{"id":6159,"date":"2026-02-17T11:24:11","date_gmt":"2026-02-17T02:24:11","guid":{"rendered":"https:\/\/matlantis.com\/ja\/?post_type=pfnblog&#038;p=6159"},"modified":"2026-02-17T11:25:18","modified_gmt":"2026-02-17T02:25:18","slug":"pfp-descriptors-shapley-explainability","status":"publish","type":"pfnblog","link":"https:\/\/matlantis.com\/ja\/resources\/blog\/pfp-descriptors-shapley-explainability\/","title":{"rendered":"\u3010\u89e3\u8aac\u3011AI\u306f\u306a\u305c\u305d\u3046\u4e88\u6e2c\u3057\u305f\u306e\u304b\uff1f PFP descriptors\u3068Shapley\u5024\u3067\u89e3\u304d\u660e\u304b\u3059\u539f\u5b50\u30ec\u30d9\u30eb\u306e\u89e3\u91c8\u6027"},"content":{"rendered":"\n<p>\u5fdc\u7528\u7269\u7406\u5b66\u4f1a\u6625\u5b63\u5b66\u8853\u8b1b\u6f14\u4f1a\u306eWeb\u4e88\u7a3f\u96c6\u304c\u516c\u958b\u3055\u308c\u3001\u3044\u3088\u3044\u3088\u5b66\u4f1a\u30b7\u30fc\u30ba\u30f3\u306e\u5230\u6765\u3092\u611f\u3058\u307e\u3059\u306d\u3002\u4e88\u7a3f\u96c6\u306e\u63d0\u51fa\u3092\u7d42\u3048\u3066\u767a\u8868\u6e96\u5099\u306b\u8ffd\u308f\u308c\u3066\u3044\u308b\u65b9\u3084\u3001\u516c\u958b\u3055\u308c\u305f\u4e88\u7a3f\u3092\u898b\u3066\u8074\u8b1b\u8a08\u753b\u3092\u7acb\u3066\u3066\u3044\u308b\u65b9\u3082\u591a\u3044\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n\n\n\n<p>\u79c1\u306f\u6628\u5e74\u306e\u7b2c86\u56de\u5fdc\u7528\u7269\u7406\u5b66\u4f1a\u79cb\u5b63\u5b66\u8853\u8b1b\u6f14\u4f1a\u306b\u3066\u3001\u300c<a href=\"https:\/\/pub.confit.atlas.jp\/ja\/event\/jsap2025a\/presentation\/8p-P11-6\" rel=\"nofollow noopener\" target=\"_blank\">PFP descriptors\u3068Shapley\u5024\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u539f\u5b50\u30ec\u30d9\u30eb\u3067\u306e\u4e88\u6e2c\u306e\u89e3\u91c8<\/a>\u300d\u3068\u3044\u3046\u30c6\u30fc\u30de\u3067\u767a\u8868\u3092\u884c\u3044\u307e\u3057\u305f\u3002 \u3042\u308a\u304c\u305f\u3044\u3053\u3068\u306b\u5f53\u65e5\u306f\u591a\u304f\u306e\u65b9\u306b\u3054\u8074\u8b1b\u3044\u305f\u3060\u304d\u3001\u5927\u5909\u306a\u3054\u597d\u8a55\u3092\u3044\u305f\u3060\u304d\u307e\u3057\u305f\u3002\u30de\u30c6\u30ea\u30a2\u30eb\u30ba\u30a4\u30f3\u30d5\u30a9\u30de\u30c6\u30a3\u30af\u30b9\uff08MI\uff09\u5206\u91ce\u306b\u304a\u3044\u3066\u3001\u300cAI\u304c\u306a\u305c\u305d\u3046\u4e88\u6e2c\u3057\u305f\u306e\u304b\u300d\u3068\u3044\u3046\u300c\u89e3\u91c8\u6027\uff08Explainability\uff09\u300d\u3078\u306e\u9700\u8981\u304c\u3044\u304b\u306b\u9ad8\u3044\u304b\u3092\u3001\u808c\u3067\u611f\u3058\u308b\u6a5f\u4f1a\u3068\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u3067\u4eca\u56de\u306f\u3001\u5b66\u4f1a\u30b7\u30fc\u30ba\u30f3\u306e\u5230\u6765\u306b\u5408\u308f\u305b\u3066\u3001\u5f53\u6642\u306e\u767a\u8868\u5185\u5bb9\u3092\u30d9\u30fc\u30b9\u306b\u8a18\u4e8b\u3092\u57f7\u7b46\u3057\u307e\u3057\u305f\u3002\u5b66\u4f1a\u306e\u77ed\u3044\u6642\u9593\u3067\u306f\u4f1d\u3048\u304d\u308c\u306a\u304b\u3063\u305f\u8a73\u7d30\u306a\u80cc\u666f\u3084\u524d\u63d0\u77e5\u8b58\u3082\u542b\u3081\u3001\u4e01\u5be7\u306b\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>1. PFP descriptors\u3068\u306f<\/strong><\/h2>\n\n\n\n<p>\u307e\u305a\u3001\u6a5f\u68b0\u5b66\u7fd2\u306e\u8a18\u8ff0\u5b50\u3068\u3057\u3066\u7528\u3044\u308bPFP descriptors\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002PFP