{"id":10035,"date":"2026-10-06T17:22:16","date_gmt":"2026-10-06T08:22:16","guid":{"rendered":"https:\/\/since2020.jp\/media\/?p=10035"},"modified":"2026-10-06T17:22:17","modified_gmt":"2026-10-06T08:22:17","slug":"rbf-network","status":"publish","type":"post","link":"https:\/\/since2020.jp\/media\/rbf-network\/","title":{"rendered":"RBF\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u306f\uff1f"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u306f\u3058\u3081\u306b<\/h2>\n\n\n\n<p>\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u805e\u304f\u3068\u3001\u4f55\u5c64\u306b\u3082\u91cd\u306d\u305f\u6df1\u5c64\u5b66\u7fd2\u3092\u601d\u3044\u6d6e\u304b\u3079\u308b\u65b9\u304c\u591a\u3044\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>RBF\uff08Radial Basis Function\u3001\u653e\u5c04\u57fa\u5e95\u95a2\u6570\uff09\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306f\u3001\u3088\u308a\u30b7\u30f3\u30d7\u30eb\u306a\u69cb\u9020\u3067\u975e\u7dda\u5f62\u306a\u95a2\u4fc2\u3092\u5b66\u7fd2\u3059\u308b\u624b\u6cd5\u3067\u3059\u3002\u5927\u304d\u306a\u7279\u5fb4\u306f\u3001\u300c\u5165\u529b\u304c\u3001\u8a2d\u5b9a\u3057\u305f\u4ee3\u8868\u70b9\uff08\u4e2d\u5fc3\uff09\u306b\u3069\u308c\u304f\u3089\u3044\u8fd1\u3044\u304b\u300d\u3092\u624b\u304c\u304b\u308a\u306b\u4e88\u6e2c\u3092\u884c\u3046\u70b9\u306b\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5bb6\u8cc3\u3092\u898b\u7a4d\u3082\u308b\u3068\u304d\u306b\u300c\u99c5\u304b\u3089\u306e\u8ddd\u96e2\u3084\u5e83\u3055\u304c\u4f3c\u3066\u3044\u308b\u7269\u4ef6\u306e\u5bb6\u8cc3\u300d\u3092\u53c2\u8003\u306b\u3059\u308b\u3088\u3046\u306a\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6b21\u306e3\u70b9\u3092\u9806\u306b\u3054\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>RBF\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u57fa\u672c\u7684\u306a\u4ed5\u7d44\u307f<\/li>\n\n\n\n<li>\u5f97\u610f\u306a\u3053\u3068\u3068\u3001\u4f7f\u3046\u969b\u306e\u6ce8\u610f\u70b9<\/li>\n\n\n\n<li>\u659c\u9762\u306e\u52d5\u304d\u3092\u76e3\u8996\u3057\u3001\u8b66\u6212\u306e\u76ee\u5b89\u3092\u4f5c\u308b\u5fdc\u7528\u4f8b<\/li>\n<\/ul>\n\n\n\n<p>\u6570\u5f0f\u3082\u5c11\u3057\u767b\u5834\u3057\u307e\u3059\u304c\u3001\u5177\u4f53\u7684\u306a\u4f7f\u308f\u308c\u65b9\u306f\u6700\u5f8c\u306e\u5fdc\u7528\u4f8b\u3067\u3054\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u306e\u3067\u3001\u30a4\u30e1\u30fc\u30b8\u304c\u3064\u304b\u307f\u306b\u304f\u3044\u5834\u5408\u306f\u305d\u3061\u3089\u3082\u3042\u308f\u305b\u3066\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">RBF\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u4ed5\u7d44\u307f<\/h2>\n\n\n\n<p>\u57fa\u672c\u7684\u306a\u69cb\u6210\u306f\u3001\u5165\u529b\u5c64\u3001RBF\u3092\u8a08\u7b97\u3059\u308b\u96a0\u308c\u5c64\u3001\u51fa\u529b\u5c64\u306e3\u5c64\u3067\u3059\u3002\u96a0\u308c\u5c64\u306e\u5404\u30e6\u30cb\u30c3\u30c8\u306f\u3001\u305d\u308c\u305e\u308c\u300c\u4e2d\u5fc3\u300d\u3068\u300c\u5e45\uff08\u5e83\u304c\u308a\uff09\u300d\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\u4ee3\u8868\u7684\u306a\u30ac\u30a6\u30b9\u95a2\u6570\u3092\u7528\u3044\u308b\u5834\u5408\u3001\u96a0\u308c\u30e6\u30cb\u30c3\u30c8\u306e\u53cd\u5fdc\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-text-align-center\">$\\phi_j(\\boldsymbol{x})=\\exp\\left(-\\frac{\\|\\boldsymbol{x}-\\boldsymbol{c}_j\\|^2}{2\\sigma_j^2}\\right),\\qquad \\hat{y}(\\boldsymbol{x})=b+ \\sum_{j=1}^{M} w_j\\phi_j(\\boldsymbol{x})$<\/p>\n\n\n\n\n\n<p>\u3053\u3053\u3067<math data-latex=\" \\boldsymbol{x}\"><semantics><mi>\ud835\udc99<\/mi><annotation encoding=\"application\/x-tex\"> \\boldsymbol{x}<\/annotation><\/semantics><\/math> \u306f\u5165\u529b\u3001<math data-latex=\"\\boldsymbol{c}_j \"><semantics><msub><mi>\ud835\udc84<\/mi><mi>j<\/mi><\/msub><annotation encoding=\"application\/x-tex\">\\boldsymbol{c}_j <\/annotation><\/semantics><\/math>\u306f\u4e2d\u5fc3\u3001<math data-latex=\"\\sigma_j \"><semantics><msub><mi>\u03c3<\/mi><mi>j<\/mi><\/msub><annotation encoding=\"application\/x-tex\">\\sigma_j <\/annotation><\/semantics><\/math>\u306f\u53cd\u5fdc\u3059\u308b\u7bc4\u56f2\u3092\u6c7a\u3081\u308b\u5e45\u3001<math data-latex=\"w_j \"><semantics><msub><mi>w<\/mi><mi>j<\/mi><\/msub><annotation encoding=\"application\/x-tex\">w_j <\/annotation><\/semantics><\/math>\u306f\u51fa\u529b\u3078\u306e\u91cd\u307f\u3067\u3059\u3002\u307e\u305f\u3001<math data-latex=\"b\"><semantics><mi>b<\/mi><annotation encoding=\"application\/x-tex\">b<\/annotation><\/semantics><\/math>\u306f\u51fa\u529b\u5168\u4f53\u3092\u8abf\u6574\u3059\u308b\u30d0\u30a4\u30a2\u30b9\u3001<math data-latex=\"M\"><semantics><mi>M<\/mi><annotation encoding=\"application\/x-tex\">M<\/annotation><\/semantics><\/math>\u306f\u96a0\u308c\u30e6\u30cb\u30c3\u30c8\u306e\u6570\u3001<math data-latex=\"\\hat{y} \"><semantics><mover><mi>y<\/mi><mo stretchy=\"false\" class=\"tml-xshift\">^<\/mo><\/mover><annotation encoding=\"application\/x-tex\">\\hat{y} <\/annotation><\/semantics><\/math>\u306f\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u3067\u3059\u3002\u5165\u529b\u304c\u4e2d\u5fc3\u306b\u8fd1\u3044\u307b\u3069\u53cd\u5fdc\u306f\u5927\u304d\u304f\u306a\u308a\u3001\u96e2\u308c\u308b\u307b\u3069\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u305f\u8907\u6570\u306e\u30e6\u30cb\u30c3\u30c8\u306e\u53cd\u5fdc\u3092\u91cd\u307f\u4ed8\u304d\u3067\u8db3\u3057\u5408\u308f\u305b\u3001\u30d0\u30a4\u30a2\u30b9\u3092\u52a0\u3048\u308b\u3053\u3068\u3067\u3001\u66f2\u7dda\u7684\u306a\u4e88\u6e2c\u3084\u8907\u96d1\u306a\u5883\u754c\u3092\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e2d\u5fc3\u306e\u6c7a\u3081\u65b9\u306b\u306f\u3001\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3067\u30c7\u30fc\u30bf\u306e\u4ee3\u8868\u70b9\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3084\u3001\u683c\u5b50\u306e\u4ea4\u70b9\u306b\u914d\u7f6e\u3059\u308b\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u4eca\u56de\u7d39\u4ecb\u3059\u308b\u659c\u9762\u8a08\u6e2c\u306e\u8cc7\u6599\