{"id":1474,"date":"2024-10-30T17:30:37","date_gmt":"2024-10-30T09:30:37","guid":{"rendered":"https:\/\/thereisno.top\/?p=1474"},"modified":"2024-12-19T13:53:13","modified_gmt":"2024-12-19T05:53:13","slug":"%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%e5%8e%9f%e7%90%86","status":"publish","type":"post","link":"https:\/\/thereisno.top\/?p=1474","title":{"rendered":"\u795e\u7ecf\u7f51\u7edc\u539f\u7406"},"content":{"rendered":"\n

\u795e\u7ecf\u7f51\u7edc\u662f\u4ec0\u4e48?<\/h4>\n

\u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u7ec4\u53d7\u4eba\u7c7b\u5927\u8111\u529f\u80fd\u542f\u53d1\u7684\u7b97\u6cd5\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5f53\u4f60\u7741\u5f00\u773c\u775b\u65f6\uff0c\u4f60\u770b\u5230\u7684\u4e1c\u897f\u53eb\u505a\u6570\u636e\uff0c\u518d\u7531\u4f60\u5927\u8111\u4e2d\u7684 Nuerons\uff08\u6570\u636e\u5904\u7406\u7684\u7ec6\u80de\uff09\u5904\u7406\uff0c\u5e76\u8bc6\u522b\u51fa\u4f60\u5468\u56f4\u7684\u4e1c\u897f\uff0c\u8fd9\u4e5f\u662f\u795e\u7ecf\u7f51\u7edc\u7684\u5de5\u4f5c\u539f\u7406\u3002<\/mark>\u795e\u7ecf\u7f51\u7edc\u6709\u65f6\u88ab\u79f0\u4e3a\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\uff08Artificial Neural Network\uff0cANN\uff09\uff0c\u5b83\u4eec\u4e0d\u50cf\u4f60\u5927\u8111\u4e2d\u7684\u795e\u7ecf\u5143\u90a3\u6837\u662f\u81ea\u7136\u7684\uff0c\u800c\u662f\u4eba\u5de5\u6a21\u62df\u795e\u7ecf\u7f51\u7edc\u7684\u6027\u8d28\u548c\u529f\u80fd\u3002<\/p>\n\n\n\n\n\n\n\n

\u795e\u7ecf\u7f51\u7edc\u7684\u7ec4\u6210\uff1f<\/h4>\n

\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u662f\u7531\u5927\u91cf\u9ad8\u5ea6\u76f8\u4e92\u5173\u8054\u7684\u5904\u7406\u5355\u5143\uff08\u795e\u7ecf\u5143\uff09\u534f\u540c\u5de5\u4f5c\u6765\u89e3\u51b3\u7279\u5b9a\u95ee\u9898\u3002\u9996\u5148\u4ecb\u7ecd\u4e00\u79cd\u540d\u4e3a\u611f\u77e5\u673a<\/strong>\u7684\u795e\u7ecf\u5143\u3002\u611f\u77e5\u673a\u63a5\u6536\u82e5\u5e72\u4e2a\u8f93\u5165\uff0c\u6bcf\u4e2a\u8f93\u5165\u5bf9\u5e94\u4e00\u4e2a\u6743\u91cd\u503c\uff08\u53ef\u4ee5\u770b\u6210\u5e38\u6570\uff09\uff0c\u4ea7\u51fa\u4e00\u4e2a\u8f93\u51fa\u3002<\/p>\n\n

\u63a5\u4e0b\u6765\u7528\u4e00\u4e2a\u751f\u6d3b\u4e2d\u7684\u4f8b\u5b50\u5f62\u8c61\u7406\u89e3\u611f\u77e5\u673a\uff0c\u5047\u8bbe\u4e00\u4e2a\u573a\u666f\uff0c\u5468\u672b\u53bb\u722c\u5c71\uff0c\u6709\u4ee5\u4e0b\u4e09\u79cd\u8f93\u5165\uff08\u53ef\u4ee5\u7406\u89e3\u4e3a\u5f71\u54cd\u56e0\u7d20\uff09\uff1a<\/p>\n

