{"id":13964,"date":"2025-09-24T13:39:51","date_gmt":"2025-09-24T04:39:51","guid":{"rendered":"https:\/\/blogs.mathworks.com\/japan-community\/?p=13964"},"modified":"2025-09-24T13:39:51","modified_gmt":"2025-09-24T04:39:51","slug":"what-is-physics-informed-machine-learning-jp","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/japan-community\/2025\/09\/24\/what-is-physics-informed-machine-learning-jp\/","title":{"rendered":"\u7269\u7406\u6cd5\u5247\u3092\u7d44\u307f\u8fbc\u3093\u3060\u6a5f\u68b0\u5b66\u7fd2\u3063\u3066\u306a\u306b\uff1f"},"content":{"rendered":"<div class=\"rtcContent\">\n<div style=\"margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: #212121; font-family: Helvetica, Arial, sans-serif, Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left;\">\u203b\u3053\u306e\u6295\u7a3f\u306f 2025 \u5e74 6 \u6708 23 \u65e5\u306b <a href=\"https:\/\/blogs.mathworks.com\/deep-learning\/2025\/06\/23\/what-is-physics-informed-machine-learning\/?from=jp\"> Artificial Intelligence \u3078 \u6295\u7a3f<\/a>\u3055\u308c\u305f\u3082\u306e\u306e\u6284\u8a33\u3067\u3059\u3002<\/div>\n<h6>&#8212;<\/h6>\n<p>Physics-informed machine learning\uff08\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u3001\u7269\u7406\u6cd5\u5247\u3092\u7d44\u307f\u8fbc\u3093\u3060\u6a5f\u68b0\u5b66\u7fd2\uff09\u306f\u3001Scientific Machine Learning\uff08SciML\uff1a\u79d1\u5b66\u7684\u6a5f\u68b0\u5b66\u7fd2\uff09\u306e\u4e00\u5206\u91ce\u3067\u3042\u308a\u3001\u7269\u7406\u6cd5\u5247\u3068<a href=\"https:\/\/www.mathworks.com\/discovery\/machine-learning.html\">\u6a5f\u68b0\u5b66\u7fd2<\/a>\u30fb<a href=\"https:\/\/www.mathworks.com\/discovery\/deep-learning.html\">\u6df1\u5c64\u5b66\u7fd2<\/a>\u3092\u878d\u5408\u3055\u305b\u305f\u3082\u306e\u3067\u3059\u3002\u3053\u306e\u7d71\u5408\u306f\u53cc\u65b9\u5411\u7684\u3067\u3042\u308a\u3001\u4fdd\u5b58\u5247\u3084\u652f\u914d\u65b9\u7a0b\u5f0f\u3001\u305d\u306e\u4ed6\u306e\u5c02\u9580\u77e5\u8b58\u3068\u3044\u3063\u305f\u7269\u7406\u306e\u539f\u7406\u304c AI \u30e2\u30c7\u30eb\u306b\u60c5\u5831\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3001\u7cbe\u5ea6\u3084\u89e3\u91c8\u6027\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001AI \u306f\u652f\u914d\u65b9\u7a0b\u5f0f\u3084\u672a\u77e5\u306e\u30e2\u30c7\u30eb\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u88dc\u5b8c\u30fb\u767a\u898b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u3078\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u3053\u3068\u306b\u3082\u3064\u306a\u304c\u308a\u307e\u3059\u3002<\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u3092\u6d3b\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u5c11\u306a\u3044\u30c7\u30fc\u30bf\u3067\u3088\u308a\u9ad8\u7cbe\u5ea6\u306a\u73fe\u8c61\u4e88\u6e2c\u304c\u53ef\u80fd\u306b\u306a\u3063\u305f\u308a\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u3088\u308a\u52b9\u7387\u7684\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002MATLAB \u3068 Deep Learning Toolbox \u3092\u4f7f\u3048\u3070\u3001\u7269\u7406\u6cd5\u5247\u3092\u6d3b\u7528\u3057\u305f AI \u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3057\u3001\u5de5\u5b66\u3084\u79d1\u5b66\u5206\u91ce\u306b\u304a\u3051\u308b\u5206\u6790\u3084\u610f\u601d\u6c7a\u5b9a\u3092\u5f37\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u30d6\u30ed\u30b0\u3067\u306f\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u6982\u8981\u3068\u3057\u3066\u3001\u3069\u306e\u3088\u3046\u306a\u7528\u9014\u304c\u3042\u308b\u306e\u304b\u3001\u7269\u7406\u77e5\u8b58\u3068\u306f\u4f55\u3092\u610f\u5473\u3057\u3001\u305d\u308c\u304c AI \u306b\u3069\u306e\u3088\u3046\u306b\u60c5\u5831\u3092\u4e0e\u3048\u308b\u306e\u304b\u3001\u305d\u3057\u3066\u3053\u306e\u6280\u8853\u306e\u5229\u70b9\u3084\u6709\u671b\u306a\u5fdc\u7528\u4f8b\u306b\u3064\u3044\u3066\u3054\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<p>\u95a2\u9023\u3059\u308b\u30b3\u30fc\u30c9\u3084\u30b5\u30f3\u30d7\u30eb\u306f\u3001\u300c<a href=\"https:\/\/github.com\/matlab-deep-learning\/SciML-and-Physics-Informed-Machine-Learning-Examples\" class=\"external\" rel=\"nofollow\" target=\"_blank\">SciML and Physics-Informed Machine Learning Examples<\/a>\u300d\u3067\u3054\u89a7\u3044\u305f\u3060\u3051\u307e\u3059\u3002\u4eca\u5f8c\u306e\u6295\u7a3f\u3067\u306f\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306b\u304a\u3051\u308b\u5177\u4f53\u7684\u306a\u6280\u8853\u306b\u3064\u3044\u3066\u3055\u3089\u306b\u8a73\u3057\u304f\u53d6\u308a\u4e0a\u3052\u308b\u4e88\u5b9a\u3067\u3059\u3002<\/p>\n<h6><\/h6>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-17655 \" src=\"https:\/\/blogs.mathworks.com\/deep-learning\/files\/2025\/06\/What_is_PhiML_v2.png\" alt=\"Graphical representation of relationship between first-principles modeling, physics-informed machine learning, and AI techniques, ranging from white box to black box approach\" width=\"683\" height=\"240\" \/><\/p>\n<h6><\/h6>\n<p><strong>Figure:<\/strong> \u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u3001\u7b2c\u4e00\u539f\u7406\u306b\u57fa\u3065\u304f\u30e2\u30c7\u30ea\u30f3\u30b0\uff08\u30db\u30ef\u30a4\u30c8\u30dc\u30c3\u30af\u30b9\uff09\u306e\u5f37\u307f\u3068\u3001\u30c7\u30fc\u30bf\u99c6\u52d5\u578b AI\uff08\u30d6\u30e9\u30c3\u30af\u30dc\u30c3\u30af\u30b9\uff09\u306e\u5f37\u307f\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u3059\u3002<\/p>\n<h6><\/h6>\n<p>&nbsp;<\/p>\n<h6><\/h6>\n<p style=\"font-size: 20px; color: #c04c0b;\"><strong>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u4f55\u306b\u4f7f\u308f\u308c\u308b\u306e\u304b\uff1f<\/strong><\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u591a\u69d8\u6027\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u8eab\u8fd1\u306a\u4f8b\u3068\u3057\u3066\u300c\u632f\u308a\u5b50\u300d\u3092\u4f7f\u3063\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4e0b\u56f3\u306e\u3088\u3046\u306a\u632f\u308a\u5b50\u304c\u63fa\u308c\u3066\u3044\u308b\u69d8\u5b50\u3092\u60f3\u50cf\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-17496 