{"id":3170,"date":"2023-01-28T15:52:31","date_gmt":"2023-01-28T06:52:31","guid":{"rendered":"https:\/\/hayashiyus.jp\/?p=3170"},"modified":"2023-12-21T06:40:57","modified_gmt":"2023-12-20T21:40:57","slug":"%e8%87%aa%e7%94%b1%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc%e5%8e%9f%e7%90%86%e3%83%bb%e8%87%aa%e5%b7%b1%e6%b3%a8%e6%84%8f%e6%a9%9f%e6%a7%8b%e3%83%bb%e6%a6%82%e5%bf%b5%e3%81%ae%e7%8d%b2%e5%be%97","status":"publish","type":"post","link":"https:\/\/hayashiyus.jp\/?p=3170","title":{"rendered":"\u6ce8\u610f\u6a5f\u69cb\u30fb\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u539f\u7406\u30fb\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u6982\u5ff5\u306e\u7372\u5f97"},"content":{"rendered":"\r\n

\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3068\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306b\u306f\uff0c\u3069\u3061\u3089\u3082\u751f\u7269\u5b66\u7684\u59a5\u5f53\u6027\u3092\u3082\u3064\u518d\u5e30\u578b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3068\u3057\u3066\u63d0\u6848\u3055\u308c\u305f\uff0c\u3068\u3044\u3046\u5171\u901a\u70b9\u304c\u3042\u308b\uff0e\u3053\u306e\u6295\u7a3f\u3067\u306f\uff0c\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3068\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306b\u307e\u305f\u304c\u308b\u5171\u901a\u70b9\u3092\u6398\u308a\u4e0b\u3052\u3066\u3044\u304f\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u6ce8\u610f\u6a5f\u69cb\uff0c\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u539f\u7406\uff0c\u305d\u3057\u3066\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306b\u304a\u3051\u308b\u6982\u5ff5\u306e\u7372\u5f97\u3068\u3044\u3046\u4e00\u898b\u7570\u306a\u308b\u5bb9\u8c8c\u3092\u3057\u305f\uff13\u3064\u306e\u6982\u5ff5\u304c\uff0c\u96a0\u308c\u305f\u6c34\u8def\u3092\u901a\u3058\u3066\u304a\u4e92\u3044\u306b\u3064\u306a\u304c\u308a\u5408\u3046\u3053\u3068\u3092\u660e\u3089\u304b\u306b\u3057\u305f\u3044\uff0e<\/p>\r\n\r\n

\"\"<\/center>\r\n\r\n\r\n\r\n

1. \u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8<\/h4>\r\n\r\n\r\n
\r\n

1\u22121. \u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3068\u6ce8\u610f\u6a5f\u69cb<\/h4>\r\n

<\/p>\r\n

<\/p>\r\n

\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u306f\uff0c\u96e2\u6563\u7684\u306a\u72b6\u614b\u3057\u304b\u6301\u305f\u306a\u3044\u53e4\u5178\u7684\u306a\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3092\u62e1\u5f35\u3057\u305f\u30e2\u30c7\u30eb\u3067\uff0c\u9023\u7d9a\u7684\u306a\u72b6\u614b\u3068\u305d\u308c\u306b\u5bfe\u5fdc\u3057\u305f\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u3092\u5099\u3048\u3066\u3044\u308b[1<\/a>]\uff0e\u3053\u306e\u65b0\u3057\u3044\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u306b\u306f\uff0c\u2460\u591a\u304f\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u9023\u60f3\u7a7a\u9593\u306b\u4fdd\u5b58\u3059\u308b\u6307\u6570\u95a2\u6570\u7684\u306a\u8a18\u61b6\u5bb9\u91cf\u3092\u6301\u3061\uff0c\u24611\u56de\u306e\u66f4\u65b0\u3067\u30d1\u30bf\u30fc\u30f3\u3092\u53d6\u5f97\u3057\uff0c\u2462\u6307\u6570\u95a2\u6570\u7684\u306b\u5c0f\u3055\u306a\u691c\u7d22\u8aa4\u5dee\u3092\u6301\u3064\uff0c\u3068\u3044\u3046\u7279\u5fb4\u304c\u3042\u308b\uff0e\"i\" \u756a\u76ee\u306e\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b\u3092 \"{v}_i(t)\" \u3068\u3057\u305f\u3068\u304d\uff0c\u53e4\u5178\u7684\u306a\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u304b\u3089\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u306b\u304b\u3051\u3066\uff0c\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u7f6e\u304d\u63db\u3048\u3089\u308c\u308b\uff0e<\/p>\r\n

