{"id":23390,"date":"2024-12-09T10:49:49","date_gmt":"2024-12-09T02:49:49","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=23390"},"modified":"2024-12-09T10:49:49","modified_gmt":"2024-12-09T02:49:49","slug":"neurips-2024%ef%bd%9c%e6%8b%86%e8%a7%a3%e9%ab%98%e5%a4%8d%e6%9d%82%e8%bf%90%e7%ad%b9%e9%97%ae%e9%a2%98%e7%9a%84%e7%a0%96%e7%9f%b3%ef%bc%8c%e6%89%93%e7%a0%b4%e6%95%b0%e6%8d%ae%e7%a8%80%e7%bc%ba","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2024\/12\/09\/23390\/","title":{"rendered":"NeurIPS 2024\uff5c\u62c6\u89e3\u9ad8\u590d\u6742\u8fd0\u7b79\u95ee\u9898\u7684\u7816\u77f3\uff0c\u6253\u7834\u6570\u636e\u7a00\u7f3a\u7684\u74f6\u9888\uff0c\u4e2d\u79d1\u5927\u63d0\u51fa\u9ad8\u8d28\u91cf\u8fd0\u7b79\u6570\u636e\u751f\u6210\u65b9\u6cd5"},"content":{"rendered":"<div><img data-dominant-color=\"486282\" data-has-transparency=\"false\" style=\"--dominant-color: #486282;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-23392\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/12\/1e90b703-9e2d-415d-a1ea-aaf7674593f0-300x167-1.png\" width=\"300\" height=\"167\" alt=\"\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/12\/1e90b703-9e2d-415d-a1ea-aaf7674593f0-300x167-1.png 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2024\/12\/1e90b703-9e2d-415d-a1ea-aaf7674593f0-300x167-1-150x84.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div><\/div>\n<div class=\"article-desc\">\u8fd1\u65e5\uff0c\u4e2d\u79d1\u5927\u738b\u6770\u6559\u6388\u56e2\u961f\uff08MIRA Lab\uff09\u63d0\u51fa\u4e86\u77e9\u9635\u5206\u5757\u5206\u89e3\u6280\u672f\u751f\u6210\u6570\u5b66\u4f18\u5316\u95ee\u9898\uff0c\u6709\u6548\u89e3\u51b3\u8fd0\u7b79\u4f18\u5316\u9886\u57df\u6570\u636e\u7a00\u7f3a\u7684\u95ee\u9898\uff0c\u5927\u5e45\u63d0\u5347 AI \u8fd0\u7b79\u6c42\u89e3\u5668\u6c42\u89e3\u8d28\u91cf\u3002<\/div>\n<div id=\"postspictures\" class=\"article-content\">\n<div id=\"container\" class=\"container am-engine\" data-v-1d7a5742=\"\" data-element=\"root\">\n<p><strong>\u8bba\u6587\u4f5c\u8005\u5218\u660a\u6d0b\u662f\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66 2023 \u7ea7\u7855\u58eb\u751f\uff0c\u5e08\u4ece\u738b\u6770\u6559\u6388\uff0c\u4e3b\u8981\u7684\u7814\u7a76\u65b9\u5411\u4e3a\u5f3a\u5316\u5b66\u4e60\u4e0e\u5b66\u4e60\u4f18\u5316\u7406\u8bba\u53ca\u65b9\u6cd5\u3002\u4ed6\u66fe\u5728 NeurIPS\u3001ICML \u548c ICLR \u7b49\u4eba\u5de5\u667a\u80fd\u9876\u7ea7\u4f1a\u8bae\u4e0a\u53d1\u8868\u8bba\u6587\u4e09\u7bc7\uff0c\u66fe\u83b7\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66\u9ec4\u6e1d\u7eaa\u5ff5\u5956\u5b66\u91d1\u3001\u534e\u4e3a\u5956\u5b66\u91d1\u7b49\u8363\u8a89\u3002<\/strong><\/p>\n<p>\u8fd1\u65e5\uff0c\u4e2d\u79d1\u5927\u738b\u6770\u6559\u6388\u56e2\u961f\uff08MIRA