{"id":177273,"date":"2025-12-06T13:33:54","date_gmt":"2025-12-06T13:33:54","guid":{"rendered":"https:\/\/ktromedia.com\/?p=177273"},"modified":"2025-12-06T13:33:54","modified_gmt":"2025-12-06T13:33:54","slug":"%e4%bb%a3%e5%b8%81%e4%b9%8b%e6%97%85%ef%bc%9a%e5%8f%98%e5%8e%8b%e5%99%a8%e5%86%85%e9%83%a8%e5%88%b0%e5%ba%95%e5%8f%91%e7%94%9f%e4%ba%86%e4%bb%80%e4%b9%88","status":"publish","type":"post","link":"https:\/\/ktromedia.com\/?p=177273","title":{"rendered":"\u4ee3\u5e01\u4e4b\u65c5\uff1a\u53d8\u538b\u5668\u5185\u90e8\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48"},"content":{"rendered":"<div id=\"\">\n<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u8f6c\u6362\u5668\u5982\u4f55\u5c06\u8f93\u5165\u6807\u8bb0\u8f6c\u6362\u4e3a\u4e0a\u4e0b\u6587\u611f\u77e5\u7684\u8868\u793a\u5f62\u5f0f\uff0c\u5e76\u6700\u7ec8\u8f6c\u6362\u4e3a\u4e0b\u4e00\u4e2a\u6807\u8bb0\u7684\u6982\u7387\u3002<\/p>\n<p>\u6211\u4eec\u5c06\u8ba8\u8bba\u7684\u4e3b\u9898\u5305\u62ec\uff1a<\/p>\n<ul>\n<li>\u6807\u8bb0\u5316\u3001\u5d4c\u5165\u548c\u4f4d\u7f6e\u4fe1\u606f\u5982\u4f55\u51c6\u5907\u8f93\u5165<\/li>\n<li>\u591a\u5934\u6ce8\u610f\u529b\u548c\u524d\u9988\u7f51\u7edc\u5728\u6bcf\u4e00\u5c42\u4e2d\u6709\u4f55\u8d21\u732e<\/li>\n<li>\u6700\u7ec8\u7684\u6295\u5f71\u548c softmax \u5982\u4f55\u4ea7\u751f\u4e0b\u4e00\u4e2a\u6807\u8bb0\u7684\u6982\u7387<\/li>\n<\/ul>\n<p>\u8ba9\u6211\u4eec\u5f00\u59cb\u6211\u4eec\u7684\u65c5\u7a0b\u5427\u3002<\/p>\n<div style=\"width: 810px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/ktromedia.com\/wp-content\/uploads\/2025\/12\/\u4ee3\u5e01\u4e4b\u65c5\uff1a\u53d8\u538b\u5668\u5185\u90e8\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48.jpg\" target=\"_blank\"><\/a><\/p>\n<p class=\"wp-caption-text\">\u4ee3\u5e01\u4e4b\u65c5\uff1a\u53d8\u538b\u5668\u5185\u90e8\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48\uff08<a href=\"https:\/\/ktromedia.com\/wp-content\/uploads\/2025\/12\/\u4ee3\u5e01\u4e4b\u65c5\uff1a\u53d8\u538b\u5668\u5185\u90e8\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48.jpg\" target=\"_blank\">\u70b9\u51fb\u653e\u5927<\/a>\uff09<br \/>\u56fe\u7247\u7531\u7f16\u8f91\u63d0\u4f9b<\/p>\n<\/div>\n<h2>\u65c5\u7a0b\u5f00\u59cb<\/h2>\n<p><strong>\u5927\u578b\u8bed\u8a00\u6a21\u578b<\/strong> \uff08LLM\uff09\u57fa\u4e8e Transformer \u67b6\u6784\uff0c\u8fd9\u662f\u4e00\u4e2a\u590d\u6742\u7684\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\uff0c\u5176\u8f93\u5165\u662f\u4e00\u7cfb\u5217\u4ee4\u724c\u5d4c\u5165\u3002\u7ecf\u8fc7\u4e00\u4e2a\u6df1\u5165\u7684\u8fc7\u7a0b\u2014\u2014\u770b\u8d77\u6765\u50cf\u662f\u4e00\u7cfb\u5217\u5806\u53e0\u7684\u6ce8\u610f\u529b\u548c\u524d\u9988\u53d8\u6362\u2014\u2014\u5b83\u8f93\u51fa\u4e00\u4e2a\u6982\u7387\u5206\u5e03\uff0c\u6307\u793a\u63a5\u4e0b\u6765\u5e94\u8be5\u751f\u6210\u54ea\u4e2a\u4ee4\u724c\u4f5c\u4e3a\u6a21\u578b\u54cd\u5e94\u7684\u4e00\u90e8\u5206\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u8f93\u5165\u5e8f\u5217\u4e2d\u7684\u5355\u4e2a\u6807\u8bb0\uff0c\u5982\u4f55\u89e3\u91ca\u4ece\u8f93\u5165\u5230\u8f93\u51fa\u7684\u6574\u4e2a\u8fc7\u7a0b\u5462\uff1f<\/p>\n<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3 Transformer \u6a21\u578b\uff08LLM \u80cc\u540e\u7684\u67b6\u6784\uff09\u5728\u4ee3\u5e01\u7ea7\u522b\u5185\u90e8\u53d1\u751f\u7684\u60c5\u51b5\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u5c06\u770b\u5230\u8f93\u5165\u6807\u8bb0\u6216\u8f93\u5165\u6587\u672c\u5e8f\u5217\u7684\u4e00\u90e8\u5206\u5982\u4f55\u53d8\u6210\u751f\u6210\u7684\u6587\u672c\u8f93\u51fa\uff0c\u4ee5\u53ca\u8f6c\u6362\u5668\u5185\u90e8\u53d1\u751f\u7684\u66f4\u6539\u548c\u8f6c\u6362\u80cc\u540e\u7684\u57fa\u672c\u539f\u7406\u3002<\/p>\n<p>\u901a\u8fc7\u53d8\u538b\u5668\u6a21\u578b\u5bf9\u8fd9\u4e00\u65c5\u7a0b\u7684\u63cf\u8ff0\u5c06\u4ee5\u4e0a\u56fe\u4e3a\u6307\u5bfc\uff0c\u8be5\u56fe\u663e\u793a\u4e86\u901a\u7528\u53d8\u538b\u5668\u67b6\u6784\u4ee5\u53ca\u4fe1\u606f\u5982\u4f55\u5728\u5176\u4e2d\u6d41\u52a8\u548c\u6f14\u53d8\u3002<\/p>\n<h2>\u8fdb\u5165\u8f6c\u6362\u5668\uff1a\u4ece\u539f\u59cb\u8f93\u5165\u6587\u672c\u5230\u8f93\u5165\u5d4c\u5165<\/h2>\n<p>\u5728\u8fdb\u5165\u8f6c\u6362\u5668\u6a21\u578b\u7684\u6df1\u5ea6\u4e4b\u524d\uff0c\u6587\u672c\u8f93\u5165\u5df2\u7ecf\u53d1\u751f\u4e86\u4e00\u4e9b\u8f6c\u6362\uff0c\u4e3b\u8981\u662f\u56e0\u6b64\u5b83\u4ee5\u8f6c\u6362\u5668\u5185\u90e8\u5c42\u5b8c\u5168\u53ef\u4ee5\u7406\u89e3\u7684\u5f62\u5f0f\u8868\u793a\u3002<\/p>\n<h3>\u4ee3\u5e01\u5316<\/h3>\n<p>\u5206\u8bcd\u5668\u662f\u4e00\u4e2a\u7b97\u6cd5\u7ec4\u4ef6\uff0c\u901a\u5e38\u4e0e\u6cd5\u5b66\u7855\u58eb\u7684\u53d8\u538b\u5668\u6a21\u578b\u5171\u751f\u3002\u5b83\u91c7\u7528\u539f\u59cb\u6587\u672c\u5e8f\u5217\uff08\u4f8b\u5982\u7528\u6237\u63d0\u793a\uff09\uff0c\u5e76\u5c06\u5176\u5206\u5272\u4e3a\u79bb\u6563\u7684\u6807\u8bb0\uff08\u901a\u5e38\u662f\u5b50\u5b57\u5355\u5143\u6216\u5b57\u8282\uff0c\u6709\u65f6\u662f\u6574\u4e2a\u5355\u8bcd\uff09\uff0c\u6e90\u8bed\u8a00\u4e2d\u7684\u6bcf\u4e2a\u6807\u8bb0\u90fd\u6620\u5c04\u5230\u4e00\u4e2a\u6807\u8bc6\u7b26 <em>\u6211<\/em>\u3002<\/p>\n<h3>\u4ee3\u5e01\u5d4c\u5165<\/h3>\n<p>\u6709\u4e00\u4e2a\u5b66\u4e60\u5d4c\u5165\u8868 <code>E<\/code> \u6709\u5f62\u72b6 <code>|V| \u00d7 d<\/code> \uff08\u8bcd\u6c47\u200b\u200b\u91cf\u5927\u5c0f\u6309\u5d4c\u5165\u7ef4\u5ea6\u8ba1\u7b97\uff09\u3002\u67e5\u627e\u957f\u5ea6\u5e8f\u5217\u7684\u6807\u8bc6\u7b26 <code>n<\/code> \u4ea7\u751f\u4e00\u4e2a\u5d4c\u5165\u77e9\u9635 <code>X<\/code> \u6709\u5f62\u72b6 <code>n \u00d7 d<\/code>\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6bcf\u4e2a\u4ee4\u724c\u6807\u8bc6\u7b26\u90fd\u6620\u5c04\u5230\u4e00\u4e2a <em>d<\/em>\u5f62\u6210\u4e00\u884c\u7684\u7ef4\u5d4c\u5165\u5411\u91cf <code>X<\/code>\u3002\u5982\u679c\u4e24\u4e2a\u5d4c\u5165\u5411\u91cf\u4e0e\u5177\u6709\u76f8\u4f3c\u542b\u4e49\u7684\u6807\u8bb0\uff08\u4f8b\u5982\u56fd\u738b\u548c\u7687\u5e1d\uff09\u76f8\u5173\u8054\uff0c\u5219\u5b83\u4eec\u5c06\u5f7c\u6b64\u76f8\u4f3c\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002\u91cd\u8981\u7684\u662f\uff0c\u5728\u8fd9\u4e2a\u9636\u6bb5\uff0c\u6bcf\u4e2a\u6807\u8bb0\u5d4c\u5165\u90fd\u643a\u5e26\u8be5\u5355\u4e2a\u6807\u8bb0\u7684\u8bed\u4e49\u548c\u8bcd\u6c47\u4fe1\u606f\uff0c\u800c\u4e0d\u5305\u542b\u6709\u5173\u5e8f\u5217\u5176\u4f59\u90e8\u5206\u7684\u4fe1\u606f\uff08\u81f3\u5c11\u73b0\u5728\u8fd8\u6ca1\u6709\uff09\u3002<\/p>\n<h3>\u4f4d\u7f6e\u7f16\u7801<\/h3>\n<p>\u5728\u5b8c\u5168\u8fdb\u5165\u53d8\u538b\u5668\u7684\u6838\u5fc3\u90e8\u5206\u4e4b\u524d\uff0c\u6709\u5fc5\u8981\u5728\u6bcf\u4e2a\u4ee4\u724c\u5d4c\u5165\u5411\u91cf\u5185\u6ce8\u5165\u2014\u2014\u5373\u5d4c\u5165\u77e9\u9635\u7684\u6bcf\u4e00\u884c\u5185 <code>X<\/code> \u2014 \u6709\u5173\u8be5\u6807\u8bb0\u5728\u5e8f\u5217\u4e2d\u7684\u4f4d\u7f6e\u7684\u4fe1\u606f\u3002\u8fd9\u4e5f\u79f0\u4e3a\u6ce8\u5165\u4f4d\u7f6e\u4fe1\u606f\uff0c\u901a\u5e38\u4f7f\u7528\u6b63\u5f26\u548c\u4f59\u5f26\u7b49\u4e09\u89d2\u51fd\u6570\u6765\u5b8c\u6210\uff0c\u5c3d\u7ba1\u4e5f\u6709\u57fa\u4e8e\u5b66\u4e60\u4f4d\u7f6e\u5d4c\u5165\u7684\u6280\u672f\u3002\u8fd1\u6b8b\u5dee\u5206\u91cf\u4e0e\u5148\u524d\u7684\u5d4c\u5165\u5411\u91cf\u76f8\u52a0 <code>e_t<\/code> \u4e0e token \u5173\u8054\uff0c\u5982\u4e0b\uff1a<\/p>\n<p>\\[<br \/>x_t^{(0)} = e_t + p_{\\text{pos}}<\/p>\n<p>\u548c <code>p_pos<\/p>\n<p>\u73b0\u5728\uff0c\u662f\u65f6\u5019\u8fdb\u5165\u53d8\u538b\u5668\u7684\u6df1\u5904\uff0c\u770b\u770b\u91cc\u9762\u53d1\u751f\u4e86\u4ec0\u4e48\uff01<\/p>\n<h2>\u53d8\u538b\u5668\u6df1\u5904\uff1a\u4ece\u8f93\u5165\u5d4c\u5165\u5230\u8f93\u51fa\u6982\u7387<\/h2>\n<p>\u8ba9\u6211\u4eec\u89e3\u91ca\u4e00\u4e0b\u6bcf\u4e2a\u201c\u4e30\u5bcc\u7684\u201d\u5355\u6807\u8bb0\u5d4c\u5165\u5411\u91cf\u5728\u901a\u8fc7\u4e00\u4e2a\u8f6c\u6362\u5668\u5c42\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\uff0c\u7136\u540e\u7f29\u5c0f\u4ee5\u63cf\u8ff0\u6574\u4e2a\u5c42\u5806\u6808\u4e2d\u53d1\u751f\u7684\u60c5\u51b5\u3002<\/p>\n<p>\u516c\u5f0f<\/p>\n<p>\\[<br \/>h_t^{(0)} = x_t^{(0)}<br \/>\\]<\/p>\n<p>\u7528\u4e8e\u8868\u793a\u7b2c 0 \u5c42\uff08\u7b2c\u4e00\u5c42\uff09\u7684 token \u8868\u793a\uff0c\u800c\u66f4\u4e00\u822c\u5730\u6211\u4eec\u5c06\u4f7f\u7528 <code>h<sub>t<\/sub><sup>(l)<\/sup><\/code> \u8868\u793a\u4ee4\u724c\u5728\u5c42\u7684\u5d4c\u5165\u8868\u793a <em>\u6211<\/em>\u3002<\/p>\n<h3>\u591a\u5934\u6ce8\u610f\u529b<\/h3>\n<p>\u53d8\u538b\u5668\u6bcf\u4e2a\u590d\u5236\u5c42\u5185\u7684\u7b2c\u4e00\u4e2a\u4e3b\u8981\u7ec4\u4ef6\u662f <strong>\u591a\u5934\u6ce8\u610f\u529b<\/strong>\u3002\u5f53\u6d89\u53ca\u5230\u8bc6\u522b\u5927\u91cf\u6709\u610f\u4e49\u7684\u4fe1\u606f\u5e76\u5c06\u5176\u5408\u5e76\u5230\u6bcf\u4e2a\u6807\u8bb0\u7684\u8868\u793a\u4e2d\u65f6\uff0c\u8fd9\u53ef\u4ee5\u8bf4\u662f\u6574\u4e2a\u67b6\u6784\u4e2d\u6700\u6709\u5f71\u54cd\u529b\u7684\u7ec4\u4ef6\uff0c\u8fd9\u4e9b\u4fe1\u606f\u6d89\u53ca\u5176\u5728\u6574\u4e2a\u5e8f\u5217\u4e2d\u7684\u4f5c\u7528\u4ee5\u53ca\u5b83\u4e0e\u6587\u672c\u4e2d\u5176\u4ed6\u6807\u8bb0\u7684\u5173\u7cfb\uff0c\u65e0\u8bba\u662f\u53e5\u6cd5\u3001\u8bed\u4e49\u8fd8\u662f\u4efb\u4f55\u5176\u4ed6\u7c7b\u578b\u7684\u8bed\u8a00\u5173\u7cfb\u3002\u8fd9\u79cd\u6240\u8c13\u7684\u6ce8\u610f\u529b\u673a\u5236\u4e2d\u7684\u591a\u4e2a\u5934\u5206\u522b\u4e13\u95e8\u7528\u4e8e\u540c\u65f6\u6355\u83b7\u4ee4\u724c\u53ca\u5176\u6240\u5c5e\u7684\u6574\u4e2a\u5e8f\u5217\u4e2d\u7684\u4e0d\u540c\u8bed\u8a00\u65b9\u9762\u548c\u6a21\u5f0f\u3002<\/p>\n<p>\u5177\u6709\u4ee4\u724c\u8868\u793a\u7684\u7ed3\u679c <code>h<sub>t<\/sub><sup>(l)<\/sup><\/code> \uff08\u6ce8\u5165\u4f4d\u7f6e\u4fe1\u606f <em>\u5148\u9a8c<\/em>\uff0c\u4e0d\u8981\u5fd8\u8bb0\uff01\uff09\u5728\u5c42\u5185\u7a7f\u8fc7\u8fd9\u79cd\u591a\u5934\u6ce8\u610f\u529b\u662f\u4e0a\u4e0b\u6587\u4e30\u5bcc\u6216\u4e0a\u4e0b\u6587\u611f\u77e5\u7684\u4ee4\u724c\u8868\u793a\u3002\u901a\u8fc7\u5728\u53d8\u538b\u5668\u5c42\u4e0a\u4f7f\u7528\u6b8b\u5dee\u8fde\u63a5\u548c\u5c42\u5f52\u4e00\u5316\uff0c\u65b0\u751f\u6210\u7684\u5411\u91cf\u6210\u4e3a\u5176\u5148\u524d\u8868\u793a\u548c\u591a\u5934\u6ce8\u610f\u529b\u8f93\u51fa\u7684\u7a33\u5b9a\u6df7\u5408\u3002\u8fd9\u6709\u52a9\u4e8e\u63d0\u9ad8\u8de8\u5c42\u91cd\u590d\u5e94\u7528\u7684\u6574\u4e2a\u8fc7\u7a0b\u7684\u4e00\u81f4\u6027\u3002<\/p>\n<h3>\u524d\u9988\u795e\u7ecf\u7f51\u7edc<\/h3>\n<p>\u63a5\u4e0b\u6765\u662f\u76f8\u5bf9\u4e0d\u592a\u590d\u6742\u7684\u4e8b\u60c5\uff1a\u4e00\u4e9b <strong>\u524d\u9988\u795e\u7ecf\u7f51\u7edc<\/strong> \uff08FFN\uff09\u5c42\u3002\u4f8b\u5982\uff0c\u8fd9\u4e9b\u53ef\u4ee5\u662f\u6bcf\u4e2a\u4ee4\u724c\u7684\u591a\u5c42\u611f\u77e5\u5668\uff08MLP\uff09\uff0c\u5176\u76ee\u6807\u662f\u8fdb\u4e00\u6b65\u8f6c\u6362\u548c\u7ec6\u5316\u9010\u6e10\u5b66\u4e60\u7684\u4ee4\u724c\u7279\u5f81\u3002<\/p>\n<p>\u6ce8\u610f\u529b\u9636\u6bb5\u4e0e\u8fd9\u4e00\u9636\u6bb5\u7684\u4e3b\u8981\u533a\u522b\u5728\u4e8e\uff0c\u6ce8\u610f\u529b\u5728\u6bcf\u4e2a token \u8868\u793a\u4e2d\u6df7\u5408\u5e76\u5408\u5e76\u4e86\u6765\u81ea\u6240\u6709 token \u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\uff0c\u4f46 FFN \u6b65\u9aa4\u72ec\u7acb\u5e94\u7528\u4e8e\u6bcf\u4e2a token\uff0c\u7cbe\u70bc\u5df2\u7ecf\u96c6\u6210\u7684\u4e0a\u4e0b\u6587\u6a21\u5f0f\uff0c\u4ee5\u4ece\u4e2d\u4ea7\u751f\u6709\u7528\u7684\u201c\u77e5\u8bc6\u201d\u3002\u8fd9\u4e9b\u5c42\u8fd8\u8865\u5145\u6709\u6b8b\u5dee\u8fde\u63a5\u548c\u5c42\u5f52\u4e00\u5316\uff0c\u5e76\u4e14\u4f5c\u4e3a\u6b64\u8fc7\u7a0b\u7684\u7ed3\u679c\uff0c\u6211\u4eec\u5728\u53d8\u538b\u5668\u5c42\u7684\u672b\u5c3e\u6709\u4e00\u4e2a\u66f4\u65b0\u7684\u8868\u793a <code>h<sub>t<\/sub><sup>(l+1)<\/sup><\/code> \u5b83\u5c06\u6210\u4e3a\u4e0b\u4e00\u4e2a\u53d8\u538b\u5668\u5c42\u7684\u8f93\u5165\uff0c\u4ece\u800c\u8fdb\u5165\u53e6\u4e00\u4e2a\u591a\u5934\u6ce8\u610f\u529b\u5757\u3002<\/p>\n<p>\u6574\u4e2a\u8fc7\u7a0b\u91cd\u590d\u7684\u6b21\u6570\u4e0e\u6211\u4eec\u67b6\u6784\u4e2d\u5b9a\u4e49\u7684\u5806\u53e0\u5c42\u7684\u6570\u91cf\u4e00\u6837\u591a\uff0c\u4ece\u800c\u9010\u6e10\u4e30\u5bcc\u4e86\u4ee4\u724c\u5d4c\u5165\uff0c\