{"id":16665,"date":"2025-03-27T09:00:31","date_gmt":"2025-03-27T00:00:31","guid":{"rendered":"https:\/\/www.ecomottblog.com\/?p=16665"},"modified":"2025-03-26T16:16:20","modified_gmt":"2025-03-26T07:16:20","slug":"%e3%82%b3%e3%83%ab%e3%83%a2%e3%82%b4%e3%83%ad%e3%83%95%e3%83%bb%e3%82%a2%e3%83%bc%e3%83%8e%e3%83%ab%e3%83%89%e3%83%bb%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e7%b4%b9%e4%bb%8b","status":"publish","type":"post","link":"https:\/\/www.ecomottblog.com\/?p=16665","title":{"rendered":"\u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u30fb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u7d39\u4ecb"},"content":{"rendered":"

\"\"\u3053\u3061\u3089\u306fAX\u7814\u7a76\u5ba4\u306e\u30ed\u30d9\u30eb\u30c8\u30fb\u30d5\u30d0\u30c1\u3067\u3059\u3002\u3053\u306e\u6295\u7a3f\u3067\u306f\u3001\u6bd4\u8f03\u7684\u65b0\u3057\u3044\u7a2e\u985e\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u3042\u308b \u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u30fb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\uff08Kolmogorov-Arnold Network, KAN\uff09 \u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u307e\u3059\u3002 \u305d\u306e\u540d\u524d\u306f\u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u8868\u73fe\u5b9a\u7406\u306b\u7531\u6765\u3057\u3066\u304a\u308a\u3001\u3053\u306e\u5b9a\u7406\u306f\u300c\u4efb\u610f\u306e\u591a\u5909\u6570\u95a2\u6570\u306f1\u5909\u6570\u95a2\u6570\u306e\u548c\u3068\u3057\u3066\u8868\u73fe\u3067\u304d\u308b\u300d\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002
\n\u3053\u308c\u306f\u3069\u3046\u3044\u3046\u610f\u5473\u3067\u3057\u3087\u3046\u304b\uff1f \u305f\u3068\u3048\u975e\u5e38\u306b\u8907\u96d1\u306a\u6570\u5b66\u7684\u95a2\u4fc2\u3067\u3082\u3001\u3088\u308a\u5358\u7d14\u306a\u90e8\u5206\u306b\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002 \u305d\u306e\u7d50\u679c\u3001\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308a\u3001\u51e6\u7406\u3082\u5bb9\u6613\u306b\u306a\u308a\u307e\u3059\u3002 \u305d\u306e\u305f\u3081\u3001\u79d1\u5b66\u8005\u305f\u3061\u306f\u9577\u5e74\u3053\u306e\u5b9a\u7406\u306b\u95a2\u5fc3\u3092\u6301\u3061\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3078\u306e\u5fdc\u7528\u3092\u6a21\u7d22\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u3001\u6e80\u8db3\u306e\u3044\u304f\u7d50\u679c\u3092\u5f97\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u3002
\n\u8ee2\u6a5f\u304c\u8a2a\u308c\u305f\u306e\u306f2024\u5e744\u6708\u306e\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u5b9a\u7406\u3092\u5229\u7528\u3057\u305f\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u5b66\u7fd2\u65b9\u6cd5\u3092\u8aac\u660e\u3059\u308b\u8ad6\u6587\u304c\u767a\u8868\u3055\u308c\u307e\u3057\u305f[1]\u3002 \u305d\u308c\u4ee5\u6765\u3001\u591a\u304f\u306e\u7814\u7a76\u30c1\u30fc\u30e0\u304c\u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u30fb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306b\u95a2\u3059\u308b\u7814\u7a76\u3092\u767a\u8868\u3057\u59cb\u3081\u307e\u3057\u305f [2]\u3002
\n<\/p>\n

KAN\u306f\u3069\u306e\u3088\u3046\u306b\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u304b\uff1f<\/h1>\n

