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class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u8bed\u8a00\u6a21\u578b\u5728\u8868\u793a\u661f\u671f\u548c\u6708\u4efd\u65f6\u5f62\u6210\u5706\u73af\uff1b\u5b66\u4e60\u6570\u5b66\u8fd0\u7b97\u7684Transformer\u51fa\u73b0\u5468\u671f\u6027\u51e0\u4f55\u7ed3\u6784\uff1b\u6838\u8d28\u91cf\u9884\u6d4b\u6a21\u578b\u4e2d\uff0c\u8d28\u5b50\u6570\u548c\u4e2d\u5b50\u6570\u7684\u5d4c\u5165\u5411\u91cf\u751a\u81f3\u5f62\u6210\u4e86\u7c7b\u4f3cDNA\u7684\u53cc\u87ba\u65cb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u53d1\u73b0\u6b63\u5728\u63a8\u52a8\u4e00\u4e2a\u91cd\u8981\u7814\u7a76\u65b9\u5411\u7684\u53d1\u5c55\uff1a<strong>\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff08Geometry of Neural Representations\uff09<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u6838\u5fc3\u76ee\u6807\u662f\u901a\u8fc7\u7814\u7a76\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u4fe1\u606f\u7684\u51e0\u4f55\u7ec4\u7ec7\u65b9\u5f0f\uff0c\u8fdb\u4e00\u6b65\u7406\u89e3\u6a21\u578b\u5b66\u5230\u4e86\u4ec0\u4e48\u3001\u5982\u4f55\u8ba1\u7b97\uff0c\u4ee5\u53ca\u4e3a\u4ec0\u4e48\u80fd\u591f\u6cdb\u5316\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31-1024x1024.jpg\" alt=\"\" class=\"wp-image-7420\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31-1024x1024.jpg 1024w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31-150x150.jpg 150w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31-300x300.jpg 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31-120x120.jpg 120w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31-768x768.jpg 768w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\uff1a\u6f5c\u7a7a\u95f4\u56fe\u8c31.jpg 1254w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u4e3a\u4ec0\u4e48\u5b58\u5728\u201c\u51e0\u4f55\u7a7a\u95f4\u201d\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u795e\u7ecf\u7f51\u7edc\u5904\u7406\u4fe1\u606f\u65f6\uff0c\u901a\u5e38\u9700\u8981\u5c06\u8f93\u5165\u8f6c\u6362\u4e3a\u9ad8\u7ef4\u5411\u91cf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u4e00\u4e2a\u8bcd\u8bed\u53ef\u4ee5\u88ab\u8868\u793a\u4e3a\u6570\u767e\u7ef4\u751a\u81f3\u6570\u5343\u7ef4\u7684\u5411\u91cf\uff1b\u4e00\u5e45\u56fe\u50cf\u7ecf\u8fc7\u795e\u7ecf\u7f51\u7edc\u5904\u7406\u540e\uff0c\u4e5f\u4f1a\u5f62\u6210\u4e00\u4e2a\u9ad8\u7ef4\u7279\u5f81\u5411\u91cf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u5411\u91cf\u6240\u5728\u7684\u7a7a\u95f4\uff0c\u901a\u5e38\u88ab\u79f0\u4e3a\u8868\u5f81\u7a7a\u95f4\uff08Representation Space\uff09\u3002\u5728\u6d89\u53ca\u5185\u90e8\u9690\u85cf\u53d8\u91cf\u6216\u5d4c\u5165\u65f6\uff0c\u4e5f\u7ecf\u5e38\u4f7f\u7528\u6f5c\u5728\u7a7a\u95f4\uff08Latent Space\uff09\u8fd9\u4e00\u672f\u8bed\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u867d\u7136\u4eba\u7c7b\u65e0\u6cd5\u76f4\u63a5\u89c2\u5bdf\u51e0\u767e\u7ef4\u3001\u51e0\u5343\u7ef4\u7a7a\u95f4\uff0c\u4f46\u8fd9\u4e9b\u5411\u91cf\u4e4b\u95f4\u4ecd\u7136\u5b58\u5728\u8ddd\u79bb\u3001\u65b9\u5411\u3001\u89d2\u5ea6\u548c\u5176\u4ed6\u6570\u5b66\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u67d0\u4e9b\u5bf9\u8c61\u5177\u6709\u76f8\u4f3c\u5c5e\u6027\uff0c\u5b83\u4eec\u5728\u8868\u5f81\u7a7a\u95f4\u4e2d\u53ef\u80fd\u76f8\u4e92\u63a5\u8fd1\uff1b\u5982\u679c\u5bf9\u8c61\u4e4b\u95f4\u5b58\u5728\u5468\u671f\u6027\u3001\u5c42\u6b21\u6027\u6216\u5bf9\u79f0\u6027\uff0c\u5176\u5185\u90e8\u8868\u793a\u4e5f\u53ef\u80fd\u5f62\u6210\u76f8\u5e94\u7684\u51e0\u4f55\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u661f\u671f\u4e00\u81f3\u661f\u671f\u65e5\u662f\u4e00\u7ec4\u5468\u671f\u6027\u6982\u5ff5\u3002\u5047\u5982\u4f7f\u7528\u4e00\u6761\u76f4\u7ebf\u4f9d\u6b21\u8868\u793a\u4e03\u5929\uff0c\u90a3\u4e48\u661f\u671f\u65e5\u548c\u661f\u671f\u4e00\u5c31\u4f1a\u8ddd\u79bb\u5f88\u8fdc\uff0c\u8fd9\u4e0e\u5b9e\u9645\u7684\u5468\u671f\u5173\u7cfb\u4e0d\u7b26\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5c06\u4e03\u5929\u6392\u5217\u5728\u4e00\u4e2a\u5706\u73af\u4e0a\uff0c\u661f\u671f\u65e5\u548c\u661f\u671f\u4e00\u4fbf\u81ea\u7136\u76f8\u90bb\u3002\u4e00\u4e2a\u661f\u671f\u5bf9\u5e94\u65cb\u8f6c\u4e00\u5468\uff0c\u65e5\u671f\u63a8\u8fdb\u5bf9\u5e94\u6cbf\u5706\u5468\u79fb\u52a8\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5706\u73af\u56e0\u6b64\u53ef\u80fd\u6210\u4e3a\u795e\u7ecf\u7f51\u7edc\u7f16\u7801\u5468\u671f\u6027\u4fe1\u606f\u7684\u4e00\u79cd\u9ad8\u6548\u65b9\u5f0f\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7c7b\u4f3c\u5730\uff0c\u5982\u679c\u4fe1\u606f\u540c\u65f6\u5177\u6709\u4e24\u4e2a\u72ec\u7acb\u7684\u5468\u671f\u53d8\u91cf\uff0c\u5c31\u53ef\u80fd\u51fa\u73b0\u73af\u9762\uff1b\u5982\u679c\u6d89\u53ca\u591a\u4e2a\u7c7b\u522b\u4e4b\u95f4\u7684\u5747\u8861\u5206\u79bb\uff0c\u5219\u53ef\u80fd\u51fa\u73b0\u89c4\u5219\u591a\u9762\u4f53\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u7ed3\u6784\u4e0d\u4e00\u5b9a\u7531\u7814\u7a76\u4eba\u5458\u4e8b\u5148\u8bbe\u8ba1\uff0c\u800c\u53ef\u80fd\u5728\u6a21\u578b\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u81ea\u884c\u5f62\u6210\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u5982\u4f55\u4ece\u9ad8\u7ef4\u6f5c\u5728\u7a7a\u95f4\u53d1\u73b0\u51e0\u4f55\u7ed3\u6784\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u4e4b\u4e00\u662f\u4e3b\u6210\u5206\u5206\u6790\uff08Principal Component Analysis\uff0cPCA\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">PCA\u7684\u57fa\u672c\u539f\u7406\uff0c\u662f\u5728\u9ad8\u7ef4\u6570\u636e\u4e2d\u5bfb\u627e\u53d8\u5316\u6700\u663e\u8457\u7684\u51e0\u4e2a\u65b9\u5411\uff0c\u5c06\u6570\u636e\u6295\u5f71\u5230\u4e8c\u7ef4\u6216\u4e09\u7ef4\u7a7a\u95f4\uff0c\u4ece\u800c\u89c2\u5bdf\u5176\u4e3b\u8981\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u4f7f\u75281024\u7ef4\u5411\u91cf\u8868\u793a\u67d0\u7c7b\u4fe1\u606f\u3002\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u6536\u96c6\u5927\u91cf\u8fd9\u6837\u7684\u5411\u91cf\uff0c\u5229\u7528PCA\u63d0\u53d6\u524d\u4e09\u4e2a\u4e3b\u6210\u5206\uff0c\u518d\u5c06\u5176\u7ed8\u5236\u6210\u4e09\u7ef4\u6563\u70b9\u56fe\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u539f\u672c\u65e0\u6cd5\u89c2\u5bdf\u7684\u9ad8\u7ef4\u5206\u5e03\uff0c\u5c31\u53ef\u80fd\u5448\u73b0\u5706\u73af\u3001\u87ba\u65cb\u6216\u5176\u4ed6\u7ed3\u6784\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image 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https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/PCA\u964d\u7ef4\u793a\u4f8b-32\u7ef4\u5468\u671f\u5d4c\u5165\u6295\u5f71\u540e\u5448\u73b0\u5706\u73af-1536x1056.png 1536w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/PCA\u964d\u7ef4\u793a\u4f8b-32\u7ef4\u5468\u671f\u5d4c\u5165\u6295\u5f71\u540e\u5448\u73b0\u5706\u73af.