{"id":6187,"date":"2024-09-20T05:42:37","date_gmt":"2024-09-19T21:42:37","guid":{"rendered":"https:\/\/www.aisharenet.com\/?p=6187"},"modified":"2024-11-14T02:10:55","modified_gmt":"2024-11-13T18:10:55","slug":"mamba","status":"publish","type":"post","link":"https:\/\/www.kdjingpai.com\/ja\/mamba\/","title":{"rendered":"\u56de\u987eTransformer\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u66ff\u4ee3\u65b9\u6848Mamba\u539f\u7406\uff08\u56fe\u89e3\uff09"},"content":{"rendered":"<h3 dir=\"auto\">\u4e00\u79cd\u8bed\u8a00\u5efa\u6a21\u4e2d Transformer \u7684\u66ff\u4ee3\u65b9\u6848<\/h3>\n<p dir=\"auto\"><a href=\"https:\/\/www.kdjingpai.com\/ja\/transformer\/\">Transformer<\/a> \u67b6\u6784\u662f\u5927\u8bed\u8a00\u6a21\u578b\uff08LLMs\uff09\u6210\u529f\u7684\u5173\u952e\u7ec4\u6210\u90e8\u5206\u3002\u51e0\u4e4e\u6240\u6709\u4eca\u5929\u4f7f\u7528\u7684\u5927\u8bed\u8a00\u6a21\u578b\u90fd\u91c7\u7528\u4e86\u8be5\u67b6\u6784\uff0c\u4ece\u5f00\u6e90\u6a21\u578b\u5982 <a href=\"https:\/\/www.kdjingpai.com\/ja\/le-chat-mistral\/\">Mistral<\/a> \u5230\u95ed\u6e90\u6a21\u578b\u5982 ChatGPT\u3002<\/p>\n<p dir=\"auto\">\u4e3a\u4e86\u8fdb\u4e00\u6b65\u6539\u8fdb\u5927\u8bed\u8a00\u6a21\u578b\uff0c\u65b0\u7684\u67b6\u6784\u88ab\u5f00\u53d1\u51fa\u6765\uff0c\u8fd9\u4e9b\u67b6\u6784\u53ef\u80fd\u751a\u81f3\u4f1a\u8d85\u8d8a Transformer \u67b6\u6784\u3002\u5176\u4e2d\u4e00\u79cd\u65b9\u6cd5\u662f\u00a0<em>Mamba<\/em>\uff0c\u4e00\u79cd\u00a0<em>\u72b6\u6001\u7a7a\u95f4\u6a21\u578b<\/em>\u3002<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/aaf0649def447b2.png\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> Mamba \u5728\u8bba\u6587\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2312.00752\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/arxiv.org\/abs\/2312.00752\">Mamba: Linear-Time Sequence Modeling with Selective State Spaces<\/a><a href=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-1-141228095\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-1-141228095\">1<\/a>\u00a0\u4e2d\u88ab\u63d0\u51fa\u3002\u4f60\u53ef\u4ee5\u5728\u5176\u00a0<a href=\"https:\/\/github.com\/state-spaces\/mamba\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/github.com\/state-spaces\/mamba\">\u4ed3\u5e93<\/a>\u00a0\u4e2d\u627e\u5230\u5176\u5b98\u65b9\u5b9e\u73b0\u548c\u6a21\u578b\u68c0\u67e5\u70b9\u3002<\/p>\n<p dir=\"auto\">\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u5c06\u4ecb\u7ecd\u5728\u8bed\u8a00\u5efa\u6a21\u80cc\u666f\u4e0b\u7684\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u9886\u57df\uff0c\u5e76\u9010\u6b65\u63a2\u7d22\u5404\u4e2a\u6982\u5ff5\uff0c\u4ee5\u5e2e\u52a9\u7406\u89e3\u8fd9\u4e00\u9886\u57df\u3002\u7136\u540e\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba Mamba \u5982\u4f55\u53ef\u80fd\u6311\u6218 Transformer \u67b6\u6784\u3002<\/p>\n<p dir=\"auto\">\u4f5c\u4e3a\u4e00\u4e2a\u89c6\u89c9\u6307\u5357\uff0c\u672c\u6587\u5c06\u901a\u8fc7\u8bb8\u591a\u53ef\u89c6\u5316\u5185\u5bb9\u6765\u5e2e\u52a9\u7406\u89e3 Mamba \u548c\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff01<\/p>\n<h2 dir=\"auto\">\u7b2c 1 \u90e8\u5206\uff1a<strong>Transformers \u7684\u95ee\u9898<\/strong><\/h2>\n<p dir=\"auto\">\u4e3a\u4e86\u8bf4\u660e Mamba \u662f\u591a\u4e48\u6709\u8da3\u7684\u67b6\u6784\uff0c\u6211\u4eec\u9996\u5148\u7b80\u8981\u56de\u987e\u4e00\u4e0b Transformers\uff0c\u5e76\u63a2\u7d22\u5176\u4e00\u4e2a\u7f3a\u70b9\u3002<\/p>\n<p dir=\"auto\">Transformer \u5c06\u4efb\u4f55\u6587\u672c\u8f93\u5165\u89c6\u4e3a\u7531\u00a0<em><a href=\"https:\/\/www.kdjingpai.com\/ja\/tokenization\/\">tokens<\/a><\/em>\u00a0\u7ec4\u6210\u7684\u00a0<em>sequence<\/em>\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/eaf0b22a3c9d052.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> Transformers \u7684\u4e00\u4e2a\u4e3b\u8981\u4f18\u70b9\u662f\uff0c\u65e0\u8bba\u5b83\u63a5\u6536\u5230\u4ec0\u4e48\u8f93\u5165\uff0c\u5b83\u90fd\u53ef\u4ee5\u56de\u6eaf\u5230\u5e8f\u5217\u4e2d\u4efb\u4f55\u65e9\u671f\u7684 tokens \u6765\u63a8\u5bfc\u5176\u8868\u793a\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2 dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/36e674018db7a93.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/><\/h2>\n<p>&nbsp;<\/p>\n<h3 dir=\"auto\">Transformers \u7684\u6838\u5fc3\u7ec4\u4ef6<\/h3>\n<p dir=\"auto\">\u8bb0\u4f4f\uff0cTransformer \u7531\u4e24\u4e2a\u7ed3\u6784\u7ec4\u6210\uff0c\u4e00\u4e2a\u7528\u4e8e\u8868\u793a\u6587\u672c\u7684\u7f16\u7801\u5668\u5757\u96c6\u548c\u4e00\u4e2a\u7528\u4e8e\u751f\u6210\u6587\u672c\u7684\u89e3\u7801\u5668\u5757\u96c6\u3002\u7ed3\u5408\u8d77\u6765\uff0c\u8fd9\u4e9b\u7ed3\u6784\u53ef\u7528\u4e8e\u591a\u4e2a\u4efb\u52a1\uff0c\u5305\u62ec\u7ffb\u8bd1\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/1fc52482df6b9cb.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6211\u4eec\u53ef\u4ee5\u91c7\u7528\u8fd9\u79cd\u7ed3\u6784\uff0c\u901a\u8fc7\u4ec5\u4f7f\u7528\u89e3\u7801\u5668\u6765\u521b\u5efa\u751f\u6210\u6a21\u578b\u3002\u8fd9\u4e2a\u57fa\u4e8e Transformer \u7684\u6a21\u578b\uff0c<em>\u751f\u6210\u5f0f\u9884\u8bad\u7ec3 Transformer<\/em>\uff08GPT\uff09\uff0c\u4f7f\u7528\u89e3\u7801\u5668\u5757\u6765\u5b8c\u6210\u4e00\u4e9b\u8f93\u5165\u6587\u672c\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/da05a27521dc119.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8ba9\u6211\u4eec\u770b\u770b\u8fd9\u662f\u5982\u4f55\u5de5\u4f5c\u7684\uff01<\/p>\n<h3 dir=\"auto\">\u8bad\u7ec3\u4e2d\u7684\u795d\u798f&#8230;<\/h3>\n<p dir=\"auto\">\u5355\u4e2a\u89e3\u7801\u5668\u5757\u7531\u4e24\u4e2a\u4e3b\u8981\u7ec4\u4ef6\u7ec4\u6210\uff0c\u906e\u853d\u7684\u81ea\u6ce8\u610f\u529b\u673a\u5236\u548c\u524d\u9988\u795e\u7ecf\u7f51\u7edc\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/850b3d7d61dc3eb.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u81ea\u6ce8\u610f\u529b\u673a\u5236\u662f\u8fd9\u4e9b\u6a21\u578b\u5de5\u4f5c\u5f97\u5982\u6b64\u51fa\u8272\u7684\u4e00\u4e2a\u91cd\u8981\u539f\u56e0\u3002\u5b83\u4f7f\u6574\u4e2a\u5e8f\u5217\u7684\u672a\u538b\u7f29\u89c6\u56fe\u5f97\u4ee5\u5b9e\u73b0\uff0c\u5e76\u4e14\u8bad\u7ec3\u901f\u5ea6\u5feb\u3002<\/p>\n<p dir=\"auto\">\u90a3\u4e48\u5b83\u662f\u5982\u4f55\u5de5\u4f5c\u7684\u5462\uff1f<\/p>\n<p dir=\"auto\">\u5b83\u521b\u5efa\u4e86\u4e00\u4e2a\u77e9\u9635\uff0c\u5c06\u6bcf\u4e2a <a href=\"https:\/\/www.kdjingpai.com\/ja\/tokenization\/\">Token<\/a> \u4e0e\u4e4b\u524d\u7684\u6bcf\u4e2a Token \u8fdb\u884c\u6bd4\u8f83\u3002\u77e9\u9635\u4e2d\u7684\u6743\u91cd\u53d6\u51b3\u4e8e Token \u5bf9\u5f7c\u6b64\u7684\u76f8\u5173\u6027\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/a22185c1f747942.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u8fd9\u4e2a\u77e9\u9635\u4e00\u6b21\u6027\u521b\u5efa\u3002\u201c<em>My<\/em>\u201d\u548c\u201c<em>name<\/em>\u201d\u4e4b\u95f4\u7684\u6ce8\u610f\u529b\u4e0d\u9700\u8981\u5148\u8ba1\u7b97\uff0c\u624d\u80fd\u8ba1\u7b97\u201c<em>name<\/em>\u201d\u548c\u201c<em>is<\/em>\u201d\u4e4b\u95f4\u7684\u6ce8\u610f\u529b\u3002<\/p>\n<p dir=\"auto\">\u5b83\u5b9e\u73b0\u4e86<strong>\u5e76\u884c\u5316<\/strong>\uff0c\u8fd9\u6781\u5927\u5730\u52a0\u5feb\u4e86\u8bad\u7ec3\u901f\u5ea6\uff01<\/p>\n<h3 dir=\"auto\">\u63a8\u7406\u4e2d\u7684\u95ee\u9898\uff01<\/h3>\n<p dir=\"auto\">\u7136\u800c\u5b58\u5728\u4e00\u4e2a\u7f3a\u9677\u3002\u5f53\u751f\u6210\u4e0b\u4e00\u4e2a Token \u65f6\uff0c\u6211\u4eec\u9700\u8981\u91cd\u65b0\u8ba1\u7b97<em>\u6574\u4e2a\u5e8f\u5217<\/em>\u7684\u6ce8\u610f\u529b\uff0c\u5373\u4f7f\u6211\u4eec\u5df2\u7ecf\u751f\u6210\u4e86\u4e00\u4e9b Token\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/383bc57bbd19a24.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u751f\u6210\u957f\u5ea6\u4e3a<em>L<\/em>\u7684\u5e8f\u5217\u9700\u8981\u5927\u7ea6<em>L\u00b2<\/em>\u6b21\u8ba1\u7b97\uff0c\u5982\u679c\u5e8f\u5217\u957f\u5ea6\u589e\u52a0\uff0c\u8ba1\u7b97\u4ee3\u4ef7\u4f1a\u5f88\u9ad8\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/18fd18f686f6337.