(1) <\/span>   <\/span>\"\begin{align*}<\/p><\/p>\r\n

(1)\u5f0f \u306e\u5f8c\u6bb5\u306e\u66f4\u65b0\u5f0f\u304c\u793a\u3059\u3088\u3046\u306b\uff0c\u30cb\u30e5\u30fc\u30ed\u30f3\u304c\u9023\u7d9a\u7684\u306a\u72b6\u614b\u3092\u3068\u308b\u3088\u3046\u306b\u4fee\u6b63\u3055\u308c\u305f\u65b0\u3057\u3044\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u306f\uff0c\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc\u306a\u3069\u306e\u6df1\u5c64\u5b66\u7fd2\u30e2\u30c7\u30eb\u306b\u642d\u8f09\u3055\u308c\u3066\u3044\u308b\u6ce8\u610f\u6a5f\u69cb\u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u3064\u307e\u308a\uff0c\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3092\u4f7f\u3063\u3066\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc\u3092\u4f5c\u308c\u308b<\/font>\u3053\u3068\u304c\u660e\u3089\u304b\u306b\u306a\u3063\u305f[2<\/a>]\uff0e\u8ad6\u6587[1<\/a>]\uff0c\u30d6\u30ed\u30b0[2<\/a>]\u306e\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u306e\u5c0e\u51fa\u306f\u304b\u306a\u308a\u6280\u5de7\u7684\u3067\u4eba\u5de5\u7684\u306a\u5370\u8c61\u304c\u3042\u3063\u305f\u304c\uff0c\u30c9\u30df\u30c8\u30ea\u30fc\u30fb\u30af\u30ed\u30c8\u30d5\uff06\u30b8\u30e7\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u300c\u795e\u7d4c\u751f\u7269\u5b66\u3068\u6a5f\u68b0\u5b66\u7fd2\u306b\u304a\u3051\u308b\u5927\u898f\u6a21\u9023\u60f3\u8a18\u61b6\u554f\u984c<\/a> (2021)\u300d\u3067\u306f\uff0c\u3042\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30a2\u30f3\u304b\u3089\u3054\u304f\u81ea\u7136\u306b\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u304c\u5c0e\u51fa\u3067\u304d\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f[3<\/a>]\uff0e\u3053\u3061\u3089\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u306f\uff0c\"i\" \u756a\u76ee\u306e\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b \"{v}_i(t)\"\uff0c\"\mu\" \u756a\u76ee\u306e\u8a18\u61b6\u30cb\u30e5\u30fc\u30ed\u30f3\uff08\u96a0\u308c\u30cb\u30e5\u30fc\u30ed\u30f3\uff09\u306e\u72b6\u614b \"{h}_\mu(t)\" \u306b\u3064\u3044\u3066<\/p>\r\n\r\n