    \n
  1. \u7537\/\u5973\u670b\u53cb\u662f\u5426\u966a\u4f60\u53bb\uff1b<\/li>\n
  2. \u5929\u6c14\u662f\u5426\u6076\u52a3\uff1b<\/li>\n
  3. \u8ddd\u79bb\u767b\u5c71\u5730\u70b9\u662f\u5426\u65b9\u4fbf\uff1b<\/li>\n<\/ol>\n

    \u5bf9\u4e8e\u4f60\u6765\u8bf4\uff0c\u8f93\u5165\uff082\uff09\u5f71\u54cd\u975e\u5e38\u5927\uff0c\u8fd9\u6837\u5c31\u8bbe\u7f6e\u7684\u6743\u91cd\u503c\u5c31\u5927\uff0c\u8f93\u5165\uff083\uff09\u7684\u5f71\u54cd\u7684\u6bd4\u8f83\u5c0f\uff0c\u6743\u91cd\u503c\u5c31\u5c0f\u3002<\/p>\n

    \u518d\u5c06\u8f93\u5165\u4e8c\u503c\u5316\uff0c\u5bf9\u4e8e\u5929\u6c14\u4e0d\u6076\u52a3\uff0c\u8bbe\u7f6e\u4e3a 1\uff08x<\/mi>2<\/mn><\/msub>=<\/mo>1<\/mn><\/mrow>x_2=1<\/annotation><\/semantics><\/math>\uff09\uff0c\u5bf9\u4e8e\u5929\u6c14\u6076\u52a3\uff0c\u8bbe\u7f6e\u4e3a 0\uff08x<\/mi>2<\/mn><\/msub>=<\/mo>0<\/mn><\/mrow>x_2=0<\/annotation><\/semantics><\/math>\uff09\uff0c\u5929\u6c14\u7684\u5f71\u54cd\u7a0b\u5ea6\u901a\u8fc7\u6743\u91cd\u503c\u4f53\u73b0\uff0c\u8bbe\u7f6e\u4e3a 10\uff08w<\/mi>1<\/mn><\/msub>=<\/mo>10<\/mn><\/mrow>w_1=10<\/annotation><\/semantics><\/math>\uff09\u3002\u540c\u6837\u8bbe\u7f6e\u8f93\u5165\uff081\uff09\u7684\u6743\u503c\u4e3a 8\uff08w<\/mi>2<\/mn><\/msub>=<\/mo>8<\/mn><\/mrow>w_2=8<\/annotation><\/semantics><\/math>\uff09\uff0c\u8f93\u5165\uff083\uff09\u7684\u6743\u91cd\u503c\u4e3a 1\uff08w<\/mi>3<\/mn><\/msub>=<\/mo>1<\/mn><\/mrow>w_3=1<\/annotation><\/semantics><\/math>\uff09\u3002\u8f93\u51fa\u4e8c\u503c\u5316\u662f\u53bb\u722c\u5c71\u4e3a 1\uff08y<\/mi>=<\/mo>1<\/mn><\/mrow>y=1<\/annotation><\/semantics><\/math>\uff09\uff0c\u4e0d\u53bb\u4e3a 0\uff08y<\/mi>=<\/mo>0<\/mn><\/mrow>y=0<\/annotation><\/semantics><\/math>\uff09\u3002<\/p>\n

    \u5047\u8bbe\u5bf9\u4e8e\u611f\u77e5\u673a\uff0c\u5982\u679c (<\/mo>x<\/mi>1<\/mn><\/msub>\u00d7<\/mo>w<\/mi>1<\/mn><\/msub>+<\/mo>x<\/mi>2<\/mn><\/msub>\u00d7<\/mo>w<\/mi>2<\/mn><\/msub>+<\/mo>x<\/mi>3<\/mn><\/msub>\u00d7<\/mo>w<\/mi>3<\/mn><\/msub>)<\/mo><\/mrow>(x_1 \\times w_1 + x_2 \\times w_2 + x_3 \\times w_3)<\/annotation><\/semantics><\/math> \u7684\u7ed3\u679c\u5927\u4e8e\u67d0\u9608\u503c\uff08\u5982 5\uff09\uff0c\u8868\u793a\u53bb\u722c\u5c71 y<\/mi>=<\/mo>1<\/mn><\/mrow>y=1<\/annotation><\/semantics><\/math>\uff0c\u968f\u673a\u8c03\u6574\u6743\u91cd\u548c\u9608\u503c\uff0c\u611f\u77e5\u673a\u7684\u7ed3\u679c\u4f1a\u4e0d\u4e00\u6837\u3002<\/p>\n

