{"id":2261,"date":"2019-01-31T07:27:28","date_gmt":"2019-01-30T23:27:28","guid":{"rendered":"https:\/\/yanjingang.com\/blog\/?p=2261"},"modified":"2024-03-04T20:50:11","modified_gmt":"2024-03-04T12:50:11","slug":"%e5%af%b9%e6%8a%97%e5%ad%a6%e4%b9%a0%e8%b5%84%e6%96%99mark","status":"publish","type":"post","link":"https:\/\/yanjingang.com\/blog\/?p=2261","title":{"rendered":"\u5f3a\u5316\u5b66\u4e60\u4e4b\u4e0b\u68cb\u9ad8\u624b"},"content":{"rendered":"<h1>\u4e00\u3001\u6982\u8ff0<\/h1>\n<p>\u513f\u5b50\u7684\u56fd\u9645\u8c61\u68cb\u6c34\u5e73\u6e10\u957f\uff0c\u6211\u5df2\u7ecf\u9010\u6e10\u4e0b\u4e0d\u8fc7\u4ed6\u4e86\uff0c\u4f5c\u4e3a\u966a\u7ec3\u6c34\u5e73\u8fd9\u4e48\u4e0d\u582a\u600e\u4e48\u80fd\u884c\uff1f\uff01\u53ef\u662f\u81ea\u5df1\u7814\u7a76\u68cb\u8c31\u7684\u65f6\u95f4\u6709\u70b9\u5c11\uff0c\u81ea\u8ba4\u6210\u4e3a\u68cb\u534f\u5927\u5e08\u7684\u6982\u7387\u6bd4\u8f83\u4f4e\uff0c\u60f3\u6765\u60f3\u53bb\u8fd8\u662f\u53c2\u8003AlphaGo Zero\u505a\u4e2aAI\u5427\uff0c\u4e00\u65b9\u9762\u6709\u53ef\u80fd\u8bad\u7ec3\u51fa\u4e00\u4e2a\u5927\u5e08\u7ea7\u7684AI\u505a\u513f\u5b50\u7684\u966a\u7ec3\u5bf9\u68cb\u827a\u7684\u63d0\u5347\u6709\u6240\u5e2e\u52a9\uff0c\u53e6\u4e00\u65b9\u9762\u521a\u597d\u81ea\u5df1\u4e5f\u80fd\u987a\u4fbf\u5b66\u4e60\u5f3a\u5316\u5b66\u4e60\u3002<\/p>\n<p>\u672c\u6587\u4ee5\u6211\u5b66\u4e60\u4e94\u5b50\u68cb\u3001\u56fd\u9645\u8c61\u68cb\u7684\u5f3a\u5316\u5b66\u4e60\u8fc7\u7a0b\u4e3a\u4f8b\uff0c\u7ed9\u5927\u5bb6\u8bb2\u89e3\u4e00\u4e0b\u5982\u4f55\u8ba9\u673a\u5668\u5728\u4ec5\u77e5\u9053\u8d70\u5b50\u89c4\u5219\u7684\u60c5\u51b5\u4e0b\u901a\u8fc7\u81ea\u6211\u535a\u5f08\u6210\u4e3a\u4e0b\u68cb\u9ad8\u624b\u3002<\/p>\n<p>\u5e9f\u8bdd\u4e0d\u591a\u8bf4\u4e86\uff0c\u64b8\u8896\u5b50\u5f00\u5e72\uff0c\u5148\u4eceGoogle\u7684\u4e24\u7bc7\u8bba\u6587\u548c\u57fa\u7840\u6982\u5ff5\u5f00\u59cb\uff1a<\/p>\n<h3>1\u3001Google\u8bba\u6587<\/h3>\n<p>a.Mastering the game of Go with deep neural networks and tree search \u7528\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u548c\u6811\u641c\u7d22\u5f81\u670d\u56f4\u68cb<br \/>\n\u539f\u6587\uff1a<a href=\"https:\/\/www.researchgate.net\/publication\/292074166_Mastering_the_game_of_Go_with_deep_neural_networks_and_tree_search\">\u539f\u6587<\/a>\u00a0\u8bd1\u6587\uff1a<a href=\"https:\/\/blog.csdn.net\/u013390476\/article\/details\/50925347\">\u8bd1\u6587<\/a><\/p>\n<p>b.Mastering-Chess-and-Shogi-by-Self-Play-with-a-General-Reinforcement-Learning-Algorithm \u7528\u901a\u7528\u5f3a\u5316\u5b66\u4e60\u81ea\u6211\u5bf9\u5f08\uff0c\u638c\u63e1\u56fd\u9645\u8c61\u68cb\u548c\u5c06\u68cb<br \/>\n\u539f\u6587\uff1a<a href=\"https:\/\/arxiv.org\/pdf\/1712.01815.pdf\">\u539f\u6587<\/a>\u00a0 \u8bd1\u6587\uff1a<a href=\"https:\/\/charlesliuyx.github.io\/2017\/10\/18\/%E6%B7%B1%E5%85%A5%E6%B5%85%E5%87%BA%E7%9C%8B%E6%87%82AlphaGo%E5%85%83\/#%E8%AE%BA%E6%96%87%E6%AD%A3%E6%96%87%E5%86%85%E5%AE%B9%E8%AF%A6%E7%BB%86%E8%A7%A3%E6%9E%90\">\u8bd1\u6587<\/a><\/p>\n<p>&nbsp;<\/p>\n<h3>2\u3001\u5f3a\u5316\u5b66\u4e60\u539f\u7406<\/h3>\n<p>\u5f3a\u5316\u5b66\u4e60\u4efb\u52a1\u901a\u5e38\u4f7f\u7528\u9a6c\u5c14\u53ef\u592b\u51b3\u7b56\u8fc7\u7a0b\uff08Markov Decision