descriptors\u306f\u6c4e\u7528\u6a5f\u68b0\u5b66\u7fd2\u30dd\u30c6\u30f3\u30b7\u30e3\u30ebPFP\u306e\u6700\u7d42\u5c64\u306e\u60c5\u5831\u3092\u51fa\u529b\u3059\u308b\u6a5f\u80fd\u3067\u3059[1]\u3002<strong>\u5404\u539f\u5b50<\/strong>\u306b\u5bfe\u3057\u3001\u305d\u306e\u5468\u8fba\u74b0\u5883\u3092\u8868\u73fe\u3059\u308b256\u6b21\u5143\u306e\u30d9\u30af\u30c8\u30eb\u304c\u5272\u308a\u5f53\u3066\u3089\u308c\u3066\u304a\u308a\u307e\u3059\u3002\u3053\u308c\u3089256\u500b\u306e\u6570\u5024\u306e\u4e00\u3064\u3072\u3068\u3064\u306b\u76f4\u611f\u7684\u306a\u7269\u7406\u7684\u610f\u5473\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001PFP\u306e\u8a08\u7b97\u7cbe\u5ea6\u3092\u652f\u3048\u308b\u9ad8\u5ea6\u306a\u60c5\u5831\u3092\u542b\u3093\u3067\u3044\u307e\u3059\u3002\u3053\u306e\u60c5\u5831\u3092\u8ee2\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u6750\u6599\u306e\u7269\u6027\u3092\u9ad8\u7cbe\u5ea6\u3067\u4e88\u6e2c\u3067\u304d\u308b\u3053\u3068\u304c\u5831\u544a\u3055\u308c\u3066\u3044\u307e\u3059[2, 3]\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"559\" src=\"https:\/\/matlantis.com\/wp-content\/uploads\/2026\/02\/pfp_descs_ja--1024x559.png\" alt=\"Figure 1. PFP descriptors\" class=\"wp-image-6172\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading has-text-align-center\">Figure 1. PFP descriptors<\/h5>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>2. Shapley\u5024\u3068\u306f<\/strong><\/h2>\n\n\n\n<p>\u6b21\u306b\u3001\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u3092\u89e3\u91c8\u3059\u308b\u969b\u306e\u6838\u5fc3\u3068\u306a\u308bShapley\u5024\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u307e\u3059\u3002Shapley\u5024\u306f\u3001\u30b2\u30fc\u30e0\u7406\u8ad6\u3067\u7528\u3044\u3089\u308c\u308b\u8003\u3048\u65b9\u3067\u3001\u30c1\u30fc\u30e0\u5168\u4f53\u3067\u5f97\u3089\u308c\u305f\u5229\u5f97\u3092\u3001\u5404\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u8ca2\u732e\u5ea6\u306b\u5fdc\u3058\u3066\u5206\u914d\u3059\u308b\u305f\u3081\u306e\u8a08\u7b97\u65b9\u6cd5\u3067\u3059\u3002 \u4e2d\u5fc3\u7684\u306a\u30a2\u30a4\u30c7\u30a2\u306f\u3001\u201d\u3082\u3057\u305d\u306e\u4eba\u304c\u30c1\u30fc\u30e0\u306b\u53c2\u52a0\u3057\u305f\u3089\u3001\u5168\u4f53\u306e\u5229\u76ca\u306f\u3069\u308c\u304f\u3089\u3044\u5897\u3048\u305f\u304b\uff1f\u201d\u3092\u3001\u3042\u3089\u3086\u308b\u30d1\u30bf\u30fc\u30f3\u3067\u8003\u3048\u3001\u305d\u306e\u5e73\u5747\u5024\u3092\u305d\u306e\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u8ca2\u732e\u5ea6\uff08\u53d6\u308a\u5206\uff09\u3068\u3059\u308b\u3001\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2-1. \u5177\u4f53\u4f8b<\/strong><\/h3>\n\n\n\n<p>\u6b21\u306e\u5177\u4f53\u4f8b\u3092\u898b\u306a\u304c\u3089\u8aac\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002 A\u3001B\u3001C\u306e3\u4eba\u306e\u30d7\u30ec\u30a4\u30e4\u30fc\u304c\u304a\u308a\u3001\u53c2\u52a0\u3059\u308b\u7d44\u307f\u5408\u308f\u305b\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u5229\u5f97\u304c Table 1 \u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u30013\u4eba\u5168\u54e1\u304c\u53c2\u52a0\u3057\u3066\u5f97\u3089\u308c\u305f\u5229\u5f97\u3092\u3001\u5404\u30e1\u30f3\u30d0\u30fc\u306b\u3069\u306e\u3088\u3046\u306b\u5206\u914d\u3059\u308c\u3070\u3088\u3044\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n\n\n\n<h5 class=\"wp-block-heading has-text-align-center\">Table 