{"id":39369,"date":"2025-03-12T23:02:21","date_gmt":"2025-03-12T15:02:21","guid":{"rendered":"https:\/\/17aitech.com\/?p=39369"},"modified":"2025-03-12T23:02:21","modified_gmt":"2025-03-12T15:02:21","slug":"%e5%b0%86%e5%93%88%e5%af%86%e9%a1%bf%e5%8a%9b%e5%ad%a6%e6%b3%9b%e5%8c%96%e5%88%b0%e7%a5%9e%e7%bb%8f%e7%ae%97%e5%ad%90%ef%bc%8c%e4%bd%95%e6%81%ba%e6%98%8e%e5%9b%a2%e9%98%9f%e5%8f%88%e5%8f%91%e6%96%b0","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=39369","title":{"rendered":"\u5c06\u54c8\u5bc6\u987f\u529b\u5b66\u6cdb\u5316\u5230\u795e\u7ecf\u7b97\u5b50\uff0c\u4f55\u607a\u660e\u56e2\u961f\u53c8\u53d1\u65b0\u4f5c\uff0c\u5b9e\u73b0\u66f4\u9ad8\u7ea7\u7269\u7406\u63a8\u7406"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-03-12-10\" target=\"_blank\">\u5c06\u54c8\u5bc6\u987f\u529b\u5b66\u6cdb\u5316\u5230\u795e\u7ecf\u7b97\u5b50\uff0c\u4f55\u607a\u660e\u56e2\u961f\u53c8\u53d1\u65b0\u4f5c\uff0c\u5b9e\u73b0\u66f4\u9ad8\u7ea7\u7269\u7406\u63a8\u7406<\/a><\/p>\n<p>\u7ee7\u4e0a\u6708\u672b\u8fde\u53d1\u4e24\u7bc7\u8bba\u6587\uff08<a data-itemshowtype=\"0\" data-linktype=\"2\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzA3MzI4MjgzMw==&amp;mid=2650955908&amp;idx=1&amp;sn=7e5ec429aba42c54d9b1da36f4cb055f&amp;scene=21#wechat_redirect\" target=\"_blank\">\u6269\u6563\u6a21\u578b\u4e0d\u4e00\u5b9a\u9700\u8981\u566a\u58f0\u6761\u4ef6<\/a>\u548c<a data-itemshowtype=\"0\" data-linktype=\"2\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzA3MzI4MjgzMw==&amp;mid=2650956888&amp;idx=2&amp;sn=3fe1a65f8013a9f2df688c44ef7aceec&amp;scene=21#wechat_redirect\" target=\"_blank\">\u5206\u5f62\u751f\u6210\u6a21\u578b<\/a>\uff09\u4e4b\u540e\uff0c\u5927\u795e\u4f55\u607a\u660e\u53c8\u51fa\u65b0\u4f5c\u4e86\uff01\u8fd9\u6b21\u7684\u4e3b\u9898\u662f\u300c\u7528\u4e8e\u7269\u7406\u63a8\u7406\u7684\u53bb\u566a\u54c8\u5bc6\u987f\u7f51\u7edc\u300d\u3002<\/p>\n<p>\u7269\u7406\u63a8\u7406\u5305\u542b\u63a8\u65ad\u3001\u9884\u6d4b\u548c\u89e3\u91ca\u52a8\u6001\u7cfb\u7edf\u884c\u4e3a\u7684\u80fd\u529b\uff0c\u8fd9\u4e9b\u662f\u79d1\u5b66\u7814\u7a76\u7684\u57fa\u7840\u3002\u5e94\u5bf9\u6b64\u7c7b\u6311\u6218\u7684\u673a\u5668\u5b66\u4e60\u6846\u67b6\u901a\u5e38\u88ab\u671f\u671b\u8d85\u8d8a\u4ec5\u4ec5\u8bb0\u5fc6\u6570\u636e\u5206\u5e03\u7684\u505a\u6cd5\uff0c\u4ece\u800c\u7ef4\u62a4\u7269\u7406\u5b9a\u5f8b\uff0c\u89e3\u91ca\u80fd\u91cf\u548c\u529b\u7684\u5173\u7cfb\uff0c\u5e76\u7eb3\u5165\u8d85\u8d8a\u7eaf\u6570\u636e\u9a71\u52a8\u6a21\u578b\u7684\u7ed3\u6784\u5316\u5f52\u7eb3\u504f\u5dee\u3002\u79d1\u5b66\u7684\u673a\u5668\u5b66\u4e60\u901a\u8fc7\u5c06\u7269\u7406\u7ea6\u675f\u76f4\u63a5\u5d4c\u5165\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\uff08\u901a\u5e38\u901a\u8fc7\u663e\u5f0f\u6784\u5efa\u7269\u7406\u7b97\u5b50\uff09\u6765\u89e3\u51b3\u8fd9\u4e00\u6311\u6218\u3002\u00a0<\/p>\n<p>\u4e0d\u8fc7\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u9762\u4e34\u4e24\u4e2a\u5173\u952e\u9650\u5236\u3002\u5176\u4e00\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u4e3b\u8981\u5b66\u4e60\u5c40\u90e8\u65f6\u5e8f\u66f4\u65b0\uff08\u9884\u6d4b\u4ece\u4e00\u4e2a\u65f6\u95f4\u6b65\u9aa4\u5230\u4e0b\u4e00\u4e2a\u65f6\u95f4\u6b65\u9aa4\u7684\u72b6\u6001\u8f6c\u6362\uff09\uff0c\u800c\u4e0d\u6355\u83b7\u8fdc\u7a0b\u4f9d\u8d56\u6216\u62bd\u8c61\u7684\u7cfb\u7edf\u7ea7\u4ea4\u4e92\u3002\u5176\u4e8c\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u4e3b\u8981\u5173\u6ce8\u524d\u5411\u6a21\u62df\uff0c\u4ece\u521d\u59cb\u6761\u4ef6\u9884\u6d4b\u7cfb\u7edf\u7684\u6f14\u53d8\uff0c\u800c\u5728\u5f88\u5927\u7a0b\u5ea6\u4e0a\u5ffd\u7565\u4e86\u8d85\u5206\u8fa8\u7387\u3001\u8f68\u8ff9\u4fee\u590d\u6216\u4ece\u7a00\u758f\u89c2\u6d4b\u4e2d\u8fdb\u884c\u53c2\u6570\u4f30\u8ba1\u7b49\u4e92\u8865\u4efb\u52a1\u3002<\/p>\n<p>\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u9650\u5236\uff0c\u4f55\u607a\u660e\u7b49\u6765\u81ea