\"\"<\/center>\r\n\r\n

(2) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u3044\u3046\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u3092\u8003\u3048\u308b\uff0e\u3053\u306e\u65b0\u3057\u3044\u30e2\u30c7\u30eb\u3067\u306f\u8a18\u61b6\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u6d3b\u52d5\u306f\u5916\u90e8\u306e\u89b3\u6e2c\u8005\u304b\u3089\u306f\u89b3\u6e2c\u3067\u304d\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3092\u4eee\u5b9a\u3059\u308b\u305f\u3081\uff0c\u8a18\u61b6\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u81ea\u7531\u5ea6 \"{h}_\mu(t)\" \u306f\u6700\u7d42\u7684\u306b\u7a4d\u5206\u3055\u308c\u3066\u30e2\u30c7\u30eb\u304b\u3089\u6d88\u53bb\u3055\u308c\u3066\u3057\u307e\u3046\uff0e\u3053\u306e\u4e00\u898b\u8fc2\u9060\u306a\u64cd\u4f5c\u3092\u7d4c\u7531\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u30cb\u30e5\u30fc\u30ed\u30f3\u9593\u306e2\u4f53\u76f8\u4e92\u4f5c\u7528\uff082\u4f53\u30b7\u30ca\u30d7\u30b9\u7d50\u5408\uff09\u306e\u307f\u3092\u7528\u3044\u3066\uff0c\u751f\u7269\u5b66\u7684\u306a\u59a5\u5f53\u6027\u304c\u306a\u3044\u3068\u8a00\u308f\u308c\u3066\u3044\u308b3\u3064\u4ee5\u4e0a\u306e\u30cb\u30e5\u30fc\u30ed\u30f3\u9593\u306e\u76f8\u4e92\u4f5c\u7528\uff083\u4f53\u30b7\u30ca\u30d7\u30b9\u7d50\u5408\uff09\u3092\u30e2\u30c7\u30eb\u306b\u53d6\u308a\u8fbc\u3080\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u305f\uff0e\u305d\u306e\u5e30\u7d50\u3068\u3057\u3066\uff0c\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u306f\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc\u306a\u3069\u306e\u73fe\u4ee3\u7684\u306a\uff08\u304b\u3064\u975e\u751f\u7269\u5b66\u7684\u306a\uff09\u6df1\u5c64\u5b66\u7fd2\u30e2\u30c7\u30eb\u3092\u5185\u5305\u3057\u306a\u304c\u3089\uff0c\u4e00\u5b9a\u306e\u751f\u7269\u5b66\u7684\u306a\u59a5\u5f53\u6027\u3092\u3082\u3064\u7a00\u6709\u306a\u30e2\u30c7\u30eb\u306b\u306a\u3063\u305f\uff0e\u3053\u3053\u3067 (2)\u5f0f \u306e\u3046\u3061\uff0c\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306b\u3064\u3044\u3066\u306e\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u306b\u6ce8\u76ee\u3057\u3066\u307f\u3088\u3046\uff0e<\/p>\r\n

(3) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u8a18\u61b6\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u304c\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u305d\u308c\u3068\u6bd4\u3079\u3066\u975e\u5e38\u306b\u65e9\u3044\u72b6\u6cc1\u3092\u4eee\u5b9a\u3059\u308b\u3068\uff0c\u3053\u308c\u306f\u6570\u5b66\u7684\u306b\u306f \"\tau_h \rightarrow 0\" \u3092\u8003\u3048\u308b\u3053\u3068\u306b\u5bfe\u5fdc\u3059\u308b\u306e\u3067 (2)\u5f0f \u304b\u3089<\/p>\r\n

(4) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u304c\u5c0e\u304b\u308c\u308b\uff0e\u7d50\u5c40\uff0c\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306b\u3064\u3044\u3066\u306e\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u306f<\/p>\r\n

(5) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\uff0e\u52a0\u3048\u3066\uff0c\u3053\u3053\u3067 \"\dot{v}_i(t) = \frac{v_i(t+\Delta t) - v_i(t)}{dt}\" \u306e\u95a2\u4fc2\u306b\u6ce8\u610f\u3059\u308b\u3068<\/p>\r\n

(6) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\u306e\u3067\uff0c\"d t=\tau_f\" \u306e\u3068\u304d<\/p>\r\n

(7) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\uff0e(7)\u5f0f \u306f\uff0c\u7279\u306b\uff0c\u6d3b\u6027\u5316\u95a2\u6570 \"f(x)=\operatorname{softmax}(x)\"\uff0c\"g(x)=x\" \u304b\u3064 \"I_i(t) \rightarrow 0\" \u306e\u3068\u304d<\/p>\r\n

(8) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u306b\u5e30\u7740\u3059\u308b\uff0e\u3053\u306e\u66f4\u65b0\u5f0f\u306f\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc\u306e\u6838\u5fc3\u3068\u3082\u8a00\u3048\u308b\u6ce8\u610f\u6a5f\u69cb\u306e\u66f4\u65b0\u5f0f\u3068\u53b3\u5bc6\u306b\u4e00\u81f4\u3059\u308b<\/font>[3<\/a>]\uff0e<\/p>\r\n<\/div>\r\n\r\n\r\n