u3067\u306f\u3001\u683c\u5b50\u306e\u4ea4\u70b9\u306b\u57fa\u5e95\u95a2\u6570\u3092\u914d\u7f6e\u3057\u3066\u3044\u307e\u3059\u3002\u4e2d\u5fc3\u3068\u5e45\u3092\u56fa\u5b9a\u3057\u305f\u3042\u3068\u3067\u3042\u308c\u3070\u3001\u51fa\u529b\u306e\u91cd\u307f\u306f\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3084\u6b63\u5247\u5316\u4ed8\u304d\u306e\u56de\u5e30\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5f97\u610f\u306a\u3053\u3068\u3068\u6ce8\u610f\u70b9<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5c40\u6240\u7684\u306a\u5909\u5316\u3092\u8868\u73fe\u3057\u3084\u3059\u3044\u3002<\/strong> \u4e2d\u5fc3\u306e\u8fd1\u304f\u3067\u5f37\u304f\u53cd\u5fdc\u3059\u308b\u305f\u3081\u3001\u300c\u3053\u306e\u6761\u4ef6\u306e\u5468\u8fba\u3067\u306f\u3053\u306e\u3088\u3046\u306b\u632f\u308b\u821e\u3046\u300d\u3068\u3044\u3046\u95a2\u4fc2\u3092\u7d44\u307f\u5408\u308f\u305b\u3066\u8868\u73fe\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n\n\n\n<li><strong>\u4e2d\u5fc3\u306e\u6570\u3068\u5e45\u306b\u3088\u3063\u3066\u6027\u80fd\u304c\u5de6\u53f3\u3055\u308c\u308b\u3002<\/strong> \u30e6\u30cb\u30c3\u30c8\u304c\u5c11\u306a\u3059\u304e\u305f\u308a\u5e45\u304c\u5e83\u3059\u304e\u305f\u308a\u3059\u308b\u3068\u7d30\u304b\u306a\u5909\u5316\u3092\u6349\u3048\u306b\u304f\u304f\u306a\u308a\u307e\u3059\u3002\u9006\u306b\u3001\u30e6\u30cb\u30c3\u30c8\u3092\u5897\u3084\u3057\u3059\u304e\u305f\u308a\u5e45\u3092\u72ed\u304f\u3057\u3059\u304e\u305f\u308a\u3059\u308b\u3068\u3001\u89b3\u6e2c\u30c7\u30fc\u30bf\u306b\u904e\u5ea6\u306b\u9069\u5408\uff08\u904e\u5b66\u7fd2\uff09\u3057\u3066\u3057\u307e\u3046\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n\n\n\n<li><strong>\u672a\u89b3\u6e2c\u306e\u9818\u57df\u3078\u306e\u5916\u633f\u306b\u306f\u6ce8\u610f\u304c\u5fc5\u8981\u3002<\/strong> 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class=\"wp-block-heading\">\u5fdc\u7528\u4f8b\uff1a\u659c\u9762\u306e\u52d5\u304d\u3092\u898b\u5b88\u308a\u3001\u8b66\u6212\u306e\u76ee\u5b89\u3092\u4f5c\u308b<\/h2>\n\n\n\n<p>\u5c71\u9053\u6cbf\u3044\u306e\u659c\u9762\u3084\u5de5\u4e8b\u73fe\u5834\u3067\u306f\u3001\u5730\u9762\u304c\u5c11\u3057\u305a\u3064\u52d5\u3044\u3066\u3044\u306a\u3044\u304b\u3092\u30bb\u30f3\u30b5\u30fc\u3067\u8a08\u6e2c\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5730\u9762\u306e\u50be\u304d\u3084\u4e80\u88c2\u306e\u5e83\u304c\u308a\u5177\u5408\u3068\u3044\u3063\u305f\u8a18\u9332\u3067\u3059\u3002\u52d5\u304d\u304c\u5927\u304d\u304f\u306a\u308c\u3070\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u304c\u3001<strong>\u300c\u4f55\u30df\u30ea\u52d5\u3044\u305f\u3089\u5371\u967a\u304b\u300d<\/strong>\u3092\u4e00\u5f8b\u306b\u6c7a\u3081\u308b\u306e\u306f\u7c21\u5358\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u659c\u9762\u306e\u5730\u5f62\u3084\u5730\u76e4\u306e\u72b6\u614b\u306b\u3088\u308a\u5d29\u308c\u3084\u3059\u3055\u304c\u7570\u306a\u308b\u305f\u3081\u3067\u3059\u3002<a