size-full\" src=\"https:\/\/blogs.mathworks.com\/deep-learning\/files\/2025\/06\/SimulateThePhysicsOfAPendulumsPeriodicSwingExample_10.gif\" alt=\"\" width=\"560\" height=\"420\" \/><\/p>\n<p>Figure: \u5358\u632f\u308a\u5b50\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3002\u3053\u306e\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306e\u518d\u73fe\u65b9\u6cd5\u306b\u3064\u3044\u3066\u306f\u3001\u4f8b\u984c\u300c<a href=\"https:\/\/www.mathworks.com\/help\/symbolic\/simulate-physics-pendulum-swing.html\">\u632f\u5b50\u306e\u5468\u671f\u7684\u63fa\u308c\u306e\u52d5\u304d\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/a>\u300d\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u6b21\u306e\u3088\u3046\u306a\u3053\u3068\u3092\u3057\u305f\u3044\u3068\u601d\u3046\u304b\u3082\u3057\u308c\u307e\u305b\u3093\uff1a<\/p>\n<ul>\n<li>\u30c7\u30fc\u30bf\u304b\u3089\u632f\u308a\u5b50\u306e\u5c06\u6765\u306e\u52d5\u304d\u3092\u4e88\u6e2c\u3059\u308b<\/li>\n<li>\u632f\u308a\u5b50\u306e\u904b\u52d5\u3092\u652f\u914d\u3059\u308b\u6839\u672c\u7684\u306a\u65b9\u7a0b\u5f0f\u3092\u767a\u898b\u3059\u308b<\/li>\n<li>\u65e2\u77e5\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u3063\u3066\u632f\u308a\u5b50\u306e\u52d5\u304d\u3092\u8a08\u7b97\u3059\u308b<\/li>\n<\/ul>\n<p>\u3053\u308c\u3089\u306e\u3044\u305a\u308c\u306e\u30b7\u30ca\u30ea\u30aa\u306b\u304a\u3044\u3066\u3082\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u3001\u30c7\u30fc\u30bf\u3068\u7269\u7406\u7684\u77e5\u898b\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u305f\u3081\u306e\u67a0\u7d44\u307f\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u76ee\u7684\u306b\u5bfe\u3057\u3066\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u304c\u3069\u306e\u3088\u3046\u306b\u5fdc\u7528\u3067\u304d\u308b\u304b\u3092\u3054\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<h6><\/h6>\n<h3>\u672a\u77e5\u306e\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306e\u30e2\u30c7\u30ea\u30f3\u30b0<\/h3>\n<p>\u632f\u308a\u5b50\u306e\u89d2\u5ea6\u3068\u89d2\u901f\u5ea6\u3092\u6642\u9593\u306e\u7d4c\u904e\u3068\u3068\u3082\u306b\u6e2c\u5b9a\u3057\u305f\u30c7\u30fc\u30bf\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u632f\u308a\u5b50\u306e\u904b\u52d5\u3092\u652f\u914d\u3059\u308b\u6b63\u78ba\u306a\u65b9\u7a0b\u5f0f\u306f\u4e0d\u660e\u3067\u3042\u308b\u4e00\u65b9\u3067\u3001\u30b7\u30b9\u30c6\u30e0\u5168\u4f53\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u4fdd\u5b58\u3055\u308c\u308b\u3053\u3068\u306f\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306a\u72b6\u6cc1\u3067\u306f\u3001<a href=\"https:\/\/github.com\/matlab-deep-learning\/SciML-and-Physics-Informed-Machine-Learning-Examples\/tree\/main\/hamiltonian-neural-network\" class=\"external\" rel=\"nofollow\" target=\"_blank\">Hamiltonian Neural Networks<\/a>\uff08\u30cf\u30df\u30eb\u30c8\u30f3\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\uff09\u306e\u3088\u3046\u306a\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u624b\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u30c7\u30fc\u30bf\u304b\u3089\u5b66\u7fd2\u3057\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u8003\u616e\u3057\u306a\u304c\u3089\u632f\u308a\u5b50\u306e\u5c06\u6765\u306e\u52d5\u304d\u3092\u4e88\u6e2c\u3059\u308b\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<h6><\/h6>\n<h3>\u65b9\u7a0b\u5f0f\u306e\u767a\u898b<\/h3>\n<p>\u4eca\u5ea6\u306f\u3001\u632f\u308a\u5b50\u306e\u904b\u52d5\u3092\u6642\u9593\u7684\u306b\u8a18\u8ff0\u3059\u308b\u65b9\u7a0b\u5f0f\u3092\u767a\u898b\u3057\u305f\u3044\u3068\u3057\u307e\u3057\u3087\u3046\u3002SINDy\uff08Sparse Identification of Nonlinear Dynamics\uff09\u306e\u3088\u3046\u306a\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u624b\u6cd5\u3092\u4f7f\u3048\u3070\u3001\u30c7\u30fc\u30bf\u304b\u3089\u6839\u672c\u7684\u306a\u6570\u7406\u7684\u95a2\u4fc2\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6a19\u6e96\u7684\u306a\u632f\u308a\u5b50\u306e\u65b9\u7a0b\u5f0f\u306b\u672a\u30e2\u30c7\u30eb\u5316\u306e\u6469\u64e6\u304c\u3042\u308b\u3068\u7591\u308f\u308c\u308b\u5834\u5408\u3001\u3053\u3046\u3057\u305f\u65b9\u7a0b\u5f0f\u767a\u898b\u6280\u8853\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u6469\u64e6\u306e\u529b\u5b66\u30e2\u30c7\u30eb\u3092\u5c0e\u304d\u51fa\u3059\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<h3>\u65e2\u77e5\u306e\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5<\/h3>\n<p>\u652f\u914d\u65b9\u7a0b\u5f0f\u304c\u3059\u3067\u306b\u5206\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306b\u306f\u3001\u5b9f\u9a13\u30c7\u30fc\u30bf\u3068\u7d44\u307f\u5408\u308f\u305b\u3066\u632f\u308a\u5b50\u306e\u89d2\u5ea6\u3092\u6642\u9593\u7684\u306b\u4e88\u6e2c\u3057\u305f\u308a\u3001\u7570\u306a\u308b\u6761\u4ef6\uff08\u305f\u3068\u3048\u3070\u5916\u529b\u3092\u5909\u3048\u308b\u306a\u3069\uff09\u3067\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u305f\u308a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<a href=\"https:\/\/www.mathworks.com\/discovery\/physics-informed-neural-networks.html\">Physics-Informed Neural Networks\uff08PINNs\uff09<\/a>\u306e\u3088\u3046\u306a\u624b\u6cd5\u3067\u306f\u3001\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\uff08ODE\uff09\u3084\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\uff08PDE\uff09\u3068\u3044\u3063\u305f\u652f\u914d\u65b9\u7a0b\u5f0f\u3092\u30c7\u30fc\u30bf\u3068\u7d44\u307f\u5408\u308f\u305b\u3066\u3001\u89b3\u6e2c\u30c7\u30fc\u30bf\u3068\u7269\u7406\u6cd5\u5247\u306e\u4e21\u65b9\u306b\u4e00\u81f4\u3059\u308b\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u7570\u306a\u308b\u5916\u529b\u95a2\u6570\u306b\u5bfe\u5fdc\u3059\u308b\u652f\u914d\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u304c\u3059\u3067\u306b\u3042\u308b\u5834\u5408\u306b\u306f\u3001<a