{"id":21373,"date":"2026-01-29T09:00:42","date_gmt":"2026-01-29T00:00:42","guid":{"rendered":"https:\/\/www.ecomottblog.com\/?p=21373"},"modified":"2026-03-23T06:23:35","modified_gmt":"2026-03-22T21:23:35","slug":"windsorml%e3%81%ae%e3%83%87%e3%83%bc%e3%82%bf%e3%82%92%e7%94%a8%e3%81%84%e3%81%9f-pinn-%e3%81%ab%e3%82%88%e3%82%8b%e8%87%aa%e5%8b%95%e8%bb%8a%e5%91%a8%e3%82%8a%e3%81%ae%e6%b5%81%e3%82%8c%e3%81%ae","status":"publish","type":"post","link":"https:\/\/www.ecomottblog.com\/?p=21373","title":{"rendered":"WindsorML\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u305f PINN \u306b\u3088\u308b\u81ea\u52d5\u8eca\u5468\u308a\u306e\u6d41\u308c\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-21397 alignright\" src=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/intro_1.jpg\" alt=\"\" width=\"396\" height=\"222\" srcset=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/intro_1.jpg 514w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/intro_1-300x168.jpg 300w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/intro_1-304x170.jpg 304w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/intro_1-282x158.jpg 282w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/>\u3053\u3093\u306b\u3061\u306f\uff01AX\u7814\u7a76\u5ba4\u306e\u30ed\u30d9\u30eb\u30c8\u30fb\u30d5\u30d0\u30c1\u3067\u3059\u3002<br \/>\n\u8fd1\u5e74\u3001\u6a5f\u68b0\u5b66\u7fd2\u3092\u6d41\u4f53\u529b\u5b66\u306e\u554f\u984c\u306b\u5fdc\u7528\u3059\u308b\u7814\u7a76\u304c\u6ce8\u76ee\u3092\u96c6\u3081\u3066\u3044\u307e\u3059\u3002<br \/>\n\u305d\u306e\u4e2d\u3067\u3082Physics-Informed Neural Networks\uff08PINN\uff09\u306f\u3001\u30c7\u30fc\u30bf\u306b\u57fa\u3065\u304f\u624b\u6cd5\u3068\u7269\u7406\u6cd5\u5247\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u70b9\u304c\u5927\u304d\u306a\u7279\u5fb4\u3067\u3042\u308a\u3001\u5c11\u91cf\u306e\u30c7\u30fc\u30bf\u3067\u3082\u7269\u7406\u73fe\u8c61\u3092\u518d\u73fe\u3067\u304d\u308b\u53ef\u80fd\u6027\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002PINN\u306e\u6982\u8981\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u524d\u306e<a href=\"https:\/\/www.ecomottblog.com\/?p=9469\">\u6295\u7a3f<\/a>\u306e\u4e00\u3064\u3067\u7d39\u4ecb\u3044\u308b\u306e\u3067\u305d\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u672c\u30d6\u30ed\u30b0\u3067\u306f\u3001\u516c\u958b\u3055\u308c\u3066\u3044\u308bCFD\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8WindsorML\uff08Ashton et al., 2024\uff09\u3092\u7528\u3044\u3066\u3001\u81ea\u52d5\u8eca\u5468\u308a\u306e\u4e71\u6d41\u7a7a\u6c17\u6d41\u308c\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3063\u305f\u4e8b\u4f8b\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002\u5bfe\u8c61\u306f\u3001WindsorML\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u542b\u307e\u308c\u308b\u591a\u6570\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30b1\u30fc\u30b9\u306e\u4e00\u3064\u3067\u3042\u308brun_0\u30b1\u30fc\u30b9\u3067\u3059\u3002<br \/>\nWindsorML\u306f\u3001\u81ea\u52d5\u8eca\u7a7a\u529b\u3092\u9ad8\u7cbe\u5ea6\u306b\u89e3\u6790\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u69cb\u7bc9\u3055\u308c\u305f\u5927\u898f\u6a21\u304b\u3064\u9ad8\u54c1\u8cea\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u3059\u304c\u3001\u305d\u306e\u898f\u6a21\u306e\u5927\u304d\u3055\u304b\u3089\u3001\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u3092\u305d\u306e\u307e\u307e\u5229\u7528\u3059\u308b\u3053\u3068\u306f\u5b9f\u969b\u306b\u306f\u5bb9\u6613\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p data-start=\"285\" data-end=\"434\">\u305d\u3053\u3067\u672c\u691c\u8a0e\u3067\u306f\u3001WindsorML\u30c7\u30fc\u30bf\u306e\u3054\u304f\u4e00\u90e8\u306e\u307f\u3092\u4f7f\u7528\u3057\u305f\u5834\u5408\u306b\u3001PINN\u30e2\u30c7\u30eb\u304c\u3069\u306e\u7a0b\u5ea6\u6d41\u308c\u5834\u3092\u518d\u73fe\u3067\u304d\u308b\u306e\u304b\u3092\u691c\u8a3c\u3057\u307e\u3057\u305f\u3002\u5143\u30c7\u30fc\u30bf\u306f\u7d042\u5104\u70b9\u3067\u3059\u304c\u3001\u30d9\u30fc\u30b9\u30e9\u30a4\u30f3\u7528\u306e\u30c7\u30fc\u30bf\u3068\u3057\u3066\u7d04200\u4e07\u70b9\uff08\u7d041%\uff09\u3092\u62bd\u51fa\u3057\u3001PINN\u306e\u5b66\u7fd2\u306b\u306f\u3055\u3089\u306b\u5c11\u91cf\u306e50,000\u70b9\uff08\u7d040.025%\uff09\u3092\u7528\u3044\u307e\u3057\u305f\u3002<\/p>\n<p data-start=\"436\" data-end=\"447\">\u3053\u306e\u8a18\u4e8b\u3067\u5206\u304b\u308b\u3053\u3068\uff1a<\/p>\n<ul data-start=\"448\" data-end=\"609\">\n<li data-start=\"448\" data-end=\"515\">\n<p data-start=\"450\" data-end=\"515\">\u7d042\u5104\u70b9\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u3001\u5b66\u7fd2\u70b950,000\u70b9\uff08\u7d040.025%\uff09\u3068\u3044\u3046\u6975\u5c11\u30c7\u30fc\u30bf\u3067\u3082\u3001PINN\u3067\u6d41\u308c\u5834\u3092\u3069\u3053\u307e\u3067\u518d\u73fe\u3067\u304d\u308b\u304b<\/p>\n<\/li>\n<li