2. \u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8<\/h4>\r\n\r\n\r\n
\r\n

2\u22121. \u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u62e1\u5f35<\/h4>\r\n

<\/p>\r\n

<\/p>\r\n

\u80fd\u52d5\u7684\u63a8\u8ad6\u3092\u81ea\u7136\u306b\u5c0e\u304f\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\uff0c\u3059\u306a\u308f\u3061\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306f\uff0c\u63a8\u8ad6\uff08\u795e\u7d4c\u6d3b\u52d5\uff09\u3068\u5b66\u7fd2\uff08\u30b7\u30ca\u30d7\u30b9\u53ef\u5851\u6027\uff09\u306b\u95a2\u308f\u308b\u30b3\u30b9\u30c8\u95a2\u6570\u304c\u80fd\u52d5\u7684\u63a8\u8ad6\u306e\u76ee\u7684\u95a2\u6570\uff08\u5909\u5206\u30d9\u30a4\u30ba\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3068\u53b3\u5bc6\u306a\u5bfe\u5fdc\u95a2\u4fc2\u3092\u6301\u3064\uff0c\u3068\u3044\u3046\u3042\u308b\u7a2e\u306e\u6df1\u9060\u3055\u3092\u611f\u3058\u3055\u305b\u308b\u5370\u8c61\u7684\u306a\u6027\u8cea\u3092\u5099\u3048\u3066\u3044\u308b\uff0e\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u306f\uff0c\u78ef\u6751\u62d3\u4e5f\u30fb\u30ab\u30fc\u30eb\u30fb\u30d5\u30ea\u30b9\u30c8\u30f3\u300c\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u6027\u8cea\u306e\u89e3\u660e\u306e\u305f\u3081\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u30ea\u30d0\u30fc\u30b9\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0<\/a> (2020)\u300d\u306b\u3088\u3063\u3066\u521d\u3081\u3066\u79d1\u5b66\u306e\u8868\u821e\u53f0\u306b\u5f15\u304d\u63da\u3052\u3089\u308c\u305f\uff0e\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u4e2d\u9593\u5c64\u306e\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b\u3092 \"{x}_i(t)\"\uff0c\u51fa\u529b\u5c64\u306e\u53ef\u8996\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b\u3092 \"{y}_i(t)\" \u3068\u3059\u308b\u3068\uff0c\u305d\u308c\u305e\u308c\u306e\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u306f<\/p>\r\n

(9) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3067\u3042\u3089\u308f\u305b\u308b[4<\/a>]\uff0e\u3053\u306e\u66f4\u65b0\u5f0f\u306e\u5e73\u8861\u72b6\u614b\uff0c\u3059\u306a\u308f\u3061 \"\dot{x}_i(t)=0\" \u304b\u3064 \"\dot{y}_i(t)=0\" \u306e\u5834\u5408\u3092\u8003\u3048\u308b\u3068<\/p>\r\n

(10) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\uff0e\u3055\u3089\u306b\u91cd\u8981\u306a\u6027\u8cea\u3068\u3057\u3066\uff0c\u8ad6\u6587[5<\/a>]\u306e\u4e2d\u3067\uff0c\uff08\u5b8c\u5168\u30af\u30e9\u30b9\u5b9a\u7406\u306e\u5e30\u7d50\u3068\u3057\u3066\uff09\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u6700\u5c0f\u5316\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u304c\uff08\u3042\u308b\u4e8b\u524d\u5206\u5e03\u306e\u4e0b\u3067\uff09\u5909\u5206\u30d9\u30a4\u30ba\u63a8\u8ad6\u3092\u5b9f\u884c\u3059\u308b\u3053\u3068\u3068\u7b49\u4fa1\u3067\u3042\u308b\u3053\u3068\uff0c\u304c\u793a\u3055\u308c\u305f\uff0e\u4ee5\u4e0b\u3067\u306f\uff0c\u6d3b\u6027\u5316\u95a2\u6570\u3092 \"\operatorname{sigmoid}\" \u95a2\u6570\u306b\u56fa\u5b9a\u305b\u305a\uff0c\u3088\u308a\u4e00\u822c\u306e\u975e\u7dda\u5f62\u95a2\u6570 \"f(x)\"\uff0c\"g(x)\" \u3068\u3057\u305f\u5834\u5408\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b\uff0e<\/p>\r\n\r\n