href=\"https:\/\/github.com\/matlab-deep-learning\/SciML-and-Physics-Informed-Machine-Learning-Examples\/tree\/main\/fourier-neural-operator\" class=\"external\" rel=\"nofollow\" target=\"_blank\">Fourier Neural Operator<\/a> \u306e\u3088\u3046\u306a\u30aa\u30da\u30ec\u30fc\u30bf\u5b66\u7fd2\u6280\u8853\u3092\u4f7f\u3063\u3066\u3001\u65b0\u3057\u3044\u5165\u529b\uff08\u4f8b\uff1a\u5916\u529b\u95a2\u6570\uff09\u306b\u5bfe\u3057\u3066\u8fc5\u901f\u306b\u89e3\uff08\u4f8b\uff1a\u632f\u308a\u5b50\u306e\u89d2\u5ea6\uff09\u3092\u4e88\u6e2c\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u4ee5\u4e0b\u306f\u3001\u632f\u308a\u5b50\u3092\u7528\u3044\u305f\u5177\u4f53\u4f8b\u3068\u3068\u3082\u306b\u793a\u3057\u305f\u30013 \u3064\u306e\u7570\u306a\u308b\u76ee\u7684\u306e\u6982\u8981\u3067\u3059\u3002<\/p>\n<table width=\"90%;\">\n<tbody>\n<tr style=\"border: solid 1px #bfbfbf; border-bottom: solid 2px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u76ee\u7684<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u4e0e\u3048\u3089\u308c\u308b\u60c5\u5831<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u7d50\u679c\u306e\u5f62\u5f0f<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u632f\u308a\u5b50\u306e\u4f8b<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u672a\u77e5\u306e\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306e\u30e2\u30c7\u30ea\u30f3\u30b0<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u6e2c\u5b9a\u30c7\u30fc\u30bf + \u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u306a\u3069\u306e\u7269\u7406\u7684\u77e5\u898b<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u5b66\u7fd2\u3055\u308c\u305f\u30e2\u30c7\u30eb<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u632f\u308a\u5b50\u306e\u30c7\u30fc\u30bf\u3068\u4fdd\u5b58\u5247\u3092\u3082\u3068\u306b\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u3092\u8003\u616e\u3057\u306a\u304c\u3089\u5c06\u6765\u306e\u52d5\u304d\u3092\u4e88\u6e2c\u3059\u308b\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u65b9\u7a0b\u5f0f\u306e\u767a\u898b<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u6e2c\u5b9a\u30c7\u30fc\u30bf + \u652f\u914d\u65b9\u7a0b\u5f0f\u306e\u9805\u306a\u3069\u306e\u7269\u7406\u7684\u77e5\u898b<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u660e\u793a\u7684\u306a\u65b9\u7a0b\u5f0f<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u632f\u308a\u5b50\u306e\u30c7\u30fc\u30bf\u304b\u3089\u3001\u305d\u306e\u904b\u52d5\u3092\u652f\u914d\u3059\u308b\u65b9\u7a0b\u5f0f\u3092\u767a\u898b\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u65e2\u77e5\u306e\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u652f\u914d\u65b9\u7a0b\u5f0f\uff08PINNs\u306e\u5834\u5408\uff09\u307e\u305f\u306f\u5165\u529b\u3068\u51fa\u529b\u306e\u89e3\u30c7\u30fc\u30bf\uff08\u30aa\u30da\u30ec\u30fc\u30bf\u5b66\u7fd2\u306e\u5834\u5408\uff09<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">ODE\/PDE\u306e\u89e3\uff08PINNs\uff09\u307e\u305f\u306f\u5b66\u7fd2\u3055\u308c\u305f\u89e3\u30aa\u30da\u30ec\u30fc\u30bf\uff08\u30aa\u30da\u30ec\u30fc\u30bf\u5b66\u7fd2\uff09<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u632f\u308a\u5b50\u306e\u65b9\u7a0b\u5f0f\u3068\u30c7\u30fc\u30bf\u3092\u4f7f\u3063\u3066\u904b\u52d5\u3092\u4e88\u6e2c\u3059\u308b\uff08PINNs\uff09\u3001\u307e\u305f\u306f\u5916\u529b\u5165\u529b\u304b\u3089\u904b\u52d5\u3092\u4e88\u6e2c\u3059\u308b\u30e2\u30c7\u30eb\u3092\u5b66\u7fd2\u3059\u308b\uff08\u30aa\u30da\u30ec\u30fc\u30bf\u5b66\u7fd2\uff09\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div><\/div>\n<p><strong>Table:<\/strong> \u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u4e3b\u8981\u306a\u76ee\u7684\u3068\u3001\u5358\u632f\u308a\u5b50\u3092\u7528\u3044\u305f\u5177\u4f53\u4f8b<\/p>\n<p>&nbsp;<\/p>\n<p>\u6b21\u56de\u306e\u30d6\u30ed\u30b0\u6295\u7a3f\u3067\u306f\u3001\u4eca\u56de\u7d39\u4ecb\u3057\u305f\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u5177\u4f53\u7684\u306a\u624b\u6cd5\u306b\u52a0\u3048\u3001\u3044\u304f\u3064\u304b\u306e\u8ffd\u52a0\u624b\u6cd5\u306b\u3064\u3044\u3066\u3082\u8a73\u3057\u304f\u6398\u308a\u4e0b\u3052\u3001MATLAB \u3067\u306e\u5b9f\u88c5\u65b9\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002\u4eca\u56de\u306f\u307e\u305a\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306b\u304a\u3051\u308b\u201c\u7269\u7406\u201d\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u201c\u60c5\u5831\u3092\u4e0e\u3048\u308b\u201d\u306e\u304b\u306b\u3064\u3044\u3066\u63a2\u3063\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>&nbsp;<\/p>\n<p style=\"font-size: 20px; color: #c04c0b;\"><strong>\u7269\u7406\u77e5\u8b58\u306f\u3069\u306e\u3088\u3046\u306b\u8868\u73fe\u3055\u308c\u308b\u306e\u304b\uff1f<\/strong><\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u3067\u306f\u3001AI\u30e2\u30c7\u30eb\u306e\u8a2d\u8a08\u3092\u5c0e\u3044\u305f\u308a\u3001\u5236\u7d04\u3092\u52a0\u3048\u305f\u308a\u3001\u7740\u60f3\u3092\u4e0e\u3048\u305f\u308a\u3059\u308b\u5f62\u3067\u7269\u7406\u7684\u77e5\u8b58\u3092\u8868\u73fe\u3057\u307e\u3059\u3002\u632f\u308a\u5b50\u306e\u4f8b\u3067\u306f\u3001\u305f\u3068\u3048\u3070\u300c\u7cfb\u306e\u5168\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u4fdd\u5b58\u3055\u308c\u308b\uff08\u30cf\u30df\u30eb\u30c8\u30f3\u529b\u5b66\u306b\u57fa\u3065\u304f\uff09\u300d\u3068\u3044\u3046\u77e5\u8b58\u3084\u3001\u300c\u652f\u914d\u65b9\u7a0b\u5f0f\u304c\u89d2\u52a0\u901f\u5ea6\u3068\u4f4d\u7f6e\u306b\u4f9d\u5b58\u3059\u308b\u300d\u3068\u3044\u3046\u77e5\u8b58\uff08\u305f\u3068\u3048\u6469\u64e6\u306a\u3069\u306e\u9805\u304c\u672a\u77e5\u3067\u3042\u3063\u3066\u3082\uff09