{"id":17985,"date":"2016-12-06T09:00:00","date_gmt":"2016-12-06T00:00:00","guid":{"rendered":"http:\/\/yukisako.xsrv.jp\/entry\/neural-network"},"modified":"2016-12-06T09:00:00","modified_gmt":"2016-12-06T00:00:00","slug":"neural-network","status":"publish","type":"post","link":"https:\/\/skill-hacks.co.jp\/media\/neural-network\/","title":{"rendered":"\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u57fa\u790e\u3092\u521d\u5fc3\u8005\u5411\u3051\u306b\u89e3\u8aac\u3057\u3066\u307f\u308b"},"content":{"rendered":"


\n\u3053\u3093\u306b\u3061\u306f\uff0c\u5b66\u751f\u30a8\u30f3\u30b8\u30cb\u30a2\u306e\u8feb\u4f51\u6a39(@yuki_99_s<\/a>)\u3067\u3059\uff0e<\/p>\n

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<\/p>\n

<\/p>\n

\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u306f<\/h2>\n

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\"f:id:McG:20161115225427p:plain\"<\/p>\n

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\u30cb\u30e5\u30fc\u30ed\u30f3\u30e2\u30c7\u30eb<\/h2>\n

\u305d\u308c\u3067\u306f\uff0c\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u4f5c\u308b\u524d\u306b\uff0c\u307e\u305a\u306f\u30cb\u30e5\u30fc\u30ed\u30f3\u5358\u4f53\u3067\u8003\u3048\u3066\u3042\u3052\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff0e<\/p>\n

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\"f:id:McG:20161115230946p:plain\"<\/p>\n

\\(x\\)\u3068\u3044\u3046\u4fe1\u53f7\u3092\u53d7\u53d6\u308a\uff0c\u95a2\u6570\\(f\\)\u306b\u3088\u308a\u51e6\u7406\u3057\u3066\uff0c\\(y\\)\u3068\u3044\u3046\u4fe1\u53f7\u3092\u53d7\u3051\u6e21\u3057\u3066\u3044\u308b\u72b6\u6cc1\u3067\u3059\uff0e<\/p>\n

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\u53d7\u3051\u53d6\u3063\u305f\u4fe1\u53f7\u3092\u305d\u306e\u307e\u307e\u51e6\u7406\u3059\u308b\u306e\u3067\u306f\u306a\u304f\uff0c\u4fe1\u53f7\u3092\u91cd\u307f\u4ed8\u3051\u306e\u305f\u3081\u306b\u91cd\u307f\u306e\\(w\\)\u3092\u304b\u3051\uff0c\u3055\u3089\u306b\u5b9a\u6570\u9805\u3068\u3057\u3066\uff0c\u30d0\u30a4\u30a2\u30b9\\(b\\)\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3092\u8db3\u3057\u3066\u3042\u3052\u307e\u3059\uff0e<\/p>\n

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\"f:id:McG:20161115231819p:plain\"<\/p>\n

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\u51e6\u7406\u7528\u306e\u95a2\u6570\u306e\u6b63\u4f53<\/h2>\n

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\u3053\u308c\u306f\\(f(x) = \\frac{1}{1+e^{-x}}\\)\u3068\u3044\u3046\u5f62\u306e\u95a2\u6570\u3067\uff0c\u30b7\u30b0\u30e2\u30a4\u30c9\u95a2\u6570\u3068\u547c\u3070\u308c\u307e\u3059\uff0e<\/strong><\/p>\n

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\"f:id:McG:20161115233235p:plain\"<\/p>\n

\u306a\u308b\u307b\u3069\uff0c\\(f(x) = \\frac{1}{1+e^{-x}}\\)\u306f\\(x\\)\u304c\\(-\\infty\\)\u306b\u884c\u3051\u3070\u884c\u304f\u307b\u30690\u306b\u8fd1\u3065\u304d\uff0c\\(x\\)\u304c\\(\\infty\\)\u306b\u884c\u304f\u307b\u3069\uff0c1\u306b\u8fd1\u3065\u304f\uff0c\u305d\u3093\u306a\u95a2\u6570\u3067\u3059\u306d\uff0e<\/p>\n

\u3053\u3053\u3067\uff0c\\(y=f(wx+b)\\)\u306f\uff0c\\(f(x) = \\frac{1}{1+e^{-x}}\\)\u3088\u308a\uff0c\\(f(wx+b) = \\frac{1}{1+e^{-(wx+b)}}\\)\u3068\u306a\u308b\u308f\u3051\u3067\u3059\uff0e<\/p>\n

\u6574\u7406\u3057\u3066\u307f\u307e\u3057\u3087\u3046\uff0e<\/p>\n

\"f:id:McG:20161116011505p:plain\"<\/p>\n

\u8907\u6570\u5165\u529b\u306e\u5834\u5408<\/h2>\n

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\"f:id:McG:20161115235033p:plain\"<\/p>\n

