{"id":1069818,"date":"2022-07-21T22:34:00","date_gmt":"2022-07-22T05:34:00","guid":{"rendered":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/?post_type=msr-blog-post&#038;p=1069818"},"modified":"2024-09-25T01:35:13","modified_gmt":"2024-09-25T08:35:13","slug":"icml-2022","status":"publish","type":"msr-blog-post","link":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/articles\/icml-2022\/","title":{"rendered":"ICML 2022 | \u673a\u5668\u5b66\u4e60\u524d\u6cbf\u8bba\u6587\u7cbe\u9009\uff01"},"content":{"rendered":"\n<p>\u7f16\u8005\u6309\uff1aICML \u88ab\u8ba4\u4e3a\u662f\u4eba\u5de5\u667a\u80fd\u3001\u673a\u5668\u5b66\u4e60\u9886\u57df\u6700\u9876\u7ea7\u7684\u56fd\u9645\u4f1a\u8bae\u4e4b\u4e00\uff0c\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u754c\u4eab\u6709\u5d07\u9ad8\u7684\u58f0\u671b\u3002ICML 2022 \u4e8e7\u670817\u65e5-23\u65e5\u4ee5\u7ebf\u4e0a\u7ebf\u4e0b\u7ed3\u5408\u7684\u65b9\u5f0f\u4e3e\u529e\u3002\u4eca\u5929\u6211\u4eec\u7cbe\u9009\u4e86\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u5728\u6b64\u6b21\u5927\u4f1a\u4e0a\u53d1\u8868\u76847\u7bc7\u8bba\u6587\uff0c\u6765\u4e3a\u5927\u5bb6\u8fdb\u884c\u7b80\u8981\u4ecb\u7ecd\uff0c\u4ece\u5f3a\u5316\u5b66\u4e60\u3001\u56fe\u795e\u7ecf\u7f51\u7edc\u3001\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u5b66\u4e60\u7b49\u5173\u952e\u8bcd\u5e26\u4f60\u4e00\u89c8\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u6700\u65b0\u6210\u679c\uff01<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5206\u652f\u5f3a\u5316\u5b66\u4e60\">\u5206\u652f\u5f3a\u5316\u5b66\u4e60<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"381\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-1-1024x381.jpg\" alt=\"paper screenshot\" class=\"wp-image-1070742\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-1-1024x381.jpg 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-1-300x112.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-1-768x286.jpg 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-1-240x89.jpg 240w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-1.jpg 1307w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2202.07995<\/p>\n\n\n\n<p>\u5f3a\u5316\u5b66\u4e60\uff08Reinforcement Learning\uff09\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u5728\u7ebf\u51b3\u7b56\u6a21\u578b\u3002\u5728\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u667a\u80fd\u4f53\u4e0e\u672a\u77e5\u7684\u73af\u5883\u8fdb\u884c\u4ea4\u4e92\uff0c\u4ee5\u83b7\u5f97\u6700\u5927\u7684\u7d2f\u79ef\u5956\u52b1\u3002\u4f20\u7edf\u5f3a\u5316\u5b66\u4e60\u662f\u4e00\u4e2a\u5355\u8def\u5f84\u7684\u5e8f\u5217\u51b3\u7b56\u6a21\u578b\uff0c\u667a\u80fd\u4f53\u5728\u4e00\u4e2a\u72b6\u6001\u4e0b\u53ea\u9009\u62e9\u4e00\u4e2a\u52a8\u4f5c\u3002\u7136\u800c\uff0c\u5728\u63a8\u8350\u7cfb\u7edf\u3001\u5728\u7ebf\u5e7f\u544a\u7b49\u8bb8\u591a\u73b0\u5b9e\u5e94\u7528\u4e2d\uff0c\u7528\u6237\u4eec\u5f80\u5f80\u4f1a\u4e00\u6b21\u9009\u62e9\u591a\u4e2a\u9009\u9879\uff0c\u6bcf\u4e2a\u9009\u9879\u4f1a\u89e6\u53d1\u5bf9\u5e94\u7684\u540e\u7ee7\u72b6\u6001\uff0c\u4f8b\u5982\uff0c\u5728\u57fa\u4e8e\u7c7b\u522b\u7684\u8d2d\u7269\u63a8\u8350\u4e2d\uff0c\u7cfb\u7edf\u5f80\u5f80\u4f1a\u5148\u63a8\u8350\u4e00\u4e9b\u5546\u54c1\u7684\u4e00\u7ea7\u7c7b\u522b\uff0c\u5f53\u67d0\u4e2a\u4e00\u7ea7\u7c7b\u522b\u88ab\u7528\u6237\u70b9\u51fb\u65f6\uff0c\u7cfb\u7edf\u4f1a\u8fdb\u4e00\u6b65\u63a8\u8350\u4e00\u4e9b\u4e8c\u7ea7\u7c7b\u522b\u3002\u5728\u4e00\u6b21\u8d2d\u7269\u4e2d\uff0c\u7528\u6237\u53ef\u80fd\u4f1a\u9009\u62e9\uff08\u89e6\u53d1\uff09\u591a\u6761\u7c7b\u522b-\u5546\u54c1\u8def\u5f84\uff0c\u5982\u7528\u6237\u53ef\u80fd\u4f1a\u89e6\u53d1\u201c\u529e\u516c\u8bbe\u5907-\u6253\u5370\u673a-\u6fc0\u5149\u6253\u5370\u673a\u201d\u548c\u201c\u529e\u516c\u8bbe\u5907-\u626b\u63cf\u4eea-\u5e73\u677f\u626b\u63cf\u4eea\u201d\u8fd9\u4e24\u6761\u8def\u5f84\u3002<\/p>\n\n\n\n<p>\u4e3a\u4e86\u5904\u7406\u8fd9\u79cd\u5141\u8bb8\u591a\u4e2a\u52a8\u4f5c\u548c\u591a\u4e2a\u540e\u7ee7\u72b6\u6001\u7684\u73b0\u5b9e\u573a\u666f\uff0c\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u7684\u7814\u7a76\u5458\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u3001\u6811\u72b6\u7684\u5f3a\u5316\u5b66\u4e60\u6a21\u578b\uff0c\u540d\u4e3a\u5206\u652f\u5f3a\u5316\u5b66\u4e60\uff08Branching Reinforcement Learning\uff09\u3002\u5728\u5206\u652f\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u6bcf\u4e2a\u72b6\u6001\u4e0b\uff0c\u667a\u80fd\u4f53\u53ef\u4ee5\u9009\u62e9\u591a\u4e2a\u52a8\u4f5c\uff0c\u6bcf\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u6709\u4e00\u4e2a\u6f5c\u5728\u7684\u6982\u7387\u88ab\u89e6\u53d1\u3002\u5982\u679c\u4e00\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u88ab\u6210\u529f\u89e6\u53d1\uff0c\u90a3\u4e48\u5b83\u4f1a\u6839\u636e\u5176\u6f5c\u5728\u7684\u8f6c\u79fb\u5206\u5e03\u8f6c\u79fb\u5230\u4e00\u4e2a\u5e38\u89c4\u7684\u540e\u7ee7\u72b6\u6001\uff1b\u5982\u679c\u8fd9\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u6ca1\u6709\u88ab\u6210\u529f\u89e6\u53d1\uff0c\u90a3\u5b83\u5219\u4f1a\u8f6c\u79fb\u5230\u4e00\u4e2a\u201c\u7ec8\u6b62\u72b6\u6001\u201d\uff08\u5956\u52b1\u603b\u662f\u4e3a\u96f6\u7684\u5438\u6536\u6001\uff09\u3002\u7531\u4e8e\u667a\u80fd\u4f53\u53ef\u80fd\u89e6\u53d1\u591a\u6761\u72b6\u6001-\u52a8\u4f5c\u8def\u5f84\uff0c\u56e0\u6b64\u5b83\u7684\u5386\u53f2\u5e8f\u5217\u51b3\u7b56\u5448\u73b0\u51fa\u4e00\u4e2a\u6811\u72b6\u7ed3\u6784\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"667\" height=\"245\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-2.png\" alt=\"\u56fe1\uff1a\u5206\u652f\u5f3a\u5316\u5b66\u4e60\u6a21\u578b\u793a\u610f\uff08\u5f53\u6bcf\u4e2a\u72b6\u6001\u4e0b\u5141\u8bb8\u9009\u62e9\u7684\u52a8\u4f5c\u4e2a\u6570\u4e3a2\u65f6\uff09\" class=\"wp-image-1070745\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-2.png 667w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-2-300x110.