1. \u30d7\u30ec\u30a4\u30e4\u30fc\u3068\u5229\u5f97\u306e\u95a2\u4fc2<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>\u53c2\u52a0\u30d7\u30ec\u30a4\u30e4\u30fc<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>\u5229\u5f97<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u8ab0\u3082\u53c2\u52a0\u3057\u306a\u3044<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">A<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">B<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">C<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">A, B<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">A, C<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">B, C<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">A, B, C<\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u3053\u3053\u3067\u3001\u3042\u308b\u30e1\u30f3\u30d0\u30fc\u306e\u8ca2\u732e\u5ea6\u3092\u201d\u305d\u306e\u30d7\u30ec\u30a4\u30e4\u30fc\u304c\u30c1\u30fc\u30e0\u306b\u52a0\u308f\u3063\u305f\u3053\u3068\u3067\u3001\u5229\u5f97\u304c\u3069\u308c\u3060\u3051\u5897\u3048\u305f\u304b\u201d\u3092\u57fa\u6e96\u306b\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u5897\u3048\u308b\u5229\u5f97\u306e\u91cf\u306f\u201d\u65e2\u306b\u8ab0\u304c\u30c1\u30fc\u30e0\u306b\u5165\u3063\u3066\u3044\u308b\u304b\u201d\u306b\u3088\u3063\u3066\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8ab0\u3082\u3044\u306a\u3044\uff08\u5229\u5f97: 0\uff09\u3068\u3053\u308d\u306bA\u304c\u53c2\u52a0\u3057\u305f\u5834\u5408\uff08\u5229\u5f97: 1\uff09\uff1aA\u306e\u8ca2\u732e\u5ea6\u306f 1<\/li>\n\n\n\n<li>\u65e2\u306bB\u304c\u3044\u308b\uff08\u5229\u5f97: 2\uff09\u3068\u3053\u308d\u306bA\u304c\u53c2\u52a0\u3057\u305f\u5834\u5408\uff08\u5229\u5f97: 6\uff09\uff1aA\u306e\u8ca2\u732e\u5ea6\u306f 4&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u65e2\u306b\u5165\u3063\u3066\u3044\u308b\u30e1\u30f3\u30d0\u30fc\u306b\u3088\u3063\u3066\u3001\u5897\u3048\u308b\u5229\u5f97\u306e\u91cf\u306f\u5909\u308f\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u65e2\u306b\u5165\u3063\u3066\u3044\u308b\u30e1\u30f3\u30d0\u30fc\u306e\u5168\u30d1\u30bf\u30fc\u30f3\u3092\u8003\u3048\u3001\u5e73\u5747\u3059\u308b\u3053\u3068\u3067\u5404\u30e1\u30f3\u30d0\u30fc\u306e\u8ca2\u732e\u5ea6\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u7684\u306a\u8a08\u7b97\u306fTable2\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001A\u2192B\u2192C\u3068\u53c2\u52a0\u3057\u305f\u5834\u5408\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8ab0\u3082\u3044\u306a\u3044\uff08\u5229\u5f97: 0\uff09\u3068\u3053\u308d\u306bA\u304c\u53c2\u52a0\u3057\u305f\u5834\u5408\uff08\u5229\u5f97: 1\uff09\uff1aA\u306e\u8ca2\u732e\u5ea6\u306f1<\/li>\n\n\n\n<li>\u65e2\u306bA\u304c\u3044\u308b\uff08\u5229\u5f97: 1\uff09\u3068\u3053\u308d\u306bB\u304c\u53c2\u52a0\u3057\u305f\u5834\u5408\uff08\u5229\u5f97: 6\uff09\uff1aB\u306e\u8ca2\u732e\u5ea6\u306f5<\/li>\n\n\n\n<li>\u65e2\u306bA,B\u304c\u3044\u308b\uff08\u5229\u5f97: 6\uff09\u3068\u3053\u308d\u306bC\u304c\u53c2\u52a0\u3057\u305f\u5834\u5408\uff08\u5229\u5f97: 15\uff09\uff1aC\u306e\u8ca2\u732e\u5ea6\u306f9&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5168\u30d1\u30bf\u30fc\u30f3\u306b\u3064\u3044\u3066\u8a08\u7b97\u3057\u3001\u305d\u308c\u3089\u3092\u5e73\u5747\u3057\u305f\u7d50\u679c\u304c\u3001\u5404\u30e1\u30f3\u30d0\u30fc\u306eShapley\u5024(Table2\u306e\u6700\u4e0b\u884c)\u3067\u3059\u3002\u8a08\u7b97\u7d50\u679c\u304b\u3089\u3082\u308f\u304b\u308b\u3088\u3046\u306b\u3001Shapley\u5024\u306b\u306f\u201d\u5404\u30e1\u30f3\u30d0\u30fc\u306e\u8ca2\u732e\u5ea6\u306e\u5408\u8a08\u304c\u3001\u5168\u30e1\u30f3\u30d0\u30fc\u53c2\u52a0\u6642\u306e\u7dcf\u5229\u5f97\u3068\u4e00\u81f4\u3059\u308b\u201d\u3068\u3044\u3046\u3001\u5206\u914d\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u90fd\u5408\u306e\u826f\u3044\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading has-text-align-center\">Table 