MIT\u3001\u65af\u5766\u798f\u5927\u5b66\u7b49\u673a\u6784\u7684\u7814\u7a76\u8005<strong>\u63d0\u51fa\u4e86\u53bb\u566a\u54c8\u5bc6\u987f\u7f51\u7edc\uff08Denoising Hamiltonian Network\uff0cDHN\uff09\uff0c\u8fd9\u662f\u4e00\u4e2a\u5c06\u54c8\u5bc6\u987f\u529b\u5b66\u6cdb\u5316\u5230\u795e\u7ecf\u7b97\u5b50\u7684\u6846\u67b6\u3002<\/strong><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-71a621fa0c8763213e8a3a751f772a3f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-71a621fa0c8763213e8a3a751f772a3f.png\"><\/a><\/p>\n<ul>\n<li>\n<section>\u8bba\u6587\u6807\u9898\uff1aDenoising Hamiltonian Network for Physical Reasoning<\/section>\n<\/li>\n<li>\n<section>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2503.07596<\/section>\n<\/li>\n<\/ul>\n<p>\u4e0b\u56fe 1 \u4e3a\u53bb\u566a\u54c8\u5bc6\u987f\u7f51\u7edc\uff08DHN\uff09\u6982\u89c8\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-59235af3b06373d1ce1ef1cabcf3f5b7.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-59235af3b06373d1ce1ef1cabcf3f5b7.png\"><\/a><\/p>\n<p>\u7814\u7a76\u8005\u8868\u793a\uff0cDHN \u5728\u5229\u7528\u795e\u7ecf\u7f51\u7edc\u7075\u6d3b\u6027\u7684\u540c\u65f6\u5b9e\u65bd\u7269\u7406\u7ea6\u675f\uff0c\u5e26\u6765\u4ee5\u4e0b\u4e09\u9879\u5173\u952e\u521b\u65b0\u3002\u00a0<\/p>\n<p>\u9996\u5148\uff0cDHN \u901a\u8fc7\u5c06\u7cfb\u7edf\u72b6\u6001\u7ec4\u5408\u89c6\u4e3a token \u6765\u6269\u5c55\u54c8\u5bc6\u987f\u795e\u7ecf\u7b97\u5b50\u4ee5\u6355\u83b7\u975e\u5c40\u90e8\u65f6\u95f4\u5173\u7cfb\uff0c\u4ece\u800c\u80fd\u591f\u4ece\u6574\u4f53\u4e0a\u5bf9\u7cfb\u7edf\u52a8\u6001\u8fdb\u884c\u63a8\u7406\uff0c\u800c\u4e0d\u662f\u5206\u6b65\u63a8\u7406\u3002<\/p>\n<p>\u5176\u6b21\uff0cDHN \u96c6\u6210\u4e86\u4e00\u4e2a\u53bb\u566a\u76ee\u6807\uff0c\u5176\u7075\u611f\u6765\u81ea\u53bb\u566a\u6269\u6563\u6a21\u578b\uff0c\u7528\u4e8e\u51cf\u8f7b\u6570\u503c\u79ef\u5206\u8bef\u5dee\u3002\u901a\u8fc7\u8fed\u4ee3\u5730\u5c06\u5176\u9884\u6d4b\u7ec6\u5316\u4e3a\u7269\u7406\u4e0a\u6709\u6548\u7684\u8f68\u8ff9\uff0cDHN \u63d0\u9ad8\u4e86\u957f\u671f\u9884\u6d4b\u7684\u7a33\u5b9a\u6027\uff0c\u540c\u65f6\u4fdd\u6301\u4e86\u5728\u4e0d\u540c\u566a\u58f0\u6761\u4ef6\u4e0b\u7684\u9002\u5e94\u6027\u3002\u6b64\u5916\uff0c\u901a\u8fc7\u5229\u7528\u4e0d\u540c\u7684\u566a\u58f0\u6a21\u5f0f\uff0cDHN \u652f\u6301\u5728\u5404\u79cd\u4efb\u52a1\u573a\u666f\u4e2d\u8fdb\u884c\u7075\u6d3b\u7684\u8bad\u7ec3\u548c\u63a8\u7406\u3002\u00a0<\/p>\n<p>\u6700\u540e\uff0c\u7814\u7a76\u8005\u5f15\u5165\u4e86\u5168\u5c40\u6761\u4ef6\u4ee5\u4fc3\u8fdb\u591a\u7cfb\u7edf\u5efa\u6a21\u3002\u4e00\u4e2a\u5171\u4eab\u7684\u5168\u5c40\u6f5c\u5728\u4ee3\u7801\u88ab\u7528\u6765\u5bf9\u7cfb\u7edf\u7279\u5b9a\u5c5e\u6027\uff08\u4f8b\u5982\u8d28\u91cf\u3001\u6446\u957f\uff09\u8fdb\u884c\u7f16\u7801\uff0c\u4f7f DHN \u80fd\u591f\u5728\u7edf\u4e00\u6846\u67b6\u4e0b\u5bf9\u5f02\u6784\u7269\u7406\u7cfb\u7edf\u8fdb\u884c\u5efa\u6a21\uff0c\u540c\u65f6\u4fdd\u6301\u5e95\u5c42\u52a8\u6001\u7684\u89e3\u8026\u8868\u793a\u3002<\/p>\n<p>\u5728\u5b9e\u9a8c\u90e8\u5206\uff0c\u4e3a\u4e86\u8bc4\u4f30 DHN \u7684\u901a\u7528\u6027\uff0c\u7814\u7a76\u8005\u901a\u8fc7\u4e09\u4e2a\u4e0d\u540c\u7684\u63a8\u7406\u4efb\u52a1\u5bf9\u5176\u8fdb\u884c\u4e86\u6d4b\u8bd5\uff0c\u5305\u62ec\u8f68\u8ff9\u9884\u6d4b\u548c\u5b8c\u6210\u3001\u4ece\u90e8\u5206\u89c2\u5bdf\u4e2d\u63a8\u65ad\u7269\u7406\u53c2\u6570\uff0c\u4ee5\u53ca\u901a\u8fc7\u6e10\u8fdb\u5f0f\u8d85\u5206\u8fa8\u7387\u63d2\u5165\u7a00\u758f\u8f68\u8ff9\u3002\u00a0<\/p>\n<p>\u603b\u4e4b\uff0c\u8fd9\u9879\u5de5\u4f5c\u63a8\u52a8\u4e86\u5728\u5c40\u90e8\u65f6\u5e8f\u5173\u7cfb\u4e4b\u5916\u5d4c\u5165\u7269\u7406\u7ea6\u675f\u7684\u66f4\u901a\u7528\u67b6\u6784\u7684\u53d1\u5c55\uff0c\u4e3a\u66f4\u5e7f\u6cdb\u7684\u7269\u7406\u63a8\u7406\u5e94\u7528\u5f00\u8f9f\u4e86\u9053\u8def\uff0c\u8d85\u8d8a\u4e86\u4f20\u7edf\u7684\u524d\u5411\u6a21\u62df\u548c\u4e0b\u4e00\u72b6\u6001\u9884\u6d4b\u3002<\/p>\n<p>\u8bba\u6587\u4e00\u4f5c Congyue Deng \u53d1\u63a8\u8868\u793a\uff0c\u8fc7\u53bb\u901a\u8fc7\u6269\u5c55\u5377\u79ef\u7b97\u5b50\u4f7f\u5176\u4ece\u4f4e\u7ea7\u56fe\u50cf\u5904\u7406\u4e0a\u5347\u5230\u9ad8\u7ea7\u89c6\u89c9\u63a8\u7406\uff0c\u5982\u4eca DHN \u53ef\u4ee5\u901a\u8fc7\u6269\u5c55\u7269\u7406\u7b97\u5b50\u6765\u5b9e\u73b0\u66f4\u9ad8\u7ea7\u7684\u7269\u7406\u63a8\u7406\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-a53db790ca37c621c2b356dd841f456a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-a53db790ca37c621c2b356dd841f456a.png\"><\/a><\/p>\n<p>\u540c\u65f6\uff0c\u5979\u4e5f\u63d0\u51fa\u4e86\u4e09\u4e2a\u5f00\u653e\u6027\u95ee\u9898\uff0c\u5305\u62ec\u300c\u5982\u4f55\u5b9a\u4e49\u6df1\u5ea6\u5b66\u4e60\u4e2d\u7684\u7269\u7406\u63a8\u7406\u300d\u3001\u300c\u4ec0\u4e48\u662f\u7269\u7406\u6a21\u62df\u300d\u3001\u300c\u795e\u7ecf\u7f51\u7edc\u5e94\u8be5\u5177\u5907\u54ea\u4e9b\u7269\u7406\u5c5e\u6027\u300d\u3002\u5979\u8bf4\u5230\uff0cDHN \u4e0d\u662f\u6700\u7ec8\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u53ea\u662f\u4e00\u4e2a\u5f00\u59cb\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ee6f3cb4e535807ef95d03c863848fff.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ee6f3cb4e535807ef95d03c863848fff.png\"><\/a><\/p>\n<p><strong>\u65b9\u6cd5\u6982\u89c8<\/strong><\/p>\n<p>\u672c\u6587\u7684\u76ee\u6807\u662f\u8bbe\u8ba1\u66f4\u901a\u7528\u7684\u795e\u7ecf\u7b97\u5b50\uff0c\u65e2\u9075\u5faa\u7269\u7406\u7ea6\u675f\uff0c\u53c8\u91ca\u653e\u795e\u7ecf\u7f51\u7edc\u4f5c\u4e3a\u53ef\u4f18\u5316\u9ed1\u76d2\u51fd\u6570\u7684\u7075\u6d3b\u6027\u548c\u8868\u73b0\u529b\u3002\u7814\u7a76\u8005\u9996\u5148\u95ee\u4e86\u4e00\u4e2a\u95ee\u9898\uff1a\u9664\u4e86\u4e0b\u4e00\u72b6\u6001\u9884\u6d4b\u4e4b\u5916\uff0c\u6211\u4eec\u8fd8\u80fd\u5efa\u6a21\u54ea\u4e9b\u300c\u7269\u7406\u5173\u7cfb\u300d\uff1f\u00a0<\/p>\n<p>\u4e0b\u56fe 2 \u6bd4\u8f83\u4e86\u4e09\u79cd\u4e0d\u4f7f\u7528\u673a\u5668\u5b66\u4e60\u6765\u5efa\u6a21\u7269\u7406\u7cfb\u7edf\u7684\u7ecf\u5178\u65b9\u6cd5\uff0c\u5305\u62ec\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\n<section>\u5168\u5c40\u89e3\u6790\u89e3\u51b3\u65b9\u6848\u3002\u5bf9\u4e8e\u5177\u6709\u89c4\u5219\u7ed3\u6784\u7684\u7b80\u5355\u7cfb\u7edf\uff0c\u4eba\u4eec\u901a\u5e38\u76f4\u63a5\u5f97\u51fa\u95ed\u5f0f\u89e3\u3002<\/section>\n<\/li>\n<li>\n<section>PDE + \u6570\u503c\u79ef\u5206\uff0c\u5728\u66f4\u590d\u6742\u7684\u73af\u5883\u4e2d\uff0c\u5982\u679c\u6ca1\u6709\u95ed\u5f0f\u89e3\uff0c\u6807\u51c6\u505a\u6cd5\u662f\u5c06\u7cfb\u7edf\u7684\u52a8\u6001\u8fc7\u7a0b\u8868\u793a\u4e3a PDE\uff0c\u7136\u540e\u901a\u8fc7\u6570\u503c\u65b9\u6cd5\u9010\u6b65\u6c42\u89e3\u3002<\/section>\n<\/li>\n<li>\n<section>\u76f4\u63a5\u5168\u5c40\u5173\u7cfb\u3002\u5728\u67d0\u4e9b\u590d\u6742\u7cfb\u7edf\u4e2d\uff08\u4f8b\u5982\u6ca1\u6709\u8017\u6563\u529b\u7684\u7eaf\u4fdd\u5b88\u7cfb\u7edf\uff09\uff0c\u65f6\u95f4\u4e0a\u76f8\u8ddd\u8f83\u8fdc\u7684\u72b6\u6001\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u5168\u5c40\u5b88\u6052\u5b9a\u5f8b\uff08\u4f8b\u5982\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\uff09\u6765\u5173\u8054\u3002<\/section>\n<\/li>\n<\/ul>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-84b1d59d1cc9ea53cc45b37e25513df7.