\u304c\u8a72\u5f53\u3057\u307e\u3059\u3002<\/p>\n<p>\u3067\u306f\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u6587\u8108\u306b\u304a\u3044\u3066\u300c\u7269\u7406\u77e5\u8b58\u300d\u3068\u306f\u5177\u4f53\u7684\u306b\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\uff1f\u305d\u3057\u3066\u3001\u305d\u306e\u77e5\u8b58\u306fAI\u30e2\u30c7\u30eb\u3067\u3069\u306e\u3088\u3046\u306b\u7b26\u53f7\u5316\uff08\u30a8\u30f3\u30b3\u30fc\u30c9\uff09\u3055\u308c\u3001\u6d3b\u7528\u3055\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306b\u304a\u3044\u3066\u3001\u7269\u7406\u77e5\u8b58\u306b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u542b\u307e\u308c\u307e\u3059\uff1a<\/p>\n<ul>\n<li><strong>\u652f\u914d\u65b9\u7a0b\u5f0f<\/strong>\uff08\u4f8b\uff1a\u632f\u308a\u5b50\u306e\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\uff09<\/li>\n<li><strong>\u4fdd\u5b58\u5247\u3068\u5bfe\u79f0\u6027<\/strong>\uff08\u4f8b\uff1a\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\uff09<\/li>\n<li><strong>\u5883\u754c\u6761\u4ef6\u304a\u3088\u3073\u521d\u671f\u6761\u4ef6<\/strong>\uff08\u4f8b\uff1a\u521d\u671f\u306e\u89d2\u5ea6\u3068\u89d2\u901f\u5ea6\uff09<\/li>\n<li><strong>\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u306e\u77e5\u8b58<\/strong>\uff08\u4f8b\uff1a\u6700\u5927\u632f\u308c\u89d2\u3001\u5468\u671f\u6027\uff09<\/li>\n<\/ul>\n<p>\u4ee5\u4e0b\u306e\u8868\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u7a2e\u985e\u306e\u7269\u7406\u77e5\u8b58\u3068\u3001\u305d\u308c\u305e\u308c\u632f\u308a\u5b50\u306b\u95a2\u9023\u3059\u308b\u5177\u4f53\u4f8b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h6><\/h6>\n<table width=\"90%;\">\n<tbody>\n<tr style=\"border: solid 1px #bfbfbf; border-bottom: solid 2px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\"><strong>\u30bf\u30a4\u30d7<\/strong><\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\"><strong>\u4e0e\u3048\u3089\u308c\u308b\u60c5\u5831<\/strong><\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\"><b>\u6570\u5b66\u8868\u73fe<\/b><\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u652f\u914d\u65b9\u7a0b\u5f0f<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u632f\u308a\u5b50\u306e\u65b9\u7a0b\u5f0f<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[\\ddot{\\theta}=\\ -\\omega_0^2\\sin{\\theta} \\]<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u4fdd\u5b58\u5247<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[E=\\ \\frac{1}{2}m\\ell^2{\\dot{\\theta}}^2+mg\\ell(1-\\cos{\\theta}) \\]<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u5883\u754c\u30fb\u521d\u671f\u6761\u4ef6<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u521d\u671f\u89d2\u5ea6\u3068\u89d2\u901f\u5ea6<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[\\theta\\left(0\\right)=\\ \\theta_0,\\ \\dot{\\theta}(0)=\\ {\\dot{\\theta}}_0 \\]<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u77e5\u8b58<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u7269\u7406\u5236\u7d04\uff08\u6700\u5927\u89d2\uff09<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[|\\theta|\\le\\theta_{max}\\]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Table: <\/strong>\u632f\u308a\u5b50\u3092\u7528\u3044\u3066\u7269\u7406\u77e5\u8b58\u3092\u3069\u306e\u3088\u3046\u306b\u8868\u73fe\u3067\u304d\u308b\u304b\u306e\u4f8b\u3002\u3053\u306e\u4e00\u89a7\u306f\u7db2\u7f85\u7684\u3067\u306f\u306a\u304f\u3001\u7269\u7406\u77e5\u8b58\u306b\u306f\u5bfe\u79f0\u6027\u3001\u4e0d\u5909\u6027\u3001\u7d4c\u9a13\u5247\u306a\u3069\u3082\u542b\u307e\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h6><\/h6>\n<p>\u30c9\u30e1\u30a4\u30f3\u77e5\u8b58\u3092\u6a5f\u68b0\u5b66\u7fd2\u306b\u7d71\u5408\u3059\u308b\u65b9\u6cd5\u3068\u305d\u306e\u4f8b\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u65b9\u306f\u3001\u4ee5\u4e0b\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\uff1a<a href=\"https:\/\/blogs.mathworks.com\/deep-learning\/2024\/05\/30\/building-confidence-in-ai-with-constrained-deep-learning\/\">Building Confidence in AI with Constrained Deep Learning<\/a>\u3001<a href=\"https:\/\/www.mathworks.com\/videos\/estimating-nonlinear-black-box-models-68897.html\">Use Physics-Inspired Estimators for Estimating Nonlinear Dynamics<\/a>.<\/p>\n<h6><\/h6>\n<p style=\"font-size: 20px; color: #c04c0b;\"><strong>\u7269\u7406\u77e5\u8b58\u306f\u6a5f\u68b0\u5b66\u7fd2\u3068\u3069\u306e\u3088\u3046\u306b\u7d71\u5408\u3055\u308c\u308b\u306e\u304b\uff1f<\/strong><\/p>\n<p>\u6a5f\u68b0\u5b66\u7fd2\u306e\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u306f\u901a\u5e38\u3001\u4ee5\u4e0b\u306e6\u3064\u306e\u30b9\u30c6\u30fc\u30b8\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\uff1a<\/p>\n<div class=\"___i31lg00 f10pi13n f14t3ns0 f1nbblvp fat0sn4 f1ov4xf1 fekwl8i f1lmfglv f1oz7aqm f1abmfm4 f1w619qj f16h0jq8\">\n<table class=\"___1hm93bs f1ddd56o f16vktn6 f1enuhaj fdclmfp f1ev3kgc ftgm304 f1uinfot fibjyge fvueend f9yszdx f1fu4s3n f3l3pb3 f1s2k7dp f8fmt76 fjvbh62 fysh76l fic4ptz f1yenhzu f1yn6nvh f14tj6oe f1jq587y f1el8yx3 f1pymoxg f1ofu761 fe6itr f7coize f1794535 f70r78m f4zgifc fk1v6el f16pyhcb fo436u6 fzy4j18 fc43013 f1hmrcvb fc4t9fq fgp09rh