data-start=\"516\" data-end=\"560\">\n<p data-start=\"518\" data-end=\"560\">\u9650\u3089\u308c\u305f\u89b3\u6e2c\u70b9\u3067\u5b66\u7fd2\u3057\u305f\u5834\u5408\u306b\u3001\u518d\u73fe\u3057\u3084\u3059\u3044\u9818\u57df\uff0f\u8aa4\u5dee\u304c\u51fa\u3084\u3059\u3044\u9818\u57df\u304c\u3069\u3053\u306b\u73fe\u308c\u308b\u304b<\/p>\n<\/li>\n<li data-start=\"561\" data-end=\"609\">\n<p data-start=\"563\" data-end=\"609\">\u5c11\u91cf\u30c7\u30fc\u30bf\u5b66\u7fd2\u3092\u524d\u63d0\u306b\u3057\u305f\u3068\u304d\u306e\u3001\uff08\u672c\u8a18\u4e8b\u3067\u7528\u3044\u305f\uff09\u5b66\u7fd2\u8a2d\u5b9a\u30fb\u524d\u51e6\u7406\u304c\u7d50\u679c\u306b\u3069\u3046\u5f71\u97ff\u3057\u5f97\u308b\u304b<\/p>\n<\/li>\n<\/ul>\n<p><!--more--><\/p>\n<h2>\u4e71\u6d41\u3068\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b<\/h2>\n<p><strong>\u4e71\u6d41<\/strong>\u3068\u306f\u3001<strong>\u6d41\u4f53<\/strong>\uff08\u6db2\u4f53\u307e\u305f\u306f\u6c17\u4f53\u3001\u4f8b\u3048\u3070\u7a7a\u6c17\uff09\u304c\u4e0d\u898f\u5247\u306b\u52d5\u304f\u72b6\u614b\u3092\u6307\u3057\u3001\u305d\u306e\u4e2d\u3067\u306f\u591a\u6570\u306e\u6e26\u304c\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6e26\u306f\u3001\u6025\u6fc0\u3067\u4e0d\u898f\u5247\u306a\u901f\u5ea6\u5909\u5316\uff08\u5909\u52d5\uff09\u3092\u5f15\u304d\u8d77\u3053\u3057\u3001\u3053\u308c\u3092\u30d5\u30e9\u30af\u30c1\u30e5\u30a8\u30fc\u30b7\u30e7\u30f3\u3068\u547c\u3073\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5909\u52d5\u306e\u5e73\u5747\u7684\u306a\u52b9\u679c\u306f\u3001\u3044\u308f\u3086\u308b\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u306b\u3088\u3063\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u306f\u3001\u76f4\u611f\u7684\u306b\u306f\u3001\u4e71\u6d41\u306b\u3088\u3063\u3066\u751f\u3058\u308b\u6d41\u4f53\u5185\u306e\u8ffd\u52a0\u7684\u306a\u300c\u6469\u64e6\u300d\u3068\u3057\u3066\u6349\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<br \/>\n\u3053\u306e\u3088\u3046\u306a\u6d41\u4f53\u306e\u904b\u52d5\u306f\u3001\u4e71\u6d41\u6d41\u308c\u307e\u305f\u306f\u30bf\u30fc\u30d3\u30e5\u30ec\u30f3\u30c8\u6d41\u308c\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>CFD\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8WindsorML\u306b\u306f\u3001\u81ea\u52d5\u8eca\u5468\u308a\u306e\u4e71\u6d41\u7a7a\u6c17\u6d41\u308c\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u7d50\u679c\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30c7\u30fc\u30bf\u306e\u4e2d\u306b\u4e71\u6d41\u306e\u5f71\u97ff\u3001\u3059\u306a\u308f\u3061\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u306b\u95a2\u3059\u308b\u60c5\u5831\u3082\u542b\u307e\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3046\u969b\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u5fdc\u529b\u3092\u9069\u5207\u306b\u8a55\u4fa1\u30fb\u63a8\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p data-start=\"278\" data-end=\"400\">\u7406\u8ad6\u7684\u306b\u306f\u3001\u901f\u5ea6\u30fb\u5727\u529b\u30fb\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3092\u540c\u6642\u306b\u4e88\u6e2c\u3059\u308b\u4e00\u3064\u306e\u5927\u898f\u6a21\u306aPINN\u3092\u7528\u3044\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u5b9f\u969b\u306b\u306f\u3053\u306e\u3088\u3046\u306a\u624b\u6cd5\u306f\u5b9f\u88c5\u304c\u96e3\u3057\u304f\u3001\u5b66\u7fd2\u304c\u4e0d\u5b89\u5b9a\u306b\u306a\u308b\u306a\u3069\u306e\u554f\u984c\u304c\u8d77\u3053\u308a\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u672c\u691c\u8a0e\u3067\u306f\u3001\u5225\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u63a1\u7528\u3057\u307e\u3057\u305f\u3002<\/p>\n<p data-start=\"402\" data-end=\"646\">\u5177\u4f53\u7684\u306b\u306f\u3001RNet\u3068\u547c\u3070\u308c\u308b\u8ffd\u52a0\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u5c0e\u5165\u3057\u3001\u4e3b\u3068\u306a\u308bPINN\u306e\u5b66\u7fd2\u306b\u5148\u7acb\u3063\u3066RNet\u3092\u4e8b\u524d\u306b\u5b66\u7fd2\u3055\u305b\u307e\u3057\u305f\u3002RNet\u306e\u5f79\u5272\u306f\u3001\u7a7a\u9593\u5185\u306e\u4efb\u610f\u306e\u70b9\u306b\u304a\u3051\u308b\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u306e\u5024\u3092\u63a8\u5b9a\uff08\u88dc\u9593\uff09\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3092\u5225\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u8fd1\u4f3c\u3057\u3066\u56fa\u5b9a\u3059\u308b\u3053\u3068\u3067\u3001PINN\u5074\u306f\u300c\u901f\u5ea6\u30fb\u5727\u529b\u300d\u306b\u96c6\u4e2d\u3067\u304d\u3001\u540c\u6642\u6700\u9069\u5316\u306e\u96e3\u3057\u3055\uff08\u4e0d\u5b89\u5b9a\u3055\uff09\u3092\u907f\u3051\u3089\u308c\u3001\u4e71\u6d41\u306e\u5f71\u97ff\u3092\u9593\u63a5\u7684\u306b\u53d6\u308a\u8fbc\u3080\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>Physics-Informed