2. \u5404\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u8ca2\u732e\u5ea6<\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>\u53c2\u52a0\u9806<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>A\u306e\u8ca2\u732e\u5ea6<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>B\u306e\u8ca2\u732e\u5ea6<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>C\u306e\u8ca2\u732e\u5ea6<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">A \u2192 B \u2192 C<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">A \u2192 C \u2192 B<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">B \u2192 A \u2192 C<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">B \u2192 C \u2192 A<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">C \u2192 A \u2192 B<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">8<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">C \u2192 B \u2192 A<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u5e73\u5747<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2-2. <\/strong><strong>\u4e00\u822c\u5316\u3068\u8fd1\u4f3c\u624b\u6cd5<\/strong><\/h3>\n\n\n\n<p>\u4e0a\u8a18\u64cd\u4f5c\u3092\u4e00\u822c\u5316\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\phi_i\\ =\\ \\sum_{S\\ \\subseteq\\ N\\ \\setminus\\ \\{i\\}}\\ \\frac{|S|!\\ (|N|\\ -\\ |S|\\ -\\ 1)!}{|N|!}\\ (v(S\\ \\cup\\ \\{i\\})\\ -\\ v(S))\\]<script src=\"https:\/\/matlantis.com\/wp-includes\/js\/dist\/hooks.min.js?ver=dd5603f07f9220ed27f1\" id=\"wp-hooks-js\"><\/script>\n<script src=\"https:\/\/matlantis.com\/wp-includes\/js\/dist\/i18n.min.js?ver=c26c3dc7bed366793375\" id=\"wp-i18n-js\"><\/script>\n<script id=\"wp-i18n-js-after\">\nwp.i18n.setLocaleData( { 'text direction\\u0004ltr': [ 'ltr' ] } );\n\/\/# sourceURL=wp-i18n-js-after\n<\/script>\n<script  async src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-MML-AM_CHTML\" id=\"mathjax-js\"><\/script>\n<\/div>\n\n\n\n<p><em>\u03a6<sub>i<\/sub><\/em>\u306f\u30d7\u30ec\u30a4\u30e4\u30fci\u306e\u8ca2\u732e\u5ea6\u3001<em>N<\/em>\u306f\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u5168\u4f53\u96c6\u5408\u3001<em>S<\/em>\u306f\u90e8\u5206\u96c6\u5408\u3001|<em>S<\/em>|\u306f\u90e8\u5206\u96c6\u5408\u306b\u5165\u3063\u3066\u3044\u308b\u30d7\u30ec\u30a4\u30e4\u30fc\u6570\u3001|<em>N<\/em>|\u306f\u5168\u30d7\u30ec\u30a4\u30e4\u30fc\u6570\u3001<em>\u03bd<\/em>\u306f\u53c2\u52a0\u3057\u305f\u30d7\u30ec\u30a4\u30e4\u30fc\u304b\u3089\u5229\u5f97\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u4fa1\u5024\u95a2\u6570\u3067\u3059\u3002Shapley\u5024\u306f\u5404\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u8ca2\u732e\u5ea6\u306e\u5408\u8a08\u304c\u5229\u5f97\u3068\u4e00\u81f4\u3059\u308b\u3068\u3044\u3046\u826f\u3044\u6027\u8cea\u3092\u6709\u3057\u307e\u3059\u304c\u3001\u5168\u30d7\u30ec\u30a4\u30e4\u30fc\u6570\u304cn\u306e\u3068\u304d\u3001\u8a08\u7b97\u30aa\u30fc\u30c0\u30fc\u306f<em>O(2<sup>n<\/sup>)<\/em>\u3068\u975e\u5e38\u306b\u9ad8\u3044\u3067\u3059\u3002\u305d\u3053\u3067Shapley\u5024\u3092\u4ee5\u4e0b\u306eShapley Kernel\u3067\u91cd\u307f\u4ed8\u3051\u305f\u7dda\u5f62\u56de\u5e30\u3067\u8fd1\u4f3c\u3059\u308b\u624b\u6cd5\u304c\u63d0\u6848\u3055\u308c\u307e\u3057\u305f[4]\u3002<\/p>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\pi(z&#8217;) = \\frac{M &#8211; 1}{\\binom{M}{|z&#8217;|} |z&#8217;| (M &#8211; |z&#8217;|)}\\]<\/div>\n\n\n\n<p><em>z&#8217;<\/em>\u306f\u5404\u30d7\u30ec\u30a4\u30e4\u30fc\u304c\u53c2\u52a0\u3057\u3066\u3044\u308b\u304b\u3092\u8868\u3059one hot vector\u3001<em>M<\/em>\u306f\u5168\u30d7\u30ec\u30a4\u30e4\u30fc\u6570\u3067\u3059\u3002Shapley Kernel\u3067\u8fd1\u4f3c\u3067\u304d\u308b\u3053\u3068\u306e\u8a3c\u660e\u306f\u8ad6\u6587\u3092\u3054\u53c2\u7167\u304f\u3060\u3055\u3044\u3002(\u4eca\u56de\u306e\u4f8b\u3092Shapley