{"id":74843,"date":"2026-02-10T19:41:07","date_gmt":"2026-02-10T11:41:07","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/74843.html"},"modified":"2026-02-10T19:41:07","modified_gmt":"2026-02-10T11:41:07","slug":"%e7%ac%ac19%e7%ab%a0%ef%bc%9a%e5%be%aa%e7%8e%af%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%ef%bc%88rnn%ef%bc%89%ef%bc%9a%e5%a4%84%e7%90%86%e5%ba%8f%e5%88%97%e6%95%b0%e6%8d%ae","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/74843.html","title":{"rendered":"\u7b2c19\u7ae0\uff1a\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08RNN\uff09\uff1a\u5904\u7406\u5e8f\u5217\u6570\u636e"},"content":{"rendered":"<p>\u5728\u524d\u9762\u7684\u7ae0\u8282\u4e2d&#xff0c;\u6211\u4eec\u5b66\u4e60\u4e86\u5982\u4f55\u5904\u7406\u9759\u6001\u6570\u636e&#xff0c;\u5982\u56fe\u50cf\u5206\u7c7b&#xff08;CNN&#xff09;\u548c\u4f20\u7edf\u673a\u5668\u5b66\u4e60\u4efb\u52a1\u3002\u4f46\u73b0\u5b9e\u4e16\u754c\u4e2d&#xff0c;\u5f88\u591a\u6570\u636e\u90fd\u662f\u6709\u5e8f\u5217\u6027\u7684&#xff1a;\u65f6\u95f4\u5e8f\u5217\u6570\u636e&#xff08;\u5982\u80a1\u7968\u4ef7\u683c\u3001\u5929\u6c14&#xff09;\u3001\u6587\u672c\u6570\u636e&#xff08;\u5982\u53e5\u5b50\u3001\u6587\u6863&#xff09;\u3001\u8bed\u97f3\u6570\u636e\u7b49\u3002\u8fd9\u4e9b\u6570\u636e\u7684\u987a\u5e8f\u975e\u5e38\u91cd\u8981&#xff0c;\u524d\u4e00\u4e2a\u5143\u7d20\u5f80\u5f80\u4f1a\u5f71\u54cd\u540e\u4e00\u4e2a\u5143\u7d20\u7684\u542b\u4e49\u3002<\/p>\n<p>\u4f8b\u5982&#xff0c;\u7406\u89e3\u53e5\u5b50&#034;I 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step&#xff09;\u7684\u6982\u5ff5\u6765\u5904\u7406\u5e8f\u5217\u6570\u636e&#xff1a;<\/p>\n<li>\u65f6\u95f4\u6b65t&#061;0&#xff1a;\u8f93\u5165\u7b2c\u4e00\u4e2a\u5143\u7d20x\u2080&#xff0c;\u521d\u59cb\u5316\u9690\u85cf\u72b6\u6001h\u2080&#xff0c;\u8f93\u51fay\u2080<\/li>\n<li>\u65f6\u95f4\u6b65t&#061;1&#xff1a;\u8f93\u5165\u7b2c\u4e8c\u4e2a\u5143\u7d20x\u2081&#xff0c;\u7ed3\u5408\u4e4b\u524d\u7684\u9690\u85cf\u72b6\u6001h\u2080&#xff0c;\u8ba1\u7b97\u65b0\u7684\u9690\u85cf\u72b6\u6001h\u2081&#xff0c;\u8f93\u51fay\u2081<\/li>\n<li>\u65f6\u95f4\u6b65t&#061;2&#xff1a;\u8f93\u5165\u7b2c\u4e09\u4e2a\u5143\u7d20x\u2082&#xff0c;\u7ed3\u5408\u4e4b\u524d\u7684\u9690\u85cf\u72b6\u6001h\u2081&#xff0c;\u8ba1\u7b97\u65b0\u7684\u9690\u85cf\u72b6\u6001h\u2082&#xff0c;\u8f93\u51fay\u2082<\/li>\n<li>\u2026\u4ee5\u6b64\u7c7b\u63a8<\/li>\n<p>\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65&#xff0c;RNN\u7684\u9690\u85cf\u72b6\u6001\u4f1a\u88ab\u66f4\u65b0&#xff0c;\u5e76\u5c06\u4fe1\u606f\u4f20\u9012\u5230\u4e0b\u4e00\u4e2a\u65f6\u95f4\u6b65\u3002\u8fd9\u4f7f\u5f97RNN\u80fd\u591f\u6355\u6349\u5e8f\u5217\u4e2d\u7684\u957f\u671f\u4f9d\u8d56\u5173\u7cfb\u3002<\/p>\n<h3>RNN\u7684\u6570\u5b66\u539f\u7406<\/h3>\n<h4>RNN\u7684\u524d\u5411\u4f20\u64ad<\/h4>\n<p>RNN\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u8ba1\u7b97\u53ef\u4ee5\u5206\u4e3a\u4e09\u4e2a\u6b65\u9aa4&#xff1a;<\/p>\n<p>\u6b65\u9aa41&#xff1a;\u8ba1\u7b97\u65b0\u7684\u9690\u85cf\u72b6\u6001<\/p>\n<p>h\u209c &#061; tanh(W_hh \u00b7 h\u209c\u208b\u2081 &#043; W_xh \u00b7 x\u209c &#043; b_h)<\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>h\u209c&#xff1a;\u5f53\u524d\u65f6\u95f4\u6b65t\u7684\u9690\u85cf\u72b6\u6001<\/li>\n<li>h\u209c\u208b\u2081&#xff1a;\u4e0a\u4e00\u4e2a\u65f6\u95f4\u6b65\u7684\u9690\u85cf\u72b6\u6001<\/li>\n<li>x\u209c&#xff1a;\u5f53\u524d\u65f6\u95f4\u6b65\u7684\u8f93\u5165<\/li>\n<li>W_hh&#xff1a;\u9690\u85cf\u72b6\u6001\u5230\u9690\u85cf\u72b6\u6001\u7684\u6743\u91cd\u77e9\u9635<\/li>\n<li>W_xh&#xff1a;\u8f93\u5165\u5230\u9690\u85cf\u72b6\u6001\u7684\u6743\u91cd\u77e9\u9635<\/li>\n<li>b_h&#xff1a;\u9690\u85cf\u72b6\u6001\u7684\u504f\u7f6e\u9879<\/li>\n<li>tanh&#xff1a;\u6fc0\u6d3b\u51fd\u6570&#xff0c;\u5c06\u503c\u538b\u7f29\u5230-1\u52301\u4e4b\u95f4<\/li>\n<\/ul>\n<p>\u6b65\u9aa42&#xff1a;\u8ba1\u7b97\u8f93\u51fa<\/p>\n<p>y\u209c &#061; W_hy \u00b7 h\u209c &#043; b_y<\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>y\u209c&#xff1a;\u5f53\u524d\u65f6\u95f4\u6b65\u7684\u8f93\u51fa<\/li>\n<li>W_hy&#xff1a;\u9690\u85cf\u72b6\u6001\u5230\u8f93\u51fa\u7684\u6743\u91cd\u77e9\u9635<\/li>\n<li>b_y&#xff1a;\u8f93\u51fa\u7684\u504f\u7f6e\u9879<\/li>\n<\/ul>\n<p>\u6b65\u9aa43&#xff1a;\u8ba1\u7b97\u635f\u5931<\/p>\n<p>L\u209c &#061; Loss(y\u209c, \u0177\u209c)<\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>\u0177\u209c&#xff1a;\u771f\u5b9e\u7684\u76ee\u6807\u503c<\/li>\n<li>L\u209c&#xff1a;\u5f53\u524d\u65f6\u95f4\u6b65\u7684\u635f\u5931<\/li>\n<\/ul>\n<p>\u603b\u635f\u5931\u662f\u6240\u6709\u65f6\u95f4\u6b65\u635f\u5931\u7684\u5e73\u5747\u503c&#xff1a;<\/p>\n<p>L &#061; (1\/T) \u00b7 \u03a3\u209c L\u209c<\/p>\n<h4>RNN\u7684\u9690\u85cf\u72b6\u6001&#xff1a;\u4fe1\u606f\u7684\u8f7d\u4f53<\/h4>\n<p>\u9690\u85cf\u72b6\u6001h\u209c\u662fRNN\u7684\u6838\u5fc3&#xff0c;\u5b83\u627f\u62c5\u7740&#034;\u8bb0\u5fc6&#034;\u7684\u89d2\u8272\u3002\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65&#xff0c;\u9690\u85cf\u72b6\u6001\u88ab\u66f4\u65b0\u5e76\u4f20\u9012&#xff1a;<\/p>\n<ul>\n<li>h\u209c\u4e0d\u4ec5\u5305\u542b\u4e86\u5f53\u524d\u8f93\u5165x\u209c\u7684\u4fe1\u606f<\/li>\n<li>\u8fd8\u5305\u542b\u4e86\u4e4b\u524d\u6240\u6709\u5386\u53f2\u4fe1\u606f&#xff08;\u901a\u8fc7h\u209c\u208b\u2081\u4f20\u9012&#xff09;<\/li>\n<li>\u5c31\u50cf\u4e00\u4e2a\u4e0d\u65ad\u7d2f\u79ef\u4fe1\u606f\u7684\u5bb9\u5668<\/li>\n<\/ul>\n<p>\u5047\u8bbe\u6211\u4eec\u8981\u5904\u7406\u4e00\u4e2a\u6587\u672c\u5e8f\u5217&#034;apple banana orange&#034;&#xff1a;<\/p>\n<li>t&#061;0&#xff1a;\u8f93\u5165&#034;apple&#034;&#xff0c;h\u2080\u8bb0\u5f55\u4e86&#034;apple&#034;\u7684\u4fe1\u606f<\/li>\n<li>t&#061;1&#xff1a;\u8f93\u5165&#034;banana&#034;&#xff0c;h\u2081\u7ed3\u5408\u4e86&#034;apple&#034;\u548c&#034;banana&#034;\u7684\u4fe1\u606f<\/li>\n<li>t&#061;2&#xff1a;\u8f93\u5165&#034;orange&#034;&#xff0c;h\u2082\u7ed3\u5408\u4e86&#034;apple&#034;\u3001&#034;banana&#034;\u548c&#034;orange&#034;\u7684\u4fe1\u606f<\/li>\n<p>\u6700\u7ec8&#xff0c;h\u2082\u5305\u542b\u4e86\u6574\u4e2a\u5e8f\u5217\u7684\u4fe1\u606f\u3002<\/p>\n<h4>RNN\u7684\u6743\u91cd\u5171\u4eab\u673a\u5236<\/h4>\n<p>\u4e0e\u4f20\u7edf\u795e\u7ecf\u7f51\u7edc\u4e0d\u540c&#xff0c;RNN\u5728\u4e0d\u540c\u65f6\u95f4\u6b65\u4f7f\u7528\u76f8\u540c\u7684\u6743\u91cd\u77e9\u9635&#xff1a;<\/p>\n<ul>\n<li>W_hh\u3001W_xh\u3001W_hy\u5728\u6574\u4e2a\u5e8f\u5217\u7684\u6240\u6709\u65f6\u95f4\u6b65\u90fd\u662f\u76f8\u540c\u7684<\/li>\n<li>\u8fd9\u610f\u5473\u7740RNN\u5728\u5904\u7406\u5e8f\u5217\u7684\u6bcf\u4e2a\u4f4d\u7f6e\u65f6&#xff0c;\u4f7f\u7528\u7684\u662f\u76f8\u540c\u7684\u53d8\u6362\u89c4\u5219<\/li>\n<li>\u8fd9\u79cd\u53c2\u6570\u5171\u4eab\u5927\u5927\u51cf\u5c11\u4e86\u6a21\u578b\u53c2\u6570\u6570\u91cf&#xff0c;\u4f7f\u5f97\u6a21\u578b\u80fd\u591f\u5904\u7406\u4efb\u610f\u957f\u5ea6\u7684\u5e8f\u5217<\/li>\n<\/ul>\n<p>\u8fd9\u662fRNN\u7684\u4e00\u4e2a\u5173\u952e\u4f18\u52bf&#xff1a;\u65e0\u8bba\u8f93\u5165\u5e8f\u5217\u957f\u5ea6\u662f10\u8fd8\u662f1000&#xff0c;RNN\u90fd\u53ef\u4ee5\u5904\u7406&#xff0c;\u56e0\u4e3a\u53c2\u6570\u6570\u91cf\u662f\u56fa\u5b9a\u7684\u3002<\/p>\n<h3>RNN\u7684\u7c7b\u578b<\/h3>\n<p>\u6839\u636e\u8f93\u5165\u548c\u8f93\u51fa\u5e8f\u5217\u7684\u4e0d\u540c&#xff0c;RNN\u53ef\u4ee5\u5206\u4e3a\u56db\u79cd\u7c7b\u578b&#xff1a;<\/p>\n<h4>1. \u4e00\u5bf9\u4e00&#xff08;One-to-One&#xff09;<\/h4>\n<p>\u8fd9\u662f\u6700\u7b80\u5355\u7684\u60c5\u51b5&#xff0c;\u8f93\u5165\u548c\u8f93\u51fa\u90fd\u662f\u5355\u4e00\u5143\u7d20\u3002\u5b9e\u9645\u4e0a\u8fd9\u7b49\u4ef7\u4e8e\u4f20\u7edf\u7684\u795e\u7ecf\u7f51\u7edc&#xff0c;\u4e0d\u662f\u771f\u6b63\u7684\u5e8f\u5217\u5904\u7406\u3002<\/p>\n<p>\u4f8b\u5b50&#xff1a;\u56fe\u50cf\u5206\u7c7b<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u4e00\u5f20\u56fe\u7247<\/li>\n<li>\u8f93\u51fa&#xff1a;\u7c7b\u522b\u6807\u7b7e<\/li>\n<\/ul>\n<h4>2. \u4e00\u5bf9\u591a&#xff08;One-to-Many&#xff09;<\/h4>\n<p>\u8f93\u5165\u662f\u5355\u4e00\u5143\u7d20&#xff0c;\u8f93\u51fa\u662f\u4e00\u4e2a\u5e8f\u5217\u3002<\/p>\n<p>\u4f8b\u5b501&#xff1a;\u56fe\u50cf\u63cf\u8ff0\u751f\u6210<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u4e00\u5f20\u56fe\u7247<\/li>\n<li>\u8f93\u51fa&#xff1a;\u63cf\u8ff0\u56fe\u7247\u7684\u53e5\u5b50&#xff08;\u201c\u4e00\u53ea\u732b\u5750\u5728\u684c\u5b50\u4e0a\u201d&#xff09;<\/li>\n<\/ul>\n<p>\u4f8b\u5b502&#xff1a;\u97f3\u4e50\u751f\u6210<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u8d77\u59cb\u97f3\u7b26<\/li>\n<li>\u8f93\u51fa&#xff1a;\u5b8c\u6574\u7684\u65cb\u5f8b<\/li>\n<\/ul>\n<h4>3. \u591a\u5bf9\u4e00&#xff08;Many-to-One&#xff09;<\/h4>\n<p>\u8f93\u5165\u662f\u4e00\u4e2a\u5e8f\u5217&#xff0c;\u8f93\u51fa\u662f\u5355\u4e00\u5143\u7d20\u3002<\/p>\n<p>\u4f8b\u5b501&#xff1a;\u60c5\u611f\u5206\u6790<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u4e00\u4e2a\u53e5\u5b50&#xff08;\u201c\u8fd9\u90e8\u7535\u5f71\u975e\u5e38\u7cbe\u5f69&#xff01;\u201d&#xff09;<\/li>\n<li>\u8f93\u51fa&#xff1a;\u60c5\u611f\u7c7b\u522b&#xff08;\u6b63\u9762\/\u8d1f\u9762\/\u4e2d\u6027&#xff09;<\/li>\n<\/ul>\n<p>\u4f8b\u5b502&#xff1a;\u6587\u672c\u5206\u7c7b<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u4e00\u7bc7\u6587\u7ae0<\/li>\n<li>\u8f93\u51fa&#xff1a;\u6587\u7ae0\u7c7b\u522b&#xff08;\u4f53\u80b2\/\u5a31\u4e50\/\u79d1\u6280&#xff09;<\/li>\n<\/ul>\n<h4>4. \u591a\u5bf9\u591a&#xff08;Many-to-Many&#xff09;<\/h4>\n<p>\u8f93\u5165\u548c\u8f93\u51fa\u90fd\u662f\u5e8f\u5217&#xff0c;\u53c8\u53ef\u4ee5\u7ec6\u5206\u4e3a\u4e24\u79cd\u60c5\u51b5&#xff1a;<\/p>\n<p>\u60c5\u51b51&#xff1a;\u540c\u6b65\u591a\u5bf9\u591a \u6bcf\u4e2a\u8f93\u5165\u65f6\u95f4\u6b65\u90fd\u6709\u5bf9\u5e94\u7684\u8f93\u51fa\u3002<\/p>\n<p>\u4f8b\u5b50&#xff1a;\u5e8f\u5217\u6807\u6ce8<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;[\u201cI\u201d, \u201clove\u201d, \u201cmachine\u201d, \u201clearning\u201d]<\/li>\n<li>\u8f93\u51fa&#xff1a;[\u201c\u540d\u8bcd\u201d, \u201c\u52a8\u8bcd\u201d, \u201c\u540d\u8bcd\u201d, \u201c\u540d\u8bcd\u201d]<\/li>\n<\/ul>\n<p>\u60c5\u51b52&#xff1a;\u5f02\u6b65\u591a\u5bf9\u591a \u8f93\u51fa\u5e8f\u5217\u7684\u5f00\u59cb\u65f6\u95f4\u53ef\u80fd\u665a\u4e8e\u8f93\u5165\u5e8f\u5217\u3002<\/p>\n<p>\u4f8b\u5b50&#xff1a;\u673a\u5668\u7ffb\u8bd1<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u4e2d\u6587\u53e5\u5b50&#xff08;\u201c\u6211\u7231\u4f60\u201d&#xff09;<\/li>\n<li>\u8f93\u51fa&#xff1a;\u82f1\u6587\u53e5\u5b50&#xff08;\u201cI love you\u201d&#xff09;<\/li>\n<\/ul>\n<h4>RNN\u7684&#034;\u5c55\u5f00&#034;\u8868\u793a<\/h4>\n<p>\u4e3a\u4e86\u7406\u89e3RNN\u7684\u5de5\u4f5c\u539f\u7406&#xff0c;\u6211\u4eec\u53ef\u4ee5\u5c06RNN\u6309\u65f6\u95f4&#034;\u5c55\u5f00&#034;&#xff1a;<\/p>\n<p>\u65f6\u95f4\u6b65\u5c55\u5f00\u89c6\u56fe&#xff1a;<br \/>\n\u8f93\u5165&#xff1a;  x\u2080    x\u2081    x\u2082    &#8230;    x\u209c<br \/>\n        |     |     |           |<br \/>\n        v     v     v           v<br \/>\n      \u250c\u2500\u2500\u2500\u2510 \u250c\u2500\u2500\u2500\u2510 \u250c\u2500\u2500\u2500\u2510       \u250c\u2500\u2500\u2500\u2510<br \/>\n      \u2502RNN\u2502\u2500\u2502RNN\u2502\u2500\u2502RNN\u2502\u2500&#8230;\u2500\u2500\u2502RNN\u2502<br \/>\n      \u2514\u2500\u2500\u2500\u2518 \u2514\u2500\u2500\u2500\u2518 \u2514\u2500\u2500\u2500\u2518       \u2514\u2500\u2500\u2500\u2518<br \/>\n        |     |     |           |<br \/>\n        v     v     v           v<br \/>\n\u8f93\u51fa&#xff1a;  y\u2080    y\u2081    y\u2082    &#8230;    y\u209c<\/p>\n<p>\u4ece\u8fd9\u4e2a\u5c55\u5f00\u89c6\u56fe\u53ef\u4ee5\u770b\u51fa&#xff1a;<\/p>\n<ul>\n<li>\u6bcf\u4e2a\u65f6\u95f4\u6b65\u90fd\u6709\u4e00\u4e2aRNN\u5355\u5143<\/li>\n<li>\u524d\u4e00\u4e2aRNN\u5355\u5143\u7684\u9690\u85cf\u72b6\u6001\u4f20\u9012\u7ed9\u4e0b\u4e00\u4e2aRNN\u5355\u5143<\/li>\n<li>\u6240\u6709RNN\u5355\u5143\u5171\u4eab\u76f8\u540c\u7684\u6743\u91cd\u53c2\u6570<\/li>\n<\/ul>\n<p>\u8fd9\u79cd\u5c55\u5f00\u8868\u793a\u5728\u8bad\u7ec3\u65f6\u7279\u522b\u6709\u7528&#xff0c;\u56e0\u4e3a\u5b83\u5c06RNN\u8f6c\u6362\u4e3a\u4e00\u4e2a\u6df1\u5ea6\u7f51\u7edc&#xff0c;\u53ef\u4ee5\u4f7f\u7528\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u8fdb\u884c\u8bad\u7ec3\u3002<\/p>\n<h3>RNN\u7684\u8bad\u7ec3<\/h3>\n<h4>\u53cd\u5411\u4f20\u64ad\u901a\u8fc7\u65f6\u95f4&#xff08;BPTT&#xff09;<\/h4>\n<p>\u8bad\u7ec3RNN\u4f7f\u7528\u7684\u662f**\u53cd\u5411\u4f20\u64ad\u901a\u8fc7\u65f6\u95f4&#xff08;Backpropagation Through Time&#xff0c;BPTT&#xff09;**\u7b97\u6cd5\u3002\u5b83\u662f\u53cd\u5411\u4f20\u64ad\u7b97\u6cd5\u5728\u5e8f\u5217\u6570\u636e\u4e0a\u7684\u6269\u5c55\u3002<\/p>\n<p>BPTT\u7684\u6b65\u9aa4&#xff1a;<\/p>\n<li>\u524d\u5411\u4f20\u64ad&#xff1a;\u4ecet&#061;0\u5230t&#061;T&#xff0c;\u4f9d\u6b21\u8ba1\u7b97\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u9690\u85cf\u72b6\u6001\u548c\u8f93\u51fa<\/li>\n<li>\u8ba1\u7b97\u635f\u5931&#xff1a;\u8ba1\u7b97\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u635f\u5931&#xff0c;\u5e76\u6c42\u5e73\u5747\u5f97\u5230\u603b\u635f\u5931<\/li>\n<li>\u53cd\u5411\u4f20\u64ad&#xff1a;\u4ecet&#061;T\u5230t&#061;0&#xff0c;\u4f9d\u6b21\u8ba1\u7b97\u68af\u5ea6&#xff1a;\n<ul>\n<li>\u8ba1\u7b97\u8f93\u51fa\u5c42\u7684\u68af\u5ea6<\/li>\n<li>\u901a\u8fc7\u65f6\u95f4\u53cd\u5411\u4f20\u64ad&#xff0c;\u8ba1\u7b97\u9690\u85cf\u72b6\u6001\u7684\u68af\u5ea6<\/li>\n<li>\u66f4\u65b0\u6743\u91cd\u53c2\u6570<\/li>\n<\/ul>\n<\/li>\n<h4>BPTT\u7684\u68af\u5ea6\u95ee\u9898<\/h4>\n<p>\u5728BPTT\u4e2d&#xff0c;\u68af\u5ea6\u9700\u8981\u901a\u8fc7\u65f6\u95f4\u53cd\u5411\u4f20\u64ad&#xff0c;\u8fd9\u4f1a\u5bfc\u81f4\u4e24\u4e2a\u4e25\u91cd\u95ee\u9898&#xff1a;<\/p>\n<p>\u95ee\u98981&#xff1a;\u68af\u5ea6\u6d88\u5931&#xff08;Vanishing Gradient&#xff09;<\/p>\n<p>\u5f53\u5e8f\u5217\u5f88\u957f\u65f6&#xff0c;\u68af\u5ea6\u5728\u53cd\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\u4f1a\u4e0d\u65ad\u4e58\u4ee5\u5c0f\u4e8e1\u7684\u6570&#xff08;\u5982tanh\u7684\u5bfc\u6570&#xff09;&#xff0c;\u5bfc\u81f4\u68af\u5ea6\u53d8\u5f97\u975e\u5e38\u5c0f\u3002<\/p>\n<p>\u540e\u679c&#xff1a;<\/p>\n<ul>\n<li>\u65e9\u671f\u7684\u9690\u85cf\u72b6\u6001\u5bf9\u6700\u7ec8\u8f93\u51fa\u7684\u5f71\u54cd\u51e0\u4e4e\u4e3a\u96f6<\/li>\n<li>RNN\u65e0\u6cd5\u5b66\u4e60\u5230\u957f\u8ddd\u79bb\u7684\u4f9d\u8d56\u5173\u7cfb<\/li>\n<li>\u7f51\u7edc\u53ea\u80fd\u8bb0\u4f4f\u6700\u8fd1\u51e0\u6b65\u7684\u4fe1\u606f<\/li>\n<\/ul>\n<p>\u4f8b\u5b50&#xff1a; \u8003\u8651\u53e5\u5b50&#034;The man, who \u2026 [\u5f88\u591a\u8bcd] \u2026, turned out to be my father.&#034;<\/p>\n<p>\u5982\u679c\u68af\u5ea6\u6d88\u5931&#xff0c;RNN\u5728\u5904\u7406&#034;father&#034;\u65f6&#xff0c;\u53ef\u80fd\u5df2\u7ecf\u5fd8\u8bb0\u4e86&#034;man&#034;\u7684\u4fe1\u606f&#xff0c;\u5bfc\u81f4\u65e0\u6cd5\u6b63\u786e\u7406\u89e3\u53e5\u5b50\u3002<\/p>\n<p>\u95ee\u98982&#xff1a;\u68af\u5ea6\u7206\u70b8&#xff08;Exploding Gradient&#xff09;<\/p>\n<p>\u76f8\u53cd&#xff0c;\u68af\u5ea6\u5728\u53cd\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u4e0d\u65ad\u4e58\u4ee5\u5927\u4e8e1\u7684\u6570&#xff0c;\u5bfc\u81f4\u68af\u5ea6\u53d8\u5f97\u975e\u5e38\u5927\u3002<\/p>\n<p>\u540e\u679c&#xff1a;<\/p>\n<ul>\n<li>\u53c2\u6570\u66f4\u65b0\u5e45\u5ea6\u8fc7\u5927&#xff0c;\u5bfc\u81f4\u7f51\u7edc\u4e0d\u7a33\u5b9a<\/li>\n<li>\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u635f\u5931\u51fd\u6570\u53ef\u80fd\u51fa\u73b0NaN&#xff08;Not a Number&#xff09;<\/li>\n<li>\u6a21\u578b\u65e0\u6cd5\u6536\u655b<\/li>\n<\/ul>\n<p>\u89e3\u51b3\u65b9\u6cd5&#xff1a;<\/p>\n<ul>\n<li>\u68af\u5ea6\u88c1\u526a&#xff08;Gradient Clipping&#xff09;&#xff1a;\u9650\u5236\u68af\u5ea6\u7684\u6700\u5927\u503c<\/li>\n<li>\u66f4\u597d\u7684\u6fc0\u6d3b\u51fd\u6570&#xff1a;\u4f7f\u7528ReLU\u7b49\u907f\u514d\u68af\u5ea6\u6d88\u5931<\/li>\n<li>\u66f4\u597d\u7684\u7f51\u7edc\u67b6\u6784&#xff1a;\u4f7f\u7528LSTM\u3001GRU\u7b49\u6539\u8fdb\u7684RNN\u67b6\u6784&#xff08;\u4e0b\u4e00\u7ae0\u8be6\u7ec6\u4ecb\u7ecd&#xff09;<\/li>\n<\/ul>\n<h3>RNN\u7684\u5b9e\u9645\u5e94\u7528<\/h3>\n<h4>\u5e94\u75281&#xff1a;\u6587\u672c\u751f\u6210<\/h4>\n<p>RNN\u53ef\u4ee5\u7528\u4e8e\u751f\u6210\u6587\u672c&#xff0c;\u901a\u8fc7\u5b66\u4e60\u5927\u91cf\u6587\u672c\u6570\u636e&#xff0c;\u7136\u540e\u6839\u636e\u524d\u9762\u7684\u5185\u5bb9\u9884\u6d4b\u4e0b\u4e00\u4e2a\u8bcd\u3002<\/p>\n<p>\u4f8b\u5b50&#xff1a;\u751f\u6210\u53e4\u8bd7<\/p>\n<p>\u8f93\u5165&#xff1a;\u201c\u5e8a\u524d\u660e\u6708\u5149\u201d \u8f93\u51fa&#xff1a;\u201c\u7591\u662f\u5730\u4e0a\u971c\u201d<\/p>\n<p>RNN\u5b66\u4f1a\u4e86\u53e4\u8bd7\u7684\u89c4\u5f8b\u548c\u98ce\u683c&#xff0c;\u80fd\u591f\u6839\u636e\u524d\u534a\u53e5\u751f\u6210\u5408\u7406\u7684\u540e\u534a\u53e5\u3002<\/p>\n<h4>\u5e94\u75282&#xff1a;\u8bed\u97f3\u8bc6\u522b<\/h4>\n<p>\u5c06\u8bed\u97f3\u4fe1\u53f7&#xff08;\u97f3\u9891\u5e8f\u5217&#xff09;\u8f6c\u6362\u4e3a\u6587\u672c\u3002<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u97f3\u9891\u4fe1\u53f7\u5e8f\u5217<\/li>\n<li>\u8f93\u51fa&#xff1a;\u6587\u672c\u5e8f\u5217<\/li>\n<\/ul>\n<p>RNN&#xff08;\u6216\u5176\u53d8\u4f53&#xff09;\u80fd\u591f\u6355\u6349\u8bed\u97f3\u4e2d\u7684\u65f6\u95f4\u4f9d\u8d56\u5173\u7cfb&#xff0c;\u51c6\u786e\u8bc6\u522b\u8fde\u7eed\u7684\u8bed\u97f3\u3002<\/p>\n<h4>\u5e94\u75283&#xff1a;\u673a\u5668\u7ffb\u8bd1<\/h4>\n<p>\u5c06\u4e00\u79cd\u8bed\u8a00\u7684\u6587\u672c\u7ffb\u8bd1\u6210\u53e6\u4e00\u79cd\u8bed\u8a00\u3002<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u4e2d\u6587\u53e5\u5b50&#xff08;\u201c\u4eba\u5de5\u667a\u80fd\u6b63\u5728\u6539\u53d8\u4e16\u754c\u201d&#xff09;<\/li>\n<li>\u8f93\u51fa&#xff1a;\u82f1\u6587\u53e5\u5b50&#xff08;\u201cAI is changing the world\u201d&#xff09;<\/li>\n<\/ul>\n<p>\u73b0\u4ee3\u673a\u5668\u7ffb\u8bd1\u7cfb\u7edf\u901a\u5e38\u4f7f\u7528\u66f4\u590d\u6742\u7684\u67b6\u6784&#xff08;\u5982Transformer&#xff09;&#xff0c;\u4f46RNN\u4ecd\u7136\u662f\u7406\u89e3\u5e8f\u5217\u5efa\u6a21\u7684\u57fa\u7840\u3002<\/p>\n<h4>\u5e94\u75284&#xff1a;\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b<\/h4>\n<p>\u9884\u6d4b\u672a\u6765\u7684\u6570\u503c\u5e8f\u5217&#xff0c;\u5982\u80a1\u7968\u4ef7\u683c\u3001\u5929\u6c14\u3001\u4ea4\u901a\u6d41\u91cf\u7b49\u3002<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u8fc7\u53bbN\u5929\u7684\u80a1\u7968\u4ef7\u683c<\/li>\n<li>\u8f93\u51fa&#xff1a;\u660e\u5929\u7684\u80a1\u7968\u4ef7\u683c<\/li>\n<\/ul>\n<p>RNN\u80fd\u591f\u6355\u6349\u65f6\u95f4\u5e8f\u5217\u4e2d\u7684\u8d8b\u52bf\u548c\u6a21\u5f0f&#xff0c;\u8fdb\u884c\u51c6\u786e\u7684\u9884\u6d4b\u3002<\/p>\n<h4>\u5e94\u75285&#xff1a;\u97f3\u4e50\u751f\u6210<\/h4>\n<p>\u6839\u636e\u524d\u9762\u7684\u97f3\u7b26\u5e8f\u5217\u751f\u6210\u65b0\u7684\u97f3\u4e50\u3002<\/p>\n<ul>\n<li>\u8f93\u5165&#xff1a;\u65cb\u5f8b\u7684\u5f00\u59cb\u90e8\u5206<\/li>\n<li>\u8f93\u51fa&#xff1a;\u5b8c\u6574\u7684\u97f3\u4e50<\/li>\n<\/ul>\n<p>RNN\u5b66\u4e60\u4e86\u97f3\u4e50\u7684\u7ed3\u6784\u548c\u6a21\u5f0f&#xff0c;\u80fd\u591f\u751f\u6210\u8fde\u8d2f\u7684\u97f3\u4e50\u4f5c\u54c1\u3002<\/p>\n<h3>RNN\u7684\u5b9e\u73b0&#xff08;PyTorch&#xff09;<\/h3>\n<h4>\u73af\u5883\u51c6\u5907<\/h4>\n<p>\u9996\u5148&#xff0c;\u786e\u4fdd\u5df2\u5b89\u88c5\u5fc5\u8981\u7684\u5e93&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> torch<br \/>\n<span class=\"token keyword\">import<\/span> torch<span class=\"token punctuation\">.<\/span>nn <span class=\"token keyword\">as<\/span> nn<br \/>\n<span class=\"token keyword\">import<\/span> torch<span class=\"token punctuation\">.<\/span>optim <span class=\"token keyword\">as<\/span> optim<br \/>\n<span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np<br \/>\n<span class=\"token keyword\">import<\/span> matplotlib<span class=\"token punctuation\">.