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\n\u5404\u5c64\u306b\u304a\u3051\u308b\u6d3b\u6027\u5316\u95a2\u6570\u306e\u6570\u306f\u3001\u5165\u529b\u30ce\u30fc\u30c9\u6570 \u00d7 \u51fa\u529b\u30ce\u30fc\u30c9\u6570\u3067\u6c7a\u307e\u308a\u307e\u3059\u3002\u5404\u6d3b\u6027\u5316\u95a2\u6570\u306e\u5024\u306f\u3001\u5165\u529b\u30ce\u30fc\u30c9\u306e1\u3064\u306e\u5024\u306e\u307f\u306b\u57fa\u3065\u3044\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u3053\u308c\u3089\u306e\u95a2\u6570\u306e\u5024\u304c\u9069\u5207\u306b\u5408\u8a08\u3055\u308c\u3001\u51fa\u529b\u30ce\u30fc\u30c9\u306e\u5024\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u306f\u3001\u4fe1\u53f7\u304c\u5c64\u304b\u3089\u5c64\u3078\u3068\u4f1d\u308f\u308b\u969b\u306b\u7e70\u308a\u8fd4\u3055\u308c\u307e\u3059\u3002
\n\u3053\u306e\u4ed5\u7d44\u307f\u306b\u3088\u308a\u3001KAN \u306e\u5404\u5c64\u306f1\u5909\u6570\u306e\u95a2\u6570\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001KAN \u306e\u51fa\u529b\u306f\u3001\u3059\u3079\u3066\u306e\u5165\u529b\u30ce\u30fc\u30c9\u306e\u5024\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u305f\u591a\u5909\u6570\u95a2\u6570\u3068\u306a\u308a\u307e\u3059\uff08\u56f31\u53c2\u7167\uff09\u3002<\/p>\n

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\n\u307e\u305f\u3001\u3053\u308c\u3089\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\u6d3b\u6027\u5316\u95a2\u6570\u306e\u5f62\u72b6\u3092\u8868\u3059\u305f\u3081\u3001\u610f\u5473\u3092\u7406\u89e3\u3057\u3084\u3059\u3044\u3082\u306e\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5f93\u6765\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u5b66\u7fd2\u3067\u4f7f\u7528\u3055\u308c\u308b\u89e3\u91c8\u304c\u96e3\u3057\u3044\u91cd\u307f\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n

XAI\uff08\u8aac\u660e\u53ef\u80fd\u306aAI\uff09\u306e\u4f8b\u3068\u3057\u3066\u306e KAN<\/h1>\n