Kernel\u3067\u8a08\u7b97\u3059\u308bpython\u30b3\u30fc\u30c9\u306f\u4ed8\u9332\u306b\u63b2\u8f09\u3057\u3066\u304a\u308a\u307e\u3059\u3002\u3054\u6d3b\u7528\u304f\u3060\u3055\u3044\u3002)<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>3. <\/strong><strong>PFP descriptors\u3068Shapley\u5024\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u89e3\u91c8<\/strong><\/h2>\n\n\n\n<p>\u3067\u306f\u3001\u3053\u308c\u3089\u3092\u7d44\u307f\u5408\u308f\u305b\u3066\u3001\u3069\u306e\u3088\u3046\u306b\u6750\u6599\u7279\u6027\u3092\u89e3\u91c8\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u305d\u3057\u3066\u3001\u306a\u305cPFP descriptors\u3092\u4f7f\u3046\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u305d\u308c\u306f\u3001PFP descriptors\u306b\u306f\u3001\u901a\u5e38\u306e\u6750\u6599\u8a18\u8ff0\u5b50\u306b\u306f\u306a\u3044\u5927\u304d\u306a\u30e1\u30ea\u30c3\u30c8\u304c\u3042\u308b\u304b\u3089\u3067\u3059<\/p>\n\n\n\n<p>\u901a\u5e38\u306e\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u3067\u306f\u3001\u7279\u5b9a\u306e\u7279\u5fb4\u91cf\u3092\u8003\u616e\u3057\u305f\u304f\u306a\u3044\u5834\u5408\u306b\u3082\u305d\u306e\u7279\u5fb4\u91cf\u3092\u7121\u8996\u3057\u3066\u3001\u5165\u529b\u3057\u306a\u3044\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001PFP descriptors\u306f\u201d\u539f\u5b50\u3054\u3068\u306e\u7279\u5fb4\u91cf\u201d\u3067\u3059\u3002\u5404\u539f\u5b50\u306e\u7279\u5fb4\u91cf\u3092\u5408\u8a08\u306a\u3069\u306e\u6f14\u7b97\u306b\u3088\u3063\u3066\u96c6\u7d04\uff08readout\uff09\u3057\u3001\u5206\u5b50\u5168\u4f53\u306e\u8a18\u8ff0\u5b50\u306b\u5909\u63db\u3057\u3066\u5229\u7528\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u3042\u308b\u539f\u5b50\u306e\u7279\u5fb4\u91cf\u3092\u7121\u8996(mask)\u3057\u3066\u3082\u3001readout\u5f8c\u306e\u30d9\u30af\u30c8\u30eb\u306e\u6b21\u5143\u6570\u306f\u5909\u308f\u3089\u305a\u3001\u305d\u306e\u307e\u307e\u30e2\u30c7\u30eb\u306b\u5165\u529b\u3057\u3066\u4e88\u6e2c\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059 \u3002<\/p>\n\n\n\n<p>\u3053\u308c\u306b\u3088\u308a\u3001\u201d\u3042\u308b\u539f\u5b50\u304c\u5b58\u5728\u3057\u306a\u3044\u3068\u304d\u306e\u4e88\u6e2c\u5024\u201d\u3092\u64ec\u4f3c\u7684\u306b\u4f5c\u308a\u51fa\u3057\u3001\u539f\u5b50\u3054\u3068\u306eShapley\u5024\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u201d\u3069\u306e\u539f\u5b50\u304c\u4e88\u6e2c\u5024\u306b\u3069\u308c\u304f\u3089\u3044\u5bc4\u4e0e\u3057\u305f\u304b\u201d\u3092\u5b9a\u91cf\u7684\u306b\u793a\u305b\u308b\u306e\u3067\u3059 \u3002<\/p>\n\n\n\n<p>PFP descriptors\u306f\u4e8b\u524d\u306b\u5927\u91cf\u306e\u30c7\u30fc\u30bf\u3092\u5b66\u7fd2\u3055\u305b\u305f\u30e2\u30c7\u30eb\u306e\u6f5c\u5728\u5909\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u6750\u6599\u7279\u6027\u3092\u9ad8\u7cbe\u5ea6\u306b\u4e88\u6e2c\u53ef\u80fd\u306a\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6a5f\u68b0\u5b66\u7fd2\u30e2\u30c7\u30eb\u306e\u4e88\u6e2c\u3092\u89e3\u91c8\u3059\u308b\u969b\u3001\u4e88\u6e2c\u7cbe\u5ea6\u304c\u4f4e\u3044\u30e2\u30c7\u30eb\u3092\u89e3\u91c8\u3057\u3066\u3082\u59a5\u5f53\u306a\u7d50\u679c\u306f\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001PFP