    \u4e00\u4e2a\u5178\u578b\u7684\u795e\u7ecf\u7f51\u7edc\u6709\u6210\u767e\u4e0a\u5343\u4e2a\u795e\u7ecf\u5143\uff08\u611f\u77e5\u673a\uff09\uff0c\u6392\u6210\u4e00\u5217\u7684\u795e\u7ecf\u5143\u4e5f\u79f0\u4e3a\u5355\u5143<\/strong>\u6216\u662f\u5c42<\/strong>\uff0c\u6bcf\u4e00\u5217\u7684\u795e\u7ecf\u5143\u4f1a\u8fde\u63a5\u5de6\u53f3\u4e24\u8fb9\u7684\u795e\u7ecf\u5143\u3002\u611f\u77e5\u673a\u6709\u8f93\u5165\u548c\u8f93\u51fa\uff0c\u5bf9\u4e8e\u795e\u7ecf\u7f51\u7edc\u662f\u6709\u8f93\u5165\u5355\u5143\u4e0e\u8f93\u51fa\u5355\u5143\uff0c\u5728\u8f93\u5165\u5355\u5143\u548c\u8f93\u51fa\u5355\u5143\u4e4b\u95f4\u662f\u4e00\u5c42\u6216\u591a\u5c42\u79f0\u4e3a\u9690\u85cf\u5355\u5143\u3002\u4e00\u4e2a\u5355\u5143\u548c\u53e6\u4e00\u4e2a\u5355\u5143\u4e4b\u95f4\u7684\u8054\u7cfb\u7528\u6743\u91cd\u8868\u793a\uff0c\u6743\u91cd\u53ef\u4ee5\u662f\u6b63\u6570\uff08\u5982\u4e00\u4e2a\u5355\u5143\u6fc0\u53d1\u53e6\u4e00\u4e2a\u5355\u5143\uff09 \uff0c\u4e5f\u53ef\u4ee5\u662f\u8d1f\u6570\uff08\u5982\u4e00\u4e2a\u5355\u5143\u6291\u5236\u6216\u6291\u5236\u53e6\u4e00\u4e2a\u5355\u5143\uff09\u3002\u6743\u91cd\u8d8a\u9ad8\uff0c\u4e00\u4e2a\u5355\u4f4d\u5bf9\u53e6\u4e00\u4e2a\u5355\u4f4d\u7684\u5f71\u54cd\u5c31\u8d8a\u5927\u3002<\/p>\n<\/img>\n

    \u795e\u7ecf\u7f51\u7edc\u5982\u4f55\u5de5\u4f5c\uff1f<\/h4>\n

    \u795e\u7ecf\u7f51\u7edc\u7684\u5de5\u4f5c\u5927\u81f4\u53ef\u5206\u4e3a\u524d\u5411\u4f20\u64ad<\/strong>\u548c\u53cd\u5411\u4f20\u64ad<\/strong>\uff0c\u7c7b\u6bd4\u4eba\u4eec\u5b66\u4e60\u7684\u8fc7\u7a0b\uff0c\u524d\u5411\u4f20\u64ad\u5982\u8bfb\u4e66\u671f\u95f4\uff0c\u5b66\u751f\u8ba4\u771f\u5b66\u4e60\u77e5\u8bc6\u70b9\uff0c\u8fdb\u884c\u8003\u8bd5\uff0c\u83b7\u5f97\u81ea\u5df1\u5bf9\u77e5\u8bc6\u70b9\u7684\u638c\u63e1\u7a0b\u5ea6\uff1b\u53cd\u5411\u4f20\u64ad\u662f\u5b66\u751f\u83b7\u5f97\u8003\u8bd5\u6210\u7ee9\u4f5c\u4e3a\u53cd\u9988\uff0c\u8c03\u6574\u5b66\u4e60\u77e5\u8bc6\u7684\u4fa7\u91cd\u70b9\u3002<\/p>\n

