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separator=\"true\">,<\/mo><msub><mi>x<\/mi><mi>t<\/mi><\/msub><mo stretchy=\"false\">]<\/mo><mo>+<\/mo><msub><mi>b<\/mi><mi>f<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>i<\/mi><mi>t<\/mi><\/msub><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mi>\u03c3<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>W<\/mi><mi>i<\/mi><\/msub><mo>\u22c5<\/mo><mo stretchy=\"false\">[<\/mo><msub><mi>h<\/mi><mrow><mi>t<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msub><mo separator=\"true\">,<\/mo><msub><mi>x<\/mi><mi>t<\/mi><\/msub><mo stretchy=\"false\">]<\/mo><mo>+<\/mo><msub><mi>b<\/mi><mi>i<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mover accent=\"true\"><mi>C<\/mi><mo>~<\/mo><\/mover><mi>t<\/mi><\/msub><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mi>tanh<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><msub><mi>W<\/mi><mi>C<\/mi><\/msub><mo>\u22c5<\/mo><mo stretchy=\"false\">[<\/mo><msub><mi>h<\/mi><mrow><mi>t<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msub><mo separator=\"true\">,<\/mo><msub><mi>x<\/mi><mi>t<\/mi><\/msub><mo stretchy=\"false\">]<\/mo><mo>+<\/mo><msub><mi>b<\/mi><mi>C<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>C<\/mi><mi>t<\/mi><\/msub><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><msub><mi>f<\/mi><mi>t<\/mi><\/msub><mo>\u2299<\/mo><msub><mi>C<\/mi><mrow><mi>t<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msub><mo>+<\/mo><msub><mi>i<\/mi><mi>t<\/mi><\/msub><mo>\u2299<\/mo><msub><mover accent=\"true\"><mi>C<\/mi><mo>~<\/mo><\/mover><mi>t<\/mi><\/msub><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>o<\/mi><mi>t<\/mi><\/msub><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><mi>\u03c3<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>W<\/mi><mi>o<\/mi><\/msub><mo>\u22c5<\/mo><mo stretchy=\"false\">[<\/mo><msub><mi>h<\/mi><mrow><mi>t<\/mi><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msub><mo separator=\"true\">,<\/mo><msub><mi>x<\/mi><mi>t<\/mi><\/msub><mo stretchy=\"false\">]<\/mo><mo>+<\/mo><msub><mi>b<\/mi><mi>o<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><msub><mi>h<\/mi><mi>t<\/mi><\/msub><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mrow><\/mrow><mo>=<\/mo><msub><mi>o<\/mi><mi>t<\/mi><\/msub><mo>\u2299<\/mo><mi>tanh<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><msub><mi>C<\/mi><mi>t<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><\/mtr><\/mtable><\/semantics><\/math><em>f<\/em><em>t<\/em>\u200b<em>i<\/em><em>t<\/em>\u200b<em>C<\/em>~<em>t<\/em>\u200b<em>C<\/em><em>t<\/em>\u200b<em>o<\/em><em>t<\/em>\u200b<em>h<\/em><em>t<\/em>\u200b\u200b=<em>\u03c3<\/em>(