<\/span>pyplot <span class=\"token keyword\">as<\/span> plt<br \/>\n<span class=\"token keyword\">from<\/span> torch<span class=\"token punctuation\">.<\/span>utils<span class=\"token punctuation\">.<\/span>data <span class=\"token keyword\">import<\/span> DataLoader<span class=\"token punctuation\">,<\/span> TensorDataset<\/p>\n<p><span class=\"token comment\"># \u68c0\u67e5CUDA<\/span><br \/>\ndevice <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>device<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;cuda&#039;<\/span> <span class=\"token keyword\">if<\/span> torch<span class=\"token punctuation\">.<\/span>cuda<span class=\"token punctuation\">.<\/span>is_available<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token string\">&#039;cpu&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u4f7f\u7528\u8bbe\u5907: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>device<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8bbe\u7f6e\u968f\u673a\u79cd\u5b50<\/span><br \/>\ntorch<span class=\"token punctuation\">.<\/span>manual_seed<span class=\"token punctuation\">(<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">)<\/span><br \/>\nnp<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>seed<span class=\"token punctuation\">(<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u7b80\u5355RNN\u793a\u4f8b&#xff1a;\u5e8f\u5217\u9884\u6d4b<\/h4>\n<p>\u8ba9\u6211\u4eec\u7528RNN\u6765\u89e3\u51b3\u4e00\u4e2a\u7b80\u5355\u7684\u5e8f\u5217\u9884\u6d4b\u95ee\u9898&#xff1a;\u7ed9\u5b9a\u4e00\u4e2a\u6b63\u5f26\u6ce2&#xff0c;\u9884\u6d4b\u4e0b\u4e00\u4e2a\u70b9\u3002<\/p>\n<p><span class=\"token comment\"># \u751f\u6210\u6b63\u5f26\u6ce2\u6570\u636e<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">generate_sine_wave<\/span><span class=\"token punctuation\">(<\/span>seq_len<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1000<\/span><span class=\"token punctuation\">,<\/span> freq<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    x <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>arange<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> seq_len<span class=\"token punctuation\">)<\/span><br \/>\n    y <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>sin<span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">*<\/span> freq<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> y<\/p>\n<p><span class=\"token comment\"># \u751f\u6210\u6570\u636e<\/span><br \/>\ndata <span class=\"token operator\">&#061;<\/span> generate_sine_wave<span class=\"token punctuation\">(<\/span>seq_len<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1000<\/span><span class=\"token punctuation\">,<\/span> freq<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.1<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u53ef\u89c6\u5316\u6570\u636e<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>figure<span class=\"token punctuation\">(<\/span>figsize<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">12<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>data<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">200<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>title<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u6b63\u5f26\u6ce2\u6570\u636e&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>xlabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u65f6\u95f4\u6b65&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>ylabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u503c&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>grid<span class=\"token punctuation\">(<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u51c6\u5907\u8bad\u7ec3\u6570\u636e<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">create_sequences<\/span><span class=\"token punctuation\">(<\/span>data<span class=\"token punctuation\">,<\/span> seq_length<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    sequences <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    targets <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>data<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> seq_length<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        seq <span class=\"token operator\">&#061;<\/span> data<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">:<\/span>i<span class=\"token operator\">&#043;<\/span>seq_length<span class=\"token punctuation\">]<\/span><br \/>\n        target <span class=\"token operator\">&#061;<\/span> data<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#043;<\/span>seq_length<span class=\"token punctuation\">]<\/span><br \/>\n        sequences<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>seq<span class=\"token punctuation\">)<\/span><br \/>\n        targets<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>target<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span>sequences<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span>targets<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u521b\u5efa\u5e8f\u5217<\/span><br \/>\nseq_length <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">50<\/span>  <span class=\"token comment\"># \u7528\u524d50\u4e2a\u70b9\u9884\u6d4b\u4e0b\u4e00\u4e2a\u70b9<\/span><br \/>\nsequences<span class=\"token punctuation\">,<\/span> targets <span class=\"token operator\">&#061;<\/span> create_sequences<span class=\"token punctuation\">(<\/span>data<span class=\"token punctuation\">,<\/span> seq_length<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8f6c\u6362\u4e3aPyTorch\u5f20\u91cf<\/span><br \/>\nsequences <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>FloatTensor<span class=\"token punctuation\">(<\/span>sequences<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>unsqueeze<span class=\"token punctuation\">(<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># (N, seq_length, 1)<\/span><br \/>\ntargets <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>FloatTensor<span class=\"token punctuation\">(<\/span>targets<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>unsqueeze<span class=\"token punctuation\">(<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>      <span class=\"token comment\"># (N, 1)<\/span><\/p>\n<p><span class=\"token comment\"># \u5212\u5206\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6<\/span><br \/>\ntrain_size <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0.8<\/span> <span class=\"token operator\">*<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>sequences<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\ntrain_data <span class=\"token operator\">&#061;<\/span> sequences<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span>train_size<span class=\"token punctuation\">]<\/span><br \/>\ntrain_targets <span class=\"token operator\">&#061;<\/span> targets<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span>train_size<span class=\"token punctuation\">]<\/span><br \/>\ntest_data <span class=\"token operator\">&#061;<\/span> sequences<span class=\"token punctuation\">[<\/span>train_size<span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><br \/>\ntest_targets <span class=\"token operator\">&#061;<\/span> targets<span class=\"token punctuation\">[<\/span>train_size<span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u8bad\u7ec3\u6570\u636e\u5f62\u72b6: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>train_data<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u8bad\u7ec3\u76ee\u6807\u5f62\u72b6: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>train_targets<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6d4b\u8bd5\u6570\u636e\u5f62\u72b6: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>test_data<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6d4b\u8bd5\u76ee\u6807\u5f62\u72b6: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>test_targets<span class=\"token punctuation\">.<\/span>shape<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49RNN\u6a21\u578b<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">SimpleRNN<\/span><span class=\"token punctuation\">(<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> input_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">,<\/span> num_layers<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> output_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token builtin\">super<\/span><span class=\"token punctuation\">(<\/span>SimpleRNN<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>__init__<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>hidden_size <span class=\"token operator\">&#061;<\/span> hidden_size<br \/>\n        self<span class=\"token punctuation\">.