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-2-240x88.png 240w\" sizes=\"auto, (max-width: 667px) 100vw, 667px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe1\uff1a\u5206\u652f\u5f3a\u5316\u5b66\u4e60\u6a21\u578b\u793a\u610f\uff08\u5f53\u6bcf\u4e2a\u72b6\u6001\u4e0b\u5141\u8bb8\u9009\u62e9\u7684\u52a8\u4f5c\u4e2a\u6570\u4e3a2\u65f6\uff09<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u5728\u5206\u652f\u5f3a\u5316\u5b66\u4e60\u8fd9\u4e2a\u65b0\u7684\u51b3\u7b56\u6a21\u578b\u4e0b\uff0c\u7814\u7a76\u5458\u4eec\u6784\u5efa\u4e86\u5168\u65b0\u7684\u7406\u8bba\u5206\u6790\u5de5\u5177\uff0c\u5305\u62ec\u5206\u652f\u8d1d\u5c14\u66fc\u65b9\u7a0b\uff08Branching Bellman Equation\uff09\u3001\u5206\u652f\u4ef7\u503c\u5dee\u5f02\u5f15\u7406\uff08Branching Value Difference Lemma\uff09\u548c\u5206\u652f\u603b\u65b9\u5dee\u5b9a\u5f8b\uff08Branching Law of Total Variance\uff09\u3002\u7814\u7a76\u5458\u4eec\u8bbe\u8ba1\u4e86\u4e24\u79cd\u8ba1\u7b97\u548c\u91c7\u6837\u9ad8\u6548\u7684\u7b97\u6cd5 BranchVI \u548c BranchRFE\uff0c\u901a\u8fc7\u4e25\u683c\u7684\u7406\u8bba\u5206\u6790\u8bc1\u660e\u4e86\u7b97\u6cd5\u7684\u6700\u4f18\u6027\uff0c\u5e76\u5728\u5b9e\u9a8c\u4e0a\u9a8c\u8bc1\u4e86\u672c\u6587\u7684\u7406\u8bba\u7ed3\u679c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u6df1\u5165\u7814\u7a76\u7f6e\u6362\u654f\u611f\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\">\u6df1\u5165\u7814\u7a76\u7f6e\u6362\u654f\u611f\u7684\u56fe\u795e\u7ecf\u7f51\u7edc<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"555\" height=\"262\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-3.png\" alt=\"paper screenshot\" class=\"wp-image-1070748\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-3.png 555w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-3-300x142.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-3-240x113.png 240w\" sizes=\"auto, (max-width: 555px) 100vw, 555px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2205.14368<\/p>\n\n\n\n<p>\u4ee3\u7801\u94fe\u63a5\uff1ahttps:\/\/github.com\/zhongyu1998\/PG-GNN<\/p>\n\n\n\n<p>\u6f14\u793a\u94fe\u63a5\uff1ahttps:\/\/github.com\/zhongyu1998\/PG-GNN\/blob\/main\/demo.mp4<\/p>\n\n\n\n<p>\u56fe\u4e0e\u90bb\u63a5\u77e9\u9635\u7684\u7f6e\u6362\u4e0d\u53d8\u6027\u662f\u56fe\u795e\u7ecf\u7f51\u7edc\uff08GNN\uff09\u7684\u9996\u8981\u8981\u6c42\uff0c\u4f20\u7edf\u6a21\u578b\u901a\u8fc7\u7f6e\u6362\u4e0d\u53d8\u7684\u805a\u5408\u64cd\u4f5c\u6765\u6ee1\u8db3\u8fd9\u4e00\u524d\u63d0\u6761\u4ef6\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u9ad8\u5ea6\u5bf9\u79f0\u7684\u7f6e\u6362\u4e0d\u53d8\u805a\u5408\u65b9\u5f0f\u5047\u5b9a\u6240\u6709\u90bb\u5c45\u7ed3\u70b9\u7684\u5730\u4f4d\u5747\u7b49\uff0c\u53ef\u80fd\u4f1a\u5ffd\u7565\u90bb\u5c45\u7ed3\u70b9\u4e0e\u90bb\u5c45\u7ed3\u70b9\u4e4b\u95f4\u7684\u76f8\u4e92\u5173\u7cfb\uff0c\u8fdb\u800c\u963b\u788d GNN \u7684\u8868\u8fbe\u80fd\u529b\u3002<\/p>\n\n\n\n<p>\u4e0e\u7f6e\u6362\u4e0d\u53d8\u76f8\u53cd\uff0c\u7f6e\u6362\u654f\u611f\u7684\u805a\u5408\u51fd\u6570\u5bf9\u4e8e\u7ed3\u70b9\u987a\u5e8f\u975e\u5e38\u654f\u611f\uff0c\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u79cd\u201c\u5bf9\u79f0\u6027\u7834\u7f3a\u201d\u673a\u5236\uff0c\u6253\u7834\u4e86\u90bb\u5c45\u7ed3\u70b9\u7684\u5747\u7b49\u5730\u4f4d\u3002\u8fd9\u6837\u4e00\u6765\uff0c\u805a\u5408\u51fd\u6570\u53ef\u4ee5\u663e\u5f0f\u5730\u5efa\u6a21\u90bb\u5c45\u7ed3\u70b9\u4e4b\u95f4\u7684\u5185\u5728\u5173\u7cfb\uff08\u5982\u4e8c\u5143\u4f9d\u8d56\uff09\uff0c\u6355\u83b7\u4e24\u4e2a\u90bb\u5c45\u7ed3\u70b9\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u8fde\u63a5\uff0c\u4ece\u800c\u8bc6\u522b\u5e76\u5229\u7528\u5c40\u90e8\u7684\u56fe\u5b50\u7ed3\u6784\u6765\u63d0\u9ad8\u8868\u8fbe\u80fd\u529b\u3002<\/p>\n\n\n\n<p>\u5c3d\u7ba1\u7f6e\u6362\u654f\u611f\u7684\u805a\u5408\u51fd\u6570\u6bd4\u7f6e\u6362\u4e0d\u53d8\u7684\u805a\u5408\u51fd\u6570\u5177\u6709\u66f4\u52a0\u5f3a\u5927\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u4f46\u662f\u8fd8\u9700\u8981\u989d\u5916\u8003\u8651\u6240\u6709n!\u79cd\u7f6e\u6362\u6765\u4fdd\u8bc1\u6cdb\u5316\u80fd\u529b\uff0c\u5728\u8ba1\u7b97\u590d\u6742\u5ea6\u4e0a\u9762\u4e34\u7740\u5de8\u5927\u7684\u6311\u6218\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0c\u672c\u6587\u5229\u7528\u7f6e\u6362\u7fa4\uff08permutation group\uff09\u8bbe\u8ba1\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u7f6e\u6362\u654f\u611f\u805a\u5408\u673a\u5236\uff0c\u901a\u8fc7\u7f6e\u6362\u91c7\u6837\u7b56\u7565\u91c7\u6837\u5c11\u91cf\u5177\u6709\u4ee3\u8868\u6027\u7684\u7f6e\u6362\uff0c\u6355\u83b7\u90bb\u5c45\u4e0e\u90bb\u5c45\u4e4b\u95f4\u7684\u4e8c\u5143\u4f9d\u8d56\uff0c\u4ece\u800c\u9ad8\u6548\u5730\u63d0\u5347 GNN \u7684\u8868\u8fbe\u80fd\u529b\uff1a\u7814\u7a76\u5458\u4eec\u8bc1\u660e\u4e86\u6240\u63d0\u51fa\u7684\u65b9\u6cd5\u4e25\u683c\u5730\u6bd4\u4e8c\u7ef4 Weisfeiler-Lehman\uff082-WL\uff09\u56fe\u540c\u6784\u6d4b\u8bd5\u66f4\u5f3a\u5927\uff0c\u5e76\u4e14\u80fd\u591f\u533a\u5206\u4e00\u4e9b 3-WL \u6d4b\u8bd5\u65e0\u6cd5\u533a\u5206\u7684\u975e\u540c\u6784\u56fe\u5bf9\uff1b\u6b64\u5916\uff0c\u76f8\u6bd4\u4e8e\u4f20\u7edf\u65b9\u6cd5\u9700\u8981\u8003\u8651\u6240\u6709 n! \u79cd\u7f6e\u6362\uff0c\u672c\u6587\u6240\u63d0\u51fa\u7684\u65b9\u6cd5\u80fd\u591f\u8fbe\u5230\u7ebf\u6027\u7684\u7f6e\u6362\u91c7\u6837\u590d\u6742\u5ea6\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"570\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-4-1024x570.png\" alt=\"\u56fe2\uff1a\u8003\u8651\u4e2d\u5fc3\u7ed3\u70b9 v \u548c5\u4e2a\u90bb\u5c45\u7ed3\u70b9\u7684\u7b80\u5355\u6a21\u578b\u793a\u4f8b\" class=\"wp-image-1070751\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-4-1024x570.png 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-4-300x167.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-4-768x427.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-4-240x134.png 240w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-4.png 1475w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe2\uff1a\u8003\u8651\u4e2d\u5fc3\u7ed3\u70b9 v \u548c5\u4e2a\u90bb\u5c45\u7ed3\u70b9\u7684\u7b80\u5355\u6a21\u578b\u793a\u4f8b<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u7efc\u5408\u800c\u8a00\uff0c\u672c\u6587\u57fa\u4e8e\u7f6e\u6362\u654f\u611f\u7684\u805a\u5408\u673a\u5236\u8bbe\u8ba1\u4e86\u4e00\u79cd\u5f3a\u5927\u800c\u9ad8\u6548\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\uff0c\u5b83\u5728\u4fdd\u8bc1\u8868\u8fbe\u80fd\u529b\u7684\u540c\u65f6\uff0c\u5148\u540e\u501f\u52a9\u8fd1\u4f3c\u7f6e\u6362\u4e0d\u53d8\u6027\u7684\u601d\u60f3\u4e0e\u7ebf\u6027\u7f6e\u6362\u91c7\u6837\u7b56\u7565\uff0c\u663e\u8457\u964d\u4f4e\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\u3002\u5982\u4f55\u5229\u7528\u7f6e\u6362\u654f\u611f\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\u5728\u8868\u8fbe\u80fd\u529b\u4e0a\u7684\u5929\u7136\u4f18\u52bf\uff0c\u5728\u8868\u8fbe\u80fd\u529b\u548c\u8ba1\u7b97\u590d\u6742\u5ea6\u4e4b\u95f4\u5bfb\u627e\u5747\u8861\uff0c\u5c06\u662f\u672a\u6765\u5bcc\u6709\u524d\u666f\u7684\u7814\u7a76\u65b9\u5411\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u57fa\u4e8ehouseholder\u53c2\u6570\u5316\u7684\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u5b66\u4e60\u65b9\u6cd5\">\u57fa\u4e8eHouseholder\u53c2\u6570\u5316\u7684\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u5b66\u4e60\u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"276\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-1024x276.jpg\" alt=\"paper screenshot\" class=\"wp-image-1070754\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-1024x276.jpg 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-300x81.