Process\uff0c\u7b80\u79f0MDP\uff09\u6765\u63cf\u8ff0\uff0c\u5177\u4f53\u800c\u8a00\uff1a\u673a\u5668\u5904\u5728\u4e00\u4e2a\u73af\u5883\u4e2d\uff0c\u6bcf\u4e2a\u72b6\u6001\u4e3a\u673a\u5668\u5bf9\u5f53\u524d\u73af\u5883\u7684\u611f\u77e5\uff1b\u673a\u5668\u53ea\u80fd\u901a\u8fc7\u52a8\u4f5c\u6765\u5f71\u54cd\u73af\u5883\uff0c\u5f53\u673a\u5668\u6267\u884c\u4e00\u4e2a\u52a8\u4f5c\u540e\uff0c\u4f1a\u4f7f\u5f97\u73af\u5883\u6309\u67d0\u79cd\u6982\u7387\u8f6c\u79fb\u5230\u53e6\u4e00\u4e2a\u72b6\u6001\uff1b\u540c\u65f6\uff0c\u73af\u5883\u4f1a\u6839\u636e\u6f5c\u5728\u7684\u5956\u8d4f\u51fd\u6570\u53cd\u9988\u7ed9\u673a\u5668\u4e00\u4e2a\u5956\u8d4f\u3002\u7efc\u5408\u800c\u8a00\uff0c\u5f3a\u5316\u5b66\u4e60\u4e3b\u8981\u5305\u542b\u56db\u4e2a\u8981\u7d20\uff1a\u72b6\u6001\u3001\u52a8\u4f5c\u3001\u8f6c\u79fb\u6982\u7387\u4ee5\u53ca\u5956\u8d4f\u51fd\u6570\u3002<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2345\" rel=\"attachment wp-att-2345\"><img loading=\"lazy\" class=\"alignnone wp-image-2345 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mdp.png\" alt=\"\" width=\"1214\" height=\"446\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mdp.png 1214w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mdp-300x110.png 300w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mdp-768x282.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mdp-1024x376.png 1024w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mdp-624x229.png 624w\" sizes=\"(max-width: 1214px) 100vw, 1214px\" \/><\/a><\/p>\n<p>\u6839\u636e\u4e0a\u56fe\uff0cagent\uff08\u667a\u80fd\u4f53\uff09\u5728\u8fdb\u884c\u67d0\u4e2a\u4efb\u52a1\u65f6\uff0c\u9996\u5148\u4e0eenvironment\u8fdb\u884c\u4ea4\u4e92\uff0c\u4ea7\u751f\u65b0\u7684\u72b6\u6001state\uff0c\u540c\u65f6\u73af\u5883\u7ed9\u51fa\u5956\u52b1reward\uff0c\u5982\u6b64\u5faa\u73af\u4e0b\u53bb\uff0cagent\u548cenvironment\u4e0d\u65ad\u4ea4\u4e92\u4ea7\u751f\u66f4\u591a\u65b0\u7684\u6570\u636e\u3002\u5f3a\u5316\u5b66\u4e60\u7b97\u6cd5\u5c31\u662f\u901a\u8fc7\u4e00\u7cfb\u5217\u52a8\u4f5c\u7b56\u7565\u4e0e\u73af\u5883\u4ea4\u4e92\uff0c\u4ea7\u751f\u65b0\u7684\u6570\u636e\uff0c\u518d\u5229\u7528\u65b0\u7684\u6570\u636e\u53bb\u4fee\u6539\u81ea\u8eab\u7684\u52a8\u4f5c\u7b56\u7565\uff0c\u7ecf\u8fc7\u6570\u6b21\u8fed\u4ee3\u540e\uff0cagent\u5c31\u4f1a\u5b66\u4e60\u5230\u5b8c\u6210\u4efb\u52a1\u6240\u9700\u8981\u7684\u52a8\u4f5c\u7b56\u7565\u3002<\/p>\n<p>\u7279\u70b9\uff1a<\/p>\n<ul class=\"list-paddingleft-2\">\n<li>\u65e0\u7279\u5b9a\u6570\u636e\uff0c\u53ea\u6709\u5956\u52b1\u4fe1\u53f7<\/li>\n<li>\u5956\u52b1\u4fe1\u53f7\u4e0d\u4e00\u5b9a\u5b9e\u65f6<\/li>\n<li>\u4e3b\u8981\u7814\u7a76\u65f6\u95f4\u5e8f\u5217\u7684\u6570\u636e\uff0c\u800c\u4e0d\u662f\u72ec\u7acb\u540c\u5206\u5e03\u7684\u6570\u636e<\/li>\n<li>\u5f53\u524d\u884c\u4e3a\u5f71\u54cd\u540e\u7eed\u6570\u636e<\/li>\n<\/ul>\n<p>\u800c\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u4f7f\u7528\u4e86\u4e24\u4e2a\u5173\u952e\u6280\u672f\uff1a<\/p>\n<p>1\u3001\u6837\u672c\u6c60\uff08Experience Reply\uff09\uff1a\u5c06\u91c7\u96c6\u5230\u7684\u6837\u672c\u5148\u653e\u5165\u6837\u672c\u6c60\uff0c\u7136\u540e\u4ece\u6837\u672c\u6c60\u4e2d\u968f\u673a\u9009\u51fa\u4e00\u6761\u6837\u672c\u7528\u4e8e\u5bf9\u7f51\u7edc\u7684\u8bad\u7ec3\u3002\u8fd9\u79cd\u5904\u7406\u6253\u7834\u4e86\u6837\u672c\u95f4\u7684\u5173\u8054\uff0c\u4f7f\u6837\u672c\u95f4\u76f8\u4e92\u72ec\u7acb\u3002<\/p>\n<p>2\u3001\u56fa\u5b9a\u76ee\u6807\u503c\u7f51\u7edc\uff08Fixed Q-target\uff09\uff1a\u8ba1\u7b97\u7f51\u7edc\u76ee\u6807\u503c\u9700\u7528\u5230\u73b0\u6709\u7684Q\u503c\uff0c\u73b0\u7528\u4e00\u4e2a\u66f4\u65b0\u8f83\u6162\u7684\u7f51\u7edc\u4e13\u95e8\u63d0\u4f9b\u6b64Q\u503c\u3002\u8fd9\u63d0\u9ad8\u4e86\u8bad\u7ec3\u7684\u7a33\u5b9a\u6027\u548c\u6536\u655b\u6027\u3002<\/p>\n<p>DQN\u5728Atari