{"id":15505,"date":"2024-06-27T19:47:52","date_gmt":"2024-06-27T11:47:52","guid":{"rendered":"http:\/\/139.9.1.231\/?p=15505"},"modified":"2024-06-27T19:53:05","modified_gmt":"2024-06-27T11:53:05","slug":"mamba","status":"publish","type":"post","link":"http:\/\/139.9.1.231\/index.php\/2024\/06\/27\/mamba\/","title":{"rendered":"Mamba\u6a21\u578b\u89e3\u8bfb"},"content":{"rendered":"\n<p class=\"has-dark-gray-color has-bright-blue-background-color has-text-color has-background\">\u8bba\u6587\u5730\u5740\uff1a <a href=\"https:\/\/arxiv.org\/abs\/2312.00752\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2312.00752\">Mamba: Linear-Time Sequence Modeling with Selective State Spaces<\/a>                                               <\/p>\n\n\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"269\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-1024x269.png\" alt=\"\" class=\"wp-image-15510\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-1024x269.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-300x79.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-768x202.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image.png 1373w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-light-pink-background-color has-background\">\u4ee3\u7801\uff1a https:\/\/github.com\/state-spaces\/mamba<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">     \u5929\u4e0b\u82e6 Transformer \u4e45\u77e3!\u6574\u65747\u5e74\u4e86\uff0c\u4e00\u4e2a\u7406\u8bba\u4e0a\u4e00\u70b9\u4e5f\u4e0d\u6f02\u4eae\uff0c\u7eaf\u7cb9\u9760\u7740\u6a21\u578b\u5806\u780c\u548c\u5de5\u7a0b\u4e0a\u7684\u5927\u529b\u51fa\u5947\u8ff9\uff0c\u7edf\u6cbb\u4e86\u6574\u4e2aNLP \u9886\u57df\u548c\u5982\u4eca\u5927\u6a21\u578b\u7684\u53d1\u5c55\u3002\u7136\u800c\uff0c\u5b83\u7684\u5c40\u9650\u6027\u65e5\u76ca\u51f8\u663e\uff0c\u8ba1\u7b97\u91cf\u7684\u5e9e\u5927\uff0c\u6570\u636e\u548c\u7b97\u529b\u9700\u6c42\u8d8a\u6765\u8d8a\u8ba9\u51e1\u4eba\u4ef0\u671b\u3002\u4ff1\u5f80\u77e3\uff0c\u6570\u98ce\u6d41\u4eba\u7269\uff0c\u8fd8\u770b\u4eca\u671d\u3002Mamba \u6a21\u578b\u7684\u7834\u571f\u800c\u51fa\uff0c\u8ba9\u6211\u4eec\u770b\u5230\u4e86\u7ed3\u675f\u8fd9\u4e00\u5207\u7684\u66d9\u5149\uff0c\u4e5f\u662f\u4e3a\u4ec0\u4e48\u5f15\u8d77 A1 \u754c\u5e7f\u6cdb\u5174\u594b\u7684\u539f\u56e0\uff0c\u5c24\u5176\u662f\u5b83\u56de\u5f52\u65f6\u7a7a\u5e8f\u5217\u5efa\u6a21\uff0c\u4ece\u4e2d\u5bfb\u627e\u7075\u611f\u5e76\u5c06\u5176\u4e0e\u65b0\u578b\u6ce8\u610f\u529b\u673a\u5236\u7ed3\u5408\u7684\u601d\u8def\u5f88\u6709\u542f\u53d1\u3002\n    \u539f\u6587\u8f83\u4e3a\u6666\u6da9\uff0c\u7f51\u4e0a\u6280\u672f\u6587\u7ae0\u867d\u7136\u4e0d\u5c11\uff0c\u4f46\u4e00\u65b9\u9762\u5199\u6587\u7ae0\u7684\u4eba\u7167\u672c\u5ba3\u79d1\u5ff5\u7ecf\u7684\u6bd4\u8f83\u591a\uff0c\u81ea\u5df1\u538b\u6839\u6ca1\u61c2\uff0c\u5bfc\u81f4\u8bfb\u7684\u4eba\u53cd\u800c\u6000\u7591\u81ea\u5df1\u7684\u667a\u5546;\u53e6\u4e00\u65b9\u9762\u770b\u5230\u7f51\u4e0a\u5f88\u591a\u5403\u74dc\u7fa4\u4f17\u8ddf\u7740\u778e\u8d77\u54c4What l can say, Mamba out!\u4f60\u8fde\u5b83\u662f\u5565\u90fd\u4e0d\u77e5\u9053\uff0c\u5634\u90fd\u6ca1\u4eb2\u4e00\u4e0b\uff0c\u5c31 OUTOUT \u5565?<\/pre>\n\n\n\n<p>        \u5b83\u5176\u5b9e\u662f\u7528\u4e00\u4e2a\u674e\u6307\u6570\u6620\u5c04\u4ee3\u66ff\u4e86 Transformer \u7684\u975e\u7ebf\u6027\u72b6\u6001\u65b9\u7a0b\u3002\u4f30\u8ba1\u5927\u90e8\u5206\u4eba\u8fde\u5565\u662f\u201c\u674e\u6307\u6570\u201d\u90fd\u6ca1\u542c\u8bf4\u8fc7\u3002\u90a3\u8fd9\u4e2a\u6a21\u578b\u5230\u5e95\u662f\u4ec0\u4e48\u6765\u5934?\u51ed\u4ec0\u4e48\u80fd\u5bf9transformer \u7684\u6c5f\u6e56\u5730\u4f4d\u5f62\u6210\u6311\u6218?\u539f\u7406\u662f\u4ec0\u4e48\uff0c\u4e0e RNN \u7b49\u6a21\u578b\u7684\u8054\u7cfb\u662f\u90a3\u4e9b?\u4e3a\u4ec0\u4e48\u8bf4\u5b83\u662f\u7528\u6d41\u4f53\u529b\u5b66\u7684\u601d\u60f3\u6307\u5bfc\u4e86\u65f6\u5e8f\u5efa\u6a21?\u725b\u903c\u4e4b\u5904\u548c\u672a\u6765\u53d1\u5c55\u7684\u770b\u70b9\u5728\u54ea\u91cc?\u5b50\u65e5:\u77e5\u4e4b\u4e3a\u77e5\u4e4b\uff0c\u4e0d\u77e5\u4e3a\u4e0d\u77e5\uff0c\u662f\u77e5\u4e5f\u3002<br><br>         \u9996\u5148\u6211\u4eec\u5feb\u901f\u56de\u987e\u4e00\u4e0b transformer \u7684\u672c\u8d28\u7f3a\u9677\u3002\u7136\u540e\u4ece\u4f20\u7edf\u7684\u5e8f\u5217\u6570\u636e\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u8bb2\u8d77\u8865\u5145\u6240\u9700\u7684\u77e5\u8bc6\u3002\u63a5\u7740\u91cd\u70b9\u8bb2\u89e3 Mamba \u6a21\u578b\u7684\u6838\u5fc3\u539f\u7406\u3001\u6280\u672f\u7ec6\u8282\u548c\u771f\u6b63\u7cbe\u9ad3\u3002\u7136\u540e\u901a\u8fc7\u5b9e\u9a8c\u4f53\u4f1a\u5b83\u7684\u725b\u903c\u6548\u679c\u4ee5\u53ca\u4ee3\u7801\u5b9e\u73b0\u3002\u6700\u540e\u662f\u603b\u7ed3\u548c\u5c55\u671b\u3002<\/p>\n\n\n\n<h2>\u4e00\u3001Transformer \u7684\u6b7b\u7a74<\/h2>\n\n\n\n<p>         Transformer \u7ed3\u6784\u7684\u6838\u5fc3\u662f\u81ea\u6ce8\u610f\u529b\u673a\u5236\u5c42\uff0c\u752d\u7ba1\u662fencoder\uff0c\u8fd8\u662f decoder\uff0c\u5e8f\u5217\u6570\u636e\u90fd\u5148\u7ecf\u8fc7\u4f4d\u7f6e\u7f16\u7801\u540e\u5582\u7ed9\u8fd9\u4e2a\u6a21\u5757\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"942\" height=\"564\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719216749313.png\" alt=\"\" class=\"wp-image-15526\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719216749313.png 942w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719216749313-300x180.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719216749313-768x460.png 768w\" sizes=\"(max-width: 942px) 100vw, 942px\" \/><\/figure>\n\n\n\n<p>        \u8fd9\u91cc\u6709\u4e2a\u5929\u7136\u7684\u7f3a\u9677\uff0c\u5c31\u662f\u81ea\u6ce8\u610f\u529b\u673a\u5236\u7684\u8ba1\u7b97\u8303\u56f4\u4ec5\u9650\u4e8e\u7a97\u53e3\u5185\uff0c\u800c\u65e0\u6cd5\u76f4\u63a5\u5904\u7406\u7a97\u53e3\u5916\u7684\u5143\u7d20\u3002\u50cf\u6781\u4e86\u53e4\u8bed\u6240\u8bf4:\u4e24\u8033\u4e0d\u95fb\u7a97\u5916\u4e8b\uff0c\u4e00\u5fc3\u53ea\u8bfb\u5723\u8d24\u4e66\u3002\u67d0\u79cd\u7a0b\u5ea6\u4e0a\u9020\u6210\u89c6\u91ce\u72ed\u7a84\uff0c\u4fe1\u606f\u5b64\u7acb\uff0c\u7f3a\u4e4f\u5168\u5c40\u89c2\u4e00\u6837\uff0c\u8fd9\u79cd\u673a\u5236\u65e0\u6cd5\u5efa\u6a21\u8d85\u51fa\u6709\u9650\u7a97\u53e3\u7684\u4efb\u4f55\u5185\u5bb9\uff0c\u770b\u4e0d\u5230\u66f4\u957f\u5e8f\u5217\u7684\u4e16\u754c\u3002<br>        \u4e8e\u662f\u6709\u4eba\u8bf4\u4e86\uff0c\u90a3\u589e\u52a0\u7a97\u53e3\u957f\u5ea6\u4e0d\u5c31\u884c\u4e86\uff0c\u6ca1\u6bdb\u75c5\uff0c\u7406\u8bba\u4e0a\u53ef\u884c\u3002\u4f46\u5bf9\u4e0d\u8d77\uff0c\u8fd9\u6837\u4f1a\u5bfc\u81f4\u8ba1\u7b97\u590d\u6742\u5ea6\u968f\u7740\u7a97\u53e3\u957f\u5ea6\u7684\u589e\u52a0\u5448\u5e73\u65b9\u589e\u957f0(n^2)\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u4f4d\u7f6e\u7684\u8ba1\u7b97\u90fd\u9700\u8981\u4e0e\u7a97\u53e3\u5185\u7684\u6240\u6709\u5176\u4ed6\u4f4d\u7f6e\u8fdb\u884c\u6bd4\u8f83\uff0c\u5982\u53f3\u56fe\u6240\u793a\u3002<\/p>\n\n\n\n<p>       \u672c\u8d28\u4e0a\u8bf4\uff0c\u5b83\u8fd9\u662f\u901a\u8fc7\u4f4d\u7f6e\u7f16\u7801\uff0c\u628a\u5e8f\u5217\u6570\u636e\u7a7a\u95f4\u5316\uff0c\u7136\u540e\u901a\u8fc7\u8ba1\u7b97\u7a7a\u95f4\u76f8\u5173\u5ea6\u53cd\u5411\u5efa\u6a21\u65f6\u5e8f\u76f8\u5173\u5ea6\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\u5ffd\u89c6\u4e86\u6570\u636e\u5185\u5728\u7ed3\u6784\u7684\u7ec6\u817b\u5173\u8054\u5173\u7cfb\uff0c\u800c\u662f\u91c7\u53d6\u4e86\u4e00\u79cd\u4e00\u89c6\u540c\u4ec1\u7684\u66b4\u529b\u5173\u8054\u6a21\u5f0f\uff0c\u597d\u5904\u662f\u76f4\u63a5\u7b80\u5355\uff0c\u4f46\u663e\u7136\u53c2\u6570\u6548\u7387\u4f4e\u4e0b\uff0c\u5144\u4f59\u5ea6\u9ad8\uff0c\u8bad\u7ec3\u8d77\u6765\u4e0d\u6613\u3002\u90a3\u600e\u4e48\u529e\u5462?\u4fd7\u8bdd\u8bf4:\u9b54\u9b3c\u7684\u5f52\u9b54\u9b3c\uff0c\u5929\u4f7f\u7684\u5f52\u5929\u4f7f\u3002\u660e\u660e\u662f\u65f6\u5e8f\u6570\u636e\uff0c\u975e\u8981\u7528\u7a7a\u95f4\u5316\u5b9e\u73b0\u6ce8\u610f\u529b\u673a\u5236\u3002\u8fd9\u5728\u5f53\u5e74\u662f\u4e3a\u4e86\u5145\u5206\u5229\u7528 GPU\u7684\u5e76\u884c\u80fd\u529b\uff0c\u975e\u5e38\u6709\u6548\uff0c\u4f46\u5e76\u4e0d\u662f\u4e07\u80fd\u7684\u3002\u672c\u8d28\u4e0a\u8bf4\u8fd8\u662f\u6709\u95ee\u9898\u7684\u3002<strong>\u8ba9\u957f\u5e8f\u5217\u6570\u636e\u5efa\u6a21\u56de\u5f52\u4f20\u7edf\uff0c\u67d0\u79cd\u7a0b\u5ea6\u4e0a\u8bf4\uff0c\u8fd9\u662f\u6574\u4e2aSSM \u7c7b\u6a21\u578b\u601d\u8003\u95ee\u9898\u7684\u521d\u8877\u548c\u89c6\u89d2\u3002\u800c mamba \u662f\u5176\u4e2d\u7684\u4f7c\u4f7c\u8005\u3002\u56e0\u6b64\uff0c\u54b1\u4eec\u5148\u4ece\u65f6\u5e8f\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u5f00\u59cb\u8bb2\u8d77\u3002<\/strong><\/p>\n\n\n\n<h2>\u4e8c\u3001\u65f6\u5e8f\u72b6\u6001\u7a7a\u95f4\u6a21\u578b SSM<\/h2>\n\n\n\n<p>         Mamba\u662f\u57fa\u4e8e\u7ed3\u6784\u5316<strong>\u72b6\u6001\u7a7a\u95f4\u5e8f\u5217\u6a21\u578b<\/strong>(SSMs)\u7684\uff0c\u8fd9\u662f2021\u5e74\u63d0\u51fa\u7684\u5de5\u4f5c\uff0c\u7b97\u662f\u706b\u4e86\u4e24\u5e74\u4e86\u3002\u9700\u8981\u8865\u5145\u8bfb\u8fd9\u7bc7\u6587\u7ae0\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"460\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719223944744-1024x460.png\" alt=\"\" class=\"wp-image-15532\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719223944744-1024x460.