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-768x207.jpg 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-1536x414.jpg 1536w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-2048x553.jpg 2048w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-5-240x65.jpg 240w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1a<\/p>\n\n\n\n<p><a class=\"msr-external-link glyph-append glyph-append-open-in-new-tab glyph-append-xsmall\" rel=\"noopener noreferrer\" target=\"_blank\" href=\"https:\/\/arxiv.org\/abs\/2202.07919\">https:\/\/arxiv.org\/abs\/2202.07919<span class=\"sr-only\"> (opens in new tab)<\/span><\/a><\/p>\n\n\n\n<p>\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u5b66\u4e60\u662f\u4e00\u79cd\u6709\u6548\u7f13\u89e3\u77e5\u8bc6\u56fe\u8c31\u4e0d\u5b8c\u6574\u95ee\u9898\u7684\u6709\u6548\u65b9\u6cd5\u3002\u672c\u6587\u5bf9\u73b0\u6709\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u65b9\u6cd5\u7684\u5efa\u6a21\u80fd\u529b\u8fdb\u884c\u4e86\u5206\u6790\uff1a\uff081\uff09\u73b0\u6709\u65b9\u6cd5\u4e2d\u7684\u5173\u7cfb\u65cb\u8f6c\u56fa\u5b9a\u4e8e\u4f4e\u7ef4\u7a7a\u95f4\uff0c\u8fd9\u5f88\u5927\u7a0b\u5ea6\u5730\u9650\u5236\u4e86\u6a21\u578b\u7684\u5efa\u6a21\u80fd\u529b\uff1b\uff082\uff09\u73b0\u6709\u65b9\u6cd5\u65e0\u6cd5\u5168\u9762\u5730\u5efa\u6a21\u77e5\u8bc6\u56fe\u8c31\u4e2d\u91cd\u8981\u7684\u5173\u7cfb\u6a21\u5f0f\u4e0e\u6620\u5c04\u5c5e\u6027\u3002<\/p>\n\n\n\n<p>\u4e3a\u89e3\u51b3\u4ee5\u4e0a\u4e24\u4e2a\u95ee\u9898\uff0c\u672c\u6587\u5f15\u5165\u4e86 Householder \u53cd\u5c04\u53d8\u6362\u4f5c\u4e3a\u57fa\u672c\u6570\u5b66\u5de5\u5177\uff0c\u5e76\u57fa\u4e8e\u6b64\u8fdb\u4e00\u6b65\u8bbe\u8ba1\u4e86\u4e24\u79cd\u7ebf\u6027\u53d8\u6362\u4f5c\u4e3a\u77e5\u8bc6\u56fe\u8c31\u4e2d\u7684\u5173\u7cfb\u8868\u793a\uff1a\uff081\uff09\u7531\u591a\u4e2a Householder \u53cd\u5c04\u7ec4\u5408\u800c\u6210\u7684 Householder \u65cb\u8f6c\uff0c\u53ef\u6269\u5c55\u81f3\u4efb\u610f\u9ad8\u7ef4\u7a7a\u95f4\uff0c\u5b9e\u73b0\u5f3a\u5927\u7684\u5efa\u6a21\u80fd\u529b\uff1b\uff082\uff09\u7531\u539f\u59cb Householder \u53cd\u5c04\u4fee\u6539\u5f97\u5230\u7684 Householder \u6295\u5f71\uff0c\u53ef\u8d4b\u4e88\u6a21\u578b\u5efa\u6a21\u590d\u6742\u5173\u7cfb\u6620\u5c04\u5c5e\u6027\u7684\u80fd\u529b\uff0c\u540c\u65f6\u4fdd\u6301\u6a21\u578b\u5bf9\u91cd\u8981\u5173\u7cfb\u6a21\u5f0f\u7684\u5efa\u6a21\u80fd\u529b\u3002<\/p>\n\n\n\n<p>\u5728\u6b64 Householder \u6846\u67b6\u4e0b\uff0c\u672c\u6587\u5f97\u4ee5\u63d0\u51fa\u4e86\u4e00\u4e2a\u5177\u6709\u66f4\u5f3a\u5927\u3001\u66f4\u5168\u9762\u5efa\u6a21\u80fd\u529b\u7684 KGE \u6a21\u578b\uff0c\u540d\u4e3a HousE\u3002HousE \u5c06\u5173\u7cfb\u5efa\u6a21\u4e3a\u5b9e\u4f53\u95f4\u7684\u4e24\u9636\u6bb5\u53d8\u6362\uff0c\u5982\u56fe3\u6240\u793a\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u4e09\u5143\u7ec4\uff0cHousE \u9996\u5148\u901a\u8fc7 Householder \u5173\u7cfb\u6295\u5f71\u5f97\u5230\u5173\u7cfb\u7279\u5b9a\u7684\u5934\u5c3e\u5b9e\u4f53\u8868\u793a\uff0c\u7136\u540e\u5728\u6295\u5f71\u540e\u7684\u5934\u5c3e\u5b9e\u4f53\u4e4b\u95f4\u5efa\u6a21 Householder \u5173\u7cfb\u65cb\u8f6c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"262\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-6-1024x262.png\" alt=\"\u56fe3\uff1a(a) \u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7684Householder\u53cd\u5c04\uff1b\uff08b\uff09\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7684 Householder \u65cb\u8f6c\uff1b\uff08c\uff09\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u4e0d\u540c \u03c4 \u503c\u4e0b\u5bf9\u5e94\u7684 Householder \u6295\u5f71\uff1b\uff08d\uff09HousE \u56fe\u793a\uff1a\u4e3a\u4e86\u5efa\u6a21\u4e09\u5143\u7ec4(h, r, t_1)\u548c(h, r, t_2)\uff0cHousE \u9996\u5148\u5229\u7528 Householder \u6295\u5f71\uff08Pro-H1 \u548c Pro-H2\uff09\u6539\u53d8\u5b9e\u4f53\u95f4\u7684\u76f8\u5bf9\u8ddd\u79bb\uff0c\u7136\u540e\u5bf9\u6295\u5f71\u540e\u7684\u5934\u5b9e\u4f53\u8868\u793a S_(h,r) \u8fdb\u884c Householder \u65cb\u8f6c\uff08Rot-H\uff09\uff0c\u4f7f\u5176\u4e0e\u6295\u5f71\u540e\u7684\u5c3e\u5b9e\u4f53\u8868\u793a\u5c3d\u53ef\u80fd\u76f8\u8fd1\u3002\" class=\"wp-image-1070757\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-6-1024x262.png 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-6-300x77.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-6-768x197.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-6-240x61.png 240w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-6.png 1442w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe3\uff1a(a) \u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7684Householder\u53cd\u5c04\uff1b\uff08b\uff09\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u7684 Householder \u65cb\u8f6c\uff1b\uff08c\uff09\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u4e0d\u540c \u03c4 \u503c\u4e0b\u5bf9\u5e94\u7684 Householder \u6295\u5f71\uff1b\uff08d\uff09HousE \u56fe\u793a\uff1a\u4e3a\u4e86\u5efa\u6a21\u4e09\u5143\u7ec4(h, r, t_1)\u548c(h, r, t_2)\uff0cHousE \u9996\u5148\u5229\u7528 Householder \u6295\u5f71\uff08Pro-H1 \u548c Pro-H2\uff09\u6539\u53d8\u5b9e\u4f53\u95f4\u7684\u76f8\u5bf9\u8ddd\u79bb\uff0c\u7136\u540e\u5bf9\u6295\u5f71\u540e\u7684\u5934\u5b9e\u4f53\u8868\u793a S_(h,r) \u8fdb\u884c Householder \u65cb\u8f6c\uff08Rot-H\uff09\uff0c\u4f7f\u5176\u4e0e\u6295\u5f71\u540e\u7684\u5c3e\u5b9e\u4f53\u8868\u793a\u5c3d\u53ef\u80fd\u76f8\u8fd1\u3002<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u6587\u7ae0\u4ece\u7406\u8bba\u4e0a\u8bc1\u660e\u4e86 HousE \u53ef\u4ee5\u5efa\u6a21\u77e5\u8bc6\u56fe\u8c31\u4e2d\u7684\u91cd\u8981\u5173\u7cfb\u6a21\u5f0f\u548c\u590d\u6742\u6620\u5c04\u5c5e\u6027\uff0c\u5e76\u4e14\u80fd\u591f\u81ea\u7136\u5730\u5c06\u65cb\u8f6c\u53d8\u6362\u6269\u5c55\u5230\u4efb\u610f\u9ad8\u7ef4\u7a7a\u95f4\uff0c\u662f\u73b0\u6709\u57fa\u4e8e\u65cb\u8f6c\u7684\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u6a21\u578b\u7684\u63a8\u5e7f\u3002\u5b9e\u9a8c\u4e0a\uff0cHousE \u5728\u4e94\u4e2a\u516c\u5f00\u6570\u636e\u96c6\u4e0a\u5747\u53d6\u5f97\u4e86\u6700\u65b0\u7684 SOTA \u6027\u80fd\uff0c\u66f4\u591a\u5b9e\u9a8c\u7ed3\u679c\uff08\u5982\u7ec6\u7c92\u5ea6\u6027\u80fd\u5206\u6790\u5b9e\u9a8c\u7b49\uff09\u4e5f\u8fdb\u4e00\u6b65\u9a8c\u8bc1\u4e86 Householder \u6846\u67b6\u6240\u5e26\u6765\u7684\u5f3a\u5927\u5efa\u6a21\u80fd\u529b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"clofnet-\u5177\u6709\u5b8c\u5907\u5c40\u90e8\u6807\u67b6\u7684se-3-\u7b49\u53d8\u56fe\u7f51\u7edc\">ClofNet\uff1a\u5177\u6709\u5b8c\u5907\u5c40\u90e8\u6807\u67b6\u7684SE(3)\u7b49\u53d8\u56fe\u7f51\u7edc<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"269\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-1024x269.jpg\" alt=\"paper screenshot\" class=\"wp-image-1070760\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-1024x269.jpg 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-300x79.