games\u4e0a\u7528\u539f\u59cb\u50cf\u7d20\u56fe\u7247\u4f5c\u4e3a\u72b6\u6001\u8fbe\u5230\u751a\u81f3\u8d85\u8d8a\u4eba\u7c7b\u4e13\u5bb6\u7684\u8868\u73b0\u3001\u901a\u8fc7\u5de6\u53f3\u4e92\u640f\uff08self-play\uff09\u7b49\u65b9\u5f0f\u5728\u56f4\u68cb\u4e0a\u78be\u538b\u4eba\u7c7b\u3001\u5927\u5927\u964d\u4f4e\u4e86\u8c37\u6b4c\u80fd\u6e90\u4e2d\u5fc3\u7684\u80fd\u8017\u7b49\u7b49\u3002\u5f53\u7136DQN\u4e5f\u6709\u7f3a\u70b9\uff0c\u5b83\u662f\u9ad8\u7ef4\u8f93\u5165\uff0c\u4f4e\u7ef4\u8f93\u51fa\u7684\uff0c\u5f53\u6d89\u53ca\u5230\u4e00\u6b21\u6027\u8f93\u51fa\u8fde\u7eed\u52a8\u4f5c\u65f6\uff0c\u5373\u9ad8\u7ef4\u5ea6\u8f93\u51fa\uff0c\u5c31\u675f\u624b\u65e0\u7b56\u4e86\uff0cDeepMind\u4e5f\u5728\u540e\u7eed\u63d0\u51fa\u4e86DDPG\u3002<\/p>\n<p>\u6839\u636e\u524d\u9762\u77e5\u8bc6\u53ef\u4ee5\u610f\u8bc6\u5230\u5f3a\u5316\u5b66\u4e60\u672c\u8eab\u662f\u975e\u5e38\u901a\u7528\u4e86\uff0c\u667a\u80fd\u4f53\u53ef\u4ee5\u81ea\u5df1\u5b66\u4e60\uff0c\u5982\u679c\u548c\u6df1\u5ea6\u5b66\u4e60\u7ed3\u5408\u5c82\u4e0d\u662f\u4e07\u80fd\uff1f\u9519\u4e86\uff0c\u5f53\u524d\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u4e5f\u6709\u8bb8\u591a\u96be\u70b9\uff1a<\/p>\n<ol class=\"list-paddingleft-2\">\n<li>\u6837\u672c\u5229\u7528\u7387\u4f4e\uff0c\u9700\u8981\u957f\u65f6\u95f4\u8bad\u7ec3<\/li>\n<li>\u5f88\u96be\u8bbe\u8ba1\u5956\u52b1\u51fd\u6570<\/li>\n<li>\u5bf9\u73af\u5883\u8fc7\u62df\u5408\uff0c\u6bd4\u5982\u53bb\u73a9\u6253\u7816\u5757\u5f88\u64c5\u957f\uff0c\u5374\u5f88\u96be\u53bb\u9002\u5e94\u4fc4\u7f57\u65af\u65b9\u5757<\/li>\n<li>\u4e0d\u7a33\u5b9a\uff0c\u51fd\u6570\u5bf9\u53c2\u6570\u5f88\u654f\u611f\uff0c\u53c2\u6570\u7684\u53d8\u52a8\uff0c\u6a21\u578b\u4f1a\u5343\u5dee\u4e07\u522b<\/li>\n<\/ol>\n<p>\u672a\u6765\u53ef\u80fd\u65b9\u5411\uff1a<\/p>\n<ol class=\"list-paddingleft-2\">\n<li>\u4e0e\u8fc1\u79fb\u5b66\u4e60\u7ed3\u5408\uff0c\u9002\u5e94\u4e0d\u540c\u73af\u5883<\/li>\n<li>\u786c\u4ef6\u63d0\u5347<\/li>\n<li>\u878d\u5408\u66f4\u591a\u7684\u6a21\u578b\u5b66\u4e60\uff0c\u5145\u5206\u5229\u7528\u6837\u672c<\/li>\n<li>\u81ea\u4e3b\u8bbe\u5b9a\u5956\u52b1\u51fd\u6570<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<h3>3\u3001MCTS\u539f\u7406<\/h3>\n<p>mcts\u641c\u7d22\u6811\u6784\u5efa\u8fc7\u7a0b\u4e2d\u9ed1\u767d\u8d70\u5b50&amp;\u53cd\u5411\u4f20\u64ad\u793a\u610f\u56fe\uff1a<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2330\" rel=\"attachment wp-att-2330\"><img loading=\"lazy\" class=\"alignnone wp-image-2330 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts.png\" alt=\"\" width=\"720\" height=\"241\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts.png 720w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts-300x100.png 300w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts-624x209.png 624w\" sizes=\"(max-width: 720px) 100vw, 720px\" \/><\/a><\/p>\n<p>\u4e0a\u56fe\u4e2d\u6bcf\u4e2a\u8282\u70b9\u4ee3\u8868\u4e00\u4e2a\u5c40\u9762\u3002\u800c A\/B \u4ee3\u8868\u8fd9\u4e2a\u8282\u70b9\u88ab\u8bbf\u95ee B \u6b21\uff0c\u9ed1\u68cb\u80dc\u5229\u4e86 A \u6b21\u3002\u4f8b\u5982\u4e00\u5f00\u59cb\u7684\u6839\u8282\u70b9\u662f 12\/21\uff0c\u4ee3\u8868\u603b\u5171\u6a21\u62df\u4e86 21 \u6b21\uff0c\u9ed1\u68cb\u80dc\u5229\u4e86 12 \u6b21\u3002<\/p>\n<p>\u6211\u4eec\u5c06\u4e0d\u65ad\u91cd\u590d\u4e00\u4e2a\u8fc7\u7a0b\uff08\u5f88\u591a\u4e07\u6b21\uff09\uff1a<\/p>\n<ol>\n<li><b>\u9009\u62e9\uff08Selection\uff09<\/b>\u3002\u4ece\u6839\u8282\u70b9\u5f80\u4e0b\u8d70\uff0c\u6bcf\u6b21\u90fd\u9009\u4e00\u4e2a\u201c\u6700\u503c\u5f97\u770b\u7684\u5b50\u8282\u70b9\u201d\uff08\u5177\u4f53\u89c4\u5219\u7a0d\u540e\u8bf4\uff09\uff0c\u76f4\u5230\u6765\u5230\u4e00\u4e2a\u53f6\u5b50\u8282\u70b9\uff0c\u5982\u56fe\u4e2d\u7684 3\/3 \u8282\u70b9\u3002<\/li>\n<li><b>\u6269\u5c55\uff08Expansion\uff09<\/b>\uff0c\u6211\u4eec\u7ed9\u8fd9\u4e2a\u8282\u70b9\u52a0\u4e0a\u4e00\u4e2a 