descriptors\u3068Shapley\u5024\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3067\u3001\u5316\u5b66\u7684\u306b\u59a5\u5f53\u306a\u89e3\u91c8\u3092\u5f97\u3084\u3059\u304f\u306a\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u89e3\u6790\u4e8b\u4f8b\uff1a3,4-\u30b8\u30e1\u30c1\u30eb\u30d5\u30a7\u30ce\u30fc\u30eb\u306e\u6c34\u6eb6\u89e3\u5ea6<\/strong><br><\/h3>\n\n\n\n<p>\u5b9f\u969b\u306b\u3001\u6709\u6a5f\u5206\u5b50\u306e\u6c34\u6eb6\u89e3\u5ea6\u4e88\u6e2c\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3057\u30013,4-\u30b8\u30e1\u30c1\u30eb\u30d5\u30a7\u30ce\u30fc\u30eb\u306e\u6c34\u6eb6\u89e3\u5ea6\u4e88\u6e2c\u3092\u89e3\u91c8\u3057\u305f\u7d50\u679c\u3092Figure2\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u8d64\u304c\u6b63\u306b\u5bc4\u4e0e\u3001\u9752\u304c\u8ca0\u306b\u5bc4\u4e0e\u3001\u8272\u306e\u6fc3\u3055\u304c\u5bc4\u4e0e\u306e\u5927\u304d\u3055\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u30e1\u30c1\u30eb\u57fa\u3084\u30d9\u30f3\u30bc\u30f3\u74b0\u304c\u9752\u304f\u3001\u6c34\u9178\u57fa\u304c\u8d64\u304f\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304b\u3089\u3001\u65e2\u77e5\u306e\u5316\u5b66\u7684\u77e5\u898b\u3068\u6574\u5408\u3059\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304a\u308a\u307e\u3059\u3002Shapley\u5024\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u539f\u5b50\u3054\u3068\u3067\u306f\u306a\u304f\u3001\u5b98\u80fd\u57fa\u3054\u3068\u306bmask\u3059\u308b\u3053\u3068\u3067\u3001\u5b98\u80fd\u57fa\u30ec\u30d9\u30eb\u3067\u306e\u89e3\u91c8\u3092\u884c\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"343\" src=\"https:\/\/matlantis.com\/wp-content\/uploads\/2026\/02\/blog_pfp-descriptors-shapley-explainability_fig2_ja-1024x343.png\" alt=\"Figure 2. 3,4-\u30b8\u30e1\u30c1\u30eb\u30d5\u30a7\u30ce\u30fc\u30eb\u306e\u6c34\u6eb6\u89e3\u5ea6\u4e88\u6e2c\u306b\u5bfe\u3059\u308b\u89e3\u91c8\" class=\"wp-image-6171\"\/><\/figure>\n\n\n\n<h5 class=\"wp-block-heading has-text-align-center\">Figure 2. 3,4-\u30b8\u30e1\u30c1\u30eb\u30d5\u30a7\u30ce\u30fc\u30eb\u306e\u6c34\u6eb6\u89e3\u5ea6\u4e88\u6e2c\u306b\u5bfe\u3059\u308b\u89e3\u91c8<\/h5>\n\n\n\n<p><\/p>\n\n\n\n<p>\u3053\u306e\u624b\u6cd5\u306eExample\u30b3\u30fc\u30c9\u306fMatlantis\u74b0\u5883\u3067\u516c\u958b\u3057\u3066\u304a\u308a\u307e\u3059\u306e\u3067\u3001\u305c\u3072\u304a\u8a66\u3057\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u88dc\u8db3\uff1ashap\u30d1\u30c3\u30b1\u30fc\u30b8\u306e\u624b\u6cd5\u3068\u306f\u306a\u306b\u304c\u9055\u3046\u306e\u304b\uff1f<\/strong>&nbsp;<\/h3>\n\n\n\n<p>shap\u30d1\u30c3\u30b1\u30fc\u30b8 [5]\u3067\u306f\u3001\u7279\u5fb4\u91cf\u304c\u5b58\u5728\u3057\u306a\u3044\u72b6\u614b\u3092\u5468\u8fba\u5316\u306b\u3088\u3063\u3066\u8fd1\u4f3c\u3057\u307e\u3059\u304c\u3001\u3053\u308c\u306b\u306f\u8a08\u7b97\u30b3\u30b9\u30c8\u3068\u8fd1\u4f3c\u8aa4\u5dee\u306e\u554f\u984c\u304c\u3042\u308a\u307e\u3059\u3002PFP descriptors\u3092\u7528\u3044\u305f\u4eca\u56de\u306e\u624b\u6cd5\u3067\u306f\u3001\u5404\u539f\u5b50\u3092\u76f4\u63a5mask\u3067\u304d\u308b\u305f\u3081\u3001\u5468\u8fba\u5316\u304c\u4e0d\u8981\u3067\u3001\u8a08\u7b97\u30b3\u30b9\u30c8\u3082\u8aa4\u5dee\u3082\u6291\u3048\u3089\u308c\u308b\u3068\u3044\u3046\u5229\u70b9\u304c\u3042\u308a\u307e\u3059 \u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>4. <\/strong><strong>\u4eca\u5e74\u306e\u5fdc\u7528\u7269\u7406\u5b66\u4f1a \u6625\u5b63\u5b66\u8853\u8b1b\u6f14\u4f1a\u306b\u3064\u3044\u3066<\/strong><\/h2>\n\n\n\n<p>\u3053\u3053\u307e\u3067\u79c1\u306e\u6628\u5e74\u306e\u767a\u8868\u5185\u5bb9\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u4eca\u5e74\u306e\u5fdc\u7528\u7269\u7406\u5b66\u4f1a \u6625\u5b63\u5b66\u8853\u8b1b\u6f14\u4f1a\u306b\u304a\u304d\u307e\u3057\u3066\u3082\u3001\u5f0a\u793e\u3088\u308a\u4ee5\u4e0b\u306e4\u4ef6\u306e\u5b66\u8853\u767a\u8868\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u306e\u767a\u8868\u306f\u3001\u76f8\u56f3\u3001\u96fb\u6c60\u6750\u6599\u3001\u534a\u5c0e\u4f53\u6750\u6599\u3001\u9175\u7d20\u53cd\u5fdc\u3068\u3001\u305d\u308c\u305e\u308c\u7570\u306a\u308b\u30bb\u30c3\u30b7\u30e7\u30f3\u306b\u8de8\u3063\u3066\u304a\u308a\u307e\u3059\u3002\u6c4e\u7528\u6a5f\u68b0\u5b66\u7fd2\u529b\u5834\u304c\u3001\u7269\u7406\u3001\u6750\u6599\u304b\u3089\u30d0\u30a4\u30aa\u307e\u3067\u306e\u5e45\u5e83\u3044\u30c6\u30fc\u30de\u306b\u5bfe\u3057\u3066\u9069\u7528\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u4e8b\u4f8b\u3068\u3057\u3066\u3054\u89a7\u3044\u305f\u3060\u3051\u308c\u3070\u5e78\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p><strong>\u3010\u5f0a\u793e\u767a\u8868\u4e00\u89a7\u3011<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/pub.confit.atlas.jp\/ja\/event\/jsap2026s\/presentation\/16a-W8E_308-1\" rel=\"nofollow noopener\" target=\"_blank\">\u6c4e\u7528\u6a5f\u68b0\u5b66\u7fd2\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092\u4f7f\u7528\u3057\u305f\u4e09\u5143\u7cfb\u6e29\u5ea6\u76f8\u56f3\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/a><\/p>\n\n\n\n<p>&nbsp;\u3007\u5c0f\u9df9 \u6d69\u6bc5\uff08Matlantis\u682a\u5f0f\u4f1a\u793e\uff09<\/p>\n\n\n\n<p><a href=\"https:\/\/pub.confit.atlas.jp\/ja\/event\/jsap2026s\/presentation\/18p-S2_204-6\" rel=\"nofollow noopener\" target=\"_blank\">\u6c4e\u7528\u6a5f\u68b0\u5b66\u7fd2\u529b\u5834\u3092\u7528\u3044\u305fLi\u30a4\u30aa\u30f3\u96fb\u6c60\u6b63\u6975\u6750\u6599\u306e\u69cb\u9020\u5b89\u5b9a\u6027\u304a\u3088\u3073\u4e0d\u53ef\u9006\u5909\u5316\u306e\u89e3\u6790&nbsp;<\/a><\/p>\n\n\n\n<p>\u3007\u677e\u672c \u7693\u592a\u3001\u5e73\u4e95 \u8cb4\u88d5\uff08Matlantis\u682a\u5f0f\u4f1a\u793e\uff09<\/p>\n\n\n\n<p><a href=\"https:\/\/pub.confit.atlas.jp\/ja\/event\/jsap2026s\/presentation\/15p-70A_101-11\" rel=\"nofollow noopener\" target=\"_blank\">\u6c4e\u7528\u6a5f\u68b0\u5b66\u7fd2\u529b\u5834\u3092\u7528\u3044\u305fALD precursor\u306e\u5438\u7740\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u8a08\u7b97\u306b\u57fa\u3065\u304f\u84b8\u6c17\u5727\u4e88\u6e2c\u30e2\u30c7\u30eb\u306e\u691c\u8a0e&nbsp;<\/a><\/p>\n\n\n\n<p>\u3007\u6d45\u91ce \u88d5\u4ecb\uff08Matlantis\u682a\u5f0f\u4f1a\u793e\uff09<\/p>\n\n\n\n<p><a href=\"https:\/\/pub.confit.atlas.jp\/ja\/event\/jsap2026s\/presentation\/15p-WL1_301-3\" rel=\"nofollow noopener\" target=\"_blank\">\u6c4e\u7528\u6a5f\u68b0\u5b66\u7fd2\u529b\u5834\u3092\u7528\u3044\u305f\u9175\u7d20\u53cd\u5fdc\u6a5f\u69cb\u3068\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u89e3\u6790<\/a><\/p>\n\n\n\n<p>\u3007\u5c71\u5185 \u4ec1\u55ac\uff08Matlantis\u682a\u5f0f\u4f1a\u793e\uff09<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u4eca\u5e74\u306f\u5f0a\u793e\u4ee3\u8868\u306e\u5ca1\u91ce\u539f\u304c\u4e00\u822c\u516c\u958b\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u8b1b\u6f14\u3044\u305f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/pub.confit.atlas.jp\/ja\/event\/jsap2026s\/presentation\/16p-WL1_401-2\" rel=\"nofollow noopener\" target=\"_blank\">\u534a\u5c0e\u4f53\u306e\u9032\u5316\u304c\u751f\u307f\u51fa\u3059\u77e5\u80fd<\/a><\/p>\n\n\n\n<p>\u3007\u5ca1\u91ce\u539f \u5927\u8f14\uff08Preferred Networks \/ Matlantis\uff09<\/p>\n\n\n\n<p>\u5f53\u65e5\u3001\u4f1a\u5834\u3067\u7686\u69d8\u3068\u8b70\u8ad6\u3055\u305b\u3066\u3044\u305f\u3060\u3051\u308b\u3053\u3068\u3092\u697d\u3057\u307f\u306b\u3057\u3066\u304a\u308a\u307e\u3059\uff01<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u4ed8\u9332\uff1aPython\u306b\u3088\u308bShapley