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-84b1d59d1cc9ea53cc45b37e25513df7.png\"><\/a><\/p>\n<p>\u56fe 3 \u5c55\u793a\u4e86\u4e00\u4e2a\u79bb\u6563\u7684\u54c8\u5bc6\u987f\u7f51\u7edc\uff08\u53f3\uff09\uff0c\u7528\u4e8e\u8ba1\u7b97\u65f6\u95f4\u6b65\u957f t_0 \u548c t_1 \u4e4b\u95f4\u7684\u72b6\u6001\u5173\u7cfb\u3002\u7814\u7a76\u8005\u4e3b\u8981\u4f7f\u7528\u54c8\u5bc6\u987f H^+\uff08\u53f3\uff09\u6765\u63cf\u8ff0\u4ed6\u4eec\u7684\u7f51\u7edc\u8bbe\u8ba1\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-1decca4a9562918ac45972bd20f123a2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-1decca4a9562918ac45972bd20f123a2.png\"><\/a><\/p>\n<p><strong>\u53bb\u566a\u54c8\u5bc6\u987f\u7f51\u7edc\u00a0<\/strong><\/p>\n<p>\u63a9\u7801\u5efa\u6a21\u548c\u53bb\u566a\u3002\u7814\u7a76\u8005\u5e0c\u671b\u54c8\u5bc6\u987f\u5757\u4e0d\u4ec5\u80fd\u5bf9\u8de8\u65f6\u95f4\u6b65\u7684\u72b6\u6001\u5173\u7cfb\u8fdb\u884c\u5efa\u6a21\uff0c\u8fd8\u80fd\u5b66\u4e60\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u72b6\u6001\u4f18\u5316\uff0c\u4ee5\u4fbf\u8fdb\u884c\u63a8\u7406\u3002\u4e3a\u6b64\uff0c\u4ed6\u4eec\u91c7\u7528\u4e86\u63a9\u7801\u5efa\u6a21\u7b56\u7565\uff0c\u5728\u8bad\u7ec3\u7f51\u7edc\u65f6\u5c4f\u853d\u6389\u90e8\u5206\u8f93\u5165\u72b6\u6001\uff08\u56fe 5\uff09\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-990646a769838fa72b9b13ed7eedc3e6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-990646a769838fa72b9b13ed7eedc3e6.png\"><\/a><\/p>\n<p>\u8fd9\u91cc\u4e0d\u662f\u7b80\u5355\u5730\u5c4f\u853d\u8f93\u5165\u72b6\u6001\uff0c\u800c\u662f\u7528\u4e0d\u540c\u5e45\u5ea6\u7684\u566a\u58f0\u91c7\u6837\u5bf9\u8f93\u5165\u72b6\u6001\u8fdb\u884c\u6270\u52a8\uff08\u56fe 5\uff09\u3002\u8fd9\u79cd\u7b56\u7565\u53ef\u786e\u4fdd\u6a21\u578b\u5b66\u4f1a\u8fed\u4ee3\u6539\u8fdb\u9884\u6d4b\uff0c\u4f7f\u5176\u80fd\u591f\u4ece\u635f\u574f\u6216\u4e0d\u5b8c\u6574\u7684\u89c2\u6d4b\u7ed3\u679c\u4e2d\u6062\u590d\u6709\u7269\u7406\u610f\u4e49\u7684\u72b6\u6001\u3002<\/p>\n<p>\u5177\u4f53\u6765\u8bf4\uff0c\u7814\u7a76\u8005\u5b9a\u4e49\u4e86\u4e00\u4e2a\u566a\u58f0\u6c34\u5e73\u9012\u589e\u7684\u5e8f\u5217<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-2d96306c09524e8351e8e79505848efe.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-2d96306c09524e8351e8e79505848efe.png\"><\/a><\/p>\n<p>\u4ee5\u963b\u585e\u8f93\u5165\u72b6\u6001<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-38fb63caf132d61af7e2e650f8b3891f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-38fb63caf132d61af7e2e650f8b3891f.png\"><\/a>\u4e3a\u4f8b\uff0c\u7814\u7a76\u8005\u968f\u673a\u91c7\u6837\u9ad8\u65af\u566a\u58f0<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-502ac3ed34fbd0d057a86cb65094abd8.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-502ac3ed34fbd0d057a86cb65094abd8.png\"><\/a>\u548c\u6bcf\u4e2a\u72b6\u6001\u7684\u566a\u58f0\u89c4\u6a21 <a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-72e7d787452e7bbc7b227ab31de31fde.