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">PCA\u964d\u7ef4\u793a\u4f8b-32\u7ef4\u5468\u671f\u5d4c\u5165\u6295\u5f71\u540e\u5448\u73b0\u5706\u73af<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">PCA\u7684\u4f18\u52bf\u5728\u4e8e\uff0c\u5b83\u91c7\u7528\u7ebf\u6027\u6295\u5f71\uff0c\u4e3b\u6210\u5206\u5177\u6709\u660e\u786e\u7684\u7edf\u8ba1\u610f\u4e49\uff0c\u5e76\u4e14\u53ef\u4ee5\u8ba1\u7b97\u5404\u4e2a\u4e3b\u6210\u5206\u4fdd\u7559\u7684\u6570\u636e\u65b9\u5dee\u6bd4\u4f8b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46PCA\u4e5f\u6709\u5c40\u9650\uff1a\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u7684\u590d\u6742\u975e\u7ebf\u6027\u7ed3\u6784\uff0c\u4e0d\u4e00\u5b9a\u80fd\u591f\u901a\u8fc7\u4e09\u7ef4\u7ebf\u6027\u6295\u5f71\u5b8c\u6574\u5448\u73b0\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u7814\u7a76\u4eba\u5458\u8fd8\u4f1a\u4f7f\u7528UMAP\u3001t-SNE\u7b49\u975e\u7ebf\u6027\u964d\u7ef4\u65b9\u6cd5\uff0c\u4ee5\u53ca\u6d41\u5f62\u5b66\u4e60\u3001\u62d3\u6251\u6570\u636e\u5206\u6790\u7b49\u6280\u672f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u6d89\u53ca\u4e24\u4e2a\u91cd\u8981\u6982\u5ff5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u51e0\u4f55\uff08Geometry\uff09<\/strong>\u4e3b\u8981\u7814\u7a76\u8ddd\u79bb\u3001\u89d2\u5ea6\u3001\u66f2\u7387\u7b49\u6027\u8d28\uff1b<strong>\u62d3\u6251\uff08Topology\uff09<\/strong>\u5219\u66f4\u5173\u6ce8\u7ed3\u6784\u662f\u5426\u8fde\u901a\u3001\u5177\u6709\u591a\u5c11\u4e2a\u5b54\u6d1e\u7b49\u4e0d\u6613\u56e0\u8fde\u7eed\u53d8\u5f62\u800c\u6539\u53d8\u7684\u6027\u8d28\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u4e00\u4e2a\u5706\u73af\u65e0\u8bba\u88ab\u62c9\u957f\u8fd8\u662f\u538b\u6241\uff0c\u53ea\u8981\u6ca1\u6709\u65ad\u88c2\uff0c\u5176\u95ed\u5408\u5faa\u73af\u7684\u62d3\u6251\u6027\u8d28\u4ecd\u7136\u5b58\u5728\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u73b0\u4ee3\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u7814\u7a76\u5df2\u7ecf\u4e0d\u6ee1\u8db3\u4e8e\u7ed8\u5236\u6f02\u4eae\u7684\u6563\u70b9\u56fe\uff0c\u800c\u662f\u8fdb\u4e00\u6b65\u7814\u7a76\u8fd9\u4e9b\u56fe\u5f62\u80cc\u540e\u7684\u51e0\u4f55\u4e0e\u62d3\u6251\u89c4\u5f8b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u6848\u4f8b\u4e00\uff1a\u6838\u8d28\u91cf\u9884\u6d4b\u6a21\u578b\u4e2d\u7684\u201c\u53cc\u87ba\u65cb\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">2026\u5e7410\u6708\uff0c\u53d1\u8868\u4e8e\u300aCommunications AI &amp; Computing\u300b\u7684\u8bba\u6587\u300aInterpretable AI reveals hidden structure in nuclear masses\u300b\uff0c\u4e3a\u8fd9\u4e00\u7814\u7a76\u65b9\u5411\u63d0\u4f9b\u4e86\u4e00\u4e2a\u975e\u5e38\u76f4\u89c2\u7684\u6848\u4f8b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u8bad\u7ec3\u795e\u7ecf\u7f51\u7edc\uff0c\u6839\u636e\u539f\u5b50\u6838\u7684\u8d28\u5b50\u6570Z\u548c\u4e2d\u5b50\u6570N\u9884\u6d4b\u6838\u7ed3\u5408\u80fd\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6a21\u578b\u5206\u522b\u5b66\u4e60\u8d28\u5b50\u6570\u548c\u4e2d\u5b50\u6570\u7684\u9ad8\u7ef4\u5d4c\u5165\u5411\u91cf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u540e\uff0c\u7814\u7a76\u4eba\u5458\u5bf9\u8fd9\u4e9b\u5d4c\u5165\u8fdb\u884cPCA\u5206\u6790\uff0c\u53d1\u73b0\u524d\u4e09\u4e2a\u4e3b\u8981\u6210\u5206\u6784\u6210\u4e86\u7c7b\u4f3cDNA\u7684\u53cc\u87ba\u65cb\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff0c\u4e24\u6761\u87ba\u65cb\u5206\u522b\u5bf9\u5e94\u8d28\u5b50\u6570\u548c\u4e2d\u5b50\u6570\u7684\u8868\u793a\uff0c\u8fde\u63a5\u5173\u7cfb\u5219\u4e0e\u4e0d\u540c\u540c\u4f4d\u7d20\u94fe\u4e2d\u6700\u7a33\u5b9a\u7684\u539f\u5b50\u6838\u6709\u5173\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"704\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f-1024x704.png\" alt=\"\" class=\"wp-image-7422\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f-1024x704.png 1024w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f-300x206.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f-768x528.png 768w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f-1536x1056.png 1536w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u6838\u8d28\u91cf\u6a21\u578b-\u8d28\u5b50\u4e0e\u4e2d\u5b50\u5d4c\u5165\u6784\u6210\u53cc\u87ba\u65cb\u7684\u6982\u5ff5\u793a\u610f<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u66f4\u91cd\u8981\u7684\u662f\uff0c\u7814\u7a76\u4eba\u5458\u8fdb\u4e00\u6b65\u5206\u6790\u4e86\u6a21\u578b\u4e3a\u4ec0\u4e48\u5f62\u6210\u8fd9\u6837\u7684\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e00\u4e3b\u6210\u5206\u4e3b\u8981\u7f16\u7801\u8d28\u5b50\u6570\u6216\u4e2d\u5b50\u6570\u7684\u5927\u5c0f\uff0c\u800c\u5176\u4ed6\u4e3b\u6210\u5206\u53c2\u4e0e\u8868\u8fbe\u8d28\u5b50\u4e0e\u4e2d\u5b50\u4e4b\u95f4\u7684\u4e0d\u5bf9\u79f0\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u5173\u7cfb\u4e0e\u4f20\u7edf\u6838\u7269\u7406\u4e2d\u63cf\u8ff0\u7ed3\u5408\u80fd\u7684\u7406\u8bba\u9879\u5b58\u5728\u660e\u786e\u8054\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u8fd8\u53d1\u73b0\uff0c\u6a21\u578b\u5bf9\u6838\u7ed3\u5408\u80fd\u7684\u9884\u6d4b\u53ef\u4ee5\u5206\u89e3\u6210\u5177\u6709\u7269\u7406\u610f\u4e49\u7684\u5c42\u6b21\u7ed3\u6784\uff0c\u5176\u4e2d\u5305\u542b\u7ecf\u5178\u6db2\u6ef4\u6a21\u578b\u7684\u4e3b\u8981\u89c4\u5f8b\uff0c\u4ee5\u53ca\u4e0e\u6838\u58f3\u5c42\u7b49\u6548\u5e94\u6709\u5173\u7684\u4fee\u6b63\u9879\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u53cc\u87ba\u65cb\u5e76\u4e0d\u53ea\u662f\u4e00\u4e2a\u89c6\u89c9\u4e0a\u5438\u5f15\u4eba\u7684\u7ed3\u679c\uff0c\u800c\u6210\u4e3a\u7814\u7a76\u4eba\u5458\u89e3\u91ca\u6a21\u578b\u5185\u90e8\u8ba1\u7b97\u673a\u5236\u7684\u7ebf\u7d22\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\u9700\u8981\u5f3a\u8c03\uff1a<strong>\u53cc\u87ba\u65cb\u4e0d\u662f\u539f\u5b50\u6838\u81ea\u8eab\u7684\u7269\u7406\u5f62\u72b6\uff0c\u800c\u662f\u7279\u5b9a\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u53ca\u6b63\u5219\u5316\u6761\u4ef6\u4e0b\u5f62\u6210\u7684\u5d4c\u5165\u7ed3\u6784\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bba\u6587\u8868\u660e\uff0c\u5728\u5176\u7814\u7a76\u7684\u6b63\u5219\u5316\u6a21\u578b\u8303\u56f4\u5185\uff0c\u8fd9\u79cd\u51e0\u4f55\u5f62\u6001\u5177\u6709\u4e00\u5b9a\u7a33\u5065\u6027\uff1b\u4f46\u53bb\u9664\u6b63\u5219\u5316\u540e\uff0c\u4e5f\u53ef\u80fd\u5f97\u5230\u9884\u6d4b\u6548\u679c\u76f8\u8fd1\u3001\u5374\u4e0d\u518d\u5177\u6709\u76f8\u540c\u87ba\u65cb\u5f62\u6001\u7684\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u8bf4\u660e\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u65e2\u53d7\u5230\u4efb\u52a1\u89c4\u5f8b\u5f71\u54cd\uff0c\u4e5f\u53d7\u5230\u6a21\u578b\u67b6\u6784\u548c\u8bad\u7ec3\u65b9\u5f0f\u5f71\u54cd\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u6848\u4f8b\u4e8c\uff1a\u6570\u5b66\u8fd0\u7b97\u7f51\u7edc\u4e2d\u7684\u201c\u5706\u73af\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u53e6\u4e00\u4e2a\u7ecf\u5178\u6848\u4f8b\u6765\u81eaGrokking\u7814\u7a76\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Grokking\u901a\u5e38\u6307\u4e00\u79cd\u7279\u6b8a\u7684\u5b66\u4e60\u73b0\u8c61\uff1a\u795e\u7ecf\u7f51\u7edc\u5148\u8bb0\u4f4f\u8bad\u7ec3\u6570\u636e\uff0c\u5728\u8bad\u7ec3\u76f8\u5f53\u957f\u65f6\u95f4\u540e\uff0c\u6d4b\u8bd5\u96c6\u8868\u73b0\u624d\u7a81\u7136\u663e\u8457\u6539\u5584\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2022\u5e74\u7684\u7814\u7a76\u300aTowards