    \u4ee5\u4e0b\u5c55\u793a\u4e86 2 \u4e2a\u8f93\u5165\u548c 2 \u4e2a\u8f93\u51fa\u7684\u795e\u7ecf\u7f51\u7edc\uff1a <\/p>\n

    \u524d\u5411\u4f20\u64ad<\/strong>\u5bf9\u5e94\u7684\u8f93\u51fa\u4e3a y<\/mi>1<\/mn><\/msub>y_1<\/annotation><\/semantics><\/math> \u548c y<\/mi>2<\/mn><\/msub>y_2<\/annotation><\/semantics><\/math>\uff0c\u6362\u6210\u77e9\u9635\u8868\u793a\u4e3a<\/p>\n

    (<\/mo>w<\/mi>1<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd>w<\/mi>2<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd><\/mtr>w<\/mi>1<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd>w<\/mi>2<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd><\/mtr><\/mtable>)<\/mo><\/mrow>*<\/mo>(<\/mo>x<\/mi>1<\/mn><\/msub><\/mtd><\/mtr>x<\/mi>2<\/mn><\/msub><\/mtd><\/mtr><\/mtable>)<\/mo><\/mrow>=<\/mo>(<\/mo>x<\/mi>1<\/mn><\/msub>*<\/mo>w<\/mi>1<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub>+<\/mo>x<\/mi>2<\/mn><\/msub>*<\/mo>w<\/mi>2<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd><\/mtr>x<\/mi>1<\/mn><\/msub>*<\/mo>w<\/mi>1<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub>+<\/mo>x<\/mi>2<\/mn><\/msub>*<\/mo>w<\/mi>2<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd><\/mtr><\/mtable>)<\/mo><\/mrow><\/mrow>\n\\left(\n\\begin{matrix} \nw_{1,1} & w_{2,1} \\\\\nw_{1,2} & w_{2,2}\n\\end{matrix} \n\\right)*\n\\left(\n\\begin{matrix} \nx_{1} \\\\\nx_{2} \n\\end{matrix} \n\\right)=\n\\left(\n\\begin{matrix} \nx_1*w_{1,1} + x_2*w_{2,1} \\\\\nx_1*w_{1,2} +x_2* w_{2,2}\n\\end{matrix} \n\\right)\n<\/annotation><\/semantics><\/math> \u4ee5\u4e0a W<\/mi>W<\/annotation><\/semantics><\/math> \u77e9\u9635\u6bcf\u884c\u6570\u4e58\u4ee5 X<\/mi>X<\/annotation><\/semantics><\/math> \u77e9\u9635\u6bcf\u5217\u6570\u662f\u77e9\u9635\u4e58\u6cd5\uff0c\u4e5f\u79f0\u4e3a\u70b9\u4e58\uff08dot product\uff09\u6216\u5185\u79ef\uff08inner product)\u3002<\/p>\n

    \u7ee7\u7eed\u589e\u52a0\u4e00\u5c42\u9690\u85cf\u5c42\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5e76\u91c7\u7528\u77e9\u9635\u4e58\u6cd5\u8868\u793a\u8f93\u51fa\u7ed3\u679c\uff0c\u53ef\u4ee5\u770b\u5230\u4e00\u7cfb\u5217\u7ebf\u6027\u7684\u77e9\u9635\u4e58\u6cd5\uff0c\u5176\u5b9e\u8fd8\u662f\u6c42\u89e3 4 \u4e2a\u6743\u91cd\u503c\uff0c\u8fd9\u4e2a\u6548\u679c\u8ddf\u5355\u5c42\u9690\u85cf\u5c42\u7684\u6548\u679c\u4e00\u6837\uff1a<\/p>\n