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u79cd\u9700\u8981\u91cd\u65b0\u8ba1\u7b97\u6574\u4e2a\u5e8f\u5217\u7684\u60c5\u51b5\u662f Transformer \u67b6\u6784\u7684\u4e3b\u8981\u74f6\u9888\u4e4b\u4e00\u3002<\/p>\n<p dir=\"auto\">\u8ba9\u6211\u4eec\u770b\u770b\u4e00\u79cd\u201c\u7ecf\u5178\u201d\u6280\u672f\u2014\u2014\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08Recurrent Neural Networks, RNN\uff09\u662f\u5982\u4f55\u89e3\u51b3\u8fd9\u4e2a\u63a8\u7406\u901f\u5ea6\u6162\u7684\u95ee\u9898\u3002<\/p>\n<h3 dir=\"auto\">RNN \u662f\u89e3\u51b3\u65b9\u6848\u5417\uff1f<\/h3>\n<p dir=\"auto\">\u5faa\u73af\u795e\u7ecf\u7f51\u7edc\uff08RNN\uff09\u662f\u4e00\u79cd\u57fa\u4e8e\u5e8f\u5217\u7684\u7f51\u7edc\u3002\u5b83\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\u4e2d\u63a5\u6536\u4e24\u4e2a\u8f93\u5165\uff0c\u5373\u65f6\u95f4\u6b65<em><strong>t<\/strong><\/em>\u7684\u8f93\u5165\u548c\u4e0a\u4e00\u4e2a\u65f6\u95f4\u6b65<em><strong>t-1<\/strong><\/em>\u7684\u9690\u85cf\u72b6\u6001\uff0c\u7528\u4ee5\u751f\u6210\u4e0b\u4e00\u4e2a\u9690\u85cf\u72b6\u6001\u5e76\u9884\u6d4b\u8f93\u51fa\u3002<\/p>\n<p dir=\"auto\">RNN \u6709\u4e00\u4e2a\u5faa\u73af\u673a\u5236\uff0c\u5141\u8bb8\u5b83\u5c06\u4fe1\u606f\u4ece\u524d\u4e00\u6b65\u4f20\u9012\u5230\u4e0b\u4e00\u6b65\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u53ef\u89c6\u5316\u8fc7\u7a0b\u201c\u5c55\u5f00\u201d\uff0c\u4f7f\u5176\u66f4\u52a0\u660e\u786e\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/a33850ae9084cf5.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u751f\u6210\u8f93\u51fa\u65f6\uff0cRNN \u53ea\u9700\u8981\u8003\u8651\u524d\u4e00\u4e2a\u9690\u85cf\u72b6\u6001\u548c\u5f53\u524d\u8f93\u5165\u3002\u5b83\u907f\u514d\u4e86 Transformer \u6240\u9700\u7684\u91cd\u65b0\u8ba1\u7b97\u6240\u6709\u4e4b\u524d\u9690\u85cf\u72b6\u6001\u7684\u95ee\u9898\u3002<\/p>\n<p dir=\"auto\">\u6362\u53e5\u8bdd\u8bf4\uff0cRNN \u80fd\u591f\u5feb\u901f\u8fdb\u884c\u63a8\u7406\uff0c\u56e0\u4e3a\u5b83\u968f\u7740\u5e8f\u5217\u957f\u5ea6\u7ebf\u6027\u6269\u5c55\uff01\u7406\u8bba\u4e0a\uff0c\u5b83\u751a\u81f3\u53ef\u4ee5\u62e5\u6709<em>\u65e0\u9650\u7684\u4e0a\u4e0b\u6587\u957f\u5ea6<\/em>\u3002<\/p>\n<p dir=\"auto\">\u4e3a\u4e86\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u8ba9\u6211\u4eec\u5c06 RNN \u5e94\u7528\u4e8e\u6211\u4eec\u4e4b\u524d\u4f7f\u7528\u7684\u8f93\u5165\u6587\u672c\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/da334ca44f05ffb.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6bcf\u4e2a\u9690\u85cf\u72b6\u6001\u90fd\u662f\u6240\u6709\u4e4b\u524d\u9690\u85cf\u72b6\u6001\u7684\u805a\u5408\uff0c\u901a\u5e38\u662f\u4e00\u4e2a\u538b\u7f29\u7684\u89c6\u56fe\u3002<\/p>\n<p dir=\"auto\">\u7136\u800c\uff0c\u8fd9\u91cc\u6709\u4e00\u4e2a\u95ee\u9898\u2026\u2026<\/p>\n<p dir=\"auto\">\u6ce8\u610f\uff0c\u5f53\u751f\u6210\u540d\u5b57\u201c<em>Maarten<\/em>\u201d\u65f6\uff0c\u6700\u540e\u4e00\u4e2a\u9690\u85cf\u72b6\u6001\u5df2\u7ecf\u4e0d\u518d\u5305\u542b\u5173\u4e8e\u5355\u8bcd\u201c<em>Hello<\/em>\u201d\u7684\u4fe1\u606f\u4e86\u3002RNN \u968f\u65f6\u95f4\u63a8\u79fb\u5f80\u5f80\u4f1a\u5fd8\u8bb0\u4fe1\u606f\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ea\u8003\u8651\u4e0a\u4e00\u4e2a\u72b6\u6001\u3002<\/p>\n<p dir=\"auto\">\u867d\u7136 RNN \u5728\u8bad\u7ec3\u548c\u63a8\u7406\u65b9\u9762\u901f\u5ea6\u8f83\u5feb\uff0c\u4f46\u5b83\u4eec\u7f3a\u4e4f Transformer \u6a21\u578b\u6240\u80fd\u63d0\u4f9b\u7684\u7cbe\u5ea6\u3002<\/p>\n<p dir=\"auto\">\u56e0\u6b64\uff0c\u6211\u4eec\u7814\u7a76\u72b6\u6001\u7a7a\u95f4\u6a21\u578b (State Space Models) \u6765\u9ad8\u6548\u5730\u4f7f\u7528 RNN\uff08\u6709\u65f6\u8fd8\u4f1a\u4f7f\u7528\u5377\u79ef\uff09\u3002<\/p>\n<h2 dir=\"auto\">\u7b2c 2 \u90e8\u5206\uff1a<strong>\u72b6\u6001\u7a7a\u95f4\u6a21\u578b (SSM)<\/strong><\/h2>\n<p dir=\"auto\">\u72b6\u6001\u7a7a\u95f4\u6a21\u578b (SSM) \u50cf Transformer \u548c RNN \u4e00\u6837\u5904\u7406\u4fe1\u606f\u5e8f\u5217\uff0c\u6bd4\u5982\u6587\u672c\u548c\u4fe1\u53f7\u3002\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd SSM \u7684\u57fa\u672c\u6982\u5ff5\u4ee5\u53ca\u5b83\u4eec\u4e0e\u6587\u672c\u6570\u636e\u7684\u5173\u7cfb\u3002<\/p>\n<h3 dir=\"auto\">\u4ec0\u4e48\u662f\u72b6\u6001\u7a7a\u95f4\uff1f<\/h3>\n<p dir=\"auto\">\u72b6\u6001\u7a7a\u95f4\u5305\u542b\u5b8c\u5168\u63cf\u8ff0\u4e00\u4e2a\u7cfb\u7edf\u6240\u9700\u7684\u6700\u5c11\u53d8\u91cf\u6570\u3002\u5b83\u662f\u4e00\u79cd\u901a\u8fc7\u5b9a\u4e49\u7cfb\u7edf\u53ef\u80fd\u72b6\u6001\u6765\u6570\u5b66\u8868\u793a\u95ee\u9898\u7684\u65b9\u6cd5\u3002<\/p>\n<p dir=\"auto\">\u8ba9\u6211\u4eec\u7b80\u5316\u4e00\u4e0b\u3002\u60f3\u8c61\u6211\u4eec\u6b63\u5728\u7a7f\u8d8a\u8ff7\u5bab\u3002\u201c<em>\u72b6\u6001\u7a7a\u95f4<\/em>\u201d\u5c31\u662f\u6240\u6709\u53ef\u80fd\u4f4d\u7f6e\uff08\u72b6\u6001\uff09\u7684\u5730\u56fe\u3002\u6bcf\u4e2a\u70b9\u4ee3\u8868\u8ff7\u5bab\u4e2d\u7684\u4e00\u4e2a\u72ec\u7279\u4f4d\u7f6e\uff0c\u5e76\u5e26\u6709\u7279\u5b9a\u7684\u7ec6\u8282\uff0c\u6bd4\u5982\u4f60\u8ddd\u79bb\u51fa\u53e3\u6709\u591a\u8fdc\u3002<\/p>\n<p dir=\"auto\">\u201c<em>\u72b6\u6001\u7a7a\u95f4\u8868\u793a<\/em>\u201d\u662f\u5bf9\u8fd9\u5f20\u5730\u56fe\u7684\u7b80\u5316\u63cf\u8ff0\u3002\u5b83\u663e\u793a\u4e86\u4f60\u5f53\u524d\u7684\u4f4d\u7f6e\uff08\u5f53\u524d\u72b6\u6001\uff09\u3001\u4f60\u53ef\u4ee5\u524d\u5f80\u7684\u4e0b\u4e00\u4e2a\u4f4d\u7f6e\uff08\u53ef\u80fd\u7684\u672a\u6765\u72b6\u6001\uff09\u3001\u4ee5\u53ca\u4f60\u5982\u4f55\u5230\u8fbe\u4e0b\u4e00\u4e2a\u4f4d\u7f6e\uff08\u5411\u53f3\u6216\u5411\u5de6\u79fb\u52a8\uff09\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/911a76e93a0250d.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u867d\u7136\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u4f7f\u7528\u65b9\u7a0b\u548c\u77e9\u9635\u6765\u8ddf\u8e2a\u8fd9\u79cd\u884c\u4e3a\uff0c\u4f46\u5b83\u5b9e\u9645\u4e0a\u53ea\u662f\u8ddf\u8e2a\u4f60\u5728\u54ea\u91cc\u3001\u4f60\u53ef\u4ee5\u53bb\u54ea\u91cc\u3001\u4ee5\u53ca\u5982\u4f55\u5230\u8fbe\u90a3\u91cc\u7684\u4e00\u79cd\u65b9\u5f0f\u3002<\/p>\n<p dir=\"auto\">\u53d8\u91cf\u63cf\u8ff0\u4e86\u4e00\u4e2a\u72b6\u6001\uff0c\u5728\u6211\u4eec\u7684\u4f8b\u5b50\u4e2d\uff0cX \u548c Y \u5750\u6807\uff0c\u4ee5\u53ca\u5230\u51fa\u53e3\u7684\u8ddd\u79bb\uff0c\u53ef\u4ee5\u8868\u793a\u4e3a\u201c<em>\u72b6\u6001\u5411\u91cf<\/em>\u201d\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/239d8ed24b4535b.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u542c\u8d77\u6765\u5f88\u719f\u6089\u5417\uff1f\u8fd9\u662f\u56e0\u4e3a\u5728\u8bed\u8a00\u6a21\u578b\u4e2d\uff0c\u5d4c\u5165\u6216\u5411\u91cf\u4e5f\u7ecf\u5e38\u7528\u4e8e\u63cf\u8ff0\u8f93\u5165\u5e8f\u5217\u7684\u201c\u72b6\u6001\u201d\u3002\u4f8b\u5982\uff0c\u63cf\u8ff0\u4f60\u5f53\u524d\u4f4d\u7f6e\u7684\u5411\u91cf\uff08\u72b6\u6001\u5411\u91cf\uff09\u53ef\u80fd\u7c7b\u4f3c\u4e8e\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/31e66ff5c772c78.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u795e\u7ecf\u7f51\u7edc\u4e2d\uff0c\u201c\u72b6\u6001\u201d\u901a\u5e38\u6307\u7684\u662f\u7cfb\u7edf\u7684\u9690\u85cf\u72b6\u6001\uff0c\u5728\u5927\u8bed\u8a00\u6a21\u578b\u4e2d\uff0c\u8fd9\u662f\u751f\u6210\u65b0 token \u65f6\u6700\u91cd\u8981\u7684\u65b9\u9762\u4e4b\u4e00\u3002<\/p>\n<h3 dir=\"auto\">\u4ec0\u4e48\u662f\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff1f<\/h3>\n<p dir=\"auto\">SSM\uff08\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff09\u662f\u4e00\u7c7b\u7528\u4e8e\u63cf\u8ff0\u8fd9\u4e9b\u72b6\u6001\u8868\u793a\u5e76\u9884\u6d4b\u5176\u4e0b\u4e00\u4e2a\u72b6\u6001\u7684\u6a21\u578b\uff0c\u9884\u6d4b\u57fa\u4e8e\u67d0\u4e9b\u8f93\u5165\u3002<\/p>\n<p dir=\"auto\">\u4f20\u7edf\u4e0a\uff0c\u5728\u65f6\u95f4\u00a0<em><strong>t<\/strong><\/em>\uff0cSSM\uff1a<\/p>\n<ul>\n<li dir=\"auto\">\u5c06\u8f93\u5165\u5e8f\u5217\u00a0<em><strong>x(t)<\/strong><\/em>\uff08\u4f8b\u5982\uff0c\u5728\u8ff7\u5bab\u4e2d\u5411\u5de6\u548c\u5411\u4e0b\u79fb\u52a8\uff09\u6620\u5c04\u5230\u6f5c\u5728\u72b6\u6001\u8868\u793a\u00a0<em><strong>h(t)<\/strong><\/em>\uff08\u4f8b\u5982\uff0c\u5230\u51fa\u53e3\u7684\u8ddd\u79bb\u548c x\/y \u5750\u6807\uff09<\/li>\n<li dir=\"auto\">\u5e76\u63a8\u5bfc\u51fa\u9884\u6d4b\u7684\u8f93\u51fa\u5e8f\u5217\u00a0<em><strong>y(t)<\/strong><\/em>\uff08\u4f8b\u5982\uff0c\u518d\u6b21\u5411\u5de6\u79fb\u52a8\u4ee5\u66f4\u5feb\u5230\u8fbe\u51fa\u53e3\uff09<\/li>\n<\/ul>\n<p dir=\"auto\">\u7136\u800c\uff0cSSM \u5e76\u4e0d\u662f\u4f7f\u7528\u79bb\u6563\u5e8f\u5217\uff08\u5982\u5411\u5de6\u79fb\u52a8\u4e00\u6b21\uff09\uff0c\u800c\u662f\u63a5\u53d7\u8fde\u7eed\u5e8f\u5217\u4f5c\u4e3a\u8f93\u5165\u5e76\u9884\u6d4b\u8f93\u51fa\u5e8f\u5217\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/2d591019c28dad3.