\"\"<\/center>\r\n\r\n

(11) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3053\u306e\u66f4\u65b0\u5f0f\u306b\u3064\u3044\u3066\u3082\u5e73\u8861\u72b6\u614b\uff0c\u3059\u306a\u308f\u3061 \"\dot{x}_i(t)=0\" \u304b\u3064 \"\dot{y}_i(t)=0\" \u306e\u5834\u5408\u3092\u8003\u3048\u308b\u3068<\/p>\r\n

(12) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\uff0e\u3055\u3089\u306b \"x_i(t-\Delta t)=x_i(t)-\dot{x}_i(t) \Delta t+\mathcal{O}\left(\Delta t^2\right)\" \u306e\u95a2\u4fc2\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3068<\/p>\r\n

(13) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u66f8\u304d\u76f4\u305b\u308b\uff0e\u7d50\u5c40\uff0c\u3053\u306e\u66f4\u65b0\u5f0f\u306f\u6d3b\u6027\u5316\u95a2\u6570 \"f(x)=\operatorname{softmax}(x)\"\uff0c\"g(x)=x\" \u304b\u3064 \"v_{i j}=k_{i j}\"\uff0c\"I_i(t) \rightarrow 0\" \u306e\u3068\u304d<\/p>\r\n

(14) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\uff0e\u3053\u3046\u3057\u3066\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3067\u3082\u6ce8\u610f\u6a5f\u69cb\u306e\u66f4\u65b0\u5f0f\u3092\u69cb\u6210\u3067\u304d\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f<\/font>\uff0e\u3053\u3053\u3067\uff0c\u3053\u306e\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u5909\u7a2e\u306b\u3064\u3044\u3066\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u5c0e\u51fa\u3057\u3066\u304a\u3053\u3046\uff0e\u72b6\u614b\u306e\u66f4\u65b0\u5f0f\u3068\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u9593\u306b\u306f\u4ee5\u4e0b\u306e\u95a2\u4fc2<\/p>\r\n

(15) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u304c\u3042\u308b\u306e\u3067\uff0c\u4e2d\u9593\u5c64\uff0c\u51fa\u529b\u5c64\uff0c\u305d\u308c\u305e\u308c\u306e\u30cb\u30e5\u30fc\u30ed\u30f3\u306b\u3064\u3044\u3066\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306f\u4e00\u822c\u306b<\/p>\r\n

(16) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u3068\u66f8\u3051\u308b\uff0e\u8ad6\u6587[4<\/a>]\uff0c\u8ad6\u6587[5<\/a>]\u3067\u691c\u8a0e\u3055\u308c\u305f\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8 (9)\u5f0f\uff08\u6d3b\u6027\u5316\u95a2\u6570 \"f(x)=\operatorname{sigmoid}(x)\"\uff0c\"g(x)=\operatorname{sigmoid}(x)\"\uff09\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306f<\/p>\r\n

(17) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308a\uff0c\u672c\u7a3f\u3067\u691c\u8a0e\u3059\u308b\u6ce8\u610f\u6a5f\u69cb\u3092\u5c0e\u304f\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u5909\u7a2e (11)\u5f0f\uff08\u6d3b\u6027\u5316\u95a2\u6570 \"f(x)=\operatorname{softmax}(x)\"\uff0c\"g(x)=x\"\uff09\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306f<\/p>\r\n

(18) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u3068\u306a\u308b\uff0e\u305f\u3060\u3057\uff0c\"Z\" \u306f \"\operatorname{softmax}(x)\equiv\frac{e^{x}}{Z}\" \u306e\u5206\u914d\u95a2\u6570 \"Z=\int e^{x} dx\" \u3092\u8868\u3057\u3066\u3044\u308b\uff0e<\/p>\r\n<\/div>\r\n\r\n

\r\n

2\u22122. \u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3068\u6ce8\u610f\u6a5f\u69cb<\/h4>\r\n