Kernel\u306e\u8a08\u7b97\u4f8b<\/strong><\/h3>\n\n\n\n<p>\u672c\u6587\u4e2d\u3067\u7d39\u4ecb\u3057\u305f\u3001Shapley Kernel\u3092\u7528\u3044\u3066\u30d7\u30ec\u30a4\u30e4\u30fc\u306e\u8ca2\u732e\u5ea6\u3092\u8a08\u7b97\u3059\u308bPython\u30b3\u30fc\u30c9\u3067\u3059\u3002\u3053\u3061\u3089\u3092\u5b9f\u884c\u3044\u305f\u3060\u304f\u3053\u3068\u3067\u3001Shapley Kernel\u304cShapley\u5024\u3092\u8fd1\u4f3c\u3067\u304d\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import itertools\nimport math\nimport numpy as np\n\ncoalition_to_value = {\n    (0, 0, 0): 0,\n    (1, 0, 0): 1,  # A\n    (0, 1, 0): 2,  # B\n    (0, 0, 1): 3,  # C\n    (1, 1, 0): 6,  # A, B\n    (1, 0, 1): 7,  # A, C\n    (0, 1, 1): 8,  # B, C\n    (1, 1, 1): 15, # A, B, C\n}\n\nM = 3\n\ncoalitions_binary = list(itertools.product(&#91;0, 1], repeat=M))\nX = np.array(coalitions_binary)\n\ny = np.array(&#91;coalition_to_value&#91;c] for c in coalitions_binary])\n\ndef shapley_kernel_weight(M, s):\n    if s == 0 or s == M:\n        return 1e9 \n    else:\n        combinations_term = math.comb(M, s)\n        denominator = combinations_term * s * (M - s)\n        kernel_weight = (M - 1) \/ denominator\n        return kernel_weight\n\nkernel_weights = np.array(&#91;shapley_kernel_weight(M, np.sum(c)) for c in coalitions_binary])\n\nX_matrix = np.hstack((np.ones((X.shape&#91;0], 1)), X))\n    \nsqrt_weights = np.sqrt(kernel_weights)\nX_weighted = X_matrix * sqrt_weights&#91;:, np.newaxis]\ny_weighted = y * sqrt_weights\n\ncoeffs, _, _, _ = np.linalg.lstsq(X_weighted, y_weighted, rcond=None)\n\nshapley_values = coeffs&#91;1:]\n\nprint(f\"{shapley_values=}\")<\/code><\/pre>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>References<\/strong><\/h3>\n\n\n\n<p>[1] <a href=\"http:\/\/, https:\/\/matlantis.com\/ja\/product\/pfp-descriptors\/\">PFP Descriptors<\/a>, (2026\u5e741\u670830\u65e5\u95b2\u89a7)<\/p>\n\n\n\n<p>[2] Z. Mao <em>et. al.<\/em>, <em>npj Comput. Mater<\/em>.&nbsp; <strong>10<\/strong>, 265 (2024).<\/p>\n\n\n\n<p>[3]<a href=\"https:\/\/tech.preferred.jp\/en\/blog\/the-power-of-pfp-descriptors-enhancing-prediction-tasks-with-pre-trained-neural-network-potentials\/\" rel=\"nofollow noopener\" target=\"_blank\"> The Power of PFP Descriptors: Enhancing Prediction Tasks with Pre-trained Neural Network Potentials,<\/a>(2026\u5e741\u670827\u65e5\u95b2\u89a7)<\/p>\n\n\n\n<p>[4] S. M. Lundberg, S. I. Lee., <em>Adv. Neural Inf. Process. Syst. <\/em><strong>30<\/strong> (2017).<\/p>\n\n\n\n<p>[5] <a href=\"https:\/\/github.com\/shap\/shap\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/github.com\/shap\/shap<\/a> (2026\u5e741\u670830\u65e5\u95b2\u89a7)<\/p>\n","protected":false},"featured_media":6202,"template":"","blog_tag":[130,118,114],"class_list":["post-6159","pfnblog","type-pfnblog","status-publish","has-post-thumbnail","hentry","blog_tag-materials-informatics","blog_tag-explainer","blog_tag-computational-chemistry"],"acf":[],"_links":{"self":[{"href":"https:\/\/matlantis.com\/ja\/wp-json\/wp\/v2\/pfnblog\/6159","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matlantis.com\/ja\/wp-json\/wp\/v2\/pfnblog"}],"about":[{"href":"https:\/\/matlantis.com\/ja\/wp-json\/wp\/v2\/types\/pfnblog"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/matlantis.com\/ja\/wp-json\/wp\/v2\/media\/6202"}],"wp:attachment":[{"href":"https:\/\/matlantis.com\/ja\/wp-json\/wp\/v2\/media?parent=6159"}],"wp:term":[{"taxonomy":"blog_tag","embeddable":true,"href":"https:\/\/matlantis.com\/ja\/wp-json\/wp\/v2\/blog_tag?post=6159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}