<\/span>num_layers <span class=\"token operator\">&#061;<\/span> num_layers<\/p>\n<p>        <span class=\"token comment\"># RNN\u5c42<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>rnn <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>RNN<span class=\"token punctuation\">(<\/span>input_size<span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token punctuation\">,<\/span> num_layers<span class=\"token punctuation\">,<\/span> batch_first<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u5168\u8fde\u63a5\u8f93\u51fa\u5c42<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>fc <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span>hidden_size<span class=\"token punctuation\">,<\/span> output_size<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">forward<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token comment\"># x\u5f62\u72b6: (batch_size, seq_length, input_size)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u521d\u59cb\u5316\u9690\u85cf\u72b6\u6001<\/span><br \/>\n        h0 <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>zeros<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>num_layers<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>hidden_size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u524d\u5411\u4f20\u64ad<\/span><br \/>\n        <span class=\"token comment\"># out\u5f62\u72b6: (batch_size, seq_length, hidden_size)<\/span><br \/>\n        <span class=\"token comment\"># hn\u5f62\u72b6: (num_layers, batch_size, hidden_size)<\/span><br \/>\n        out<span class=\"token punctuation\">,<\/span> hn <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>rnn<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> h0<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u53d6\u6700\u540e\u4e00\u4e2a\u65f6\u95f4\u6b65\u7684\u8f93\u51fa<\/span><br \/>\n        out <span class=\"token operator\">&#061;<\/span> out<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># (batch_size, hidden_size)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u901a\u8fc7\u5168\u8fde\u63a5\u5c42<\/span><br \/>\n        out <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>fc<span class=\"token punctuation\">(<\/span>out<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># (batch_size, output_size)<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> out<\/p>\n<p><span class=\"token comment\"># \u521b\u5efa\u6a21\u578b<\/span><br \/>\nmodel <span class=\"token operator\">&#061;<\/span> SimpleRNN<span class=\"token punctuation\">(<\/span>input_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">,<\/span> num_layers<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> output_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6a21\u578b\u53c2\u6570\u6570\u91cf: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">.<\/span>numel<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> p <span class=\"token keyword\">in<\/span> model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">,<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8bad\u7ec3\u51fd\u6570<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">train_model<\/span><span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> train_data<span class=\"token punctuation\">,<\/span> train_targets<span class=\"token punctuation\">,<\/span> test_data<span class=\"token punctuation\">,<\/span> test_targets<span class=\"token punctuation\">,<\/span><br \/>\n                num_epochs<span class=\"token operator\">&#061;<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> batch_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">,<\/span> learning_rate<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.01<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token comment\"># \u521b\u5efa\u6570\u636e\u52a0\u8f7d\u5668<\/span><br \/>\n    train_dataset <span class=\"token operator\">&#061;<\/span> TensorDataset<span class=\"token punctuation\">(<\/span>train_data<span class=\"token punctuation\">,<\/span> train_targets<span class=\"token punctuation\">)<\/span><br \/>\n    train_loader <span class=\"token operator\">&#061;<\/span> DataLoader<span class=\"token punctuation\">(<\/span>train_dataset<span class=\"token punctuation\">,<\/span> batch_size<span class=\"token operator\">&#061;<\/span>batch_size<span class=\"token punctuation\">,<\/span> shuffle<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u5b9a\u4e49\u635f\u5931\u51fd\u6570\u548c\u4f18\u5316\u5668<\/span><br \/>\n    criterion <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>MSELoss<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    optimizer <span class=\"token operator\">&#061;<\/span> optim<span class=\"token punctuation\">.<\/span>Adam<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> lr<span class=\"token operator\">&#061;<\/span>learning_rate<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token comment\"># \u8bb0\u5f55\u8bad\u7ec3\u5386\u53f2<\/span><br \/>\n    train_losses <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    test_losses <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>    <span class=\"token comment\"># \u8bad\u7ec3\u5faa\u73af<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> epoch <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>num_epochs<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        model<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        epoch_loss <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.0<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> batch_x<span class=\"token punctuation\">,<\/span> batch_y <span class=\"token keyword\">in<\/span> train_loader<span class=\"token punctuation\">:<\/span><br \/>\n            batch_x<span class=\"token punctuation\">,<\/span> batch_y <span class=\"token operator\">&#061;<\/span> batch_x<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> batch_y<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u524d\u5411\u4f20\u64ad<\/span><br \/>\n            outputs <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>batch_x<span class=\"token punctuation\">)<\/span><br \/>\n            loss <span class=\"token operator\">&#061;<\/span> criterion<span class=\"token punctuation\">(<\/span>outputs<span class=\"token punctuation\">,<\/span> batch_y<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u53cd\u5411\u4f20\u64ad\u548c\u4f18\u5316<\/span><br \/>\n            optimizer<span class=\"token punctuation\">.<\/span>zero_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            loss<span class=\"token punctuation\">.<\/span>backward<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            optimizer<span class=\"token punctuation\">.<\/span>step<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>            epoch_loss <span class=\"token operator\">&#043;&#061;<\/span> loss<span class=\"token punctuation\">.<\/span>item<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u8ba1\u7b97\u5e73\u5747\u635f\u5931<\/span><br \/>\n        train_loss <span class=\"token operator\">&#061;<\/span> epoch_loss <span class=\"token operator\">\/<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>train_loader<span class=\"token punctuation\">)<\/span><br \/>\n        train_losses<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>train_loss<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u5728\u6d4b\u8bd5\u96c6\u4e0a\u8bc4\u4f30<\/span><br \/>\n        model<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">eval<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            test_outputs <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>test_data<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            test_loss <span class=\"token operator\">&#061;<\/span> criterion<span class=\"token punctuation\">(<\/span>test_outputs<span class=\"token punctuation\">,<\/span> test_targets<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>item<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            test_losses<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>test_loss<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u6253\u5370\u8fdb\u5ea6<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>epoch <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> <span class=\"token number\">10<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#039;Epoch [<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>epoch<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\/<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>num_epochs<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">], &#039;<\/span><\/span><br \/>\n                  <span class=\"token string-interpolation\"><span class=\"token string\">f&#039;Train Loss: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>train_loss<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.6f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">, Test Loss: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>test_loss<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.6f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#039;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> train_losses<span class=\"token punctuation\">,<\/span> test_losses<\/p>\n<p><span class=\"token comment\"># \u8bad\u7ec3\u6a21\u578b<\/span><br \/>\ntrain_losses<span class=\"token punctuation\">,<\/span> test_losses <span class=\"token operator\">&#061;<\/span> train_model<span class=\"token punctuation\">(<\/span><br \/>\n    model<span class=\"token punctuation\">,<\/span> train_data<span class=\"token punctuation\">,<\/span> train_targets<span class=\"token punctuation\">,<\/span> test_data<span class=\"token punctuation\">,<\/span> test_targets<span class=\"token punctuation\">,<\/span><br \/>\n    num_epochs<span class=\"token operator\">&#061;<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> batch_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">,<\/span> learning_rate<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.01<\/span><br \/>\n<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u53ef\u89c6\u5316\u8bad\u7ec3\u8fc7\u7a0b<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>figure<span class=\"token punctuation\">(<\/span>figsize<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>train_losses<span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;\u8bad\u7ec3\u635f\u5931&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>test_losses<span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;\u6d4b\u8bd5\u635f\u5931&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>xlabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;Epoch&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>ylabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u635f\u5931&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>title<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u8bad\u7ec3\u8fc7\u7a0b&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>legend<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>grid<span class=\"token punctuation\">(<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u6a21\u578b\u9884\u6d4b\u4e0e\u53ef\u89c6\u5316<\/span><br \/>\nmodel<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">eval<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    predictions <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>test_data<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>cpu<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>numpy<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u53ef\u89c6\u5316\u9884\u6d4b\u7ed3\u679c<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>figure<span class=\"token punctuation\">(<\/span>figsize<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">12<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>test_targets<span class=\"token punctuation\">.