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-72e7d787452e7bbc7b227ab31de31fde.png\"><\/a>\u3002<\/p>\n<p>\u5728\u5b9e\u9a8c\u4e2d\uff0c\u53bb\u566a\u6b65\u6570\u8bbe\u7f6e\u4e3a 10\u3002\u5728\u63a8\u7406\u65f6\uff0c\u7814\u7a76\u8005\u7528\u4e00\u8fde\u4e32\u540c\u6b65\u4e8e\u6240\u6709\u672a\u77e5\u72b6\u6001\u7684\u9012\u51cf\u566a\u58f0\u5c3a\u5ea6\u5bf9\u672a\u77e5\u72b6\u6001\u8fdb\u884c\u9010\u6b65\u53bb\u566a\u3002\u4ed6\u4eec\u540c\u65f6\u5e94\u7528<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-f5f214ad8029b759d9f97dabb4587d3b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-f5f214ad8029b759d9f97dabb4587d3b.png\"><\/a>\u548c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-937ac6042f1decfa4f3dff6a481c993a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-937ac6042f1decfa4f3dff6a481c993a.png\"><\/a>\u6765\u8fed\u4ee3\u66f4\u65b0<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0d658d5ac3f433c85003b164ab59b720.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-0d658d5ac3f433c85003b164ab59b720.png\"><\/a>\u548c<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ce85489866570b9a9523594c0bab4dfc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-ce85489866570b9a9523594c0bab4dfc.png\"><\/a>\u3002<\/p>\n<p>\u4e0d\u540c\u7684\u63a9\u7801\u6a21\u5f0f\u901a\u8fc7\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u8bbe\u8ba1\u4e0d\u540c\u7684\u63a9\u7801\u6a21\u5f0f\uff0c\u53ef\u4ee5\u6839\u636e\u4e0d\u540c\u7684\u4efb\u52a1\u5236\u5b9a\u7075\u6d3b\u7684\u63a8\u7406\u7b56\u7565\u3002\u56fe 6 \u5c55\u793a\u4e86\u4e09\u79cd\u4e0d\u540c\u7684\u63a9\u7801\u6a21\u5f0f\uff1a\u901a\u8fc7\u5c4f\u853d\u4e00\u4e2a\u6570\u636e\u5757\u7684\u6700\u540e\u51e0\u4e2a\u72b6\u6001\u6765\u5b9e\u73b0\u81ea\u56de\u5f52\uff0c\u8fd9\u7c7b\u4f3c\u4e8e\u5229\u7528\u524d\u5411\u5efa\u6a21\u8fdb\u884c\u4e0b\u4e00\u72b6\u6001\u9884\u6d4b\u7684\u7269\u7406\u6a21\u62df\uff1b\u901a\u8fc7\u63a9\u7801\u4e00\u4e2a\u6570\u636e\u5757\u4e2d\u95f4\u7684\u72b6\u6001\u6765\u5b9e\u73b0\u8d85\u5206\u8fa8\u7387\uff0c\u8fd9\u53ef\u5e94\u7528\u4e8e\u6570\u636e\u63d2\u503c\uff1b\u66f4\u5e7f\u6cdb\u5730\u8bf4\uff0c\u5305\u62ec\u968f\u673a\u63a9\u7801\u5728\u5185\u7684\u4efb\u610f\u987a\u5e8f\u63a9\u7801\uff0c\u63a9\u7801\u6a21\u5f0f\u6839\u636e\u4efb\u52a1\u8981\u6c42\u8fdb\u884c\u81ea\u9002\u5e94\u8bbe\u8ba1\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-02d90325da91966bcb1bfb0aee636fe9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-02d90325da91966bcb1bfb0aee636fe9.png\"><\/a><\/p>\n<p><strong>\u7f51\u7edc\u67b6\u6784<\/strong><\/p>\n<p>\u7eaf\u89e3\u7801\u5668 Transformer\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u54c8\u5bc6\u987f\u5757\uff0c\u7f51\u7edc\u8f93\u5165\u662f\u4e0d\u540c\u65f6\u95f4\u6b65\u7684<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-1f4738407bb2b8fb1a1656f81ee88bd7.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-1f4738407bb2b8fb1a1656f81ee88bd7.png\"><\/a>\u6808\u3001<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-e6a2535d64827f38d4b15b0ace9a9afb.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-e6a2535d64827f38d4b15b0ace9a9afb.png\"><\/a>\u6808\uff0c\u7814\u7a76\u8005\u8fd8\u5f15\u5165\u4e86\u6574\u4e2a\u8f68\u8ff9\u7684\u5168\u5c40\u6f5c\u7801 z \u4f5c\u4e3a\u6761\u4ef6\u3002\u5982\u56fe 7 \u6240\u793a\uff0c\u7814\u7a76\u8005\u91c7\u7528\u4e86\u4e00\u79cd\u7eaf\u89e3\u7801\u5668 Transformer\uff0c\u5b83\u7c7b\u4f3c\u4e8e\u7c7b\u4f3c\u4e8e GPT \u7684\u7eaf\u89e3\u7801\u5668\u67b6\u6784\uff0c\u4f46\u6ca1\u6709\u56e0\u679c\u6ce8\u610f\u529b\u63a9\u7801\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-da694dced9617d7ffc27b27d91ccb87f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-da694dced9617d7ffc27b27d91ccb87f.png\"><\/a><\/p>\n<p>\u7814\u7a76\u8005\u5c06\u6240\u6709\u8f93\u5165 token<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-a80c41d65c05ebfe6bce772469a60f77.