0\/0 \u5b50\u8282\u70b9\u3002<\/li>\n<li><b>\u6a21\u62df\uff08Simluation\uff09<\/b>\u3002\u4ece\u4e0a\u9762\u8fd9\u4e2a\u65b0\u5b50\u8282\u70b9\u5f00\u59cb\uff0c\u7528\u5feb\u901f\u8d70\u5b50\u7b56\u7565\uff08Rollout policy\uff09\u6a21\u62df\u7684\u540e\u7eed\u5bf9\u5f08\u8fc7\u7a0b\uff0c\u76f4\u5230\u535a\u5f08\u6e38\u620f\u7ed3\u675f\uff0c\u5f97\u5230\u4e00\u4e2a\u80dc\u8d1f\u7ed3\u679c\u3002\u6309\u7167\u666e\u904d\u7684\u89c2\u70b9\uff0c\u5feb\u901f\u8d70\u5b50\u7b56\u7565\u9002\u5408\u9009\u62e9\u4e00\u4e2a\u68cb\u529b\u5f88\u5f31\u4f46\u8d70\u5b50\u5f88\u5feb\u7684\u7b56\u7565\u3002\u56e0\u4e3a\u5982\u679c\u8fd9\u4e2a\u7b56\u7565\u8d70\u5f97\u6162\uff08\u6bd4\u5982\u7528 AlphaGo \u7684\u7b56\u7565\u7f51\u7edc\u8d70\u68cb\uff09\uff0c\u867d\u7136\u68cb\u529b\u4f1a\u66f4\u5f3a\uff0c\u7ed3\u679c\u4f1a\u66f4\u51c6\u786e\uff0c\u4f46\u7531\u4e8e\u8017\u65f6\u591a\u4e86\uff0c\u5728\u5355\u4f4d\u65f6\u95f4\u5185\u7684\u6a21\u62df\u6b21\u6570\u5c31\u5c11\u4e86\uff0c\u6240\u4ee5\u4e0d\u4e00\u5b9a\u4f1a\u68cb\u529b\u66f4\u5f3a\uff0c\u6709\u53ef\u80fd\u4f1a\u66f4\u5f31\u3002\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u4e00\u822c\u53ea\u6a21\u62df\u4e00\u6b21\uff0c\u56e0\u4e3a\u5982\u679c\u6a21\u62df\u591a\u6b21\uff0c\u867d\u7136\u66f4\u51c6\u786e\uff0c\u4f46\u66f4\u6162\u3002<\/li>\n<li><b>\u53cd\u5411\u4f20\u64ad\uff08Backpropagation\uff09<\/b>\u3002\u7528\u6a21\u62df\u7684\u7ed3\u679c\u8f93\u8d62\u53cd\u5411\u66f4\u65b0\u884c\u52a8\u5e8f\u5217\u8282\u70b9\u5c5e\u6027\u3002\u4f8b\u5982\u7b2c\u4e09\u6b65\u6a21\u62df\u7684\u7ed3\u679c\u662f 0\/1\uff08\u4ee3\u8868\u9ed1\u68cb\u5931\u8d25\uff09\uff0c\u90a3\u4e48\u5c31\u628a\u8fd9\u4e2a\u8282\u70b9\u7684\u6240\u6709\u7236\u8282\u70b9\u52a0\u4e0a 0\/1\u3002<\/li>\n<\/ol>\n<p>\u7eafmcts\u7684\u975e\u5bf9\u79f0\u589e\u957f\uff1a<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2332\" rel=\"attachment wp-att-2332\"><img loading=\"lazy\" class=\"alignnone wp-image-2332 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts3.png\" alt=\"\" width=\"500\" height=\"276\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts3.png 500w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/mcts3-300x166.png 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/a><\/p>\n<p>MCTS \u6267\u884c\u4e00\u79cd\u975e\u5bf9\u79f0\u7684\u6811\u7684\u9002\u5e94\u641c\u7d22\u7a7a\u95f4\u62d3\u6251\u7ed3\u6784\u7684\u589e\u957f\u3002\u8fd9\u4e2a\u7b97\u6cd5\u4f1a\u66f4\u9891\u7e41\u5730\u8bbf\u95ee\u66f4\u52a0\u6709\u8da3\u7684\u8282\u70b9\uff0c\u5e76\u805a\u7126\u5176\u641c\u7d22\u65f6\u95f4\u5728\u66f4\u52a0\u76f8\u5173\u7684\u6811\u7684\u90e8\u5206\u3002<\/p>\n<p>\u8fd9\u4f7f\u5f97 MCTS \u66f4\u52a0\u9002\u5408\u90a3\u4e9b\u6709\u7740\u66f4\u5927\u7684\u5206\u652f\u56e0\u5b50\u7684\u535a\u5f08\u6e38\u620f\uff0c\u6bd4\u5982\u8bf4 19X19 \u7684\u56f4\u68cb\u3002\u8fd9\u4e48\u5927\u7684\u7ec4\u5408\u7a7a\u95f4\u4f1a\u7ed9\u6807\u51c6\u7684\u57fa\u4e8e\u6df1\u5ea6\u6216\u8005\u5bbd\u5ea6\u7684\u641c\u7d22\u65b9\u6cd5\u5e26\u6765\u95ee\u9898\uff0c\u6240\u4ee5 MCTS \u7684\u9002\u5e94\u6027\u8bf4\u660e\u5b83\uff08\u6700\u7ec8\uff09\u53ef\u4ee5\u627e\u5230\u90a3\u4e9b\u66f4\u52a0\u4f18\u5316\u7684\u884c\u52a8\uff0c\u5e76\u5c06\u641c\u7d22\u7684\u5de5\u4f5c\u805a\u7126\u5728\u8fd9\u4e9b\u90e8\u5206\u3002<\/p>\n<p>&nbsp;<\/p>\n<h3>4\u3001\u5f3a\u5316\u5b66\u4e60\u6574\u4f53\u6d41\u7a0b<\/h3>\n<h1><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2354\" rel=\"attachment wp-att-2354\"><img loading=\"lazy\" class=\"alignnone wp-image-2354 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql.png\" alt=\"\" width=\"1440\" height=\"828\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql.png 1440w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-300x173.png 300w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-768x442.