fjnyn6r\">\n<thead>\n<tr>\n<th>\u30b9\u30c6\u30fc\u30b8<\/th>\n<th>\u8aac\u660e<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1. \u76ee\u7684\u306e\u5b9a\u7fa9<\/td>\n<td>\u30e2\u30c7\u30eb\u5316\u3059\u3079\u304d\u5185\u5bb9\u3092\u660e\u78ba\u306b\u3057\u3001\u5165\u529b\u3068\u51fa\u529b\u306e\u95a2\u4fc2\u3084\u65e2\u77e5\u306e\u7269\u7406\u6cd5\u5247\u3092\u7279\u5b9a\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr>\n<td>2. \u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30c7\u30fc\u30bf\u306e\u53ce\u96c6<\/td>\n<td>\u5b9f\u9a13\u3001\u6e2c\u5b9a\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306a\u3069\u3092\u901a\u3058\u3066\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3057\u3001\u751f\u30c7\u30fc\u30bf\u3092\u5206\u6790\u30fb\u30e2\u30c7\u30ea\u30f3\u30b0\u306b\u9069\u3057\u305f\u5f62\u5f0f\u306b\u524d\u51e6\u7406\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr>\n<td>3. \u30e2\u30c7\u30eb\u306e\u69cb\u7bc9<\/td>\n<td>\u30c7\u30fc\u30bf\u3068\u30bf\u30b9\u30af\u306b\u6700\u9069\u306a\u6a5f\u68b0\u5b66\u7fd2\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3084\u6df1\u5c64\u5b66\u7fd2\u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3\u3092\u9078\u629e\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr>\n<td>4. \u640d\u5931\u95a2\u6570\u306e\u5b9a\u7fa9<\/td>\n<td>\u89b3\u6e2c\u30c7\u30fc\u30bf\u3068\u306e\u4e00\u81f4\u3084\u7269\u7406\u6cd5\u5247\u306e\u9075\u5b88\u306a\u3069\u3001\u76ee\u7684\u9054\u6210\u5ea6\u3092\u5b9a\u91cf\u5316\u3059\u308b\u640d\u5931\u95a2\u6570\u3092\u4f5c\u6210\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr>\n<td>5. \u30e2\u30c7\u30eb\u306e\u6700\u9069\u5316<\/td>\n<td>\u640d\u5931\u3092\u6700\u5c0f\u5316\u3057\u3001\u4e88\u6e2c\u7cbe\u5ea6\u3092\u9ad8\u3081\u308b\u305f\u3081\u306b\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8abf\u6574\u3059\u308b\u3002<\/td>\n<\/tr>\n<tr>\n<td>6. \u4e88\u6e2c\u306e\u5b9f\u884c<\/td>\n<td>\u5b66\u7fd2\u6e08\u307f\u30e2\u30c7\u30eb\u3092\u4f7f\u3063\u3066\u4e88\u6e2c\u3092\u884c\u3063\u305f\u308a\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u6319\u52d5\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3059\u308b\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"___sui5t70 f1euv43f f1dk1t8m fi2lt33 f22iagw f1vx9l62 f4xv25i fk73vx1 f18ltkaj\"><strong>Table\uff1a\u5f93\u6765\u306e\u6a5f\u68b0\u5b66\u7fd2\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u306e6\u3064\u306e\u30b9\u30c6\u30fc\u30b8<\/strong><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>\u7269\u7406\u306f\u3053\u306e\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u306e\u3055\u307e\u3056\u307e\u306a\u6bb5\u968e\u3067\u7d44\u307f\u8fbc\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304c\u3001\u4e3b\u306b\u30e2\u30c7\u30eb\u69cb\u9020\uff08\u30b9\u30c6\u30fc\u30b8 3\uff09\u3068\u8a55\u4fa1\uff08\u30b9\u30c6\u30fc\u30b8 4\uff09\u306b\u60c5\u5831\u3092\u4e0e\u3048\u308b\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u6a5f\u68b0\u5b66\u7fd2\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f\u3001\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30e2\u30c7\u30eb\u3092\u88dc\u5b8c\u3057\u3001\u90e8\u5206\u7684\u306b\u672a\u77e5\u306a\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306b\u5bfe\u5fdc\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\uff08\u30b9\u30c6\u30fc\u30b8 1\uff09\u3002<\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u6226\u7565\u306e\u3072\u3068\u3064\u306f\u3001\u7269\u7406\u539f\u7406\u306b\u57fa\u3065\u3044\u305f\u5236\u7d04\u3092\u8ab2\u3059\u3053\u3068\u3067\u3001\u4e88\u6e2c\u304c\u6b63\u78ba\u3067\u3042\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u7269\u7406\u7684\u306b\u3082\u59a5\u5f53\u3067\u3042\u308b\u3053\u3068\u3092\u4fdd\u8a3c\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u5236\u7d04\u306e\u8ab2\u3057\u65b9\u306b\u306f\u4e3b\u306b2 \u3064\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u3042\u308a\u307e\u3059\uff1a<\/p>\n<ul>\n<li><strong>\u30bd\u30d5\u30c8\u5236\u7d04<\/strong>\uff1a\u7269\u7406\u30d9\u30fc\u30b9\u306e\u5236\u7d04\u3092\u640d\u5931\u95a2\u6570\uff08\u30b9\u30c6\u30fc\u30b8 4\uff09\u306e\u6b63\u5247\u5316\u9805\u3068\u3057\u3066\u8ffd\u52a0\u3057\u307e\u3059\u3002\u5b66\u7fd2\u4e2d\u306f\u5236\u7d04\u9055\u53cd\u306b\u5bfe\u3057\u3066\u30da\u30ca\u30eb\u30c6\u30a3\u304c\u8ab2\u3055\u308c\u307e\u3059\u304c\u3001\u5b66\u7fd2\u5f8c\u306e\u4e88\u6e2c\u304c\u5fc5\u305a\u3057\u3082\u5236\u7d04\u3092\u53b3\u5bc6\u306b\u6e80\u305f\u3059\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/li>\n<li><strong>\u30cf\u30fc\u30c9\u5236\u7d04<\/strong>\uff1a\u30e2\u30c7\u30eb\u306e\u69cb\u9020\uff08\u30b9\u30c6\u30fc\u30b8 3\uff09\u3092\u8a2d\u8a08\u3059\u308b\u6bb5\u968e\u3067\u3001\u7269\u7406\u7684\u5236\u7d04\u304c\u5e38\u306b\u6e80\u305f\u3055\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>Deep Learning Toolbox \u3067\u306f\u3001\u3053\u308c\u3089 2 \u7a2e\u985e\u306e\u7269\u7406\u5236\u7d04\uff08\u30bd\u30d5\u30c8\u5236\u7d04\u3068\u30cf\u30fc\u30c9\u5236\u7d04\uff09\u3092\u6df1\u5c64\u5b66\u7fd2\u30ef\u30fc\u30af\u30d5\u30ed\u30fc\u306b\u7d44\u307f\u8fbc\u3080\u305f\u3081\u306e\u30c4\u30fc\u30eb\u304c\u63d0\u4f9b\u3055\u308c\u3066\u304a\u308a\u3001\u90e8\u5206\u7684\u306b\u3057\u304b\u5206\u304b\u3063\u3066\u3044\u306a\u3044\u7269\u7406\u30e2\u30c7\u30eb\u3092 AI \u306b\u3088\u3063\u3066\u88dc\u5b8c\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u30bd\u30d5\u30c8\u5236\u7d04\u306b\u95a2\u3059\u308b\u300c<a href=\"https:\/\/www.mathworks.com\/discovery\/physics-informed-neural-networks.html\">Physics-Informed Neural Networks (PINNs) \u3068\u306f<\/a>\u300d\u304a\u3088\u3073\u30cf\u30fc\u30c9\u5236\u7d04\u306b\u95a2\u3059\u308b\u30ea\u30dd\u30b8\u30c8\u30ea\u300c<a href=\"https:\/\/github.com\/matlab-deep-learning\/constrained-deep-learning\" class=\"external\" rel=\"nofollow\" target=\"_blank\">AI Verification: Constrained Deep Learning<\/a>\u300d\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u8868\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u7a2e\u985e\u306e\u7269\u7406\u77e5\u8b58\u3092\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u306b\u7d71\u5408\u3059\u308b\u65b9\u6cd5\u3068\u3001\u305d\u308c\u305e\u308c\u306e\u5236\u7d04\u306e\u9069\u7528\u6226\u7565\u3001\u304a\u3088\u3073 MATLAB \u306e\u30b3\u30fc\u30c9\u4f8b\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<table width=\"90%;\">\n<tbody>\n<tr style=\"border: solid 1px #bfbfbf; border-bottom: solid 2px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\"><strong>\u7269\u7406\u77e5\u8b58<\/strong><\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\"><strong>\u4f8b<\/strong><\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\"><b>\u7269\u7406\u6cd5\u5247\u306e\u633f\u5165\u7b87\u6240<\/b><\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\"><strong>\u30b3\u30fc\u30c9\u4f8b<\/strong><\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u652f\u914d\u65b9\u7a0b\u5f0f<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[ \\ddot{\\theta}=\\ -\\omega_0^2\\sin{\\theta} \\]<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u640d\u5931\u95a2\u6570<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\n<pre>residual = dllaplacian(Theta,T,1) + omega_0^2*sin(Theta);<\/pre>\n<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u4e00\u90e8\u4e0d\u660e\u306a\u652f\u914d\u65b9\u7a0b\u5f0f<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[<br \/>\n\\frac{d}{dt}<br \/>\n\\begin{bmatrix}<br \/>\n\\theta \\\\<br \/>\n\\dot{\\theta}<br \/>\n\\end{bmatrix}<br \/>\n=<br \/>\n\\begin{bmatrix}<br \/>\n\\dot{\\theta} \\\\<br \/>\n-\\omega_0^2 \\sin\\theta + h<br \/>\n\\end{bmatrix}<br \/>\n\\]<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u76ee\u7684\u95a2\u6570<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\n<pre>gFcn = @(X) [X(2,:); -omega0^2*sin(X(1,:))];\r\ngLayer = functionLayer(gFcn);<\/pre>\n<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u4fdd\u5b58\u5247<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u69cb\u9020\u30fb\u640d\u5931\u95a2\u6570<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\n<pre>% Hamilton\u2019s equations\r\nloss = l2loss(dq,dljacobian(H,p,1)) + l2loss(dp,-dljacobian(H,q,1));<\/pre>\n<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u521d\u671f\u30fb\u5883\u754c\u6761\u4ef6<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[ \\theta(0) = \\theta_0\\]<\/p>\n<h6><\/h6>\n<p>\\[ \\dot{\\theta}(0) = \\dot{\\theta}_0 \\]<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u69cb\u9020\u30fb\u640d\u5931\u95a2\u6570<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\n<pre>icLoss = l2loss(Theta,theta0) + l2loss(dljacobian(Theta,T0,1),thetaDot0);<\/pre>\n<\/td>\n<\/tr>\n<tr style=\"border: solid 1px #bfbfbf;\">\n<td style=\"padding: 10px; border: 1px solid #bfbfbf; text-align: left;\">\u30c9\u30e1\u30a4\u30f3\u77e5\u8b58<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\\[ |\\theta| \\leq \\theta_{\\text{max}} \\]<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\u69cb\u9020<\/td>\n<td style=\"padding: 10px; text-align: left; border: solid 1px #bfbfbf;\">\n<pre>[tanhLayer; \r\nscalingLayer(Scale=thetaMax)] \r\n<\/pre>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Table: <\/strong>\u632f\u308a\u5b50\u306b\u5bfe\u3059\u308b\u7269\u7406\u30d9\u30fc\u30b9\u306e\u5236\u7d04\u306e\u4f8b\u3068\u3001\u305d\u308c\u3089\u3092 MATLAB \u3092\u7528\u3044\u305f\u6df1\u5c64\u5b66\u7fd2\u30e2\u30c7\u30eb\u3067\u3069\u306e\u3088\u3046\u306b\u8868\u73fe\u30fb\u9069\u7528\u3067\u304d\u308b\u304b\u306e\u4f8b\u3002<\/p>\n<h6><\/h6>\n<p style=\"font-size: 20px; color: #c04c0b;\"><strong>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u5229\u70b9<\/strong><\/p>\n<p>\u3053\u3053\u307e\u3067\u8aad\u307f\u9032\u3081\u3066\u3044\u305f\u3060\u3044\u305f\u65b9\u306f\u3001\u3059\u3067\u306b\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u5b9f\u8df5\u8005\u306e\u3088\u3046\u306a\u601d\u8003\u306b\u8fd1\u3065\u3044\u3066\u3044\u308b\u3068\u8a00\u3048\u308b\u3067\u3057\u3087\u3046\uff01\u3068\u306f\u3044\u3048\u3001\u307e\u3060\u300c\u306a\u305c\u5f93\u6765\u306e\u7269\u7406\u30d9\u30fc\u30b9\u624b\u6cd5\u3084\u7d14\u7c8b\u306a AI \u3067\u306f\u306a\u304f\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u3092\u9078\u3076\u306e\u304b\uff1f\u300d\u3068\u3044\u3046\u7591\u554f\u304c\u6b8b\u3063\u3066\u3044\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u7b2c\u4e00\u539f\u7406\u306b\u57fa\u3065\u304f\u30e2\u30c7\u30eb\u306f\u3001\u89e3\u91c8\u6027\u3084\u6c4e\u5316\u6027\u306b\u512a\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u8a08\u7b97\u30b3\u30b9\u30c8\u304c\u9ad8\u304f\u3001\u3059\u3079\u3066\u306e\u30b7\u30b9\u30c6\u30e0\u306b\u9069\u7528\u3067\u304d\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u2014\u7279\u306b\u7269\u7406\u6cd5\u5247\u304c\u5341\u5206\u306b\u7406\u89e3\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u306b\u306f\u9650\u754c\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001AI \u306f\u30c7\u30fc\u30bf\u304b\u3089\u8907\u96d1\u306a\u30d1\u30bf\u30fc\u30f3\u3092\u5b66\u7fd2\u3057\u3001\u9ad8\u901f\u306a\u4e88\u6e2c\u3092\u884c\u3046\u306e\u306b\u512a\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u89e3\u91c8\u6027\u306b\u6b20\u3051\u308b\u3053\u3068\u304c\u591a\u304f\u3001\u5b66\u7fd2\u30c7\u30fc\u30bf\u306e\u7bc4\u56f2\u3092\u8d85\u3048\u305f\u6c4e\u5316\u304c\u96e3\u3057\u3044\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u3001\u7b2c\u4e00\u539f\u7406\u30e2\u30c7\u30ea\u30f3\u30b0\u3068 AI \u3092\u7d71\u5408\u3059\u308b\u3053\u3068\u3067\u3001\u4e92\u3044\u306e\u5f37\u307f\u3092\u6d3b\u304b\u3057\u306a\u304c\u3089\u305d\u308c\u305e\u308c\u3092\u88dc\u5b8c\u3059\u308b\u3053\u3068\u3092\u76ee\u6307\u3057\u3066\u3044\u307e\u3059\u3002\u3068\u306f\u3044\u3048\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u4e07\u80fd\u306a\u89e3\u6c7a\u7b56\u3067\u306f\u306a\u304f\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u5f93\u6765\u306e\u624b\u6cd5\u306e\u65b9\u304c\u512a\u308c\u3066\u3044\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u3067\u3082\u3001\u7279\u5b9a\u306e\u72b6\u6cc1\u306b\u304a\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5b9f\u7528\u7684\u306a\u5229\u70b9\u3092\u63d0\u4f9b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p>&nbsp;<\/p>\n<ol>\n<li><strong>\u4e88\u6e2c\u7cbe\u5ea6\u306e\u5411\u4e0a<\/strong>\uff1a\u7269\u7406\u7684\u77e5\u8b58\u3092\u53d6\u308a\u5165\u308c\u308b\u3053\u3068\u3067\u3001\u7279\u306b\u30c7\u30fc\u30bf\u304c\u9650\u3089\u308c\u3066\u3044\u305f\u308a\u30ce\u30a4\u30ba\u304c\u591a\u3044\u5834\u5408\u3067\u3082\u3001\u4e88\u6e2c\u306e\u7cbe\u5ea6\u3092\u9ad8\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/li>\n<li><strong>\u900f\u660e\u6027\u3068\u89e3\u91c8\u6027\u306e\u5411\u4e0a<\/strong>\uff1a\u65e2\u77e5\u306e\u7269\u7406\u6cd5\u5247\u3092\u7d44\u307f\u8fbc\u3080\u3053\u3068\u3067\u3001\u4e88\u6e2c\u304c\u3069\u306e\u3088\u3046\u306b\u3001\u306a\u305c\u884c\u308f\u308c\u305f\u306e\u304b\u3092\u7406\u89e3\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u30c7\u30fc\u30bf\u52b9\u7387\u306e\u5411\u4e0a<\/strong>\uff1a\u65e2\u77e5\u306e\u7269\u7406\u6cd5\u5247\u3092\u6d3b\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u5c11\u306a\u3044\u30c7\u30fc\u30bf\u3067\u3082\u9ad8\u7cbe\u5ea6\u306a\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u6c4e\u5316\u6027\u80fd\u306e\u5411\u4e0a<\/strong>\uff1a\u7269\u7406\u7684\u306a\u5236\u7d04\u3092\u52a0\u3048\u308b\u3053\u3068\u3067\u3001\u30e2\u30c7\u30eb\u304c\u65b0\u3057\u3044\u72b6\u6cc1\u306b\u3082\u9069\u5207\u306b\u5bfe\u5fdc\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u63a8\u8ad6\u306e\u9ad8\u901f\u5316<\/strong>\uff1a\u5f93\u6765\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u6bd4\u3079\u3066\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u306f\u8fc5\u901f\u306a\u4e88\u6e2c\u3092\u63d0\u4f9b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/li>\n<\/ol>\n<h6><\/h6>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-17499 \" src=\"https:\/\/blogs.mathworks.com\/deep-learning\/files\/2025\/06\/PhiML_workflow.png\" alt=\"\" width=\"645\" height=\"161\" \/><\/p>\n<p><strong>Figure: <\/strong>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u3001\u65e2\u77e5\u306e\u7269\u7406\u6cd5\u5247\u3092\u6d3b\u7528\u3057\u3066 AI \u30e2\u30c7\u30eb\u3092\u5f37\u5316\u3057\u305f\u308a\u3001\u90e8\u5206\u7684\u306b\u3057\u304b\u5206\u304b\u3063\u3066\u3044\u306a\u3044\u7269\u7406\u30e2\u30c7\u30eb\u3092 AI \u306b\u3088\u3063\u3066\u88dc\u5b8c\u30fb\u6539\u5584\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a<strong>\u9ad8\u7cbe\u5ea6\u3067\u3001\u89e3\u91c8\u6027\u304c\u9ad8\u304f\u3001\u52b9\u7387\u7684\u306a\u624b\u6cd5<\/strong>\u3092\u5b9f\u73fe\u3057\u307e\u3059\u3002<\/p>\n<h6><\/h6>\n<p>\u305d\u308c\u3067\u306f\u3001\u3059\u3067\u306b\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u6069\u6075\u3092\u53d7\u3051\u3066\u3044\u308b\u5206\u91ce\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<h6><\/h6>\n<p style=\"font-size: 20px; color: #c04c0b;\"><strong>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u5fdc\u7528\u4f8b<\/strong><\/p>\n<p>\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5e45\u5e83\u3044\u5206\u91ce\u3067\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\uff1a<\/p>\n<h6><\/h6>\n<ul>\n<li><a href=\"https:\/\/www.mathworks.com\/discovery\/quantitative-systems-pharmacology.html\"><strong>\u5b9a\u91cf\u7684\u30b7\u30b9\u30c6\u30e0\u85ac\u7406\u5b66\uff08QSP\uff09<\/strong><\/a>\uff1a<br \/>\n\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u306f\u3001\u529b\u5b66\u7684\u306a\u65b9\u7a0b\u5f0f\u3068\u67d4\u8edf\u306a\u6a5f\u68b0\u5b66\u7fd2\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3088\u304f\u7406\u89e3\u3055\u308c\u3066\u3044\u308b\u751f\u7269\u5b66\u7684\u30d7\u30ed\u30bb\u30b9\u3068\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u306e\u52d5\u614b\u306e\u4e21\u65b9\u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u624b\u6cd5\u306f\u3001\u5b9f\u9a13\u30c7\u30fc\u30bf\u304b\u3089\u652f\u914d\u65b9\u7a0b\u5f0f\u3092\u7279\u5b9a\u30fb\u6539\u826f\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u3001\u85ac\u7269\u306e<a href=\"https:\/\/www.mathworks.com\/discovery\/pharmacokinetic.html\">\u85ac\u7269\u52d5\u614b\u30e2\u30c7\u30eb<\/a>\u3084\u85ac\u7269\u52d5\u614b\u3068\u85ac\u529b\u5b66\u306e\u95a2\u4fc2\u30e2\u30c7\u30eb\u3092\u3088\u308a\u6b63\u78ba\u304b\u3064\u5805\u7262\u306b\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blogs.mathworks.com\/deep-learning\/2023\/08\/11\/virtual-sensors-with-ai-and-model-based-design\/\"><strong>\u4eee\u60f3\u30bb\u30f3\u30b5\u30fc<\/strong><\/a>\uff1a\u5de5\u5b66\u5206\u91ce\u3067\u306f\u3001\u71b1\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u3088\u3046\u306a\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u30e2\u30c7\u30eb\u304c\u3001\u7279\u5b9a\u306e\u71b1\u4f1d\u9054\u30e2\u30c7\u30eb\u306e\u69cb\u9020\u3068\u3001\u8907\u96d1\u307e\u305f\u306f\u672a\u77e5\u306e\u52b9\u679c\u3092\u6349\u3048\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u7d44\u307f\u5408\u308f\u305b\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30a2\u30d7\u30ed\u30fc\u30c1\u306b\u3088\u308a\u3001\u30d6\u30e9\u30c3\u30af\u30dc\u30c3\u30af\u30b9\u30e2\u30c7\u30eb\uff08\u4f8b\uff1a<a href=\"https:\/\/www.mathworks.com\/help\/deeplearning\/ug\/long-short-term-memory-networks.html\">LSTM\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af<\/a>\uff09\u3088\u308a\u3082\u89e3\u91c8\u6027\u304c\u9ad8\u304f\u3001\u6b63\u78ba\u306a\u4e88\u6e2c\u304c\u53ef\u80fd\u3068\u306a\u308a\u3001\u96fb\u52d5\u30e2\u30fc\u30bf\u30fc\u5185\u306e\u6e29\u5ea6\u5206\u5e03\u306e\u4e88\u6e2c\u306a\u3069\u3001\u9ad8\u4fa1\u306a\u7269\u7406\u30bb\u30f3\u30b5\u30fc\u3078\u306e\u4f9d\u5b58\u3092\u6e1b\u3089\u3059\u7528\u9014\u306b\u6d3b\u7528\u3067\u304d\u307e\u3059\u3002<\/li>\n<li><strong>PDE\uff08\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\uff09\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/strong>\uff1a\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u4e00\u90e8\u306e\u624b\u6cd5\u306f\u3001<a