<em>W<\/em><em>f<\/em>\u200b\u22c5[<em>h<\/em><em>t<\/em>\u22121\u200b,<em>x<\/em><em>t<\/em>\u200b]+<em>b<\/em><em>f<\/em>\u200b)=<em>\u03c3<\/em>(<em>W<\/em><em>i<\/em>\u200b\u22c5[<em>h<\/em><em>t<\/em>\u22121\u200b,<em>x<\/em><em>t<\/em>\u200b]+<em>b<\/em><em>i<\/em>\u200b)=tanh(<em>W<\/em><em>C<\/em>\u200b\u22c5[<em>h<\/em><em>t<\/em>\u22121\u200b,<em>x<\/em><em>t<\/em>\u200b]+<em>b<\/em><em>C<\/em>\u200b)=<em>f<\/em><em>t<\/em>\u200b\u2299<em>C<\/em><em>t<\/em>\u22121\u200b+<em>i<\/em><em>t<\/em>\u200b\u2299<em>C<\/em>~<em>t<\/em>\u200b=<em>\u03c3<\/em>(<em>W<\/em><em>o<\/em>\u200b\u22c5[<em>h<\/em><em>t<\/em>\u22121\u200b,<em>x<\/em><em>t<\/em>\u200b]+<em>b<\/em><em>o<\/em>\u200b)=<em>o<\/em><em>t<\/em>\u200b\u2299tanh(<em>C<\/em><em>t<\/em>\u200b)\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>x<\/mi><mi>t<\/mi><\/msub><\/mrow><\/semantics><\/math><em>x<\/em><em>t<\/em>\u200b&nbsp;\u4e3at\u65f6\u523b\u8f93\u5165\u7279\u5f81\u5411\u91cf\uff0c<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>h<\/mi><mi>t<\/mi><\/msub><\/mrow><\/semantics><\/math><em>h<\/em><em>t<\/em>\u200b&nbsp;\u4e3a\u9690\u72b6\u6001\uff0c<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>C<\/mi><mi>t<\/mi><\/msub><\/mrow><\/semantics><\/math><em>C<\/em><em>t<\/em>\u200b&nbsp;\u4e3a\u5355\u5143\u72b6\u6001\u3002\u4e3a\u4e86\u540c\u65f6\u5229\u7528\u8fc7\u53bb\u548c\u672a\u6765\u4fe1\u606f\uff0c\u53cc\u5411LSTM\u5c06\u4e24\u4e2a\u65b9\u5411\u4e0a\u7684\u9690\u72b6\u6001\u62fc\u63a5\u8f93\u51fa\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2.3 \u6ce8\u610f\u529b\u673a\u5236\u5728\u6545\u969c\u8bca\u65ad\u4e2d\u7684\u5e94\u7528<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ce8\u610f\u529b\u673a\u5236\u6700\u521d\u7528\u4e8e\u673a\u5668\u7ffb\u8bd1\u4e2d\u7684\u5bf9\u9f50\u4efb\u52a1\uff0c\u540e\u88ab\u5f15\u5165\u6545\u969c\u8bca\u65ad\u9886\u57df\u4ee5\u589e\u5f3a\u5173\u952e\u65f6\u95f4\u6b65\u7684\u8d21\u732e\u3002\u7ed9\u5b9aLSTM\u8f93\u51fa\u7684\u9690\u72b6\u6001\u5e8f\u5217&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>H<\/mi><mo>=<\/mo><mo stretchy=\"false\">[<\/mo><msub><mi>h<\/mi><mn>1<\/mn><\/msub><mo separator=\"true\">,<\/mo><msub><mi>h<\/mi><mn>2<\/mn><\/msub><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">.<\/mi><mi mathvariant=\"normal\">.<\/mi><mi mathvariant=\"normal\">.