Lab\uff09\u63d0\u51fa\u4e86\u77e9\u9635\u5206\u5757\u5206\u89e3\u6280\u672f\u751f\u6210\u6570\u5b66\u4f18\u5316\u95ee\u9898\uff0c\u6709\u6548\u89e3\u51b3\u8fd0\u7b79\u4f18\u5316\u9886\u57df\u6570\u636e\u7a00\u7f3a\u7684\u95ee\u9898\uff0c\u5927\u5e45\u63d0\u5347 AI \u8fd0\u7b79\u6c42\u89e3\u5668\u6c42\u89e3\u8d28\u91cf\u3002<\/p>\n<p>\u6570\u5b66\u4f18\u5316\u5728\u8fd0\u7b79\u4f18\u5316\u9886\u57df\u4e2d\u5177\u6709\u6838\u5fc3\u5730\u4f4d\uff0c\u662f\u4e00\u79cd\u901a\u8fc7\u6784\u5efa\u6570\u5b66\u6a21\u578b\u6765\u5bfb\u627e\u6700\u4f18\u89e3\u7684\u6280\u672f\u3002\u6df7\u5408\u6574\u6570\u7ebf\u6027\u89c4\u5212\uff08MILP\uff09\u662f\u4e00\u79cd\u57fa\u7840\u7684\u6570\u5b66\u4f18\u5316\u95ee\u9898\uff0c\u5728\u5b9e\u9645\u4e16\u754c\u4e2d\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u5982\u5de5\u4e1a\u3001\u91d1\u878d\u3001\u7269\u6d41\u548c\u82af\u7247\u8bbe\u8ba1\uff0c\u5176\u6c42\u89e3\u6548\u7387\u5173\u7cfb\u5230\u91cd\u5927\u7684\u7ecf\u6d4e\u6536\u76ca\u3002<\/p>\n<p>\u738b\u6770\u6559\u6388\u56e2\u961f\u63d0\u51fa\u4e86\u4e00\u79cd<strong>\u65b0\u9896\u7684 MILP \u751f\u6210\u6846\u67b6<\/strong>\uff0c\u8be5\u6846\u67b6\u5728\u6574\u4e2a\u751f\u6210\u8fc7\u7a0b\u4e2d\u8003\u8651\u95ee\u9898<strong>\u5206\u5757\u7ed3\u6784<\/strong>\uff0c\u4ece\u800c\u751f\u6210\u9ad8\u8d28\u91cf\u7684\u4f18\u5316\u95ee\u9898\u6837\u4f8b\uff0c<strong>\u5927\u5e45\u63d0\u5347\u6c42\u89e3\u5668\u7684\u6c42\u89e3\u8d28\u91cf<\/strong>\u3002\u76ee\u524d\u8bba\u6587\u5df2\u88ab\u4eba\u5de5\u667a\u80fd\u9876\u7ea7\u4f1a\u8bae NeurIPS 2024 \u63a5\u6536\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s9.51cto.com\/oss\/202412\/08\/e6d1dc45749aeae19fb766815b84ade49b3e2c.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<ul data-id=\"ua73dd4b-Yof2Hla9\">\n<li data-id=\"ld70c578-nOYSowqU\">\u8bba\u6587\u6807\u9898\uff1aMILP-StuDio: MILP Instance Generation via Block Structure Decomposition<\/li>\n<li data-id=\"ld70c578-x6DIwjGF\">\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2410.22806<\/li>\n<\/ul>\n<p>\u8fd1\u5e74\u6765\uff0c\u8be5\u56e2\u961f\u5df2\u5728\u56fd\u9645\u4eba\u5de5\u667a\u80fd\u9876\u7ea7\u4f1a\u8bae\u4e0a\u53d1\u8868\u4e86\u6df7\u5408\u6574\u6570\u7ebf\u6027\u89c4\u5212\u3001\u504f\u5fae\u5206\u65b9\u7a0b\u7b49\u6570\u636e\u751f\u6210\u65b9\u6cd5\u76f8\u5173\u7684\u8bba\u6587\u56db\u7bc7\u00a0[1-4]\uff0c\u63d0\u51fa\u4e86\u6df7\u5408\u6574\u6570\u4f18\u5316\u9886\u57df\u9996\u4e2a\u57fa\u4e8e\u673a\u5668\u5b66\u4e60\u7684\u6570\u636e\u751f\u6210\u6846\u67b6 G2MILP\u3002\u76ee\u524d\uff0cG2MILP\u00a0[2]\u00a0\u53d1\u8868\u5728\u4eba\u5de5\u667a\u80fd\u9876\u4f1a NeurIPS 2023 \u4e2d\u5e76\u53d6\u5f97\u5927\u4f1a Spotlight\uff0c\u4e4b\u540e\u6269\u5c55\u4e86\u96be\u4f8b\u751f\u6210\u7684\u76f8\u5173\u4efb\u52a1\u5e76\u516c\u5f00\u4e8e\u00a0[5]\u3002<\/p>\n<h4>\u5f15\u8a00<\/h4>\n<p>\u4e3a\u4e86\u52a0\u901f