\u5f93\u6765\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306f\u3001\u3057\u3070\u3057\u3070\u300c\u30d6\u30e9\u30c3\u30af\u30dc\u30c3\u30af\u30b9\u300d\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306f\u975e\u5e38\u306b\u8907\u96d1\u306a\u8a08\u7b97\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u304c\u3001\u5165\u529b\u30c7\u30fc\u30bf\u3068\u8a08\u7b97\u7d50\u679c\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3059\u308b\u306e\u306f\u5bb9\u6613\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 \u3053\u308c\u306f\u3001\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u5185\u90e8\u306e\u60c5\u5831\u304c\u91cd\u307f\u3068\u3057\u3066\u7b26\u53f7\u5316\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3067\u3059\u3002\u91cd\u307f\u306f\u5358\u306a\u308b\u6570\u5024\u3067\u3042\u308a\u3001\u4eba\u9593\u306b\u3068\u3063\u3066\u76f4\u611f\u7684\u306b\u7406\u89e3\u3057\u306b\u304f\u3044\u3082\u306e\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u3001\u305f\u3068\u3048\u7cbe\u5ea6\u304c\u9ad8\u304f\u3066\u3082\u3001\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u8a08\u7b97\u7d50\u679c\u306b\u5bfe\u3059\u308b\u4fe1\u983c\u6027\u304c\u4f4e\u4e0b\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\uff08\u7279\u306b\u3001\u533b\u7642\u30fb\u91d1\u878d\u30fb\u6cd5\u5f8b\u306a\u3069\u306e\u5206\u91ce\u306b\u304a\u3044\u3066 [3]\uff09\u3002
\n\u3053\u308c\u306b\u5bfe\u3057\u3066\u3001KAN \u306f\u77e5\u8b58\u3092\u6d3b\u6027\u5316\u95a2\u6570\u306e\u5f62\u3067\u4fdd\u5b58\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u95a2\u6570\u306f\u53ef\u8996\u5316\u3067\u304d\u308b\u305f\u3081\u3001\u5165\u529b\u30c7\u30fc\u30bf\u304c\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6700\u7d42\u51fa\u529b\u306b\u3069\u306e\u3088\u3046\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3092\u8996\u899a\u7684\u306b\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u3053\u308c\u306b\u3088\u308a\u3001KAN \u306e\u4ed5\u7d44\u307f\u304c\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308a\u3001\u5f93\u6765\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u6bd4\u3079\u3066\u900f\u660e\u6027\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002
\n\u3055\u3089\u306b\u3001\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u5f8c\u306e KAN \u306f\u3001\u6a5f\u80fd\u6027\u3092\u5927\u304d\u304f\u640d\u306a\u3046\u3053\u3068\u306a\u304f\u3001\u5c0f\u578b\u5316\uff08\u5727\u7e2e\uff09\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002 \u3053\u308c\u306b\u306f\u300c\u30d7\u30eb\u30fc\u30cb\u30f3\u30b0\uff08Pruning\uff09\u300d[1] \u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u624b\u6cd5\u306f\u3001\u6a5f\u68b0\u5b66\u7fd2\u3067\u3088\u304f\u77e5\u3089\u308c\u308b L1 \u6b63\u5247\u5316<\/a> \u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u30d7\u30eb\u30fc\u30cb\u30f3\u30b0\u3092\u884c\u3046\u3068\u3001\u30ce\u30fc\u30c9\u9593\u306e\u63a5\u7d9a\u5bc6\u5ea6\u304c\u4f4e\u4e0b\u3057\u3001\u6700\u3082\u5f71\u97ff\u529b\u306e\u5927\u304d\u3044\u6d3b\u6027\u5316\u95a2\u6570\u306e\u307f\u304c\u6b8b\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u5c0f\u578b\u5316\u3055\u308c\u305f KAN \u306f\u3055\u3089\u306b\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002
\n\u30d7\u30eb\u30fc\u30cb\u30f3\u30b0\u306e\u5f8c\u306b\u306f\u3001\u8ffd\u52a0\u3067\u300c\u8a18\u53f7\u56de\u5e30\uff08symbolic regression\uff09\u300d[1] \u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u6d3b\u6027\u5316\u95a2\u6570\u306e\u5f62\u72b6\u3092\u6700\u3082\u3088\u304f\u8868\u73fe\u3059\u308b\u6570\u5b66\u7684\u306a\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u30d7\u30ed\u30bb\u30b9\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001sin, cos, exp \u306a\u3069\u306e\u57fa\u672c\u7684\u306a\u6570\u5b66\u95a2\u6570\u3092\u7528\u3044\u307e\u3059\u3002
\nKAN \u3068\u8a18\u53f7\u56de\u5e30\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u8208\u5473\u6df1\u3044\u5fdc\u7528\u4f8b\u3068\u3057\u3066\u3001\u539f\u5b50\u6838\u7269\u7406\u5b66\u306e\u7814\u7a76 [4] \u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u7814\u7a76\u3067\u306f\u3001KAN \u3092\u6d3b\u7528\u3057\u3066\u3001\u6838\u7d50\u5408\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u7c21\u7565\u5316\u3055\u308c\u305f\u89e3\u6790\u5f0f\u3092\u63d0\u6848\u3057\u307e\u3057\u305f\u3002\u305d\u306e\u7d50\u679c\u3001\u3053\u306e\u5f0f\u306f\u53e4\u5178\u7684\u306a\u7269\u7406\u30e2\u30c7\u30eb\u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n