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> SSM \u5047\u8bbe\u52a8\u6001\u7cfb\u7edf\uff08\u5982\u5728 3D \u7a7a\u95f4\u4e2d\u79fb\u52a8\u7684\u7269\u4f53\uff09\u53ef\u4ee5\u901a\u8fc7\u65f6\u95f4\u00a0<em><strong>t<\/strong><\/em>\u00a0\u7684\u72b6\u6001\u548c\u4e24\u4e2a\u65b9\u7a0b\u6765\u9884\u6d4b\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/3267e782c81f226.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u901a\u8fc7\u6c42\u89e3\u8fd9\u4e9b\u65b9\u7a0b\uff0c\u6211\u4eec\u5047\u8bbe\u53ef\u4ee5\u6839\u636e\u89c2\u6d4b\u5230\u7684\u6570\u636e\uff08\u8f93\u5165\u5e8f\u5217\u548c\u5148\u524d\u72b6\u6001\uff09\u63ed\u793a\u9884\u6d4b\u7cfb\u7edf\u72b6\u6001\u7684\u7edf\u8ba1\u539f\u5219\u3002<\/p>\n<p dir=\"auto\">\u5176\u76ee\u6807\u662f\u627e\u5230\u8fd9\u4e2a\u72b6\u6001\u8868\u793a\u00a0<em><strong>h(t)<\/strong><\/em>\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u4ece\u8f93\u5165\u5230\u8f93\u51fa\u5e8f\u5217\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/d93212b893f3516.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u4e24\u4e2a\u65b9\u7a0b\u662f\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u7684\u6838\u5fc3\u3002<\/p>\n<p dir=\"auto\">\u8fd9\u4e24\u4e2a\u65b9\u7a0b\u5c06\u5728\u6574\u4e2a\u6307\u5357\u4e2d\u5f15\u7528\u3002\u4e3a\u4e86\u8ba9\u5b83\u4eec\u66f4\u76f4\u89c2\uff0c<strong>\u6211\u4eec\u4f7f\u7528\u989c\u8272\u7f16\u7801<\/strong>\uff0c\u8fd9\u6837\u4f60\u53ef\u4ee5\u5feb\u901f\u5f15\u7528\u5b83\u4eec\u3002<\/p>\n<p dir=\"auto\"><strong>\u72b6\u6001\u65b9\u7a0b<\/strong>\u00a0\u63cf\u8ff0\u4e86\u72b6\u6001\u5982\u4f55\u6839\u636e\u8f93\u5165\uff08\u901a\u8fc7\u00a0<em>\u77e9\u9635 B<\/em>\uff09\u5f71\u54cd\u72b6\u6001\uff08\u901a\u8fc7\u00a0<em>\u77e9\u9635 A<\/em>\uff09\u800c\u53d8\u5316\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/a29076ddfb6c3de.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5982\u524d\u6240\u8ff0\uff0c<em><strong>h(t)<\/strong><\/em>\u00a0\u6307\u7684\u662f\u4efb\u610f\u7ed9\u5b9a\u65f6\u95f4\u00a0<em><strong>t<\/strong><\/em>\u00a0\u7684\u6f5c\u5728\u72b6\u6001\u8868\u793a\uff0c<em><strong>x(t)<\/strong><\/em>\u00a0\u6307\u7684\u662f\u67d0\u4e2a\u8f93\u5165\u3002<\/p>\n<p dir=\"auto\"><strong>\u8f93\u51fa\u65b9\u7a0b<\/strong>\u00a0\u63cf\u8ff0\u4e86\u72b6\u6001\u5982\u4f55\u901a\u8fc7\u00a0<em>\u77e9\u9635 C<\/em>\u00a0\u8f6c\u6362\u4e3a\u8f93\u51fa\uff0c\u4ee5\u53ca\u8f93\u5165\u5982\u4f55\u901a\u8fc7\u00a0<em>\u77e9\u9635 D<\/em>\u00a0\u5f71\u54cd\u8f93\u51fa\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><strong> <img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/0bf40509977b5a7.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> <\/strong><\/p>\n<p><strong>\u6ce8\u610f<\/strong>\uff1a\u77e9\u9635\u00a0<em>A<\/em>\u3001<em>B<\/em>\u3001<em>C<\/em>\u00a0\u548c\u00a0<em>D<\/em>\u00a0\u4e5f\u5e38\u88ab\u79f0\u4e3a\u00a0<strong>\u53c2\u6570<\/strong>\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u53ef\u5b66\u4e60\u7684\u3002<\/p>\n<p dir=\"auto\">\u5c06\u8fd9\u4e24\u4e2a\u65b9\u7a0b\u53ef\u89c6\u5316\uff0c\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\u67b6\u6784\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/89746847acc7ce1.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8ba9\u6211\u4eec\u4e00\u6b65\u6b65\u4e86\u89e3\u8fd9\u4e9b\u77e9\u9635\u5982\u4f55\u5f71\u54cd\u5b66\u4e60\u8fc7\u7a0b\u3002<\/p>\n<p dir=\"auto\">\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e9b\u8f93\u5165\u4fe1\u53f7\u00a0<em><strong>x(t)<\/strong><\/em>\uff0c\u8be5\u4fe1\u53f7\u9996\u5148\u4e0e\u00a0<em>\u77e9\u9635 B<\/em>\u00a0\u76f8\u4e58\uff0c<em>\u77e9\u9635 B<\/em>\u00a0\u63cf\u8ff0\u4e86\u8f93\u5165\u5982\u4f55\u5f71\u54cd\u7cfb\u7edf\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/8fabdf0ac9b4558.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u66f4\u65b0\u540e\u7684\u72b6\u6001\uff08\u7c7b\u4f3c\u4e8e\u795e\u7ecf\u7f51\u7edc\u7684\u9690\u85cf\u72b6\u6001\uff09\u662f\u4e00\u4e2a\u6f5c\u5728\u7a7a\u95f4\uff0c\u5176\u4e2d\u5305\u542b\u4e86\u73af\u5883\u7684\u6838\u5fc3\u201c\u77e5\u8bc6\u201d\u3002\u6211\u4eec\u5c06\u72b6\u6001\u4e0e\u00a0<em>\u77e9\u9635 A<\/em>\u00a0\u76f8\u4e58\uff0c\u8be5\u77e9\u9635\u63cf\u8ff0\u4e86\u6240\u6709\u5185\u90e8\u72b6\u6001\u4e4b\u95f4\u7684\u5173\u8054\uff0c\u8868\u793a\u7cfb\u7edf\u7684\u57fa\u672c\u52a8\u6001\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/f10773b21a60cd3.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u4f60\u53ef\u80fd\u5df2\u7ecf\u6ce8\u610f\u5230\uff0c<em>\u77e9\u9635 A<\/em>\u00a0\u5728\u521b\u5efa\u72b6\u6001\u8868\u793a\u4e4b\u524d\u5e94\u7528\uff0c\u5e76\u5728\u72b6\u6001\u8868\u793a\u66f4\u65b0\u540e\u518d\u6b21\u5e94\u7528\u3002<\/p>\n<p dir=\"auto\">\u7136\u540e\uff0c\u6211\u4eec\u4f7f\u7528\u00a0<em>\u77e9\u9635 C<\/em>\u00a0\u6765\u63cf\u8ff0\u72b6\u6001\u5982\u4f55\u8f6c\u6362\u4e3a\u8f93\u51fa\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/bcff9f0c6f67e50.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6700\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u00a0<em>\u77e9\u9635 D<\/em>\u00a0\u63d0\u4f9b\u4ece\u8f93\u5165\u5230\u8f93\u51fa\u7684\u76f4\u63a5\u4fe1\u53f7\u3002\u8fd9\u901a\u5e38\u4e5f\u88ab\u79f0\u4e3a\u00a0<em>\u8df3\u8dc3\u8fde\u63a5<\/em>\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/83d71ee9d14febd.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u7531\u4e8e\u00a0<em>\u77e9\u9635 D<\/em>\u00a0\u7c7b\u4f3c\u4e8e\u8df3\u8dc3\u8fde\u63a5\uff0cSSM \u901a\u5e38\u88ab\u8ba4\u4e3a\u662f\u4e0d\u5305\u542b\u8df3\u8dc3\u8fde\u63a5\u7684\u4ee5\u4e0b\u5f62\u5f0f\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/2ded01826ab2244.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u56de\u5230\u6211\u4eec\u7684\u7b80\u5316\u89c6\u89d2\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u5c06\u91cd\u70b9\u653e\u5728\u77e9\u9635\u00a0<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u4e0a\uff0c\u4f5c\u4e3a SSM \u7684\u6838\u5fc3\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/402a4c67818c461.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6211\u4eec\u53ef\u4ee5\u66f4\u65b0\u539f\u59cb\u65b9\u7a0b\uff08\u5e76\u6dfb\u52a0\u4e00\u4e9b\u6f02\u4eae\u7684\u989c\u8272\uff09\u6765\u6807\u660e\u6bcf\u4e2a\u77e9\u9635\u7684\u7528\u9014\uff0c\u5c31\u50cf\u6211\u4eec\u4e4b\u524d\u505a\u7684\u90a3\u6837\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/13c9e043049aeea.