<\/span>numpy<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;\u771f\u5b9e\u503c&#039;<\/span><span class=\"token punctuation\">,<\/span> linewidth<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>predictions<span class=\"token punctuation\">,<\/span> label<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;\u9884\u6d4b\u503c&#039;<\/span><span class=\"token punctuation\">,<\/span> linewidth<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> linestyle<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#039;&#8211;&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>title<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;RNN\u5e8f\u5217\u9884\u6d4b\u7ed3\u679c&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>xlabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u65f6\u95f4\u6b65&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>ylabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u503c&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>legend<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>grid<span class=\"token punctuation\">(<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8ba1\u7b97\u51c6\u786e\u7387<\/span><br \/>\nmse <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>mean<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span>predictions <span class=\"token operator\">&#8211;<\/span> test_targets<span class=\"token punctuation\">.<\/span>numpy<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">**<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5747\u65b9\u8bef\u5dee(MSE): <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>mse<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.6f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u6587\u672c\u5904\u7406\u793a\u4f8b&#xff1a;\u5b57\u7b26\u7ea7\u8bed\u8a00\u6a21\u578b<\/h4>\n<p>\u8ba9\u6211\u4eec\u7528RNN\u6765\u5b66\u4e60\u838e\u58eb\u6bd4\u4e9a\u4f5c\u54c1\u7684\u98ce\u683c&#xff0c;\u7136\u540e\u751f\u6210\u65b0\u7684\u6587\u672c\u3002<\/p>\n<p><span class=\"token comment\"># \u8fd9\u91cc\u4f7f\u7528\u7b80\u5316\u7684\u793a\u4f8b\u6587\u672c<\/span><br \/>\ntext <span class=\"token operator\">&#061;<\/span> <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\nTo be, or not to be, that is the question:<br \/>\nWhether &#039;tis nobler in the mind to suffer<br \/>\nThe slings and arrows of outrageous fortune,<br \/>\nOr to take arms against a sea of troubles,<br \/>\nAnd by opposing end them.<br \/>\n&#034;&#034;&#034;<\/span><\/p>\n<p><span class=\"token comment\"># \u521b\u5efa\u5b57\u7b26\u5230\u7d22\u5f15\u7684\u6620\u5c04<\/span><br \/>\nchars <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">list<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span>text<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\nchar_to_idx <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span>char<span class=\"token punctuation\">:<\/span> idx <span class=\"token keyword\">for<\/span> idx<span class=\"token punctuation\">,<\/span> char <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">enumerate<\/span><span class=\"token punctuation\">(<\/span>chars<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><br \/>\nidx_to_char <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span>idx<span class=\"token punctuation\">:<\/span> char <span class=\"token keyword\">for<\/span> idx<span class=\"token punctuation\">,<\/span> char <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">enumerate<\/span><span class=\"token punctuation\">(<\/span>chars<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5b57\u7b26\u96c6\u5927\u5c0f: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>chars<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5b57\u7b26\u96c6: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token string\">&#039;&#039;<\/span><span class=\"token punctuation\">.<\/span>join<span class=\"token punctuation\">(<\/span>chars<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u521b\u5efa\u8bad\u7ec3\u6837\u672c<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">create_text_samples<\/span><span class=\"token punctuation\">(<\/span>text<span class=\"token punctuation\">,<\/span> seq_length<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    samples <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    targets <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>text<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> seq_length<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        sample <span class=\"token operator\">&#061;<\/span> text<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">:<\/span>i<span class=\"token operator\">&#043;<\/span>seq_length<span class=\"token punctuation\">]<\/span><br \/>\n        target <span class=\"token operator\">&#061;<\/span> text<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#043;<\/span>seq_length<span class=\"token punctuation\">]<\/span><br \/>\n        samples<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>sample<span class=\"token punctuation\">)<\/span><br \/>\n        targets<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>target<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> samples<span class=\"token punctuation\">,<\/span> targets<\/p>\n<p>seq_length <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">50<\/span><br \/>\nsamples<span class=\"token punctuation\">,<\/span> targets <span class=\"token operator\">&#061;<\/span> create_text_samples<span class=\"token punctuation\">(<\/span>text<span class=\"token punctuation\">,<\/span> seq_length<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\\\\n\u8bad\u7ec3\u6837\u672c\u6570\u91cf: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>samples<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\\\\n\u793a\u4f8b\u6837\u672c:&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u8f93\u5165: &#039;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>samples<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#039;&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u76ee\u6807: &#039;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>targets<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#039;&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u5c06\u6587\u672c\u8f6c\u6362\u4e3a\u7d22\u5f15<\/span><br \/>\nsamples_indices <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span>char_to_idx<span class=\"token punctuation\">[<\/span>char<span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">for<\/span> char <span class=\"token keyword\">in<\/span> sample<span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">for<\/span> sample <span class=\"token keyword\">in<\/span> samples<span class=\"token punctuation\">]<\/span><br \/>\ntargets_indices <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>char_to_idx<span class=\"token punctuation\">[<\/span>target<span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">for<\/span> target <span class=\"token keyword\">in<\/span> targets<span class=\"token punctuation\">]<\/span><\/p>\n<p><span class=\"token comment\"># \u8f6c\u6362\u4e3aPyTorch\u5f20\u91cf<\/span><br \/>\nsamples_tensor <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>LongTensor<span class=\"token punctuation\">(<\/span>samples_indices<span class=\"token punctuation\">)<\/span><br \/>\ntargets_tensor <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>LongTensor<span class=\"token punctuation\">(<\/span>targets_indices<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u521b\u5efa\u6570\u636e\u52a0\u8f7d\u5668<\/span><br \/>\ndataset <span class=\"token operator\">&#061;<\/span> TensorDataset<span class=\"token punctuation\">(<\/span>samples_tensor<span class=\"token punctuation\">,<\/span> targets_tensor<span class=\"token punctuation\">)<\/span><br \/>\ndataloader <span class=\"token operator\">&#061;<\/span> DataLoader<span class=\"token punctuation\">(<\/span>dataset<span class=\"token punctuation\">,<\/span> batch_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">,<\/span> shuffle<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u5b9a\u4e49\u5b57\u7b26\u7ea7RNN\u6a21\u578b<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">CharRNN<\/span><span class=\"token punctuation\">(<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> vocab_size<span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">128<\/span><span class=\"token punctuation\">,<\/span> num_layers<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token builtin\">super<\/span><span class=\"token punctuation\">(<\/span>CharRNN<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>__init__<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>hidden_size <span class=\"token operator\">&#061;<\/span> hidden_size<br \/>\n        self<span class=\"token punctuation\">.