<\/p>\r\n

<\/p>\r\n

2-1. \u3067\u6c42\u3081\u305f\u6ce8\u610f\u6a5f\u69cb\u306e\u66f4\u65b0\u5f0f (14)\u5f0f \u304c\uff0c\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc\u306b\u642d\u8f09\u3055\u308c\u3066\u3044\u308b\u6ce8\u610f\u6a5f\u69cb<\/p>\r\n

(19) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3092\u518d\u73fe\u3059\u308b\u3053\u3068\u3092\u78ba\u304b\u3081\u3088\u3046\uff0e\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306e\u4e2d\u9593\u5c64\u3068\u51fa\u529b\u5c64\u306e\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u6570\u306f\u7b49\u3057\u3044\uff08\"N_{x}=N_{y}\"\uff09\u3068\u3044\u3046\u6761\u4ef6\u306e\u3082\u3068\u3067<\/p>\r\n

(20) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u3068\u7f6e\u304f\u3068\uff0c(14)\u5f0f \u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304d\u76f4\u305b\u308b\uff0e<\/p>\r\n

(21) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u3053\u306e (21)\u5f0f \u306e\u610f\u5473\u3092\uff0c\u4e00\u90e8\u304c\u6b20\u640d\u3057\u305f\u300e\u30b6\u30fb\u30b7\u30f3\u30d7\u30bd\u30f3\u30ba<\/a>\u300f\u306e\u767b\u5834\u4eba\u7269\u306e\u753b\u50cf\u304b\u3089\uff0c\u5143\u306e\u753b\u50cf\u306f\u3069\u306e\u767b\u5834\u4eba\u7269\u3060\u3063\u305f\u306e\u304b\u3092\u5f53\u3066\u308b\u30bf\u30b9\u30af[2<\/a>]\u3092\u4f8b\u306b\u3068\u3063\u3066\u8aac\u660e\u3057\u3066\u307f\u3088\u3046\uff0e\u307e\u305a\uff0c\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3078\u306e\u611f\u899a\u5165\u529b\u304c\uff0c\u4e2d\u9593\u5c64\u306e\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b\u3092\u5909\u5316\u3055\u305b\uff0c\u30af\u30a8\u30ea\u884c\u5217 \"\boldsymbol{Q}\" \u3092\u4f5c\u308b\uff08\u56f3\u4e2d\u3067\u306f\uff0c\u4e00\u90e8\u304c\u6b20\u640d\u3057\u305f\u300e\u30b6\u30fb\u30b7\u30f3\u30d7\u30bd\u30f3\u30ba<\/a>\u300f\u306e\u767b\u5834\u4eba\u7269\u306e\u753b\u50cf\u306b\u5bfe\u5fdc\u3059\u308b\uff09\uff0e\u305d\u3057\u3066\uff0c\u904e\u53bb\u306e\u5b66\u7fd2\u3067\u8a18\u61b6\u3057\u305f\u300c\u305d\u308c\u305e\u308c\u306e\u8a13\u7df4\u30c7\u30fc\u30bf\u306b\u5bfe\u5fdc\u3059\u308b\u30cb\u30e5\u30fc\u30ed\u30f3\u306e\u72b6\u614b\u306e\u30d1\u30bf\u30fc\u30f3\u300d\u306f\u30ad\u30fc\u884c\u5217 \"\boldsymbol{K}\" \u306b\u8a18\u9332\u3055\u308c\u308b\uff08\u56f3\u4e2d\u3067\u306f\uff0c\u300e\u30b6\u30fb\u30b7\u30f3\u30d7\u30bd\u30f3\u30ba\u300f\u306e\u767b\u5834\u4eba\u7269\u306e\u753b\u50cf\u3092\u4e26\u3079\u305f\u884c\u5217\u306b\u5bfe\u5fdc\u3059\u308b\uff09\uff0e\u30af\u30a8\u30ea\u884c\u5217 \"\boldsymbol{Q}\" \u3068\u30ad\u30fc\u884c\u5217 \"\boldsymbol{K}\" \u306e\u7a4d\u3092\u3068\u308a\uff0c\u3055\u3089\u306b\u305d\u306e\u5024\u3092\u6d3b\u6027\u5316\u95a2\u6570 \"\operatorname{softmax}(x)\" \u306b\u3088\u3063\u3066\u5168\u4f53\u306e\u548c\u304c1\u306b\u306a\u308b\u3088\u3046\u306b\u975e\u7dda\u5f62\u5909\u63db\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\uff0c\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3078\u306e\u611f\u899a\u5165\u529b\u3068\u904e\u53bb\u306e\u5b66\u7fd2\u3067\u8a18\u61b6\u3057\u305f\u305d\u308c\u305e\u308c\u306e\u8a13\u7df4\u30c7\u30fc\u30bf\u3068\u306e\u985e\u4f3c\u5ea6 \"\operatorname{softmax}\left(\boldsymbol{Q} \boldsymbol{K}^{\top}\right)\" \u304c\u8a55\u4fa1\u3055\u308c\u308b\uff0e\u6700\u5f8c\u306b\uff0c\u3053\u306e\u985e\u4f3c\u5ea6\u3068\u8a13\u7df4\u30c7\u30fc\u30bf\u3092\u8a18\u61b6\u3057\u305f\u30ad\u30fc\u884c\u5217\u306b\u91cd\u307f\u3092\u3064\u3051\u305f\u30d0\u30ea\u30e5\u30fc\u884c\u5217 \"\boldsymbol{V}=\boldsymbol{K} \boldsymbol{W}_V\" \u306e\u7a4d\u3092\u3068\u308b\u3053\u3068\u3067\uff0c\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u304c\u904e\u53bb\u306b\u5b66\u7fd2\u3057\u305f\u8a13\u7df4\u30c7\u30fc\u30bf\u306e\u3046\u3061\uff0c\u3069\u306e\u8a13\u7df4\u30c7\u30fc\u30bf\u306b\u6ce8\u610f\u3092\u5411\u3051\u308b\u3079\u304d\u304b\uff0c\u3068\u3044\u3046\u60c5\u5831 \"\operatorname{Attention}\left(\boldsymbol{Q},\boldsymbol{K},\boldsymbol{V}\right)\" \u304c\u51fa\u529b\u3055\u308c\u308b\uff0e<\/p>\r\n\r\n