Understanding Grokking: An Effective Theory of Representation Learning\u300b\u5206\u6790\u4e86\u795e\u7ecf\u7f51\u7edc\u5b66\u4e60\u6570\u5b66\u8fd0\u7b97\u65f6\u7684\u5185\u90e8\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u53d1\u73b0\uff0c\u5f53Transformer\u5b66\u4e60\u6a21\u52a0\u6cd5\u65f6\uff0c\u5176\u6570\u5b57\u5d4c\u5165\u5411\u91cf\u7ecf\u8fc7PCA\u6295\u5f71\u540e\uff0c\u53ef\u4ee5\u4ece\u76f8\u5bf9\u6df7\u4e71\u7684\u5206\u5e03\u9010\u6e10\u5f62\u6210\u6709\u5e8f\u7684\u5706\u73af\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u8c13\u6a21\u52a0\u6cd5\uff0c\u53ef\u4ee5\u7406\u89e3\u4e3a\u65f6\u949f\u4e0a\u7684\u8fd0\u7b97\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u65f6\u949f\u53ea\u670912\u4e2a\u523b\u5ea6\uff0c\u6570\u5b5711\u52a03\u5e76\u4e0d\u4f1a\u5f97\u523014\uff0c\u800c\u662f\u56de\u52302\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6837\u7684\u8ba1\u7b97\u5929\u7136\u5177\u6709\u5468\u671f\u6027\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u51e0\u4f55\u4e0a\uff0c\u6a21\u52a0\u6cd5\u53ef\u4ee5\u901a\u8fc7\u5706\u73af\u4e0a\u7684\u65cb\u8f6c\u6765\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u540e\uff0c2023\u5e74\u7684\u300aProgress measures for grokking via mechanistic interpretability\u300b\u8fdb\u4e00\u6b65\u5206\u6790\u4e86\u76f8\u5173Transformer\u7684\u5185\u90e8\u673a\u5236\uff0c\u53d1\u73b0\u7f51\u7edc\u80fd\u591f\u5229\u7528\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u53ca\u4e09\u89d2\u51fd\u6570\u5173\u7cfb\uff0c\u5c06\u6a21\u52a0\u6cd5\u8f6c\u5316\u4e3a\u5468\u671f\u6027\u8ba1\u7b97\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u8fd8\u901a\u8fc7\u6743\u91cd\u5206\u6790\u3001\u6fc0\u6d3b\u5206\u6790\u548c\u6d88\u878d\u5b9e\u9a8c\u9a8c\u8bc1\u76f8\u5173\u673a\u5236\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u7814\u7a76\u8bf4\u660e\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u795e\u7ecf\u7f51\u7edc\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u53ef\u80fd\u4e0e\u5176\u662f\u5426\u5b66\u4e60\u5230\u9002\u5408\u4efb\u52a1\u7684\u5185\u90e8\u6570\u5b66\u8868\u793a\u5bc6\u5207\u76f8\u5173\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6a21\u578b\u4e0d\u518d\u53ea\u662f\u8bb0\u5fc6\u5927\u91cf\u8f93\u5165\u548c\u8f93\u51fa\u4e4b\u95f4\u7684\u5bf9\u5e94\u5173\u7cfb\uff0c\u800c\u662f\u9010\u6e10\u5f62\u6210\u80fd\u591f\u91cd\u590d\u4f7f\u7528\u7684\u8ba1\u7b97\u89c4\u5219\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001\u6848\u4f8b\u4e09\uff1a\u5927\u8bed\u8a00\u6a21\u578b\u4e2d\u7684\u201c\u661f\u671f\u5706\u73af\u201d\u548c\u201c\u6708\u4efd\u5706\u73af\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">2025\u5e74ICLR\u8bba\u6587\u300aNot All Language Model Features Are One-Dimensionally Linear\u300b\uff0c\u5c06\u7c7b\u4f3c\u7814\u7a76\u6269\u5c55\u5230\u4e86\u5927\u8bed\u8a00\u6a21\u578b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fc7\u53bb\uff0c\u4e00\u4e9b\u53ef\u89e3\u91ca\u6027\u7814\u7a76\u503e\u5411\u4e8e\u5c06\u6a21\u578b\u5185\u90e8\u7684\u67d0\u4e2a\u6982\u5ff5\u5bf9\u5e94\u5230\u4e00\u4e2a\u7279\u5f81\u65b9\u5411\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u4e00\u4e2a\u65b9\u5411\u53ef\u80fd\u4e0e\u67d0\u7c7b\u8bed\u4e49\u7279\u5f81\u76f8\u5173\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\uff0c\u8be5\u7814\u7a76\u63d0\u51fa\uff1a\u6709\u4e9b\u7279\u5f81\u672c\u8d28\u4e0a\u53ef\u80fd\u662f\u591a\u7ef4\u7ed3\u6784\uff0c\u800c\u4e0d\u662f\u5355\u4e00\u65b9\u5411\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u5229\u7528\u7a00\u758f\u81ea\u7f16\u7801\u5668\uff08SAE\uff09\u5206\u6790GPT-2\u548cMistral 7B\uff0c\u53d1\u73b0\u4e86\u4e0e\u661f\u671f\u3001\u6708\u4efd\u6709\u5173\u7684\u73af\u5f62\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u661f\u671f\u4e00\u81f3\u661f\u671f\u65e5\u4e0d\u662f\u7b80\u5355\u6392\u5217\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\uff0c\u800c\u662f\u53ef\u4ee5\u5728\u4e8c\u7ef4\u5b50\u7a7a\u95f4\u4e2d\u5f62\u6210\u6709\u5e8f\u5706\u73af\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"704\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97-1024x704.png\" alt=\"\" class=\"wp-image-7423\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97-1024x704.png 1024w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97-300x206.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97-768x528.png 768w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97-1536x1056.png 1536w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u8bed\u8a00\u6a21\u578b-\u661f\u671f\u5706\u73af\u8868\u793a\u6a21\u4e03\u5468\u671f\u8fd0\u7b97<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u66f4\u6709\u610f\u4e49\u7684\u662f\uff0c\u8fd9\u4e9b\u7ed3\u6784\u5e76\u975e\u53ea\u80fd\u7528\u4e8e\u5c55\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u8bbe\u8ba1\u65e5\u671f\u63a8\u7406\u4efb\u52a1\uff0c\u5e76\u901a\u8fc7\u6fc0\u6d3b\u66ff\u6362\u7b49\u5e72\u9884\u65b9\u6cd5\u53d1\u73b0\uff0c\u76f8\u5173\u73af\u5f62\u8868\u793a\u786e\u5b9e\u53c2\u4e0e\u4e86\u6a21\u578b\u7684\u65e5\u671f\u8ba1\u7b97\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u63d0\u4f9b\u4e86\u6bd4\u5355\u7eaf\u89c2\u5bdfPCA\u6563\u70b9\u56fe\u66f4\u5f3a\u7684\u8bc1\u636e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u8fd8\u8bf4\u660e\uff0c\u67d0\u4e9b\u6982\u5ff5\u53ef\u80fd\u9700\u8981\u591a\u4e2a\u795e\u7ecf\u5143\u6216\u591a\u4e2a\u7279\u5f81\u65b9\u5411\u534f\u540c\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7406\u89e3\u4e00\u4e2a\u6982\u5ff5\uff0c\u4e0d\u80fd\u59cb\u7ec8\u5c40\u9650\u4e8e\u5bfb\u627e\u4e00\u4e2a\u5bf9\u5e94\u7684\u795e\u7ecf\u5143\u6216\u4e00\u6761\u7279\u5f81\u8f74\u3002<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u516d\u3001\u6848\u4f8b\u56db\uff1a\u8bed\u8a00\u6a21\u578b\u4e2d\u7684\u989c\u8272\u6d41\u5f62\u4e0e\u4f4d\u7f6e\u87ba\u65cb<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">2025\u5e74\u7684\u8bba\u6587\u300aThe