<\/span>num_layers <span class=\"token operator\">&#061;<\/span> num_layers<\/p>\n<p>        <span class=\"token comment\"># \u5d4c\u5165\u5c42<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>embedding <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>Embedding<span class=\"token punctuation\">(<\/span>vocab_size<span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># RNN\u5c42<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>rnn <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>RNN<span class=\"token punctuation\">(<\/span>hidden_size<span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token punctuation\">,<\/span> num_layers<span class=\"token punctuation\">,<\/span> batch_first<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u5168\u8fde\u63a5\u8f93\u51fa\u5c42<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>fc <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>Linear<span class=\"token punctuation\">(<\/span>hidden_size<span class=\"token punctuation\">,<\/span> vocab_size<span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">forward<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token comment\"># x\u5f62\u72b6: (batch_size, seq_length)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u5d4c\u5165<\/span><br \/>\n        x <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>embedding<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># (batch_size, seq_length, hidden_size)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u521d\u59cb\u5316\u9690\u85cf\u72b6\u6001<\/span><br \/>\n        h0 <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>zeros<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>num_layers<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">.<\/span>size<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">.<\/span>hidden_size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># RNN\u524d\u5411\u4f20\u64ad<\/span><br \/>\n        out<span class=\"token punctuation\">,<\/span> hn <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>rnn<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> h0<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># out: (batch_size, seq_length, hidden_size)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u53d6\u6700\u540e\u4e00\u4e2a\u65f6\u95f4\u6b65<\/span><br \/>\n        out <span class=\"token operator\">&#061;<\/span> out<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span>  <span class=\"token comment\"># (batch_size, hidden_size)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u5168\u8fde\u63a5\u5c42<\/span><br \/>\n        out <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>fc<span class=\"token punctuation\">(<\/span>out<span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># (batch_size, vocab_size)<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> out<\/p>\n<p><span class=\"token comment\"># \u521b\u5efa\u6a21\u578b<\/span><br \/>\nmodel <span class=\"token operator\">&#061;<\/span> CharRNN<span class=\"token punctuation\">(<\/span>vocab_size<span class=\"token operator\">&#061;<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>chars<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">128<\/span><span class=\"token punctuation\">,<\/span> num_layers<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u6a21\u578b\u53c2\u6570\u6570\u91cf: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span><span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">.<\/span>numel<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> p <span class=\"token keyword\">in<\/span> model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">,<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8bad\u7ec3\u6a21\u578b<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">train_char_model<\/span><span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> dataloader<span class=\"token punctuation\">,<\/span> num_epochs<span class=\"token operator\">&#061;<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> learning_rate<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.001<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    criterion <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>CrossEntropyLoss<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    optimizer <span class=\"token operator\">&#061;<\/span> optim<span class=\"token punctuation\">.<\/span>Adam<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> lr<span class=\"token operator\">&#061;<\/span>learning_rate<span class=\"token punctuation\">)<\/span><\/p>\n<p>    train_losses <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> epoch <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>num_epochs<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        model<span class=\"token punctuation\">.<\/span>train<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        epoch_loss <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.0<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> batch_x<span class=\"token punctuation\">,<\/span> batch_y <span class=\"token keyword\">in<\/span> dataloader<span class=\"token punctuation\">:<\/span><br \/>\n            batch_x<span class=\"token punctuation\">,<\/span> batch_y <span class=\"token operator\">&#061;<\/span> batch_x<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> batch_y<span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u524d\u5411\u4f20\u64ad<\/span><br \/>\n            outputs <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>batch_x<span class=\"token punctuation\">)<\/span><br \/>\n            loss <span class=\"token operator\">&#061;<\/span> criterion<span class=\"token punctuation\">(<\/span>outputs<span class=\"token punctuation\">,<\/span> batch_y<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u53cd\u5411\u4f20\u64ad\u548c\u4f18\u5316<\/span><br \/>\n            optimizer<span class=\"token punctuation\">.<\/span>zero_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            loss<span class=\"token punctuation\">.<\/span>backward<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            optimizer<span class=\"token punctuation\">.<\/span>step<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>            epoch_loss <span class=\"token operator\">&#043;&#061;<\/span> loss<span class=\"token punctuation\">.<\/span>item<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u8ba1\u7b97\u5e73\u5747\u635f\u5931<\/span><br \/>\n        avg_loss <span class=\"token operator\">&#061;<\/span> epoch_loss <span class=\"token operator\">\/<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>dataloader<span class=\"token punctuation\">)<\/span><br \/>\n        train_losses<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>avg_loss<span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># \u6253\u5370\u8fdb\u5ea6<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>epoch <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> <span class=\"token number\">20<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#039;Epoch [<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>epoch<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\/<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>num_epochs<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">], Loss: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>avg_loss<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.4f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#039;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">return<\/span> train_losses<\/p>\n<p><span class=\"token comment\"># \u8bad\u7ec3\u6a21\u578b<\/span><br \/>\ntrain_losses <span class=\"token operator\">&#061;<\/span> train_char_model<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> dataloader<span class=\"token punctuation\">,<\/span> num_epochs<span class=\"token operator\">&#061;<\/span><span class=\"token number\">200<\/span><span class=\"token punctuation\">,<\/span> learning_rate<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.001<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u53ef\u89c6\u5316\u8bad\u7ec3\u8fc7\u7a0b<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>figure<span class=\"token punctuation\">(<\/span>figsize<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>plot<span class=\"token punctuation\">(<\/span>train_losses<span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>xlabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;Epoch&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>ylabel<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u635f\u5931&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>title<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#039;\u8bad\u7ec3\u8fc7\u7a0b&#039;<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>grid<span class=\"token punctuation\">(<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\nplt<span class=\"token punctuation\">.<\/span>show<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u751f\u6210\u6587\u672c<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">generate_text<\/span><span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> seed_text<span class=\"token punctuation\">,<\/span> char_to_idx<span class=\"token punctuation\">,<\/span> idx_to_char<span class=\"token punctuation\">,<\/span> length<span class=\"token operator\">&#061;<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">,<\/span> temperature<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    model<span class=\"token punctuation\">.