<\/mi><mo separator=\"true\">,<\/mo><msub><mi>h<\/mi><mi>T<\/mi><\/msub><mo stretchy=\"false\">]<\/mo><\/mrow><\/semantics><\/math><em>H<\/em>=[<em>h<\/em>1\u200b,<em>h<\/em>2\u200b,&#8230;,<em>h<\/em><em>T<\/em>\u200b]\uff0c\u52a0\u6027\u6ce8\u610f\u529b\u8ba1\u7b97\u6743\u91cd&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>\u03b1<\/mi><mi>t<\/mi><\/msub><\/mrow><\/semantics><\/math><em>\u03b1<\/em><em>t<\/em>\u200b&nbsp;\u4e3a\uff1a<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi>\u03b1<\/mi><mi>t<\/mi><\/msub><mo>=<\/mo><mfrac><mrow><mi>exp<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><mtext>score<\/mtext><mo stretchy=\"false\">(<\/mo><msub><mi>h<\/mi><mi>t<\/mi><\/msub><mo separator=\"true\">,<\/mo><mi>q<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">)<\/mo><\/mrow><mrow><munderover><mo>\u2211<\/mo><mrow><mi>j<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mi>T<\/mi><\/munderover><mi>exp<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><mtext>score<\/mtext><mo stretchy=\"false\">(<\/mo><msub><mi>h<\/mi><mi>j<\/mi><\/msub><mo separator=\"true\">,<\/mo><mi>q<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">)<\/mo><\/mrow><\/mfrac><\/mrow><\/semantics><\/math><em>\u03b1<\/em><em>t<\/em>\u200b=\u2211<em>j<\/em>=1<em>T<\/em>\u200bexp(score(<em>h<\/em><em>j<\/em>\u200b,<em>q<\/em>))exp(score(<em>h<\/em><em>t<\/em>\u200b,<em>q<\/em>))\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>q<\/mi><\/mrow><\/semantics><\/math><em>q<\/em>&nbsp;\u4e3a\u67e5\u8be2\u5411\u91cf\uff08\u53ef\u5b66\u4e60\u6216\u57fa\u4e8e\u5168\u5c40\u6c60\u5316\u83b7\u5f97\uff09\uff0c<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mtext>score<\/mtext><\/mrow><\/semantics><\/math>score&nbsp;\u901a\u5e38\u91c7\u7528\u70b9\u79ef\u6216\u62fc\u63a5\u5f62\u5f0f\u3002\u591a\u5934\u6ce8\u610f\u529b\u5219\u5e76\u884c\u8ba1\u7b97\u591a\u4e2a\u6ce8\u610f\u529b\u5206\u5e03\uff0c\u4f7f\u6a21\u578b\u80fd\u591f\u4ece\u4e0d\u540c\u5b50\u7a7a\u95f4\u6355\u6349\u9000\u5316\u6a21\u5f0f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3 \u6240\u63d0\u65b9\u6cd5<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">3.1 \u6574\u4f53\u7f51\u7edc\u67b6\u6784<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u6587\u63d0\u51fa\u7684\u5bff\u547d\u9884\u6d4b\u6a21\u578b\u4e3b\u8981\u5305\u62ec\u56db\u4e2a\u6a21\u5757\uff1a<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>\u6570\u636e\u9884\u5904\u7406\u5c42<\/strong>\uff1a\u5bf9\u539f\u59cb\u632f\u52a8\u3001\u7535\u6d41\u3001\u6e29\u5ea6\u4fe1\u53f7\u8fdb\u884c\u6ed1\u52a8\u7a97\u53e3\u5206\u5272\u3001\u5f52\u4e00\u5316\u53ca\u5f02\u5e38\u503c\u5254\u9664\u3002<\/li>\n\n\n\n<li><strong>\u53cc\u5411LSTM\u7f16\u7801\u5c42<\/strong>\uff1a\u8bbe\u7f6e128\u4e2a\u9690\u85cf\u5355\u5143\uff0c\u5806\u53e0\u4e24\u5c42\uff0c\u8f93\u51fa\u5b8c\u6574\u65f6\u5e8f\u9690\u72b6\u6001\u5e8f\u5217\u3002<\/li>\n\n\n\n<li><strong>\u591a\u5934\u6ce8\u610f\u529b\u5c42<\/strong>\uff1a\u4f7f\u75284\u4e2a\u6ce8\u610f\u529b\u5934\uff0c\u5bf9\u9690\u72b6\u6001\u5e8f\u5217\u8fdb\u884c\