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719223944744-300x135.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719223944744-768x345.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719223944744.png 1198w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>          \u5b9e\u9645\u4e0a\u8fd8\u662f\u65e7\u74f6\u88c5\u65b0\u9152\uff0c\u6a21\u578b\u8fd8\u662f\u65f6\u5e8f\u7684\uff0c\u672c\u8eab\u5c31\u662f\u4e2a RNN \u6a21\u578b\u3002\u6211\u4eec\u7528\u4e0b\u9762\u8fd9\u4e09\u5e45\u56fe\u6765\u8bb2\u6e05\u5b83\u662f\u600e\u4e48\u6765\u7684\uff0c\u957f\u4ec0\u4e48\u6837\uff0c\u53c8\u600e\u4e48\u7528\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"492\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719224432430-1024x492.png\" alt=\"\" class=\"wp-image-15537\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719224432430-1024x492.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719224432430-300x144.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719224432430-768x369.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719224432430.png 1332w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u5b9e\u9645\u4e0a\u5c31\u662f\u4e2aRNN\u6a21\u578b\uff0c\u4f46\u73b0\u5728\u4e0d\u662f\u7528\u795e\u7ecf\u7f51\u7edc\u5b9e\u73b0\u8fd9\u4e2a\u6a21\u578b\uff0c\u800c\u662f\u7528\u72b6\u6001\u65b9\u7a0b\uff0c\u7ebf\u6027\u4ee3\u6570\u5b9e\u73b0\u6570\u5b66\u5efa\u6a21<\/figcaption><\/figure>\n\n\n\n<h3>1.\u8fde\u7eed\u7a7a\u95f4\u7684\u65f6\u5e8f\u5efa\u6a21<\/h3>\n\n\n\n<p>     \u5f88\u591a\u5b9e\u9645\u95ee\u9898\u90fd\u80fd\u7528\u5de6\u56fe\u6240\u793a\u7684\u8fde\u7eed\u7a7a\u95f4\u6a21\u578b\u6765\u5efa\u6a21\u3002\u5c24\u5176\u662f\u63a7\u5236\u7406\u8bba\u3001\u4fe1\u53f7\u5904\u7406\u6216\u8005\u7ebf\u6027\u7cfb\u7edf\u9886\u57df\u7279\u522b\u5e38\u89c1\u3002\u6211\u4eec\u79f0\u4e3a LTI\uff0c\u7ebf\u6027\u65f6\u4e0d\u53d8 linear tiem-invariant \u7cfb\u7edf\uff0c\u7528\u516c\u5f0f\u8868\u793a\u5c31\u662f:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"1011\" height=\"333\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-2.png\" alt=\"\" class=\"wp-image-15545\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-2.png 1011w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-2-300x99.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-2-768x253.png 768w\" sizes=\"(max-width: 1011px) 100vw, 1011px\" \/><\/figure>\n\n\n\n<pre class=\"wp-block-preformatted\">\u7ebf\u6027\u65f6\u4e0d\u53d8\u7cfb\u7edf\uff08linear, time-invariant system\uff0c LTI\uff09 \u5c31\u662f\u6709\u5982\u4e0b\u4e24\u4e2a\u6027\u8d28\u7684\u4e00\u7c7b\u7cfb\u7edf\uff1a\n\n\u7ebf\u6027\uff1a\u5982\u679c\u4f60\u540c\u65f6\u5411\u7cfb\u7edf\u8f93\u5165\u4e24\u4e2a\u4e0d\u540c\u7684\u4fe1\u53f7\uff0c\u90a3\u4e48\u5f97\u5230\u7684\u8f93\u51fa\u548c\u8fd9\u4e24\u4e2a\u4fe1\u53f7\u5404\u81ea\u5411\u7cfb\u7edf\u7684\u8f93\u51fa\u4e4b\u548c\u76f8\u540c\u3002 \u7528\u6570\u5b66\u8bed\u8a00\u63cf\u8ff0\u4e3a\uff0c\u5982\u679c\u8f93\u5165 x1 \u4ea7\u751f\u8f93\u51fa y1 \uff0c\u8f93\u5165 x2 \u4ea7\u751f\u8f93\u51fa y2\uff0c\u90a3\u4e48 \u8f93\u5165 ax1+bx2 \u4ea7\u751f\u7684\u8f93\u51fa\u4e3a ay1+by2 \u3002\u8fd9\u91cc a \u548c b \u4e3a\u5e38\u6570\u3002\n\u65f6\u4e0d\u53d8\u6027\uff1a\u7cfb\u7edf\u7684\u4f5c\u7528\u6548\u679c\u4e0d\u968f\u65f6\u95f4\u7684\u53d8\u5316\u800c\u53d8\u5316\uff0c\u4ec5\u4f9d\u8d56\u4e8e\u7cfb\u7edf\u672c\u8eab\u7684\u72b6\u6001\u3002\u56e0\u6b64\uff0c\u5982\u679c\u8f93\u5165\u53d8\u5316\u4ec5\u662f\u5728\u65f6\u95f4\u4e0a\u5e73\u79fb\uff0c \u90a3\u4e48\u4ea7\u751f\u7684\u8f93\u51fa\u53d8\u5316\u4e5f\u4ec5\u4ec5\u662f\u76f8\u540c\u7684\u65f6\u95f4\u5e73\u79fb\uff0c\u5176\u4ed6\u90fd\u662f\u4e00\u6837\u7684\u3002<\/pre>\n\n\n\n<p class=\"has-dark-purple-color has-text-color\">      <strong><em> \u8f93\u5165x\u4e58\u4ee5B+\u9690\u72b6\u6001h\u4e58\u4ee5A\u5f97\u5230\u9690\u72b6\u6001\u5bfc\u6570\uff0ch\u4e58\u4ee5C\u5f97\u5230\u8f93\u51fa<\/em><\/strong>\u3002\u4e0a\u9762\u7684\u53eb\u72b6\u6001\u65b9\u7a0b\uff0c\u4e0b\u9762\u662f\u89c2\u6d4b\u65b9\u7a0b\uff0cABCD \u662f\u53c2\u6570\u77e9\u9635\u3002\u4e5f\u53ef\u4ee5\u7528\u53f3\u56fe\u66f4\u52a0\u6e05\u695a\u7684\u770b\u5230\u5b83\u7684\u77e9\u9635\u53d8\u5316\u5173\u7cfb\u3002\u4e4b\u6240\u4ee5\u53eb\u65f6\u4e0d\u53d8\uff0c\u5c31\u662f ABCD \u662f\u56fa\u5b9a\u7684\uff0c\u8fd9\u5f53\u7136\u662f\u4e00\u79cd\u5047\u8bbe\uff0c\u800c\u4e14\u662f\u4e2a\u5f3a\u5047\u8bbe\u3002D\u5728\u4e0a\u9762\u7684\u5f0f\u5b50\u4e2d\u6ca1\u5199\u4e3b\u8981\u662f\u56e0\u4e3a\u5728\u8bb8\u591a\u5b9e\u9645\u7cfb\u7edf\u4e2d\uff0c\u5b83\u53ef\u4ee5\u662f\u96f6\u3002\u5f88\u591a\u4eba\u5b66SSM \u5f04\u7740\u5f04\u7740\u5c31\u5fd8\u4e86\u8fd9\u4e2a\u5f3a\u5047\u8bbe\u3002transformer \u672c\u8eab\u662f\u6ca1\u6709\u8fd9\u6837\u7684\u5047\u8bbe\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\u53ef\u4ee5\u7528\u4e8e\u65f6\u53d8\u7cfb\u7edf\u548c\u975e\u7ebf\u6027\u7cfb\u7edf\u3002<strong>\u727a\u7272\u901a\u7528\u6027\uff0c\u6362\u6765\u7279\u5b9a\u573a\u666f\u4e0b\u7684\u66f4\u9ad8\u6027\u80fd\uff0c\u8fd9\u5c31\u662f\u6240\u6709 SSM \u6a21\u578b\u7684\u6700\u5e95\u5c42\u903b\u8f91\u3002<\/strong>(\u753b\u56fe:\u8868\u793a\u903b\u8f91\u5173\u7cfb)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-3.png\" alt=\"\" class=\"wp-image-15546\" width=\"356\" height=\"165\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-3.png 544w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-3-300x139.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/figure><\/div>\n\n\n\n<h3>2.\u65f6\u5e8f\u79bb\u6563\u5316\u4e0e RNN<\/h3>\n\n\n\n<p>          \u8fde\u7eed\u7cfb\u7edf\u4e0d\u65b9\u4fbf\u8ba1\u7b97\u673a\u5904\u7406\uff0c\u4e2d\u95f4\u56fe\u662f\u5bf9\u5b83\u7684\u79bb\u6563\u5316\u5c55\u5f00\uff0c\u5c31\u662f\u6cbf\u65f6\u95f4\u62c9\u957f\uff0c\u6a21\u578b\u548cRNN \u957f\u76f8\u4e0a\u51e0\u4e4e\u4e00\u6837\u3002\u516c\u5f0f\u4e0e\u4e0a\u9762\u7c7b\u4f3c\uff0c<strong>\u53ea\u662f\u5bfc\u6570h'(t)\u6539\u4e3a\u4e0d\u540c\u65f6\u523b\u89d2\u6807\uff0c\u5f62\u6210\u9012\u5f52\u8fc7\u7a0b\uff0c<\/strong>\u8fd9\u4e9b\u5b8c\u5168\u662f\u5927\u5b66\u7ebf\u6027\u7cfb\u7edf\u7684\u5185\u5bb9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"969\" height=\"297\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-4.png\" alt=\"\" class=\"wp-image-15548\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-4.png 969w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-4-300x92.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-4-768x235.png 768w\" sizes=\"(max-width: 969px) 100vw, 969px\" \/><\/figure>\n\n\n\n<p>        \u539f\u6587\u5728\u8fd9\u91cc\u7ed9\u51fa\u4e86\u4e00\u79cd\u4ece\u8fde\u7eed\u7cfb\u7edf\u8f6c\u6362\u4e3a\u79bb\u6563\u7cfb\u7edf\u7684 ABC \u53c2\u6570\u5bf9\u5e94\u5173\u7cfb\uff0c\u8fd9\u6bb5\u5982\u679c\u4f60\u6ca1\u6709\u63a7\u5236\u7406\u8bba\u57fa\u7840\u6216\u8005\u7ebf\u6027\u4ee3\u6570\u4e0d\u597d\u7684\u8bdd\uff0c\u57fa\u672c\u76f4\u63a5\u61f5\u903c\u3002\u4e0d\u8fc7\u5b83\u5176\u5b9e\u53ea\u662f\u4e00\u79cd\u65b9\u6cd5\u7684\u4e3e\u4f8b\uff0c\u5b66\u540d\u53eb\u201c\u96f6\u9636\u4fdd\u6301(Zero-Order Hold,ZOH)\u201d\u3002<strong>\u516c\u5f0f\u4e0d\u7528\u8bb0\uff0c\u53ea\u8981\u77e5\u9053\u7528\u4e86\u8fd9\u4e48\u4e00\u4e2a delta \u51fd\u6570\uff0c\u7ecf\u8fc7\u8fd9\u4e48\u4e00\u901a\u8fd0\u7b97\u80fd\u5f97\u5230\u65b0\u7684A\u548cB\u5c31\u53ef\u4ee5\u4e86\u3002\u8fd9\u4e2a\u540e\u9762\u7528\u5f97\u5230\u3002<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"658\" height=\"73\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-5.png\" alt=\"\" class=\"wp-image-15554\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-5.png 658w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-5-300x33.png 300w\" sizes=\"(max-width: 658px) 100vw, 658px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"634\" height=\"226\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-6.png\" alt=\"\" class=\"wp-image-15556\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-6.png 634w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-6-300x107.png 300w\" sizes=\"(max-width: 634px) 100vw, 634px\" \/><\/figure>\n\n\n\n<p>\u5176\u5b9e\uff0c\u8fd8\u6709\u5f88\u591a\u79cd\u79bb\u6563\u5316\u65b9\u6cd5\u3002\u79bb\u6563\u5316\u4e3b\u8981\u662f\u4e3a\u4e86\u65b9\u4fbf\u8ba1\u7b97\u673a\u5904\u7406\uff0c\u540c\u65f6\u4e5f\u662f Mamba\u7684\u4e00\u4e2a\u6280\u5de7\uff0c\u540e\u9762\u4f1a\u8bb2\u5b83\u600e\u4e48\u8f6c\u5316\u6210\u7c7b\u4f3c RNN \u7684\u95e8\u63a7\u673a\u5236\u3002<\/p>\n\n\n\n<h3>3.\u5e76\u884c\u5316\u5904\u7406\u4e0eCNN<\/h3>\n\n\n\n<p class=\"has-dark-brown-color has-bright-blue-background-color has-text-color has-background\">        <strong>\u5982\u679c\u53ea\u662f\u65f6\u5e8f\u5efa\u6a21\uff0cSSM \u548c RNN \u76f8\u6bd4\u4e5f\u5c31\u6ca1\u5565\u610f\u601d\u4e86\u3002\u5b83\u6700\u5927\u7684\u7279\u70b9\u5c31\u662f\u901a\u8fc7\u4e0b\u56fe\u5377\u79ef\u5b9e\u73b0\u4e86\u8ba1\u7b97\u4e0a\u7684\u5e76\u884c\u5316\u3002<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"220\" height=\"223\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-7.png\" alt=\"\" class=\"wp-image-15560\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-light-pink-background-color has-background\">\u770b\u56fe\uff0c\u5c31\u662f\u628a\u957f\u957f\u7684\u94fe\u6761\u4e00\u4e0b\u5b50\u5f04\u6210\u4e86\u8f93\u5165\u8f93\u51fa\u76f4\u63a5\u5bf9\u5e94\u7684\u6837\u5b50\uff0c\u9690\u53d8\u91cf\u5173\u8054\u5173\u7cfb\u90fd\u8dd1\u5230\u4e2d\u95f4\u809a\u5b50\u91cc\u53bb\u4e86\u3002\u5148\u8bf4\u7ed3\u8bba:<strong>\u6838\u5fc3\u601d\u60f3\u662f\u7528 CNN \u5bf9\u65f6\u5e8f\u6570\u636e\u5efa\u6a21\uff0c\u501f\u52a9\u4e0d\u540c\u5c3a\u5ea6\u7684\u5377\u79ef\u6838\uff0c\u4ece\u4e0d\u540c\u65f6\u95f4\u5c3a\u5ea6\u4e0a\u6355\u83b7\u65f6\u5e8f\u7279\u5f81\u3002<\/strong>\u6570\u5b66\u4e0a\u4e00\u756a\u63a8\u5bfc\u731b\u5982\u864e\u4e4b\u540e\u80fd\u5f97\u5230\u4e0b\u9762\u7684\u516c\u5f0f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"784\" height=\"183\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-8.png\" alt=\"\" class=\"wp-image-15562\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-8.png 784w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-8-300x70.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-8-768x179.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/figure>\n\n\n\n<p>\u7b2c\u4e8c\u4e2a\u5f0f\u5b50\u548c\u524d\u9762\u7684\u56fe\u5b8c\u5168\u5bf9\u5e94\uff0c\u5c31\u662f\u4e2aCNN \u5b9e\u73b0\u3002\u65f6\u5e8f\u9012\u5f52\u72b6\u6001\u65b9\u7a0b\u6539\u7528\u5377\u79ef\u64cd\u4f5c\u5b9e\u73b0\u4e86\uff0cABC\u53c2\u6570\u77e9\u9635\u53d8\u6210\u4e86K\uff0c\u5c31\u662f\u56fe\u4e2d\u7eff\u8272\u6846\u5185\u7684\u5377\u79ef\u6838\u3002\u8fd9\u5c31\u725b\u903c\u4e86\u54c8\uff0c\u62d6\u62d6\u62c9\u62c9\u7684\u65f6\u5e8f\u8ba1\u7b97\u53d8\u6210\u4e86\u80fd\u4e00\u53e3\u6c14\u7684\u5e76\u884c\u8ba1\u7b97\u3002\u4f53\u73b0\u5728\u6548\u679c\u4e0a\uff0c\u501f\u52a9\u4e0d\u540c\u5377\u79ef\u6838\u6355\u6349\u5c40\u90e8\u65f6\u95f4\u5e8f\u5217\u7279\u5f81\uff0c\u80fd\u540c\u65f6\u5bf9\u77ed\u671f\u548c\u957f\u671f\u4f9d\u8d56\u5173\u7cfb\u5b66\u4e60\uff0c\u5e76\u884c\u8ba1\u7b97\u63d0\u9ad8\u4e86\u8bad\u7ec3\u548c\u63a8\u7406\u6548\u7387\uff0c\u4f7f\u5f97 SSMs \u5728\u5904\u7406\u590d\u6742\u7684\u65f6\u5e8f\u6570\u636e\u65f6\u8868\u73b0\u51fa\u8272\u3002<br>\u7ed3\u8bba\u77e5\u9053\u4e86\uff0c\u7231\u5b66\u4e60\u7684\u540c\u5b66\u4e00\u5b9a\u597d\u5947\u8fd9\u662f\u600e\u4e48\u6765\u7684\uff0c\u51ed\u5565\u5c31\u80fd\u505a\u8fd9\u79cd\u8f6c\u6362\u3002\u5176\u5b9e\u4e5f\u6ca1\u90a3\u4e48\u731b\uff0c\u5168\u662f\u7ebf\u6027\u7cfb\u7edf\u4e2d\u73b0\u6210\u7684\u5185\u5bb9\uff0c\u5b66\u4fe1\u53f7\u5904\u7406\u6216\u81ea\u52a8\u63a7\u5236\u7684\u540c\u5b66\u5e94\u8be5\u5f88\u719f\u3002\u4e3a\u4e86\u8ba9\u6ca1\u5b66\u8fc7\u7684\u540c\u5b66\u4eec\u8fc7\u8fc7\u763e\uff0c\u6897\u76f4\u54e5\u8fd9\u91cc\u7528\u4eba\u8bdd\u7ed9\u4f60\u5feb\u901f\u63a8\u5bfc\u4e00\u904d\uff0c\u4e5f\u4e0d\u96be\u3002\u524d\u9762\u7684RNN \u516c\u5f0f\u4e0d\u662f\u6cbf\u7740\u65f6\u95f4\u8fed\u4ee3\u7684\u561b\uff0c\u4ee5\u4e24\u4e2a\u65f6\u523b\u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"781\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-9-1024x781.png\" alt=\"\" class=\"wp-image-15564\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-9-1024x781.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-9-300x229.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-9-768x586.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-9.png 1114w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u79bb\u6563\u5377\u79ef\u7684\u5b9a\u4e49\uff1a<\/p>\n\n\n\n<p class=\"has-light-gray-background-color has-background\">\u5c06\u4e24\u4e2a\u79bb\u6563\u5e8f\u5217\u4e2d\u7684\u6570\uff0c\u6309\u7167\u89c4\u5219\uff0c\u4e24\u4e24\u76f8\u4e58\u518d\u76f8\u52a0\u7684\u64cd\u4f5c\u3002\u8ba1\u7b97\u5377\u79ef\u7684\u8fc7\u7a0b\uff1a\u5e8f\u5217\u7ffb\u8f6c\uff0c\u79fb\u4f4d\uff0c\u76f8\u4e58\uff0c\u53d6\u548c\u3002<\/p>\n\n\n\n<p>\u4f60\u4f1a\u53d1\u73b0\uff0c\u4e8c\u8005\u5728\u7ed3\u6784\u4e0a\u7c7b\u4f3c:<br>       \u9996\u5148\uff0c\u6700\u5916\u9762\u90fd\u662f\u6c42\u548c Sigma\uff0c\u4e0e\u867d\u7136\u4e0a\u9650\u4e0d\u540c\uff0c\u4f46\u90fd\u662f\u5728\u4e00\u4e2a\u8303\u56f4\u5185\u8fdb\u884c\u6c42\u548c\uff0c\u5bf9\u4e0d\u540c\u65f6\u95f4\u6b65\u548c\u76f8\u5e94\u6743\u91cd\u7684\u7ebf\u6027\u7ec4\u5408\uff0c\u56e0\u6b64\u7c7b\u4f3c\u3002\u5176\u6b21\uff0c\u770b\u8f93\u5165\u4fe1\u53f7\uff0c\u4e00\u4e2a\u662fx_{t-k}\uff0c\u4e00\u4e2a\u662fx[k]\uff0c\u65e0\u975e\u662f\u4e0d\u540c\u7684\u65f6\u95f4\u6b65\uff0c\u90fd\u6d89\u53ca\u65f6\u95f4\u504f\u79fb\uff0c\u56e0\u6b64\u4e5f\u7c7b\u4f3c\u3002<br>       \u7b2c\u4e09\uff0c\u770b\u6743\u91cd\uff0c\u4e00\u4e2a\u662fCB\uff0c\u4e00\u4e2a\u662fh[t-k]\uff0c\u90fd\u662f\u968f\u7740\u65f6\u95f4k\u53d8\u5316\u7684\u91cf\u3002<strong>\u56e0\u6b64\uff0c\u65f6\u5e8f\u7684\u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u80fd\u6539\u5199\u6210\u5377\u79ef\u7684\u5f62\u5f0f\u5566\u3002<\/strong>\u5230\u8fd9\u91cc\uff0c\u4e0d\u5f97\u4e0d\u611f\u6168\u4e00\u4e0b\u3002\u5377\u79ef\u53ef\u4ee5\u8bf4\u662f\u4e2a\u6781\u5176\u4f1f\u5927\u7684\u6570\u5b66\u8fd0\u7b97\u53d1\u660e\uff0c\u8d77\u6e90\u4e8e 100 \u591a\u5e74\u524d\u5085\u91cc\u53f6\u53d8\u6362\u7684\u5de5\u4f5c\u3002\u5b83\u5c31\u50cf\u662f\u4e00\u4e2a\u201c\u6ee4\u955c\u201d\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u7a81\u51fa\u4fe1\u53f7\u4e2d\u7684\u67d0\u4e9b\u7279\u5f81\uff0c\u8bc6\u522b\u548c\u63d0\u53d6\u4fe1\u53f7\u4e2d\u7684\u91cd\u8981\u4fe1\u606f\uff0c\u56e0\u6b64\u5728\u4fe1\u53f7\u5904\u7406\u4e0e\u901a\u4fe1\u7cfb\u7edf\u9886\u57df\u5360\u636e\u4e86\u6838\u5fc3\u5730\u4f4d\u3002<\/p>\n\n\n\n<p>        \u9664\u6b64\u4e4b\u5916\uff0c\u5728\u4e0a\u9762\u5f0f\u5b50\u4e2d\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5b9e\u9645\u95ee\u9898\u4e2d\u5f80\u5f80\u4f1a\u5bf9 ABC\u77e9\u9635\u8fdb\u4e00\u6b65\u7b80\u5316\u5047\u8bbe\u6210\u66f4\u7b80\u5355\u7684\u5bf9\u89d2\u9635\u65b9\u4fbf\u8ba1\u7b97\uff0c\u8fd9\u5c31\u662f\u6240\u8c13\u7684\u7ed3\u6784\u5316 SSM\uff0cS4 \u6a21\u578b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"717\" height=\"366\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-10.png\" alt=\"\" class=\"wp-image-15575\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-10.png 717w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-10-300x153.png 300w\" sizes=\"(max-width: 717px) 100vw, 717px\" \/><\/figure>\n\n\n\n<p>       \u5230\u8fd9\u91cc\uff0c\u518d\u56de\u6765\u770b\u770b\u8fd9\u5e45\u56fe\u3002\u4f60\u6709\u6ca1\u6709\u8d6b\u7136\u53d1\u73b0\uff0c\u5386\u53f2\u603b\u662f\u91cd\u6f14\u7684\uff0c\u4e09\u5341\u5e74\u6cb3\u4e1c\uff0c\u4e09\u5341\u5e74\u6cb3\u897f\u3002\u5927\u5bb6\u719f\u6089\u7684 CNN\u3001RNN\uff0c\u773c\u7785\u7740\u8fc7\u65f6\u4e86\uff0c\u6ca1\u60f3\u5230\u53c8\u80fd\u6740\u56de\u6765\u3002\u6211\u5e38\u63d0\u9192\u5927\u5bb6\uff0c\u60f3\u5b66\u597d\u6df1\u5ea6\u5b66\u4e60\uff0c\u4e00\u5b9a\u8981\u7cfb\u7edf\u7684\u5b66\uff0c\u8fd9\u6837\u4f60\u624d\u80fd\u9ad8\u5c4b\u5efa\u74f4\uff0c\u6709\u5168\u5c40\u89c2\u3002\u4e0d\u8981\u4e00\u4e0a\u6765\u603b\u76ef\u7740 transformer\uff0c\u4f46\u6709\u4e9b\u4eba\u4e0d\u4fe1\u90aa\uff0c\u5f80\u5f80\u53ea\u60f3\u5077\u61d2\u8ffd\u98ce\u3002\u5176\u5b9e\uff0c\u5f88\u591a\u65f6\u5019,\u201c\u6a2a\u770b\u6210\u5cad\u4fa7\u6210\u5cf0\uff0c\u8fdc\u8fd1\u9ad8\u4f4e\u5404\u4e0d\u540c\u201d\u3002\u4e0d\u540c\u6a21\u578b\u7684\u5de7\u5999\u5229\u7528\u548c\u5408\u7406\u7ec4\u5408\uff0c\u4e5f\u8bb8\u4f1a\u8ff8\u53d1\u65b0\u7684\u6d3b\u529b\uff0c\u5c31\u50cf\u8fd9\u4e2a SSM \u4e00\u6837\uff0c\u67d0\u79cd\u7a0b\u5ea6\u4e0a\uff0c\u5176\u5b9e\u53ea\u662f\u6362\u4e86\u4e2a\u540d\u5b57\u7684CNN \u5316\u7684 RNN\u3002<br>      \u6211\u4eec\u7528\u751f\u6d3b\u4e2d\u7684\u4f8b\u5b50\u6765\u5e2e\u4f60\u66f4\u597d\u7406\u89e3 RNN \u548c SSM \u7684\u533a\u522b\u3002\u60f3\u8c61\u4f60\u5728\u8bfb\u4e00\u672c\u4e66\uff0c\u65f6\u5e8f\u5d4c\u5957\u7684 RNN \u6bcf\u6b21\u53ea\u80fd\u8bfb\u4e00\u884c\uff0c\u7136\u540e\u628a\u8bb0\u5fc6\u4f20\u9012\u5230\u4e0b\u4e00\u884c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53ea\u9002\u5408\u5904\u7406\u77ed\u6545\u4e8b\uff0c\u6545\u4e8b\u4e00\u957f\uff0c\u5bb9\u6613\u5fd8\u8bb0\u524d\u9762\u7684\u60c5\u8282\u3002\u800cSSM \u5e76\u884c\u5904\u7406\uff0c\u540c\u65f6\u6253\u5f00\u6240\u6709\u9875\u770b\u5230\u6bcf\u884c\u5185\u5bb9\uff0c\u8fd9\u6837\u5c31\u80fd\u5feb\u901f\u627e\u5230\u548c\u7406\u89e3\u6574\u672c\u4e66\uff0c\u65e0\u9700\u9010\u884c\u4f20\u9012\u8bb0\u5fc6\u3002<\/p>\n\n\n\n<p>      \u6211\u4eec\u7528\u751f\u6d3b\u4e2d\u7684\u4f8b\u5b50\u6765\u5e2e\u4f60\u66f4\u597d\u7406\u89e3 RNN \u548c SSM \u7684\u533a\u522b\u3002\u60f3\u8c61\u4f60\u5728\u8bfb\u4e00\u672c\u4e66\uff0c\u65f6\u5e8f\u5d4c\u5957\u7684 RNN \u6bcf\u6b21\u53ea\u80fd\u8bfb\u4e00\u884c\uff0c\u7136\u540e\u628a\u8bb0\u5fc6\u4f20\u9012\u5230\u4e0b\u4e00\u884c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53ea\u9002\u5408\u5904\u7406\u77ed\u6545\u4e8b\uff0c\u6545\u4e8b\u4e00\u957f\uff0c\u5bb9\u6613\u5fd8\u8bb0\u524d\u9762\u7684\u60c5\u8282\u3002\u800cSSM \u5e76\u884c\u5904\u7406\uff0c\u540c\u65f6\u6253\u5f00\u6240\u6709\u9875\u770b\u5230\u6bcf\u884c\u5185\u5bb9\uff0c\u8fd9\u6837\u5c31\u80fd\u5feb\u901f\u627e\u5230\u548c\u7406\u89e3\u6574\u672c\u4e66\uff0c\u65e0\u9700\u9010\u884c\u4f20\u9012\u8bb0\u5fc6\u3002<br>      \u5bf9\u5e94\u539f\u6587\uff0c\u6211\u4eec\u5df2\u7ecf\u8bb2\u5b8c\u4e86\u7b80\u4ecb\u548c\u7b2c\u4e8c\u90e8\u5206\u3002\u4f60\u53ef\u80fd\u4f1a\u95ee\uff0c\u770b\u4e0a\u53bb\u5e76\u884c\u7684SSM \u5c31\u633a\u597d\u7684\u554a\u4e3a\u5565\u4e0d\u884c\u5462?