Neural Networks\uff08PINN\uff09<\/h2>\n<p>\u672c\u7a3f\u3067\u306f\u3001Physics-Informed Neural Networks\uff08PINN\uff09\u3092\u7528\u3044\u305f\u5b9f\u9a13\u3092\u884c\u3044\u307e\u3057\u305f\u3002<br \/>\nPINN\u306f\u3001\u7269\u7406\u6cd5\u5247\u3092\u8868\u3059\u65b9\u7a0b\u5f0f\u3092\u5b66\u7fd2\u904e\u7a0b\u306b\u76f4\u63a5\u53d6\u308a\u5165\u308c\u308b\u3053\u3068\u3092\u7279\u5fb4\u3068\u3059\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u7269\u7406\u65b9\u7a0b\u5f0f\u306e\u307f\u306b\u57fa\u3065\u3044\u3066PINN\u3092\u5b89\u5b9a\u3057\u3066\u5b66\u7fd2\u3055\u305b\u308b\u3053\u3068\u306f\u3001\u5b9f\u969b\u306b\u306f\u5bb9\u6613\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<br \/>\n\u305d\u306e\u305f\u3081\u3001PINN\u306e\u5b66\u7fd2\u306b\u304a\u3044\u3066\u306f\u3001\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u30a2\u30d7\u30ed\u30fc\u30c1\u3068\u3057\u3066\u3001<br \/>\nCFD\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u5f97\u3089\u308c\u305f\u30c7\u30fc\u30bf\u3092\u4f75\u7528\u3059\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002<\/p>\n<p>\u305d\u306e\u7d50\u679c\u3001PINN\u30e2\u30c7\u30eb\u306f\u5b66\u7fd2\u306e\u904e\u7a0b\u306b\u304a\u3044\u3066\u3001\u6b21\u306e2\u3064\u306e\u91cd\u8981\u306a\u70b9\u3092\u540c\u6642\u306b\u8003\u616e\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u4e88\u6e2c\u3055\u308c\u305f\u901f\u5ea6\u5834\u304a\u3088\u3073\u5727\u529b\u5834\u304c\u3001\u4e0e\u3048\u3089\u308c\u305f\u30c7\u30fc\u30bf\u3068\u3069\u306e\u7a0b\u5ea6\u4e00\u81f4\u3057\u3066\u3044\u308b\u304b<\/li>\n<li>\u7a7a\u6c17\u306e\u6d41\u308c\u3092\u8a18\u8ff0\u3059\u308b\u7269\u7406\u65b9\u7a0b\u5f0f\uff08<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%83%AC%E3%82%A4%E3%83%8E%E3%83%AB%E3%82%BA%E5%B9%B3%E5%9D%87%E3%83%8A%E3%83%93%E3%82%A8-%E3%82%B9%E3%83%88%E3%83%BC%E3%82%AF%E3%82%B9%E6%96%B9%E7%A8%8B%E5%BC%8F\">Navier\u2013Stokes \u65b9\u7a0b\u5f0f\uff0fRANS<\/a>\u65b9\u7a0b\u5f0f\uff09\u3092<br \/>\n\u3069\u306e\u7a0b\u5ea6\u6e80\u305f\u3057\u3066\u3044\u308b\u304b<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306a\u624b\u6cd5\u306b\u3088\u308a\u3001\u6b21\u306e\u3088\u3046\u306a\u5229\u70b9\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u5b66\u7fd2\u306b\u5fc5\u8981\u306a\u30c7\u30fc\u30bf\u70b9\u6570\u3092\u6291\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b<\/li>\n<li>\u89e3\u306e\u6c4e\u5316\u6027\u80fd\u3092\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u308b<\/li>\n<\/ul>\n<p>PINN\u306e\u5b66\u7fd2\u306f\u3001Adam\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7528\u3044\u3066100,000\u56de\u306e\u30a4\u30c6\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u5b9f\u65bd\u3057\u307e\u3057\u305f\u3002<\/p>\n<h3>PINN\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3<\/h3>\n<p>PINN\u30e2\u30c7\u30eb\u306f\u3001\u5165\u529b\u3068\u3057\u3066\u4e09\u6b21\u5143\u306e\u7a7a\u9593\u5ea7\u6a19(x, y, z)\u3092\u53d7\u3051\u53d6\u308a\u3001\u7a7a\u6c17\u306e\u6d41\u308c\u306b\u95a2\u9023\u3059\u308b4\u3064\u306e\u7269\u7406\u91cf\u3092\u51fa\u529b\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306e3\u3064\u306e\u6210\u5206\uff08u, v, w\uff09<\/li>\n<li>\u5727\u529b\uff08p\uff09<\/li>\n<\/ul>\n<p>\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3\u306f\u3001\u4ee5\u4e0b\u306e\u8981\u7d20\u304b\u3089\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>6\u5c64\u306e\u5168\u7d50\u5408\u578b\u96a0\u308c\u5c64<\/li>\n<li>\u5404\u5c64\u306b64\u500b\u306e\u30cb\u30e5\u30fc\u30ed\u30f3<\/li>\n<li>\u6d3b\u6027\u5316\u95a2\u6570\u3068\u3057\u3066Tanh\u3092\u4f7f\u7528<\/li>\n<\/ul>\n<h2>RNet<\/h2>\n<p>RNet\u306e\u5f79\u5272\u306f\u3001\u7a7a\u9593\u5185\u306e\u4f4d\u7f6e\u306b\u57fa\u3065\u3044\u3066\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3092\u4e88\u6e2c\u3059\u308b\u3053\u3068\u3067\u3059\u3002<br \/>\nRNet\u306f\u3001\u4ee5\u4e0b\u306e\u7279\u5fb4\u3092\u6301\u3064\u901a\u5e38\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u3057\u3066\u5b66\u7fd2\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li>\u7269\u7406\u65b9\u7a0b\u5f0f\u3092\u76f4\u63a5\u8ab2\u3055\u305a\u3001<\/li>\n<li>\u30c7\u30fc\u30bf\u306e\u307f\u306b\u57fa\u3065\u3044\u3066\u5b66\u7fd2<\/li>\n<\/ul>\n<p>RNet\u306e\u5b66\u7fd2\u306b\u306f\u3001\u6b21\u306e2\u3064\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u7528\u3044\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li>\u5168\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u7528\u3044\u305f\u5b66\u7fd2<br \/>\n\uff08\u3053\u306e\u5834\u5408\u3001WindsorML\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u629e\u3057\u305f<strong>2,000,000\u70b9<\/strong>\u3092\u4f7f\u7528\u3002\u8a73\u7d30\u306f\u5f8c\u8ff0\uff09<\/li>\n<li>\u5b66\u7fd2\u7528\u30c7\u30fc\u30bf\u306e\u307f\u3092\u7528\u3044\u305f\u5b66\u7fd2<br \/>\n\uff08<strong>50,000\u70b9<\/strong>\u306e\u5b66\u7fd2\u30c7\u30fc\u30bf\u3092\u4f7f\u7528\uff09<\/li>\n<\/ul>\n<p>RNet\u3092\u5168\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u5b66\u7fd2\u3055\u305b\u308b\u3053\u3068\u306f\u3001\u672c\u7a3f\u306e\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9\u3067\u3042\u308b\u300c\u5c11\u91cf\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u305f\u5b66\u7fd2\u300d\u3068\u3044\u3046\u65b9\u91dd\u3068\u5b8c\u5168\u306b\u306f\u4e00\u81f4\u3057\u3066\u3044\u307e\u305b\u3093\u3002<br \/>\n\u305d\u308c\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u3053\u306e\u5b66\u7fd2\u3092\u884c\u3063\u305f\u306e\u306f\u3001\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3092\u53ef\u80fd\u306a\u9650\u308a\u6b63\u78ba\u306b\u4e88\u6e2c\u3067\u304d\u308b\u57fa\u6e96\uff08\u30d9\u30fc\u30b9\u30e9\u30a4\u30f3\uff09\u3092\u5f97\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u57fa\u6e96\u3068\u6bd4\u8f03\u3059\u308b\u3053\u3068\u3067\u3001RNet\u3092\u5b66\u7fd2\u7528\u30c7\u30fc\u30bf\u306e\u307f\u306b\u57fa\u3065\u3044\u3066\u5b66\u7fd2\u3055\u305b\u305f\u5834\u5408\u3068\u306e\u9055\u3044\u3092\u660e\u78ba\u306b\u8a55\u4fa1\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>RNet\u306e\u5b66\u7fd2\u306b\u306f\u3001Adam\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/p>\n<h3>RNet\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3<\/h3>\n<p>RNet\u306f \u5168\u7d50\u5408\u578b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u3042\u308a\u3001\u5165\u529b\u3068\u3057\u3066\u7a7a\u9593\u5ea7\u6a19 (x, y, z) \u3092\u53d7\u3051\u53d6\u308a\u30016\u6210\u5206\u306e\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3092\u51fa\u529b\u3057\u307e\u3059\u3002<\/p>\n<p>RNet\u306e\u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3\u306f\u3001\u4ee5\u4e0b\u306e\u69cb\u6210\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>4\u5c64\u306e\u96a0\u308c\u5c64<\/li>\n<li>\u5404\u5c64\u306b128\u500b\u306e\u30cb\u30e5\u30fc\u30ed\u30f3<\/li>\n<li>\u6d3b\u6027\u5316\u95a2\u6570\u3068\u3057\u3066Tanh\u3092\u4f7f\u7528<\/li>\n<\/ul>\n<h2>\u30c7\u30fc\u30bf<\/h2>\n<h3>\u306a\u305cWindsorML\u306a\u306e\u304b\uff1f<\/h3>\n<p>WindsorML\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306f\u3001\u4ee5\u4e0b\u306e\u7406\u7531\u304b\u3089\u7279\u306b\u8208\u5473\u6df1\u3044\u3082\u306e\u3067\u3059\u3002<\/p>\n<ul>\n<li>\u81ea\u52d5\u8eca\u306e\u73fe\u5b9f\u7684\u306a\u7a7a\u529b\u7279\u6027\u3092\u8a73\u7d30\u306b\u8a18\u8ff0\u3057\u3066\u3044\u308b<\/li>\n<li>CFD\u3068AI\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u624b\u6cd5\u306e\u691c\u8a3c\u306b\u975e\u5e38\u306b\u9069\u3057\u3066\u3044\u308b<\/li>\n<\/ul>\n<h3>\u30c7\u30fc\u30bf\u306e\u5185\u5bb9<\/h3>\n<p>WindsorML\u30c7\u30fc\u30bf\u306b\u306f\u3001\u4e3b\u306b\u4ee5\u4e0b\u306e\u60c5\u5831\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u4e09\u6b21\u5143\u306e\u901f\u5ea6\u5834<\/li>\n<li>\u5727\u529b\u5206\u5e03<\/li>\n<li>\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b<\/li>\n<li>\u8eca\u4e21\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u3092\u542b\u3080\u8a08\u7b97\u9818\u57df\u5168\u4f53<\/li>\n<\/ul>\n<h3>\u5b66\u7fd2\u7528\u30fb\u30c6\u30b9\u30c8\u7528\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<\/h3>\n<p>WindsorML\u306e\u5143\u30c7\u30fc\u30bf\u306f\u3001\u81ea\u52d5\u8eca\u5468\u308a\u306e\u8a08\u7b97\u9818\u57df\u306b\u304a\u3044\u3066\u7d042\u5104\u70b9\u306e\u60c5\u5831\u3092\u542b\u3093\u3067\u304a\u308a\u3001\u975e\u5e38\u306b\u5927\u304d\u306a\u30e1\u30e2\u30ea\u8ca0\u8377\u3092\u4f34\u3044\u307e\u3059\u3002<\/p>\n<p>\u672c\u7a3f\u3067\u306f\u3001\u5b9f\u9a13\u3092\u884c\u3046\u305f\u3081\u306b200\u4e07\u70b9\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u62bd\u51fa\u3057\u3001\u305d\u308c\u3089\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5206\u5272\u3057\u307e\u3057\u305f\uff08\u56f31\uff09\u3002<\/p>\n<ul>\n<li><strong>\u5b66\u7fd2\u7528\u30c7\u30fc\u30bf<\/strong>\uff1a50,000\u70b9<\/li>\n<li><strong>\u30c6\u30b9\u30c8\u7528\u30c7\u30fc\u30bf<\/strong>\uff1a1,900,000\u70b9<\/li>\n<li><strong>\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9<\/strong>\uff1a50,000\u70b9<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-21386\" src=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys2.jpg\" alt=\"\" width=\"564\" height=\"556\" srcset=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys2.jpg 564w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys2-300x296.jpg 300w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys2-217x214.jpg 