    <\/p>\n

    (<\/mo>w<\/mi>1<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd>w<\/mi>2<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd><\/mtr>w<\/mi>1<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd>w<\/mi>2<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd><\/mtr><\/mtable>)<\/mo><\/mrow>*<\/mo>(<\/mo>w<\/mi>3<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd>w<\/mi>4<\/mn>,<\/mo>1<\/mn><\/mrow><\/msub><\/mtd><\/mtr>w<\/mi>3<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd>w<\/mi>4<\/mn>,<\/mo>2<\/mn><\/mrow><\/msub><\/mtd><\/mtr><\/mtable>)<\/mo><\/mrow>*<\/mo>(<\/mo>x<\/mi>1<\/mn><\/msub><\/mtd><\/mtr>x<\/mi>2<\/mn><\/msub><\/mtd><\/mtr><\/mtable>)<\/mo><\/mrow><\/mrow>\n\\left(\n\\begin{matrix} \nw_{1,1} & w_{2,1} \\\\\nw_{1,2} & w_{2,2}\n\\end{matrix} \n\\right)*\n\\left(\n\\begin{matrix} \nw_{3,1} & w_{4,1} \\\\\nw_{3,2} & w_{4,2}\n\\end{matrix} \n\\right)*\n\\left(\n\\begin{matrix} \nx_{1} \\\\\nx_{2} \n\\end{matrix} \n\\right)\n<\/annotation><\/semantics><\/math><\/p>\n

    \u5927\u591a\u6570\u771f\u5b9e\u4e16\u754c\u7684\u6570\u636e\u662f\u975e\u7ebf\u6027\u7684\uff0c\u6211\u4eec\u5e0c\u671b\u795e\u7ecf\u5143\u5b66\u4e60\u8fd9\u4e9b\u975e\u7ebf\u6027\u8868\u793a\uff0c\u53ef\u4ee5\u901a\u8fc7\u6fc0\u6d3b\u51fd\u6570\u5c06\u975e\u7ebf\u6027\u5f15\u5165\u795e\u7ecf\u5143\u3002\u4f8b\u5982\u722c\u5c71\u4f8b\u5b50\u4e2d\u7684\u9608\u503c\uff0c\u6fc0\u6d3b\u51fd\u6570 ReLU\uff08Rectified Linear Activation Function\uff09\u91c7\u7528\u9608\u503c 0\uff0c\u8f93\u5165\u5927\u4e8e 0\uff0c\u8f93\u51fa\u4e3a\u8f93\u5165\u503c\uff0c\u5c0f\u4e8e 0 \u8f93\u51fa\u503c\u4e3a 0\uff0c\u516c\u5f0f\u8868\u793a\u4e3a F<\/mi>(<\/mo>z<\/mi>)<\/mo><\/mrow>=<\/mo>m<\/mi>a<\/mi>x<\/mi>(<\/mo>0<\/mn>,<\/mo>z<\/mi>)<\/mo><\/mrow><\/mrow>F (z) = max (0,z)<\/annotation><\/semantics><\/math>\uff0cReLU \u7684\u56fe\u50cf\u5982\u4e0b\u6240\u793a\u3002<\/p>\n

    <\/p>\n

    \u52a0\u5165\u6fc0\u6d3b\u51fd\u6570\u7684\u795e\u7ecf\u7f51\u7edc\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n

    <\/p>\n

    \u518d\u4ee5\u722c\u5c71\u4e3a\u4f8b\uff0c\u8f93\u51fa\u503c y<\/mi>1<\/mn><\/msub>=<\/mo>5<\/mn><\/mrow>y_1=5<\/annotation><\/semantics><\/math> \u8868\u793a\u53bb\u722c\u5c71\uff0cy<\/mi>2<\/mn><\/msub>=<\/mo>1<\/mn><\/mrow>y_2=1<\/annotation><\/semantics><\/math> \u8868\u793a\u4e0d\u53bb\u722c\u5c71\uff0c\u5728\u751f\u6d3b\u4e2d\u4f1a\u7528\u6982\u7387\u8868\u8ff0\u722c\u5c71\u7684\u53ef\u80fd\u6027\uff0c\u8fd9\u91cc\u901a\u8fc7 SoftMax \u51fd\u6570\u89c4\u8303\u8f93\u51fa\u503c\uff0c\u516c\u5f0f\u5982\u4e0b\u3002<\/p>\n

    S<\/mi>o<\/mi>f<\/mi>t<\/mi>M<\/mi>a<\/mi>x<\/mi>(<\/mo>y<\/mi>i<\/mi><\/msub>)<\/mo><\/mrow>=<\/mo>e<\/mi>y<\/mi>i<\/mi><\/msub><\/msup>\u2211<\/mo>c<\/mi>=<\/mo>1<\/mn><\/mrow>C<\/mi><\/munderover>e<\/mi>y<\/mi>c<\/mi><\/msub><\/msup><\/mrow><\/mfrac><\/mrow>\nSoftMax(y_{i})=\\frac{e^{y_{i}}}{\\sum_{c = 1}^{C}{e^{y_{c}}}}\n<\/annotation><\/semantics><\/math><\/p>\n