\"\"<\/center>\r\n\r\n

\u3057\u305f\u304c\u3063\u3066\uff0c\"\operatorname{Attention}\left(\boldsymbol{Q},\boldsymbol{K},\boldsymbol{V}\right) = \boldsymbol{Q}^{\mathrm{new}} \boldsymbol{W}_V\" \u3068\u3059\u308c\u3070 (21)\u5f0f \u3088\u308a<\/p>\r\n

(22) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n

\u304c\u5f97\u3089\u308c\u308b\uff0e\u3053\u3046\u3057\u3066\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3067\u3082\u6ce8\u610f\u6a5f\u69cb\u3092\u5b9f\u88c5\u3067\u304d\u308b\u3053\u3068\u304c\u78ba\u304b\u3081\u3089\u308c\u305f<\/font>\uff0e<\/p>\r\n<\/div>\r\n\r\n\r\n

3. \u6ce8\u610f\u6a5f\u69cb\u3068\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u539f\u7406<\/h4>\r\n\r\n\r\n
\r\n

3\u22121. \u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u539f\u7406\u306b\u5f93\u3046\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc<\/h4>\r\n

<\/p>\r\n

<\/p>\r\n

\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u539f\u7406\u306b\u5f93\u3046\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8 (9)\u5f0f \u306e\u6d3b\u6027\u5316\u95a2\u6570\u306f\u305d\u308c\u305e\u308c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u305f\uff0e<\/p>\r\n

(23) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u81ea\u5df1\u6ce8\u610f\u6a5f\u69cb\u3092\u642d\u8f09\u3057\u305f\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8 (11)\u5f0f \u306e\u6d3b\u6027\u5316\u95a2\u6570\u306f\u305d\u308c\u305e\u308c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u305f\uff0e<\/p>\r\n

