de\u5408 83 \u5728\u6b65\u6570 24 \u5b8c\u6210\n\u56de\u5408\uff1a83\/100\uff0c\u5956\u52b1\uff1a24.00\n\u56de\u5408 84 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a84\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 85 \u5728\u6b65\u6570 12 \u5b8c\u6210\n\u56de\u5408\uff1a85\/100\uff0c\u5956\u52b1\uff1a12.00\n\u56de\u5408 86 \u5728\u6b65\u6570 26 \u5b8c\u6210\n\u56de\u5408\uff1a86\/100\uff0c\u5956\u52b1\uff1a26.00\n\u56de\u5408 87 \u5728\u6b65\u6570 25 \u5b8c\u6210\n\u56de\u5408\uff1a87\/100\uff0c\u5956\u52b1\uff1a25.00\n\u56de\u5408 88 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a88\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 89 \u5728\u6b65\u6570 15 \u5b8c\u6210\n\u56de\u5408\uff1a89\/100\uff0c\u5956\u52b1\uff1a15.00\n\u56de\u5408 90 \u5728\u6b65\u6570 18 \u5b8c\u6210\n\u56de\u5408\uff1a90\/100\uff0c\u5956\u52b1\uff1a18.00\n\u56de\u5408 91 \u5728\u6b65\u6570 104 \u5b8c\u6210\n\u56de\u5408\uff1a91\/100\uff0c\u5956\u52b1\uff1a104.00\n\u56de\u5408 92 \u5728\u6b65\u6570 28 \u5b8c\u6210\n\u56de\u5408\uff1a92\/100\uff0c\u5956\u52b1\uff1a28.00\n\u56de\u5408 93 \u5728\u6b65\u6570 25 \u5b8c\u6210\n\u56de\u5408\uff1a93\/100\uff0c\u5956\u52b1\uff1a25.00\n\u56de\u5408 94 \u5728\u6b65\u6570 20 \u5b8c\u6210\n\u56de\u5408\uff1a94\/100\uff0c\u5956\u52b1\uff1a20.00\n\u56de\u5408 95 \u5728\u6b65\u6570 59 \u5b8c\u6210\n\u56de\u5408\uff1a95\/100\uff0c\u5956\u52b1\uff1a59.00\n\u56de\u5408 96 \u5728\u6b65\u6570 22 \u5b8c\u6210\n\u56de\u5408\uff1a96\/100\uff0c\u5956\u52b1\uff1a22.00\n\u56de\u5408 97 \u5728\u6b65\u6570 30 \u5b8c\u6210\n\u56de\u5408\uff1a97\/100\uff0c\u5956\u52b1\uff1a30.00\n\u56de\u5408 98 \u5728\u6b65\u6570 16 \u5b8c\u6210\n\u56de\u5408\uff1a98\/100\uff0c\u5956\u52b1\uff1a16.00\n\u56de\u5408 99 \u5728\u6b65\u6570 25 \u5b8c\u6210\n\u56de\u5408\uff1a99\/100\uff0c\u5956\u52b1\uff1a25.00\n\u56de\u5408 100 \u5728\u6b65\u6570 19 \u5b8c\u6210\n\u56de\u5408\uff1a100\/100\uff0c\u5956\u52b1\uff1a19.00\n\u5b8c\u6210\u6d4b\u8bd5<\/code><\/pre>\n<p align=\"center\">\n  <img decoding=\"async\" src=\"https:\/\/gnnclub-1311496010.cos.ap-beijing.myqcloud.com\/wp-content\/uploads\/2024\/09\/20240926210830444.png\" style=\"height:400px\">\n<\/p>\n<h2>\u751f\u6210\u5bf9\u6297\u7f51\u7edc VS \u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u7b97\u6cd5<\/h2>\n<p>\u5148\u7b80\u77ed\u56de\u987e\u4e00\u4e0b\u8fd9\u4e24\u4e2a\u6a21\u578b\u3002<\/p>\n<p><strong>\u751f\u6210\u5bf9\u6297\u7f51\u7edc\uff08GANs\uff09<\/strong><\/p>\n<ul>\n<li>\u57fa\u672c\u6982\u5ff5\uff1aGANs \u7531\u4e24\u90e8\u5206\u7ec4\u6210\uff0c\u751f\u6210\u5668\uff08Generator\uff09\u548c\u5224\u522b\u5668\uff08Discriminator\uff09\u3002\u751f\u6210\u5668\u7684\u76ee\u6807\u662f\u521b\u5efa\u903c\u771f\u7684\u6570\u636e\uff08\u5982\u56fe\u7247\uff09\uff0c\u800c\u5224\u522b\u5668\u7684\u76ee\u6807\u662f\u533a\u5206\u771f\u5b9e\u6570\u636e\u548c\u751f\u6210\u5668\u4ea7\u751f\u7684\u5047\u6570\u636e\u3002<\/li>\n<li>\u8bad\u7ec3\u6027\u8d28\uff1a\u5728GANs\u4e2d\uff0c\u751f\u6210\u5668\u548c\u5224\u522b\u5668\u5448\u5bf9\u6297\u5173\u7cfb\u3002\u751f\u6210\u5668\u5c1d\u8bd5\u6b3a\u9a97\u5224\u522b\u5668\uff0c\u800c\u5224\u522b\u5668\u52aa\u529b\u4e0d\u88ab\u6b3a\u9a97\u3002\u8fd9\u79cd\u5bf9\u6297\u8fc7\u7a0b\u4fc3\u8fdb\u4e86\u4e24\u8005\u7684\u80fd\u529b\u63d0\u5347\uff0c\u6700\u7ec8\u751f\u6210\u5668\u80fd\u4ea7\u751f\u6781\u4e3a\u903c\u771f\u7684\u6570\u636e\u3002<\/li>\n<li>\u5b66\u4e60\u673a\u5236\uff1aGANs \u7684\u5b66\u4e60\u8fc7\u7a0b\u662f\u4e00\u4e2a\u52a8\u6001\u5e73\u8861\u7684\u6e38\u620f\uff0c\u5176\u4e2d\u751f\u6210\u5668\u4e0d\u65ad\u6539\u8fdb\u5176\u751f\u6210\u7684\u6570\u636e\u4ee5\u9003\u907f\u5224\u522b\u5668\u7684\u8bc6\u522b\uff0c\u800c\u5224\u522b\u5668\u5219\u4e0d\u65ad\u63d0\u5347\u5176\u8fa8\u522b\u80fd\u529b\u3002<\/li>\n<\/ul>\n<p><strong>\u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b<\/strong><\/p>\n<ul>\n<li>\u57fa\u672c\u6982\u5ff5\uff1a\u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u7531\u4e24\u90e8\u5206\u7ec4\u6210\uff0c\u6f14\u5458\uff08Actor\uff09\u548c\u8bc4\u8bba\u5bb6\uff08Critic\uff09\u3002\u6f14\u5458\u8d1f\u8d23\u9009\u62e9\u52a8\u4f5c\uff0c\u800c\u8bc4\u8bba\u5bb6\u8bc4\u4ef7\u8fd9\u4e9b\u52a8\u4f5c\u5e76\u63d0\u4f9b\u53cd\u9988\u3002<\/li>\n<li>\u8bad\u7ec3\u6027\u8d28\uff1a\u4e0eGANs\u4e0d\u540c\uff0c\u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u4e2d\u7684\u6f14\u5458\u548c\u8bc4\u8bba\u5bb6\u662f\u5408\u4f5c\u5173\u7cfb\u3002\u8bc4\u8bba\u5bb6\u63d0\u4f9b\u7684\u53cd\u9988\u5e2e\u52a9\u6f14\u5458\u6539\u8fdb\u5176\u7b56\u7565\uff0c\u4ee5\u6b64\u4f18\u5316\u52a8\u4f5c\u9009\u62e9\u8fc7\u7a0b\u3002<\/li>\n<li>\u5b66\u4e60\u673a\u5236\uff1a\u5728\u6f14\u5458-\u8bc4\u8bba\u5bb6\u6a21\u578b\u4e2d\uff0c\u6f14\u5458\u7684\u52a8\u4f5c\u9009\u62e9\u53d7\u5230\u8bc4\u8bba\u5bb6\u63d0\u4f9b\u7684\u4ef7\u503c\u8bc4\u4f30\u6307\u5bfc\uff0c\u8bc4\u8bba\u5bb6\u57fa\u4e8e\u6f14\u5458\u7684\u8868\u73b0\u6765\u8c03\u6574\u81ea\u5df1\u7684\u4ef7\u503c\u4f30\u8ba1\u3002\u8fd9\u79cd\u673a\u5236\u6709\u52a9\u4e8e\u540c\u65f6\u4f18\u5316\u7b56\u7565\u9009\u62e9\u548c\u4ef7\u503c\u5224\u65ad\u3002<\/li>\n<\/ul>\n<h4><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=91CnU00i6HLv&format=png&color=000000\" style=\"height:50px;display:inline\"> Q1:\u4e3a\u4ec0