\u307e\u3068\u3081<\/h1>\n

\u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306f\u3001\u30c7\u30fc\u30bf\u306e\u30e2\u30c7\u30ea\u30f3\u30b0\u3068\u5206\u6790\u306b\u5bfe\u3059\u308b\u65b0\u3057\u3044\u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u5f93\u6765\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u306f\u7570\u306a\u308a\u3001KAN\u306f\u3088\u308a\u900f\u660e\u6027\u304c\u9ad8\u304f\u3001\u7406\u89e3\u3057\u3084\u3059\u3044\u306e\u304c\u7279\u5fb4\u3067\u3059\u3002\u305d\u306e\u7406\u7531\u306f\u3001\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u300c\u77e5\u8b58\u300d\u304c\u89e3\u91c8\u3057\u306b\u304f\u3044\u91cd\u307f\u3067\u306f\u306a\u304f\u3001\u6d3b\u6027\u5316\u95a2\u6570\u306e\u5f62\u3067\u4fdd\u5b58\u3055\u308c\u308b\u305f\u3081\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7814\u7a76\u8005\u3084\u30a8\u30f3\u30b8\u30cb\u30a2\u306f\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u610f\u601d\u6c7a\u5b9a\u30d7\u30ed\u30bb\u30b9\u3092\u3088\u308a\u7c21\u5358\u306b\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001KAN\u306f\u52b9\u679c\u3092\u5927\u304d\u304f\u640d\u306a\u3046\u3053\u3068\u306a\u304f\u7c21\u7d20\u5316\u3057\u3001\u30b5\u30a4\u30ba\u3092\u7e2e\u5c0f\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u7279\u6027\u306b\u3088\u308a\u3001KAN\u306f\u7279\u306bAI\u30e2\u30c7\u30eb\u306e\u52d5\u4f5c\u3092\u8aac\u660e\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u306a\u5834\u9762\u3067\u3001\u6709\u7528\u306a\u30c4\u30fc\u30eb\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u6587\u732e\uff1a<\/h1>\n

[1] Z. Liu, Y. Wang, S. Vaidya, F. Ruehle, J. Halverson, M. Soljacic, T. Y. Hou, M. Tegmark: KAN: Kolmogorov\u2013Arnold Networks, arXiv:2404.19756v4<\/a>
\n[2] S. Somvanshi, S. Aaqib Javed, M. M.l Islam, D. Pandit, S. Das: A Survey on Kolmogorov-Arnold Network, arXiv:2411.06078<\/a>
\n[3] B. Delovski, Kolmogorov – Arnold Networks: The Future of AI?, blog link<\/a>
\n[4] H. Liu, J. Lei, Z. Ren: From Complexity to Clarity: Kolmogorov-Arnold Networks in Nuclear Binding Energy Prediction, arXiv:2407.20737v2<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

\u3053\u3061\u3089\u306fAX\u7814\u7a76\u5ba4\u306e\u30ed\u30d9\u30eb\u30c8\u30fb\u30d5\u30d0\u30c1\u3067\u3059\u3002\u3053\u306e\u6295\u7a3f\u3067\u306f\u3001\u6bd4\u8f03\u7684\u65b0\u3057\u3044\u7a2e\u985e\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u3042\u308b \u30b3\u30eb\u30e2\u30b4\u30ed\u30d5\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u30fb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\uff08Kolmogorov-Arnold Network, KAN\uff09 \u306b\u3064\u3044\u3066\u7d39\u4ecb […]<\/p>\n","protected":false},"author":104,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[271,270,272,213,65],"_links":{"self":[{"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts\/16665"}],"collection":[{"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/users\/104"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=16665"}],"version-history":[{"count":27,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts\/16665\/revisions"}],"predecessor-version":[{"id":16763,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts\/16665\/revisions\/16763"}],"wp:attachment":[{"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=16665"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=16665"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=16665"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}