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u4e24\u7ec4\u65b9\u7a0b\u4e00\u8d77\u65e8\u5728\u4ece\u89c2\u5bdf\u6570\u636e\u4e2d\u9884\u6d4b\u7cfb\u7edf\u7684\u72b6\u6001\u3002\u7531\u4e8e\u8f93\u5165\u662f\u8fde\u7eed\u7684\uff0cSSM \u7684\u4e3b\u8981\u8868\u793a\u5f62\u5f0f\u662f\u00a0<strong>\u8fde\u7eed\u65f6\u95f4\u8868\u793a<\/strong>\u3002<\/p>\n<h3 dir=\"auto\">\u4ece\u8fde\u7eed\u4fe1\u53f7\u5230\u79bb\u6563\u4fe1\u53f7<\/h3>\n<p dir=\"auto\">\u5982\u679c\u4f60\u6709\u4e00\u4e2a\u8fde\u7eed\u4fe1\u53f7\uff0c\u627e\u5230\u72b6\u6001\u8868\u793a\u00a0<em><strong>h(t)<\/strong><\/em>\u00a0\u5728\u89e3\u6790\u4e0a\u5177\u6709\u6311\u6218\u6027\u3002\u6b64\u5916\uff0c\u7531\u4e8e\u6211\u4eec\u901a\u5e38\u6709\u79bb\u6563\u8f93\u5165\uff08\u4f8b\u5982\u6587\u672c\u5e8f\u5217\uff09\uff0c\u6211\u4eec\u5e0c\u671b\u5bf9\u6a21\u578b\u8fdb\u884c\u79bb\u6563\u5316\u3002<\/p>\n<p dir=\"auto\">\u4e3a\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u4e86\u00a0<em>\u96f6\u9636\u4fdd\u6301\u6280\u672f<\/em>\u3002\u5176\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\uff1a\u9996\u5148\uff0c\u6bcf\u5f53\u6211\u4eec\u63a5\u6536\u5230\u79bb\u6563\u4fe1\u53f7\u65f6\uff0c\u6211\u4eec\u4fdd\u6301\u5176\u503c\uff0c\u76f4\u5230\u6211\u4eec\u63a5\u6536\u5230\u65b0\u7684\u79bb\u6563\u4fe1\u53f7\u4e3a\u6b62\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4f1a\u751f\u6210\u4e00\u4e2a\u8fde\u7eed\u4fe1\u53f7\uff0c\u4f9b SSM \u4f7f\u7528\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/e37cd0b42cca6a2.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6211\u4eec\u4fdd\u6301\u6570\u503c\u7684\u65f6\u95f4\u7531\u4e00\u4e2a\u53ef\u5b66\u4e60\u7684\u65b0\u53c2\u6570\u00a0<em>\u6b65\u957f<\/em>\u00a0<strong>\u2206<\/strong>\u00a0\u8868\u793a\u3002\u5b83\u8868\u793a\u8f93\u5165\u7684\u5206\u8fa8\u7387\u3002<\/p>\n<p dir=\"auto\">\u73b0\u5728\u6211\u4eec\u4e3a\u8f93\u5165\u751f\u6210\u4e86\u4e00\u4e2a\u8fde\u7eed\u4fe1\u53f7\uff0c\u63a5\u4e0b\u6765\u6211\u4eec\u53ef\u4ee5\u751f\u6210\u8fde\u7eed\u8f93\u51fa\uff0c\u5e76\u6839\u636e\u8f93\u5165\u7684\u65f6\u95f4\u6b65\u957f\u5bf9\u8fd9\u4e9b\u503c\u8fdb\u884c\u91c7\u6837\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/be2380c2dc27ff7.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u4e9b\u91c7\u6837\u7684\u503c\u5c31\u662f\u6211\u4eec\u79bb\u6563\u5316\u7684\u8f93\u51fa\uff01<\/p>\n<p dir=\"auto\">\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u6211\u4eec\u53ef\u4ee5\u5982\u4e0b\u5e94\u7528\u96f6\u9636\u4fdd\u6301\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/eab738bc04f1e1c.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5b83\u4eec\u5171\u540c\u4f7f\u6211\u4eec\u53ef\u4ee5\u4ece\u4e00\u4e2a\u8fde\u7eed\u7684 SSM \u8fc7\u6e21\u5230\u4e00\u4e2a\u79bb\u6563\u7684 SSM\u3002\u6b64\u65f6\u6a21\u578b\u4e0d\u518d\u662f\u00a0<em>\u51fd\u6570\u5bf9\u51fd\u6570<\/em>\u00a0<em><strong>x(t)<\/strong><\/em>\u00a0\u2192\u00a0<em><strong>y(t)<\/strong><\/em>\uff0c\u800c\u662f\u00a0<em>\u5e8f\u5217\u5bf9\u5e8f\u5217<\/em>\u00a0<strong>x<\/strong><em><strong>\u2096<\/strong>\u00a0\u2192\u00a0<\/em><strong>y<\/strong>_<strong>\u2096<\/strong>\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/9b0c72ece15bf45.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u91cc\uff0c\u77e9\u9635\u00a0<em>A<\/em>\u00a0\u548c\u00a0<em>B<\/em>\u00a0\u73b0\u5728\u8868\u793a\u6a21\u578b\u7684\u79bb\u6563\u5316\u53c2\u6570\u3002<\/p>\n<p dir=\"auto\">\u6211\u4eec\u7528\u00a0<em><strong>k<\/strong><\/em>\u00a0\u6765\u4ee3\u66ff\u00a0<em><strong>t<\/strong><\/em>\uff0c\u4ee5\u533a\u5206\u6211\u4eec\u4f55\u65f6\u5728\u8c08\u8bba\u8fde\u7eed\u7684 SSM \u4e0e\u79bb\u6563\u7684 SSM\u3002<\/p>\n<p><strong>\u6ce8\u610f\uff1a<\/strong>\u00a0\u5728\u8bad\u7ec3\u671f\u95f4\uff0c\u6211\u4eec\u4ecd\u7136\u4fdd\u7559\u00a0<em>\u77e9\u9635 A<\/em>\u00a0\u7684\u8fde\u7eed\u5f62\u5f0f\uff0c\u800c\u4e0d\u662f\u5176\u79bb\u6563\u5316\u7248\u672c\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u8fde\u7eed\u8868\u793a\u4f1a\u88ab\u79bb\u6563\u5316\u3002<\/p>\n<p dir=\"auto\">\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u6709\u4e86\u4e00\u4e2a\u79bb\u6563\u5316\u8868\u793a\u7684\u516c\u5f0f\uff0c\u8ba9\u6211\u4eec\u63a2\u8ba8\u5982\u4f55\u5b9e\u9645\u00a0<em>\u8ba1\u7b97<\/em>\u00a0\u8be5\u6a21\u578b\u3002<\/p>\n<h3 dir=\"auto\">\u9012\u5f52\u8868\u793a<\/h3>\n<p dir=\"auto\">\u6211\u4eec\u7684\u79bb\u6563\u5316 SSM \u4f7f\u6211\u4eec\u80fd\u591f\u5728\u7279\u5b9a\u7684\u65f6\u95f4\u6b65\u4e2d\uff0c\u800c\u4e0d\u662f\u8fde\u7eed\u4fe1\u53f7\u4e2d\uff0c\u6784\u5efa\u95ee\u9898\u3002\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u5728 RNN \u4e2d\u770b\u5230\u7684\uff0c\u9012\u5f52\u65b9\u6cd5\u5728\u8fd9\u91cc\u975e\u5e38\u6709\u7528\u3002<\/p>\n<p dir=\"auto\">\u5982\u679c\u6211\u4eec\u8003\u8651\u79bb\u6563\u7684\u65f6\u95f4\u6b65\u800c\u4e0d\u662f\u8fde\u7eed\u4fe1\u53f7\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u65f6\u95f4\u6b65\u91cd\u65b0\u8868\u8ff0\u8fd9\u4e2a\u95ee\u9898\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/413f582a15a8d9e.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97\u5f53\u524d\u8f93\u5165 (<em><strong>Bx<\/strong><\/em><strong>\u2096<\/strong>) \u5982\u4f55\u5f71\u54cd\u524d\u4e00\u4e2a\u72b6\u6001 (<strong>Ah\u2096\u208b\u2081<\/strong>)\uff0c\u7136\u540e\u8ba1\u7b97\u9884\u6d4b\u8f93\u51fa (<em><strong>Ch<\/strong><\/em><strong>\u2096<\/strong>)\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/24e6428c6169a8b.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u4e2a\u8868\u793a\u53ef\u80fd\u5df2\u7ecf\u8ba9\u4f60\u611f\u5230\u719f\u6089\uff01\u6211\u4eec\u53ef\u4ee5\u50cf\u4e4b\u524d\u5bf9 RNN \u7684\u5904\u7406\u65b9\u6cd5\u4e00\u6837\u8fdb\u884c\u5206\u6790\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/10b0a2ab085c046.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u5c55\u5f00\uff08\u6216\u5c55\u5f00\u6210\u4e00\u7cfb\u5217\u65f6\u95f4\u6b65\uff09\u5982\u4e0b\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/d4523fd169c9042.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8bf7\u6ce8\u610f\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 RNN \u7684\u57fa\u672c\u65b9\u6cd5\u6765\u4f7f\u7528\u8fd9\u79cd\u79bb\u6563\u5316\u7684\u7248\u672c\u3002<\/p>\n<h3 dir=\"auto\">\u5377\u79ef\u8868\u793a<\/h3>\n<p dir=\"auto\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5377\u79ef\u6765\u8868\u793a SSM\u3002\u8bb0\u4f4f\u5728\u7ecf\u5178\u56fe\u50cf\u8bc6\u522b\u4efb\u52a1\u4e2d\uff0c\u6211\u4eec\u5e94\u7528\u6ee4\u6ce2\u5668\uff08<em>kernels<\/em>\uff09\u6765\u63d0\u53d6\u805a\u5408\u7279\u5f81\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/21bc511346ff14b.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u7531\u4e8e\u6211\u4eec\u5904\u7406\u7684\u662f\u6587\u672c\u800c\u4e0d\u662f\u56fe\u50cf\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4e00\u7ef4\u89c6\u89d2\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/384ef4ce2cf9bcd.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6211\u4eec\u7528\u6765\u8868\u793a\u8fd9\u4e2a\u201c\u6ee4\u6ce2\u5668\u201d\u7684\u5185\u6838\u6e90\u81ea SSM \u516c\u5f0f\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/0338cc6a18e70fa.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8ba9\u6211\u4eec\u6765\u770b\u770b\u8fd9\u4e2a\u5185\u6838\u5728\u5b9e\u8df5\u4e2d\u7684\u4f5c\u7528\u3002\u50cf\u5377\u79ef\u4e00\u6837\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 SSM \u5185\u6838\u904d\u5386\u6bcf\u7ec4 tokens \u5e76\u8ba1\u7b97\u8f93\u51fa\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/ab35a6adeb841e7.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u4e5f\u5c55\u793a\u4e86\u586b\u5145\u53ef\u80fd\u5bf9\u8f93\u51fa\u4ea7\u751f\u7684\u5f71\u54cd\u3002\u6211\u66f4\u6539\u4e86\u586b\u5145\u7684\u987a\u5e8f\u4ee5\u6539\u5584\u53ef\u89c6\u5316\uff0c\u4f46\u6211\u4eec\u901a\u5e38\u5728\u53e5\u5b50\u672b\u5c3e\u5e94\u7528\u586b\u5145\u3002<\/p>\n<p dir=\"auto\">\u5728\u4e0b\u4e00\u6b65\u4e2d\uff0c\u5185\u6838\u4f1a\u79fb\u52a8\u4e00\u6b21\u4ee5\u6267\u884c\u8ba1\u7b97\u7684\u4e0b\u4e00\u6b65\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/7fdb3ffeaa8c733.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u6700\u540e\u4e00\u6b65\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5185\u6838\u7684\u5168\u90e8\u6548\u679c\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/4f8f673b3db4346.