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-1024x589.png 1024w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-624x359.png 624w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" \/><\/a><\/h1>\n<p>&nbsp;<\/p>\n<h3>5\u3001\u7b56\u7565\u6a21\u578b\u4e0e\u4ef7\u503c\u6a21\u578b\u6784\u5efa<\/h3>\n<p>\u7f51\u7edc\u7ed3\u6784\u4f7f\u7528ResNet\u5377\u79ef\u7f51\u7edc+\u6b8b\u5dee\u6a21\u5757\uff0c\u4e00\u4e2a\u8f93\u5165\uff0c\u4e24\u4e2a\u8f93\u51fa\uff08\u8d70\u5b50\u6982\u7387\u7b56\u7565\u3001\u76d8\u9762\u80dc\u7387\u8bc4\u4f30\uff09\u3002<\/p>\n<p>AlphaGo\u7f51\u7edc\u7ed3\u6784\u793a\u4f8b\uff1a<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2363\" rel=\"attachment wp-att-2363\"><img loading=\"lazy\" class=\"alignnone wp-image-2363 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/net.png\" alt=\"\" width=\"2034\" height=\"382\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/net.png 2034w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/net-300x56.png 300w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/net-768x144.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/net-1024x192.png 1024w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/net-624x117.png 624w\" sizes=\"(max-width: 2034px) 100vw, 2034px\" \/><\/a><\/p>\n<p>\u56fd\u9645\u8c61\u68cb\u7684policy-value\u7f51\u7edc\u6a21\u578b\u5b9a\u4e49\uff08keras\uff09\uff1a<\/p>\n<pre class=\"pure-highlightjs\"><code class=\"\">    def create_policy_value_net(self):\r\n        \"\"\"\u521b\u5efapolicy-value\u7f51\u7edc\"\"\"\r\n        # \u8f93\u5165\u5c42\r\n        #in_x = network = Input((4, self.board_width, self.board_height))\r\n        in_x = network = Input((4, 1, self.policy_infer_size))\r\n\r\n        # conv layers\r\n        network = Conv2D(filters=32, kernel_size=(3, 3), padding=\"same\", data_format=\"channels_first\", activation=\"relu\", kernel_regularizer=l2(self.l2_const))(network)\r\n        network = Conv2D(filters=64, kernel_size=(3, 3), padding=\"same\", data_format=\"channels_first\", activation=\"relu\", kernel_regularizer=l2(self.l2_const))(network)\r\n        network = Conv2D(filters=128, kernel_size=(3, 3), padding=\"same\", data_format=\"channels_first\", activation=\"relu\", kernel_regularizer=l2(self.l2_const))(network)\r\n        # \u8d70\u5b50\u7b56\u7565 action policy layers\r\n        policy_net = Conv2D(filters=4, kernel_size=(1, 1), data_format=\"channels_first\", activation=\"relu\", kernel_regularizer=l2(self.l2_const))(network)\r\n        policy_net = Flatten()(policy_net)\r\n        # infer self.board_width * self.board_height action_probs\r\n        #self.policy_net = Dense(self.board_width * self.board_height, activation=\"softmax\", kernel_regularizer=l2(self.l2_const))(policy_net)\r\n        self.policy_net = Dense(self.policy_infer_size, activation=\"softmax\", kernel_regularizer=l2(self.l2_const))(policy_net)\r\n        # \u76d8\u9762\u4ef7\u503c state value layers\r\n        value_net = Conv2D(filters=2, kernel_size=(1, 1), data_format=\"channels_first\", activation=\"relu\", kernel_regularizer=l2(self.l2_const))(network)\r\n        value_net = Flatten()(value_net)\r\n        value_net = Dense(64, kernel_regularizer=l2(self.l2_const))(value_net)\r\n        # infer one current state score\r\n        self.value_net = Dense(1, activation=\"tanh\", kernel_regularizer=l2(self.l2_const))(value_net)\r\n\r\n        # \u521b\u5efa\u7f51\u7edc\u6a21\u578b\r\n        self.model = Model(in_x, [self.policy_net, self.value_net])\r\n\r\n        # \u8fd4\u56de\u8d70\u5b50\u7b56\u7565\u548c\u4ef7\u503c\u6982\u7387\r\n        def policy_value(state_input):\r\n            state_input_union = np.array(state_input)\r\n            #print(state_input_union)\r\n            results = self.model.predict_on_batch(state_input_union)\r\n            return results\r\n\r\n        self.policy_value = policy_value<\/code><\/pre>\n<h1><\/h1>\n<h1>\u4e8c\u3001\u5b9e\u73b0<\/h1>\n<p>\u8bad\u7ec3\u8fc7\u7a0b\u793a\u610f\u56fe\uff1a<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2353\" rel=\"attachment wp-att-2353\"><img loading=\"lazy\" class=\"alignnone wp-image-2353 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-train.png\" alt=\"\" width=\"1404\" height=\"628\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-train.png 1404w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-train-300x134.png 300w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-train-768x344.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-train-1024x458.png 1024w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-train-624x279.png 624w\" sizes=\"(max-width: 1404px) 100vw, 1404px\" \/><\/a><\/p>\n<p>\u6a21\u578b\u8bc4\u4f30\u8fc7\u7a0b\u793a\u610f\u56fe\uff1a<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2352\" rel=\"attachment wp-att-2352\"><img loading=\"lazy\" class=\"alignnone wp-image-2352 size-full\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-evaluate.png\" alt=\"\" width=\"1450\" height=\"1022\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-evaluate.png 1450w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-evaluate-300x211.png 300w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-evaluate-768x541.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-evaluate-1024x722.png 1024w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/ql-evaluate-624x440.png 624w\" sizes=\"(max-width: 1450px) 100vw, 1450px\" \/><\/a><\/p>\n<p>\u73af\u5883\uff1a<\/p>\n<pre class=\"pure-highlightjs\"><code class=\"\"># install python3.6.5\r\nwget https:\/\/repo.anaconda.com\/archive\/Anaconda3-5.2.0-Linux-x86_64.sh --no-check-certificate\r\nsh Anaconda3-5.2.0-Linux-x86_64.sh\r\n\r\n# path \r\nvim ~\/.bashrc\r\n  # python3 pip3\r\n  export PATH=\/home\/yanjingang\/python3.6.5\/bin:$PATH\r\n  # cuda8.0 cudnn5.1\r\n  export CUDA_HOME=\/home\/yanjingang\/cuda-8.0\r\n  export CUDNN_HOME=\/home\/yanjingang\/cudnn_v5.1\/cuda\/\r\n  export CUDNN_ROOT=\/home\/yanjingang\/cudnn_v5.1\/cuda\/\r\n  export PATH=${CUDA_HOME}\/bin:${PATH}\r\n  export CPATH=${CUDNN_HOME}\/include:${CUDA_HOME}\/include\r\n  export LIBRARY_PATH=${CUDA_HOME}\/lib64:${CUDNN_HOME}\/lib64:${LIBRARY_PATH}\r\n  export LD_LIBRARY_PATH=${CUDA_HOME}\/lib64:${CUDNN_HOME}\/lib64:${LD_LIBRARY_PATH}\r\n  #gpu\r\n  export CUDA_VISIBLE_DEVICES=0  #\u6307\u5b9a\u4f7f\u7528\u7b2c\u4e00\u5f20gpu\u5361(\u4e0d\u8bbe\u7f6e\u9ed8\u8ba4\u7528\u6240\u6709\u7684\u5361) nvidia-smi -l\r\n  # lang utf8\r\n  LC_ALL=en_US.UTF-8;export LC_ALL;date\r\nsource ~\/.bashrc\r\nwhich python\r\nwhich pip\r\n\r\n# lib\r\npip install --upgrade pip\r\npip install numpy opencv-python pillow python-chess pyquery xpinyin visualdl keras==2.0 tensorflow-gpu==1.2 paddlepaddle --default-timeout=1000\r\n*\u6ce8\uff1a\u672c\u673agpu\u5361\u4f7f\u7528cuda_v8.0+cudnn_v5.1\uff0c\u56e0\u6b64\u53ea\u80fd\u5b89\u88c5tensorflow-gpu1.2\uff0c\u914d\u5957keras2.0(\u5bf9\u5e94\u8868\uff1ahttps:\/\/tensorflow.google.cn\/install\/source)<\/code><\/pre>\n<p>\u4ee3\u7801\uff1a<\/p>\n<p>\u4e94\u5b50\u68cbAI\uff1ahttps:\/\/github.com\/yanjingang\/piggomoku<\/p>\n<p>\u56fd\u9645\u8c61\u68cbAI\uff1ahttps:\/\/github.com\/yanjingang\/pigchess<\/p>\n<p>&nbsp;<\/p>\n<h1>\u4e09\u3001\u5b9e\u9645\u5bf9\u6218<\/h1>\n<p><strong>\u4e94\u5b50\u68cb\uff1a<\/strong><\/p>\n<p>\u6a21\u578b\u60c5\u51b5\uff1amini-batch=512\uff0c8*8\u7684\u68cb\u76d8\uff0c2\u6838cpu\u8bad\u7ec3\u4e862\u5468\u5de6\u53f3\uff0c\u8ddf\u4eba\u7c7b\u5bf9\u6218\u53ef\u4ee5\u4fdd\u6301\u4e0d\u8d25\u3002<\/p>\n<p>\u505a\u4e2a\u5fae\u4fe1\u5c0f\u7a0b\u5e8f\u65b9\u4fbf\u6d4b\u8bd5ai\u7684\u80fd\u529b\u3002\u627e\u4e86\u51e0\u4e2a\u6bd4\u8f83\u4f1a\u4e0b\u7684\u4eba\u548c\u8fd9\u4e2aAI\u5bf9\u5f08\uff0c\u57fa\u672c\u6700\u7ec8\u90fd\u4f1a\u548c\u68cb\uff0c\u56e0\u4e3a\u68cb\u76d8\u4e0d\u591f\u5927\uff0c\u800c\u5927\u68cb\u76d8\u9700\u8981\u7684\u7b97\u529b\u592a\u5927\u4e0d\u503c\u5f53\u53bb\u8dd1\uff0c\u6bd5\u7adf\u4e94\u5b50\u68cb\u53ea\u662f\u4e3a\u4e86\u7814\u7a76\u548c\u7ec3\u624b\uff0c\u4e0b\u8fb9\u7684\u56fd\u9645\u8c61\u68cb\u624d\u662f\u6b63\u83dc\u3002\u3002\u3002<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2389\" rel=\"attachment wp-att-2389\"><img loading=\"lazy\" class=\"alignnone size-large wp-image-2389\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gomoku-1-726x1024.png\" alt=\"\" width=\"625\" height=\"882\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gomoku-1-726x1024.png 726w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gomoku-1-213x300.png 213w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gomoku-1-768x1083.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gomoku-1-624x880.png 624w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gomoku-1.png 786w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><\/a><\/p>\n<p><strong>\u56fd\u9645\u8c61\u68cb\uff1a<\/strong><\/p>\n<p>\u8bad\u7ec3\u60c5\u51b5\uff1a\u56fd\u9645\u8c61\u68cb\u56e0\u4e3a\u6bcf\u6b65\u7684\u53ef\u8d70\u5b50\u8303\u56f4\u6bd4\u8f83\u5927\uff0c\u8bad\u7ec3\u8f83\u6162\uff0c\u8dd1\u4e861\u5468\u540e\u8fd8\u5f88\u5f31\u667a\uff0c\u4e3a\u4e86\u52a0\u5feb\u901f\u5ea6\uff0c\u5728databuffer\u91cc\u52a0\u5165\u4e86top80\u56fd\u9645\u5927\u5e08\u768410w+\u5bf9\u5c40\u6570\u636e\u7528\u4e8e\u52a0\u901f\u521d\u59cb\u6a21\u578b\u8bad\u7ec3\u3002<\/p>\n<p>mini-batch=512\uff0c\u8bad\u7ec31w\u8f6e\u540e\u5c31\u4f1a\u50cf\u8ddf\u4eba\u7c7b\u5728\u4e0b\u68cb\u4e86\uff0c\u5728\u4e2a\u4eba\u6d88\u8d39\u7ea7gpu\u4e0a\u8bad\u7ec35-6\u4e2a\u6708\u5de6\u53f3\u57fa\u672c\u53ef\u4ee5\u8fbe\u5230\u5927\u5e08\u6c34\u5e73\u3002<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2385\" rel=\"attachment wp-att-2385\"><img loading=\"lazy\" class=\"alignnone wp-image-2385 size-large\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/chess-wx-672x1024.png\" alt=\"\" width=\"625\" height=\"952\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/chess-wx-672x1024.png 672w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/chess-wx-197x300.png 197w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/chess-wx-768x1171.png 768w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/chess-wx-624x951.png 624w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/chess-wx.png 854w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><\/a><\/p>\n<p>\u60f3\u4f53\u9a8c\u4e0eAI\u5bf9\u6218\u5417\uff1f\u626b\u4e0b\u8fb9\u7684\u4e8c\u7ef4\u7801\u201c\u5c0f\u732a\u56fd\u8c61AI\u201d\u5373\u53ef\u3002<\/p>\n<p><a href=\"https:\/\/yanjingang.com\/blog\/?attachment_id=2811\" rel=\"attachment