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\u305d\u308c\u305e\u308c\u306e\u5165\u529b\\(x_1,x_2,x_3\\)\u306b\uff0c\u91cd\u307f\u304c\u305d\u308c\u305e\u308c\\(w_1,w_2,w_3\\)\u304b\u304b\u308a\uff0c\u30d0\u30a4\u30a2\u30b9\\(b\\)\u3092\u8db3\u3057\u3066\u3042\u3052\u305f\u306e\u3092\u95a2\u6570\\(f\\)\u3067\u51e6\u7406\u3059\u308c\u3070\u3044\u3044\u306e\u3067\uff0c\u51fa\u529b\u306f\uff0c\\(f(w_1x_1+w_2x_2+w_3x_3+b)\\)\u3068\u306a\u308b\u3060\u3051\u306a\u3093\u3067\u3059\u3088\uff0e<\/p>\n

\u3053\u3053\u3067\\(w_1x_1+w_2x_2+w_3x_3\\)\u3068\u3044\u3046\u306e\u306f\uff0c\\({\\bf w} = \\begin{bmatrix}w_1 \\\\ w_2 \\\\ w_3 \\end{bmatrix}\\)\u3068\uff0c\\({\\bf x} = \\begin{bmatrix}x_1 \\\\ x_2 \\\\ x_3 \\end{bmatrix}\\)\u306e\u5185\u7a4d\u3067\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u306d\uff0e<\/p>\n

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\"f:id:McG:20161116001743p:plain\"<\/p>\n

\u3053\u306e\uff0c\u5165\u529b\u3068\u51fa\u529b\u306e\u9593\u306b\u96a0\u308c\u305f\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u3053\u3068\u3092\uff0c\u96a0\u308c\u30cb\u30e5\u30fc\u30ed\u30f3\u3068\u547c\u3073\u307e\u3059\uff0e\u307e\u305f\uff0c\u305d\u306e\u96a0\u308c\u30cb\u30e5\u30fc\u30ed\u30f3\u304c\u5c64\u306b\u306a\u3063\u3066\u308b\u3068\u3053\u308d\u3092\uff0c\u4e2d\u9593\u5c64\u3068\u547c\u3073\u307e\u3059\uff0e<\/p>\n

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\u3059\u308b\u3068\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u611f\u3058\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\"f:id:McG:20161116003050p:plain\"<\/p>\n

\u306a\u3093\u3068\u306a\u304f\uff0c\u4eba\u9593\u306e\u8133\u3063\u307d\u3044\u3053\u3068\u3092\u3084\u3063\u3066\u3044\u308b\u306a\u3063\u3066\u3044\u3046\u30a4\u30e1\u30fc\u30b8\u304c\u51fa\u6765\u305f\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\uff0e<\/p>\n

\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u8fd1\u4f3c\u5b9a\u7406<\/h2>\n

\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306b\u306f\uff0c\u5927\u4e8b\u306a\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\uff0e<\/p>\n

\u305d\u308c\u304c\uff0c\u96a0\u308c\u5c64\u304c1\u5c64\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306f\uff0c\u4efb\u610f\u306e\u95a2\u6570\u3092\u4efb\u610f\u306e\u7cbe\u5ea6\u3067\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b<\/strong>\u3068\u3044\u3046\u3053\u3068<\/p>\n

\u3069\u3046\u3044\u3046\u3053\u3068\u304b\u3092\u5b9f\u4f8b\u3092\u51fa\u3057\u306a\u304c\u3089\u8aac\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u306d\uff0e<\/p>\n

\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\uff0c\u4fe1\u53f7\u51e6\u7406\u3092\u884c\u3046\u6642\uff0c\\(f(x) = \\frac{1}{1+e^{-x}}\\)\u3088\u308a\uff0c\\(f(wx+b) = \\frac{1}{1+e^{-(wx+b)}}\\)\u3068\u3044\u3046\u95a2\u6570\u3092\u4f7f\u3046\u306e\u306f\u5148\u7a0b\u8a71\u3057\u305f\u3068\u304a\u308a\u3067\u3059\uff0e<\/p>\n

\u3053\u306e\uff0c\u91cd\u307f\\(w\\)\u306e\u5024\u3092\u5909\u3048\u3066\u307f\u307e\u3057\u3087\u3046\uff0e<\/p>\n

\"f:id:McG:20161116010951p:plain\"<\/p>\n

\u91cd\u307f\\(w\\)\u3092\u5897\u52a0\u3055\u305b\u308b\u3068\uff0c\\(x=0\\)\u4ed8\u8fd1\u3067\u306e\u66f2\u7dda\u306e\u52fe\u914d\u304c\u304d\u3064\u304f\u306a\u3063\u3066\u3044\u308b\u306e\u304c\u308f\u304b\u308a\u307e\u3059\uff0e<\/p>\n

\u91cd\u307f\\(w\\)\u3092\u6975\u3081\u3066\u5927\u304d\u304f\u3059\u308b\u3068\uff0c\u5358\u4f4d\u30b9\u30c6\u30c3\u30d7\u95a2\u6570(x<0\u3067f(x)=0\uff0cx>0\u3067f(x)=1\u3068\u306a\u308b\u3088\u3046\u306a\u95a2\u6570)\u306b\u8fd1\u3065\u304d\u307e\u3059\uff0e<\/p>\n

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\n
\u5927\u597d\u8a55\u306e\u305f\u3081\u7d9a\u7de8!!\u7d9a\u304d\u306f\u30b3\u30c1\u30e9!!<\/div>\n
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