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5c06 SSM \u8868\u793a\u4e3a\u5377\u79ef\u7684\u4e00\u4e2a\u4e3b\u8981\u597d\u5904\u662f\u5b83\u53ef\u4ee5\u50cf\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\uff08CNNs\uff09\u4e00\u6837\u5e76\u884c\u8bad\u7ec3\u3002\u7136\u800c\uff0c\u7531\u4e8e\u5185\u6838\u5927\u5c0f\u56fa\u5b9a\uff0c\u5b83\u4eec\u7684\u63a8\u7406\u901f\u5ea6\u4e0d\u5982 RNNs \u5feb\u4e14\u4e0d\u53d7\u9650\u5236\u3002<\/p>\n<h3 dir=\"auto\">\u4e09\u79cd\u8868\u793a\u65b9\u5f0f<\/h3>\n<p dir=\"auto\">\u8fd9\u4e09\u79cd\u8868\u793a\u65b9\u5f0f\u2014\u2014<em>\u8fde\u7eed<\/em>\u3001<em>\u9012\u5f52<\/em>\u00a0\u548c\u00a0<em>\u5377\u79ef<\/em>\u00a0\u5404\u6709\u4e0d\u540c\u7684\u4f18\u7f3a\u70b9\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/ad6b8563cf05ab6.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6709\u8da3\u7684\u662f\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u5229\u7528\u9012\u5f52 SSM \u8fdb\u884c\u9ad8\u6548\u63a8\u7406\uff0c\u540c\u65f6\u5229\u7528\u5377\u79ef SSM \u8fdb\u884c\u5e76\u884c\u8bad\u7ec3\u3002<\/p>\n<p dir=\"auto\">\u5229\u7528\u8fd9\u4e9b\u8868\u793a\u65b9\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e2a\u5de7\u5999\u7684\u6280\u5de7\uff0c\u5373\u6839\u636e\u4efb\u52a1\u9009\u62e9\u8868\u793a\u65b9\u5f0f\u3002\u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u53ef\u4ee5\u5e76\u884c\u5316\u7684\u5377\u79ef\u8868\u793a\uff0c\u800c\u5728\u63a8\u7406\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u9ad8\u6548\u7684\u9012\u5f52\u8868\u793a\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/ab486f8ef221c27.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u4e2a\u6a21\u578b\u88ab\u79f0\u4e3a\u00a0<a href=\"https:\/\/proceedings.neurips.cc\/paper_files\/paper\/2021\/hash\/05546b0e38ab9175cd905eebcc6ebb76-Abstract.html\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/proceedings.neurips.cc\/paper_files\/paper\/2021\/hash\/05546b0e38ab9175cd905eebcc6ebb76-Abstract.html\">\u7ebf\u6027\u72b6\u6001\u7a7a\u95f4\u5c42\uff08LSSL\uff09<\/a>\u3002\u00a0<a href=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-2-141228095\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-2-141228095\">2<\/a><\/p>\n<p dir=\"auto\">\u8fd9\u4e9b\u8868\u793a\u65b9\u5f0f\u5171\u4eab\u4e00\u4e2a\u91cd\u8981\u5c5e\u6027\uff0c\u5373<em><strong>\u7ebf\u6027\u65f6\u95f4\u4e0d\u53d8\u6027<\/strong><\/em>\uff08LTI\uff09\u3002LTI \u8868\u793a SSM \u7684\u53c2\u6570\u00a0<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u5728\u6240\u6709\u65f6\u95f4\u6b65\u4e2d\u90fd\u662f\u56fa\u5b9a\u7684\u3002\u8fd9\u610f\u5473\u7740\u77e9\u9635\u00a0<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u5bf9\u6bcf\u4e2a\u751f\u6210\u7684 Token \u90fd\u662f\u76f8\u540c\u7684\u3002<\/p>\n<p dir=\"auto\">\u6362\u53e5\u8bdd\u8bf4\uff0c\u65e0\u8bba\u4f60\u7ed9 SSM \u4efb\u4f55\u5e8f\u5217\uff0c<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u7684\u503c\u90fd\u4fdd\u6301\u4e0d\u53d8\u3002\u6211\u4eec\u6709\u4e00\u4e2a\u4e0d\u5173\u5fc3\u5185\u5bb9\u7684\u9759\u6001\u8868\u793a\u65b9\u5f0f\u3002<\/p>\n<p dir=\"auto\">\u5728\u63a2\u8ba8 Mamba \u5982\u4f55\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u4e4b\u524d\uff0c\u8ba9\u6211\u4eec\u63a2\u8ba8\u6700\u540e\u4e00\u4e2a\u62fc\u56fe\u788e\u7247\u2014\u2014<em>\u77e9\u9635 A<\/em>\u3002<\/p>\n<h3 dir=\"auto\">\u77e9\u9635\u00a0<em>A<\/em>\u00a0\u7684\u91cd\u8981\u6027<\/h3>\n<p dir=\"auto\">\u53ef\u4ee5\u8bf4\uff0cSSM \u516c\u5f0f\u4e2d\u6700\u91cd\u8981\u7684\u65b9\u9762\u4e4b\u4e00\u662f\u00a0<em>\u77e9\u9635 A<\/em>\u3002\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u5728\u9012\u5f52\u8868\u793a\u4e2d\u770b\u5230\u7684\uff0c\u5b83\u6355\u6349\u4e86\u6709\u5173\u00a0<em>\u4e0a\u4e00\u4e2a<\/em>\u00a0\u72b6\u6001\u7684\u4fe1\u606f\uff0c\u4ee5\u6784\u5efa\u00a0<em>\u65b0\u7684<\/em>\u00a0\u72b6\u6001\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/d8501293cba0939.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u672c\u8d28\u4e0a\uff0c<em>\u77e9\u9635 A<\/em>\u00a0\u751f\u6210\u9690\u85cf\u72b6\u6001\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/884996b62d4991a.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u56e0\u6b64\uff0c\u521b\u5efa\u00a0<em>\u77e9\u9635 A<\/em>\u00a0\u53ef\u80fd\u4f1a\u51b3\u5b9a\u6211\u4eec\u80fd\u5426\u8bb0\u4f4f\u4ec5\u4ec5\u51e0\u4e2a\u4e4b\u524d\u7684 token \u6216\u6355\u6349\u5230\u6211\u4eec\u8fc4\u4eca\u4e3a\u6b62\u770b\u5230\u7684\u6bcf\u4e00\u4e2a token\u3002\u7279\u522b\u662f\u5728\u9012\u5f52\u8868\u793a\u7684\u80cc\u666f\u4e0b\uff0c\u56e0\u4e3a\u5b83\u53ea\u00a0<em>\u56de\u987e<\/em>\u00a0<em>\u4e0a\u4e00\u4e2a\u72b6\u6001<\/em>\u3002<\/p>\n<p dir=\"auto\">\u5982\u4f55\u4ee5\u4fdd\u7559\u5927\u91cf\u8bb0\u5fc6\uff08\u4e0a\u4e0b\u6587\u5927\u5c0f\uff09\u7684\u65b9\u5f0f\u521b\u5efa\u00a0<em>matrix A<\/em>\uff1f<\/p>\n<p dir=\"auto\">\u6211\u4eec\u4f7f\u7528 Hungry Hungry Hippo\uff01\u6216\u8005\u00a0<a href=\"https:\/\/proceedings.neurips.cc\/paper\/2020\/hash\/102f0bb6efb3a6128a3c750dd16729be-Abstract.html\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/proceedings.neurips.cc\/paper\/2020\/hash\/102f0bb6efb3a6128a3c750dd16729be-Abstract.html\">HiPPO<\/a><a href=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-3-141228095\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-3-141228095\">3<\/a>\u00a0\u6765\u5b9e\u73b0<strong>\u9ad8<\/strong>\u9636\u00a0<strong>\u591a<\/strong>\u9879\u5f0f\u00a0<strong>\u6295<\/strong>\u5f71\u00a0<strong>\u8fd0<\/strong>\u7b97\u7b26\u3002HiPPO \u8bd5\u56fe\u5c06\u5176\u81f3\u4eca\u770b\u5230\u7684\u6240\u6709\u8f93\u5165\u4fe1\u53f7\u538b\u7f29\u4e3a\u4e00\u4e2a\u7cfb\u6570\u5411\u91cf\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/ebf5bd60dc404c7.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5b83\u4f7f\u7528\u00a0<em>matrix A<\/em>\u00a0\u6765\u6784\u5efa\u4e00\u4e2a\u72b6\u6001\u8868\u793a\uff0c\u8be5\u8868\u793a\u80fd\u591f\u8f83\u597d\u5730\u6355\u6349\u6700\u8fd1\u7684 token\uff0c\u5e76\u8870\u51cf\u8f83\u65e7\u7684 token\u3002\u5176\u516c\u5f0f\u53ef\u4ee5\u8868\u793a\u5982\u4e0b\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/0d994acbee28d9f.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u65b9\u9635\u00a0<em>matrix A<\/em>\uff0c\u8fd9\u7ed9\u6211\u4eec\u63d0\u4f9b\u4e86\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/8305d107af0bdfc.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u4f7f\u7528 HiPPO \u6784\u5efa\u00a0<em>matrix A<\/em>\u00a0\u88ab\u8bc1\u660e\u6bd4\u5c06\u5176\u521d\u59cb\u5316\u4e3a\u968f\u673a\u77e9\u9635\u8981\u597d\u5f97\u591a\u3002\u56e0\u6b64\uff0c\u5b83\u5728\u91cd\u5efa\u00a0<em>\u66f4\u65b0<\/em>\u00a0\u4fe1\u53f7\uff08\u6700\u8fd1\u7684 token\uff09\u65b9\u9762\u6bd4\u00a0<em>\u8f83\u65e7<\/em>\u00a0\u4fe1\u53f7\uff08\u521d\u59cb token\uff09\u66f4\u4e3a\u51c6\u786e\u3002<\/p>\n<p dir=\"auto\">HiPPO \u77e9\u9635\u7684\u6838\u5fc3\u601d\u60f3\u662f\u751f\u6210\u4e00\u4e2a\u8bb0\u5fc6\u5176\u5386\u53f2\u7684\u9690\u85cf\u72b6\u6001\u3002<\/p>\n<p dir=\"auto\">\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u5b83\u901a\u8fc7\u8ddf\u8e2a\u00a0<a href=\"https:\/\/proceedings.neurips.cc\/paper\/2019\/hash\/952285b9b7e7a1be5aa7849f32ffff05-Abstract.html\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/proceedings.neurips.cc\/paper\/2019\/hash\/952285b9b7e7a1be5aa7849f32ffff05-Abstract.html\">Legendre \u591a\u9879\u5f0f<\/a>\u00a0\u7684\u7cfb\u6570\u6765\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u8fd9\u4f7f\u5f97\u5b83\u80fd\u591f\u8fd1\u4f3c\u6240\u6709\u7684\u5386\u53f2\u8bb0\u5f55\u3002<a href=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-4-141228095\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-4-141228095\">4<\/a><\/p>\n<p dir=\"auto\">\u7136\u540e HiPPO \u88ab\u5e94\u7528\u4e8e\u6211\u4eec\u4e4b\u524d\u770b\u5230\u7684\u9012\u5f52\u548c\u5377\u79ef\u8868\u793a\uff0c\u4ee5\u5904\u7406\u957f\u8ddd\u79bb\u4f9d\u8d56\u5173\u7cfb\u3002\u7ed3\u679c\u662f\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2111.00396\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/arxiv.org\/abs\/2111.00396\">Structured State Space for Sequences (S4)<\/a>\uff0c\u4e00\u79cd\u53ef\u4ee5\u9ad8\u6548\u5904\u7406\u957f\u5e8f\u5217\u7684 SSM \u7c7b\u3002<a href=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-5-141228095\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/newsletter.maartengrootendorst.com\/p\/a-visual-guide-to-mamba-and-state#footnote-5-141228095\">5<\/a><\/p>\n<p dir=\"auto\">\u5b83\u7531\u4e09\u90e8\u5206\u7ec4\u6210\uff1a<\/p>\n<ul>\n<li dir=\"auto\">\u72b6\u6001\u7a7a\u95f4\u6a21\u578b<\/li>\n<li dir=\"auto\">HiPPO \u7528\u4e8e\u5904\u7406\u00a0<strong>\u957f\u8ddd\u79bb\u4f9d\u8d56<\/strong><\/li>\n<li dir=\"auto\">\u79bb\u6563\u5316\u7528\u4e8e\u521b\u5efa\u00a0<strong>\u9012\u5f52<\/strong>\u00a0\u548c\u00a0<strong>\u5377\u79ef<\/strong>\u00a0\u8868\u793a<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/fb6d01150219eb2.