\u4e48\u8bad\u7ec3\u6027\u8d28\u4e00\u4e2a\u662f\u5bf9\u6297\uff0c\u4e00\u4e2a\u662f\u5408\u4f5c\uff1f<\/h4>\n<h4><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/?size=100&id=91CnU00i6HLv&format=png&color=000000\" style=\"height:50px;display:inline\"> Q2:\u5230\u5e95\u662f\u5bf9\u6297\u63d0\u5347\u597d\u4e00\u4e9b\uff0c\u8fd8\u662f\u5408\u4f5c\u5171\u8d62\u597d\u4e00\u4e9b\uff1f<\/h4>\n<h2><img decoding=\"async\" src=\"https:\/\/img.icons8.com\/dusk\/64\/000000\/prize.png\" style=\"height:50px;display:inline\"> Credits<\/h2>\n<hr \/>\n<ul>\n<li>Icons made by <a href=\"https:\/\/www.flaticon.com\/authors\/becris\" title=\"Becris\">Becris<\/a> from <a href=\"https:\/\/www.flaticon.com\/\" title=\"Flaticon\">www.flaticon.com<\/a><\/li>\n<li>Icons from <a href=\"https:\/\/icons8.com\/\">Icons8.com<\/a> - <a href=\"https:\/\/icons8.com\">https:\/\/icons8.com<\/a><\/li>\n<li><a href=\"https:\/\/d2l.ai\/chapter_recurrent-neural-networks\/index.html\">Dive Into Deep Learning - Recurrent Neural Networks<\/a><\/li>\n<li><a href=\"https:\/\/atcold.github.io\/pytorch-Deep-Learning\/en\/week12\/12-1\/\">DS-GA 1008 - NYU CENTER FOR DATA SCIENCE - Deep Sequence Modeling<\/a><\/li>\n<li><a href=\"https:\/\/pytorch.org\/tutorials\/beginner\/text_sentiment_ngrams_tutorial.html\">Text classification with the torchtext library<br \/>\n<\/a><\/li>\n<li><a href=\"https:\/\/www.borealisai.com\/research-blogs\/tutorial-17-transformers-iii-training\/\">Tricks For Training Transformers - Borealis AI - P. Xu, S. Prince<\/a><\/li>\n<li><a href=\"https:\/\/taldatech.github.io\">Tal Daniel<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Deep Learning create by Arwin Yu Tutorial 09 &#8211; Deep Rei [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2215,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,24],"tags":[19],"class_list":["post-2212","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-18","category-24","tag-19"],"_links":{"self":[{"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/posts\/2212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2212"}],"version-history":[{"count":5,"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/posts\/2212\/revisions"}],"predecessor-version":[{"id":2229,"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/posts\/2212\/revisions\/2229"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/gnn.club\/index.php?rest_route=\/wp\/v2\/media\/2215"}],"wp:attachment":[{"href":"http:\/\/gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2212"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/gnn.club\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}