Origins of Representation Manifolds in Large Language Models\u300b\uff0c\u4ece\u66f4\u4e00\u822c\u7684\u89d2\u5ea6\u7814\u7a76\u4e86\u8bed\u8a00\u6a21\u578b\u4e2d\u7684\u8868\u5f81\u6d41\u5f62\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u8c13\u6d41\u5f62\uff08Manifold\uff09\uff0c\u53ef\u4ee5\u901a\u4fd7\u7406\u89e3\u4e3a\u5d4c\u5165\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u7684\u4f4e\u7ef4\u8fde\u7eed\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u5706\u5468\u867d\u7136\u5904\u4e8e\u4e8c\u7ef4\u5e73\u9762\u4e2d\uff0c\u5374\u53ea\u9700\u8981\u4e00\u4e2a\u89d2\u5ea6\u53d8\u91cf\u5c31\u80fd\u63cf\u8ff0\uff1b\u7403\u9762\u4f4d\u4e8e\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u5374\u53ea\u9700\u8981\u4e24\u4e2a\u53c2\u6570\u6765\u786e\u5b9a\u4f4d\u7f6e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u7814\u7a76\u63d0\u51fa\uff0c\u795e\u7ecf\u7f51\u7edc\u5bf9\u4e8e\u8fde\u7eed\u53d8\u5316\u6982\u5ff5\u7684\u8868\u793a\uff0c\u4e5f\u53ef\u80fd\u5177\u6709\u7c7b\u4f3c\u7684\u4f4e\u7ef4\u51e0\u4f55\u6027\u8d28\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u5206\u6790\u8bed\u8a00\u5d4c\u5165\u548c\u6a21\u578b\u6fc0\u6d3b\uff0c\u89c2\u5bdf\u5230\u989c\u8272\u3001\u65f6\u95f4\u7b49\u6982\u5ff5\u5b58\u5728\u6709\u7ec4\u7ec7\u7684\u51e0\u4f55\u5173\u7cfb\uff0c\u5e76\u4ece\u7406\u8bba\u4e0a\u8ba8\u8bba\u4e86\u8868\u793a\u7a7a\u95f4\u4e2d\u7684\u76f8\u4f3c\u5ea6\u5982\u4f55\u53cd\u6620\u6982\u5ff5\u7684\u5185\u5728\u51e0\u4f55\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u989c\u8272\u4e4b\u95f4\u5b58\u5728\u8fde\u7eed\u53d8\u5316\u5173\u7cfb\uff0c\u5176\u8868\u793a\u81ea\u7136\u53ef\u80fd\u66f4\u63a5\u8fd1\u4e00\u6761\u5f2f\u66f2\u7684\u8f68\u8ff9\u6216\u4e00\u4e2a\u6d41\u5f62\uff0c\u800c\u4e0d\u662f\u5b8c\u5168\u72ec\u7acb\u7684\u79bb\u6563\u70b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53e6\u4e00\u4e2a\u76f8\u5173\u7814\u7a76\u300aVisualizing LLM Latent Space Geometry Through Dimensionality Reduction\u300b\u5219\u5206\u6790\u4e86GPT-2\u548cLLaMA\u7684\u5185\u90e8\u72b6\u6001\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u901a\u8fc7PCA\u548cUMAP\u7b49\u65b9\u6cd5\uff0c\u89c2\u5bdf\u5230\u6a21\u578b\u7684\u4f4d\u7f6e\u5d4c\u5165\u5177\u6709\u9ad8\u7ef4\u87ba\u65cb\u5f0f\u7ed3\u6784\uff0c\u5e76\u5c55\u793a\u4e86\u4e0d\u540c\u7f51\u7edc\u5c42\u5185\u90e8\u72b6\u6001\u7684\u51e0\u4f55\u53d8\u5316\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u87ba\u65cb\u4e0e\u6838\u8d28\u91cf\u6a21\u578b\u7684\u53cc\u87ba\u65cb\u542b\u4e49\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u8005\u4e3b\u8981\u5173\u8054\u5e8f\u5217\u4f4d\u7f6e\u7684\u7f16\u7801\u65b9\u5f0f\uff0c\u540e\u8005\u5219\u5173\u8054\u6838\u7269\u7406\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\uff0c\u8be5\u4f4d\u7f6e\u87ba\u65cb\u7814\u7a76\u4ecd\u5c5e\u4e8e\u76f8\u5bf9\u65e9\u671f\u7684\u63a2\u7d22\u6027\u5206\u6790\uff0c\u5176\u51e0\u4f55\u53d1\u73b0\u4e0d\u80fd\u76f4\u63a5\u7b49\u540c\u4e8e\u5df2\u7ecf\u5b8c\u6574\u8bc6\u522b\u51fa\u6a21\u578b\u7684\u8ba1\u7b97\u673a\u5236\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e03\u3001\u6848\u4f8b\u4e94\uff1a\u5206\u7c7b\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u201c\u6b63\u5355\u7eaf\u5f62\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u51e0\u4f55\u7ed3\u6784\u5e76\u4e0d\u5c40\u9650\u4e8e\u5706\u73af\u6216\u87ba\u65cb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2020\u5e74\u53d1\u8868\u5728PNAS\u7684\u8bba\u6587\u300aPrevalence of neural collapse during the terminal phase of deep learning training\u300b\uff0c\u63d0\u51fa\u4e86\u8457\u540d\u7684\u795e\u7ecf\u584c\u7f29\uff08Neural Collapse\uff09\u73b0\u8c61\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u53d1\u73b0\uff0c\u5728\u67d0\u4e9b\u5206\u7c7b\u7f51\u7edc\u8bad\u7ec3\u540e\u671f\uff0c\u540c\u4e00\u7c7b\u522b\u7684\u7279\u5f81\u5411\u91cf\u4f1a\u8d8a\u6765\u8d8a\u63a5\u8fd1\u5176\u7c7b\u522b\u4e2d\u5fc3\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u6b64\u540c\u65f6\uff0c\u4e0d\u540c\u7c7b\u522b\u7684\u4e2d\u5fc3\u9010\u6e10\u5f62\u6210\u9ad8\u5ea6\u5bf9\u79f0\u7684\u51e0\u4f55\u6392\u5217\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u7ed3\u6784\u88ab\u79f0\u4e3a\u6b63\u5355\u7eaf\u5f62\u7b49\u89d2\u7d27\u6846\u67b6\uff08Simplex Equiangular Tight Frame\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u901a\u4fd7\u7406\u89e3\uff0c\u5982\u679c\u6709\u4e09\u4e2a\u7c7b\u522b\uff0c\u5176\u4e2d\u5fc3\u53ef\u4ee5\u6392\u5217\u6210\u7b49\u8fb9\u4e09\u89d2\u5f62\uff1b\u5982\u679c\u6709\u56db\u4e2a\u7c7b\u522b\uff0c\u5219\u53ef\u4ee5\u6392\u5217\u6210\u6b63\u56db\u9762\u4f53\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u7740\u7c7b\u522b\u6570\u91cf\u589e\u52a0\uff0c\u8fd9\u79cd\u7ed3\u6784\u53ef\u4ee5\u63a8\u5e7f\u5230\u66f4\u9ad8\u7ef4\u7a7a\u95f4\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"704\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217-1024x704.png\" alt=\"\" class=\"wp-image-7424\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217-1024x704.png 1024w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217-300x206.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217-768x528.png 768w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217-1536x1056.png 1536w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u795e\u7ecf\u584c\u7f29-\u56db\u7c7b\u7279\u5f81\u4e2d\u5fc3\u5448\u6b63\u56db\u9762\u4f53\u6392\u5217<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u8fd9\u79cd\u73b0\u8c61\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u5206\u7c7b\u89d2\u5ea6\u770b\uff0c\u6a21\u578b\u9700\u8981\u5c06\u4e0d\u540c\u7c7b\u522b\u6709\u6548\u533a\u5206\u5f00\u6765\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u4e0d\u540c\u7c7b\u522b\u7684\u4e2d\u5fc3\u5f62\u6210\u5bf9\u79f0\u4e14\u5206\u79bb\u826f\u597d\u7684\u6392\u5217\u65f6\uff0c\u53ef\u4ee5\u5b9e\u73b0\u4e00\u79cd\u5747\u8861\u7684\u7c7b\u522b\u533a\u5206\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u795e\u7ecf\u584c\u7f29\u7814\u7a76\u8bf4\u660e\uff0c\u6df1\u5ea6\u5206\u7c7b\u7f51\u7edc\u8bad\u7ec3\u5230\u4e00\u5b9a\u9636\u6bb5\u540e\uff0c\u5185\u90e8\u7279\u5f81\u53ef\u80fd\u8d8b\u5411\u9ad8\u5ea6\u89c4\u5219\u7684\u51e0\u4f55\u7ec4\u7ec7\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u5706\u73af\u6848\u4f8b\u4e0d\u540c\uff0c\u8fd9\u91cc\u7684\u5173\u952e\u5e76\u4e0d\u662f\u5468\u671f\u6027\uff0c\u800c\u662f<strong>\u7c7b\u522b\u5206\u79bb\u4e0e\u51e0\u4f55\u5bf9\u79f0\u6027\u4e4b\u95f4\u7684\u5173\u7cfb<\/strong>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u516b\u3001\u6848\u4f8b\u516d\uff1a\u7279\u5f81\u53e0\u52a0\u4e0e\u6b63\u591a\u9762\u4f53\u51e0\u4f55<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">2022\u5e74\uff0cAnthropic\u53d1\u8868\u300aToy