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u7c7b SSM \u5177\u6709\u591a\u4e2a\u4f18\u70b9\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u4f60\u9009\u62e9\u7684\u8868\u793a\u65b9\u5f0f\uff08\u9012\u5f52\u4e0e\u5377\u79ef\uff09\u3002\u5b83\u8fd8\u53ef\u4ee5\u5904\u7406\u957f\u6587\u672c\u5e8f\u5217\uff0c\u5e76\u901a\u8fc7\u57fa\u4e8e HiPPO \u77e9\u9635\u6765\u9ad8\u6548\u5730\u5b58\u50a8\u8bb0\u5fc6\u3002<\/p>\n<p><strong>\u6ce8\u610f<\/strong>\uff1a\u5982\u679c\u4f60\u60f3\u6df1\u5165\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97 HiPPO \u77e9\u9635\u5e76\u81ea\u5df1\u6784\u5efa S4 \u6a21\u578b\uff0c\u6211\u5f3a\u70c8\u5efa\u8bae\u4f60\u9605\u8bfb\u00a0<a href=\"https:\/\/srush.github.io\/annotated-s4\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/srush.github.io\/annotated-s4\/\">Annotated S4<\/a>\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2 dir=\"auto\">\u7b2c 3 \u90e8\u5206\uff1a<strong>Mamba &#8211; \u4e00\u79cd\u9009\u62e9\u6027\u72b6\u6001\u7a7a\u95f4\u6a21\u578b<\/strong><\/h2>\n<p dir=\"auto\">\u6211\u4eec\u7ec8\u4e8e\u8986\u76d6\u4e86\u7406\u89e3 Mamba \u7279\u6b8a\u4e4b\u5904\u6240\u9700\u7684\u6240\u6709\u57fa\u7840\u77e5\u8bc6\u3002\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u53ef\u4ee5\u7528\u4e8e\u5efa\u6a21\u6587\u672c\u5e8f\u5217\uff0c\u4f46\u4ecd\u7136\u6709\u4e00\u7cfb\u5217\u6211\u4eec\u5e0c\u671b\u907f\u514d\u7684\u7f3a\u70b9\u3002<\/p>\n<p dir=\"auto\">\u5728\u8fd9\u4e00\u90e8\u5206\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba Mamba \u7684\u4e24\u4e2a\u4e3b\u8981\u8d21\u732e\uff1a<\/p>\n<ol>\n<li dir=\"auto\">\u4e00\u79cd\u00a0<strong>\u9009\u62e9\u6027\u626b\u63cf\u7b97\u6cd5<\/strong>\uff0c\u5141\u8bb8\u6a21\u578b\u7b5b\u9009\uff08\u4e0d\uff09\u76f8\u5173\u4fe1\u606f<\/li>\n<li dir=\"auto\">\u4e00\u79cd\u00a0<strong>\u786c\u4ef6\u611f\u77e5\u7b97\u6cd5<\/strong>\uff0c\u901a\u8fc7\u00a0<em>\u5e76\u884c\u626b\u63cf<\/em>\u3001<em>\u5185\u6838\u878d\u5408<\/em>\u00a0\u548c\u00a0<em>\u91cd\u65b0\u8ba1\u7b97<\/em>\u00a0\u6765\u9ad8\u6548\u5b58\u50a8\uff08\u4e2d\u95f4\uff09\u7ed3\u679c\u3002<\/li>\n<\/ol>\n<p dir=\"auto\">\u8fd9\u4e24\u8005\u5171\u540c\u521b\u5efa\u4e86\u00a0<em>\u9009\u62e9\u6027\u72b6\u6001\u7a7a\u95f4\u6a21\u578b<\/em>\u00a0\u6216\u00a0<em>S6<\/em>\u00a0\u6a21\u578b\uff0c\u53ef\u4ee5\u50cf\u81ea\u6ce8\u610f\u529b\u4e00\u6837\u7528\u4e8e\u521b\u5efa\u00a0<em>Mamba \u5757<\/em>\u3002<\/p>\n<p dir=\"auto\">\u5728\u63a2\u7d22\u8fd9\u4e24\u4e2a\u4e3b\u8981\u8d21\u732e\u4e4b\u524d\uff0c\u8ba9\u6211\u4eec\u9996\u5148\u63a2\u8ba8\u4e00\u4e0b\u5b83\u4eec\u4e3a\u4f55\u5fc5\u8981\u3002<\/p>\n<h3 dir=\"auto\">\u8bd5\u56fe\u89e3\u51b3\u4ec0\u4e48\u95ee\u9898\uff1f<\/h3>\n<p dir=\"auto\">\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff0c\u751a\u81f3 S4\uff08\u7ed3\u6784\u5316\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff09\uff0c\u5728\u8bed\u8a00\u5efa\u6a21\u548c\u751f\u6210\u4e2d\u67d0\u4e9b\u5173\u952e\u4efb\u52a1\u4e0a\u8868\u73b0\u4e0d\u4f73\uff0c\u5373\u00a0<em>\u5173\u6ce8\u6216\u5ffd\u7565\u7279\u5b9a\u8f93\u5165\u7684\u80fd\u529b<\/em>\u3002<\/p>\n<p dir=\"auto\">\u6211\u4eec\u53ef\u4ee5\u7528\u4e24\u4e2a\u5408\u6210\u4efb\u52a1\u6765\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u5373\u00a0<strong>\u9009\u62e9\u6027\u590d\u5236<\/strong>\u00a0\u548c\u00a0<strong>\u8bf1\u5bfc\u5934<\/strong>\u3002<\/p>\n<p dir=\"auto\">\u5728\u00a0<strong>\u9009\u62e9\u6027\u590d\u5236<\/strong>\u00a0\u4efb\u52a1\u4e2d\uff0cSSM \u7684\u76ee\u6807\u662f\u590d\u5236\u8f93\u5165\u7684\u90e8\u5206\u5e76\u6309\u987a\u5e8f\u8f93\u51fa\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/44dc0418420aef7.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u7136\u800c\uff0c\u7531\u4e8e SSM \u662f\u00a0<em><strong>\u7ebf\u6027\u65f6\u95f4\u4e0d\u53d8<\/strong><\/em><strong>\u7684<\/strong>\uff0c\u5b83\u5728\u8fd9\u4e2a\u4efb\u52a1\u4e0a\u8868\u73b0\u4e0d\u4f73\u3002\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u770b\u5230\u7684\uff0c\u77e9\u9635\u00a0<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u5bf9\u4e8e SSM \u751f\u6210\u7684\u6bcf\u4e2a token \u90fd\u662f\u76f8\u540c\u7684\u3002<\/p>\n<p dir=\"auto\">\u56e0\u6b64\uff0cSSM \u65e0\u6cd5\u6267\u884c\u00a0<em>\u5185\u5bb9\u611f\u77e5\u63a8\u7406<\/em>\uff0c\u56e0\u4e3a\u5b83\u7531\u4e8e\u56fa\u5b9a\u7684 A\u3001B \u548c C \u77e9\u9635\u800c\u5e73\u7b49\u5bf9\u5f85\u6bcf\u4e2a token\u3002\u8fd9\u662f\u4e00\u4e2a\u95ee\u9898\uff0c\u56e0\u4e3a\u6211\u4eec\u5e0c\u671b SSM \u5bf9\u8f93\u5165\uff08\u63d0\u793a\uff09\u8fdb\u884c\u63a8\u7406\u3002<\/p>\n<p dir=\"auto\">SSM \u5728\u53e6\u4e00\u4e2a\u4efb\u52a1\u4e0a\u8868\u73b0\u4e0d\u4f73\uff0c\u5373\u00a0<strong>\u8bf1\u5bfc\u5934<\/strong>\uff0c\u5176\u76ee\u6807\u662f\u91cd\u73b0\u8f93\u5165\u4e2d\u627e\u5230\u7684\u6a21\u5f0f\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/0af6683a2078d40.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u4e0a\u9762\u7684\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u672c\u8d28\u4e0a\u662f\u5728\u8fdb\u884c\u4e00\u6b21\u6027\u63d0\u793a\uff0c\u5176\u4e2d\u6211\u4eec\u5c1d\u8bd5\u201c\u6559\u201d\u6a21\u578b\u5728\u6bcf\u4e2a \u201c<em><strong>Q:<\/strong><\/em>\u201d \u540e\u63d0\u4f9b\u4e00\u4e2a \u201c<em><strong>A:<\/strong><\/em>\u201d \u54cd\u5e94\u3002\u7136\u800c\uff0c\u7531\u4e8e SSM \u662f\u65f6\u95f4\u4e0d\u53d8\u7684\uff0c\u5b83\u65e0\u6cd5\u9009\u62e9\u4ece\u5386\u53f2\u4e2d\u53ec\u56de\u54ea\u4e9b\u5148\u524d\u7684 tokens\u3002<\/p>\n<p dir=\"auto\">\u8ba9\u6211\u4eec\u901a\u8fc7\u5173\u6ce8\u00a0<em>\u77e9\u9635 B<\/em>\u00a0\u6765\u8bf4\u660e\u8fd9\u4e00\u70b9\u3002\u65e0\u8bba\u8f93\u5165\u00a0<em><strong>x<\/strong><\/em>\u00a0\u662f\u4ec0\u4e48\uff0c<em>\u77e9\u9635 B<\/em>\u00a0\u59cb\u7ec8\u4fdd\u6301\u4e0d\u53d8\uff0c\u56e0\u6b64\u4e0e\u00a0<em><strong>x<\/strong><\/em>\u00a0\u65e0\u5173\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/f605af801616279.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u540c\u6837\uff0c<em>A<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u4e5f\u59cb\u7ec8\u4fdd\u6301\u56fa\u5b9a\uff0c\u4e0e\u8f93\u5165\u65e0\u5173\u3002\u8fd9\u8868\u660e\u6211\u4eec\u8fc4\u4eca\u770b\u5230\u7684 SSM \u7684\u00a0<em>\u9759\u6001<\/em>\u00a0\u7279\u6027\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/242be384fc02c8a.