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-768x202.jpg 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-1536x404.jpg 1536w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-2048x539.jpg 2048w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-7-240x63.jpg 240w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2110.14811<\/p>\n\n\n\n<p>\u00ad\u7fa4\u7b49\u53d8\u6027\u8d28\u5982\u7f6e\u6362\u4e0d\u53d8\u3001\u5e73\u79fb\u65cb\u8f6c\u7b49\u53d8\u6027\uff08\u53c8\u79f0 SE(3) \u7fa4\u7b49\u53d8\uff09\uff0c\u662f\u8bb8\u591a 3D \u591a\u4f53\u7269\u7406\u7cfb\u7edf\uff08\u5982\u5206\u5b50\u52a8\u529b\u7cfb\u7edf\uff09\u5177\u6709\u7684\u6027\u8d28\u3002\u7b49\u53d8\u56fe\u7f51\u7edc\u662f\u4e00\u7c7b\u6ee1\u8db3\u7fa4\u7b49\u53d8\u6027\u8d28\u7684\u673a\u5668\u5b66\u4e60\u6a21\u578b\uff0c\u5e38\u7528\u4e8e 3D \u591a\u4f53\u7269\u7406\u7cfb\u7edf\u7684\u6027\u8d28\u9884\u6d4b\u3001\u6784\u50cf\u751f\u6210\u7b49\u4efb\u52a1\u3002\u7fa4\u7b49\u53d8\u6a21\u578b\u662f\u6307\u6a21\u578b\u7684\u8f93\u5165\u8f93\u51fa\u5173\u4e8e\u7fa4\u4f5c\u7528\u662f\u7b49\u53d8\u7684\uff0c\u5373 \u03d5_NN (T_g (x))=S_g (\u03d5_NN (x))\uff0c\u5176\u4e2d T_g \u548c S_g \u662f\u7fa4\u5143\u7d20 g \u5bf9\u5e94\u7684\u7fa4\u4f5c\u7528\u3002\u4e00\u4e2a\u4f20\u7edf\u8bbe\u8ba1\u7b49\u53d8\u6a21\u578b\u7684\u65b9\u5f0f\u662f\u4ec5\u4f5c\u7528\u975e\u7ebf\u6027\u53d8\u6362\u5728\u8282\u70b9\u8ddd\u79bb\u4e0a\uff08\u4f8b\u5982 Radial Nework, Schnet, EGNN \u7b49\uff09\uff0c\u5e76\u5229\u7528\u90bb\u5c45\u8282\u70b9\u5750\u6807\u4e3a\u6807\u67b6\u6765\u8868\u793a\u5411\u91cf\u4fe1\u606f\u3002\u672c\u6587\u6307\u51fa\uff0c\u8fd9\u7c7b\u6a21\u578b\u867d\u7136\u8ba1\u7b97\u9ad8\u6548\uff0c\u4f46\u4f1a\u5b58\u5728\u65b9\u5411\u9000\u5316\u3001\u8868\u8fbe\u529b\u4e0d\u8db3\u7684\u95ee\u9898\u3002\u672c\u6587\u4ece\u7b49\u53d8\u56fe\u7f51\u7edc\u7684\u8868\u8fbe\u80fd\u529b\u51fa\u53d1\uff0c\u8bbe\u8ba1\u4e86\u4e00\u7ec4 3D \u7b49\u53d8\u5c40\u90e8\u6807\u67b6 ClofNet\uff0c\u89e3\u51b3\u4e86\u4e00\u7c7b SE(3) \u7b49\u53d8\u56fe\u7f51\u7edc\u8868\u8fbe\u529b\u4e0d\u8db3\u7684\u95ee\u9898\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"271\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-8-1024x271.png\" alt=\"\u56fe4\uff1aClofNet \u793a\u610f\u56fe\" class=\"wp-image-1070763\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-8-1024x271.png 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-8-300x79.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-8-768x203.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-8-240x64.png 240w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-8.png 1330w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe4\uff1aClofNet \u793a\u610f\u56fe<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u5177\u4f53\u5730\uff0c\u5bf9\u4e8e\u7ed9\u5b9a 3D \u56fe\uff0c\u9996\u5148\u5bf9\u4f4d\u7f6e\u5750\u6807\u8fdb\u884c\u53bb\u4e2d\u5fc3\u5316\uff0c\u5c06\u7cfb\u7edf\u8d28\u5fc3\u79fb\u52a8\u81f3\u539f\u70b9\uff0c\u8fd9\u4e00\u64cd\u4f5c\u4fdd\u8bc1\u4e86\u7ed3\u679c\u7684\u5e73\u79fb\u4e0d\u53d8\u6027\u3002\u7136\u540e\u7ed9\u5b9a\u76f8\u90bb\u7c92\u5b50\u5bf9\u4f4d\u7f6e\u5750\u6807 (x_i,x_j)\uff0c\u5efa\u7acb\u5c40\u90e8\u7b49\u53d8\u6807\u67b6 (a_ij, b_ij, c_ij )\uff0c\u5176\u4e2d a_ij=(x_i-x_j)\/(||x_i-x_j||), b_ij=(x_i\u00d7x_j)\/(||x_i\u00d7x_j ||), c_ij=a_ij\u00d7b_ij\u3002\u7531\u4e8e\u53c9\u4e58\u8fd0\u7b97\u7684\u6027\u8d28\uff0c(a_ij, b_ij, c_ij)\u6784\u6210\u4e86\u4e00\u7ec4\u76f8\u4e92\u6b63\u4ea4\u7684 3D \u6807\u67b6\u3002\u5728\u6784\u5efa\u5c40\u90e8\u6807\u67b6\u540e\uff0cClofNet \u5c06\u8282\u70b9 i, j \u5bf9\u5e94\u7684\u5f20\u91cf\u4fe1\u606f\u5411\u6807\u67b6\u6295\u5f71\uff0c\u5f97\u5230\u4e00\u7ec4\u6807\u91cf s_ij=Scalarize(X_i, X_j, (a_ij, b_ij, c_ij))\uff0c\u4f8b\u5982\u8282\u70b9 i \u7684\u5750\u6807\u6295\u5f71\u540e\u83b7\u5f97\u6807\u91cf\u27e8x_i, a_ij\u27e9,\u27e8x_i, b_ij \u27e9,\u27e8x_i, c_ij\u27e9\u3002\u6807\u91cf\u4fe1\u606f\u7ecf\u795e\u7ecf\u7f51\u7edc\u4f5c\u7528\uff0c\u8f93\u51fa\u5c40\u90e8\u6807\u67b6\u7684\u7cfb\u6570\uff0c\u5e76\u7528\u5c40\u90e8\u6807\u67b6\u7684\u7ebf\u6027\u7ec4\u5408\u8868\u793a\u8f93\u51fa\u5411\u91cf\uff0c\u6b64\u6b65\u9aa4\u79f0\u4e3a Vectorization\u3002\u53ef\u4ee5\u8bc1\u660e\uff0cClofNet \u5728 SE(3) \u7fa4\u7b49\u53d8\u51fd\u6570\u7a7a\u95f4\u5177\u6709\u4e00\u81f4\u7684\u8868\u8fbe\u529b\u3002<\/p>\n\n\n\n<p>\u6a21\u578b\u5728\u591a\u4f53\u7269\u7406\u7cfb\u7edf\u8f68\u8ff9\u9884\u6d4b\u548c 3D \u5206\u5b50\u7ed3\u6784\u751f\u6210\u4efb\u52a1\u4e0a\u8fdb\u884c\u4e86\u6d4b\u8bd5\u3002\u7ed3\u679c\u8868\u660e\uff0cClofNet \u663e\u8457\u964d\u4f4e\u4e86\u6837\u672c\u590d\u6742\u5ea6\uff0c\u5e76\u63d0\u5347\u4e86\u6a21\u578b\u9884\u6d4b\u7cbe\u5ea6\u548c\u751f\u6210\u6548\u679c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"321\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-9.png\" alt=\"\u56fe5\uff1a\u4e0d\u540c\u8bad\u7ec3\u6837\u672c\u91cf\u4e0b\u7684\u5747\u65b9\u8bef\u5dee\u7ed3\u679c\" class=\"wp-image-1070766\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-9.png 474w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-9-300x203.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-9-240x163.png 240w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe5\uff1a\u4e0d\u540c\u8bad\u7ec3\u6837\u672c\u91cf\u4e0b\u7684\u5747\u65b9\u8bef\u5dee\u7ed3\u679c<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"481\" height=\"403\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-10.png\" alt=\"\u88681\uff1a\u4e0d\u540c\u7b97\u6cd5\u5728\u6570\u636e\u96c6 GEOM-QM9 \u548c GEOM-Drugs \u4e0a\u7684\u5b9e\u9a8c\u7ed3\u679c\" class=\"wp-image-1070769\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-10.png 481w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-10-300x251.