MILP \u6c42\u89e3\u8fc7\u7a0b\uff0c\u4f20\u7edf\u6c42\u89e3\u5668\u548c AI \u6c42\u89e3\u5668\u90fd\u5728\u5f88\u5927\u7a0b\u5ea6\u4e0a\u4f9d\u8d56\u5927\u91cf\u9ad8\u8d28\u91cf\u7684 MILP \u6837\u4f8b\u8fdb\u884c\u8d85\u53c2\u6570\u8c03\u4f18\u6216\u6a21\u578b\u8bad\u7ec3\u3002\u7136\u800c\uff0c\u7531\u4e8e\u9ad8\u6602\u7684\u83b7\u53d6\u6210\u672c\u6216\u9690\u79c1\u95ee\u9898\uff0c\u83b7\u53d6\u5927\u91cf\u6837\u4f8b\u901a\u5e38\u662f\u56f0\u96be\u7684\uff0c\u7a00\u7f3a\u7684\u8bad\u7ec3\u6570\u636e\u6210\u4e3a\u4e25\u91cd\u5236\u7ea6\u6c42\u89e3\u5668\u6027\u80fd\u7684\u74f6\u9888\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u7814\u7a76\u8005\u5e0c\u671b\u80fd\u5f00\u53d1 MILP \u4f18\u5316\u95ee\u9898\u7684\u6570\u636e\u751f\u6210\u6280\u672f\u6765\u7f13\u89e3\u6570\u636e\u7a00\u7f3a\u7684\u6311\u6218\u3002\u8fd1\u5e74\u6765\uff0c\u901a\u7528 MILP \u751f\u6210\u65b9\u9762\u53d6\u5f97\u4e86\u4e00\u4e9b\u8fdb\u5c55\u3002\u7136\u800c\uff0c\u73b0\u6709\u65b9\u6cd5\u4ecd\u7136\u9762\u4e34\u663e\u8457\u7684\u6311\u6218\u3002<\/p>\n<p>\uff081\uff09\u76ee\u524d\u7684\u65b9\u6cd5\u5728\u751f\u6210\u8fc7\u7a0b\u4e2d\u5f80\u5f80\u5ffd\u7565\u4e86 MILP \u7ea6\u675f\u7cfb\u6570\u77e9\u9635\u4e2d\u4e0e\u95ee\u9898\u5efa\u6a21\u7d27\u5bc6\u76f8\u8fde\u7684\u7279\u5b9a\u5757\u72b6\u7ed3\u6784\uff0c<strong>\u8fd9\u5bfc\u81f4\u4e86\u5757\u72b6\u7ed3\u6784\u7684\u7834\u574f\u548c\u95ee\u9898\u5efa\u6a21\u7684\u6539\u53d8<\/strong>\uff0c\u8fdb\u800c\u4ea7\u751f\u4e86\u96be\u5ea6\u8fc7\u4f4e\u6216\u8005\u4e0d\u53ef\u89e3\u7684\u6837\u4f8b\u3002<\/p>\n<p>\uff082\uff09\u73b0\u6709\u65b9\u6cd5\u672a\u80fd\u751f\u6210\u4e0e\u539f\u59cb\u6837\u4f8b\u4e0d\u540c\u5927\u5c0f\u7684\u6837\u4f8b\uff0c\u9650\u5236\u4e86\u6837\u4f8b\u7684\u591a\u6837\u6027\u3002<\/p>\n<p>\uff083\uff09\u5728\u751f\u6210\u5927\u89c4\u6a21\u6837\u4f8b\u65f6\uff0c\u73b0\u6709\u65b9\u6cd5\u9700\u8981\u5927\u91cf\u8fd0\u884c\u65f6\u95f4\u3002<\/p>\n<p>\u9488\u5bf9\u4e0a\u8ff0\u6311\u6218\uff0c\u7814\u7a76\u8005\u5c1d\u8bd5\u5206\u6790\u548c\u5229\u7528\u95ee\u9898\u7ed3\u6784\u4ee5\u89e3\u51b3\u4e0a\u8ff0\u95ee\u9898\u3002\u7814\u7a76\u8005\u89c2\u5bdf\u5230\u8bb8\u591a\u73b0\u5b9e\u4e16\u754c\u7684 MILP \u95ee\u9898\u5728\u5176\u7ea6\u675f\u7cfb\u6570\u77e9\u9635\u4e2d\u8868\u73b0\u51fa\u91cd\u590d\u7684\u5757\u5355\u5143\u6a21\u5f0f\u3002\u57fa\u4e8e\u6b64\uff0c\u7814\u7a76\u8005\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u9896\u7684 MILP \u751f\u6210\u6846\u67b6\uff0c\u8be5\u6846\u67b6\u5728\u6574\u4e2a\u751f\u6210\u8fc7\u7a0b\u4e2d\u8003\u8651\u95ee\u9898\u5206\u5757\u7ed3\u6784\uff0c\u4ece\u800c\u751f\u6210\u9ad8\u8d28\u91cf\u7684\u6837\u4f8b\u3002<\/p>\n<h4>\u80cc\u666f\u548c\u95ee\u9898\u4ecb\u7ecd<\/h4>\n<p>\u6df7\u5408\u6574\u6570\u7ebf\u6027\u89c4\u5212\uff08MILP\uff09\u662f\u4e00\u79cd\u5e94\u7528\u5e7f\u6cdb\u7684<strong>\u901a\u7528\u4f18\u5316\u6a21\u578b<\/strong>\uff0c\u5176\u5177\u4f53\u5f62\u5f0f\u5982\u4e0b<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202412\/08\/48d009a781b0188a24c0141449044e9322b43f.