\u522b\u5fd8\u4e86\uff0c<strong>\u8fd9\u4e2a\u7cfb\u7edf\u8fd8\u6709\u4e24\u4e2a\u5f3a\u5047\u8bbe:\u7ebf\u6027+\u65f6\u4e0d\u53d8\u3002\u6781\u5927\u7684\u9650\u5236\u4e86\u5b83\u7684\u5e94\u7528\u8303\u56f4\uff0c\u56e0\u4e3a\u5b9e\u9645\u7cfb\u7edf\u5927\u591a\u4e3a\u975e\u7ebf\u6027\u3001\u65f6\u53d8\u7cfb\u7edf\u3002Mamba\u672c\u8d28\u4e0a\u5c31\u662f\u4e00\u4e2a SSM \u6a21\u578b\u7684\u6539\u8fdb\u7248\uff0c\u653e\u5f00\u4e86\u8fd9\u4e24\u4e2a\u7ea6\u675f\u3002<\/strong><\/p>\n\n\n\n<h2>\u4e09\u3001Mamba: \u9009\u62e9\u6027 SSM<\/h2>\n\n\n\n<p class=\"has-text-align-center has-dark-brown-color has-text-color has-medium-font-size\"><strong>\u89e3\u51b3\u4e86 SSM \u7ebf\u6027+\u65f6\u4e0d\u53d8\u7684\u7f3a\u9677<\/strong><\/p>\n\n\n\n<p class=\"has-light-gray-background-color has-background\">        \u63a5\u4e0b\u6765\u54b1\u4eec\u7740\u91cd\u8bb2\u89e3\u4ec0\u4e48\u662f<strong>\u9009\u62e9\u6027 SSM<\/strong>\u3002<strong>Mamba \u4e3b\u8981\u4f53\u73b0\u5728\u8bbe\u8ba1\u4e86\u4e00\u79cd\u673a\u5236\uff0c\u8ba9\u72b6\u6001\u7a7a\u95f4\u5177\u5907\u9009\u62e9\u6027\uff0c\u8fbe\u5230\u4e86 Transformers \u7684\u5efa\u6a21\u80fd\u529b\uff0c\u540c\u65f6\u5728\u5e8f\u5217\u957f\u5ea6\u4e0a\u5b9e\u73b0\u4e86\u7ebf\u6027\u6269\u5c55\uff0c\u4e5f\u5c31\u662f\u514b\u670d\u4e86 Transformers \u7684\u7f3a\u9677\uff0c\u53ef\u5904\u7406\u6700\u957f\u8fbe\u767e\u4e07\u957f\u5ea6\u7684\u5e8f\u5217\uff0c\u800c\u4e14\u6548\u7387\u8d3c\u9ad8\uff0c\u4e0e GPU \u786c\u4ef6\u9002\u914d\uff0c\u6bd4Transformers \u5feb5\u500d\uff0c\u51c6\u786e\u7387\u76f8\u5f53\u751a\u81f3\u66f4\u597d\u3002\u8fd9\u5c31\u662f\u5b83\u4e3a\u5565\u725b\u903c\u8d77\u6765\u7684\u539f\u56e0\u5566\u3002<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"520\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-11-1024x520.png\" alt=\"\" class=\"wp-image-15581\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-11-1024x520.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-11-300x152.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-11-768x390.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-11.png 1444w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-light-pink-background-color has-background\">        \u6838\u5fc3\u5c31\u662f\u641e\u61c2\u8fd9\u5e45\u56fe\uff0c\u5176\u5b9e\u5927\u81f4\u770b\u770b\u5c31\u660e\u767d\uff0c<strong>\u5728\u65f6\u95f4\u5e8f\u5217\u6a21\u578b\u4e2d\u95f4\u8bbe\u8ba1\u4e86\u8fd9\u4e48\u4e00\u5768\u975e\u5e38\u7c7b\u4f3cLSMT\u7684\u95e8\u7ed3\u6784\uff0c\u5b9e\u73b0\u6240\u8c13\u7684\u9009\u62e9\u6027\uff0cBC\u90fd\u5e26\u4e86t\u53d8\u6210\u4e86\u65f6\u53d8\u53c2\u6570\uff0cA\u867d\u7136\u6ca1\u6709\u76f4\u63a5\u542bt\uff0c\u4f46\u7531\u4e8edelat\u51fd\u6570\u5f71\u54cdA\uff0c\u6240\u4ee5A\u5176\u5b9e\u4e5f\u662f\u65f6\u53d8\u7684\u4e86\u3002\u4e0b\u9762\u7684\u84dd\u8272\u90e8\u5206\u5c31\u662f\u6240\u8c13\u7684\u9009\u62e9\u673a\u5236\uff0c\u8fd9\u4e2adelat\u522b\u5c0f\u77a7\uff0c\u5b83\u5c31\u662f\u524d\u9762\u79bb\u6563\u51fd\u6570\uff0c\u4e5f\u662f\u4e00\u4e2a\u975e\u7ebf\u6027\u7684\u51fd\u6570\uff0c\u4e00\u4f1a\u6709\u5927\u7528\u3002\u8981\u771f\u6b63\u660e\u767d\u5176\u4e2d\u7684\u7ec6\u8282\uff0c\u5148\u8981\u4ece\u589e\u52a0\u9009\u62e9\u6027\u7684\u52a8\u673a\u5f00\u59cb\u8bb2\uff0c\u4f46\u5176\u5b9e\u7b80\u5355\u7406\u89e3\u5c31\u662f\u628a\u6574\u4e2a\u7cfb\u7edf\u8be5\u7528:<\/strong><br>                        <strong>\u4e00\u4e2a\u603b\u5f00\u5173 delat+\u82e5\u5e72\u4e2a\u65cb\u94aeBt\uff0cCt ==\u975e\u7ebf\u6027\u65f6\u53d8\u7cfb\u7edf<\/strong><\/p>\n\n\n\n<p>\u4e0b\u9762\u7684\u89e3\u91ca\u53ef\u4ee5\u8ba4\u4e3a\u662f\u5bf9\u8fd9\u79cd\u9009\u62e9\u7684\u5408\u7406\u5316\u3002<\/p>\n\n\n\n<h3>1.\u8981\u89e3\u51b3\u4ec0\u4e48\u95ee\u9898<\/h3>\n\n\n\n<p>\u4ece\u67d0\u79cd\u89d2\u5ea6\u770b\uff0c\u5e8f\u5217\u5efa\u6a21\u7684\u6838\u5fc3\u5c31\u662f\u7814\u7a76\u5982\u4f55\u5c06\u957f\u5e8f\u5217\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\u538b\u7f29\u5230\u4e00\u4e2a\u8f83\u5c0f\u7684\u72b6\u6001\u4e2d\u3002\u6bd4\u5982\uff0c\u8bed\u8a00\u6a21\u578b\u5b9e\u9645\u4e0a\u5c31\u662f\u5728\u4e00\u4e2a\u6709\u9650\u7684\u8bcd\u6c47\u96c6\u5408\u4e2d\u4e0d\u65ad\u8fdb\u884c\u8f6c\u6362\u3002\u6709\u7edf\u8ba1\u8868\u660e\uff0c3500 \u591a\u4e2a\u5e38\u7528\u4e2d\u6587\u5b57\uff0c3000\u4e2a\u5e38\u7528\u82f1\u6587\u8bcd\u80fd\u8986\u76d690%\u4ee5\u4e0a\u7684\u65e5\u5e38\u7528\u8bed\u3002<strong>transformer \u7684\u6ce8\u610f\u529b\u673a\u5236\u867d\u7136\u5f88\u6709\u6548\uff0c\u4f46\u6548\u7387\u4f4e\uff0c\u56e0\u4e3a\u5b83\u9700\u8981\u5b58\u50a8\u6574\u4e2a\u4e0a\u4e0b\u6587\uff0c\u5bfc\u81f4\u63a8\u7406\u548c\u8bad\u7ec3\u65f6\u95f4\u8f83\u957f\u3002\u524d\u9762\u8bb2\u7684 SSM \u9012\u5f52\u6a21\u578b\u53ef\u4ee5\u5e76\u884c\u5904\u7406\uff0c\u4f46\u56e0\u4e3a\u5b83\u4eec\u7684\u72b6\u6001\u662f\u6709\u9650\u7684(\u5355\u7eaf\u65f6\u4e0d\u53d8\u5bfc\u81f4)\uff0c\u6548\u7387\u9ad8\u4f46\u6709\u6548\u6027\u53d7\u9650\u4e8e\u72b6\u6001\u7684\u538b\u7f29\u80fd\u529b\u3002<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"820\" height=\"279\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477876463.png\" alt=\"\" class=\"wp-image-15606\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477876463.png 820w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477876463-300x102.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477876463-768x261.png 768w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/figure><\/div>\n\n\n\n<p>\u90a3\u80fd\u4e0d\u80fd\u8bbe\u8ba1\u4e00\u79cd\u6a21\u578b\uff0c\u5e73\u8861\u4e00\u4e0b\uff0c\u5b9e\u73b0\u8fd9\u79cd\u7c7b\u4f3c\u7684\u5f3a\u9009\u62e9\u80fd\u529b\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u672c\u6587\u5173\u6ce8\u4e24\u79cd\u80fd\u529b:<br>       <strong>\u4e00\u662f\u6293\u91cd\u70b9\u7684\u80fd\u529b(\u9009\u62e9\u6027\u590d\u5236\u4efb\u52a1)\u3002\u4ece\u5927\u91cf\u4fe1\u606f\u4e2d\u9009\u62e9\u548c\u8bb0\u4f4f\u5173\u952e\u7684\u4fe1\u606f\uff0c\u5ffd\u7565\u4e0d\u76f8\u5173\u7684\u90e8\u5206\u3002\u7c7b\u4f3c\u4e8e\u5728\u4eba\u7fa4\u4e2d\u627e\u5230\u4f60\u7684\u670b\u53cb\u6216\u8005\u5728\u4e00\u7bc7\u6587\u7ae0\u4e2d\u627e\u5230\u5173\u952e\u8bcd\u3002\u6bd4\u5982\u4ece\u4e0b\u9762\u53e5\u5b50\u4e2d\u627e\u51fa\u540d\u8bcd\u3002<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477937579.png\" alt=\"\" class=\"wp-image-15608\" width=\"509\" height=\"121\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477937579.png 663w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719477937579-300x71.png 300w\" sizes=\"(max-width: 509px) 100vw, 509px\" \/><\/figure><\/div>\n\n\n\n<p>      <strong> \u4e8c\u662f\u4e0a\u4e0b\u6587\u8054\u60f3\/\u63a8\u7406\u80fd\u529b(\u8bf1\u5bfc\u5934\u4efb\u52a1)\u3002\u5728\u5904\u7406\u8fde\u7eed\u7684\u4fe1\u606f\u65f6\uff0c\u80fd\u591f\u4fdd\u6301\u903b\u8f91\u4e00\u81f4<br>\u6027\u548c\u4e0a\u4e0b\u6587\u7684\u8fde\u8d2f\u6027\u3002\u6bd4\u5982\u4e0b\u56fe\u7684\u56de\u7b54\u80fd\u529b\uff0c\u53ea\u7528\u4e86\u5355\u6837\u672c\u5b66\u4e60\u3002<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" width=\"625\" height=\"228\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719478003558.png\" alt=\"\" class=\"wp-image-15614\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719478003558.png 625w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719478003558-300x109.png 300w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><\/figure><\/div>\n\n\n\n<p>\u8fd9\u5c31\u50cf\u6211\u4eec\u7ecf\u5e38\u8bf4\u4e00\u4e2a\u4eba\u53e3\u624d\u597d\uff0c\u53c8\u80fd\u6293\u4f4f\u91cd\u70b9\uff0c\u903b\u8f91\u6027\u53c8\u5f3a<\/p>\n\n\n\n<p>        \u90a3\u5177\u4f53\u600e\u4e48\u6539\u8fdb\u5462?