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-10-215x180.png 215w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><figcaption class=\"wp-element-caption\"><em>\u88681\uff1a\u4e0d\u540c\u7b97\u6cd5\u5728\u6570\u636e\u96c6 GEOM-QM9 \u548c GEOM-Drugs \u4e0a\u7684\u5b9e\u9a8c\u7ed3\u679c<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u4e2d\u5e72\u6270\u95ee\u9898\u7684\u5206\u6790\u4e0e\u89e3\u51b3\">\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u4e2d\u5e72\u6270\u95ee\u9898\u7684\u5206\u6790\u4e0e\u89e3\u51b3<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"731\" height=\"194\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-11.jpg\" alt=\"paper screenshot\" class=\"wp-image-1070772\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-11.jpg 731w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-11-300x80.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-11-240x64.jpg 240w\" sizes=\"auto, (max-width: 731px) 100vw, 731px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2108.12821<\/p>\n\n\n\n<p>\u5728\u5f53\u524d\u7684\u81ea\u52a8\u67b6\u6784\u641c\u7d22\u6280\u672f\u4e2d\uff0c\u6743\u91cd\u5171\u4eab\u4f5c\u4e3a\u4e00\u79cd\u6700\u4e3a\u6d41\u884c\u7684\u6838\u5fc3\u6280\u672f\u88ab\u5e7f\u6cdb\u5e94\u7528\u3002\u6743\u91cd\u5171\u4eab\u901a\u8fc7\u590d\u7528\u4e4b\u524d\u8bad\u7ec3\u7684\u5b50\u7ed3\u6784\u7684\u90e8\u5206\u6743\u91cd\u6765\u51cf\u5c11\u4ece\u96f6\u5f00\u59cb\u8bad\u7ec3\u4e0d\u540c\u5b50\u6a21\u578b\u7684\u4ee3\u4ef7\u3002\u7136\u800c\uff0c\u7531\u4e8e\u4e0d\u540c\u5b50\u6a21\u578b\u7684\u5171\u4eab\u6743\u91cd\u68af\u5ea6\u66f4\u65b0\u65f6\u5b58\u5728\u5e72\u6270\uff0c\u5982\u56fe6\u548c\u56fe7\u6240\u793a\uff0c\u6240\u4ee5\u771f\u5b9e\u7684\u5b50\u6a21\u578b\u7684\u51c6\u786e\u7387\u548c\u6700\u540e\u4f30\u8ba1\u7684\u5b50\u6a21\u578b\u7684\u51c6\u786e\u7387\u4e4b\u95f4\u7684\u76f8\u5173\u5ea6\u5f80\u5f80\u6bd4\u8f83\u4f4e\uff0c\u4e25\u91cd\u5f71\u54cd\u4e86\u795e\u7ecf\u67b6\u6784\u641c\u7d22\u6280\u672f\u7684\u6027\u80fd\u548c\u9002\u7528\u6027\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"783\" height=\"404\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-12.png\" alt=\"\u56fe6\uff1a\u4e0d\u540c\u67b6\u6784\u5728\u6743\u91cd\u4e0a\u7684\u68af\u5ea6\u5e72\u6270\u793a\u610f\" class=\"wp-image-1070775\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-12.png 783w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-12-300x155.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-12-768x396.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-12-240x124.png 240w\" sizes=\"auto, (max-width: 783px) 100vw, 783px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe6\uff1a\u4e0d\u540c\u67b6\u6784\u5728\u6743\u91cd\u4e0a\u7684\u68af\u5ea6\u5e72\u6270\u793a\u610f<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"252\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-13-1024x252.jpg\" alt=\"\u56fe7\uff1a\u4e0d\u540c\u5b50\u6a21\u578b\u5728\u5171\u4eab\u6743\u91cd\u7684\u68af\u5ea6\u76f8\u4f3c\u5ea6\" class=\"wp-image-1070778\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-13-1024x252.jpg 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-13-300x74.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-13-768x189.jpg 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-13-240x59.jpg 240w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-13.jpg 1208w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe7\uff1a\u4e0d\u540c\u5b50\u6a21\u578b\u5728\u5171\u4eab\u6743\u91cd\u7684\u68af\u5ea6\u76f8\u4f3c\u5ea6<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u5728\u8fd9\u4e2a\u5de5\u4f5c\u91cc\uff0c\u7814\u7a76\u5458\u4eec\u6df1\u5165\u7814\u7a76\u4e86\u6743\u503c\u5171\u4eab\u4e2d\u7684\u5e72\u6270\u95ee\u9898\u3002\u901a\u8fc7\u91c7\u6837\u4e0d\u540c\u7684\u5b50\u6a21\u578b\u5e76\u8ba1\u7b97\u8fd9\u4e9b\u5b50\u6a21\u578b\u5728\u5171\u4eab\u7684\u90e8\u5206\u6743\u503c\u4e0a\u7684\u68af\u5ea6\uff0c\u7814\u7a76\u5458\u4eec\u89c2\u5bdf\u5230\u4e86\u4e24\u4e2a\u73b0\u8c61\uff1a1\uff09\u5171\u4eab\u6743\u503c\u4e0a\u7684\u68af\u5ea6\u7684\u5e72\u6270\u7a0b\u5ea6\u548c\u4e24\u4e2a\u5b50\u6a21\u578b\u4e4b\u95f4\u7684\u4e0d\u540c\u7f51\u7edc\u5c42\u7ed3\u6784\u7684\u6570\u91cf\u662f\u6b63\u76f8\u5173\u7684\uff1b2\uff09\u4e24\u4e2a\u5b50\u67b6\u6784\u5728\u5171\u4eab\u7f51\u7edc\u7ed3\u6784\u4e0a\u7684\u8f93\u5165\u548c\u8f93\u51fa\u503c\u8d8a\u76f8\u4f3c\uff0c\u4ed6\u4eec\u4e4b\u95f4\u7684\u5e72\u6270\u5c31\u8d8a\u5c0f\u3002<\/p>\n\n\n\n<p>\u4ece\u4ee5\u4e0a\u4e24\u4e2a\u89c2\u5bdf\u51fa\u53d1\uff0c\u672c\u6587\u63d0\u51fa\u4e86 MAGIC-AT \u6280\u672f\u6765\u6709\u6548\u7f13\u89e3\u5e72\u6270\u95ee\u9898\uff0c\u5b83\u5305\u62ec\u4e24\u9879\u5173\u952e\u6280\u672f\uff1a<\/p>\n\n\n\n<p>1\uff09MAGIC-T\uff1a\u4e0e\u4e4b\u524d\u7684\u968f\u673a\u91c7\u6837\u5b50\u6a21\u578b\u8fdb\u884c\u68af\u5ea6\u66f4\u65b0\u7684\u5de5\u4f5c\u4e0d\u540c\uff0c\u672c\u6587\u63d0\u51fa\u4e86\u4e00\u4e2a\u6e10\u8fdb\u5b50\u67b6\u6784\u4fee\u6539\u7684\u91c7\u6837\u8303\u5f0f\u3002\u5728\u6bcf\u4e00\u6b21\u4e34\u63a5\u7684\u68af\u5ea6\u66f4\u65b0\u6b65\u6570\u4e4b\u95f4\uff0c\u8ba9\u5176\u91c7\u6837\u7684\u5b50\u67b6\u6784\u4ec5\u4ec5\u5b58\u5728\u4e00\u4e2a\u7f51\u7edc\u5c42\u7ed3\u6784\u7684\u5dee\u522b\u4ee5\u6700\u5c0f\u5316\u4e0d\u540c\u90bb\u63a5\u68af\u5ea6\u66f4\u65b0\u7684\u5e72\u6270\u3002<\/p>\n\n\n\n<p>2\uff09MAGIC-A\uff1a\u5f3a\u5236\u8ba9\u4e0d\u540c\u5b50\u6a21\u578b\u5728\u5171\u4eab\u7f51\u7edc\u7ed3\u6784\u4e0a\u7684\u8f93\u5165\u8f93\u51fa\u5c3d\u53ef\u80fd\u76f8\u4f3c\u6765\u8fdb\u4e00\u6b65\u51cf\u5c11\u4ed6\u4eec\u4e4b\u95f4\u7684\u5e72\u6270\u3002<\/p>\n\n\n\n<p>\u7814\u7a76\u5458\u4eec\u9996\u5148\u5728\u4e00\u4e2a\u590d\u6742\u7684 BERT \u641c\u7d22\u7a7a\u95f4\u4e2d\u9a8c\u8bc1\u4e86\u672c\u6587\u63d0\u51fa\u7684\u4e24\u9879\u5173\u952e\u6280\u672f\u90fd\u80fd\u591f\u63d0\u5347\u8d85\u7f51\u7edc\u7684\u6392\u5e8f\u6027\u80fd\uff0c\u5e76\u4e14\u4e24\u79cd\u6280\u672f\u7ed3\u5408\u80fd\u591f\u5f97\u5230\u8fdb\u4e00\u6b65\u7684\u63d0\u5347\u3002\u63a5\u7740\uff0c\u7814\u7a76\u5458\u4eec\u4f7f\u7528 MAGIC-AT \u5728 BERT \u8bed\u8a00\u6a21\u578b\uff08\u5982\u88681\u6240\u793a\uff09\uff0cSQuAD \u81ea\u7136\u8bed\u8a00\u7406\u89e3\u4efb\u52a1\u4ee5\u53ca\u5927\u89c4\u6a21\u56fe\u50cf\u5206\u7c7b\u95ee\u9898 ImageNet \u4e0a\u505a\u4e86\u795e\u7ecf\u67b6\u6784\u641c\u7d22\uff0c\u5b9e\u9a8c\u8bc1\u660e MAGIC-AT \u641c\u7d22\u5f97\u5230\u7684\u67b6\u6784\u4e00\u81f4\u4e14\u663e\u8457\u7684\u8d85\u8fc7\u4e4b\u524d\u7684\u5de5\u4f5c\uff0c\u8bc1\u660e\u4e86\u672c\u6587\u65b9\u6cd5\u7684\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"433\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-14-1024x433.png\" alt=\"\u88682\uff1aMAGIC-NAS \u641c\u7d22\u7684 BERT \u8bed\u8a00\u6a21\u578b\u5728 GLUE \u6570\u636e\u96c6\u4e0a\u7684\u6548\u679c\" class=\"wp-image-1070781\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-14-1024x433.png 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-14-300x127.