u52a0\u6743\u878d\u5408\uff0c\u8f93\u51fa\u4e0a\u4e0b\u6587\u5411\u91cf\u3002<\/li>\n\n\n\n<li><strong>\u56de\u5f52\u8f93\u51fa\u5c42<\/strong>\uff1a\u7531\u4e24\u4e2a\u5168\u8fde\u63a5\u5c42\uff0864-32-1\uff09\u7ec4\u6210\uff0c\u91c7\u7528ReLU\u6fc0\u6d3b\u4e0eDropout\u6b63\u5219\u5316\uff0c\u8f93\u51fa\u5269\u4f59\u5bff\u547d\u767e\u5206\u6bd4\uff080-1\u4e4b\u95f4\uff09\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u9632\u6b62\u8fc7\u62df\u5408\uff0c\u5728LSTM\u5c42\u540e\u6dfb\u52a050%\u7684Dropout\uff0c\u5e76\u5bf9\u6ce8\u610f\u529b\u6743\u91cd\u65bd\u52a0L2\u6b63\u5219\u5316\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.2 \u9000\u5316\u654f\u611f\u6ce8\u610f\u529b\u6b63\u5219\u5316<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u6807\u51c6\u6ce8\u610f\u529b\u673a\u5236\u53ef\u80fd\u503e\u5411\u4e8e\u5173\u6ce8\u5e45\u503c\u5927\u7684\u5f02\u5e38\u70b9\u800c\u5ffd\u7565\u4e86\u65e9\u671f\u7f13\u6162\u7d2f\u79ef\u7684\u9000\u5316\u4fe1\u606f\u3002\u4e3a\u6b64\uff0c\u672c\u6587\u8bbe\u8ba1\u4e86\u4e00\u79cd\u9000\u5316\u654f\u611f\u5ea6\u6743\u91cd\u60e9\u7f5a\u9879\u3002\u4ee4\u771f\u5b9e\u5269\u4f59\u5bff\u547d\u66f2\u7ebf\u4e3a&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>R<\/mi><mi>U<\/mi><mi>L<\/mi><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/semantics><\/math><em>R<\/em><em>UL<\/em>(<em>t<\/em>)\uff08\u5f52\u4e00\u5316\u5230[0,1]\uff09\uff0c\u5b9a\u4e49t\u65f6\u523b\u7684\u9000\u5316\u901f\u7387\u4e3a&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>d<\/mi><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi mathvariant=\"normal\">\u2223<\/mi><mi>R<\/mi><mi>U<\/mi><msup><mi>L<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo stretchy=\"false\">)<\/mo><mi mathvariant=\"normal\">\u2223<\/mi><\/mrow><\/semantics><\/math><em>d<\/em>(<em>t<\/em>)=\u2223<em>R<\/em><em>U<\/em><em>L<\/em>\u2032(<em>t<\/em>)\u2223\u3002\u6ce8\u610f\u529b\u6743\u91cd&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>\u03b1<\/mi><mi>t<\/mi><\/msub><\/mrow><\/semantics><\/math><em>\u03b1<\/em><em>t<\/em>\u200b&nbsp;\u7684\u7406\u60f3\u5206\u5e03\u5e94\u4e0e&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>d<\/mi><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/semantics><\/math><em>d<\/em>(<em>t<\/em>)&nbsp;\u6b63\u76f8\u5173\uff0c\u5373\u9000\u5316\u8d8a\u5feb\u7684\u65f6\u95f4\u70b9\u5e94\u83b7\u5f97\u8d8a\u9ad8\u6743\u91cd\u3002\u56e0\u6b64\u5f15\u5165KL\u6563\u5ea6\u4f5c\u4e3a\u6b63\u5219\u9879\uff1a<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msub><mi mathvariant=\"script\">L<\/mi><mtext>att-reg<\/mtext><\/msub><mo>=<\/mo><mtext>KL<\/mtext><mo stretchy=\"false\">(<\/mo><mover