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u76f8\u6bd4\u4e4b\u4e0b\uff0c\u8fd9\u4e9b\u4efb\u52a1\u5bf9\u4e8e Transformer \u6765\u8bf4\u76f8\u5bf9\u7b80\u5355\uff0c\u56e0\u4e3a\u5b83\u4eec\u6839\u636e\u8f93\u5165\u5e8f\u5217\u00a0<em>\u52a8\u6001<\/em>\u00a0\u6539\u53d8\u6ce8\u610f\u529b\u3002\u5b83\u4eec\u53ef\u4ee5\u9009\u62e9\u6027\u5730\u201c\u89c2\u5bdf\u201d\u6216\u201c\u5173\u6ce8\u201d\u5e8f\u5217\u7684\u4e0d\u540c\u90e8\u5206\u3002<\/p>\n<p dir=\"auto\">SSM \u5728\u8fd9\u4e9b\u4efb\u52a1\u4e0a\u7684\u8f83\u5dee\u8868\u73b0\u8bf4\u660e\u4e86\u65f6\u95f4\u4e0d\u53d8 SSM \u7684\u6f5c\u5728\u95ee\u9898\uff0c\u77e9\u9635\u00a0<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u7684\u9759\u6001\u7279\u6027\u5bfc\u81f4\u4e86\u00a0<em>\u5185\u5bb9\u611f\u77e5<\/em>\u00a0\u7684\u95ee\u9898\u3002<\/p>\n<h3 dir=\"auto\">\u9009\u62e9\u6027\u4fdd\u7559\u4fe1\u606f<\/h3>\n<p dir=\"auto\">SSM \u7684\u9012\u5f52\u8868\u793a\u521b\u5efa\u4e86\u4e00\u4e2a\u8f83\u5c0f\u7684\u72b6\u6001\uff0c\u8fd9\u79cd\u72b6\u6001\u975e\u5e38\u9ad8\u6548\uff0c\u56e0\u4e3a\u5b83\u538b\u7f29\u4e86\u6574\u4e2a\u5386\u53f2\u3002\u7136\u800c\uff0c\u4e0e Transformer \u6a21\u578b\u76f8\u6bd4\uff0cTransformer \u6a21\u578b\u4e0d\u4f1a\u5bf9\u5386\u53f2\u8fdb\u884c\u538b\u7f29\uff08\u901a\u8fc7\u6ce8\u610f\u529b\u77e9\u9635\uff09\uff0c\u56e0\u6b64\u5b83\u7684\u80fd\u529b\u66f4\u5f3a\u3002<\/p>\n<p dir=\"auto\">Mamba \u65e8\u5728\u517c\u5177\u4e24\u8005\u7684\u4f18\u52bf\u3002\u4e00\u4e2a\u4e0e Transformer \u72b6\u6001\u4e00\u6837\u5f3a\u5927\u7684\u5c0f\u72b6\u6001\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/d947bf04d8af425.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5982\u4e0a\u6240\u8ff0\uff0c\u5b83\u901a\u8fc7\u9009\u62e9\u6027\u5730\u5c06\u6570\u636e\u538b\u7f29\u5230\u72b6\u6001\u4e2d\u6765\u5b9e\u73b0\u3002\u5f53\u4f60\u6709\u4e00\u4e2a\u8f93\u5165\u53e5\u5b50\u65f6\uff0c\u901a\u5e38\u4f1a\u6709\u4e00\u4e9b\u4fe1\u606f\uff0c\u4f8b\u5982\u505c\u7528\u8bcd\uff0c\u6ca1\u6709\u592a\u591a\u610f\u4e49\u3002<\/p>\n<p dir=\"auto\">\u4e3a\u4e86\u9009\u62e9\u6027\u5730\u538b\u7f29\u4fe1\u606f\uff0c\u6211\u4eec\u9700\u8981\u53c2\u6570\u4f9d\u8d56\u4e8e\u8f93\u5165\u3002\u4e3a\u6b64\uff0c\u8ba9\u6211\u4eec\u9996\u5148\u63a2\u7d22 SSM \u5728\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\u8f93\u5165\u548c\u8f93\u51fa\u7684\u7ef4\u5ea6\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/e48f4e551451363.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u7ed3\u6784\u5316\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff08S4\uff09\u4e2d\uff0c\u77e9\u9635\u00a0<em>A<\/em>\u3001<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u4e0e\u8f93\u5165\u65e0\u5173\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u7ef4\u5ea6\u00a0<em><strong>N<\/strong><\/em>\u00a0\u548c\u00a0<em><strong>D<\/strong><\/em>\u00a0\u662f\u9759\u6001\u7684\uff0c\u4e0d\u4f1a\u6539\u53d8\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/7216955b512db2e.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u76f8\u53cd\uff0cMamba \u901a\u8fc7\u7ed3\u5408\u8f93\u5165\u7684\u5e8f\u5217\u957f\u5ea6\u548c\u6279\u91cf\u5927\u5c0f\uff0c\u4f7f\u77e9\u9635\u00a0<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\uff0c\u751a\u81f3\u00a0<em>\u6b65\u957f<\/em>\u00a0<strong>\u2206<\/strong>_\uff0c\u4f9d\u8d56\u4e8e\u8f93\u5165\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/e6271c023033836.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u8fd9\u610f\u5473\u7740\u5bf9\u4e8e\u6bcf\u4e2a\u8f93\u5165 token\uff0c\u6211\u4eec\u73b0\u5728\u6709\u4e0d\u540c\u7684\u00a0<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u77e9\u9635\uff0c\u8fd9\u89e3\u51b3\u4e86\u5185\u5bb9\u611f\u77e5\u7684\u95ee\u9898\uff01<\/p>\n<p><strong>\u6ce8\u610f<\/strong>\uff1a\u77e9\u9635\u00a0<em>A<\/em>\u00a0\u4fdd\u6301\u4e0d\u53d8\uff0c\u56e0\u4e3a\u6211\u4eec\u5e0c\u671b\u72b6\u6001\u672c\u8eab\u4fdd\u6301\u9759\u6001\uff0c\u4f46\u5b83\u7684\u5f71\u54cd\u65b9\u5f0f\uff08\u901a\u8fc7\u00a0<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\uff09\u662f\u52a8\u6001\u7684\u3002<\/p>\n<p dir=\"auto\">\u5b83\u4eec\u5171\u540c\u00a0<em>\u9009\u62e9\u6027\u5730<\/em>\u00a0\u9009\u62e9\u4fdd\u7559\u5728\u9690\u85cf\u72b6\u6001\u4e2d\u7684\u5185\u5bb9\u548c\u5ffd\u7565\u7684\u5185\u5bb9\uff0c\u56e0\u4e3a\u5b83\u4eec\u73b0\u5728\u4f9d\u8d56\u4e8e\u8f93\u5165\u3002<\/p>\n<p dir=\"auto\">\u8f83\u5c0f\u7684\u00a0<em>\u6b65\u957f<\/em>\u00a0<strong>\u2206<\/strong>\u00a0\u5bfc\u81f4\u5ffd\u7565\u7279\u5b9a\u7684\u8bcd\u6c47\uff0c\u800c\u66f4\u591a\u5730\u4f7f\u7528\u4e4b\u524d\u7684\u4e0a\u4e0b\u6587\uff0c\u800c\u8f83\u5927\u7684\u00a0<em>\u6b65\u957f<\/em>\u00a0<strong>\u2206<\/strong>\u00a0\u5219\u66f4\u52a0\u5173\u6ce8\u8f93\u5165\u8bcd\u6c47\uff0c\u800c\u4e0d\u662f\u4e0a\u4e0b\u6587\uff1a<\/p>\n<p>&nbsp;<\/p>\n<h3 dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/0f2b352c6cd70eb.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u626b\u63cf\u64cd\u4f5c<\/h3>\n<p dir=\"auto\">\u7531\u4e8e\u8fd9\u4e9b\u77e9\u9635\u73b0\u5728\u662f\u00a0<em>\u52a8\u6001<\/em>\u00a0\u7684\uff0c\u5b83\u4eec\u4e0d\u80fd\u4f7f\u7528\u5377\u79ef\u8868\u793a\u8fdb\u884c\u8ba1\u7b97\uff0c\u56e0\u4e3a\u5377\u79ef\u8868\u793a\u5047\u8bbe\u4e00\u4e2a\u00a0<em>\u56fa\u5b9a<\/em>\u00a0\u7684\u5377\u79ef\u6838\u3002\u6211\u4eec\u53ea\u80fd\u4f7f\u7528\u9012\u5f52\u8868\u793a\uff0c\u8fd9\u6837\u5c31\u5931\u53bb\u4e86\u5377\u79ef\u63d0\u4f9b\u7684\u5e76\u884c\u5316\u4f18\u52bf\u3002<\/p>\n<p dir=\"auto\">\u4e3a\u4e86\u5b9e\u73b0\u5e76\u884c\u5316\uff0c\u8ba9\u6211\u4eec\u63a2\u7d22\u5982\u4f55\u4f7f\u7528\u9012\u5f52\u8ba1\u7b97\u8f93\u51fa\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/802df05a229234d.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6bcf\u4e2a\u72b6\u6001\u90fd\u662f\u524d\u4e00\u4e2a\u72b6\u6001\uff08\u4e58\u4ee5\u00a0<em>A<\/em>\uff09\u4e0e\u5f53\u524d\u8f93\u5165\uff08\u4e58\u4ee5\u00a0<em>B<\/em>\uff09\u7684\u548c\u3002\u8fd9\u88ab\u79f0\u4e3a\u00a0<em>\u626b\u63cf\u64cd\u4f5c<\/em>\uff0c\u53ef\u4ee5\u901a\u8fc7 for \u5faa\u73af\u8f7b\u677e\u8ba1\u7b97\u3002<\/p>\n<p dir=\"auto\">\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5e76\u884c\u5316\u4f3c\u4e4e\u662f\u4e0d\u53ef\u80fd\u7684\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u72b6\u6001\u53ea\u80fd\u5728\u6709\u4e86\u524d\u4e00\u4e2a\u72b6\u6001\u4e4b\u540e\u624d\u53ef\u4ee5\u8ba1\u7b97\u3002\u7136\u800c\uff0cMamba \u901a\u8fc7\u00a0<em><a href=\"https:\/\/developer.nvidia.com\/gpugems\/gpugems3\/part-vi-gpu-computing\/chapter-39-parallel-prefix-sum-scan-cuda\" target=\"_blank\" rel=\"noopener\" aria-label=\"https:\/\/developer.nvidia.com\/gpugems\/gpugems3\/part-vi-gpu-computing\/chapter-39-parallel-prefix-sum-scan-cuda\">\u5e76\u884c\u626b\u63cf<\/a><\/em>\u00a0\u7b97\u6cd5\u4f7f\u8fd9\u4e00\u70b9\u6210\u4e3a\u53ef\u80fd\u3002<\/p>\n<p dir=\"auto\">\u5b83\u5047\u8bbe\u6211\u4eec\u8fdb\u884c\u64cd\u4f5c\u7684\u987a\u5e8f\u4e0d\u91cd\u8981\uff0c\u5229\u7528\u4e86\u7ed3\u5408\u5f8b\u7684\u5c5e\u6027\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5e8f\u5217\u5206\u6210\u82e5\u5e72\u90e8\u5206\u8fdb\u884c\u8ba1\u7b97\uff0c\u7136\u540e\u8fed\u4ee3\u5730\u5c06\u5b83\u4eec\u7ec4\u5408\u8d77\u6765\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/9e383524b613b98.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u52a8\u6001\u77e9\u9635\u00a0<em>B<\/em>\u00a0\u548c\u00a0<em>C<\/em>\u00a0\u4ee5\u53ca\u5e76\u884c\u626b\u63cf\u7b97\u6cd5\u5171\u540c\u521b\u9020\u4e86\u00a0<em><strong>\u9009\u62e9\u6027\u626b\u63cf\u7b97\u6cd5<\/strong><\/em>\uff0c\u4ee5\u8868\u793a\u4f7f\u7528\u9012\u5f52\u8868\u793a\u7684\u52a8\u6001\u548c\u5feb\u901f\u7279\u6027\u3002<\/p>\n<h3 dir=\"auto\">\u786c\u4ef6\u611f\u77e5\u7b97\u6cd5<\/h3>\n<p dir=\"auto\">\u6700\u8fd1\u7684 GPU \u7684\u4e00\u4e2a\u7f3a\u70b9\u662f\u5b83\u4eec\u7684\u5c0f\u578b\u4f46\u9ad8\u6548\u7684 SRAM \u4e0e\u5927\u578b\u4f46\u7a0d\u5fae\u4e0d\u90a3\u4e48\u9ad8\u6548\u7684 DRAM \u4e4b\u95f4\u7684\u4f20\u8f93\uff08IO\uff09\u901f\u5ea6\u6709\u9650\u3002\u9891\u7e41\u5730\u5728 SRAM \u548c DRAM \u4e4b\u95f4\u590d\u5236\u4fe1\u606f\u4f1a\u6210\u4e3a\u74f6\u9888\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/59047ee297b58d9.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> Mamba \u7c7b\u4f3c\u4e8e Flash Attention\uff0c\u8bd5\u56fe\u9650\u5236\u4ece DRAM \u5230 SRAM \u53ca\u53cd\u5411\u7684\u6b21\u6570\u3002\u5b83\u901a\u8fc7\u00a0<em>kernel fusion<\/em>\u00a0\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u5141\u8bb8\u6a21\u578b\u9632\u6b62\u5199\u5165\u4e2d\u95f4\u7ed3\u679c\uff0c\u5e76\u6301\u7eed\u6267\u884c\u8ba1\u7b97\u76f4\u5230\u5b8c\u6210\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/7b982a9806e307c.