Models of Superposition\u300b\uff0c\u7814\u7a76\u795e\u7ecf\u7f51\u7edc\u5982\u4f55\u5728\u6709\u9650\u7ef4\u5ea6\u4e2d\u8868\u793a\u6bd4\u7ef4\u5ea6\u6570\u91cf\u66f4\u591a\u7684\u7279\u5f81\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u53ef\u80fd\u5b58\u5728\u5927\u91cf\u9700\u8981\u7f16\u7801\u7684\u6982\u5ff5\uff0c\u4f46\u53ef\u4f9b\u4f7f\u7528\u7684\u795e\u7ecf\u5143\u548c\u8868\u793a\u7ef4\u5ea6\u59cb\u7ec8\u6709\u9650\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u53d1\u73b0\uff0c\u5f53\u7279\u5f81\u8db3\u591f\u7a00\u758f\u65f6\uff0c\u6a21\u578b\u53ef\u4ee5\u901a\u8fc7\u7279\u5f81\u53e0\u52a0\uff08Superposition\uff09\uff0c\u8ba9\u4e0d\u540c\u7279\u5f81\u5171\u4eab\u90e8\u5206\u8868\u793a\u65b9\u5411\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u610f\u5473\u7740\uff0c\u4e00\u4e2a\u795e\u7ecf\u5143\u4e0d\u4e00\u5b9a\u53ea\u5bf9\u5e94\u4e00\u4e2a\u6982\u5ff5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u7b80\u5316\u6a21\u578b\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u53d1\u73b0\u7279\u5f81\u65b9\u5411\u53ef\u80fd\u5f62\u6210\u4e0e\u6b63\u591a\u9762\u4f53\u76f8\u5173\u7684\u51e0\u4f55\u6392\u5217\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u6392\u5217\u53cd\u6620\u4e86\u7f51\u7edc\u5982\u4f55\u5728\u6709\u9650\u7ef4\u5ea6\u4e2d\u540c\u65f6\u5bb9\u7eb3\u591a\u4e2a\u7279\u5f81\uff0c\u5e76\u5c3d\u91cf\u63a7\u5236\u7279\u5f81\u4e4b\u95f4\u7684\u5e72\u6270\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9879\u7814\u7a76\u7684\u91cd\u8981\u6027\u5728\u4e8e\uff0c\u5b83\u628a\u795e\u7ecf\u7f51\u7edc\u7684\u53ef\u89e3\u91ca\u6027\u95ee\u9898\u4e0e\u51e0\u4f55\u4f18\u5316\u8054\u7cfb\u8d77\u6765\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5185\u90e8\u51e0\u4f55\u7ed3\u6784\u4e0d\u4ec5\u53ef\u80fd\u6765\u81ea\u8f93\u5165\u6570\u636e\u7684\u89c4\u5f8b\uff0c\u4e5f\u53ef\u80fd\u6765\u81ea\u795e\u7ecf\u7f51\u7edc\u5bf9\u6709\u9650\u8868\u793a\u8d44\u6e90\u7684\u9ad8\u6548\u5229\u7528\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\uff0c\u8fd9\u4e9b\u7ed3\u8bba\u6700\u521d\u6765\u81ea\u53ef\u63a7\u7684\u7b80\u5316\u6a21\u578b\uff0c\u4e0d\u80fd\u76f4\u63a5\u63a8\u65ad\u6240\u6709\u5927\u578b\u795e\u7ecf\u7f51\u7edc\u90fd\u4f1a\u5f62\u6210\u76f8\u540c\u7684\u6b63\u591a\u9762\u4f53\u7ed3\u6784\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e5d\u3001\u6848\u4f8b\u4e03\uff1a\u7a7a\u95f4\u5bfc\u822a\u7f51\u7edc\u4e0e\u5927\u8111\u4e2d\u7684\u201c\u73af\u9762\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u7684\u76f8\u5173\u7814\u7a76\u6765\u6e90\uff1a\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2022\u5e74\u300aCell Reports\u300b\u8bba\u6587\u300aExcitatory-inhibitory recurrent dynamics produce robust visual grids and stable attractors\u300b\uff0c\u7814\u7a76\u4e86\u7528\u4e8e\u7a7a\u95f4\u5bfc\u822a\u7684\u5174\u594b\u6027\u2014\u6291\u5236\u6027\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u53d1\u73b0\uff0c\u6a21\u578b\u5728\u5b66\u4e60\u5bfc\u822a\u4efb\u52a1\u540e\uff0c\u5176\u795e\u7ecf\u7fa4\u4f53\u6d3b\u52a8\u53ef\u4ee5\u5f62\u6210\u73af\u72b6\u6216\u73af\u9762\u72b6\u7684\u4f4e\u7ef4\u5438\u5f15\u5b50\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u8c13\u5438\u5f15\u5b50\uff08Attractor\uff09\uff0c\u662f\u6307\u52a8\u6001\u7cfb\u7edf\u503e\u5411\u4e8e\u7ef4\u6301\u6216\u8fd4\u56de\u7684\u4e00\u7ec4\u7a33\u5b9a\u72b6\u6001\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u7ed3\u6784\u4e0e\u6a21\u578b\u5982\u4f55\u6301\u7eed\u8868\u793a\u7a7a\u95f4\u4f4d\u7f6e\uff0c\u4ee5\u53ca\u5982\u4f55\u5728\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u66f4\u65b0\u5185\u90e8\u72b6\u6001\u6709\u5173\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u66f4\u6709\u4ee3\u8868\u6027\u7684\u662f2022\u5e74\u300aNature\u300b\u8bba\u6587\u300aToroidal topology of population activity in grid cells\u300b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u8bb0\u5f55\u5927\u91cf\u771f\u5b9e\u7f51\u683c\u7ec6\u80de\u7684\u6d3b\u52a8\uff0c\u5e76\u4f7f\u7528PCA\u3001UMAP\u4ee5\u53ca\u62d3\u6251\u6570\u636e\u5206\u6790\uff0c\u53d1\u73b0\u8fd9\u4e9b\u795e\u7ecf\u5143\u7684\u7fa4\u4f53\u6d3b\u52a8\u4f4d\u4e8e\u5177\u6709\u73af\u9762\u62d3\u6251\u7684\u6d41\u5f62\u4e0a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"704\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62-1024x704.png\" alt=\"\" class=\"wp-image-7425\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62-1024x704.png 1024w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62-300x206.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62-768x528.png 768w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62-1536x1056.png 1536w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u7f51\u683c\u7ec6\u80de-\u4e24\u4e2a\u5468\u671f\u81ea\u7531\u5ea6\u5bf9\u5e94\u7684\u73af\u9762\u6d41\u5f62<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684\u7814\u7a76\u5bf9\u8c61\u662f\u771f\u5b9e\u52a8\u7269\u795e\u7ecf\u7cfb\u7edf\uff0c\u800c\u4e0d\u662f\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u8be5\u8bba\u6587\u9996\u5148\u901a\u8fc7PCA\u5c06\u6d3b\u52a8\u6570\u636e\u964d\u5230\u516d\u7ef4\uff0c\u518d\u4f7f\u7528UMAP\u8fdb\u884c\u4e09\u7ef4\u53ef\u89c6\u5316\uff0c\u5e76\u5229\u7528\u62d3\u6251\u5206\u6790\u652f\u6301\u73af\u9762\u7ed3\u6784\u7684\u5224\u65ad\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u4e0d\u80fd\u7b80\u5355\u5730\u5c06\u5176\u63cf\u8ff0\u4e3a\u201cPCA\u76f4\u63a5\u53d1\u73b0\u4e09\u7ef4\u73af\u9762\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9879\u7814\u7a76\u5177\u6709\u7279\u6b8a\u610f\u4e49\uff1a<strong>\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u548c\u771f\u5b9e\u751f\u7269\u795e\u7ecf\u7cfb\u7edf\uff0c\u90fd\u53ef\u80fd\u901a\u8fc7\u4f4e\u7ef4\u51e0\u4f55\u7ed3\u6784\u7ec4\u7ec7\u590d\u6742\u7684\u52a8\u6001\u4fe1\u606f\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4e3a\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u53ef\u89e3\u91ca\u6027\u3001\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u4e0e\u51e0\u4f55\u5b66\u4e4b\u95f4\u5efa\u7acb\u4e86\u8054\u7cfb\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5341\u3001\u4ece\u89c2\u5bdf\u5f62\u72b6\u8d70\u5411\u7406\u89e3\u8ba1\u7b97\u673a\u5236<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0a\u8ff0\u7814\u7a76\u5448\u73b0\u51fa\u4e00\u4e2a\u5171\u540c\u8d8b\u52bf\uff1a\u795e\u7ecf\u7f51\u7edc\u7684\u5185\u90e8\u8868\u793a\u53ef\u80fd\u5177\u6709\u660e\u663e\u7684\u51e0\u4f55\u7ec4\u7ec7\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p 