(24) <\/span>   <\/span>\"\begin{eqnarray*} & \displaystyle<\/p><\/p>\r\n

\u3053\u308c\u3089\u306e\u6d3b\u6027\u5316\u95a2\u6570\u306f\u6b21\u306e\u5909\u6570\u5909\u63db\u306b\u3088\u3063\u3066\u4e92\u3044\u306b\u79fb\u308a\u5909\u308f\u308b\uff0e\u3057\u305f\u304c\u3063\u3066\uff0c\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3068\u30c8\u30e9\u30f3\u30b9\u30d5\u30a9\u30fc\u30de\u30fc\u306f\u3042\u308b\u7279\u5225\u306a”\u5ea7\u6a19\u5909\u63db”\u306e\u3082\u3068\u3067\u7b49\u4fa1\u306a\u30e2\u30c7\u30eb\u3068\u307f\u306a\u3059\u3053\u3068\u304c\u3067\u304d\u308b\uff0e<\/p>\r\n

(25) <\/span>   <\/span>\"\begin{align*} \displaystyle<\/p><\/p>\r\n\r\n<\/div>\r\n\r\n

\u53c2\u8003\u6587\u732e<\/h4>\r\n

<\/p>\r\n

<\/p>\r\n

    \r\n\t
  1. Hubert Ramsauer,\u00a0Bernhard Sch\u00e4fl,\u00a0Johannes Lehner,\u00a0Philipp Seidl,\u00a0Michael Widrich,\u00a0Thomas Adler,\u00a0Lukas Gruber,\u00a0Markus Holzleitner,\u00a0Milena Pavlovi\u0107,\u00a0Geir Kjetil Sandve,\u00a0Victor Greiff,\u00a0David Kreil,\u00a0Michael Kopp,\u00a0G\u00fcnter Klambauer,\u00a0Johannes Brandstetter and\u00a0Sepp Hochreiter; Hopfield Networks is All You Need<\/a><\/a>. International Conference on Learning Representations (ICLR) 2021.<\/li>\r\n
  2. Hopfield Networks is All You Need<\/a><\/a>, Blog post.<\/li>\r\n\t
  3. Dmitry Krotov, John Hopfield; Large Associative Memory Problem in Neurobiology and Machine Learning<\/a><\/a>.\u00a0International Conference on Learning Representations (ICLR) 2021.<\/li>\r\n\t
  4. Takuya Isomura, Hideaki Shimazaki and Karl Friston; Canonical neural networks perform active inference<\/a><\/a>.\u00a0Commun Biol 2022; 5, 55.<\/li>\r\n
  5. Takuya Isomura, Karl Friston; Reverse-Engineering Neural Networks to Characterize Their Cost Functions<\/a><\/a>.\u00a0Neural Comput 2020; 32 (11): 2085\u20132121.<\/li>\r\n<\/ol>","protected":false},"excerpt":{"rendered":"

    \u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3068\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306b\u306f\uff0c\u3069\u3061\u3089\u3082\u751f\u7269\u5b66\u7684\u59a5\u5f53\u6027\u3092\u3082\u3064\u518d\u5e30\u578b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3068\u3057\u3066\u63d0\u6848\u3055\u308c\u305f\uff0c\u3068\u3044\u3046\u5171\u901a\u70b9\u304c\u3042\u308b\uff0e\u3053\u306e\u6295\u7a3f\u3067\u306f\uff0c\u30e2\u30c0\u30f3\u30fb\u30db\u30c3\u30d7\u30d5\u30a3\u30fc\u30eb\u30c9\u30cd\u30c3\u30c8\u3068\u6b63\u6e96\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u306b\u307e\u305f\u304c […]<\/p>\n","protected":false},"author":135576855,"featured_media":2552,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"{title}\n\n{excerpt}\n\n{url}","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"class_list":["post-3170","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/hayashiyus.jp\/wp-content\/uploads\/2022\/09\/AdobeStock_247945746.jpeg?fit=9200%2C5175&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pcnxx5-P8","_links":{"self":[{"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/posts\/3170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/users\/135576855"}],"replies":[{"embeddable":true,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3170"}],"version-history":[{"count":100,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/posts\/3170\/revisions"}],"predecessor-version":[{"id":3790,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/posts\/3170\/revisions\/3790"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=\/wp\/v2\/media\/2552"}],"wp:attachment":[{"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hayashiyus.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}