{"id":45729,"date":"2023-10-11T19:39:06","date_gmt":"2023-10-11T11:39:06","guid":{"rendered":"https:\/\/swarma.org\/?p=45729"},"modified":"2023-10-11T19:39:06","modified_gmt":"2023-10-11T11:39:06","slug":"ai-for-math-%e5%9f%ba%e4%ba%8e%e5%bc%ba%e5%8c%96%e5%ad%a6%e4%b9%a0%e7%9a%84buchberger%e7%ae%97%e6%b3%95%e6%94%b9%e8%bf%9b%ef%bd%9c%e5%91%a8%e4%ba%94%e7%9b%b4%e6%92%ad%c2%b7%e4%ba%ba%e5%b7%a5%e6%99%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=45729","title":{"rendered":"AI For Math: \u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u7684Buchberger\u7b97\u6cd5\u6539\u8fdb\uff5c\u5468\u4e94\u76f4\u64ad\u00b7\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u8bfb\u4e66\u4f1a"},"content":{"rendered":"
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Buchberger\u7b97\u6cd5\u662f\u8ba1\u7b97\u4ee3\u6570\u51e0\u4f55\u4e2d\u6700\u57fa\u7840\u7684\u7b97\u6cd5\uff0c\u4f46\u662f\u5b83\u81ea\u8bde\u751f\u4e4b\u65e5\u8d77\u5c31\u5b58\u5728\u6548\u7387\u95ee\u9898\uff0c\u4e3b\u8981\u662f\u914d\u5bf9\u591a\u9879\u5f0f\u7684\u8ba1\u7b97\u91cf\u8fc7\u5927\u3002\u5728\u4e16\u7eaa\u4e4b\u4ea4\uff0c\u4eba\u4eec\u7528\u57fa\u4e8e\u7b7e\u540d\u7684\u65b9\u6cd5\u6539\u8fdb\u8fd9\u4e2a\u7b97\u6cd5\uff0c\u5e76\u5f97\u5230\u4e86\u5f88\u591a\u8fdb\u5c55\u3002\u52302020\u5e74\uff0cMike Stillman\u53ca\u5176\u56e2\u961f\u5f00\u59cb\u601d\u8003\u5229\u7528\u5f3a\u5316\u5b66\u4e60\u7684\u65b9\u6cd5\u6539\u8fdbBuchberger\u7b97\u6cd5\u3002\u8fd9\u6b21\u5206\u4eab\u5206\u4e3a\u4e09\u4e2a\u90e8\u5206\uff1aGrobner\u57fa\u7840\u7406\u8bba\u7684\u57fa\u672c\u6982\u5ff5\u548cBuchberger\u7b97\u6cd5\u7684\u539f\u59cb\u5f62\u5f0f\u300121\u4e16\u7eaa\u4ee5\u6765\u57fa\u4e8e\u7b7e\u540d\u7684\u6539\u8fdb\u65b9\u6cd5\uff0cMike Stillman\u53ca\u5176\u56e2\u961f\u7684\u57fa\u672c\u60f3\u6cd5\u3002<\/span><\/strong><\/span><\/strong><\/section>\n