\u5f53\u7136\u8fd8\u662f\u5728 SSM \u57fa\u7840\u4e0a\u3002\u524d\u9762\u6211\u4eec\u8bf4\u8fc7\uff0c\u539f\u6765\u7684 SSM \u6709\u4e2a LTI\u7ebf\u6027\u65f6\u4e0d\u53d8\u7cfb\u7edf\u7684\u5f3a\u5047\u8bbe(ABC\u662f\u56fa\u5b9a\u7684)\uff0c\u8fd9\u6837\u5c31\u5bfc\u81f4\u96be\u4ee5\u6709\u6548\u7684\u9009\u62e9\u4e0a\u4e0b\u6587\u4fe1\u606f\u3002\u4ee5\u4e0b\u56fe\u4e3a\u4f8b\uff0c\u752d\u7ba1\u8f93\u5165x\u662f\u5565\uff0cB\u81ea\u5cbf\u7136\u4e0d\u52a8\uff0c\u8fd9\u4e0d\u884c\uff0c\u5f97\u60f3\u529e\u6cd5\u8ba9\u5b83\u65f6\u53d8\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719480583791.png\" alt=\"\" class=\"wp-image-15621\" width=\"356\" height=\"252\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719480583791.png 543w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/1719480583791-300x213.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/figure><\/div>\n\n\n\n<p>\u524d\u9762\u7684\u5168\u5c40\u5377\u79ef\u867d\u7136\u80fd\u7528\u4e0d\u540c\u7684\u5377\u79ef\u6838\u8fdb\u884c\u65f6\u5e8f\u7279\u5f81\u6355\u6349\uff0c\u4f46\u662f\u7f3a\u4e4f\u5185\u5bb9\u611f\u77e5\uff0c\u4e5f\u5c31\u662f\u4e0d\u77e5\u9053\u8f93\u5165\u7684\u91cd\u70b9\u548c\u903b\u8f91\u3002\u800c transformer \u4eba\u5bb6\u672c\u8eab\u662f\u6ca1\u6709\u8fd9\u4e9b\u9650\u5236\u7684\uff0c\u522b\u8bf4\u65f6\u4e0d\u53d8\uff0c\u8fde\u7ebf\u6027\u7cfb\u7edf\u5047\u8bbe\u90fd\u6ca1\u6709\u3002\u8fd9\u4e48\u4e00\u5206\u6790\uff0c\u6539\u8fdb\u7684\u65b9\u5411\u5c31\u5f88\u660e\u786e\u4e86\u54c8\u3002\u653e\u5f00LTI\u6a21\u578b\u7684\u65f6\u4e0d\u53d8\u7ea6\u675f\uff0c\u8ba9\u6a21\u578b\u53c2\u6570\u4f9d\u8d56\u4e8e\u8f93\u5165\u5185\u5bb9\u4e0d\u5c31\u884c\u4e86\u5417?\u8bf4\u8d77\u6765\u7b80\u5355\uff0c\u5177\u4f53\u770b\u770b\u662f\u600e\u4e48\u5b9e\u73b0\u7684\u3002<\/p>\n\n\n\n<h3>2.\u600e\u4e48\u589e\u52a0\u9009\u62e9\u6027<\/h3>\n\n\n\n<p class=\"has-dark-purple-color has-text-color\">\u8bf4\u7a7f\u4e86\u5c31\u662f\u8ba9 B\u548cC\u7531\u56fa\u5b9a\u7684\u53d8\u6210\u4e86\u53ef\u53d8\u7684\uff0c\u6839\u636e\u8f93\u5165xt\u548c\u5b83\u7684\u538b\u7f29\u6295\u5f71\u5b66\u4e60\u53ef\u53d8\u53c2\u6570\u3002A\u4e3a\u4e86\u7b80\u5316\uff0c\u81ea\u8eab\u8fd8\u662f\u4e0d\u53d8\u7684\u3002<strong>\u84dd\u8272\u90e8\u5206(\u5305\u62ec\u6295\u5f71\u53ca\u5176\u8fde\u7ebf)\u5c31\u662f\u6240\u8c13\u7684\u9009\u62e9\u673a\u5236\uff0c\u76ee\u7684\u662f\u6839\u636e\u8f93\u5165\u5185\u5bb9\u9009\u62e9\u6027\u5730\u8bb0\u5fc6\u548c\u5904\u7406\u4fe1\u606f\uff0c\u4ece\u800c\u63d0\u9ad8\u5bf9\u590d\u6742\u5e8f\u5217\u6570\u636e\u7684\u9002\u5e94\u80fd\u529b\u3002\u4f60\u770b\uff0c\u8fd9\u4e2a\u601d\u60f3\u662f\u4e0d\u662f\u50cf\u6781\u4e86LSTM\uff0c\u5c31\u662f\u589e\u52a0\u5f00\u5173\u3002<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"388\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-12-1024x388.png\" alt=\"\" class=\"wp-image-15625\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-12-1024x388.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-12-300x114.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-12-768x291.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-12.png 1402w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u6240\u8c13\u7684\u9009\u62e9\uff0c\u5176\u5b9e\u4eba\u8bdd\u7406\u89e3\uff0c\u5c31\u662f\u201c\u63ba\u548c\u201d\u3002\u4e00\u6b21\u4e0d\u591f\uff0c\u7528\u4e09\u6761\u7ebf\u7ed9 B_t\u63ba\u548c\u4e86\u4e09\u6b21\uff0c\u7ed9Ct\u63ba\u548c\u4e86\u4e24\u6b21\uff0c\u7ed9A\u63ba\u548c\u4e86\u4e24\u6b21\uff0c\u770b\u4e0b\u9762\u7684\u7b97\u6cd5\u56e0\u4e3a\u51fd\u6570 \\tau \u662f\u975e\u7ebf\u6027\u6fc0\u6d3b\u51fd\u6570\u56e0\u6b64 delta \u662f\u975e\u7ebf\u6027\u7684\uff0c\u6240\u4ee5 ABC \u90fd\u662f\u975e\u7ebf\u6027\u65f6\u53d8\u7684\uff0c\u6574\u4e2a\u7cfb\u7edf\u4e24\u4e2a\u6761\u4ef6\u90fd\u653e\u5f00\u4e86\u52a0\u4e86\u51e0\u4e2a\u5f00\u5173\uff0c\u591a\u63a5\u4e86\u51e0\u6761\u6c34\u7ba1\u5b50\u3002<br>(\u753b\u56fe)\u6f14\u793a<\/p>\n\n\n\n<p>       \u8fd9\u91cc\u9762\u7684 deltat\u662f\u524d\u9762\u79bb\u6563\u5316\u8ba1\u7b97\u65f6\u7684\u53c2\u6570\uff0c\u6211\u4eec\u521a\u624d\u8bb2\u4e86\u3002\u6295\u5f71\u51fa\u6765\u7684\u4e09\u6761\u84dd\u7ebf\u5176\u5b9e\u5c31\u662fS_B,S_C,S_delta \u4e09\u4e2a\u9009\u62e9\u51fd\u6570\uff0c\u5171\u4eab\u4e00\u4e2a\u6295\u5f71\u6a21\u5757(Project)\uff0c\u4e3b\u8981\u662f\u4e3a\u4e86\u5b9e\u73b0\u53c2\u6570\u5171\u4eab\u548c\u8ba1\u7b97\u6548\u7387\u3002\u53f3\u8fb9\u7684 GPU SPAM\u3001HBM \u6211\u4eec\u7a0d\u7b49\u518d\u89e3\u91ca\uff0c\u4e3b\u8981\u548c\u786c\u4ef6\u5b9e\u73b0\u76f8\u5173\u3002<br>\u6765\u770b\u770b\u7b97\u6cd5\u4e0a\u662f\u600e\u4e48\u5b9e\u73b0\u7684\u3002\u5982\u4e0b\u9762\u53f3\u56fe\uff0c\u4e0d\u96be\u5c31\u662f\u5206\u522b\u7528\u4e09\u4e2aS\u51fd\u6570\u6839\u636e\u8f93\u5165\u628a B\/C\/delta\u90fd\u53d8\u6210\u4e86\u65f6\u53d8\u7684\uff0c\u8fd9\u5c31\u662f\u6240\u8c13\u7684\u201c\u63ba\u548c\u201c\u8fc7\u7a0b\uff0c\u5c31\u8fd9\u4e48\u7b80\u5355\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"322\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-13-1024x322.png\" alt=\"\" class=\"wp-image-15629\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-13-1024x322.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-13-300x94.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-13-768x242.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-13.png 1370w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"143\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-32-1024x143.png\" alt=\"\" class=\"wp-image-15705\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-32-1024x143.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-32-300x42.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-32-768x107.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-32.png 1382w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><br>       \u518d\u6253\u4e2a\u6bd4\u65b9\uff0c\u5de6\u8fb9\u5c31\u662f\u76f4\u63a5\u62ff\u4e00\u5957\u56fa\u5b9a\u7684\u914d\u65b9\u505a\u83dc\uff0c\u4e0d\u7ba1\u98df\u6750\u662f\u4ec0\u4e48\u3002\u53f3\u8fb9\u6bcf\u6b21\u4e0d\u540c\u7684\u98df\u6750\u8c03\u6574\u914d\u65b9\uff0c\u786e\u4fdd\u505a\u51fa\u6765\u7684\u83dc\u66f4\u9002\u5408\u5f53\u524d\u7684\u98df\u6750\u3002\u4f60\u8bf4\u54ea\u4e2a\u66f4\u9999\u5462?<\/p>\n\n\n\n<p>      \u8fd9\u4e48\u770b Mamba \u7684\u601d\u60f3\u4e5f\u4e0d\u590d\u6742\u554a\uff0c\u672c\u8d28\u4e0a\u5c31\u662f\u62ff LSTM \u7684\u95e8\u63a7\u601d\u60f3\u79fb\u690d\u5230\u4e86 SSM \u6a21\u578b\u4e0a\uff0c\u653e\u5f00\u4e86\u65f6\u4e0d\u53d8\u7684\u7ea6\u675f\u653e\u6210\u975e\u7ebf\u6027\u7cfb\u7edf\u3002\u3002<\/p>\n\n\n\n<p>\u6ce8\u610f:\u8fd9\u91cc\u7684 B\/L\/N\/D \u7b26\u53f7\u4e4d\u4e00\u770b\u8ba9\u4eba\u5f88\u56f0\u60d1\uff0c\u5176\u5b9e\u5c31\u662f\u5f20\u91cf\u7684\u7ef4\u5ea6\u3002<\/p>\n\n\n\n<p>B:\u6279\u6b21\u5927\u5c0f(Batch size)\u3002\u8868\u793a\u4e00\u6b21\u8f93\u5165\u7684\u6570\u636e\u91cf\u7684\u5927\u5c0f\u3002<\/p>\n\n\n\n<p class=\"has-light-pink-background-color has-background\"><strong>L:\u5e8f\u5217\u957f\u5ea6(Sequence length)\u3002\u8868\u793a\u6bcf\u4e2a\u5e8f\u5217\u4e2d\u5305\u542b\u7684\u65f6\u95f4\u6b65\u6570\u3002<\/strong><\/p>\n\n\n\n<p>N:\u7279\u5f81\u7ef4\u5ea6(Feature dimension)\u3002\u8868\u793a\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u7279\u5f81\u6570\u91cf<\/p>\n\n\n\n<p>D:\u8f93\u5165\u7279\u5f81\u7ef4\u5ea6(Inputfeature dimension)\u3002<\/p>\n\n\n\n<p>\u5bf9\u5de6\u8fb9\u7684\u4f20\u7edf SSM \u6a21\u578b\uff0c\u53c2\u6570\u77e9\u9635\u957f\u8fd9\u6837\uff0c\u90fd\u662f\u9759\u6b62\u7684<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"602\" height=\"225\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-14.png\" alt=\"\" class=\"wp-image-15631\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-14.png 602w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-14-300x112.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-15.png\" alt=\"\" class=\"wp-image-15633\" width=\"615\" height=\"321\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-15.png 615w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-15-300x157.