href=\"https:\/\/www.mathworks.com\/help\/pde\/ug\/solve-heat-equation-using-graph-neural-network.html\">\u71b1\u4f1d\u9054<\/a>\u3001<a href=\"https:\/\/github.com\/MathWorks-Teaching-Resources\/Computational-Fluid-Dynamics\" class=\"external\" rel=\"nofollow\" target=\"_blank\">\u6d41\u4f53\u529b\u5b66<\/a>\u3001\u6c17\u5019\u30e2\u30c7\u30ea\u30f3\u30b0\u306a\u3069\u306e\u5206\u91ce\u3067\u5e83\u304f\u4f7f\u308f\u308c\u308b PDE \u306e\u89e3\u6cd5\u306b\u7279\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002\u3042\u308b\u624b\u6cd5\u3067\u306f\u3001\u7269\u7406\u6cd5\u5247\u3092\u30e2\u30c7\u30eb\u306b\u76f4\u63a5\u7d44\u307f\u8fbc\u3080\u3053\u3068\u3067\u3001\u4e88\u6e2c\u304c\u65e2\u77e5\u306e\u65b9\u7a0b\u5f0f\u3068\u4e00\u81f4\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u307e\u305f\u5225\u306e\u624b\u6cd5\u3067\u306f\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30c7\u30fc\u30bf\u3092\u6d3b\u7528\u3057\u3066\u3001\u7570\u306a\u308b\u6761\u4ef6\u3084\u8a2d\u8a08\u306b\u304a\u3051\u308b\u30b7\u30b9\u30c6\u30e0\u306e\u6319\u52d5\u3092\u8fc5\u901f\u306b\u4e88\u6e2c\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3084\u8a2d\u8a08\u63a2\u7d22\u3092\u52a0\u901f\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u30c7\u30fc\u30bf\u99c6\u52d5\u578b\u30e2\u30c7\u30ea\u30f3\u30b0\u3068\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30e2\u30c7\u30ea\u30f3\u30b0\u306e\u6a4b\u6e21\u3057\u3092\u3059\u308b\u3053\u3068\u3067\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306f\u3001\u79d1\u5b66\u3084\u5de5\u5b66\u306b\u304a\u3051\u308b\u307e\u3059\u307e\u3059\u8907\u96d1\u306a\u8ab2\u984c\u306b\u53d6\u308a\u7d44\u3080\u305f\u3081\u306e\u6709\u529b\u306a\u624b\u6bb5\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<h6><\/h6>\n<p style=\"font-size: 20px; color: #c04c0b;\"><b>\u307e\u3068\u3081<\/b><\/p>\n<p>\u4eca\u56de\u306e\u6295\u7a3f\u3067\u306f\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u652f\u914d\u65b9\u7a0b\u5f0f\u3084\u4fdd\u5b58\u5247\u3068\u3044\u3063\u305f\u7269\u7406\u7684\u77e5\u898b\u3092AI\u30e2\u30c7\u30eb\u306b\u7d71\u5408\u3059\u308b\u3053\u3068\u3067\u305d\u306e\u6027\u80fd\u3092\u9ad8\u3081\u308b\u3068\u540c\u6642\u306b\u3001AI \u3092\u6d3b\u7528\u3057\u3066\u5f93\u6765\u306e\u7269\u7406\u30d9\u30fc\u30b9\u306e\u30e2\u30c7\u30ea\u30f3\u30b0\u3092\u88dc\u5b8c\u30fb\u62e1\u5f35\u3059\u308b\u3068\u3044\u3046\u65b0\u305f\u306a\u30d1\u30e9\u30c0\u30a4\u30e0\u3067\u3059\u3002\u632f\u308a\u5b50\u3092\u4f8b\u306b\u53d6\u308a\u306a\u304c\u3089\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u4e3b\u306a\u76ee\u7684\u3067\u3042\u308b\u300c\u30c7\u30fc\u30bf\u304b\u3089\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u3092\u30e2\u30c7\u30ea\u30f3\u30b0\u3059\u308b\u300d\u300c\u6839\u672c\u7684\u306a\u7269\u7406\u65b9\u7a0b\u5f0f\u3092\u767a\u898b\u3059\u308b\u300d\u300c\u65e2\u77e5\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u30c7\u30fc\u30bf\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u89e3\u304f\u300d\u3068\u3044\u3063\u305f\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u6b21\u56de\u306e\u6295\u7a3f\u3067\u306f\u3001\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u306e\u5177\u4f53\u7684\u306a\u624b\u6cd5\u3068\u3001\u305d\u308c\u3089\u3092 MATLAB \u3067\u5b9f\u88c5\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3001\u632f\u308a\u5b50\u306e\u4f8b\u3092\u7528\u3044\u3066\u3055\u3089\u306b\u8a73\u3057\u304f\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u3059\u3050\u306b\u8a66\u3057\u3066\u307f\u305f\u3044\u65b9\u306f\u3001<a href=\"https:\/\/github.com\/matlab-deep-learning\/SciML-and-Physics-Informed-Machine-Learning-Examples\" class=\"external\" rel=\"nofollow\" target=\"_blank\">Scientific and Physics-Informed Machine Learning<\/a> \u30ea\u30dd\u30b8\u30c8\u30ea\u3092\u30c1\u30a7\u30c3\u30af\u3057\u3066\u3001\u30b3\u30fc\u30c9\u3092\u78ba\u8a8d\u3057\u306a\u304c\u3089\u5b9f\u9a13\u3092\u59cb\u3081\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<div class=\"overview-image\"><img decoding=\"async\"  class=\"img-responsive\" src=\"https:\/\/blogs.mathworks.com\/deep-learning\/files\/2025\/06\/What_is_PhiML_v2.png\" onError=\"this.style.display ='none';\" \/><\/div>\n<p>\n\u203b\u3053\u306e\u6295\u7a3f\u306f 2025 \u5e74 6 \u6708 23 \u65e5\u306b  Artificial Intelligence \u3078 \u6295\u7a3f\u3055\u308c\u305f\u3082\u306e\u306e\u6284\u8a33\u3067\u3059\u3002<br \/>\n&#8212;<br \/>\nPhysics-informed machine learning\uff08\u7269\u7406\u30a4\u30f3\u30d5\u30a9\u30fc\u30e0\u30c9\u6a5f\u68b0\u5b66\u7fd2\u3001\u7269\u7406\u6cd5\u5247\u3092\u7d44\u307f\u8fbc\u3093\u3060\u6a5f\u68b0\u5b66\u7fd2\uff09\u306f\u3001Scientific Machine&#8230; <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/japan-community\/2025\/09\/24\/what-is-physics-informed-machine-learning-jp\/\">read more >><\/a><\/p>\n","protected":false},"author":159,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[182,175,61],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/posts\/13964"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/users\/159"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/comments?post=13964"}],"version-history":[{"count":9,"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/posts\/13964\/revisions"}],"predecessor-version":[{"id":13991,"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/posts\/13964\/revisions\/13991"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/media?parent=13964"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/categories?post=13964"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/japan-community\/wp-json\/wp\/v2\/tags?post=13964"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}