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u53ef\u89c6\u5316 Mamba \u7684\u57fa\u672c\u67b6\u6784\u6765\u67e5\u770b DRAM \u548c SRAM \u5206\u914d\u7684\u5177\u4f53\u5b9e\u4f8b\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/4c0d13db710ffd4.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5728\u8fd9\u91cc\uff0c\u4ee5\u4e0b\u5185\u5bb9\u88ab\u878d\u5408\u6210\u4e00\u4e2a\u5185\u6838\uff1a<\/p>\n<ul>\n<li dir=\"auto\">\u79bb\u6563\u5316\u6b65\u9aa4\u4e0e\u00a0<em>step size<\/em>\u00a0<strong>\u2206<\/strong><\/li>\n<li dir=\"auto\">\u9009\u62e9\u6027\u626b\u63cf\u7b97\u6cd5<\/li>\n<li dir=\"auto\">\u4e0e\u00a0<em>C<\/em>\u00a0\u7684\u4e58\u6cd5<\/li>\n<\/ul>\n<p dir=\"auto\">\u786c\u4ef6\u611f\u77e5\u7b97\u6cd5\u7684\u6700\u540e\u4e00\u90e8\u5206\u662f\u00a0<em>recomputation<\/em>\u3002<\/p>\n<p dir=\"auto\">\u4e2d\u95f4\u72b6\u6001\u4e0d\u4f1a\u88ab\u4fdd\u5b58\uff0c\u4f46\u5728\u53cd\u5411\u4f20\u9012\u4e2d\u8ba1\u7b97\u68af\u5ea6\u65f6\u662f\u5fc5\u8981\u7684\u3002\u76f8\u53cd\uff0c\u4f5c\u8005\u5728\u53cd\u5411\u4f20\u9012\u671f\u95f4\u91cd\u65b0\u8ba1\u7b97\u8fd9\u4e9b\u4e2d\u95f4\u72b6\u6001\u3002<\/p>\n<p dir=\"auto\">\u5c3d\u7ba1\u8fd9\u770b\u8d77\u6765\u53ef\u80fd\u6548\u7387\u4f4e\u4e0b\uff0c\u4f46\u6bd4\u4ece\u76f8\u5bf9\u8f83\u6162\u7684 DRAM \u4e2d\u8bfb\u53d6\u6240\u6709\u8fd9\u4e9b\u4e2d\u95f4\u72b6\u6001\u8981\u4fbf\u5b9c\u5f97\u591a\u3002<\/p>\n<p dir=\"auto\">\u6211\u4eec\u73b0\u5728\u5df2\u7ecf\u6db5\u76d6\u4e86\u5176\u67b6\u6784\u7684\u6240\u6709\u7ec4\u4ef6\uff0c\u8be5\u67b6\u6784\u5728\u5176\u6587\u7ae0\u4e2d\u7684\u56fe\u50cf\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><strong> <img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/6b339e109eaa132.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u9009\u62e9\u6027 SSM\u3002<\/strong>\u00a0\u53d6\u81ea\uff1aGu, Albert \u548c Tri Dao. \u201cMamba: \u5177\u6709\u9009\u62e9\u6027\u72b6\u6001\u7a7a\u95f4\u7684\u7ebf\u6027\u65f6\u95f4\u5e8f\u5217\u5efa\u6a21\u3002\u201d\u00a0<em>arXiv \u9884\u5370\u672c arXiv:2312.00752<\/em>\u00a0(2023)\u3002<\/p>\n<p dir=\"auto\">\u8fd9\u4e2a\u67b6\u6784\u901a\u5e38\u88ab\u79f0\u4e3a\u00a0<em><strong>\u9009\u62e9\u6027 SSM<\/strong><\/em>\u00a0\u6216\u00a0<em><strong>S6<\/strong><\/em>\u00a0\u6a21\u578b\uff0c\u56e0\u4e3a\u5b83\u672c\u8d28\u4e0a\u662f\u4f7f\u7528\u9009\u62e9\u6027\u626b\u63cf\u7b97\u6cd5\u8ba1\u7b97\u7684 S4 \u6a21\u578b\u3002<\/p>\n<h3 dir=\"auto\">Mamba \u6a21\u5757<\/h3>\n<p dir=\"auto\">\u6211\u4eec\u8fc4\u4eca\u4e3a\u6b62\u63a2\u7d22\u7684\u00a0<em>\u9009\u62e9\u6027 SSM<\/em>\u00a0\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u4e2a\u6a21\u5757\u8fdb\u884c\u5b9e\u73b0\uff0c\u5c31\u50cf\u6211\u4eec\u53ef\u4ee5\u5728\u89e3\u7801\u5668\u6a21\u5757\u4e2d\u8868\u793a\u81ea\u6ce8\u610f\u529b\u4e00\u6837\u3002<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/a09cd1059924b3f.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u50cf\u89e3\u7801\u5668\u4e00\u6837\uff0c\u6211\u4eec\u53ef\u4ee5\u5806\u53e0\u591a\u4e2a Mamba \u6a21\u5757\uff0c\u5e76\u5c06\u5b83\u4eec\u7684\u8f93\u51fa\u4f5c\u4e3a\u4e0b\u4e00\u4e2a Mamba \u6a21\u5757\u7684\u8f93\u5165\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/39ac43715309f92.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u5b83\u4ee5\u7ebf\u6027\u6295\u5f71\u5f00\u59cb\uff0c\u4ee5\u6269\u5c55\u8f93\u5165\u5d4c\u5165\u3002\u7136\u540e\uff0c\u5728\u00a0<em>\u9009\u62e9\u6027 SSM<\/em>\u00a0\u4e4b\u524d\u5e94\u7528\u5377\u79ef\uff0c\u4ee5\u9632\u6b62\u72ec\u7acb\u7684 token \u8ba1\u7b97\u3002<\/p>\n<p dir=\"auto\"><em>\u9009\u62e9\u6027 SSM<\/em>\u00a0\u5177\u6709\u4ee5\u4e0b\u7279\u6027\uff1a<\/p>\n<ul>\n<li dir=\"auto\">\u901a\u8fc7\u00a0<em>\u79bb\u6563\u5316<\/em>\u00a0\u521b\u5efa\u7684\u00a0<em>\u9012\u5f52 SSM<\/em><\/li>\n<li dir=\"auto\">\u5728\u77e9\u9635\u00a0<em>A<\/em>\u00a0\u4e0a\u8fdb\u884c\u00a0<em>HiPPO<\/em>\u00a0\u521d\u59cb\u5316\uff0c\u4ee5\u6355\u6349\u00a0<em>\u957f\u7a0b\u4f9d\u8d56\u6027<\/em><\/li>\n<li dir=\"auto\"><em>\u9009\u62e9\u6027\u626b\u63cf\u7b97\u6cd5<\/em>\u00a0\u4ee5\u9009\u62e9\u6027\u5730\u538b\u7f29\u4fe1\u606f<\/li>\n<li dir=\"auto\"><em>\u786c\u4ef6\u611f\u77e5\u7b97\u6cd5<\/em>\u00a0\u4ee5\u52a0\u5feb\u8ba1\u7b97\u901f\u5ea6<\/li>\n<\/ul>\n<p dir=\"auto\">\u5f53\u6211\u4eec\u67e5\u770b\u4ee3\u7801\u5b9e\u73b0\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u5bf9\u8fd9\u4e2a\u67b6\u6784\u8fdb\u884c\u66f4\u591a\u6269\u5c55\uff0c\u5e76\u63a2\u7d22\u4e00\u4e2a\u7aef\u5230\u7aef\u7684\u793a\u4f8b\u4f1a\u662f\u4ec0\u4e48\u6837\u7684\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/1a09b6bb0329710.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/> \u6ce8\u610f\u4e00\u4e9b\u53d8\u5316\uff0c\u4f8b\u5982\u589e\u52a0\u4e86\u5f52\u4e00\u5316\u5c42\u548c\u7528\u4e8e\u9009\u62e9\u8f93\u51fa token \u7684 softmax\u3002<\/p>\n<p dir=\"auto\">\u5f53\u6211\u4eec\u5c06\u6240\u6709\u5185\u5bb9\u6574\u5408\u5728\u4e00\u8d77\u65f6\uff0c\u6211\u4eec\u5f97\u5230\u4e86\u5feb\u901f\u7684\u63a8\u7406\u548c\u8bad\u7ec3\uff0c\u751a\u81f3\u662f\u65e0\u9650\u4e0a\u4e0b\u6587\u3002\u4f7f\u7528\u8fd9\u79cd\u67b6\u6784\uff0c\u4f5c\u8005\u53d1\u73b0\u5176\u6027\u80fd\u4e0e\u540c\u7b49\u5927\u5c0f\u7684 Transformer \u6a21\u578b\u76f8\u5339\u914d\uff0c\u6709\u65f6\u751a\u81f3\u8d85\u8fc7\uff01<\/p>\n<h3 dir=\"auto\"><strong>\u7ed3\u8bba<\/strong><\/h3>\n<p dir=\"auto\">\u8fd9\u5c31\u7ed3\u675f\u4e86\u6211\u4eec\u5bf9\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u548c\u4ee4\u4eba\u96be\u4ee5\u7f6e\u4fe1\u7684 Mamba \u67b6\u6784\u4f7f\u7528\u9009\u62e9\u6027\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u7684\u63a2\u7d22\u3002\u5e0c\u671b\u8fd9\u7bc7\u6587\u7ae0\u80fd\u8ba9\u4f60\u66f4\u597d\u5730\u7406\u89e3\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\uff0c\u7279\u522b\u662f Mamba\u3002\u8c01\u77e5\u9053\u8fd9\u662f\u5426\u4f1a\u53d6\u4ee3 Transformers\uff0c\u4f46\u73b0\u5728\uff0c\u770b\u5230\u5982\u6b64\u4e0d\u540c\u7684\u67b6\u6784\u83b7\u5f97\u5e94\u6709\u7684\u5173\u6ce8\u771f\u662f\u4ee4\u4eba\u60ca\u53f9\uff01<\/p>\n<p dir=\"auto\">\u8981\u67e5\u770b\u66f4\u591a\u4e0e\u5927\u8bed\u8a00\u6a21\u578b\u76f8\u5173\u7684\u53ef\u89c6\u5316\u5185\u5bb9\u5e76\u652f\u6301\u8fd9\u4efd\u901a\u8baf\uff0c\u8bf7\u67e5\u770b\u6211\u4e0e Jay Alammar \u5408\u8457\u7684\u4e66\u7c4d\u3002<\/p>\n<p dir=\"auto\"><img decoding=\"async\" title=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/09\/4c3feb70fbbeaf7.jpg\" alt=\"\u56de\u987eTransformer\u539f\u7406\uff0c\u5e76\u6df1\u5165\u8bb2\u89e3\u5e73\u63d0\u65b9\u6848Mamba-1\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u79cd\u8bed\u8a00\u5efa\u6a21\u4e2d Transformer \u7684\u66ff\u4ee3\u65b9\u6848 Transformer \u67b6\u6784\u662f\u5927\u8bed\u8a00\u6a21\u578b\uff08LLMs\uff09\u6210\u529f\u7684\u5173\u952e\u7ec4\u6210\u90e8\u5206\u3002\u51e0\u4e4e\u6240\u6709\u4eca\u5929\u4f7f\u7528\u7684\u5927\u8bed\u8a00\u6a21\u578b\u90fd\u91c7\u7528\u4e86\u8be5\u67b6\u6784\uff0c\u4ece\u5f00\u6e90\u6a21\u578b\u5982 Mistral \u5230\u95ed\u6e90\u6a21\u578b\u5982 ChatGPT\u3002 \u4e3a\u4e86\u8fdb\u4e00\u6b65&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34],"tags":[],"class_list":["post-6187","post","type-post","status-publish","format-standard","hentry","category-knowledge"],"_links":{"self":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/posts\/6187","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/comments?post=6187"}],"version-history":[{"count":0,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/posts\/6187\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/media?parent=6187"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/categories?post=6187"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/tags?post=6187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}