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-a80c41d65c05ebfe6bce772469a60f77.png\"><\/a>\u4f5c\u4e3a\u957f\u5ea6\u4e3a 2b + 1 \u7684\u5e8f\u5217\u5e94\u7528\u4e86\u81ea\u6ce8\u610f\u529b\u3002\u5168\u5c40\u6f5c\u7801 z \u4f5c\u4e3a\u67e5\u8be2 token\uff0c\u7528\u4e8e\u8f93\u51fa\u54c8\u5bc6\u987f\u503c H\u3002\u8fd8\u901a\u8fc7\u5728\u4f4d\u7f6e\u5d4c\u5165\u4e2d\u6dfb\u52a0\u6bcf\u4e2a\u72b6\u6001\u7684\u566a\u58f0\u6807\u5ea6\uff0c\u5c06\u5176\u7f16\u7801\u5230\u7f51\u7edc\u4e2d\u3002\u5728\u5b9e\u9a8c\u4e2d\uff0c\u7814\u7a76\u8005\u5b9e\u73b0\u4e86\u4e00\u4e2a\u9002\u5408\u5355 GPU \u7684\u7b80\u5355\u53cc\u5c42 Transformer\u3002<\/p>\n<p>\u81ea\u89e3\u7801\u3002\u7814\u7a76\u8005\u6ca1\u6709\u4f9d\u8d56\u7f16\u7801\u5668\u7f51\u7edc\u4ece\u8f68\u8ff9\u6570\u636e\u4e2d\u63a8\u65ad\u5168\u5c40\u6f5c\u7801\uff0c\u800c\u662f\u91c7\u7528\u4e86\u81ea\u89e3\u7801\u5668\u6846\u67b6\uff0c\u4e3a\u6bcf\u6761\u8f68\u8ff9\u7ef4\u62a4\u4e00\u4e2a\u53ef\u5b66\u4e60\u7684\u6f5c\u7801 z\uff08\u56fe 8\uff09\u3002\u8fd9\u79cd\u65b9\u6cd5\u5141\u8bb8\u6a21\u578b\u9ad8\u6548\u5730\u5b58\u50a8\u548c\u5b8c\u5584\u7279\u5b9a\u7cfb\u7edf\u7684\u5d4c\u5165\uff0c\u800c\u4e0d\u9700\u8981\u5355\u72ec\u7684\u7f16\u7801\u8fc7\u7a0b\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u7814\u7a76\u8005\u4f1a\u8054\u5408\u4f18\u5316\u7f51\u7edc\u6743\u91cd\u548c\u4ee3\u7801\u5e93\u3002\u8bad\u7ec3\u7ed3\u675f\u540e\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u65b0\u8f68\u8ff9\uff0c\u51bb\u7ed3\u7f51\u7edc\u6743\u91cd\uff0c\u53ea\u4f18\u5316\u65b0\u8f68\u8ff9\u7684\u6f5c\u7801\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-1147b315d599bcf66a4f404264bf0a8c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-1147b315d599bcf66a4f404264bf0a8c.png\"><\/a><\/p>\n<p><strong>\u5b9e\u9a8c<\/strong><\/p>\n<p>\u7814\u7a76\u8005\u7528\u4e24\u79cd\u8bbe\u7f6e\u6765\u8bc4\u4f30\u6a21\u578b\uff1a\u5355\u6446\u548c\u53cc\u6446\u3002\u4e24\u79cd\u8bbe\u7f6e\u90fd\u5305\u542b\u4e00\u4e2a\u6a21\u62df\u8f68\u8ff9\u6570\u636e\u96c6\u3002\u5355\u6446\u662f\u4e00\u4e2a\u5468\u671f\u6027\u7cfb\u7edf\uff0c\u6bcf\u4e2a\u72b6\u6001\u4e0b\u7684\u603b\u80fd\u91cf\u90fd\u53ef\u4ee5\u901a\u8fc7\uff08q, p\uff09\u76f4\u63a5\u8ba1\u7b97\u51fa\u6765\uff0c\u56e0\u6b64\u6b64\u5904\u7528\u5b83\u6765\u8bc4\u4f30\u6a21\u578b\u7684\u80fd\u91cf\u5b88\u6052\u80fd\u529b\u3002\u53cc\u6446\u662f\u4e00\u4e2a\u6df7\u6c8c\u7cfb\u7edf\uff0c\u5fae\u5c0f\u7684\u6270\u52a8\u4f1a\u5bfc\u81f4\u672a\u6765\u72b6\u6001\u7684\u504f\u79bb\u3002<\/p>\n<p>\u4ed6\u4eec\u7528\u4e0e\u56fe 6 \u4e2d\u4e09\u79cd\u4e0d\u540c\u63a9\u7801\u6a21\u5f0f\u76f8\u5bf9\u5e94\u7684\u4e09\u79cd\u4e0d\u540c\u4efb\u52a1\u6765\u6d4b\u8bd5\u6a21\u578b\u3002\u5b83\u4eec\u5206\u522b\u662f\uff1a(i) \u7528\u4e8e\u524d\u5411\u6a21\u62df\u7684\u4e0b\u4e00\u72b6\u6001\u9884\u6d4b\uff08\u81ea\u56de\u5f52\uff09\uff1b(ii) \u7528\u4e8e\u7269\u7406\u53c2\u6570\u63a8\u65ad\u7684\u968f\u673a\u63a9\u853d\u8868\u793a\u5b66\u4e60\uff1b\u4ee5\u53ca (iii) \u7528\u4e8e\u8f68\u8ff9\u63d2\u503c\u7684\u6e10\u8fdb\u5f0f\u8d85\u5206\u8fa8\u7387\u3002\u8fd9\u4e9b\u4efb\u52a1\u7a81\u51fa\u4e86 DHN \u5bf9\u5404\u79cd\u7269\u7406\u63a8\u7406\u6311\u6218\u7684\u9002\u5e94\u6027\uff0c\u6d4b\u8bd5\u4e86\u5b83\u5728\u4e0d\u540c\u89c2\u6d4b\u9650\u5236\u6761\u4ef6\u4e0b\u751f\u6210\u3001\u63a8\u65ad\u548c\u63d2\u503c\u7cfb\u7edf\u52a8\u6001\u7684\u80fd\u529b\u3002<\/p>\n<p><strong>\u524d\u5411\u6a21\u62df<\/strong><\/p>\n<ul>\n<li>\n<section>\u62df\u5408\u5df2\u77e5\u8f68\u8ff9<\/section>\n<\/li>\n<\/ul>\n<p>\u56fe 