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><figcaption><strong>Mamba \u7684\u53c2\u6570\u589e\u52a0\u4e86L\u8f93\u5165\u5e8f\u5217\u957f\u5ea6\uff0c\u56e0\u4e3a\u662f\u5e76\u884c\u8ba1\u7b97\uff0c\u4e14\u4e3a\u65f6\u53d8\u53c2\u6570\uff0c\u6240\u4ee5\u6bcf\u4e2a\u65f6\u95f4\u6b65\u7684\u53c2\u6570\u90fd\u4e0d\u540c\uff0c\u9700\u8981\u5b66\u4e60 L\u957f\u5e8f\u5217\u65f6\u95f4\u6b65\u957f\u7684\u53c2\u6570<\/strong><\/figcaption><\/figure>\n\n\n\n<p>\u5176\u4e2d\u6b65\u957f\u5927\u5c0f delta \u50cf\u662f\u4e2a\u653e\u5927\u955c\u89c2\u5bdf\u7a97\u53e3\uff0c\u5f71\u54cd\u4fe1\u606f\u5904\u7406\u7684\u7126\u70b9\u3002\u6b65\u957f\u8f83\u5c0f\u65f6\u6a21\u578b\u503e\u5411\u4e8e\u5ffd\u7565\u5177\u4f53\u7684\u5355\u8bcd\uff0c\u800c\u66f4\u591a\u5730\u4f9d\u8d56\u4e8e\u4e4b\u524d\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\u3002\u4f60\u53ef\u4ee5\u7b80\u5355\u7684\u8ba4\u4e3a\uff0c\u5c31\u662f\u9760\u7740\u5b83\uff0c\u5b9e\u73b0\u4e86\u6ce8\u610f\u529b\u7684\u9009\u62e9\u3002\u62ff\u7740\u653e\u5927\u955c\u5ffd\u8fdc\u5ffd\u8fd1\u7684\u770b\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-16.png\" alt=\"\" class=\"wp-image-15636\" width=\"431\" height=\"159\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-16.png 556w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-16-300x111.png 300w\" sizes=\"(max-width: 431px) 100vw, 431px\" \/><\/figure><\/div>\n\n\n\n<p>\u53e6\u5916\uff0c\u539f\u6587\u6ca1\u6709\u8be6\u7ec6\u89e3\u91ca\u8fd9\u51e0\u4e2a\u9009\u62e9\u51fd\u6570\uff0c\u8ba9\u4eba\u6709\u4e9b\u56f0\u60d1\u3002\u6211\u8fd9\u91cc\u90fd\u7ed9\u4f60\u8865\u4e0a\u4e86\u3002<br>SB(x)= LinearN(x),Sc(x)= LinearN(x),\u90fd\u662f\u7ebf\u6027\u6295\u5f71\uff0c\u8fd9\u662f\u79cd\u5e38\u89c1\u7684\u795e\u7ecf\u7f51\u7edc\u64cd\u4f5c\uff0c\u7528\u4e8e\u5c06\u8f93\u5165\u6570\u636e\u8f6c\u6362\u5230\u4e00\u4e2a\u65b0\u7684\u7a7a\u95f4\u6216\u7ef4\u5ea6\u3002\u8fd9\u91cc\u7684 Linear \u8868\u793a\u662f\u7528\u7ebf\u6027\u5c42\u6765\u5b66\u4e60\u8fd9\u51e0\u4e2a\u51fd\u6570\u3002<br>S\u0394(x)= BroadcastD(Linear(x)),\u5e7f\u64ad\u662f\u4e00\u4e2a\u6570\u7ec4\u64cd\u4f5c\uff0c\u5b83\u4f7f\u5f97\u7ef4\u5ea6\u8f83\u5c0f\u7684\u6570\u7ec4\u80fd<br>\u591f\u4e0e\u7ef4\u5ea6\u8f83\u5927\u7684\u6570\u7ec4\u8fdb\u884c\u7b97\u672f\u64cd\u4f5c\u3002<br>Ta= softplus,\u8fd9\u662f\u4e2a\u5e73\u6ed1\u7684\u975e\u7ebf\u6027\u51fd\u6570\uff0c\u901a\u5e38\u7528\u4e8e\u7f51\u7edc\u4e2d\u4ee5\u6dfb\u52a0\u975e\u7ebf\u6027\u7279\u5f81\u5e76\u5e2e\u52a9\u7f51\u7edc\u5b66\u4e60\u590d\u6742\u7684\u6a21\u5f0f\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-17.png\" alt=\"\" class=\"wp-image-15641\" width=\"268\" height=\"204\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-17.png 451w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-17-300x228.png 300w\" sizes=\"(max-width: 268px) 100vw, 268px\" \/><\/figure><\/div>\n\n\n\n<p>\u7ecf\u8fc7\u8fd9\u6837\u7684\u4f18\u5316\u8bbe\u8ba1\uff0c\u6700\u7ec8\u5e0c\u671b\u8fbe\u5230\u4e00\u4e2a\u4ec0\u4e48\u6837\u7684\u6548\u679c\u5462?\u56fe2\u7ed9\u4e86\u4e00\u4e2a\u793a\u610f\u56fe<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"383\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-18-1024x383.png\" alt=\"\" class=\"wp-image-15649\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-18-1024x383.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-18-300x112.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-18-768x287.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-18.png 1415w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u5de6\u8fb9\u662f LTI\u7684\u6548\u679c\uff0c\u8f93\u51fa\u53ea\u80fd\u5bf9\u89c4\u5219\u7684\u8f93\u5165\u7279\u5f81\u8fdb\u884c\u53d1\u73b0\uff0c\u800c\u53f3\u8fb9\u4e0a\u9762\u80fd\u81ea\u5df1\u627e\u91cd\u4e86\uff0c\u5e26\u8272\u7684\u5c3d\u7ba1\u5f00\u59cb\u95f4\u9694\u5927\u5c0f\u4e0d\u4e00\uff0c\u4f46\u90fd\u80fd\u627e\u51fa\u6765\u6392\u597d\u961f\u3002\u53f3\u4e0b\u662f\u8054\u60f3\u80fd\u529b\u7684\u4f53\u73b0\u518d\u770b\u5230\u9ed1\u7684\u540e\u5c31\u60f3\u5230\u4ee5\u524d\u540e\u9762\u5e94\u8be5\u8ddf\u7740\u84dd\u8272\u7684\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5bf9\u4e8e\u975e\u7ebf\u6027\u65f6\u53d8\u6570\u636e\u5907\u4e86\u5f88\u5f3a\u7684\u7279\u5f81\u6355\u6349\u80fd\u529b\u3002<\/p>\n\n\n\n<h3>3.\u6838\u5fc3\u539f\u7406:\u6d41\u4f53\u529b\u5b66\u4e0e\u674e\u6307\u6570\u6620\u5c04<\/h3>\n\n\n\n<p>\u660e\u767d\u4e86\u4e0a\u9762\u7684\u5185\u5bb9\uff0c\u4f60\u53ea\u80fd\u7b97\u662f\u77e5\u5176\u7136\uff0c\u8fd8\u6ca1\u6709\u77e5\u5176\u6240\u4ee5\u7136\u3002\u6897\u76f4\u54e5\u5e26\u4f60\u4ece\u66f4\u9ad8\u89d2\u5ea6\u6765\u7406\u89e3 Mamba \u7684\u7cbe\u9ad3\uff0c\u8fd9\u90e8\u5206\u5185\u5bb9\u7684\u7406\u89e3\u5176\u5b9e\u662f\u54e5\u7684\u53d1\u6325\uff0c\u5df2\u7136\u8d85\u51fa\u539f\u6587\u3002Transformer \u63cf\u8ff0\u7684\u662f\u7c92\u5b50\u8fd0\u52a8\uff0c\u901a\u8fc7\u81ea\u6ce8\u610f\u529b\u673a\u5236\u6620\u5c04\u52a8\u6001\u8c03\u6574\u6bcf\u4e2a\u8f93\u5165\u7684\u6743\u91cd\uff0c\u7c7b\u4f3c\u7c92\u5b50\u95f4\u901a\u8fc7\u725b\u987f\u529b\u5b66\u76f8\u4e92\u4f5c\u7528\u529b\u6765\u52a8\u6001\u8c03\u6574\u81ea\u5df1\u7684\u8f68\u8ff9\u3002\u8bad\u7ec3\u7684\u8fc7\u7a0b\uff0c\u5c31\u662f\u5728\u7528\u725b\u987f\u529b\u5b66\u62df\u5408\u7c92\u5b50\u8f68\u8ff9\uff0c\u6bcf\u4e2a\u8f93\u5165(\u7c92\u5b50)\u72ec\u7acb\u8ba1\u7b97\u4e0e\u5176\u4ed6\u8f93\u5165\u7684\u5173\u7cfb\u3002<br>\u800c Mamba \u63cf\u8ff0\u7684\u662f\u6d41\u4f53\u8fd0\u52a8\uff0c\u901a\u8fc7\u674e\u6307\u6570\u6620\u5c04\u6765\u5efa\u6a21\u65f6\u7a7a\u7ed3\u6784\u3002\u6d41\u4f53\u8fd0\u52a8\u63cf\u8ff0\u7684\u662f\u8fde\u7eed\u4ecb\u8d28\u4e2d\u7684\u5206\u5b50\u96c6\u4f53\u884c\u4e3a\uff0c\u8fd0\u52a8\u662f\u6574\u4f53\u7684\uff0c\u5185\u90e8\u5404\u70b9\u4e4b\u95f4\u6709\u5f3a\u70c8\u7684\u76f8\u4e92\u5173\u7cfb\u548c\u4f9d\u8d56\u3002\u6d41\u4f53\u7684\u6bcf\u4e2a\u90e8\u5206\u90fd\u53d7\u5230\u6574\u4f53\u6d41\u4f53\u8fd0\u52a8\u7684\u5f71\u54cd\uff0c\u901a\u8fc7\u5185\u90e8\u538b\u529b\u3001\u7c98\u6027\u7b49\u56e0\u7d20\u76f8\u4e92\u4f5c\u7528\u3002\u8fd9\u66f4\u7b26\u5408\u8bb0\u5fc6\u7684\u672c\u8d28\uff0c\u56e0\u4e3a\u8bb0\u5fc6\u7cfb\u7edf\u5177\u6709\u8fde\u7eed\u6027\u3001\u52a8\u6001\u53d8\u5316\u6027\u548c\u6574\u4f53\u5173\u8054\u6027\uff0c\u8fd9\u4e9b\u7279\u6027\u4e0e\u6d41\u4f53\u7684\u6027\u8d28\u975e\u5e38\u76f8\u4f3c\u3002\u6d41\u4f53\u6a21\u578b\u80fd\u591f\u66f4\u597d\u5730\u63cf\u8ff0\u8bb0\u5fc6\u4e2d\u7684\u4fe1\u606f\u5982\u4f55\u76f8\u4e92\u5173\u8054\u3001\u5982\u4f55\u968f\u7740\u65f6\u95f4\u548c\u65b0\u4fe1\u606f\u7684\u51fa\u73b0\u8fdb\u884c\u52a8\u6001\u8c03\u6574\u548c\u6574\u5408\u674e\u6307\u6570\u6620\u5c04(Lie exponential map)\u662f\u4e00\u79cd\u6570\u5b66\u5de5\u5177\uff0c\u7528\u4e8e\u63cf\u8ff0\u548c\u5206\u6790\u4e00\u4e2a\u5411\u91cf\u573a\u5982\u4f55\u6cbf\u7740\u53e6\u4e00\u4e2a\u5411\u91cf\u573a\u53d1\u751f\u53d8\u5316\uff0c\u6bd4\u5982\u6d41\u4f53\u529b\u5b66\u3001\u7535\u78c1\u573a\u3001\u5e7f\u4e49\u76f8\u5bf9\u8bba\u7684\u65f6\u7a7a\u7ed3\u6784\u7b49\u89e3\u51b3\u4e86\u52a8\u6001\u7cfb\u7edf\u4e2d\u76f8\u4e92\u4f5c\u7528\u7684\u63cf\u8ff0\u3002\u5b83\u662f\u7fa4\u8bba\u548c\u5fae\u5206\u51e0\u4f55\u4e2d\u91cd\u8981\u7684\u6982\u5ff5\uff0c\u6765\u6e90\u4e8e\u674e\u7fa4\u548c\u674e\u4ee3\u6570\u7684\u7406\u8bba\uff0c\u662f\u632a\u5a01\u6570\u5b66\u5bb6\u7d22\u83f2\u65af \u674e\u5f15\u5165\u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"842\" height=\"350\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-19.png\" alt=\"\" class=\"wp-image-15652\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-19.png 842w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-19-300x125.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-19-768x319.png 768w\" sizes=\"(max-width: 842px) 100vw, 842px\" \/><\/figure>\n\n\n\n<p>\u5982\u679c\u628a\u8bb0\u5fc6\u7684\u6d41\u6dcc\u6bd4\u4f5c\u4e00\u4e2a\u6c34\u6d41\u7ba1\u9053\u7cfb\u7edf\uff0c\u53ef\u4ee5\u770b\u505a\u4e00\u4e2a\u201c\u674e\u7fa4\u201d\uff0c\u8fdb\u884c\u5404\u79cd\u590d\u6742\u53d8\u6362(\u6bd4\u5982\u65cb\u8f6c\u3001\u63a8\u79fb\u7b49)\u3002\u56fa\u5b9a\u77e9\u9635A\u5c31\u662f\u4e3b\u7ba1\u9053(\u5168\u5c40\u6f14\u53d8\u8def\u5f84)\uff0c\u7c7b\u4f3c\u4e8e\u6d41\u4f53\u8fd0\u52a8\u7684\u5168\u5c40\u5173\u7cfb\uff0c\u8ba9\u7cfb\u7edf\u72b6\u6001\u66f4\u65b0\u6709\u56fa\u5b9a\u7684\u5168\u5c40\u8def\u5f84\u548c\u89c4\u5219\uff0c\u56e0\u6b64\u80fd\u8868\u73b0\u51fa\u66f4\u9ad8\u7684\u7075\u6d3b\u6027\u548c\u9002\u5e94\u6027\u3002Bt\/Ct\u5c31\u662f\u9600\u95e8\u6216\u65cb\u94ae\uff0cdelta\u8fd9\u4e2a\u79bb\u6563\u5316\u56e0\u5b50\uff0c\u5c31\u50cf\u662f\u6d41\u4f53\u529b\u5b66\u4e2d\u7684\u65f6\u95f4\u6b65\u957f\uff0c\u51b3\u5b9a\u6d41\u4f53\u8fd0\u52a8\u7684\u79bb\u6563\u65f6\u95f4\u70b9\u3002\u9009\u62e9\u673a\u5236\u5c31\u50cf\u662f\u6839\u636e\u5177\u4f53\u60c5\u51b5\u9009\u62e9\u548c\u8c03\u6574\u65cb\u94ae\uff0c\u63a7\u5236\u6d41\u4f53\u5728\u7ba1\u9053\u4e2d\u7684\u6d41\u52a8\u8def\u5f84\u3002<br>\u8bad\u7ec3 mamba \u7684\u8fc7\u7a0b\u5c31\u662f\u7528\u674e\u6307\u6570\u6620\u5c04\u62df\u5408\u6d41\u4f53\u529b\u5b66\u52a8\u6001\u7cfb\u7edf\uff0c\u627e\u5230\u4e3b\u7ba1\u9053 A\uff0c\u8c03\u6574\u9600\u95e8\u548c\u65cb\u94ae Bt\u3001Ct\u3001At\uff0c\u83b7\u5f97\u6700\u4f18\u6d41\u4f53\u6d41\u52a8\u8def\u5f84\uff0c\u8ba9\u6a21\u578b\u80fd\u5728\u9ad8\u7ef4\u7279\u5f81\u7a7a\u95f4\u4e2d\u8fdb\u884c\u9ad8\u6548\u5bfc\u822a\u548c\u51b3\u7b56\u3002<br>\u60f3\u8c61\u4e00\u4e0b:\u4f60\u7ad9\u5728\u8f93\u5165 x_t\u548c\u9690\u72b6\u6001 h_t-1\u6784\u6210\u7684\u5411\u91cf\u573a\u4e2d\uff0c\u987a\u7740\u8bb0\u5fc6\u7bad\u5934(h_t-1\u7684\u66f4\u65b0\u65b9\u5411)\u7684\u65b9\u5411\u8d70\uff0c\u770b\u5176\u4ed6\u7bad\u5934(\u7cfb\u7edf\u5404\u90e8\u5206)\u662f\u5982\u4f55\u53d8\u5316\u7684\u3002\u8fd9\u5c31\u662f\u6d41\u4f53\u529b\u5b66\u4e2d\u5411\u91cf\u573a\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002<\/p>\n\n\n\n<p>Transformer \u7684\u81ea\u6ce8\u610f\u529b\u673a\u5236\u7c92\u5b50\u8fd0\u52a8\u5f3a\u8c03\u4e2a\u4f53\u7684\u72ec\u7acb\u6027\u548c\u52a8\u6001\u8c03\u6574\uff0c\u7075\u6d3b\u6027\u9ad8\uff0c\u80fd\u52a8\u6001\u8c03\u6574\u6743\u91cd\uff0c\u6355\u6349\u590d\u6742\u7684\u4e0a\u4e0b\u6587\u4f9d\u8d56\u5173\u7cfb\uff0c\u4f46\u8ba1\u7b97\u590d\u6742\u5ea6\u9ad8\uff0c\u8d44\u6e90\u6d88\u8017\u5927\u3002Mamba\u6d41\u4f53\u8fd0\u52a8\u5f3a\u8c03\u6574\u4f53\u7684\u8fde\u7eed\u6027\u548c\u5168\u5c40\u5173\u7cfb\uff0c\u501f\u7528\u72ec\u7279\u7684\u77e9\u9635 A\u7684\u56fa\u5b9a\u6027\uff0c\u63d0\u4f9b\u4e86\u7a33\u5b9a\u6027\u548c\u786e\u5b9a\u6027\uff0c\u901a\u8fc7\u674e\u6307\u6570\u6620\u5c04\u5b9e\u73b0\u9ad8\u6548\u72b6\u6001\u66f4\u65b0\u548c\u51b3\u7b56\u3002<br>\u6211\u567b\uff0c\u7ed5\u4e86\u8fd9\u4e48\u5927\u4e00\u4e2a\u5f2f\u5b50\uff0c\u5176\u5b9e\u5c31\u662f\u5728\u539f\u6765\u7684 RNN \u7ed3\u6784\u4e0a\u589e\u52a0\u4e86\u4e00\u4e9b\u7c7b\u4f3c LSTM \u7684\u95e8\u63a7\u673a\u5236\u561b\u3002idea \u867d\u7136\u4e0d\u96be\uff0c\u4f46\u96be\u5728\u8ba4\u77e5\u6df1\u5ea6\u662f\u5426\u5230\u4f4d\uff0c\u662f\u5426\u80fd\u591f\u4e3e\u4e00\u53cd\u4e09\u3002\u6b64\u5916\uff0c\u9b54\u9b3c\u5728\u7ec6\u8282\uff0c\u660e\u767d\u4e86\u6838\u5fc3\u601d\u60f3\uff0c\u6211\u4eec\u63a5\u7740\u518d\u6765\u770b\u4e0b\u3002<\/p>\n\n\n\n<h3>4.