accent=\"true\"><mi>\u03b1<\/mi><mo>^<\/mo><\/mover><mo>\u2225<\/mo><mi>\u03b1<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><munderover><mo>\u2211<\/mo><mrow><mi>t<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mi>T<\/mi><\/munderover><msub><mover accent=\"true\"><mi>\u03b1<\/mi><mo>^<\/mo><\/mover><mi>t<\/mi><\/msub><mi>log<\/mi><mo>\u2061<\/mo><mrow><mo fence=\"true\">(<\/mo><mfrac><msub><mover accent=\"true\"><mi>\u03b1<\/mi><mo>^<\/mo><\/mover><mi>t<\/mi><\/msub><mrow><msub><mi>\u03b1<\/mi><mi>t<\/mi><\/msub><mo>+<\/mo><mi>\u03f5<\/mi><\/mrow><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><\/semantics><\/math>Latt-reg\u200b=KL(<em>\u03b1<\/em>^\u2225<em>\u03b1<\/em>)=<em>t<\/em>=1\u2211<em>T<\/em>\u200b<em>\u03b1<\/em>^<em>t<\/em>\u200blog(<em>\u03b1<\/em><em>t<\/em>\u200b+<em>\u03f5<\/em><em>\u03b1<\/em>^<em>t<\/em>\u200b\u200b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mover accent=\"true\"><mi>\u03b1<\/mi><mo>^<\/mo><\/mover><mi>t<\/mi><\/msub><mo>=<\/mo><mtext>softmax<\/mtext><mo stretchy=\"false\">(<\/mo><mi>d<\/mi><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">)<\/mo><\/mrow><\/semantics><\/math><em>\u03b1<\/em>^<em>t<\/em>\u200b=softmax(<em>d<\/em>(<em>t<\/em>))&nbsp;\u4e3a\u76ee\u6807\u6743\u91cd\u5206\u5e03\u3002\u603b\u635f\u5931\u51fd\u6570\u4e3a\u9884\u6d4b\u5bff\u547d\u4e0e\u771f\u5b9e\u5bff\u547d\u7684\u5747\u65b9\u8bef\u5dee\u52a0\u4e0a\u6ce8\u610f\u529b\u6b63\u5219\u9879\uff1a<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"script\">L<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mi>N<\/mi><\/mfrac><munderover><mo>\u2211<\/mo><mrow><mi>i<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mi>N<\/mi><\/munderover><mo stretchy=\"false\">(<\/mo><msub><mi>y<\/mi><mi>i<\/mi><\/msub><mo>\u2212<\/mo><msub><mover accent=\"true\"><mi>y<\/mi><mo>^<\/mo><\/mover><mi>i<\/mi><\/msub><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mi>\u03bb<\/mi><mo>\u22c5<\/mo><msub><mi mathvariant=\"script\">L<\/mi><mtext>att-reg<\/mtext><\/msub><\/mrow><\/semantics><\/math>L=<em>N<\/em>1\u200b<em>i<\/em>=1\u2211<em>N<\/em>\u200b(<em>y<\/em><em>i<\/em>\u200b\u2212<em>y<\/em>^\u200b<em>i<\/em>\u200b)2+<em>\u03bb<\/em>\u22c5Latt-reg\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03bb<\/mi><\/mrow><\/semantics><\/math><em>\u03bb<\/em>&nbsp;\u4e3a\u5e73\u8861\u7cfb\u6570\uff08\u5b9e\u9a8c\u53d60.01\uff09\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3.3 \u8bad\u7ec3\u7b56\u7565<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u91c7\u7528Adam\u4f18\u5316\u5668\uff0c\u521d\u59cb\u5b66\u4e60\u73870.001\uff0c\u6279\u5927\u5c0f64\uff0c\u65e9\u505c\u7b56\u7565\u57fa\u4e8e\u9a8c\u8bc1\u96c6\u635f\u5931\uff08\u8010\u5fc3\u503c20\u8f6e\uff09\u3002\u4f7f\u7528\u7a97\u53e3\u5927\u5c0f\u4e3a50\u6b65\u7684\u6ed1\u52a8\u8f93\u5165\uff08\u5bf9\u5e945\u79d2\u76d1\u6d4b\u6570\u636e\uff0c\u91c7\u6837\u738710Hz\uff09\uff0c\u9884\u6d4b\u6b65\u8fdb\u4e3a1\u6b65\u3002\u8bad\u7ec3\u96c6\u4e0e\u6d4b\u8bd5\u96c6\u63097:3\u5212\u5206\uff0c\u5e76\u91c7\u7528\u4e0d\u540c\u673a\u5668\u4eba\u4e2a\u4f53\u6570\u636e\u4ea4\u53c9\u9a8c\u8bc1\u4ee5\u4fdd\u8bc1\u6cdb\u5316\u6027\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4 \u5b9e\u9a8c\u8bbe\u7f6e\u4e0e\u7ed3\u679c\u5206\u6790<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">4.1 \u5b9e\u9a8c\u6570\u636e\u63cf\u8ff0<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9e\u9a8c\u6570\u636e\u6765\u81ea\u67d0\u56fd\u4ea7\u5de5\u4e1a\u673a\u5668\u4eba\u8c10\u6ce2\u51cf\u901f\u5668\u52a0\u901f\u9000\u5316\u8bd5\u9a8c\u53f0\u3002\u8bd5\u9a8c\u4e2d\uff0c\u673a\u5668\u4eba\u5173\u8282\u4ee5\u989d\u5b9a\u8f6c\u901f\u7684150%\u8fde\u7eed\u8fd0\u884c\uff0c\u540c\u65f6\u5468\u671f\u6027\u65bd\u52a0\u9636\u8dc3\u8d1f\u8f7d\uff08\u4ece0%\u5230120%\u989d\u5b9a\u8f6c\u77e9\uff09\u3002\u76d1\u6d4b\u53c2\u6570\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u58f3\u4f53\u632f\u52a8\uff08\u4e09\u8f74\u52a0\u901f\u5ea6\u8ba1\uff0c\u91c7\u6837\u73872kHz\uff0c\u63d0\u53d6\u7279\u5f81\u9891\u5e26\u80fd\u91cf\uff09<\/li>\n\n\n\n<li>\u9a71\u52a8\u7535\u6d41\uff08\u5747\u65b9\u6839\u503c\uff0c\u91c7\u6837\u7387100Hz\uff09<\/li>\n\n\n\n<li>\u58f3\u4f53\u6e29\u5ea6\uff08\u70ed\u7535\u5076\uff0c\u91c7\u6837\u73871Hz\uff09<\/li>\n\n\n\n<li>\u8f93\u51fa\u7aef\u7f16\u7801\u5668\u8bef\u5dee\uff08\u53cd\u6620\u56de\u5dee\u589e\u5927\uff09<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5171\u91c7\u96c68\u53f0\u5173\u8282\u7684\u5168\u5bff\u547d\u6570\u636e\uff0c\u4ece\u5065\u5eb7\u72b6\u6001\uff08RUL\u2248100%\uff09\u5230\u7cbe\u5ea6\u5931\u6548\uff08\u5b9a\u4f4d\u8bef\u5dee\u8d85\u8fc70.1mm\uff0cRUL\u22480%\uff09\uff0c\u6bcf\u53f0\u91c7\u96c6\u7ea62000\u4e2a\u91c7\u6837\u70b9\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">4.2 \u5bf9\u6bd4\u65b9\u6cd5\u4e0e\u8bc4\u4ef7\u6307\u6807<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u6bd4\u65b9\u6cd5\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6807\u51c6LSTM<\/strong>\uff1a\u5355\u5c4264\u5355\u5143\uff0c\u65e0\u6ce8\u610f\u529b\u673a\u5236\u3002<\/li>\n\n\n\n<li><strong>CNN-LSTM<\/strong>\uff1a\u5148\u4f7f\u7528\u4e00\u7ef4\u5377\u79ef\u63d0\u53d6\u5c40\u90e8\u7279\u5f81\uff0c\u518d\u8f93\u5165LSTM\u3002<\/li>\n\n\n\n<li><strong>\u652f\u6301\u5411\u91cf\u56de\u5f52\uff08SVR\uff09<\/strong>\uff1a\u4ee5\u539f\u59cb\u65f6\u5e8f\u7edf\u8ba1\u7279\u5f81\uff08\u5747\u503c\u3001\u65b9\u5dee\u3001\u5cf0\u5ea6\u7