9 \u663e\u793a\u4e86\u91c7\u7528\u4e0d\u540c\u5757\u5927\u5c0f\u7684\u6a21\u578b\u4e0e\u91c7\u7528\u4e0d\u540c\u6570\u503c\u79ef\u5206\u5668\u7684 HNN \u7684\u6bd4\u8f83\u7ed3\u679c\u3002\u5de6\u56fe\u548c\u53f3\u56fe\u5206\u522b\u662f\u5355\u6446\u548c\u53cc\u6446\u7cfb\u7edf\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684 q \u9884\u6d4b\u503c\u7684\u5747\u65b9\u8bef\u5dee\uff08MSE\uff09\u3002\u4e2d\u95f4\u7684\u56fe\u663e\u793a\u4e86\u4e00\u4e2a\u793a\u4f8b\u8f68\u8ff9\u4e0a\u7684\u5e73\u5747\u603b\u80fd\u91cf\u8bef\u5dee\u548c\u603b\u80fd\u91cf\u7684\u6f14\u53d8\u3002\u5bf9\u4e8e DHN\uff0c\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u72b6\u6001\u4f18\u5316\u7531\u53bb\u566a\u673a\u5236\u5efa\u6a21\uff0c\u65e0\u9700\u53d8\u5206\u79ef\u5206\u5668\u3002\u5f53\u5757\u5927\u5c0f\u4e3a 2 \u65f6\uff0c\u672c\u6587\u7684\u6a21\u578b\u53ef\u4ee5\u7a33\u5b9a\u5730\u4fdd\u5b58\u603b\u80fd\u91cf\u3002\u589e\u52a0\u5757\u5927\u5c0f\u4f1a\u5728\u8f83\u957f\u7684\u65f6\u95f4\u8303\u56f4\u5185\u5f15\u8d77\u80fd\u91cf\u6ce2\u52a8\uff0c\u4f46\u8fd9\u79cd\u6ce2\u52a8\u5e76\u6ca1\u6709\u8868\u73b0\u51fa\u660e\u663e\u7684\u80fd\u91cf\u6f02\u79fb\u503e\u5411\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-d12d50c266997fb2e170e67b5a176885.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-d12d50c266997fb2e170e67b5a176885.png\"><\/a><\/p>\n<ul>\n<li>\n<section>\u4ee5\u65b0\u9896\u7684\u8f68\u8ff9\u5b8c\u6210<\/section>\n<\/li>\n<\/ul>\n<p>\u56fe 10 \u663e\u793a\u4e86\u4e0e HNN\uff08\u4e0a\u884c\uff09\u548c\u5404\u79cd\u65e0\u7269\u7406\u7ea6\u675f\u57fa\u7ebf\u6a21\u578b\uff08\u4e0b\u884c\uff09\u7684\u6bd4\u8f83\u7ed3\u679c\u3002\u672c\u6587\u7684 DHN \u91c7\u7528\u8f83\u5c0f\u7684\u5757\u5927\u5c0f\uff0c\u72b6\u6001\u9884\u6d4b\u66f4\u51c6\u786e\uff0c\u8282\u80fd\u6548\u679c\u66f4\u597d\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-e3e1245064dbdca5fac50f18dfc32f56.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-e3e1245064dbdca5fac50f18dfc32f56.png\"><\/a><\/p>\n<p><strong>\u8868\u5f81\u5b66\u4e60<\/strong><\/p>\n<p>\u56fe 11 \u5c55\u793a\u4e86\u4e0e HNN \u548c\u5e38\u89c4\u7f51\u7edc\u76f8\u6bd4\uff0cDHN \u5728\u4e0d\u540c\u5757\u5927\u5c0f\uff08s = b\/2\uff09\u4e0b\u7684\u7ebf\u6027\u63a2\u6d4b\u7ed3\u679c\u3002\u4e0e\u57fa\u7ebf\u7f51\u7edc\u76f8\u6bd4\uff0c\u672c\u6587\u7684\u6a21\u578b\u5b9e\u73b0\u4e86\u66f4\u4f4e\u7684 MSE\u3002\u5982\u56fe 4 \u6240\u793a\uff0cHNN \u53ef\u4ee5\u770b\u4f5c\u662f\u54c8\u5bc6\u987f\u5757\u7684\u7279\u4f8b\uff0c\u5176\u6838\u5927\u5c0f\u548c\u6b65\u957f\u5747\u4e3a 1\uff0c\u5177\u6709\u6700\u5f3a\u7684\u5c40\u90e8\u6027\u3002\u7814\u7a76\u8005\u5f15\u5165\u7684\u5757\u5927\u5c0f\u548c\u8de8\u5ea6\u5141\u8bb8\u6a21\u578b\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e0a\u89c2\u5bdf\u7cfb\u7edf\u3002\u5728\u8fd9\u4e2a\u53cc\u6446\u7cfb\u7edf\u4e2d\uff0c\u5757\u5927\u5c0f\u4e3a 4 \u662f\u63a8\u65ad\u5176\u53c2\u6570\u7684\u6700\u4f73\u65f6\u95f4\u5c3a\u5ea6\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-bd7c76893988b154f650680a31f6fc9d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-bd7c76893988b154f650680a31f6fc9d.png\"><\/a><\/p>\n<p>\u56fe 12 \u5c55\u793a\u4e86\u4e0d\u540c\u5757\u5927\u5c0f\u548c\u6b65\u957f\u7684 DHN \u7ed3\u679c\u3002\u5982\u56fe 12b \u6240\u793a\uff0c\u54c8\u5bc6\u987f\u5757\u7684\u8f93\u5165\u548c\u8f93\u51fa\u72b6\u6001\u6709\u4e00\u4e2a