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\u4e3a\u4e86\u63a2\u7d22\u6570\u5b66\u4e0e\u4eba\u5de5\u667a\u80fd\u6df1\u5ea6\u878d\u5408\u7684\u53ef\u80fd\u6027\uff0c\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u540c\u6d4e\u5927\u5b66\u7279\u8058\u7814\u7a76\u5458\u9648\u5c0f\u6768\u3001\u6e05\u534e\u5927\u5b66\u4ea4\u53c9\u4fe1\u606f\u5b66\u9662\u52a9\u7406\u6559\u6388\u8881\u6d0b\u3001\u5357\u6d0b\u7406\u5de5\u5927\u5b66\u526f\u6559\u6388\u590f\u514b\u6797\u4e09\u4f4d\u8001\u5e08\uff0c\u5171\u540c\u53d1\u8d77\u201c\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u201d\u8bfb\u4e66\u4f1a<\/a>\uff0c\u5e0c\u671b\u4ece AI for Math\uff0cMath for AI \u4e24\u4e2a\u65b9\u9762\u6df1\u5165\u63a2\u8ba8\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u7684\u5bc6\u5207\u8054\u7cfb\u3002\u672c\u8bfb\u4e66\u4f1a\u662f\u201cAI+Science\u201d\u4e3b\u9898\u8bfb\u4e66\u4f1a\u7684\u7b2c\u4e09\u5b63\u3002\u8bfb\u4e66\u4f1a\u81ea9\u670815\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a20:00-22:00\uff0c\u9884\u8ba1\u6301\u7eed\u65f6\u95f48\uff5e10\u5468\u3002\u6b22\u8fce\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u4e0e\uff01<\/span><\/strong><\/section>\n<\/section>\n
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    Cox D A , Little J , O’Shea D .Ideals, Varieties, and Algorithms. Springer 2015.<\/span><\/section>\n
    Christian Eder and Jean-Charles Faugre, A survey on signature-based Grbner basis computations.ACM Commun. Comput. Algebra 2014(49) https:\/\/arxiv.org\/pdf\/1404.1774.pdf<\/span><\/section>\n

    D Peifer,M Stillman, D Halpern-Leistner,Learning selection strategies in Buchberger’s algorithm.ICML’20: Proceedings of the 37th International Conference on Machine LearningJuly 2020Article No.: 702Pages 7575\u20137585,https:\/\/arxiv.org\/abs\/2005.01917<\/span><\/p>\n


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    \u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u8bfb\u4e66\u4f1a<\/a>\u4e3b\u8981\u56f4\u7ed5AI\u3000for\u3000math\uff0cmath\u3000for\u3000AI\u4e24\u4e2a\u65b9\u9762\u6df1\u5165\u63a2\u8ba8\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u7684\u5bc6\u5207\u8054\u7cfb\u3002\u9996\u5148\uff0c\u6211\u4eec\u5c06\u6982\u8ff0\u4eba\u5de5\u667a\u80fd\u5728\u6570\u5b66\u7684\u5e94\u7528\uff0c\u5e76\u6df1\u5165\u63a2\u8ba8\u5927\u6a21\u578b\u4e0e\u6570\u5b66\u63a8\u7406\uff0c\u5b9a\u7406\u81ea\u52a8\u8bc1\u660e\uff0c AI\u53d1\u73b0\u6570\u5b66\u89c4\u5f8b\uff0c\u7b26\u53f7\u8ba1\u7b97\u7b49\u65b9\u5411\u7684\u7814\u7a76\u5de5\u4f5c\u3002\u968f\u540e\uff0c\u6211\u4eec\u5c06\u8f6c\u5411\u5927\u6a21\u578b\u4e0e\u795e\u7ecf\u7f51\u7edc\u7684\u6570\u5b66\u57fa\u7840\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u6df1\u5165\u63a2\u8ba8\u51e0\u4f55\u4e0e\u62d3\u6251\u5728\u673a\u5668\u5b66\u4e60\u7684\u5e94\u7528\u3002\u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u8bfb\u4e66\u4f1a\u81ea2023\u5e749\u670815\u65e5\u5f00\u59cb\uff0c\u6bcf\u5468\u4e94\u665a\u4e0a20:00-22:00\u4e3e\u529e\uff0c\u6301\u7eed\u65f6\u95f4\u9884\u8ba1 8 \u5468\u3002\u6b22\u8fce\u5bf9\u672c\u8bdd\u9898\u611f\u5174\u8da3\u7684\u670b\u53cb\u62a5\u540d\u53c2\u52a0\uff01<\/span><\/p>\n


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    <\/span><\/a><\/span><\/section>\n

    <\/span><\/section>\n

    \u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/p>\n

    \u4eba\u5de5\u667a\u80fd\u4e0e\u6570\u5b66\u8bfb\u4e66\u4f1a\u542f\u52a8\uff1aAI for Math\uff0cMath for AI<\/a><\/span>
    <\/span><\/p>\n


    <\/span><\/p>\n


    <\/section>\n
    \u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/span><\/section>\n

    <\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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