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class=\"wp-block-paragraph\">\u540c\u4e00\u4e2a\u4efb\u52a1\u53ef\u4ee5\u5b58\u5728\u591a\u79cd\u6709\u6548\u8868\u793a\uff0c\u4e0d\u540c\u7f51\u7edc\u67b6\u6784\u548c\u8bad\u7ec3\u65b9\u6cd5\u4e5f\u53ef\u80fd\u4ea7\u751f\u4e0d\u540c\u5f62\u72b6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u7814\u7a76\u4eba\u5458\u5fc5\u987b\u56de\u7b54\u4e09\u4e2a\u5c42\u6b21\u7684\u95ee\u9898\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e00\uff0c\u51e0\u4f55\u7ed3\u6784\u662f\u5426\u771f\u7684\u5b58\u5728\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u4eba\u5458\u9700\u8981\u68c0\u67e5PCA\u89e3\u91ca\u65b9\u5dee\u7684\u6bd4\u4f8b\uff0c\u5e76\u4f7f\u7528\u4e0d\u540c\u964d\u7ef4\u65b9\u6cd5\u3001\u4e0d\u540c\u968f\u673a\u521d\u59cb\u5316\u548c\u4e0d\u540c\u8bad\u7ec3\u8bbe\u7f6e\u9a8c\u8bc1\u7ed3\u679c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u67d0\u79cd\u5f62\u72b6\u53ea\u6709\u5728\u7279\u5b9a\u53ef\u89c6\u5316\u53c2\u6570\u4e0b\u624d\u51fa\u73b0\uff0c\u5c31\u9700\u8981\u8c28\u614e\u89e3\u91ca\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e8c\uff0c\u51e0\u4f55\u7ed3\u6784\u662f\u5426\u4e0e\u4efb\u52a1\u7684\u6570\u5b66\u89c4\u5f8b\u6709\u5173\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u5706\u73af\u662f\u5426\u771f\u6b63\u7f16\u7801\u5468\u671f\u6027\u53d8\u91cf\uff1f\u87ba\u65cb\u7684\u8f74\u5411\u4e0e\u65cb\u8f6c\u65b9\u5411\u662f\u5426\u5bf9\u5e94\u67d0\u4e9b\u53ef\u8bc6\u522b\u7684\u7269\u7406\u91cf\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u901a\u5e38\u9700\u8981\u7ed3\u5408\u7ebf\u6027\u63a2\u9488\u3001\u6570\u5b66\u62df\u5408\u3001\u7b26\u53f7\u56de\u5f52\u548c\u52a8\u529b\u7cfb\u7edf\u5206\u6790\u3002<\/p>\n\n\n\n<p 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class=\"wp-block-paragraph\">\u5982\u679c\u5e72\u9884\u7ed3\u679c\u4e0e\u6570\u5b66\u5047\u8bbe\u4e00\u81f4\uff0c\u624d\u80fd\u66f4\u6709\u628a\u63e1\u5730\u8ba4\u4e3a\u53d1\u73b0\u4e86\u5177\u6709\u5b9e\u9645\u4f5c\u7528\u7684\u8ba1\u7b97\u673a\u5236\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u6b64\uff0c\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u6b63\u5728\u4ece\u7b80\u5355\u7684\u201c\u7ed3\u6784\u53ef\u89c6\u5316\u201d\uff0c\u8d70\u5411\u201c\u51e0\u4f55\u7ed3\u6784\u8bc6\u522b\u2014\u6570\u5b66\u89c4\u5f8b\u63d0\u53d6\u2014\u56e0\u679c\u673a\u5236\u9a8c\u8bc1\u201d\u7684\u5b8c\u6574\u7814\u7a76\u6d41\u7a0b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"640\" src=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1-1024x640.png\" alt=\"\" class=\"wp-image-7426\" srcset=\"https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1-1024x640.png 1024w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1-300x188.png 300w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1-768x480.png 768w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1-1536x960.png 1536w, https:\/\/nullthought.net\/wp-content\/uploads\/2026\/10\/\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u7814\u7a76\u6d41\u7a0b-\u4ecePCA\u53ef\u89c6\u5316\u5230\u56e0\u679c\u673a\u5236\u9a8c\u8bc1<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u5341\u4e00\u3001\u7814\u7a76\u65b9\u6cd5\u6b63\u5728\u4ecePCA\u6269\u5c55\u5230\u6d41\u5f62\u4e0e\u62d3\u6251\u5206\u6790<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9664\u4e86PCA\uff0c\u76f8\u5173\u7814\u7a76\u5df2\u7ecf\u53d1\u5c55\u51fa\u591a\u79cd\u4e92\u8865\u5de5\u5177\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">UMAP\u548ct-SNE\u6709\u52a9\u4e8e\u89c2\u5bdf\u590d\u6742\u7684\u975e\u7ebf\u6027\u5206\u5e03\uff0c\u4f46\u5b83\u4eec\u53ef\u80fd\u6539\u53d8\u8ddd\u79bb\u5173\u7cfb\u6216\u4ea7\u751f\u89c6\u89c9\u4e0a\u7684\u805a\u96c6\u6548\u5e94\uff0c\u56e0\u6b64\u4e0d\u9002\u5408\u4ec5\u51ed\u56fe\u7247\u5224\u65ad\u771f\u5b9e\u62d3\u6251\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u62d3\u6251\u6570\u636e\u5206\u6790\uff08TDA\uff09\u5219\u5173\u6ce8\u8fde\u901a\u6027\u3001\u73af\u8def\u548c\u5b54\u6d1e\u7b49\u6027\u8d28\u3002\u6301\u7eed\u540c\u8c03\uff08Persistent Homology\uff09\u53ef\u4ee5\u8fdb\u4e00\u6b65\u5224\u65ad\u8fd9\u4e9b\u7ed3\u6784\u662f\u5426\u5728\u4e0d\u540c\u8ddd\u79bb\u5c3a\u5ea6\u4e0b\u7a33\u5b9a\u5b58\u5728\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u7591\u4f3c\u5706\u73af\u7684\u9ad8\u7ef4\u70b9\u4e91\uff0c\u6301\u7eed\u540c\u8c03\u53ef\u4ee5\u5e2e\u52a9\u68c0\u9a8c\u5176\u662f\u5426\u786e\u5b9e\u5b58\u5728\u7a33\u5b9a\u7684\u4e00\u7ef4\u73af\u8def\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b64\u5916\uff0c\u8868\u5f81\u76f8\u4f3c\u6027\u5206\u6790\uff08RSA\uff09\u548c\u4e2d\u5fc3\u5316\u6838\u5bf9\u9f50\uff08CKA\uff09\u53ef\u4ee5\u6bd4\u8f83\u4e0d\u540c\u795e\u7ecf\u7f51\u7edc\u6216\u4e0d\u540c\u7f51\u7edc\u5c42\u7684\u8868\u793a\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u65b9\u6cd5\u5e76\u4e0d\u8981\u6c42\u4e24\u4e2a\u6a21\u578b\u4f7f\u7528\u5b8c\u5168\u76f8\u540c\u7684\u5185\u90e8\u5750\u6807\uff0c\u800c\u662f\u5c1d\u8bd5\u6bd4\u8f83\u5b83\u4eec\u7f16\u7801\u4fe1\u606f\u7684\u6574\u4f53\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2019\u5e74\u7684CKA\u7814\u7a76\u8868\u660e\uff0c\u4e0d\u540c\u521d\u59cb\u5316\u8bad\u7ec3\u51fa\u7684\u7f51\u7edc\uff0c\u5176\u5185\u90e8\u8868\u793a\u4ecd\u53ef\u80fd\u5177\u6709\u53ef\u8bc6\u522b\u7684\u5bf9\u5e94\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2024\u5e74\u7684\u300aThe Platonic Representation Hypothesis\u300b\u5219\u8fdb\u4e00\u6b65\u63d0\u51fa\u4e00\u4e2a\u5177\u6709\u542f\u53d1\u6027\u7684\u5047\u8bf4\uff1a\u968f\u7740\u6a21\u578b\u89c4\u6a21\u548c\u80fd\u529b\u589e\u52a0\uff0c\u4e0d\u540c\u67b6\u6784\u3001\u4e0d\u540c\u6a21\u6001\u7684\u6a21\u578b\u53ef\u80fd\u9010\u6e10\u5b66\u4e60\u5230\u67d0\u4e9b\u76f8\u4f3c\u7684\u4e16\u754c\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u610f\u5473\u7740\uff0c\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u7684\u7814\u7a76\u5bf9\u8c61\u5df2\u7ecf\u4ece\u5355\u4e00\u6a21\u578b\u5185\u90e8\uff0c\u6269\u5c55\u5230\u8de8\u6a21\u578b\u3001\u8de8\u6a21\u6001\u4e43\u81f3\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u4e0e\u751f\u7269\u795e\u7ecf\u7cfb\u7edf\u4e4b\u95f4\u7684\u6bd4\u8f83\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\uff0c\u201c\u4e0d\u540c\u6a21\u578b\u6700\u7ec8\u6536\u655b\u5230\u7edf\u4e00\u51e0\u4f55\u7ed3\u6784\u201d\u4ecd\u7136\u662f\u4e00\u79cd\u7814\u7a76\u5047\u8bf4\uff0c\u800c\u975e\u5df2\u7ecf\u5f97\u5230\u666e\u904d\u8bc1\u660e\u7684\u7ed3\u8bba\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5341\u4e8c\u3001\u662f\u5426\u6240\u6709\u795e\u7ecf\u7f51\u7edc\u90fd\u5b58\u5728\u7b80\u5355\u7684\u4f4e\u7ef4\u51e0\u4f55\u7ed3\u6784\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\u5426\u5b9a\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u867d\u7136\u5706\u73af\u3001\u87ba\u65cb\u7b49\u7ed3\u6784\u5bb9\u6613\u7406\u89e3\uff0c\u4f46\u5e76\u975e\u6240\u6709\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u8868\u793a\u90fd\u80fd\u591f\u7528\u7b80\u5355\u5f62\u72b6\u63cf\u8ff0\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2019\u5e74\u300aNature\u300b\u8bba\u6587\u300aHigh-dimensional