    \u8f93\u51fa\u503c y<\/mi>1<\/mn><\/msub>=<\/mo>5<\/mn><\/mrow>y_1=5<\/annotation><\/semantics><\/math> \u548c y<\/mi>2<\/mn><\/msub>=<\/mo>1<\/mn><\/mrow>y_2=1<\/annotation><\/semantics><\/math> \u7684\u8ba1\u7b97\u8fc7\u7a0b\u5982\u4e0b\uff0c\u53ef\u4ee5\u770b\u5230\u722c\u5c71\u7684\u6982\u7387\u662f 98%\uff1a<\/p>\n

    <\/p>\n

    \u52a0\u5165 SoftMax \u51fd\u6570\u7684\u795e\u7ecf\u7f51\u7edc\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n

    <\/p>\n

    \u83b7\u5f97\u795e\u7ecf\u7f51\u7edc\u7684\u8f93\u51fa\u503c (0.98, 0.02) \u4e4b\u540e\uff0c\u4e0e\u771f\u5b9e\u503c (1, 0) \u6bd4\u8f83\uff0c\u975e\u5e38\u63a5\u8fd1\uff0c\u4ecd\u7136\u9700\u8981\u4e0e\u771f\u5b9e\u503c\u6bd4\u8f83\uff0c\u8ba1\u7b97\u5dee\u8ddd\uff08\u4e5f\u79f0\u8bef\u5dee\uff0c\u7528 e<\/mi>e<\/annotation><\/semantics><\/math> \u8868\u793a\uff09\uff0c\u5c31\u8ddf\u6478\u5e95\u8003\u8bd5\u4e00\u6837\uff0c\u67e5\u770b\u5b66\u4e60\u7684\u638c\u63e1\u7a0b\u5ea6\uff0c\u540c\u6837\u795e\u7ecf\u7f51\u7edc\u4e5f\u8981\u5b66\u4e60\uff0c\u8ba9\u8f93\u51fa\u7ed3\u679c\u65e0\u9650\u63a5\u8fd1\u771f\u5b9e\u503c\uff0c\u4e5f\u5c31\u9700\u8981\u8c03\u6574\u6743\u91cd\u503c\uff0c\u8fd9\u91cc\u5c31\u9700\u8981\u53cd\u5411\u4f20\u64ad\u4e86\u3002<\/p>\n

    <\/p>\n

    \u5728\u53cd\u5411\u4f20\u64ad<\/strong>\u8fc7\u7a0b\u4e2d\u9700\u8981\u4f9d\u636e\u8bef\u5dee\u503c\u6765\u8c03\u6574\u6743\u91cd\u503c\uff0c\u53ef\u4ee5\u770b\u6210\u53c2\u6570\u4f18\u5316\u8fc7\u7a0b\uff0c\u7b80\u8981\u8fc7\u7a0b\u662f\uff0c\u5148\u521d\u59cb\u5316\u6743\u91cd\u503c\uff0c\u518d\u589e\u52a0\u6216\u51cf\u5c11\u6743\u91cd\u503c\uff0c\u67e5\u770b\u8bef\u5dee\u662f\u5426\u6700\u5c0f\uff0c\u53d8\u5c0f\u7ee7\u7eed\u4e0a\u4e00\u6b65\u76f8\u540c\u64cd\u4f5c\uff0c\u53d8\u5927\u5219\u4e0a\u4e00\u6b65\u76f8\u53cd\u64cd\u4f5c\uff0c\u8c03\u6574\u6743\u91cd\u540e\u67e5\u770b\u8bef\u5dee\u503c\uff0c\u76f4\u81f3\u8bef\u5dee\u503c\u53d8\u5c0f\u4e14\u6d6e\u52a8\u4e0d\u5927\u3002<\/p>\n