href=\"https:\/\/www.wjec.co.jp\/pickup\/img\/artificial\/rbf.pdf\">[2]<\/a><\/p>\n\n\n\n<p>\u4eee\u306b\u3001\u659c\u9762A\u306f\u6bce\u65e5\u308f\u305a\u304b\u306b\u52d5\u3044\u3066\u3044\u3066\u3082\u5b89\u5b9a\u3057\u3066\u304a\u308a\u3001\u659c\u9762B\u306f\u666e\u6bb5\u307b\u3068\u3093\u3069\u52d5\u304b\u306a\u3044\u3068\u3057\u307e\u3059\u3002\u540c\u3058\u300c2\u30df\u30ea\u52d5\u3044\u305f\u300d\u3068\u3044\u3046\u8a18\u9332\u3067\u3082\u3001A\u3068B\u3067\u306f\u610f\u5473\u5408\u3044\u304c\u5909\u308f\u3063\u3066\u304d\u305d\u3046\u3067\u3059\u3002\u3042\u304f\u307e\u3067\u8aac\u660e\u306e\u305f\u3081\u306e\u4f8b\u3067\u3059\u304c\u3001\u659c\u9762\u3054\u3068\u306b\u8b66\u6212\u306e\u76ee\u5b89\u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"491\" src=\"https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/\u659c\u9762\u306e\u52d5\u304d\u8a08\u6e2c\u4ef6\u6570-1024x491.png\" alt=\"\" class=\"wp-image-10041\" srcset=\"https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/\u659c\u9762\u306e\u52d5\u304d\u8a08\u6e2c\u4ef6\u6570-1024x491.png 1024w, https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/\u659c\u9762\u306e\u52d5\u304d\u8a08\u6e2c\u4ef6\u6570-300x144.png 300w, https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/\u659c\u9762\u306e\u52d5\u304d\u8a08\u6e2c\u4ef6\u6570-768x368.png 768w, https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/\u659c\u9762\u306e\u52d5\u304d\u8a08\u6e2c\u4ef6\u6570-1536x736.png 1536w, https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/\u659c\u9762\u306e\u52d5\u304d\u8a08\u6e2c\u4ef6\u6570-2048x981.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption 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https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/RBF\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u8aac\u660e\u56f3-1536x864.png 1536w, https:\/\/since2020.jp\/media\/wp-content\/uploads\/2026\/10\/RBF\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u8aac\u660e\u56f3-2048x1152.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u56f32\uff1aRBF\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u7ba1\u7406\u57fa\u6e96\u7dda\u3092\u4f5c\u308b\u6d41\u308c\uff08\u6a21\u5f0f\u56f3\uff09<\/figcaption><\/figure>\n\n\n\n<p>\u5148\u307b\u3069\u306e\u5f0f\u3068\u306e\u5bfe\u5fdc\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u308b\u3068\u308f\u304b\u308a\u3084\u3059\u3044\u3068\u601d\u3044\u307e\u3059\u30021\u6642\u9593\u5909\u4f4d\u91cf\u306824\u6642\u9593\u5909\u4f4d\u91cf\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u5165\u529b <math data-latex=\"\\boldsymbol{x}\"><semantics><mi>\ud835\udc99<\/mi><annotation encoding=\"application\/x-tex\">\\boldsymbol{x}<\/annotation><\/semantics><\/math> 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Function\u3001\u653e\u5c04\u57fa\u5e95\u95a2\u6570\uff09\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306f\u3001\u3088\u308a\u30b7\u30f3\u30d7\u30eb\u306a\u69cb\u9020\u3067\u975e\u7dda\u5f62\u306a\u95a2\u4fc2\u3092 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