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u73b0\u5b9e\u5e94\u7528\u4e2d\uff0c\u8bb8\u591a MILP \u6837\u4f8b\u5728\u5176\u7ea6\u675f\u7cfb\u6570\u77e9\u9635 A \u4e2d\u8868\u73b0\u51fa\u7531\u591a\u4e2a\u5757\u5355\u5143\u7ec4\u6210\u7684\u5206\u5757\u7ed3\u6784\u3002\u8fd9\u4e9b\u5177\u6709\u5757\u7ed3\u6784\u7684 MILP \u95ee\u9898\uff0c\u5728\u73b0\u5b9e\u573a\u666f\u4e2d\u5e7f\u6cdb\u5b58\u5728\uff0c\u5305\u62ec\u591a\u4e2a\u88ab\u5e7f\u6cdb\u7814\u7a76\u7684\u591a\u4e2a\u6570\u636e\u96c6\uff0c\u5982\u7ec4\u5408\u62cd\u5356\uff08CA\uff09\u3001\u5bb9\u91cf\u8bbe\u65bd\u9009\u5740\uff08FA\uff09\u3001\u7269\u54c1\u653e\u7f6e\uff08IP\uff09\u3001\u591a\u91cd\u80cc\u5305\uff08MIK\uff09\u548c\u5de5\u4f5c\u8d1f\u8f7d\u5e73\u8861\uff08WA\uff09\u7b49\u3002\u5728\u56fe 1 \u4e2d\uff0c\u7814\u7a76\u8005\u4f7f\u7528\u53ef\u89c6\u5316\u8fd9\u4e9b MILP \u6837\u4f8b\u7684\u7ea6\u675f\u7cfb\u6570\u77e9\u9635\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s7.51cto.com\/oss\/202412\/08\/56120807940c5be30566270696e3d3b9243a1f.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u56fe 1\uff1a\u56db\u4e2a\u5e38\u89c1\u8fd0\u7b79\u4f18\u5316\u95ee\u9898\u4e2d\u7ea6\u675f\u7cfb\u6570\u77e9\u9635\u7684\u5206\u5757\u7ed3\u6784<\/p>\n<p>\u5728\u8fd0\u7b79\u5b66\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u65e9\u5df2\u6ce8\u610f\u5230\u6765\u81ea\u540c\u4e00\u95ee\u9898\u7c7b\u578b\u7684\u6837\u4f8b\u4e2d\u7ea6\u675f\u7cfb\u6570\u77e9\u9635\u7684\u76f8\u4f3c\u5757\u7ed3\u6784\uff0c\u5e76\u610f\u8bc6\u5230\u7ea6\u675f\u7cfb\u6570\u77e9\u9635\u5728\u786e\u5b9a\u95ee\u9898\u5efa\u6a21\u548c\u6570\u5b66\u6027\u8d28\u4e2d\u7684\u5173\u952e\u4f5c\u7528\u3002\u56e0\u6b64\uff0c\u73b0\u6709\u7684\u4e00\u4e9b MILP \u65b9\u6cd5\u5df2\u7ecf\u5229\u7528\u4e86\u8be5\u5206\u5757\u7ed3\u6784\uff0c\u5e76\u5728\u52a0\u901f\u6b64\u7c7b MILP \u95ee\u9898\u7684\u6c42\u89e3\u8fc7\u7a0b\u4e2d\u5c55\u73b0\u51fa\u4e86\u5de8\u5927\u6f5c\u529b\uff0c\u8457\u540d\u7684\u4f8b\u5b50\u5305\u62ec\u6c42\u89e3\u5927\u89c4\u6a21 MILP \u95ee\u9898\u7684 Dantzig-Wolfe 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alt=\"\u56fe\u7247\" data-type=\"inline\" \/>\u00a0\uff0c\u5728\u7b2c\u4e09\u4e2a\u4f8b\u5b50\u4e2d\u662f\u00a0<img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s3.51cto.com\/oss\/202412\/08\/c200705191b84dcc2e74494bedd8d48404dcd4.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" 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