217w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys2-264x260.jpg 264w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><br \/>\n\u56f31\uff0e\u30e2\u30c7\u30eb\u306e\u5b66\u7fd2\u304a\u3088\u3073\u30c6\u30b9\u30c8\u306b\u7528\u3044\u3089\u308c\u308bCFD\u30c7\u30fc\u30bf\u306e\u53ef\u8996\u5316\u3002\u5404\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u53ef\u8996\u5316\u7d50\u679c\u306f\u30013 \u3064\u306e\u5e7e\u4f55\u5b66\u7684\u65ad\u9762\u3001\u3059\u306a\u308f\u3061YZ\u9762\uff08X=0\uff09\u3001XZ\u9762\uff08Y=0.1\uff09\u3001\u304a\u3088\u3073XY\u9762\uff08Z=0\uff09\u306b\u304a\u3044\u3066\u793a\u3055\u308c\u3066\u3044\u308b\u3002X \u65b9\u5411\u306e\u5bf8\u6cd5\u304c\u4ed6\u306e\u65b9\u5411\u3088\u308a\u3082\u5927\u304d\u3044\u305f\u3081\u3001YZ \u65ad\u9762\u306f\u62e1\u5927\u3057\u3066\u8868\u793a\u3057\u3066\u3044\u308b\u3002\u5404\u65ad\u9762\u306b\u898b\u3089\u308c\u308b\u767d\u3044\u9818\u57df\u306f\u3001\u81ea\u52d5\u8eca\u306e\u5f62\u72b6\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u30c7\u30fc\u30bf\u306fWindsorML\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\uff08Ashton et al., 2024\uff09\u304b\u3089\u76f4\u63a5\u53d6\u5f97\u3055\u308c\u305f\u3082\u306e\u3067\u3042\u308a\uff0c\u30e9\u30a4\u30bb\u30f3\u30b9\u306fCC BY-SA 4.0\u3067\u3059\u3002<\/p>\n<h3>\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u3068\u306f\uff1f<\/h3>\n<p>\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u306f\u3001\u6d41\u308c\u3092\u8a18\u8ff0\u3059\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f\u304b\u3089\u76f4\u63a5\u751f\u3058\u308b\u8aa4\u5dee\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u307e\u3059\u3002<br \/>\n\u5b66\u7fd2\u4e2d\u306f\u3001\u3053\u308c\u3089\u306e\u70b9\u306b\u3064\u3044\u3066\u7a7a\u9593\u5ea7\u6a19\uff08x, y, z\uff09\u306e\u307f\u3092\u4f7f\u7528\u3057\u3001\u901f\u5ea6\u30fb\u5727\u529b\u30fb\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3068\u3044\u3063\u305f\u7269\u7406\u91cf\u306f\u30c7\u30fc\u30bf\u30d9\u30fc\u30b9\u304b\u3089\u53d6\u5f97\u3057\u307e\u305b\u3093\u3002<\/p>\n<p>\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u306e\u9078\u629e\u306b\u306f\u3001\u6b21\u306e2\u3064\u306e\u65b9\u6cd5\u3092\u63a1\u7528\u3057\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li><strong>fixed<\/strong>\uff1a\u5b66\u7fd2\u958b\u59cb\u524d\u306b50,000\u70b9\u3092\u9078\u629e\u3057\u3001\u5b66\u7fd2\u4e2d\u306f\u5909\u66f4\u3057\u306a\u3044\u65b9\u6cd5<\/li>\n<li><strong>random<\/strong>\uff1a\u5404\u30a8\u30dd\u30c3\u30af\u3054\u3068\u306b\u3001\u8a08\u7b97\u9818\u57df\u5168\u4f53\u304b\u308950,000\u70b9\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u629e\u3059\u308b\u65b9\u6cd5<\/li>\n<\/ul>\n<p>\u30e9\u30f3\u30c0\u30e0\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306f\u3001PINN\u30e2\u30c7\u30eb\u306e\u6c4e\u5316\u6027\u80fd\u3092\u5411\u4e0a\u3055\u305b\u3001\u6d41\u308c\u5834\u3092\u3088\u308a\u6b63\u78ba\u306b\u518d\u73fe\u3059\u308b\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u307e\u3059\u3002<\/p>\n<h3>\u5b66\u7fd2\u30c7\u30fc\u30bf\u306e\u524d\u51e6\u7406<\/h3>\n<p>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u4f7f\u7528\u3057\u305f\u3059\u3079\u3066\u306e\u7269\u7406\u91cf\uff08\u4f4d\u7f6e\u3001\u901f\u5ea6\u3001\u5727\u529b\u3001\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\uff09\u306f\u3001<strong>\u7121\u6b21\u5143\u5316<\/strong>\u3057\u3066\u6271\u3044\u307e\u3057\u305f\u3002<br \/>\n\u7121\u6b21\u5143\u5316\u306e\u65b9\u6cd5\u306b\u3064\u3044\u3066\u306f\u3001\u904e\u53bb\u306e<a href=\"https:\/\/www.ecomottblog.com\/?p=16947\">\u30d6\u30ed\u30b0<\/a>\u8a18\u4e8b\u3067\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u306e\u3067\u8a73\u3057\u304f\u306f\u305d\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001\u4e00\u90e8\u306e\u8a08\u7b97\u3067\u306f\u3001\u7a7a\u9593\u5ea7\u6a19\u3092<strong>[-1, 1]\u306e\u7bc4\u56f2\u306b\u6b63\u898f\u5316<\/strong>\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306b\u304a\u3051\u308b\u52fe\u914d\u6d88\u5931\u554f\u984c\u3092\u7de9\u548c\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>\u7d50\u679c<\/h2>\n<p>\u88681\uff0eRMSE\u8aa4\u5dee\u306e\u5024\u306b\u57fa\u3065\u304f\u3001\u7570\u306a\u308bPINN\u30e2\u30c7\u30eb\u306e\u7cbe\u5ea6\u6bd4\u8f03\u3002\u30e2\u30c7\u30eb\u540d\u306e\u8868\u8a18\u898f\u5247\uff1aR200\/R5\u306fRNet\u306e\u5b66\u7fd2\u70b9\u6570\uff08200\u4e07\u70b9\uff0f5\u4e07\u70b9\uff09\u3001f\/r\u306f\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u306e\u9078\u629e\u65b9\u6cd5\uff08fixed\uff0frandom\uff09\u3001y\/n\u306f\u5ea7\u6a19\u6b63\u898f\u5316\u306e\u6709\u7121\uff08yes\uff0fno\uff09\u3092\u8868\u3057\u307e\u3059\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-21393\" src=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/table1.jpg\" alt=\"\" width=\"882\" height=\"296\" srcset=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/table1.jpg 