geometry of population responses in visual cortex\u300b\u5206\u6790\u4e86\u771f\u5b9e\u89c6\u89c9\u76ae\u5c42\u795e\u7ecf\u5143\u5bf9\u81ea\u7136\u56fe\u50cf\u7684\u53cd\u5e94\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7814\u7a76\u53d1\u73b0\uff0c\u795e\u7ecf\u7fa4\u4f53\u6d3b\u52a8\u5177\u6709\u590d\u6742\u7684\u9ad8\u7ef4\u7edf\u8ba1\u7ed3\u6784\uff0c\u5176\u4e3b\u6210\u5206\u65b9\u5dee\u5448\u73b0\u7279\u5b9a\u7684\u5e42\u5f8b\u8870\u51cf\u5173\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u8bf4\u660e\uff0c\u9ad8\u7ef4\u8868\u793a\u672c\u8eab\u4e5f\u53ef\u80fd\u5177\u6709\u91cd\u8981\u7684\u4fe1\u606f\u7f16\u7801\u4ef7\u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u771f\u5b9e\u4e16\u754c\u7684\u590d\u6742\u4efb\u52a1\uff0c\u795e\u7ecf\u7f51\u7edc\u53ef\u80fd\u540c\u65f6\u5b58\u5728\u4f4e\u7ef4\u548c\u9ad8\u7ef4\u7ed3\u6784\uff1a\u67d0\u4e9b\u7279\u5b9a\u6982\u5ff5\u4f4d\u4e8e\u7b80\u5355\u7684\u4f4e\u7ef4\u5b50\u7a7a\u95f4\uff0c\u800c\u6574\u4f53\u8868\u793a\u4ecd\u7136\u5177\u6709\u5f88\u9ad8\u7684\u6709\u6548\u7ef4\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b64\u5916\uff0c\u51e0\u4f55\u7ed3\u6784\u8fd8\u5b58\u5728\u5750\u6807\u9009\u62e9\u95ee\u9898\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u6a21\u578b\u5185\u90e8\u7684\u8868\u793a\u53ef\u4ee5\u7ecf\u8fc7\u67d0\u4e9b\u53ef\u9006\u53d8\u6362\uff0c\u800c\u6a21\u578b\u6574\u4f53\u529f\u80fd\u5e76\u4e0d\u6539\u53d8\uff1b\u4f46\u53d8\u6362\u540e\u7684\u6b27\u6c0f\u8ddd\u79bb\u3001\u89d2\u5ea6\u548c\u53ef\u89c6\u5316\u5f62\u6001\u53ef\u80fd\u53d1\u751f\u53d8\u5316\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u4e0d\u80fd\u628a\u67d0\u6b21\u964d\u7ef4\u6240\u5f97\u7684\u5f62\u72b6\uff0c\u76f4\u63a5\u89c6\u4e3a\u6a21\u578b\u5185\u90e8\u552f\u4e00\u3001\u5ba2\u89c2\u4e14\u4e0d\u53d8\u7684\u51e0\u4f55\u5f62\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u6b63\u91cd\u8981\u7684\uff0c\u662f\u90a3\u4e9b\u80fd\u591f\u8de8\u4e0d\u540c\u6761\u4ef6\u7a33\u5b9a\u5b58\u5728\uff0c\u5e76\u4e0e\u8ba1\u7b97\u529f\u80fd\u5efa\u7acb\u660e\u786e\u8054\u7cfb\u7684\u7ed3\u6784\u6027\u8d28\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5341\u4e09\u3001\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u5bf9AI for Science\u7684\u4ef7\u503c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8eAI for Science\u800c\u8a00\uff0c\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u63d0\u4f9b\u4e86\u4e00\u79cd\u65b0\u7684\u7814\u7a76\u601d\u8def\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f20\u7edf\u79d1\u5b66\u673a\u5668\u5b66\u4e60\u4e3b\u8981\u5173\u6ce8\u6a21\u578b\u80fd\u5426\u51c6\u786e\u9884\u6d4b\u5b9e\u9a8c\u7ed3\u679c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u5728\u79d1\u5b66\u7814\u7a76\u4e2d\uff0c\u9884\u6d4b\u5e76\u4e0d\u7b49\u540c\u4e8e\u7406\u89e3\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679cAI\u80fd\u591f\u51c6\u786e\u9884\u6d4b\u4e00\u79cd\u590d\u6742\u7269\u7406\u73b0\u8c61\uff0c\u5374\u65e0\u6cd5\u89e3\u91ca\u5176\u4f9d\u636e\uff0c\u90a3\u4e48\u5b83\u5728\u672a\u77e5\u6761\u4ef6\u4e0b\u7684\u53ef\u9760\u6027\u4ecd\u7136\u96be\u4ee5\u5224\u65ad\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u5c1d\u8bd5\u4ece\u53e6\u4e00\u4e2a\u65b9\u5411\u7a81\u7834\u8fd9\u4e00\u95ee\u9898\uff1a\u89c2\u5bdf\u6a21\u578b\u5185\u90e8\u5f62\u6210\u4e86\u600e\u6837\u7684\u8868\u793a\u7ed3\u6784\uff0c\u518d\u7814\u7a76\u8fd9\u4e9b\u7ed3\u6784\u662f\u5426\u5bf9\u5e94\u73b0\u5b9e\u4e16\u754c\u7684\u6570\u5b66\u89c4\u5f8b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6838\u8d28\u91cf\u9884\u6d4b\u6a21\u578b\u7684\u53cc\u87ba\u65cb\u7814\u7a76\uff0c\u5c31\u662f\u8fd9\u4e00\u65b9\u5411\u7684\u4ee3\u8868\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7c7b\u4f3c\u7684\u65b9\u6cd5\u4e5f\u5177\u6709\u62d3\u5c55\u5230\u5206\u5b50\u6027\u8d28\u9884\u6d4b\u3001\u6750\u6599\u79d1\u5b66\u3001\u52a8\u529b\u7cfb\u7edf\u3001\u673a\u5668\u4eba\u8fd0\u52a8\u63a7\u5236\u4ee5\u53ca\u5de5\u4e1a\u8bbe\u5907\u72b6\u6001\u8bc6\u522b\u7684\u6f5c\u529b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u5728\u5de5\u4e1a\u8bbe\u5907\u6545\u969c\u8bca\u65ad\u4e2d\uff0c\u53ef\u4ee5\u7814\u7a76\u795e\u7ecf\u7f51\u7edc\u5185\u90e8\u8868\u793a\u662f\u5426\u5f62\u6210\u4e0e\u5de5\u4f5c\u5468\u671f\u3001\u8fd0\u52a8\u9636\u6bb5\u3001\u6545\u969c\u4e25\u91cd\u7a0b\u5ea6\u6216\u4e0d\u540c\u5de5\u51b5\u6709\u5173\u7684\u6709\u5e8f\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u80fd\u591f\u53d1\u73b0\u7a33\u5b9a\u7684\u5468\u671f\u8f68\u8ff9\u3001\u72b6\u6001\u6d41\u5f62\u6216\u6545\u969c\u6f14\u5316\u65b9\u5411\uff0c\u5c31\u6709\u53ef\u80fd\u8fdb\u4e00\u6b65\u7406\u89e3\u6a21\u578b\u5982\u4f55\u533a\u5206\u6b63\u5e38\u8fd0\u884c\u3001\u6e10\u8fdb\u9000\u5316\u4e0e\u5f02\u5e38\u72b6\u6001\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\uff0c\u5b9e\u9645\u8bbe\u5907\u4fe1\u53f7\u5f80\u5f80\u53d7\u5230\u8d1f\u8f7d\u3001\u901f\u5ea6\u3001\u6e29\u5ea6\u548c\u73af\u5883\u566a\u58f0\u7b49\u56e0\u7d20\u5f71\u54cd\u3002\u7531\u6b64\u89c2\u5bdf\u5230\u7684\u51e0\u4f55\u5173\u7cfb\uff0c\u5fc5\u987b\u7ecf\u8fc7\u72ec\u7acb\u5de5\u51b5\u6570\u636e\u548c\u9488\u5bf9\u6027\u7684\u5b9e\u9a8c\u9a8c\u8bc1\uff0c\u624d\u80fd\u83b7\u5f97\u5de5\u7a0b\u610f\u4e49\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5341\u56db\u3001\u7ed3\u8bed\uff1a\u4ece\u795e\u7ecf\u7f51\u7edc\u7684\u51e0\u4f55\u5f62\u72b6\u5bfb\u627e\u667a\u80fd\u7684\u8ba1\u7b97\u89c4\u5f8b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u6b63\u5728\u6539\u53d8\u4eba\u4eec\u7406\u89e3\u6df1\u5ea6\u5b66\u4e60\u7684\u4e00\u79cd\u4f20\u7edf\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fc7\u53bb\uff0c\u7814\u7a76\u8005\u66f4\u591a\u5173\u6ce8\u795e\u7ecf\u5143\u3001\u7f51\u7edc\u5c42\u3001\u6743\u91cd\u548c\u6ce8\u610f\u529b\u673a\u5236\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u4eca\uff0c\u4e00\u4e2a\u65b0\u7684\u89c2\u5bdf\u89d2\u5ea6\u6b63\u5728\u5f62\u6210\