\u5b9e\u73b0\u7ec6\u8282\u548c\u7f51\u7edc\u7ed3\u6784<\/h3>\n\n\n\n<p>     <strong>\u8fd9\u90e8\u5206\u4e3b\u8981\u7814\u7a76\u5982\u4f55\u5145\u5206\u5229\u7528 GPU \u5b9e\u73b0\u9009\u62e9\u6027 SSM \u7684\u5e76\u884c\u8ba1\u7b97\uff0c\u4e5f\u5c31\u662f\u524d\u9762\u7684\u56fe\u548c\u7b97\u6cd5\u3002<\/strong>\u539f\u6587\u7ec6\u8282\u5f88\u591a\uff0c\u5927\u91cf\u5f15\u7528\u4e86\u524d\u4eba\u7684\u5de5\u4f5c\uff0c\u8bfb\u8d77\u6765\u6709\u4e9b\u8d39\u52b2\uff0c\u5c24\u5176\u5728\u6ca1\u6709\u9605\u8bfb\u4e4b\u524d\u6587\u7ae0\u7684\u60c5\u51b5\u4e0b\u3002<br>     \u7b80\u5355\u8bf4\uff0c\u5c31\u662f\u52aa\u529b\u89e3\u51b3\u597d\u201c\u65e2\u8981\u53c8\u8981\u201d\u201c\u7684\u95ee\u9898\uff0c\u8981\u7acb\u53c8\u8981\u5f53\u7acb\u4f4f\u8868\u73b0\u529b\u5f3a\u7684\u4eba\u8bbe\u9700\u8981\u9690\u72b6\u6001\u7ef4\u5ea6\u591f\u5927\uff0c\u800c\u8981\u5f53\uff0c\u901f\u5ea6\u548c\u5185\u5b58\u4e0d\u80fd\u727a\u7272\u3002<strong>\u4e3a\u6b64\uff0c\u63d0\u51fa\u4e86\u4e09\u79cd\u521b\u65b0\u7684\u89e3\u51b3\u65b9\u6848:\u5185\u6838\u878d\u5408\u3001\u5e76\u884c\u626b\u63cf\u548c\u91cd\u8ba1\u7b97\u3002<\/strong><\/p>\n\n\n\n<p>1)\u6240\u8c13\u7684\u5185\u6838\u878d\u5408:\u5c31\u662f\u628a\u79bb\u6563\u5316\u548c\u5faa\u73af\u5728 GPU SRAM \u5185\u5b58\u4e2d\u5b9e\u73b0\uff0c\u5feb\u7136\u540e\u52a0\u8f7d\u548c\u5b58\u50a8\u53c2\u6570 ABC\u77e9\u9635\u90fd\u7528 HBM \u9ad8\u5e26\u5bbd\u5185\u5b58\u3002\u8fd9\u4fe9\u7b80\u5199\u5bf9 GPU \u4e0d\u719f\u7684\u540c\u5b66\u53ef\u80fd\u4e0d\u77e5\u9053\uff0c\u5176\u5b9e\u5c31\u662f\u4e00\u79cd\u5206\u5c42\u63d0\u5347\u6548\u7387\u7684\u65b0\u6280\u672f\uff0c\u524d\u8005\u5feb\u4f46\u5185\u5b58\u5e26\u5bbd\u5c0f\uff0c\u540e\u8005\u6162\u4f46\u662f\u5e26\u5bbd\u5927\u3002\u8fd9\u662f\u968f\u7740 AI\u5d1b\u8d77\u7684\u82af\u7247\u65b0\u6280\u672f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"828\" height=\"266\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-20.png\" alt=\"\" class=\"wp-image-15661\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-20.png 828w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-20-300x96.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-20-768x247.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-20-825x266.png 825w\" sizes=\"(max-width: 828px) 100vw, 828px\" \/><\/figure>\n\n\n\n<p>2)\u5e76\u884c\u626b\u63cf:\u8fd9\u662f\u5565\u610f\u601d\u5462?\u672c\u6765 SSM \u597d\u4e0d\u5bb9\u6613\u80fd\u7528\u5377\u79ef\u5e76\u884c\u8fd0\u7b97\u4e86\uff0c\u4f46\u662f\u653e\u5f00 LTI\u5047\u8bbe\u540e\u53c8\u56de\u5f52 RNN \u52a8\u6001\u6a21\u578b\uff0c\u6bcf\u6b21 Bt\u4e0d\u4e00\u6837\u5bfc\u81f4\u5e76\u884c\u5377\u79ef\u4e0d\u884c\u4e86\u3002Mamba\u4e3a\u6b64\u505a\u4e86\u6539\u8fdb\uff0c\u63d0\u51fa\u4e86\u5e76\u884c\u626b\u63cf\u6280\u672f\uff0cscan \u5c31\u662f\u64cd\u4f5c\u6216\u5904\u7406\u7684\u610f\u601d\uff0c<br>       \u539f\u6587\u57fa\u672c\u770b\u4e0d\u61c2\u5230\u5e95\u5e72\u4e86\u4ec0\u4e48\u600e\u4e48\u5b9e\u73b0\u7684\uff0c\u770b\u4e0b\u56fe\u4e5f\u5f88\u96be\u7406\u89e3\u3002\u6211\u4eba\u8bdd\u8bb2\u4e0b\u5c31\u61c2\u4e86\u6bcf\u4e2a\u72b6\u6001 H\u76f8\u5f53\u4e8e\u4e00\u4e2a\u4eba\uff0c\u770b\u5b83\u5bf9\u5e94\u7684\u8fd9\u6761\u5904\u7406\u7ebf\u7a0b\u3002\u81ea\u5df1\u5fd9\u6d3b\u81ea\u5df1\u7684\uff0c\u5403\u7740\u7897\u91cc\u770b\u7740\u9505\u91cc\uff0c\u5f53\u522b\u4eba\u7684\u996d\u505a\u597d\u540e\uff0c\u5c31\u62a2\u8fc7\u6765\u7528\u4e00\u4e0b\uff0c\u6240\u4ee5\u67d0\u79cd\u7a0b\u5ea6\u4e0a\u5b9e\u73b0\u4e86\u5e76\u884c\u8ba1\u7b97\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-21.png\" alt=\"\" class=\"wp-image-15665\" width=\"506\" height=\"338\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-21.png 683w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-21-300x200.png 300w\" sizes=\"(max-width: 506px) 100vw, 506px\" \/><\/figure><\/div>\n\n\n\n<p>3)\u91cd\u8ba1\u7b97:\u8fd9\u6b65\u662f\u4e3a\u4e86\u907f\u514d\u5b58\u50a8\u53cd\u5411\u4f20\u64ad\u6240\u9700\u7684\u4e2d\u95f4\u72b6\u6001\uff0c\u5728\u8f93\u5165\u4ece HBM \u52a0\u8f7d\u5230SRAM \u65f6\u5728\u53cd\u5411\u901a\u9053\u4e2d\u91cd\u8ba1\u7b97\u3002\u8fd9\u90e8\u5206\u7684\u66f4\u591a\u7ec6\u8282\u5728\u9644\u5f55 D\u4e2d\u3002\u7b80\u5355\u5c0f\u7ed3:\u8fd9\u90e8\u5206\u8bb2\u89e3\u7684\u5c31\u662f\u5185\u5b58\u7ba1\u7406\u3001\u5e76\u884c\u8ba1\u7b97\u548c\u52a8\u6001\u8ba1\u7b97\u65b9\u9762\u7684\u6267\u884c\u7ec6\u8282\u3002\u5f00\u59cb\u770b\u4e0d\u61c2\u4e0d\u5f71\u54cd\u6574\u7bc7\u6587\u7ae0\u4e3b\u4f53\u5185\u5bb9\u7684\u7406\u89e3\u3002\u53ef\u4ee5\u5148\u653e\u653e\u3002<br><\/p>\n\n\n\n<p>        \u597d\uff0c\u5230\u8fd9\u91cc\u6211\u4eec\u603b\u7b97\u628a Mamba \u7684\u6838\u5fc3\u539f\u7406\u8bb2\u5b8c\u4e86\uff0c\u90a3\u5b83\u7684\u7f51\u7edc\u7ed3\u6784\u5177\u4f53\u662f\u600e\u4e48\u5b9e\u73b0\u7684\u5462?\u662f\u4e0d\u662f\u6709\u70b9\u201c\u5e72\u547c\u4e07\u5524\u59cb\u51fa\u6765\uff0c\u72b9\u62b1\u7435\u7436\u534a\u906e\u9762\u201d\u3002<br>       &#8220;Mamba&#8221;\u8fd9\u4e2a\u540d\u5b57\u6765\u6e90\u4e8e\u9ed1\u66fc\u5df4\u86c7 (Black Mamba)\uff0c\u4ee5\u901f\u5ea6\u548c\u81f4\u547d\u8457\u79f0\u3002\u8fd9\u79cd\u547d\u540d\u610f\u5728\u4f20\u8fbe\u8be5\u67b6\u6784\u7684\u901f\u5ea6\u3001\u7075\u6d3b\u6027\u548c\u9ad8\u6548\u6027\uff0c\u53cd\u6620\u51fa\u5b83\u5728\u5904\u7406\u548c\u8f6c\u6362\u6570\u636e\u65b9\u9762\u7684\u5f3a\u5927\u80fd\u529b\u3002\u5176\u5b9e\u5c31\u662f\u524d\u9762 selective SSM \u7684\u4e00\u79cd\u5177\u4f53\u5b9e\u73b0\u6216\u8005\u8bf4\u5c01\u88c5\u3002<br>         \u770b\u4e0b\u9762\u4e24\u5e45\u56fe\u5c31\u90fd\u660e\u767d\u4e86\u3002\u539f\u6587\u7ed9\u51fa\u7684\u8fd9\u5e45\u56fe\u8bb2\u89e3\u4e86\u5b83\u7684\u6765\u6e90\uff0c\u7f51\u7edc\u7ed3\u6784\u5ef6\u7eed\u4e86 H3 \u4f5c\u4e3a\u6807\u51c6\u7684 SSM \u6a21\u578b\u7684\u5b9e\u73b0\uff0c\u7b80\u5355\u8bf4\u5c31\u662f\u7528\u7ebf\u6027\u6295\u5f71+\u5377\u79ef +SSM\uff0c\u8fd9\u4e2a\u53ea\u9002\u7528\u4e8e LTI \u7cfb\u7edf\u3002\u73b0\u5728\u6539\u6210\u65f6\u53d8\u7cfb\u7edf\u4e86\uff0c\u600e\u4e48\u5f04\uff0c\u53c8\u501f\u9274\u4e86\u95e8\u63a7 MLP\u7684\u6267\u884c\uff0c\u901a\u8fc7\u68af\u5f62\u7684\u6295\u5f71\u64cd\u4f5c\u5b9e\u73b0\u6570\u636e\u51c6\u5907\u3002\u4e8c\u8005\u5408\u6210\u7684 mamba\u5c31\u662f\u53f3\u8005\u3002\u9664\u4e86\u68af\u5f62\u5916\uff0c\u8fd8\u6709\u6fc0\u6d3b\u51fd\u6570\u8fdb\u4e00\u6b65\u5b9e\u73b0\u975e\u7ebf\u6027\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"813\" height=\"323\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-22.png\" alt=\"\" class=\"wp-image-15670\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-22.png 813w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-22-300x119.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-22-768x305.png 768w\" sizes=\"(max-width: 813px) 100vw, 813px\" \/><\/figure>\n\n\n\n<p>\u4e0b\u56fe\u662f\u653e\u5927\u7248\uff0c\u770b\u7684\u66f4\u6e05\u695a\uff0c\u4fee\u6539\u4e86\u4e00\u4e0b\u5b83\u7528\u7ebf\u6027\u6295\u5f71\u5b9e\u73b0\u7ef4\u5ea6\u8c03\u6574\uff0c\u4ee5\u53ca\u90e8\u5206\u7279\u5f81\u63d0\u53d6\u4e0e\u8f6c\u6362\uff0c\u8f93\u51fa\u65f6\u7528\u4e8e\u6570\u636e\u538b\u7f29\u3002\u589e\u52a0\u4e86\u5377\u79ef\u5c42\u6355\u6349\u5c40\u90e8\u7684\u65f6\u95f4\u4f9d\u8d56\u6027<\/p>\n\n\n\n<p>Selective ssM(\u72b6\u6001\u7a7a\u95f4\u6a21\u578b)\u76f8\u5f53\u4e8e\u628a\u65f6\u5e8f\u94fe\u6761\u53c8\u6298\u53e0\u56de\u53bb\uff0c\u809a\u5b50\u91cc\u5305\u542b\u4e86sA(x)\u548c T_\u0394\u3002\u7528\u6765\u6355\u83b7\u66f4\u5e7f\u6cdb\u7684\u4f9d\u8d56\u6027\uff0c\u5305\u62ec\u957f\u8ddd\u79bb\u7684\u65f6\u95f4\u4f9d\u8d56\u6027\u548c\u590d\u6742\u7684\u5185\u5bb9\u4f9d\u8d56\u5173\u7cfb\u3002Silu \u51fd\u6570\u4e0e\u7b97\u6cd5\u4e2d\u7684 softplus \u51fd\u6570\u7c7b\u4f3c\uff0c\u90fd\u662f\u7528\u6765\u589e\u52a0\u975e\u7ebf\u6027\u3002\u5176\u5b9e\u8fd9\u4e2a silu \u662f\u5de5\u7a0b\u4e0a\u4eba\u4e3a\u8fdb\u4e00\u6b65\u589e\u52a0\u7684\u975e\u7ebf\u6027\uff0c\u589e\u5f3a\u6a21\u578b\u8868\u8fbe\u529b\u3002\u6b64\u5916\uff0c\u589e\u52a0\u5377\u79ef\u6a21\u5757\u662f\u4e3a\u4e86\u6355\u83b7\u5c40\u90e8\u65f6\u7a7a\u7279\u5f81\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-23.png\" alt=\"\" class=\"wp-image-15677\" width=\"579\" height=\"483\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-23.png 677w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-23-300x250.