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-14-768x325.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-14-240x102.png 240w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-14.png 1428w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>\u88682\uff1aMAGIC-NAS \u641c\u7d22\u7684 BERT \u8bed\u8a00\u6a21\u578b\u5728 GLUE \u6570\u636e\u96c6\u4e0a\u7684\u6548\u679c<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u76d1\u7763\u79bb\u7b56\u7565\u6392\u5e8f\">\u76d1\u7763\u79bb\u7b56\u7565\u6392\u5e8f<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"714\" height=\"188\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-15.jpg\" alt=\"paper screenshot\" class=\"wp-image-1070784\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-15.jpg 714w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-15-300x79.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-15-710x188.jpg 710w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-15-240x63.jpg 240w\" sizes=\"auto, (max-width: 714px) 100vw, 714px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2107.01360<\/p>\n\n\n\n<p>\u79bb\u7b56\u7565\u8bc4\u4f30\uff08Off-Policy Evaluation, OPE\uff09\u65e8\u5728\u5229\u7528\u7531\u5176\u4ed6\u7b56\u7565\u4ea7\u751f\u7684\u6570\u636e\u8bc4\u4f30\u76ee\u6807\u7b56\u7565\u7684\u6027\u80fd\u3002OPE \u5728\u8bb8\u591a\u5b9e\u9645\u5e94\u7528\u4e2d\u81f3\u5173\u91cd\u8981\uff0c\u5982\u4ea4\u6613\u3001\u5e7f\u544a\u3001\u81ea\u52a8\u9a7e\u9a76\u3001\u836f\u7269\u8bd5\u9a8c\u7b49\u7b49\u3002\u5728\u8fd9\u4e9b\u5e94\u7528\u4e2d\uff0c\u901a\u8fc7\u4e0e\u771f\u5b9e\u73af\u5883\u4ea4\u4e92\u7684\u5728\u7ebf\u8bc4\u4f30\u7b56\u7565\u65b9\u5f0f\u53ef\u80fd\u82b1\u8d39\u6210\u672c\u5de8\u5927\u3002<\/p>\n\n\n\n<p>\u73b0\u6709\u7684 OPE \u65b9\u6cd5\u4e3b\u8981\u57fa\u4e8e\u5206\u5e03\u7ea0\u6b63\uff08distribution correction\uff09\u3001\u6a21\u578b\u4f30\u8ba1\uff08model estimation\uff09\u548c\u4ef7\u503c\u51fd\u6570\u4f30\u8ba1\uff08Q-estimation\uff09\uff0c\u5173\u6ce8\u7684\u662f\u7cbe\u786e\u4f30\u8ba1\u7b56\u7565\u7684\u56de\u62a5\uff0c\u91c7\u7528\u7684\u662f\u65e0\u76d1\u7763\u4f30\u8ba1\u65b9\u6cd5\u3002\u672c\u6587\u53d1\u73b0\u8fd9\u4e9b\u65b9\u6cd5\u4e0e\u73b0\u5b9e\u9700\u6c42\u548c\u6761\u4ef6\u5b58\u5728\u5dee\u5f02\u3002\u9996\u5148\uff0c\u5728\u8bb8\u591a\u5e94\u7528\u4e2d\uff0cOPE \u7684\u6700\u7ec8\u76ee\u6807\u662f\u4ece\u5019\u9009\u7b56\u7565\u4e2d\u9009\u62e9\u8f83\u597d\u7684\u7b56\u7565\uff0c\u800c\u975e\u7cbe\u786e\u4f30\u8ba1\u6bcf\u4e2a\u7b56\u7565\u7684\u56de\u62a5\u3002\u5176\u6b21\uff0c\u4eba\u4eec\u901a\u5e38\u53ef\u4ee5\u77e5\u9053\u4e00\u4e9b\u5df2\u5728\u771f\u5b9e\u73af\u5883\u4e2d\u90e8\u7f72\u7684\u7b56\u7565\u7684\u6027\u80fd\uff0c\u4f46\u662f\u8fd9\u90e8\u5206\u4fe1\u606f\u672a\u88ab\u5229\u7528\u3002\u56e0\u6b64\uff0c\u672c\u6587\u5b9a\u4e49\u4e86\u4e24\u4e2a\u65b0\u95ee\u9898\uff1a\u76d1\u7763\u79bb\u7b56\u7565\u4f30\u8ba1\uff08Supervised Off-Policy Evaluation, SOPE\uff09\u548c\u76d1\u7763\u79bb\u7b56\u7565\u6392\u5e8f\uff08Supervised Off-Policy Ranking, SOPR\uff09\uff0c\u5206\u522b\u5229\u7528\u79bb\u7b56\u7565\u6570\u636e\u96c6\u4ee5\u53ca\u5df2\u77e5\u7b56\u7565\u7684\u56de\u62a5\u6216\u6392\u5e8f\u6765\u4f30\u8ba1\u76ee\u6807\u7b56\u7565\u7684\u6027\u80fd\u6216\u6027\u80fd\u6392\u5e8f\u3002\u5176\u4e2d\uff0cSOPR \u4e0d\u9700\u7cbe\u786e\u4f30\u8ba1\u7b56\u7565\u6027\u80fd\uff0c\u66f4\u52a0\u5bb9\u6613\u5e76\u4e14\u66f4\u5177\u5b9e\u9645\u5e94\u7528\u4ef7\u503c\u3002<\/p>\n\n\n\n<p>\u672c\u6587\u8fd8\u8fdb\u4e00\u6b65\u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u76d1\u7763\u5b66\u4e60\u7684\u7b56\u7565\u6392\u5e8f\u7b97\u6cd5\uff0c\u5229\u7528\u7b56\u7565\u8868\u793a\u548c\u7b56\u7565\u6392\u5e8f\u6807\u7b7e\u8bad\u7ec3\u4e86\u4e00\u4e2a\u7b56\u7565\u6253\u5206\u6a21\u578b\uff0c\u5e76\u57fa\u4e8e\u7b56\u7565\u5f97\u5206\u5bf9\u7b56\u7565\u6392\u5e8f\u3002\u5bf9\u4e8e\u7b56\u7565\u8868\u793a\uff0c\u7531\u4e8e\u4e0d\u540c\u7b56\u7565\u53ef\u80fd\u51fd\u6570\u5f62\u5f0f\u4e0d\u540c\u8f93\u5165\u7279\u5f81\u4e0d\u540c\uff0c\u4e14\u4e0d\u4e00\u5b9a\u5177\u6709\u53c2\u6570\uff0c\u56e0\u6b64\u96be\u4ee5\u91c7\u7528\u7b56\u7565\u53c2\u6570\u8868\u793a\u7b56\u7565\u3002\u5bf9\u6b64\uff0c\u672c\u6587\u63d0\u51fa\u5229\u7528\u72b6\u6001-\u52a8\u4f5c\u6570\u636e\u548c\u4e00\u79cd\u5206\u5c42 Transformer \u7f16\u7801\u5668\u5b66\u4e60\u7b56\u7565\u8868\u793a\uff0c\u5176\u4e2d\u72b6\u6001\u51fa\u81ea\u79bb\u7b56\u7565\u6570\u636e\u96c6\uff0c\u52a8\u4f5c\u7531\u7b56\u7565\u5728\u72b6\u6001\u4e0a\u51b3\u7b56\u4ea7\u751f\uff1b\u7136\u540e\u901a\u8fc7\u5bf9\u6570\u636e\u8fdb\u884c\u805a\u7c7b\uff0c\u5728\u7c7b\u5185\u548c\u7c7b\u95f4\u5206\u522b\u7f16\u7801\uff1b\u6700\u540e\u5c06\u7b56\u7565\u8868\u793a\u6620\u5c04\u4e3a\u5206\u6570\uff0c\u5229\u7528\u6392\u5e8f\u635f\u5931\u51fd\u6570\u4f18\u5316\u6a21\u578b\u3002\u8be5\u7b97\u6cd5\u540d\u4e3a SOPR-T\uff0cT \u4ee3\u8868 Transformer\u3002\u672c\u6587\u5229\u7528 Mujoco \u73af\u5883\u7684\u516c\u5f00\u6570\u636e\u96c6\u5bf9\u6240\u63d0\u7b97\u6cd5\u8fdb\u884c\u4e86\u9a8c\u8bc1\uff0c\u5e76\u4e0e OPE \u57fa\u7ebf\u7b97\u6cd5\u5bf9\u6bd4\uff0c\u7ed3\u679c\u8868\u660e SOPR-T \u5728\u6392\u5e8f\u76f8\u5173\u5ea6\uff08Rank correlation\uff09\u548c\u540e\u6094\u503c\uff08Regret value\uff09\u4e0a\u7684\u8868\u73b0\u5747\u4f18\u4e8e\u57fa\u7ebf\u7b97\u6cd5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"878\" height=\"555\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-16.png\" alt=\"\u56fe8\uff1a\u57fa\u4e8e\u5206\u5c42 Transformer \u7f16\u7801\u5668\u7684\u7b56\u7565\u6253\u5206\u6a21\u578b\" class=\"wp-image-1070787\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-16.png 878w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-16-300x190.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-16-768x485.