b-s \u65f6\u95f4\u6b65\u957f\u7684\u91cd\u53e0\u533a\u57df\u3002\u54c8\u5bc6\u987f\u5757\u7684\u5e7f\u4e49\u80fd\u91cf\u5b88\u6052\u4f9d\u8d56\u4e8e\u91cd\u53e0\u533a\u57df\u5177\u6709\u76f8\u540c\u7684\u8f93\u5165\u548c\u8f93\u51fa\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u8fd9\u4e00\u7ea6\u675f\u4f5c\u4e3a\u72b6\u6001\u9884\u6d4b\u635f\u5931\u7684\u4e00\u90e8\u5206\u5f3a\u52a0\u7ed9\u7f51\u7edc\u3002\u8f83\u5927\u7684\u91cd\u53e0\u4f1a\u5bf9\u7f51\u7edc\u65bd\u52a0\u66f4\u5f3a\u7684\u6b63\u5219\u5316\uff0c\u4f46\u4f1a\u9f13\u52b1\u7f51\u7edc\u6267\u884c\u66f4\u591a\u7684\u81ea\u4e00\u81f4\u6027\u7ea6\u675f\uff0c\u800c\u4e0d\u662f\u66f4\u591a\u7684\u72b6\u6001\u95f4\u5173\u7cfb\u3002\u76f8\u53cd\uff0c\u51cf\u5c11\u91cd\u53e0\u5ea6\u7684\u540c\u65f6\u589e\u52a0\u8de8\u5ea6\uff0c\u53ef\u4ee5\u9f13\u52b1\u6a21\u578b\u5438\u6536\u66f4\u591a\u65f6\u95f4\u4e0a\u8f83\u8fdc\u7684\u72b6\u6001\u4fe1\u606f\uff0c\u4f46\u4ee3\u4ef7\u662f\u524a\u5f31\u81ea\u6d3d\u6027\u7ea6\u675f\uff0c\u4ece\u800c\u5f71\u54cd\u7a33\u5b9a\u6027\u3002\u5728\u91cd\u53e0\u7b49\u4e8e\u5757\u5927\u5c0f b \u4e14\u8de8\u5ea6\u4e3a\u96f6\u7684\u6781\u7aef\u60c5\u51b5\u4e0b\uff0cDHN \u5757\u7684\u8f93\u5165\u548c\u8f93\u51fa\u5b8c\u5168\u76f8\u540c\uff0c\u8bad\u7ec3\u635f\u5931\u9000\u5316\u4e3a\u81ea\u76f8\u5e72\u7ea6\u675f\u3002HNN \u662f\u53e6\u4e00\u79cd\u91cd\u53e0\u4e3a\u96f6\u7684\u7279\u6b8a\u60c5\u51b5\uff08\u56e0\u4e3a\u5757\u5927\u5c0f\u4e3a 1\uff0c\u91cd\u53e0\u53ea\u80fd\u4e3a\u96f6\uff09\u3002\u5982 12b \u6240\u793a\uff0c\u5bf9\u4e8e\u7b80\u5355\u53cc\u5c42 transformer\uff0c\u6700\u4f73\u7684\u5757\u5927\u5c0f\u548c\u8de8\u5ea6\u7ea6\u4e3a s\u2248 b\/2\uff0c\u91cd\u53e0\u91cf\u9002\u4e2d\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-88941212e34749d8d756cc1602606857.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-88941212e34749d8d756cc1602606857.png\"><\/a><\/p>\n<p><strong>\u8f68\u8ff9\u63d2\u503c<\/strong><\/p>\n<p>\u7814\u7a76\u8005\u901a\u8fc7\u91cd\u590d\u5e94\u7528 2 \u500d\u8d85\u5206\u8fa8\u7387\u6765\u5b9e\u73b0 4 \u500d\u8d85\u5206\u8fa8\u7387\u3002\u5982\u56fe 13 \u5de6\u6240\u793a\uff0c\u4e3a\u6bcf\u4e2a\u9636\u6bb5\u6784\u5efa\u4e00\u4e2a b = 2\u3001s = 1 \u7684 DHN \u5757\u3002\u4e0d\u540c\u7a00\u758f\u5ea6\u7684\u8f68\u8ff9\u5757\u5982\u56fe 13 \u53f3\u6240\u793a\u3002\u63a9\u7801\u5e94\u7528\u4e8e\u4e2d\u95f4\u72b6\u6001\uff0c\u8fb9\u4e0a\u7684\u4e24\u4e2a\u72b6\u6001\u662f\u5df2\u77e5\u7684\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-13165557b152f7fb0929f62028ebca5f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/03\/frc-13165557b152f7fb0929f62028ebca5f.png\"><\/a><\/p>\n<p>\u5728\u6240\u6709\u4e09\u4e2a\u8d85\u5206\u8fa8\u7387\u9636\u6bb5\u4e2d\uff0c\u6bcf\u4e2a\u8f68\u8ff9\u90fd\u4e0e\u5171\u4eab\u7684\u5168\u5c40\u6f5c\u7801\u76f8\u5173\u8054\uff0c\u4ece\u800c\u4e3a\u8bad\u7ec3\u96c6\u5f62\u6210\u4e00\u4e2a\u7ed3\u6784\u5316\u4ee3\u7801\u96c6\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u7f51\u7edc\u6743\u91cd\u548c\u8fd9\u4e9b\u6f5c\u7801\u4f1a\u5728\u9010\u6b65\u7ec6\u5316\u9636\u6bb5\uff080\u30011\u30012\uff09\u4e2d\u5171\u540c\u4f18\u5316\u3002\u5728\u63a8\u7406\u65f6\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u4ec5\u5728\u6700\u7a00\u758f\u6c34\u5e73\uff08\u7b2c 0 \u9636\u6bb5\uff09\u5df2\u77e5\u72b6\u6001\u7684\u65b0\u8f68\u8ff9\uff0c\u7814\u7a76\u8005\u51bb\u7ed3\u4e86 DHN \u5757\u4e2d\u7684\u6240\u6709\u7f51\u7edc\u6743\u91cd\uff0c\u5e76\u4f18\u5316\u7b2c 0 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