wp-att-2811\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-2811\" src=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gh_844f6cf10290_430.jpg\" alt=\"\" width=\"430\" height=\"430\" srcset=\"https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gh_844f6cf10290_430.jpg 430w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gh_844f6cf10290_430-150x150.jpg 150w, https:\/\/yanjingang.com\/blog\/wp-content\/uploads\/2019\/01\/gh_844f6cf10290_430-300x300.jpg 300w\" sizes=\"(max-width: 430px) 100vw, 430px\" \/><\/a><\/p>\n<p>yan 2019.1.31 7:35<\/p>\n<p>&nbsp;<\/p>\n<h1>\u53c2\u8003\u8d44\u6599<\/h1>\n<p>Mastering the game of Go with deep neural networks and tree search<br \/>\n\u7528\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u548c\u6811\u641c\u7d22\u5f81\u670d\u56f4\u68cb<br \/>\n\u539f\u6587\uff1a<a href=\"https:\/\/www.researchgate.net\/publication\/292074166_Mastering_the_game_of_Go_with_deep_neural_networks_and_tree_search\">\u539f\u6587<\/a>\u00a0\u8bd1\u6587\uff1a<a href=\"https:\/\/blog.csdn.net\/u013390476\/article\/details\/50925347\">\u8bd1\u6587<\/a><\/p>\n<p>Mastering-Chess-and-Shogi-by-Self-Play-with-a-General-Reinforcement-Learning-Algorithm<br \/>\n\u7528\u901a\u7528\u5f3a\u5316\u5b66\u4e60\u81ea\u6211\u5bf9\u5f08\uff0c\u638c\u63e1\u56fd\u9645\u8c61\u68cb\u548c\u5c06\u68cb<br \/>\n\u539f\u6587\uff1a<a href=\"https:\/\/arxiv.org\/pdf\/1712.01815.pdf\">\u539f\u6587<\/a>\u00a0 \u8bd1\u6587\uff1a<a href=\"https:\/\/charlesliuyx.github.io\/2017\/10\/18\/%E6%B7%B1%E5%85%A5%E6%B5%85%E5%87%BA%E7%9C%8B%E6%87%82AlphaGo%E5%85%83\/#%E8%AE%BA%E6%96%87%E6%AD%A3%E6%96%87%E5%86%85%E5%AE%B9%E8%AF%A6%E7%BB%86%E8%A7%A3%E6%9E%90\">\u8bd1\u6587<\/a>\u00a0\u00a0<a href=\"http:\/\/baijiahao.baidu.com\/s?id=1586230943922316354\">\u8bd1\u6587<\/a><\/p>\n<p>\u5f3a\u5316\u5b66\u4e60\u4ecb\u7ecd<br \/>\nhttps:\/\/blog.csdn.net\/u9oo9xkm169leldr84\/article\/details\/78871371<br \/>\nhttps:\/\/mp.weixin.qq.com\/s\/pKsWoSk5qJoj1ZgqUblHWg<br \/>\nhttp:\/\/baijiahao.baidu.com\/s?id=1597978859962737001<\/p>\n<p>MCTS\u539f\u7406<br \/>\nhttps:\/\/zhuanlan.zhihu.com\/p\/25345778<br \/>\nhttps:\/\/blog.csdn.net\/amds123\/article\/details\/71038316<\/p>\n<p>\u56fd\u9645\u8c61\u68cb\u68cb\u8c31\u89c4\u8303<br \/>\nhttp:\/\/www.xqbase.com\/protocol\/pgnfen1.htm<br \/>\nhttp:\/\/www.xqbase.com\/protocol\/pgnfen2.htm<\/p>\n<p>\u7528Python\u548cKeras\u642d\u5efa\u4f60\u81ea\u5df1\u7684AlphaZero<br \/>\nhttps:\/\/jizhi.im\/blog\/post\/pytoalphazero?from=singlemessage&#038;isappinstalled=0<\/p>\n<p>\u5982\u4f55\u52a8\u624b\u6253\u9020\u5c5e\u4e8e\u81ea\u5df1\u7684AlphaGo Zero\uff1f<br \/>\nhttps:\/\/www.leiphone.com\/news\/201711\/D3vCc0jiQ9ytZAbv.html?viewType=weixin&#038;from=singlemessage&#038;isappinstalled=0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001\u6982\u8ff0 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[721,723,1293],"tags":[735,736,737,730,738,734,855,733,732,729,731],"_links":{"self":[{"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2261"}],"collection":[{"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2261"}],"version-history":[{"count":3,"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2261\/revisions"}],"predecessor-version":[{"id":8352,"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2261\/revisions\/8352"}],"wp:attachment":[{"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2261"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2261"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/yanjingang.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2261"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}