<\/span><span class=\"token builtin\">eval<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    generated_text <span class=\"token operator\">&#061;<\/span> seed_text<\/p>\n<p>    <span class=\"token keyword\">with<\/span> torch<span class=\"token punctuation\">.<\/span>no_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> _ <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>length<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token comment\"># \u51c6\u5907\u8f93\u5165<\/span><br \/>\n            input_seq <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>LongTensor<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span>char_to_idx<span class=\"token punctuation\">[<\/span>char<span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">for<\/span> char <span class=\"token keyword\">in<\/span> seed_text<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>to<span class=\"token punctuation\">(<\/span>device<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u524d\u5411\u4f20\u64ad<\/span><br \/>\n            output <span class=\"token operator\">&#061;<\/span> model<span class=\"token punctuation\">(<\/span>input_seq<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u5e94\u7528\u6e29\u5ea6<\/span><br \/>\n            output <span class=\"token operator\">&#061;<\/span> output <span class=\"token operator\">\/<\/span> temperature<\/p>\n<p>            <span class=\"token comment\"># \u8f6c\u6362\u4e3a\u6982\u7387<\/span><br \/>\n            probabilities <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>softmax<span class=\"token punctuation\">(<\/span>output<span class=\"token punctuation\">,<\/span> dim<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u91c7\u6837<\/span><br \/>\n            next_idx <span class=\"token operator\">&#061;<\/span> torch<span class=\"token punctuation\">.<\/span>multinomial<span class=\"token punctuation\">(<\/span>probabilities<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>item<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            next_char <span class=\"token operator\">&#061;<\/span> idx_to_char<span class=\"token punctuation\">[<\/span>next_idx<span class=\"token punctuation\">]<\/span><\/p>\n<p>            <span class=\"token comment\"># \u66f4\u65b0\u751f\u6210\u6587\u672c\u548c\u79cd\u5b50\u6587\u672c<\/span><br \/>\n            generated_text <span class=\"token operator\">&#043;&#061;<\/span> next_char<br \/>\n            seed_text <span class=\"token operator\">&#061;<\/span> seed_text<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#043;<\/span> next_char<\/p>\n<p>    <span class=\"token keyword\">return<\/span> generated_text<\/p>\n<p><span class=\"token comment\"># \u751f\u6210\u6587\u672c<\/span><br \/>\nseed_text <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">&#034;To be or not to &#034;<\/span><br \/>\ngenerated <span class=\"token operator\">&#061;<\/span> generate_text<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">,<\/span> seed_text<span class=\"token punctuation\">,<\/span> char_to_idx<span class=\"token punctuation\">,<\/span> idx_to_char<span class=\"token punctuation\">,<\/span><br \/>\n                           length<span class=\"token operator\">&#061;<\/span><span class=\"token number\">200<\/span><span class=\"token punctuation\">,<\/span> temperature<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.8<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u539f\u59cb\u6587\u672c:&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>text<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">200<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n\u751f\u6210\u6587\u672c:&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>generated<span class=\"token punctuation\">)<\/span><\/p>\n<h3>RNN\u7684\u5c40\u9650\u6027<\/h3>\n<p>\u867d\u7136RNN\u5728\u5904\u7406\u5e8f\u5217\u6570\u636e\u65b9\u9762\u5f88\u5f3a\u5927&#xff0c;\u4f46\u5b83\u4e5f\u5b58\u5728\u4e00\u4e9b\u4e25\u91cd\u7684\u5c40\u9650\u6027&#xff1a;<\/p>\n<h4>1. \u68af\u5ea6\u6d88\u5931\u95ee\u9898<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a; \u5f53\u5e8f\u5217\u5f88\u957f\u65f6&#xff0c;\u65e9\u671f\u7684\u68af\u5ea6\u5728\u53cd\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\u4f1a\u9010\u6e10\u6d88\u5931&#xff0c;\u5bfc\u81f4RNN\u65e0\u6cd5\u5b66\u4e60\u5230\u957f\u8ddd\u79bb\u7684\u4f9d\u8d56\u5173\u7cfb\u3002<\/p>\n<p>\u4f8b\u5b50&#xff1a; \u8003\u8651\u53e5\u5b50&#xff1a;\u201cThe cat, which \u2026 [\u5f88\u957f\u7684\u63cf\u8ff0] \u2026, sat on the mat.\u201d<\/p>\n<p>\u5f53RNN\u5904\u7406\u5230&#034;mat&#034;\u65f6&#xff0c;\u7531\u4e8e\u68af\u5ea6\u6d88\u5931&#xff0c;\u53ef\u80fd\u5df2\u7ecf\u5fd8\u8bb0\u4e86&#034;cat&#034;\u7684\u4fe1\u606f&#xff0c;\u65e0\u6cd5\u6b63\u786e\u7406\u89e3\u53e5\u5b50\u3002<\/p>\n<p>\u5f71\u54cd&#xff1a;<\/p>\n<ul>\n<li>RNN\u53ea\u80fd\u8bb0\u4f4f\u6700\u8fd1\u51e0\u4e2a\u65f6\u95f4\u6b65\u7684\u4fe1\u606f<\/li>\n<li>\u96be\u4ee5\u5904\u7406\u957f\u6587\u672c<\/li>\n<li>\u5728\u957f\u5e8f\u5217\u4efb\u52a1\u4e0a\u8868\u73b0\u4e0d\u4f73<\/li>\n<\/ul>\n<h4>2. \u68af\u5ea6\u7206\u70b8\u95ee\u9898<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a; \u68af\u5ea6\u5728\u53cd\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u53d8\u5f97\u975e\u5e38\u5927&#xff0c;\u5bfc\u81f4\u53c2\u6570\u66f4\u65b0\u5e45\u5ea6\u8fc7\u5927&#xff0c;\u8bad\u7ec3\u4e0d\u7a33\u5b9a\u3002<\/p>\n<p>\u5f71\u54cd&#xff1a;<\/p>\n<ul>\n<li>\u635f\u5931\u51fd\u6570\u53ef\u80fd\u51fa\u73b0NaN<\/li>\n<li>\u6a21\u578b\u65e0\u6cd5\u6536\u655b<\/li>\n<li>\u9700\u8981\u5c0f\u5fc3\u8c03\u8282\u5b66\u4e60\u7387\u548c\u68af\u5ea6\u88c1\u526a<\/li>\n<\/ul>\n<h4>3. \u8bad\u7ec3\u6548\u7387\u4f4e<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a; RNN\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\u90fd\u9700\u8981\u8ba1\u7b97&#xff0c;\u65e0\u6cd5\u50cfCNN\u90a3\u6837\u5e76\u884c\u8ba1\u7b97\u3002<\/p>\n<p>\u5f71\u54cd&#xff1a;<\/p>\n<ul>\n<li>\u8bad\u7ec3\u901f\u5ea6\u6162<\/li>\n<li>\u96be\u4ee5\u5904\u7406\u8d85\u957f\u5e8f\u5217<\/li>\n<li>\u8ba1\u7b97\u8d44\u6e90\u6d88\u8017\u5927<\/li>\n<\/ul>\n<h4>4. \u4e0a\u4e0b\u6587\u7406\u89e3\u6709\u9650<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a; RNN\u53ea\u80fd\u5355\u5411\u5904\u7406\u5e8f\u5217&#xff0c;\u53ea\u80fd\u770b\u5230\u524d\u9762\u7684\u4fe1\u606f&#xff0c;\u65e0\u6cd5\u770b\u5230\u540e\u9762\u7684\u4e0a\u4e0b\u6587\u3002<\/p>\n<p>\u5f71\u54cd&#xff1a;<\/p>\n<ul>\n<li>\u67d0\u4e9b\u4efb\u52a1\u9700\u8981\u53cc\u5411\u7406\u89e3&#xff08;\u5982\u5e8f\u5217\u6807\u6ce8&#xff09;<\/li>\n<li>\u4fe1\u606f\u6d41\u52a8\u53d7\u9650<\/li>\n<\/ul>\n<h4>5. \u56fa\u5b9a\u957f\u5ea6\u7684\u8bb0\u5fc6<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a; RNN\u7684\u9690\u85cf\u72b6\u6001\u5927\u5c0f\u662f\u56fa\u5b9a\u7684&#xff0c;\u65e0\u6cd5\u6839\u636e\u4efb\u52a1\u9700\u6c42\u52a8\u6001\u8c03\u6574\u8bb0\u5fc6\u5bb9\u91cf\u3002<\/p>\n<p>\u5f71\u54cd&#xff1a;<\/p>\n<ul>\n<li>\u96be\u4ee5\u5904\u7406\u9700\u8981\u5927\u91cf\u8bb0\u5fc6\u7684\u4efb\u52a1<\/li>\n<li>\u4fe1\u606f\u53ef\u80fd\u88ab\u8fc7\u65e9\u9057\u5fd8<\/li>\n<\/ul>\n<h3>\u89e3\u51b3\u65b9\u6848\u4e0e\u6539\u8fdb<\/h3>\n<p>\u9488\u5bf9RNN\u7684\u5c40\u9650\u6027&#xff0c;\u7814\u7a76\u8005\u63d0\u51fa\u4e86\u591a\u79cd\u89e3\u51b3\u65b9\u6848&#xff1a;<\/p>\n<h4>1. \u6539\u8fdb\u7684RNN\u67b6\u6784<\/h4>\n<p>LSTM&#xff08;Long Short-Term Memory&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u5f15\u5165\u4e86&#034;\u95e8\u63a7&#034;\u673a\u5236&#xff08;\u9057\u5fd8\u95e8\u3001\u8f93\u5165\u95e8\u3001\u8f93\u51fa\u95e8&#xff09;<\/li>\n<li>\u80fd\u591f\u957f\u671f\u4fdd\u5b58\u548c\u9057\u5fd8\u4fe1\u606f<\/li>\n<li>\u6709\u6548\u7f13\u89e3\u68af\u5ea6\u6d88\u5931\u95ee\u9898<\/li>\n<li>\u4e0b\u4e00\u7ae0\u8be6\u7ec6\u4ecb\u7ecd<\/li>\n<\/ul>\n<p>GRU&#xff08;Gated Recurrent Unit&#xff09;&#xff1a;<\/p>\n<ul>\n<li>LSTM\u7684\u7b80\u5316\u7248\u672c<\/li>\n<li>\u95e8\u63a7\u673a\u5236\u66f4\u7b80\u5355&#xff08;\u66f4\u65b0\u95e8\u3001\u91cd\u7f6e\u95e8&#xff09;<\/li>\n<li>\u53c2\u6570\u66f4\u5c11&#xff0c;\u8bad\u7ec3\u66f4\u5feb<\/li>\n<li>\u4e0b\u4e00\u7ae0\u8be6\u7ec6\u4ecb\u7ecd<\/li>\n<\/ul>\n<h4>2. \u53cc\u5411RNN&#xff08;Bi-RNN&#xff09;<\/h4>\n<p>\u539f\u7406&#xff1a;<\/p>\n<ul>\n<li>\u540c\u65f6\u4ece\u524d\u5411\u548c\u540e\u5411\u5904\u7406\u5e8f\u5217<\/li>\n<li>\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7ed3\u5408\u524d\u5411\u548c\u540e\u5411\u7684\u9690\u85cf\u72b6\u6001<\/li>\n<li>\u80fd\u591f\u770b\u5230\u5b8c\u6574\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f<\/li>\n<\/ul>\n<p>\u5e94\u7528&#xff1a;<\/p>\n<ul>\n<li>\u5e8f\u5217\u6807\u6ce8\u4efb\u52a1<\/li>\n<li>\u673a\u5668\u7ffb\u8bd1<\/li>\n<li>\u60c5\u611f\u5206\u6790<\/li>\n<\/ul>\n<p>\u4ee3\u7801\u793a\u4f8b&#xff1a;<\/p>\n<p><span class=\"token comment\"># \u53cc\u5411RNN<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">BiRNN<\/span><span class=\"token punctuation\">(<\/span>nn<span class=\"token punctuation\">.<\/span>Module<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> input_size<span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token builtin\">super<\/span><span class=\"token punctuation\">(<\/span>BiRNN<span class=\"token punctuation\">,<\/span> self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>__init__<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>rnn <span class=\"token operator\">&#061;<\/span> nn<span class=\"token punctuation\">.