    \u73b0\u5728\u4ee5\u7b80\u5355\u7684\u51fd\u6570 y<\/mi>=<\/mo>(<\/mo>x<\/mi>\u2212<\/mo>1<\/mn>)<\/mo><\/mrow>2<\/mn><\/msup>+<\/mo>1<\/mn><\/mrow>y =(x-1)^2 + 1<\/annotation><\/semantics><\/math> \u4e3a\u4f8b\uff0cy<\/mi>y<\/annotation><\/semantics><\/math> \u8868\u793a\u8bef\u5dee\uff0c\u6211\u4eec\u5e0c\u671b\u627e\u5230 x<\/mi>x<\/annotation><\/semantics><\/math>\uff0c\u6700\u5c0f\u5316 y<\/mi>y<\/annotation><\/semantics><\/math>\uff0c\u51fd\u6570\u5c55\u793a\u5982\u4e0b\u3002\u7ea2\u8272\u70b9\u662f\u968f\u673a\u7684\u521d\u59cb\u70b9\u7c7b\u6bd4\u6743\u91cd\u503c\u7684\u521d\u59cb\u5316\uff0c\u5de6\u8fb9\u662f\u5f53 x<\/mi>x<\/annotation><\/semantics><\/math> \u589e\u5927\u65f6\uff0c\u8bef\u5dee\u662f\u51cf\u5c0f\uff1b\u53f3\u8fb9\u662f\u5f53 x<\/mi>x<\/annotation><\/semantics><\/math> \u51cf\u5c0f\u65f6\uff0c\u8bef\u5dee\u662f\u51cf\u5c0f\u3002\u5982\u4f55\u627e\u5230\u8bef\u5dee\u4e0b\u964d\u7684\u65b9\u5411\u6210\u4e3a\u4e86\u5173\u952e\u3002<\/p>\n

    <\/p>\n

    \u659c\u7387\u7684\u5927\u5c0f\u8868\u660e\u53d8\u5316\u7684\u901f\u7387\uff0c\u610f\u601d\u662f\u5f53\u659c\u7387\u6bd4\u8f83\u5927\u7684\u60c5\u51b5\u4e0b\uff0c\u6743\u91cd x<\/mi>x<\/annotation><\/semantics><\/math> \u53d8\u5316\u6240\u5f15\u8d77\u7684\u7ed3\u679c\u53d8\u5316\u4e5f\u5927\u3002\u628a\u8fd9\u4e2a\u6982\u5ff5\u5f15\u5165\u6c42\u6700\u5c0f\u5316\u7684\u95ee\u9898\u4e0a\uff0c\u4ee5\u6743\u91cd\u5bfc\u6570\u4e58\u4ee5\u4e00\u4e2a\u7cfb\u6570\u4f5c\u4e3a\u6743\u91cd\u66f4\u65b0\u7684\u6570\u503c\uff0c\u8fd9\u4e2a\u7cfb\u6570\u6211\u4eec\u53eb\u5b83\u5b66\u4e60\u7387(learning rate)\uff0c\u8fd9\u4e2a\u7cfb\u6570\u80fd\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u63a7\u5236\u6743\u91cd\u81ea\u6211\u66f4\u65b0\uff0c\u6743\u91cd\u6539\u53d8\u7684\u65b9\u5411\u4e0e\u68af\u5ea6\u65b9\u5411\u76f8\u53cd\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6743\u91cd\u7684\u66f4\u65b0\u516c\u5f0f\u662f W<\/mi>n<\/mi>e<\/mi>w<\/mi><\/mrow><\/msub>=<\/mo>W<\/mi>o<\/mi>d<\/mi>d<\/mi><\/mrow><\/msub>\u2212<\/mo>\u5b66<\/mi>\u4e60<\/mi>\u7387<\/mi>*<\/mo>\u5bfc<\/mi>\u6570<\/mi><\/mrow>W_{new} = W_{odd}-\u5b66\u4e60\u7387*\u5bfc\u6570<\/annotation><\/semantics><\/math>\u3002<\/p>\n