882w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/table1-300x101.jpg 300w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/table1-768x258.jpg 768w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/table1-304x102.jpg 304w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/table1-282x95.jpg 282w\" sizes=\"(max-width: 882px) 100vw, 882px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>\u4eca\u56de\u5f97\u3089\u308c\u305f\u3001\u7570\u306a\u308bPINN\u30e2\u30c7\u30eb\u306e\u8a08\u7b97\u7d50\u679c\u3092\u88681\u304a\u3088\u3073\u56f32\u3001\u56f33\u306b\u793a\u3057\u307e\u3059\u3002\u88681\u306eRMSE\u304b\u3089\u3001\u6700\u826f\u3060\u3063\u305f\u306e\u306fR200_f_n\u3067\u3042\u308a\u3001RNet\u7cbe\u5ea6\uff08\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u63a8\u5b9a\u306e\u8cea\uff09\u304cPINN\u6027\u80fd\u306b\u5f37\u304f\u5f71\u97ff\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001\u5ea7\u6a19\u6b63\u898f\u5316\u3084\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u306e\u9078\u3073\u65b9\u306e\u52b9\u679c\u306f\u6761\u4ef6\u4f9d\u5b58\u3067\u3057\u305f\u3002<\/p>\n<p>\u56f32\u306f\u3001\u81ea\u52d5\u8eca\u5468\u308a\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u306b\u5bfe\u3057\u3066\u9078\u629e\u3057\u305f\u3044\u304f\u3064\u304b\u306e\u65ad\u9762\u306b\u304a\u3051\u308b\u901f\u5ea6\u5834\u304a\u3088\u3073\u5727\u529b\u5834\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u56f31\u306b\u793a\u3057\u305f\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3068\u306e\u6bd4\u8f03\u304b\u3089\u3001PINN\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u306f\u53c2\u7167\u30c7\u30fc\u30bf\u3068\u826f\u597d\u306a\u5b9a\u6027\u7684\u4e00\u81f4\u3092\u793a\u3057\u3066\u304a\u308a\u3001PINN\u30e2\u30c7\u30eb\u304c\u6d41\u308c\u5834\u69cb\u9020\u306e\u4e3b\u8981\u306a\u7279\u5fb4\u3092\u9069\u5207\u306b\u518d\u73fe\u3067\u304d\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u308b\u3002<\/p>\n<p>\u56f33\u3067\u306f\u3001PINN\u306b\u3088\u308b\u8a08\u7b97\u7d50\u679c\u3068\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3068\u306e\u6bd4\u8f03\u3092\u884c\u3044\u307e\u3057\u305f\u3002\u6bd4\u8f03\u306f\u3001X=0\u3001Z=0\u3067\u5b9a\u7fa9\u3055\u308c\u308b<strong>\u6e2c\u5b9a\u7dda<\/strong>\u306b\u6cbf\u3063\u3066\u884c\u3044\u3001Y\u5ea7\u6a19\u306e\u307f\u3092\u5909\u5316\u3055\u305b\u3066\u3044\u307e\u3059\u3002<br \/>\n\u3053\u306e\u6e2c\u5b9a\u7dda\u4e0a\u306e\u70b9\u306f\u7b49\u9593\u9694\u306b\u914d\u7f6e\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u3001Y\u5ea7\u6a19\u306e\u7279\u5b9a\u306e\u7bc4\u56f2\u3067\u306f\u70b9\u306e\u9593\u9694\u304c\u5927\u304d\u304f\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u305d\u306e\u9818\u57df\u306b\u81ea\u52d5\u8eca\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u304c\u5b58\u5728\u3057\u3001\u8a08\u7b97\u70b9\u304c\u5b58\u5728\u3057\u306a\u3044\u305f\u3081\u3067\u3059\u3002<br \/>\n\u3053\u306e\u56f3\u304b\u3089\u3001PINN\u30e2\u30c7\u30eb\u306f\u6d41\u308c\u304c\u6700\u3082\u8907\u96d1\u3068\u306a\u308b\u8eca\u4f53\u8fd1\u508d\u306b\u304a\u3044\u3066\u3001\u901f\u5ea6\u304a\u3088\u3073\u5727\u529b\u306e\u5206\u5e03\u3092\u975e\u5e38\u306b\u9ad8\u3044\u7cbe\u5ea6\u3067\u518d\u73fe\u3059\u308b\u3053\u3068\u304c\u96e3\u3057\u3044\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-21390\" src=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3-1024x440.jpg\" alt=\"\" width=\"1024\" height=\"440\" srcset=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3-1024x440.jpg 1024w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3-300x129.jpg 300w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3-768x330.jpg 768w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3-304x131.jpg 304w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3-282x121.jpg 282w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys3.jpg 1271w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><br \/>\n\u56f32\uff0eWindsorML\uff08Ashton et al., 2024\uff09\u3092\u7528\u3044\u3066\u5b66\u7fd2\u3057\u305fPhysics-Informed Neural Network\uff08PINN\uff09\u306b\u3088\u308b\uff0c\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u70b9\u306b\u5bfe\u3059\u308b\u4e88\u6e2c\u7d50\u679c\u3002\u5404\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u306f\u30013\u3064\u306e\u5e7e\u4f55\u5b66\u7684\u65ad\u9762\u3067\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002YZ \u9762\uff08X=0\uff09\u3001XZ\u9762\uff08Y=0.1\uff09\u3001\u304a\u3088\u3073XY\u9762\uff08Z=0\uff09\u3067\u3059\u3002X\u65b9\u5411\u306e\u5bf8\u6cd5\u304c\u4ed6\u306e\u65b9\u5411\u3088\u308a\u3082\u5927\u304d\u3044\u305f\u3081\u3001YZ\u65ad\u9762\u306f\u62e1\u5927\u8868\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u5404\u65ad\u9762\u306b\u898b\u3089\u308c\u308b\u767d\u3044\u9818\u57df\u306f\u3001\u81ea\u52d5\u8eca\u306e\u5f62\u72b6\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-21392\" src=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4-1024x441.jpg\" alt=\"\" width=\"1024\" height=\"441\" srcset=\"https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4-1024x441.jpg 1024w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4-300x129.jpg 300w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4-768x331.jpg 768w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4-304x131.jpg 304w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4-282x121.jpg 282w, https:\/\/www.ecomottblog.com\/wp-content\/uploads\/2026\/01\/rys4.jpg 1271w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><br \/>\n\u56f33\u3000\u6e2c\u5b9a\u7dda\uff08X=0\u3001Z=0\uff09\u306b\u304a\u3051\u308bPINN\u306e\u8a08\u7b97\u7d50\u679c\u3068\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306e\u6bd4\u8f03\u3002\u901f\u5ea6\u306b\u3064\u3044\u3066\u306f\u3001\u5ea7\u6a19\u7cfb\uff08x, y, z\uff09\u306b\u5bfe\u5fdc\u3059\u308b 3 \u3064\u306e\u901f\u5ea6\u6210\u5206\uff08u, v, w\uff09\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3053\u306e\u30b0\u30e9\u30d5\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306b\u306f\u3001\u771f\u306e\u5727\u529b\uff08True Pressure\uff09\u304a\u3088\u3073 \u771f\u306e\u901f\u5ea6\u6210\u5206\uff08True u\u3001True v\u3001True w\uff09 \u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u306fWindsorML\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\uff08Ashton et al., 2024\uff09\u304b\u3089\u76f4\u63a5\u53d6\u5f97\u3055\u308c\u305f\u3082\u306e\u3067\u3042\u308a, \u30e9\u30a4\u30bb\u30f3\u30b9\u306fCC BY-SA 4.0\u3067\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u7528\u3044\u308b\u30e2\u30c7\u30eb\u540d\u306e\u8868\u8a18\u306f\u3001R200\/R5\uff1dRNet\u5b66\u7fd2\u70b9\u6570\uff08200\u4e07\/5\u4e07\uff09\u3001f\/r\uff1d\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\uff08fixed\/random\uff09\u3001y\/n\uff1d\u5ea7\u6a19\u6b63\u898f\u5316\uff08yes\/no\uff09\u3092\u8868\u3057\u307e\u3059\u3002\u88681\u306b\u306f\u3001PINN\u30e2\u30c7\u30eb\u306e\u8a08\u7b97\u7d50\u679c\u3068\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3068\u306e\u5dee\u3092\u8868\u3059RMSE\u8aa4\u5dee\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002RMSE\u306f\u3001\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u5168\u4f53\u3092\u7528\u3044\u305f\u5834\u5408\u3068\u3001\u6e2c\u5b9a\u7dda\u4e0a\u306e\u70b9\u306e\u307f\u3092\u7528\u3044\u305f\u5834\u5408\u306e2\u901a\u308a\u3067\u7b97\u51fa\u3057\u307e\u3057\u305f\u3002<br \/>\nRMSE\u306e\u5024\u304b\u3089\u3001\u6700\u3082\u826f\u597d\u306a\u7d50\u679c\u3092\u793a\u3057\u305f\u306e\u306fR200_f_n\u30d0\u30fc\u30b8\u30e7\u30f3\u306ePINN\u30e2\u30c7\u30eb\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f\u30012,000,000\u70b9\u3092\u7528\u3044\u3066\u5b66\u7fd2\u3057\u305fRNet\u3092\u4f7f\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5b66\u7fd2\u30c7\u30fc\u30bf\u6570\u304c\u591a\u3044\u307b\u3069\u3001\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u3092\u3088\u308a\u6b63\u78ba\u306b\u63a8\u5b9a\u3067\u304d\u308b\u305f\u3081\u3067\u3042\u308a\u3001\u4e88\u60f3\u3068\u4e00\u81f4\u3059\u308b\u7d50\u679c\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001RNet\u306b\u3088\u308b\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u306e\u3088\u308a\u9ad8\u7cbe\u5ea6\u306a\u8fd1\u4f3c\u306f\u3001PINN\u30e2\u30c7\u30eb\u306e\u6027\u80fd\u5411\u4e0a\u306b\u3064\u306a\u304c\u308b\u3068\u3044\u3048\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u826f\u597d\u306a\u7d50\u679c\u3092\u793a\u3057\u305f\u306e\u306f\u3001R5_f_y\u30d0\u30fc\u30b8\u30e7\u30f3\u306e\u30e2\u30c7\u30eb\u3067\u3059\u3002\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f\u3001\u7a7a\u9593\u5ea7\u6a19\uff08x, y, z\uff09\u306e\u6b63\u898f\u5316\u3092\u884c\u3044\u3001RNet\u306f \u5b66\u7fd2\u7528\u30c7\u30fc\u30bf\u306e\u307f\uff0850,000\u70b9\uff09\u3092\u7528\u3044\u3066\u5b66\u7fd2\u3055\u308c\u3066\u3044\u307e\u3059\u3002<br \/>\n\u3053\u308c\u3089 2 \u3064\u306e\u30e2\u30c7\u30eb(R200_f_n\u3068R5_f_y)\u3067\u306f\u3001\u4ed6\u306e\u30e2\u30c7\u30eb\u3068\u6bd4\u8f03\u3057\u3066\u3001\u8eca\u4f53\u8fd1\u508d\u306b\u304a\u3051\u308b\u5727\u529b\u5206\u5e03\u306e\u518d\u73fe\u6027\u304c\u5411\u4e0a\u3057\u3066\u3044\u308b\u3053\u3068\u3082\u78ba\u8a8d\u3067\u304d\u307e\u3059\uff08\u56f33\uff09\u3002<\/p>\n<p>\u672c\u7a3f\u3067\u63d0\u793a\u3055\u308c\u305f\u7d50\u679c (\u88681\u306a\u3069) \u3067\u306f\u3001\u7a7a\u9593\u5ea7\u6a19\u3092\u6b63\u898f\u5316\u3057\u3001\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u629e\u3059\u308b\u3053\u3068\u304cPINN\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30fb\u30d7\u30ed\u30bb\u30b9\u3067\u5e38\u306b\u6709\u5229\u306b\u306a\u308b\u3068\u306f\u8a00\u3048\u307e\u305b\u3093\u3067\u3057\u305f\u3002<br \/>\n\u7a7a\u9593\u5ea7\u6a19\u306e\u6b63\u898f\u5316\u3092\u884c\u3063\u305f\u5834\u5408\u306b\u306f\u3001\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u3092\u56fa\u5b9a\uff08fixed\uff09\u3057\u3066\u9078\u629e\u3057\u305fR5_f_y \u30e2\u30c7\u30eb\u304c\u3001\u3088\u308a\u826f\u3044\u7d50\u679c\u3092\u793a\u3057\u307e\u3057\u305f\u3002<br \/>\n\u4e00\u65b9\u3001\u7a7a\u9593\u5ea7\u6a19\u306e\u6b63\u898f\u5316\u3092\u884c\u308f\u306a\u3044\u5834\u5408\u306b\u306f\u3001\u30b3\u30ed\u30b1\u30fc\u30b7\u30e7\u30f3\u70b9\u3092\u30e9\u30f3\u30c0\u30e0\uff08random\uff09\u306b\u9078\u629e\u3057\u305f R5_r_n\u30e2\u30c7\u30eb\u306b\u304a\u3044\u3066\u3001\u8eca\u4f53\u8fd1\u508d\u306e\u5727\u529b\u5206\u5e03\u304c\u3088\u308a\u826f\u304f\u518d\u73fe\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n<h2>\u307e\u3068\u3081\uff08\u7d50\u8ad6\uff09<\/h2>\n<p>\u672c\u7a3f\u3067\u793a\u3057\u305f\u7d50\u679c\u304b\u3089\u3001\u6bd4\u8f03\u7684\u30b7\u30f3\u30d7\u30eb\u306a PINN\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u69cb\u9020\u3067\u3001\u7a7a\u6c17\u6d41\u308c\u306e\u4e3b\u8981\u306a\u7279\u5fb4\u3092\u518d\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u9650\u3089\u308c\u305f\u5b66\u7fd2\u30c7\u30fc\u30bf\u3092\u7528\u3044\u305f\u5834\u5408\u3067\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u3001\u81ea\u52d5\u8eca\u8868\u9762\u8fd1\u508d\u306e\u9818\u57df\u306f\u3001\u8eca\u4e21\u5f62\u72b6\u306e\u8a2d\u8a08\u306a\u3069\u306b\u304a\u3044\u3066\u7279\u306b\u91cd\u8981\u3067\u3042\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u9ad8\u7cbe\u5ea6\u306a\u518d\u73fe\u304c\u96e3\u3057\u3044\u9818\u57df\u3067\u3042\u308b\u3053\u3068\u3082\u660e\u3089\u304b\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>\u7d50\u679c\u3092\u6539\u5584\u3059\u308b\u305f\u3081\u306e\u6700\u3082\u5358\u7d14\u306a\u65b9\u6cd5\u306e\u4e00\u3064\u3068\u3057\u3066\u3001\u8eca\u4f53\u8868\u9762\u8fd1\u508d\u304b\u3089\u53d6\u5f97\u3057\u305f\u3001\u901f\u5ea6\u30fb\u5727\u529b\u30fb\u30ec\u30a4\u30ce\u30eb\u30ba\u5fdc\u529b\u306e\u60c5\u5831\u3092\u542b\u3080\u5b66\u7fd2\u70b9\u3092\u5897\u3084\u3057\u3066PINN\u3092\u5b66\u7fd2\u3055\u305b\u308b\u3053\u3068\u304c\u6709\u52b9\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<h2>\u30c7\u30fc\u30bf\u306e\u51fa\u5178\uff1a<\/h2>\n<p>\u672c\u7a3f\u3067\u4f7f\u7528\u3057\u305fWindsorML\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3064\u3044\u3066\u306f\u4ee5\u4e0b\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>Ashton, N., Angel, J. B., Ghate, A. S., Kenway, G. K. W.,<br \/>\nLong Wong, M., Kiris, C., Walle, A., Maddix, D. C., Page, G. (2024):<br \/>\n<em>WindsorML: High-Fidelity Computational Fluid Dynamics Dataset for Automotive Aerodynamics<\/em><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2407.19320\">https:\/\/arxiv.org\/abs\/2407.19320<\/a><\/p>\n<p>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u516c\u958b\u30da\u30fc\u30b8\uff1a<br \/>\n<a href=\"https:\/\/huggingface.co\/datasets\/neashton\/windsorml\">https:\/\/huggingface.co\/datasets\/neashton\/windsorml<\/a><\/p>\n<p>\u30e9\u30a4\u30bb\u30f3\u30b9\uff1a<br \/>\nCreative Commons \u8868\u793a\u2013\u7d99\u627f4.0 \u56fd\u969b\uff08CC BY-SA 4.0\uff09<br \/>\n<a href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3093\u306b\u3061\u306f\uff01AX\u7814\u7a76\u5ba4\u306e\u30ed\u30d9\u30eb\u30c8\u30fb\u30d5\u30d0\u30c1\u3067\u3059\u3002 \u8fd1\u5e74\u3001\u6a5f\u68b0\u5b66\u7fd2\u3092\u6d41\u4f53\u529b\u5b66\u306e\u554f\u984c\u306b\u5fdc\u7528\u3059\u308b\u7814\u7a76\u304c\u6ce8\u76ee\u3092\u96c6\u3081\u3066\u3044\u307e\u3059\u3002 \u305d\u306e\u4e2d\u3067\u3082Physics-Informed Neural Networks\uff08PINN\uff09\u306f\u3001\u30c7\u30fc\u30bf\u306b\u57fa\u3065\u304f [&hellip;]<\/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":[45,392,309,210,65,324,391],"_links":{"self":[{"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts\/21373"}],"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=21373"}],"version-history":[{"count":94,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts\/21373\/revisions"}],"predecessor-version":[{"id":21835,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=\/wp\/v2\/posts\/21373\/revisions\/21835"}],"wp:attachment":[{"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ecomottblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}