b49\uff09\u4e3a\u8f93\u5165\u3002<\/li>\n\n\n\n<li><strong>Transformer<\/strong>\uff1a\u4ec5\u4f7f\u7528\u7f16\u7801\u5668\u90e8\u5206\uff0c\u4f4d\u7f6e\u7f16\u7801+\u81ea\u6ce8\u610f\u529b\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bc4\u4ef7\u6307\u6807\u4e3a\u5747\u65b9\u6839\u8bef\u5dee\uff08RMSE\uff09\u3001\u5e73\u5747\u7edd\u5bf9\u767e\u5206\u6bd4\u8bef\u5dee\uff08MAPE\uff09\u53ca\u51b3\u5b9a\u7cfb\u6570&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>2<\/mn><\/msup><\/mrow><\/semantics><\/math><em>R<\/em>2\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">4.3 \u7ed3\u679c\u5206\u6790<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u88681 \u5404\u65b9\u6cd5\u9884\u6d4b\u6027\u80fd\u5bf9\u6bd4<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">\u65b9\u6cd5<\/th><th class=\"has-text-align-left\" data-align=\"left\">RMSE (%)<\/th><th class=\"has-text-align-left\" data-align=\"left\">MAPE (%)<\/th><th class=\"has-text-align-left\" data-align=\"left\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>R<\/mi><mn>2<\/mn><\/msup><\/mrow><\/semantics><\/math><em>R<\/em>2<\/th><\/tr><\/thead><tbody><tr><td>SVR<\/td><td>12.34<\/td><td>18.76<\/td><td>0.712<\/td><\/tr><tr><td>LSTM<\/td><td>8.21<\/td><td>11.45<\/td><td>0.845<\/td><\/tr><tr><td>CNN-LSTM<\/td><td>7.03<\/td><td>9.82<\/td><td>0.883<\/td><\/tr><tr><td>Transformer<\/td><td>6.87<\/td><td>9.51<\/td><td>0.891<\/td><\/tr><tr><td><strong>\u672c\u6587\u65b9\u6cd5<\/strong><\/td><td><strong>5.12<\/strong><\/td><td><strong>7.04<\/strong><\/td><td><strong>0.934<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u88681\u53ef\u89c1\uff0c\u672c\u6587\u65b9\u6cd5\u5728\u6240\u6709\u6307\u6807\u4e0a\u5747\u53d6\u5f97\u6700\u4f18\u3002\u4e0e\u6807\u51c6LSTM\u76f8\u6bd4\uff0cRMSE\u964d\u4f4e37.6%\uff0c\u8868\u660e\u6ce8\u610f\u529b\u673a\u5236\u6709\u6548\u6291\u5236\u4e86\u65e0\u5173\u65f6\u95f4\u6b65\u7684\u566a\u58f0\u5e72\u6270\u3002\u5c24\u5176\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5728\u65e9\u671f\u9000\u5316\u9636\u6bb5\uff08RUL&gt;80%\uff09\uff0cSVR\u548cLSTM\u7684\u9884\u6d4b\u8bef\u5dee\u8f83\u5927\uff0c\u56e0\u4e3a\u4fe1\u53f7\u53d8\u5316\u5fae\u5f31\uff1b\u800c\u672c\u6587\u65b9\u6cd5\u7531\u4e8e\u9000\u5316\u654f\u611f\u6b63\u5219\u5316\u7684\u5f15\u5165\uff0c\u6ce8\u610f\u529b\u6743\u91cd\u8f83\u65e9\u5730\u5411\u8d8b\u52bf\u6027\u53d8\u5316\u504f\u79fb\uff0c\u4ece\u800c\u63d0\u524d\u611f\u77e5\u5230\u9000\u5316\u8d77\u59cb\u70b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u901a\u8fc7\u53ef\u89c6\u5316\u6ce8\u610f\u529b\u70ed\u529b\u56fe\uff08\u6b64\u5904\u7565\u53bb\u56fe\u50cf\uff0c\u6587\u5b57\u63cf\u8ff0\uff09\uff0c\u53d1\u73b0\u5f53\u5173\u8282\u63a5\