    <\/p>\n

    \u7531\u4e8e\u8bef\u5dee\u662f\u76ee\u6807\u8bad\u7ec3\u503c\u4e0e\u5b9e\u9645\u8f93\u51fa\u503c\u4e4b\u95f4\u7684\u5dee\u503c\uff0c\u5373 \u635f<\/mi>\u5931<\/mi>\u51fd<\/mi>\u6570<\/mi>=<\/mo>(<\/mo>\u76ee<\/mi>\u6807<\/mi>\u503c<\/mi>\u2212<\/mo>\u5b9e<\/mi>\u9645<\/mi>\u503c<\/mi>)<\/mo><\/mrow>2<\/mn><\/msup><\/mrow>\u635f\u5931\u51fd\u6570=(\u76ee\u6807\u503c-\u5b9e\u9645\u503c)^2<\/annotation><\/semantics><\/math>\uff0c\u8868\u793a\u4e3a (<\/mo>w<\/mi>\u00d7<\/mo>x<\/mi>\u2212<\/mo>y<\/mi>t<\/mi>r<\/mi>u<\/mi>e<\/mi><\/mrow><\/msub>)<\/mo><\/mrow>2<\/mn><\/msup>(w \\times x – y_{true})^2<\/annotation><\/semantics><\/math>\uff0c\u5bfc\u6570\u4e3a: (<\/mo>w<\/mi>*<\/mo>x<\/mi>\u2212<\/mo>y<\/mi>)<\/mo><\/mrow>\u2032<\/mi><\/msup>=<\/mo>2<\/mn>w<\/mi>*<\/mo>x<\/mi>2<\/mn><\/msup>\u2212<\/mo>2<\/mn>x<\/mi>*<\/mo>y<\/mi>=<\/mo>2<\/mn>x<\/mi>(<\/mo>y<\/mi>\u2212<\/mo>y<\/mi>t<\/mi>r<\/mi>u<\/mi>e<\/mi><\/mrow><\/msub>)<\/mo><\/mrow><\/mrow>\n(w*x-y)^{'}=2w*x^{2}-2x*y=2x(y-y_{true})\n<\/annotation><\/semantics><\/math><\/p>\n

    \u7ecf\u8fc7\u53cd\u590d\u8fed\u4ee3\uff0c\u8ba9\u635f\u5931\u51fd\u6570\u503c\u65e0\u9650\u63a5\u8fd1 0\uff0c\u6d6e\u52a8\u4e0d\u5927\u65f6\uff0c\u83b7\u5f97\u5408\u9002\u7684\u6743\u91cd\uff0c\u5373\u795e\u7ecf\u7f51\u7edc\u8bad\u7ec3\u597d\u4e86\u3002<\/p>\n

    \u672c\u6587\u7528\u751f\u52a8\u5f62\u8c61\u8bed\u8a00\u7684\u4ecb\u7ecd\u4e86\u795e\u7ecf\u7f51\u7edc\u7684\u57fa\u672c\u7ed3\u6784\u53ca\u6570\u5b66\u539f\u7406\uff0c\u4e3a\u4e86\u65b9\u4fbf\u5927\u5bb6\u7406\u89e3\uff0c\u672c\u6587\u7684\u53c2\u6570\u56f4\u7ed5\u7740 W<\/mi>W<\/annotation><\/semantics><\/math>\uff0c\u540e\u7eed\u7ee7\u7eed\u6df1\u5165\u5b66\u4e60\uff0c\u82e5\u9047\u5230\u5176\u4ed6\u53c2\u6570\uff0c\u5982 b<\/mi>b<\/annotation><\/semantics><\/math>\uff0c\u4e0d\u7528\u611f\u5230\u964c\u751f\uff0c\u89e3\u51b3\u601d\u8def\u8ddf W<\/mi>W<\/annotation><\/semantics><\/math> \u7c7b\u4f3c\u3002<\/p>\n

    \u597d\u4e86\uff0c\u795d\u5927\u5bb6\u6709\u6240\u8fdb\u6b65\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u795e\u7ecf\u7f51\u7edc\u662f\u4ec0\u4e48? \u795e\u7ecf\u7f51\u7edc\u662f\u4e00\u7ec4\u53d7\u4eba\u7c7b\u5927\u8111\u529f\u80fd\u542f\u53d1\u7684\u7b97\u6cd5\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5f53\u4f60\u7741\u5f00\u773c\u775b\u65f6\uff0c\u4f60\u770b\u5230\u7684\u4e1c\u897f\u53eb\u505a\u6570\u636e\uff0c\u518d\u7531 … <\/p>\n

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