<\/span>RNN<span class=\"token punctuation\">(<\/span>input_size<span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token punctuation\">,<\/span> batch_first<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span> bidirectional<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">forward<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        out<span class=\"token punctuation\">,<\/span> hn <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>rnn<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> out<\/p>\n<p>model <span class=\"token operator\">&#061;<\/span> BiRNN<span class=\"token punctuation\">(<\/span>input_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> hidden_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>3. \u68af\u5ea6\u88c1\u526a<\/h4>\n<p>\u539f\u7406&#xff1a;<\/p>\n<ul>\n<li>\u9650\u5236\u68af\u5ea6\u7684\u6700\u5927\u503c&#xff0c;\u9632\u6b62\u68af\u5ea6\u7206\u70b8<\/li>\n<li>\u901a\u5e38\u8bbe\u7f6e\u68af\u5ea6\u8303\u6570\u7684\u4e0a\u9650<\/li>\n<\/ul>\n<p>\u4ee3\u7801\u793a\u4f8b&#xff1a;<\/p>\n<p><span class=\"token comment\"># \u5728\u8bad\u7ec3\u5faa\u73af\u4e2d\u6dfb\u52a0\u68af\u5ea6\u88c1\u526a<\/span><br \/>\noptimizer<span class=\"token punctuation\">.<\/span>zero_grad<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\nloss<span class=\"token punctuation\">.<\/span>backward<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\ntorch<span class=\"token punctuation\">.<\/span>nn<span class=\"token punctuation\">.<\/span>utils<span class=\"token punctuation\">.<\/span>clip_grad_norm_<span class=\"token punctuation\">(<\/span>model<span class=\"token punctuation\">.<\/span>parameters<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> max_norm<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># \u68af\u5ea6\u88c1\u526a<\/span><br \/>\noptimizer<span class=\"token punctuation\">.<\/span>step<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>4. \u66f4\u597d\u7684\u521d\u59cb\u5316\u548c\u6b63\u5219\u5316<\/h4>\n<p>\u65b9\u6cd5&#xff1a;<\/p>\n<ul>\n<li>\u4f7f\u7528Xavier\u6216He\u521d\u59cb\u5316<\/li>\n<li>\u6dfb\u52a0Dropout\u9632\u6b62\u8fc7\u62df\u5408<\/li>\n<li>\u4f7f\u7528\u5c42\u5f52\u4e00\u5316&#xff08;Layer Normalization&#xff09;<\/li>\n<\/ul>\n<h4>5. \u6ce8\u610f\u529b\u673a\u5236&#xff08;Attention&#xff09;<\/h4>\n<p>\u539f\u7406&#xff1a;<\/p>\n<ul>\n<li>\u5728\u5904\u7406\u5e8f\u5217\u65f6&#xff0c;\u52a8\u6001\u5730\u5173\u6ce8\u4e0d\u540c\u4f4d\u7f6e\u7684\u4fe1\u606f<\/li>\n<li>\u4e0d\u518d\u9700\u8981\u5c06\u6240\u6709\u4fe1\u606f\u538b\u7f29\u5230\u56fa\u5b9a\u5927\u5c0f\u7684\u9690\u85cf\u72b6\u6001\u4e2d<\/li>\n<li>\u89e3\u51b3\u4e86\u957f\u8ddd\u79bb\u4f9d\u8d56\u95ee\u9898<\/li>\n<\/ul>\n<p>\u5e94\u7528&#xff1a;<\/p>\n<ul>\n<li>\u673a\u5668\u7ffb\u8bd1<\/li>\n<li>\u6587\u672c\u6458\u8981<\/li>\n<li>\u56fe\u50cf\u63cf\u8ff0\u751f\u6210<\/li>\n<\/ul>\n<p>\u53d1\u5c55&#xff1a;<\/p>\n<ul>\n<li>2014\u5e74&#xff1a;Bahdanau Attention<\/li>\n<li>2015\u5e74&#xff1a;Luong Attention<\/li>\n<li>2017\u5e74&#xff1a;Self-Attention&#xff08;Transformer\u7684\u6838\u5fc3&#xff09;<\/li>\n<li>\u7b2c22\u7ae0\u8be6\u7ec6\u4ecb\u7ecd<\/li>\n<\/ul>\n<h3>RNN vs \u5176\u4ed6\u5e8f\u5217\u6a21\u578b<\/h3>\n<p>\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3RNN\u7684\u7279\u70b9&#xff0c;\u8ba9\u6211\u4eec\u6bd4\u8f83\u4e00\u4e0b\u5904\u7406\u5e8f\u5217\u6570\u636e\u7684\u4e0d\u540c\u65b9\u6cd5&#xff1a;<\/p>\n<h4>RNN vs 1D CNN<\/h4>\n<p>RNN\u7684\u4f18\u52bf&#xff1a;<\/p>\n<ul>\n<li>\u5929\u7136\u9002\u5408\u5904\u7406\u53d8\u957f\u5e8f\u5217<\/li>\n<li>\u80fd\u591f\u6355\u6349\u957f\u671f\u4f9d\u8d56<\/li>\n<li>\u9002\u5408\u5904\u7406\u65f6\u95f4\u5e8f\u5217<\/li>\n<\/ul>\n<p>1D CNN\u7684\u4f18\u52bf&#xff1a;<\/p>\n<ul>\n<li>\u53ef\u4ee5\u5e76\u884c\u8ba1\u7b97&#xff0c;\u8bad\u7ec3\u901f\u5ea6\u5feb<\/li>\n<li>\u611f\u53d7\u91ce\u5927\u5c0f\u56fa\u5b9a<\/li>\n<li>\u64c5\u957f\u6355\u6349\u5c40\u90e8\u6a21\u5f0f<\/li>\n<\/ul>\n<p>\u4f7f\u7528\u573a\u666f&#xff1a;<\/p>\n<ul>\n<li>RNN&#xff1a;\u9700\u8981\u6355\u6349\u957f\u671f\u4f9d\u8d56\u7684\u4efb\u52a1&#xff08;\u5982\u6587\u672c\u751f\u6210&#xff09;<\/li>\n<li>1D CNN&#xff1a;\u66f4\u5173\u6ce8\u5c40\u90e8\u6a21\u5f0f\u7684\u4efb\u52a1&#xff08;\u5982\u8bed\u97f3\u8bc6\u522b&#xff09;<\/li>\n<\/ul>\n<h4>RNN vs Transformer<\/h4>\n<p>RNN\u7684\u7279\u70b9&#xff1a;<\/p>\n<ul>\n<li>\u987a\u5e8f\u8ba1\u7b97&#xff0c;\u65e0\u6cd5\u5e76\u884c<\/li>\n<li>\u64c5\u957f\u5904\u7406\u77ed\u5e8f\u5217<\/li>\n<li>\u7406\u89e3\u7b80\u5355\u76f4\u89c2<\/li>\n<\/ul>\n<p>Transformer\u7684\u7279\u70b9&#xff1a;<\/p>\n<ul>\n<li>\u5e76\u884c\u8ba1\u7b97&#xff0c;\u8bad\u7ec3\u901f\u5ea6\u5feb<\/li>\n<li>\u81ea\u6ce8\u610f\u529b\u673a\u5236&#xff0c;\u80fd\u591f\u6355\u6349\u5168\u5c40\u4f9d\u8d56<\/li>\n<li>\u80fd\u591f\u5904\u7406\u975e\u5e38\u957f\u7684\u5e8f\u5217<\/li>\n<li>\u53c2\u6570\u91cf\u5927&#xff0c;\u9700\u8981\u5927\u91cf\u6570\u636e<\/li>\n<\/ul>\n<p>\u4f7f\u7528\u573a\u666f&#xff1a;<\/p>\n<ul>\n<li>RNN&#xff1a;\u5c0f\u6570\u636e\u96c6\u3001\u7b80\u5355\u5e8f\u5217\u4efb\u52a1<\/li>\n<li>Transformer&#xff1a;\u5927\u89c4\u6a21\u6570\u636e\u3001\u590d\u6742\u5e8f\u5217\u4efb\u52a1&#xff08;\u5982\u673a\u5668\u7ffb\u8bd1\u3001\u6587\u672c\u751f\u6210&#xff09;<\/li>\n<\/ul>\n<h4>\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u9009\u62e9<\/h4>\n<p>\u9009\u62e9RNN\u7684\u60c5\u51b5&#xff1a;<\/p>\n<ul>\n<li>\u6570\u636e\u91cf\u8f83\u5c11<\/li>\n<li>\u5e8f\u5217\u957f\u5ea6\u9002\u4e2d<\/li>\n<li>\u4efb\u52a1\u76f8\u5bf9\u7b80\u5355<\/li>\n<li>\u9700\u8981\u5feb\u901f\u539f\u578b\u5f00\u53d1<\/li>\n<\/ul>\n<p>\u9009\u62e9Transformer\u7684\u60c5\u51b5&#xff1a;<\/p>\n<ul>\n<li>\u5927\u89c4\u6a21\u6570\u636e\u96c6<\/li>\n<li>\u975e\u5e38\u957f\u7684\u5e8f\u5217<\/li>\n<li>\u590d\u6742\u7684\u5e8f\u5217\u5230\u5e8f\u5217\u4efb\u52a1<\/li>\n<li>\u9700\u8981\u6355\u6349\u5168\u5c40\u4f9d\u8d56<\/li>\n<\/ul>\n<p>\u9009\u62e9\u6df7\u5408\u65b9\u6848\u7684\u60c5\u51b5&#xff1a;<\/p>\n<ul>\n<li>\u4f7f\u7528CNN\u63d0\u53d6\u5c40\u90e8\u7279\u5f81<\/li>\n<li>\u4f7f\u7528RNN\/Transformer\u5904\u7406\u65f6\u5e8f\u5173\u7cfb<\/li>\n<li>\u7ed3\u5408\u5404\u81ea\u7684\u4f18\u52bf<\/li>\n<\/ul>\n<h3>\u672c\u7ae0\u5c0f\u7ed3<\/h3>\n<p>\u5728\u672c\u7ae0\u4e2d&#xff0c;\u6211\u4eec\u6df1\u5165\u5b66\u4e60\u4e86\u5faa\u73af\u795e\u7ecf\u7f51\u7edc&#xff08;RNN&#xff09;\u8fd9\u4e00\u91cd\u8981\u7684\u5e8f\u5217\u5efa\u6a21\u5de5\u5177&#xff1a;<\/p>\n<h4>\u6838\u5fc3\u6982\u5ff5<\/h4>\n<li>RNN\u7684\u57fa\u672c\u601d\u60f3&#xff1a;\u901a\u8fc7\u9690\u85cf\u72b6\u6001\u8bb0\u4f4f\u4e4b\u524d\u7684\u4fe1\u606f&#xff0c;\u5904\u7406\u5e8f\u5217\u6570\u636e<\/li>\n<li>RNN\u7684\u67b6\u6784&#xff1a;\u65f6\u95f4\u6b65\u5c55\u5f00\u3001\u9690\u85cf\u72b6\u6001\u4f20\u9012\u3001\u6743\u91cd\u5171\u4eab<\/li>\n<li>RNN\u7684\u7c7b\u578b&#xff1a;\u4e00\u5bf9\u4e00\u3001\u4e00\u5bf9\u591a\u3001\u591a\u5bf9\u4e00\u3001\u591a\u5bf9\u591a<\/li>\n<li>RNN\u7684\u8bad\u7ec3&#xff1a;BPTT\u7b97\u6cd5\u3001\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8\u95ee\u9898<\/li>\n<h4>\u5b9e\u8df5\u6280\u80fd<\/h4>\n<li>RNN\u7684\u6570\u5b66\u539f\u7406&#xff1a;\u7406\u89e3\u524d\u5411\u4f20\u64ad\u548c\u53cd\u5411\u4f20\u64ad\u7684\u8ba1\u7b97\u8fc7\u7a0b<\/li>\n<li>RNN\u7684\u5b9e\u73b0&#xff1a;\u4f7f\u7528PyTorch\u6784\u5efa\u548c\u8bad\u7ec3RNN\u6a21\u578b<\/li>\n<li>\u5e8f\u5217\u9884\u6d4b&#xff1a;\u7528RNN\u8fdb\u884c\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b<\/li>\n<li>\u6587\u672c\u751f\u6210&#xff1a;\u7528RNN\u5b66\u4e60\u6587\u672c\u98ce\u683c\u5e76\u751f\u6210\u65b0\u6587\u672c<\/li>\n<h4>\u5e94\u7528\u573a\u666f<\/h4>\n<p>RNN\u5e7f\u6cdb\u5e94\u7528\u4e8e&#xff1a;<\/p>\n<ul>\n<li>\u81ea\u7136\u8bed\u8a00\u5904\u7406&#xff08;\u6587\u672c\u751f\u6210\u3001\u673a\u5668\u7ffb\u8bd1\u3001\u60c5\u611f\u5206\u6790&#xff09;<\/li>\n<li>\u8bed\u97f3\u5904\u7406&#xff08;\u8bed\u97f3\u8bc6\u522b\u3001\u8bed\u97f3\u5408\u6210&#xff09;<\/li>\n<li>\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b&#xff08;\u80a1\u7968\u9884\u6d4b\u3001\u5929\u6c14\u9884\u62a5&#xff09;<\/li>\n<li>\u97f3\u4e50\u751f\u6210<\/li>\n<li>\u89c6\u9891\u5206\u6790<\/li>\n<\/ul>\n<h4>\u5c40\u9650\u6027\u4e0e\u6539\u8fdb<\/h4>\n<p>RNN\u7684\u4e3b\u8981\u5c40\u9650&#xff1a;<\/p>\n<ul>\n<li>\u68af\u5ea6\u6d88\u5931\u548c\u68af\u5ea6\u7206\u70b8<\/li>\n<li>\u65e0\u6cd5\u5e76\u884c\u8ba1\u7b97<\/li>\n<li>\u957f\u8ddd\u79bb\u4f9d\u8d56\u95ee\u9898<\/li>\n<\/ul>\n<p>\u6539\u8fdb\u65b9\u6848&#xff1a;<\/p>\n<ul>\n<li>LSTM\u548cGRU&#xff08;\u7b2c20\u7ae0\u8be6\u7ec6\u4ecb\u7ecd&#xff09;<\/li>\n<li>\u53cc\u5411RNN<\/li>\n<li>\u6ce8\u610f\u529b\u673a\u5236&#xff08;\u7b2c22\u7ae0\u8be6\u7ec6\u4ecb\u7ecd&#xff09;<\/li>\n<li>Transformer&#xff08;\u7b2c22-23\u7ae0\u8be6\u7ec6\u4ecb\u7ecd&#xff09;<\/li>\n<\/ul>\n<h4>\u4e0b\u4e00\u6b65<\/h4>\n<p>\u5728\u4e0b\u4e00\u7ae0\u4e2d&#xff0c;\u6211\u4eec\u5c06\u5b66\u4e60LSTM\u548cGRU\u8fd9\u4e24\u79cd\u6539\u8fdb\u7684RNN\u67b6\u6784&#xff0c;\u5b83\u4eec\u901a\u8fc7\u5f15\u5165\u95e8\u63a7\u673a\u5236\u6709\u6548\u89e3\u51b3\u4e86RNN\u7684\u68af\u5ea6\u6d88\u5931\u95ee\u9898&#xff0c;\u80fd\u591f\u66f4\u597d\u5730\u5904\u7406\u957f\u8ddd\u79bb\u4f9d\u8d56\u3002<\/p>\n<p>\u601d\u8003\u4e00\u4e0b&#xff1a;<\/p>\n<li>\n<p>\u4e3a\u4ec0\u4e48RNN\u5728\u5904\u7406\u957f\u5e8f\u5217\u65f6\u4f1a\u51fa\u73b0\u68af\u5ea6\u6d88\u5931\u95ee\u9898&#xff1f;\u8fd9\u4e0e\u6211\u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\/>\n\u4f8b\u5982&#xff0c;\u7406\u89e3\u53e5\u5b50\\&#8221;I love machine lea<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2873,50,86],"topic":[],"class_list":["post-74843","post","type-post","status-publish","format-standard","hentry","category-server","tag-rnn","tag-50","tag-86"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u7b2c19\u7ae0\uff1a\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08RNN\uff09\uff1a\u5904\u7406\u5e8f\u5217\u6570\u636e - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/74843.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" 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