u8fd1\u5931\u6548\u65f6\uff08RUL&lt;20%\uff09\uff0c\u6a21\u578b\u5c0680%\u4ee5\u4e0a\u7684\u6ce8\u610f\u529b\u96c6\u4e2d\u5728\u6700\u540e10\u4e2a\u65f6\u95f4\u6b65\uff0c\u8fd9\u7b26\u5408\u76f4\u89c9\u2014\u2014\u665a\u671f\u9000\u5316\u4fe1\u606f\u5bc6\u5ea6\u6700\u9ad8\u3002\u4f46\u5728RUL\u5904\u4e8e40%-60%\u533a\u95f4\u65f6\uff0c\u6807\u51c6\u591a\u5934\u6ce8\u610f\u529b\u4ecd\u805a\u7126\u4e8e\u665a\u671f\uff0c\u800c\u672c\u6587\u6b63\u5219\u5316\u540e\u7684\u6ce8\u610f\u529b\u5206\u5e03\u66f4\u4e3a\u5747\u5300\u5730\u5206\u5e03\u5728\u4e2d\u671f\u6e10\u8fdb\u9000\u5316\u9636\u6bb5\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">4.4 \u6d88\u878d\u5b9e\u9a8c<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u9a8c\u8bc1\u9000\u5316\u654f\u611f\u6b63\u5219\u5316\u7684\u6709\u6548\u6027\uff0c\u8fdb\u884c\u6d88\u878d\u5b9e\u9a8c\uff1a\u79fb\u9664\u6b63\u5219\u9879\u540e\u7684\u6a21\u578b\uff08\u672c\u6587-no-reg\uff09\u5728\u6d4b\u8bd5\u96c6\u4e0aRMSE\u5347\u81f36.08%\uff0cMAPE\u4e3a8.85%\uff0c\u4ecd\u4f18\u4e8eLSTM\u4f46\u52a3\u4e8e\u5b8c\u6574\u6a21\u578b\u3002\u8bf4\u660e\u6b63\u5219\u5316\u867d\u7136\u5f3a\u5236\u6ce8\u610f\u529b\u670d\u4ece\u9884\u8bbe\u7684\u9000\u5316\u901f\u7387\u5206\u5e03\uff0c\u4f46\u8fd9\u4e00\u5148\u9a8c\u4fe1\u606f\u5728\u771f\u5b9e\u6570\u636e\u4e2d\u786e\u5b9e\u8d77\u5230\u4e86\u201c\u8bfe\u7a0b\u5b66\u4e60\u201d\uff08\u4ece\u6613\u5230\u96be\u5173\u6ce8\u9000\u5316\u6a21\u5f0f\uff09\u7684\u6b63\u5411\u5f15\u5bfc\u4f5c\u7528\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5 \u8ba8\u8bba<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">5.1 \u6a21\u578b\u53ef\u89e3\u91ca\u6027<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u9ed1\u7bb1\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u4e0d\u540c\uff0c\u672c\u6587\u65b9\u6cd5\u53ef\u901a\u8fc7\u6ce8\u610f\u529b\u6743\u91cd\u89c6\u89c9\u5316\u63d0\u4f9b\u4e00\u5b9a\u7a0b\u5ea6\u7684\u53ef\u89e3\u91ca\u6027\u3002\u4f8b\u5982\uff0c\u5728\u8c10\u6ce2\u51cf\u901f\u5668\u9f7f\u9762\u78e8\u635f\u9636\u6bb5\uff0c\u6ce8\u610f\u529b\u7684\u9ad8\u4eae\u65f6\u95f4\u6b65\u5bf9\u5e94\u9a71\u52a8\u7535\u6d41\u4e2d\u51fa\u73b0\u975e\u5468\u671f\u6027\u6ce2\u52a8\u7684\u533a\u57df\uff1b\u800c\u5728\u8f74\u627f\u6e38\u9699\u589e\u5927\u9636\u6bb5\uff0c\u9ad8\u4eae\u6b65\u5bf9\u5e94\u632f\u52a8\u4fe1\u53f7\u4e2d\u7279\u5b9a\u9891\u5e26\u5e45\u503c\u7684\u6301\u7eed\u4e0a\u5347\u3002\u8fd0\u7ef4\u4eba\u5458\u53ef\u636e\u6b64\u53cd\u5411\u63a8\u65ad\u5f53\u524d\u4e3b\u5bfc\u5931\u6548\u6a21\u5f0f\uff0c\u4e3a\u9488\u5bf9\u6027\u7ef4\u62a4\u63d0\u4f9b\u4f9d\u636e\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">5.2 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