u5728\u8fd9\u4e9b\u770b\u4f3c\u96be\u4ee5\u7406\u89e3\u7684\u6570\u5b57\u80cc\u540e\u5305\u542b\u4e86\u8d8a\u6765\u8d8a\u591a\u7684\u9ad8\u7ea7\u3001\u62bd\u8c61\u548c\u8fdc\u7a0b\u8bed\u8a00\u4fe1\u606f\u3002<\/p>\n<h3>\u6700\u7ec8\u76ee\u7684\u5730<\/h3>\n<p>\u90a3\u4e48\uff0c\u6700\u540e\u4f1a\u53d1\u751f\u4ec0\u4e48\u5462\uff1f\u5728\u5806\u6808\u7684\u9876\u90e8\uff0c\u7ecf\u8fc7\u6700\u540e\u4e00\u4e2a\u590d\u5236\u7684\u8f6c\u6362\u5668\u5c42\u4e4b\u540e\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u6700\u7ec8\u7684\u4ee4\u724c\u8868\u793a <code>h<sub>t*<\/sub><sup>(L)<\/sup><\/code> \uff08\u5728\u54ea\u91cc <code>t*<\/code> \u8868\u793a\u5f53\u524d\u9884\u6d4b\u4f4d\u7f6e\uff09\uff0c\u901a\u8fc7 <strong>\u7ebf\u6027\u8f93\u51fa\u5c42<\/strong> \u968f\u540e\u662f\u4e00\u4e2a <strong>\u8f6f\u6700\u5927<\/strong>\u3002<\/p>\n<p>\u7ebf\u6027\u5c42\u4ea7\u751f\u975e\u6807\u51c6\u5316\u5206\u6570\uff0c\u79f0\u4e3a <em>\u903b\u8f91\u6570<\/em>\uff0csoftmax \u5c06\u8fd9\u4e9b logits \u8f6c\u6362\u4e3a\u4e0b\u4e00\u4e2a\u6807\u8bb0\u7684\u6982\u7387\u3002<\/p>\n<p>Logits \u8ba1\u7b97\uff1a<\/p>\n<p>\\[<br \/>\\text{logits}_j = W_{\\text{vocab}, j} \\cdot h_{t^*}^{(L)} + b_j<br \/>\\]<\/p>\n<p>\u5e94\u7528 softmax \u8ba1\u7b97\u5f52\u4e00\u5316\u6982\u7387\uff1a<\/p>\n<p>\\[<br \/>\\text{softmax}(\\text{logits})_j = \\frac{\\exp(\\text{logits}_j)}{\\sum_{k} \\exp(\\text{logits}_k)}<br \/>\\]<\/p>\n<p>\u4f7f\u7528 softmax \u8f93\u51fa\u4f5c\u4e3a\u4e0b\u4e00\u4e2a\u6807\u8bb0\u6982\u7387\uff1a<\/p>\n<p>\\[<br \/>P(\\text{token} = j) = \\text{softmax}(\\text{logits})_j<br \/>\\]<\/p>\n<p>\u8fd9\u4e9b\u6982\u7387\u662f\u9488\u5bf9\u8bcd\u6c47\u8868\u4e2d\u6240\u6709\u53ef\u80fd\u7684\u6807\u8bb0\u8ba1\u7b97\u7684\u3002\u7136\u540e\u9009\u62e9\u7531 LLM \u751f\u6210\u7684\u4e0b\u4e00\u4e2a\u6807\u8bb0\u2014\u2014\u901a\u5e38\u662f\u6982\u7387\u6700\u9ad8\u7684\u6807\u8bb0\uff0c\u5c3d\u7ba1\u57fa\u4e8e\u91c7\u6837\u7684\u89e3\u7801\u7b56\u7565\u4e5f\u5f88\u5e38\u89c1\u3002<\/p>\n<h2>\u65c5\u7a0b\u7684\u7ec8\u70b9<\/h2>\n<p>\u672c\u6587\u901a\u8fc7 Transformer \u67b6\u6784\uff0c\u4ee5\u6e29\u548c\u7684\u6280\u672f\u7ec6\u8282\u8fdb\u884c\u4e86\u4e00\u6b21\u65c5\u7a0b\uff0c\u4ee5\u5927\u81f4\u4e86\u89e3\u63d0\u4f9b\u7ed9 LLM\uff08\u57fa\u4e8e Transformer \u67b6\u6784\u7684\u6700\u8457\u540d\u6a21\u578b\uff09\u7684\u6587\u672c\u4f1a\u53d1\u751f\u4ec0\u4e48\u60c5\u51b5\uff0c\u4ee5\u53ca\u8be5\u6587\u672c\u5982\u4f55\u5728\u6a21\u578b\u5185\u90e8\u5728\u4ee4\u724c\u7ea7\u522b\u8fdb\u884c\u5904\u7406\u548c\u8f6c\u6362\uff0c\u6700\u7ec8\u53d8\u6210\u6a21\u578b\u7684\u8f93\u51fa\uff1a\u8981\u751f\u6210\u7684\u4e0b\u4e00\u4e2a\u5355\u8bcd\u3002<\/p>\n<p>\u6211\u4eec\u5e0c\u671b\u60a8\u4eab\u53d7\u6211\u4eec\u4e00\u8d77\u7684\u65c5\u884c\uff0c\u5e76\u671f\u5f85\u5728\u4e0d\u4e45\u7684\u5c06\u6765\u6709\u673a\u4f1a\u8e0f\u4e0a\u53e6\u4e00\u6b21\u65c5\u884c\u3002<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u8f6c\u6362\u5668\u5982\u4f55\u5c06\u8f93\u5165\u6807\u8bb0\u8f6c\u6362\u4e3a\u4e0a\u4e0b\u6587\u611f\u77e5\u7684\u8868\u793a\u5f62\u5f0f\uff0c\u5e76\u6700\u7ec8\u8f6c\u6362\u4e3a\u4e0b\u4e00\u4e2a\u6807\u8bb0\u7684\u6982\u7387\u3002 \u6211\u4eec\u5c06\u8ba8\u8bba\u7684\u4e3b\u9898\u5305\u62ec\uff1a \u6807\u8bb0\u5316\u3001\u5d4c\u5165\u548c\u4f4d\u7f6e\u4fe1\u606f\u5982\u4f55\u51c6\u5907\u8f93\u5165 \u591a\u5934\u6ce8\u610f\u529b\u548c\u524d\u9988\u7f51\u7edc\u5728\u6bcf\u4e00\u5c42\u4e2d\u6709\u4f55\u8d21\u732e \u6700\u7ec8\u7684\u6295\u5f71\u548c softmax \u5982\u4f55\u4ea7\u751f\u4e0b\u4e00\u4e2a\u6807\u8bb0\u7684\u6982\u7387 \u8ba9\u6211\u4eec\u5f00\u59cb\u6211\u4eec\u7684\u65c5\u7a0b\u5427\u3002 \u4ee3\u5e01\u4e4b\u65c5\uff1a\u53d8\u538b\u5668\u5185\u90e8\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48\uff08\u70b9\u51fb\u653e\u5927\uff09\u56fe\u7247\u7531\u7f16\u8f91\u63d0\u4f9b \u65c5\u7a0b\u5f00\u59cb \u5927\u578b\u8bed\u8a00\u6a21\u578b \uff08LLM\uff09\u57fa\u4e8e Transformer \u67b6\u6784\uff0c\u8fd9\u662f\u4e00\u4e2a\u590d\u6742\u7684\u6df1\u5ea6\u795e\u7ecf\u7f51\u7edc\uff0c\u5176\u8f93\u5165\u662f\u4e00\u7cfb\u5217\u4ee4\u724c\u5d4c\u5165\u3002\u7ecf\u8fc7\u4e00\u4e2a\u6df1\u5165\u7684\u8fc7\u7a0b\u2014\u2014\u770b\u8d77\u6765\u50cf\u662f\u4e00\u7cfb\u5217\u5806\u53e0\u7684\u6ce8\u610f\u529b\u548c\u524d\u9988\u53d8\u6362\u2014\u2014\u5b83\u8f93\u51fa\u4e00\u4e2a\u6982\u7387\u5206\u5e03\uff0c\u6307\u793a\u63a5\u4e0b\u6765\u5e94\u8be5\u751f\u6210\u54ea\u4e2a\u4ee4\u724c\u4f5c\u4e3a\u6a21\u578b\u54cd\u5e94\u7684\u4e00\u90e8\u5206\u3002\u4f46\u662f\uff0c\u5bf9\u4e8e\u8f93\u5165\u5e8f\u5217\u4e2d\u7684\u5355\u4e2a\u6807\u8bb0\uff0c\u5982\u4f55\u89e3\u91ca\u4ece\u8f93\u5165\u5230\u8f93\u51fa\u7684\u6574\u4e2a\u8fc7\u7a0b\u5462\uff1f \u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3 Transformer \u6a21\u578b\uff08LLM \u80cc\u540e\u7684\u67b6\u6784\uff09\u5728\u4ee3\u5e01\u7ea7\u522b\u5185\u90e8\u53d1\u751f\u7684\u60c5\u51b5\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u5c06\u770b\u5230\u8f93\u5165\u6807\u8bb0\u6216\u8f93\u5165\u6587\u672c\u5e8f\u5217\u7684\u4e00\u90e8\u5206\u5982\u4f55\u53d8\u6210\u751f\u6210\u7684\u6587\u672c\u8f93\u51fa\uff0c\u4ee5\u53ca\u8f6c\u6362\u5668\u5185\u90e8\u53d1\u751f\u7684\u66f4\u6539\u548c\u8f6c\u6362\u80cc\u540e\u7684\u57fa\u672c\u539f\u7406\u3002 \u901a\u8fc7\u53d8\u538b\u5668\u6a21\u578b\u5bf9\u8fd9\u4e00\u65c5\u7a0b\u7684\u63cf\u8ff0\u5c06\u4ee5\u4e0a\u56fe\u4e3a\u6307\u5bfc\uff0c\u8be5\u56fe\u663e\u793a\u4e86\u901a\u7528\u53d8\u538b\u5668\u67b6\u6784\u4ee5\u53ca\u4fe1\u606f\u5982\u4f55\u5728\u5176\u4e2d\u6d41\u52a8\u548c\u6f14\u53d8\u3002 \u8fdb\u5165\u8f6c\u6362\u5668\uff1a\u4ece\u539f\u59cb\u8f93\u5165\u6587\u672c\u5230\u8f93\u5165\u5d4c\u5165 \u5728\u8fdb\u5165\u8f6c\u6362\u5668\u6a21\u578b\u7684\u6df1\u5ea6\u4e4b\u524d\uff0c\u6587\u672c\u8f93\u5165\u5df2\u7ecf\u53d1\u751f\u4e86\u4e00\u4e9b\u8f6c\u6362\uff0c\u4e3b\u8981\u662f\u56e0\u6b64\u5b83\u4ee5\u8f6c\u6362\u5668\u5185\u90e8\u5c42\u5b8c\u5168\u53ef\u4ee5\u7406\u89e3\u7684\u5f62\u5f0f\u8868\u793a\u3002 \u4ee3\u5e01\u5316 \u5206\u8bcd\u5668\u662f\u4e00\u4e2a\u7b97\u6cd5\u7ec4\u4ef6\uff0c\u901a\u5e38\u4e0e\u6cd5\u5b66\u7855\u58eb\u7684\u53d8\u538b\u5668\u6a21\u578b\u5171\u751f\u3002\u5b83\u91c7\u7528\u539f\u59cb\u6587\u672c\u5e8f\u5217\uff08\u4f8b\u5982\u7528\u6237\u63d0\u793a\uff09\uff0c\u5e76\u5c06\u5176\u5206\u5272\u4e3a\u79bb\u6563\u7684\u6807\u8bb0\uff08\u901a\u5e38\u662f\u5b50\u5b57\u5355\u5143\u6216\u5b57\u8282\uff0c\u6709\u65f6\u662f\u6574\u4e2a\u5355\u8bcd\uff09\uff0c\u6e90\u8bed\u8a00\u4e2d\u7684\u6bcf\u4e2a\u6807\u8bb0\u90fd\u6620\u5c04\u5230\u4e00\u4e2a\u6807\u8bc6\u7b26 \u6211\u3002 \u4ee3\u5e01\u5d4c\u5165 \u6709\u4e00\u4e2a\u5b66\u4e60\u5d4c\u5165\u8868 E \u6709\u5f62\u72b6 |V| \u00d7 d \uff08\u8bcd\u6c47\u200b\u200b\u91cf\u5927\u5c0f\u6309\u5d4c\u5165\u7ef4\u5ea6\u8ba1\u7b97\uff09\u3002\u67e5\u627e\u957f\u5ea6\u5e8f\u5217\u7684\u6807\u8bc6\u7b26 n \u4ea7\u751f\u4e00\u4e2a\u5d4c\u5165\u77e9\u9635 X \u6709\u5f62\u72b6 n \u00d7 d\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6bcf\u4e2a\u4ee4\u724c\u6807\u8bc6\u7b26\u90fd\u6620\u5c04\u5230\u4e00\u4e2a d\u5f62\u6210\u4e00\u884c\u7684\u7ef4\u5d4c\u5165\u5411\u91cf 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