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-16-240x152.png 240w\" sizes=\"auto, (max-width: 878px) 100vw, 878px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe8\uff1a\u57fa\u4e8e\u5206\u5c42 Transformer \u7f16\u7801\u5668\u7684\u7b56\u7565\u6253\u5206\u6a21\u578b<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u6355\u83b7\u5f02\u8d28\u56fe\u4e2d\u7684\u5168\u5c40\u540c\u8d28\u8282\u70b9\">\u6355\u83b7\u5f02\u8d28\u56fe\u4e2d\u7684\u5168\u5c40\u540c\u8d28\u8282\u70b9<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"736\" height=\"213\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-17.jpg\" alt=\"paper screenshot\" class=\"wp-image-1070790\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-17.jpg 736w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-17-300x87.jpg 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-17-240x69.jpg 240w\" sizes=\"auto, (max-width: 736px) 100vw, 736px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1a<\/p>\n\n\n\n<p><a class=\"msr-external-link glyph-append glyph-append-open-in-new-tab glyph-append-xsmall\" rel=\"noopener noreferrer\" target=\"_blank\" href=\"https:\/\/arxiv.org\/abs\/2205.07308\">https:\/\/arxiv.org\/abs\/2205.07308<span class=\"sr-only\"> (opens in new tab)<\/span><\/a><\/p>\n\n\n\n<p>\u5728\u5177\u6709\u5f02\u8d28\u6027\uff08Graph heterophily\uff09\u7684\u56fe\u4e2d\uff0c\u76f8\u90bb\u8282\u70b9\u95f4\u66f4\u503e\u5411\u4e8e\u6709\u4e0d\u540c\u7684\u6807\u7b7e\u3002\u4e1a\u754c\u79f0\u5177\u6709\u76f8\u540c\u6807\u7b7e\u7684\u8282\u70b9\u8bb0\u4e3a\u540c\u8d28\u8282\u70b9\uff0c\u4e0d\u540c\u6807\u7b7e\u7684\u8282\u70b9\u8bb0\u4e3a\u5f02\u8d28\u8282\u70b9\u3002\u5f53\u7528\u4f20\u7edf GNN \u65b9\u6cd5\uff08GCN\u3001GAT\u7b49\uff09\u53bb\u5b66\u4e60\u5f02\u8d28\u56fe\u8282\u70b9\u7684\u8868\u793a\u65f6\uff0c\u4f1a\u5bfc\u81f4\u5f53\u524d\u8282\u70b9\u7684\u8868\u793a\u88ab\u90bb\u57df\u4e2d\u66f4\u591a\u7684\u5f02\u8d28\u8282\u70b9\u6240\u8bef\u5bfc\uff0c\u4ece\u800c\u5b66\u4e60\u5230\u9519\u8bef\u7684\u8868\u793a\u3002\u73b0\u6709\u7684\u7814\u7a76\u5c1d\u8bd5\u901a\u8fc7\u589e\u5927\u90bb\u57df\u7684\u8303\u56f4\u53bb\u6355\u83b7\u66f4\u591a\u7684\u540c\u8d28\u8282\u70b9\u6765\u6307\u5bfc\u5f53\u524d\u8282\u70b9\u7684\u5b66\u4e60\u3002\u4f46\u8fd9\u5176\u4e2d\u5b58\u5728\u4e00\u4e2a\u6311\u6218\uff1a\u8be5\u4f7f\u7528\u591a\u5927\u8303\u56f4\u7684\u90bb\u57df\uff1f\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u7684\u7814\u7a76\u5458\u4eec\u7ed9\u51fa\u7684\u89e3\u51b3\u65b9\u6848\u662f\uff1a\u4f7f\u7528\u5168\u5c40\u90bb\u57df\uff0c\u5373\u4f7f\u7528\u6574\u5f20\u56fe\u3002<\/p>\n\n\n\n<p>\u4e3a\u6b64\uff0c\u7814\u7a76\u5458\u4eec\u63d0\u51fa\u4e86\u4e00\u4e2a\u65b0\u7684 GNN \u6a21\u578b GloGNN\uff0c\u5176\u67b6\u6784\u5982\u56fe10\u6240\u793a\uff0c\u8f93\u5165\u5305\u62ec\u8282\u70b9\u7279\u5f81\u548c\u90bb\u63a5\u77e9\u9635\uff0c\u7ecf\u878d\u5408\u5f97\u5230\u521d\u59cb\u7684\u8282\u70b9\u7279\u5f81\u77e9\u9635\u3002\u5728\u4e4b\u540e\u7684\u6bcf\u4e00\u5c42\u4e2d\uff0cGloGNN \u57fa\u4e8e\u4e00\u4e2a\u7cfb\u6570\u77e9\u9635\u6765\u5bf9\u8282\u70b9\u7279\u5f81\u77e9\u9635\u8fdb\u884c\u66f4\u65b0\u3002\u8be5\u7cfb\u6570\u77e9\u9635\u523b\u753b\u4e86\u6574\u5f20\u56fe\u4e2d\u6240\u6709\u8282\u70b9\u95f4\u7684\u76f8\u5173\u6027\uff0c\u7531\u4e00\u4e2a\u540c\u65f6\u8003\u8651\u8282\u70b9\u7279\u5f81\u548c\u62d3\u6251\u7ed3\u6784\u7684\u4f18\u5316\u51fd\u6570\u6c42\u89e3\u5f97\u5230\uff0c\u5e76\u4e14\u5f15\u5165 Woodbury Formula \u4f18\u5316\u6c42\u9006\u8fc7\u7a0b\u548c\u8c03\u6574\u77e9\u9635\u4e58\u6cd5\u987a\u5e8f\u5c06\u66f4\u65b0\u8fc7\u7a0b\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4f4e\u4e3a\u7ebf\u6027\u590d\u6742\u5ea6\u3002\u6b64\u5916\uff0c\u7814\u7a76\u5458\u4eec\u8fd8\u63d0\u51fa\u4e86\u5347\u7ea7\u7248\u7684 GloGNN++\uff0c\u5176\u4e0d\u4ec5\u8003\u8651\u8282\u70b9\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff0c\u4e5f\u5173\u6ce8\u8282\u70b9\u7279\u5f81\u4e2d\u6bcf\u4e00\u7ef4\u7684\u91cd\u8981\u6027\u3002\u6700\u540e\uff0c\u672c\u6587\u4ece\u7406\u8bba\u548c\u5b9e\u9a8c\u4e24\u65b9\u9762\u8bc1\u660e\u4e86\u65b9\u6cd5\u7684\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"431\" src=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-1024x431.png\" alt=\"\u56fe9\uff1aGloGNN \u67b6\u6784\" class=\"wp-image-1070793\" srcset=\"https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-1024x431.png 1024w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-300x126.png 300w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-768x323.png 768w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-1536x646.png 1536w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-2048x862.png 2048w, https:\/\/newed.any0.dpdns.org\/en-us\/research\/wp-content\/uploads\/2024\/08\/icml-2022-18-240x101.png 240w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>\u56fe9\uff1aGloGNN \u67b6\u6784<\/em><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u7406\u8bba\u65b9\u9762\uff0c\u901a\u8fc7\u5bf9\u66f4\u65b0\u8fc7\u7a0b\u4e2d\u7684\u7cfb\u6570\u77e9\u9635\u548c\u8282\u70b9\u7279\u5f81\u8fdb\u884c Grouping Effect \u5206\u6790\uff0c\u9a8c\u8bc1\u4e86\u65b9\u6cd5\u8bbe\u8ba1\u7684\u5408\u7406\u6027\u3002\u5b9e\u9a8c\u65b9\u9762\uff0c\u7814\u7a76\u5458\u4eec\u572815\u4e2a\u4e0d\u540c\u9886\u57df\u3001\u89c4\u6a21\u3001\u5f02\u8d28\u6027\u7684\u6570\u636e\u96c6\u4e0a\u4e0e\u4ee3\u8868\u6027\u768411\u79cd GNN \u65b9\u6cd5\u8fdb\u884c\u4e86\u6bd4\u8f83\uff0c\u5e76\u505a\u4e86\u5927\u91cf\u7684\u6548\u7387\u5206\u6790\u548c\u53ef\u89e3\u91ca\u6027\u5206\u6790\uff0c\u7ed3\u679c\u8868\u660e\u672c\u6587\u63d0\u51fa\u7684 GloGNN \u548c GloGNN++ \u53ef\u4ee5\u6709\u6548\u4e14\u9ad8\u6548\u5730\u4ece\u6574\u5f20\u56fe\u4e2d\u6355\u83b7\u540c\u8d28\u8282\u70b9\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7f16\u8005\u6309\uff1aICML \u88ab\u8ba4\u4e3a\u662f\u4eba\u5de5\u667a\u80fd\u3001\u673a\u5668\u5b66\u4e60\u9886\u57df\u6700\u9876\u7ea7\u7684\u56fd\u9645\u4f1a\u8bae\u4e4b\u4e00\uff0c\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u754c\u4eab\u6709\u5d07\u9ad8\u7684\u58f0\u671b\u3002ICML 2022 \u4e8e7\u670817\u65e5-23\u65e5\u4ee5\u7ebf\u4e0a\u7ebf\u4e0b\u7ed3\u5408\u7684\u65b9\u5f0f\u4e3e\u529e\u3002\u4eca\u5929\u6211\u4eec\u7cbe\u9009\u4e86\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u5728\u6b64\u6b21\u5927\u4f1a\u4e0a\u53d1\u8868\u76847\u7bc7\u8bba\u6587\uff0c\u6765\u4e3a\u5927\u5bb6\u8fdb\u884c\u7b80\u8981\u4ecb\u7ecd\uff0c\u4ece\u5f3a\u5316\u5b66\u4e60\u3001\u56fe\u795e\u7ecf\u7f51\u7edc\u3001\u77e5\u8bc6\u56fe\u8c31\u8868\u793a\u5b66\u4e60\u7b49\u5173\u952e\u8bcd\u5e26\u4f60\u4e00\u89c8\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u6700\u65b0\u6210\u679c\uff01 \u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2202.07995 \u5f3a\u5316\u5b66\u4e60\uff08Reinforcement Learning\uff09\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u5728\u7ebf\u51b3\u7b56\u6a21\u578b\u3002\u5728\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u667a\u80fd\u4f53\u4e0e\u672a\u77e5\u7684\u73af\u5883\u8fdb\u884c\u4ea4\u4e92\uff0c\u4ee5\u83b7\u5f97\u6700\u5927\u7684\u7d2f\u79ef\u5956\u52b1\u3002\u4f20\u7edf\u5f3a\u5316\u5b66\u4e60\u662f\u4e00\u4e2a\u5355\u8def\u5f84\u7684\u5e8f\u5217\u51b3\u7b56\u6a21\u578b\uff0c\u667a\u80fd\u4f53\u5728\u4e00\u4e2a\u72b6\u6001\u4e0b\u53ea\u9009\u62e9\u4e00\u4e2a\u52a8\u4f5c\u3002\u7136\u800c\uff0c\u5728\u63a8\u8350\u7cfb\u7edf\u3001\u5728\u7ebf\u5e7f\u544a\u7b49\u8bb8\u591a\u73b0\u5b9e\u5e94\u7528\u4e2d\uff0c\u7528\u6237\u4eec\u5f80\u5f80\u4f1a\u4e00\u6b21\u9009\u62e9\u591a\u4e2a\u9009\u9879\uff0c\u6bcf\u4e2a\u9009\u9879\u4f1a\u89e6\u53d1\u5bf9\u5e94\u7684\u540e\u7ee7\u72b6\u6001\uff0c\u4f8b\u5982\uff0c\u5728\u57fa\u4e8e\u7c7b\u522b\u7684\u8d2d\u7269\u63a8\u8350\u4e2d\uff0c\u7cfb\u7edf\u5f80\u5f80\u4f1a\u5148\u63a8\u8350\u4e00\u4e9b\u5546\u54c1\u7684\u4e00\u7ea7\u7c7b\u522b\uff0c\u5f53\u67d0\u4e2a\u4e00\u7ea7\u7c7b\u522b\u88ab\u7528\u6237\u70b9\u51fb\u65f6\uff0c\u7cfb\u7edf\u4f1a\u8fdb\u4e00\u6b65\u63a8\u8350\u4e00\u4e9b\u4e8c\u7ea7\u7c7b\u522b\u3002\u5728\u4e00\u6b21\u8d2d\u7269\u4e2d\uff0c\u7528\u6237\u53ef\u80fd\u4f1a\u9009\u62e9\uff08\u89e6\u53d1\uff09\u591a\u6761\u7c7b\u522b-\u5546\u54c1\u8def\u5f84\uff0c\u5982\u7528\u6237\u53ef\u80fd\u4f1a\u89e6\u53d1\u201c\u529e\u516c\u8bbe\u5907-\u6253\u5370\u673a-\u6fc0\u5149\u6253\u5370\u673a\u201d\u548c\u201c\u529e\u516c\u8bbe\u5907-\u626b\u63cf\u4eea-\u5e73\u677f\u626b\u63cf\u4eea\u201d\u8fd9\u4e24\u6761\u8def\u5f84\u3002 \u4e3a\u4e86\u5904\u7406\u8fd9\u79cd\u5141\u8bb8\u591a\u4e2a\u52a8\u4f5c\u548c\u591a\u4e2a\u540e\u7ee7\u72b6\u6001\u7684\u73b0\u5b9e\u573a\u666f\uff0c\u5fae\u8f6f\u4e9a\u6d32\u7814\u7a76\u9662\u7684\u7814\u7a76\u5458\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u3001\u6811\u72b6\u7684\u5f3a\u5316\u5b66\u4e60\u6a21\u578b\uff0c\u540d\u4e3a\u5206\u652f\u5f3a\u5316\u5b66\u4e60\uff08Branching Reinforcement Learning\uff09\u3002\u5728\u5206\u652f\u5f3a\u5316\u5b66\u4e60\u4e2d\uff0c\u6bcf\u4e2a\u72b6\u6001\u4e0b\uff0c\u667a\u80fd\u4f53\u53ef\u4ee5\u9009\u62e9\u591a\u4e2a\u52a8\u4f5c\uff0c\u6bcf\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u6709\u4e00\u4e2a\u6f5c\u5728\u7684\u6982\u7387\u88ab\u89e6\u53d1\u3002\u5982\u679c\u4e00\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u88ab\u6210\u529f\u89e6\u53d1\uff0c\u90a3\u4e48\u5b83\u4f1a\u6839\u636e\u5176\u6f5c\u5728\u7684\u8f6c\u79fb\u5206\u5e03\u8f6c\u79fb\u5230\u4e00\u4e2a\u5e38\u89c4\u7684\u540e\u7ee7\u72b6\u6001\uff1b\u5982\u679c\u8fd9\u4e2a\u72b6\u6001-\u52a8\u4f5c\u5bf9\u6ca1\u6709\u88ab\u6210\u529f\u89e6\u53d1\uff0c\u90a3\u5b83\u5219\u4f1a\u8f6c\u79fb\u5230\u4e00\u4e2a\u201c\u7ec8\u6b62\u72b6\u6001\u201d\uff08\u5956\u52b1\u603b\u662f\u4e3a\u96f6\u7684\u5438\u6536\u6001\uff09\u3002\u7531\u4e8e\u667a\u80fd\u4f53\u53ef\u80fd\u89e6\u53d1\u591a\u6761\u72b6\u6001-\u52a8\u4f5c\u8def\u5f84\uff0c\u56e0\u6b64\u5b83\u7684\u5386\u53f2\u5e8f\u5217\u51b3\u7b56\u5448\u73b0\u51fa\u4e00\u4e2a\u6811\u72b6\u7ed3\u6784\u3002 \u5728\u5206\u652f\u5f3a\u5316\u5b66\u4e60\u8fd9\u4e2a\u65b0\u7684\u51b3\u7b56\u6a21\u578b\u4e0b\uff0c\u7814\u7a76\u5458\u4eec\u6784\u5efa\u4e86\u5168\u65b0\u7684\u7406\u8bba\u5206\u6790\u5de5\u5177\uff0c\u5305\u62ec\u5206\u652f\u8d1d\u5c14\u66fc\u65b9\u7a0b\uff08Branching Bellman Equation\uff09\u3001\u5206\u652f\u4ef7\u503c\u5dee\u5f02\u5f15\u7406\uff08Branching Value Difference Lemma\uff09\u548c\u5206\u652f\u603b\u65b9\u5dee\u5b9a\u5f8b\uff08Branching Law of Total Variance\uff09\u3002\u7814\u7a76\u5458\u4eec\u8bbe\u8ba1\u4e86\u4e24\u79cd\u8ba1\u7b97\u548c\u91c7\u6837\u9ad8\u6548\u7684\u7b97\u6cd5 BranchVI \u548c BranchRFE\uff0c\u901a\u8fc7\u4e25\u683c\u7684\u7406\u8bba\u5206\u6790\u8bc1\u660e\u4e86\u7b97\u6cd5\u7684\u6700\u4f18\u6027\uff0c\u5e76\u5728\u5b9e\u9a8c\u4e0a\u9a8c\u8bc1\u4e86\u672c\u6587\u7684\u7406\u8bba\u7ed3\u679c\u3002 \u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2205.14368 \u4ee3\u7801\u94fe\u63a5\uff1ahttps:\/\/github.com\/zhongyu1998\/PG-GNN 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\u5c3d\u7ba1\u7f6e\u6362\u654f\u611f\u7684\u805a\u5408\u51fd\u6570\u6bd4\u7f6e\u6362\u4e0d\u53d8\u7684\u805a\u5408\u51fd\u6570\u5177\u6709\u66f4\u52a0\u5f3a\u5927\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u4f46\u662f\u8fd8\u9700\u8981\u989d\u5916\u8003\u8651\u6240\u6709n!\u79cd\u7f6e\u6362\u6765\u4fdd\u8bc1\u6cdb\u5316\u80fd\u529b\uff0c\u5728\u8ba1\u7b97\u590d\u6742\u5ea6\u4e0a\u9762\u4e34\u7740\u5de8\u5927\u7684\u6311\u6218\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\uff0c\u672c\u6587\u5229\u7528\u7f6e\u6362\u7fa4\uff08permutation group\uff09\u8bbe\u8ba1\u4e86\u4e00\u79cd\u65b0\u9896\u7684\u7f6e\u6362\u654f\u611f\u805a\u5408\u673a\u5236\uff0c\u901a\u8fc7\u7f6e\u6362\u91c7\u6837\u7b56\u7565\u91c7\u6837\u5c11\u91cf\u5177\u6709\u4ee3\u8868\u6027\u7684\u7f6e\u6362\uff0c\u6355\u83b7\u90bb\u5c45\u4e0e\u90bb\u5c45\u4e4b\u95f4\u7684\u4e8c\u5143\u4f9d\u8d56\uff0c\u4ece\u800c\u9ad8\u6548\u5730\u63d0\u5347 GNN 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\u7efc\u5408\u800c\u8a00\uff0c\u672c\u6587\u57fa\u4e8e\u7f6e\u6362\u654f\u611f\u7684\u805a\u5408\u673a\u5236\u8bbe\u8ba1\u4e86\u4e00\u79cd\u5f3a\u5927\u800c\u9ad8\u6548\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\uff0c\u5b83\u5728\u4fdd\u8bc1\u8868\u8fbe\u80fd\u529b\u7684\u540c\u65f6\uff0c\u5148\u540e\u501f\u52a9\u8fd1\u4f3c\u7f6e\u6362\u4e0d\u53d8\u6027\u7684\u601d\u60f3\u4e0e\u7ebf\u6027\u7f6e\u6362\u91c7\u6837\u7b56\u7565\uff0c\u663e\u8457\u964d\u4f4e\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\u3002\u5982\u4f55\u5229\u7528\u7f6e\u6362\u654f\u611f\u7684\u56fe\u795e\u7ecf\u7f51\u7edc\u5728\u8868\u8fbe\u80fd\u529b\u4e0a\u7684\u5929\u7136\u4f18\u52bf\uff0c\u5728\u8868\u8fbe\u80fd\u529b\u548c\u8ba1\u7b97\u590d\u6742\u5ea6\u4e4b\u95f4\u5bfb\u627e\u5747\u8861\uff0c\u5c06\u662f\u672a\u6765\u5bcc\u6709\u524d\u666f\u7684\u7814\u7a76\u65b9\u5411\u3002 \u8bba\u6587\u94fe\u63a5\uff1a https:\/\/arxiv.org\/abs\/2202.07919 (opens in new tab) 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