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u795e\u7ecf\u7f51\u7edc\u4e0d\u4ec5\u662f\u5728\u8c03\u6574\u5927\u91cf\u53c2\u6570\uff0c\u8fd8\u53ef\u80fd\u5728\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u6784\u9020\u9002\u5408\u4efb\u52a1\u7684\u51e0\u4f55\u8868\u793a\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5468\u671f\u6027\u4fe1\u606f\u53ef\u80fd\u5f62\u6210\u5706\u73af\uff0c\u591a\u4e2a\u5468\u671f\u53d8\u91cf\u53ef\u80fd\u4ea7\u751f\u73af\u9762\uff0c\u5206\u7c7b\u7279\u5f81\u53ef\u80fd\u8d8b\u5411\u89c4\u5219\u591a\u9762\u4f53\uff0c\u800c\u67d0\u4e9b\u79d1\u5b66\u9884\u6d4b\u4efb\u52a1\u5219\u53ef\u80fd\u5f62\u6210\u66f4\u590d\u6742\u7684\u87ba\u65cb\u6216\u6d41\u5f62\u7ed3\u6784\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\uff0c\u6f02\u4eae\u7684\u51e0\u4f55\u5f62\u72b6\u53ea\u662f\u7814\u7a76\u7684\u8d77\u70b9\uff0c\u800c\u4e0d\u662f\u7ec8\u70b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u6b63\u6709\u4ef7\u503c\u7684\u7814\u7a76\uff0c\u9700\u8981\u8bc1\u660e\u8fd9\u4e9b\u7ed3\u6784\u5982\u4f55\u5f62\u6210\u3001\u8868\u8fbe\u4ec0\u4e48\u4fe1\u606f\u3001\u53c2\u4e0e\u54ea\u4e9b\u8ba1\u7b97\uff0c\u4ee5\u53ca\u80fd\u5426\u5e2e\u52a9\u4eba\u7c7b\u5efa\u7acb\u65b0\u7684\u6570\u5b66\u6a21\u578b\u548c\u79d1\u5b66\u89e3\u91ca\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4ece\u53d1\u73b0\u5f62\u72b6\uff0c\u5230\u7406\u89e3\u673a\u5236\uff0c\u518d\u5230\u63d0\u53d6\u89c4\u5f8b\uff0c\u8fd9\u6216\u8bb8\u662f\u795e\u7ecf\u7f51\u7edc\u8868\u5f81\u51e0\u4f55\u5b66\u6700\u503c\u5f97\u5173\u6ce8\u7684\u53d1\u5c55\u65b9\u5411\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8eAI for Science\u800c\u8a00\uff0c\u5b83\u6240\u6307\u5411\u7684\u76ee\u6807\u5c24\u4e3a\u91cd\u8981\uff1a\u4e0d\u4ec5\u8ba9AI\u7ed9\u51fa\u6b63\u786e\u7b54\u6848\uff0c\u8fd8\u8981\u5c3d\u53ef\u80fd\u63ed\u793a\u7b54\u6848\u80cc\u540e\u53ef\u4ee5\u88ab\u4eba\u7c7b\u7406\u89e3\u3001\u68c0\u9a8c\u548c\u5229\u7528\u7684\u79d1\u5b66\u89c4\u5f8b\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u53c2\u8003\u8d44\u6599<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e01\uff5cInterpretable AI reveals hidden structure in nuclear masses\uff082026\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.nature.com\/articles\/s44488-026-00017-9\">https:\/\/www.nature.com\/articles\/s44488-026-00017-9<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e02\uff5cNuclear_DNA \u2014 GitHub Research Code<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/github.com\/strifinopoulos\/Nuclear_DNA\">https:\/\/github.com\/strifinopoulos\/Nuclear_DNA<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e03\uff5cTowards Understanding Grokking: An Effective Theory of Representation Learning\uff082022\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/abs\/2205.10343\">https:\/\/arxiv.org\/abs\/2205.10343<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e04\uff5cProgress measures for grokking via mechanistic interpretability\uff082023\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/abs\/2301.05217\">https:\/\/arxiv.org\/abs\/2301.05217<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e05\uff5cNot All Language Model Features Are One-Dimensionally Linear\uff08ICLR 2025\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/abs\/2405.14860\">https:\/\/arxiv.org\/abs\/2405.14860<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e06\uff5cThe Origins of Representation Manifolds in Large Language Models\uff082025\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/abs\/2505.18235\">https:\/\/arxiv.org\/abs\/2505.18235<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e07\uff5cVisualizing LLM Latent Space Geometry Through Dimensionality Reduction\uff082025\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/abs\/2511.21594\">https:\/\/arxiv.org\/abs\/2511.21594<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e08\uff5cPrevalence of neural collapse during the terminal phase of deep learning training\uff08PNAS\uff0c2020\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/doi.org\/10.1073\/pnas.2015509117\">https:\/\/doi.org\/10.1073\/pnas.2015509117<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e09\uff5cToy Models of Superposition\uff082022\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.anthropic.com\/research\/toy-models-of-superposition\">https:\/\/www.anthropic.com\/research\/toy-models-of-superposition<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e10\uff5cExcitatory-inhibitory recurrent dynamics produce robust visual grids and stable attractors\uff08Cell Reports\uff0c2022\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/doi.org\/10.1016\/j.celrep.2022.111777\">https:\/\/doi.org\/10.1016\/j.celrep.2022.111777<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e11\uff5cToroidal topology of population activity in grid cells\uff08Nature\uff0c2022\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.nature.com\/articles\/s41586-021-04268-7\">https:\/\/www.nature.com\/articles\/s41586-021-04268-7<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e12\uff5cHigh-dimensional geometry of population responses in visual cortex\uff08Nature\uff0c2019\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.nature.com\/articles\/s41586-019-1346-5\">https:\/\/www.nature.com\/articles\/s41586-019-1346-5<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e13\uff5cSimilarity of Neural Network Representations Revisited\uff08ICML\uff0c2019\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/proceedings.mlr.press\/v97\/kornblith19a.html\">https:\/\/proceedings.mlr.press\/v97\/kornblith19a.html<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e14\uff5cRepresentational similarity analysis \u2013 connecting the branches of systems neuroscience\uff082008\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/doi.org\/10.3389\/neuro.06.004.2008\">https:\/\/doi.org\/10.3389\/neuro.06.004.2008<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6587\u732e15\uff5cPosition: The Platonic Representation Hypothesis\uff08ICML\uff0c2024\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/proceedings.mlr.press\/v235\/huh24a.html\">https:\/\/proceedings.mlr.press\/v235\/huh24a.html<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u957f\u671f\u4ee5\u6765\uff0c\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\u88ab\u89c6\u4e3a\u4e00\u79cd\u201c\u9ed1\u7bb1\u201d\uff1a\u6211\u4eec\u77e5\u9053\u5b83\u80fd\u591f\u5b8c\u6210\u9884\u6d4b\u3001\u5206\u7c7b\u548c\u63a8\u7406\uff0c\u5374\u96be\u4ee5\u89e3\u91ca\u5176\u5185\u90e8\u7a76\u7adf\u5982\u4f55\u7ec4\u7ec7\u4fe1\u606f 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