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/figure><\/div>\n\n\n\n<p>        \u5c01\u88c5\u540e\u5c31\u662f\u4e00\u4e2a\u7684\u6a21\u5757\uff0c\u5982\u540c transformer \u7684 decoder \u4e00\u6837\u53ef\u4ee5\u5b9e\u73b0\u8fdb\u4e00\u6b65\u7684\u5806\u53e0\uff0c\u5f62\u6210\u5927\u6a21\u578b\u3002\u628a\u8fd9\u4e2a\u6a21\u5757\u548c\u524d\u9762\u7684\u6846\u56fe\u5bf9\u6bd4\u5b66\u4e60\uff0c\u540c\u65f6\u8981\u6e05\u695a\u7684\u610f\u8bc6\u5230\u54ea\u91cc\u662f\u5bf9\u5e94\u7684\u54ea\u4e9b\u662f\u5de5\u7a0b\u5316\u6dfb\u52a0\u7684\u8fb9\u89d2\u6599\u3002\u5f53\u7136\uff0c\u8fd9\u4e5f\u662f\u4e3a\u5565\u518d\u5355\u72ec\u8d77\u4e00\u4e2a\u540d\u5b57 Mamba \u7684\u539f\u56e0\u6bd5\u7adf\u548c\u524d\u9762\u8bb2\u7684 selective ssM \u4e0d\u5b8c\u5168\u4e00\u6837\u4e86\u3002<br>        \u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6211\u4eec\u5df2\u7ecf\u8bb2\u5b8c\u4e86 3.4 \u90e8\u5206\uff0c\u539f\u6587 3.5 \u90e8\u5206\u662f\u5bf9\u4e0a\u8ff0\u7ed3\u6784\u7684\u4e00\u4e9b\u66f4\u5177\u4f53\u89e3\u91ca\uff0c\u5305\u62ec\u5728\u7279\u5b9a\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u9000\u5316\u4e3a\u7c7b\u4f3c RNN \u95e8\u63a7\u673a\u5236\u3002\u518d\u770b\u540e\u9762\u5173\u4e8e\u9009\u62e9\u673a\u5236\u7684\u89e3\u91ca\uff0c\u8fd9\u7bc7\u6587\u7ae0\u7684\u4e00\u5927\u7279\u70b9\u5c31\u662f\u65c1\u5f81\u535a\u5f15\uff0c\u8bf4\u5b9e\u8bdd\u8bfb\u8d77\u6765\u4e0d\u592a\u5bb9\u6613\uff0c\u4f30\u8ba1\u5f88\u5c11\u6709\u4eba\u80fd\u539f\u6c41\u539f\u5473\u7684\u8bfb\u61c2\uff0c\u5927\u591a\u6570\u90fd\u5728\u9053\u542c\u9014\u8bf4\u6216\u8005\u76f4\u63a5\u8c03\u5e93\u62c9\u5012\u3002\u4f46\u771f\u61c2\u4e86\uff0c\u4f60\u7684\u8ba4\u77e5\u7edd\u5bf9\u4e0d\u4e00\u6837\u3002\u8fd9\u90e8\u5206\u6d89\u53ca\u66f4\u7ec6\u7684\u4e00\u4e9b\u5185\u5bb9\uff0c\u4e0d\u5efa\u8bae\u4e00\u5f00\u59cb\u4e00\u731b\u5b50\u624e\u592a\u6df1\u5bb9\u6613\u6655\uff0c\u5148\u6293\u6574\u4f53\u903b\u8f91\u3002<br><\/p>\n\n\n\n<p>\u63a5\u4e0b\u6765\u770b\u770b\u5b9e\u9a8c\u5185\u5bb9\u3002<\/p>\n\n\n\n<h2>\u56db\u3001\u5b9e\u9a8c<\/h2>\n\n\n\n<p>         \u5bf9\u6bd4 transformer\/RNN\u548cMamba \u7684\u8bad\u7ec3\u4e0e\u63a8\u7406\u6027\u80fd\u3002transformer \u8bad\u7ec3\u5feb\u63a8\u7406\u6162\uff0cRNN \u8bad\u7ec3\u6162\u63a8\u7406\u5feb\uff0cMamba\u7ed3\u5408\u4e86\u4e8c\u8005\u7684\u4f18\u70b9\uff0c\u90fd\u5feb\u3002\u5b9e\u9a8c\u90e8\u5206\u5f88\u5168\u9762\u4e5f\u662f\u4e00\u5927\u7279\u70b9\u3002\u6211\u4eec\u91cd\u70b9\u770b\u7ed3\u8bba\u3002<\/p>\n\n\n\n<h3>1.\u5408\u6210\u4efb\u52a1\u9a8c\u8bc1\u9009\u62e9\u673a\u5236<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"871\" height=\"356\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-24.png\" alt=\"\" class=\"wp-image-15681\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-24.png 871w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-24-300x123.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-24-768x314.png 768w\" sizes=\"(max-width: 871px) 100vw, 871px\" \/><\/figure>\n\n\n\n<p>\u9009\u62e9\u6027\u590d\u5236\u4efb\u52a1\u8981\u6c42\u6a21\u578b\u80fd\u591f\u8bb0\u4f4f\u5e76\u590d\u5236\u5e8f\u5217\u4e2d\u7684\u7279\u5b9a\u5355\u8bcd\u3002\u8868- Mamba \u67b6\u6784\u4e0e\u9009\u62e9\u6027\u673a\u5236\u7ed3\u5408\u540e\u7684\u8868\u73b0\u4f18\u79c0\uff0c(S6):\u51c6\u786e\u7387\u4e3a 99.8\u6269\u5c55\u5e8f\u5217\u957f\u5ea6\u4efb\u52a1\u8981\u6c42\u6a21\u578b\u770b\u5230\u4e00\u4e2a\u4e8c\u5143\u7ec4(\u5982\u201cHarry Potter\u201d)\u65f6\uff0c\u80fd\u591f\u8bb0\u4f4f\u201cHarry\u5e76\u5728\u5e8f\u5217\u4e2d\u518d\u6b21\u51fa\u73b0\u65f6\u9884\u6d4b\u201cPotter\u201d\u3002Mamba\u67b6\u6784\uff0c\u4e5f\u5c31\u662f\u6700\u4e0a\u9762\u7684\u68d5\u8272\u7ebf\uff0c\u6bd4\u5176\u4ed6\u65b9\u6cd5\u8981\u597d\u4e24\u500d\u3002<\/p>\n\n\n\n<h3>2\u3001\u8bed\u8a00\u6a21\u578b\u9884\u8bad\u7ec3<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"839\" height=\"275\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-25.png\" alt=\"\" class=\"wp-image-15685\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-25.png 839w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-25-300x98.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-25-768x252.png 768w\" sizes=\"(max-width: 839px) 100vw, 839px\" \/><\/figure>\n\n\n\n<p>\u5de6\u56fe\u662f\u8f83\u77ed\u53f3\u56fe\u662f\u8f83\u957f\u7684\u5e8f\u5217\u957f\u5ea6\uff0c<br>\u5bf9\u6bd4\u4e86\u4e0d\u540c\u6a21\u578b\uff0c\u6a2a\u8f74\u4e3a FLOPs \u8ba1\u7b97\u590d\u6742\u5ea6\u7531\u4f4e\u5230\u9ad8\uff0c\u7eb5\u8f74\u4e3a\u56f0\u60d1\u5ea6 Mamba \u6a21\u578b\u6700\u4f4e\u3002\u5b83\u662f\u7b2c\u4e00\u4e2a\u65e0\u9700\u6ce8\u610f\u529b\u673a\u5236\u5c31\u80fd\u5728\u6269\u5c55\u5b9a\u5f8b scaling Laws \u4e0a\u5339\u654c\u5f3a\u5927Transformer++\u6a21\u578b\u7684\u67b6\u6784\u3002<\/p>\n\n\n\n<h3>3.DNA \u5e8f\u5217<\/h3>\n\n\n\n<p>        \u7531\u4e8e\u5927\u578b\u8bed\u8a00\u6a21\u578b\u7684\u6210\u529f\uff0c\u4eba\u4eec\u5f00\u59cb\u63a2\u7d22\u5c06\u57fa\u7840\u6a21\u578b\u8303\u5f0f\u5e94\u7528\u4e8e\u57fa\u56e0\u7ec4\u5b66\u3002DNA\u88ab\u89c6\u4e3a\u4e00\u79cd\u7531\u6709\u9650\u8bcd\u6c47\u7ec4\u6210\u7684\u79bb\u6563\u5e8f\u5217\uff0c\u9700\u8981\u6a21\u578b\u5904\u7406\u957f\u7a0b\u4f9d\u8d56\u3002\u5b9e\u9a8c\u548c\u56fe\u8868\u5c55\u793a\u4e86Mamba \u67b6\u6784\u5728 DNA \u5efa\u6a21\u4efb\u52a1\u4e2d\u7684\u5353\u8d8a\u6027\u80fd\uff0c\u7279\u522b\u662f\u5728\u5904\u7406\u957f\u5e8f\u5217\u548c\u6269\u5c55\u6a21\u578b\u5927\u5c0f\u65b9\u9762\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"830\" height=\"475\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-26.png\" alt=\"\" class=\"wp-image-15689\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-26.png 830w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-26-300x172.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-26-768x440.png 768w\" sizes=\"(max-width: 830px) 100vw, 830px\" \/><\/figure>\n\n\n\n<p>\u6a2a\u8f74\u4e3a\u53c2\u6570\u91cf\uff0c\u7eb5\u8f74\u4e3a\u56f0\u60d1\u5ea6\u3002Mamba(\u6a59\u8272\u7ebf)\u7684\u56f0\u60d1\u5ea6\u5de6\u56fe\u968f\u7740\u53c2\u6570\u6570\u91cf\u7684\u589e\u52a0(\u4ece\u7ea6 200K \u5230\u7ea6 40M)\u663e\u8457\u4e0b\u964d\uff0c\u53f3\u56fe\u968f\u7740\u5e8f\u5217\u957f\u5ea6\u4fdd\u6301\u7a33\u5b9a\u3002\u4e0b\u9762\u662f\u7269\u79cd DNA\u5206\u7c7b\u4efb\u52a1\u7684\u5fae\u8c03\u51c6\u786e\u7387\u548c\u4e0d\u540c\u6570\u636e\u96c6\u4e0a\u7684\u6269\u5c55\u5b9a\u5f8b\u3002\u968f\u5e8f\u5217\u957f\u5ea6\uff0cMamba\u6027\u80fd\u66f4\u597d\u3002<br><\/p>\n\n\n\n<h3>4.\u97f3\u9891\u4f8b\u5b50<\/h3>\n\n\n\n<p>\u97f3\u9891\u6ce2\u5f62\u5efa\u6a21\u548c\u751f\u6210\u95ee\u9898\u4e5f\u662f\u5e8f\u5217\u5efa\u6a21\u4efb\u52a1\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"364\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-27-1024x364.png\" alt=\"\" class=\"wp-image-15690\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-27-1024x364.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-27-300x107.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-27-768x273.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-27.png 1398w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3>5.\u8bad\u7ec3\u63a8\u7406\u6548\u7387\u5206\u6790<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"845\" height=\"261\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-28.png\" alt=\"\" class=\"wp-image-15693\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-28.png 845w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-28-300x93.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-28-768x237.png 768w\" sizes=\"(max-width: 845px) 100vw, 845px\" \/><\/figure>\n\n\n\n<p>\u8bad\u7ec3\u6548\u7387:Mamba \u7684\u626b\u63cf\u5b9e\u73b0\u6bd4\u6807\u51c6\u5b9e\u73b0\u5feb 40 \u500d\uff0c\u5904\u7406\u957f\u5e8f\u5217\u65f6\u65f6\u95f4\u589e\u957f\u6700\u6162(\u6a59\u7ebf)\u3002\u5bf9\u6bd4\u84dd\u7ebf\uff0c\u6700\u53f3\u8fb9512\u65f6\uff0c1ms\/0.025ms=40\u500d<br>\u00b7\u63a8\u7406\u6548\u7387:Mamba \u5728\u63a8\u7406\u9636\u6bb5\u7684\u541e\u5410\u91cf\u6bd4Transformers \u9ad85\u500d\uff0c\u7279\u522b\u662f\u5728\u5927\u6279\u6b21\u5904\u7406\u65f6\uff0c\u663e\u8457\u4f18\u4e8e\u5176\u4ed6\u6a21\u578b\u3002\u84dd\u8272\u6761\u7684\u9ad8\u5ea6\u660e\u663e\u9ad8\u4e8e\u5176\u4ed6\u6a21\u578b\u3002\u6b64\u5916\uff0c\u6587\u7ae0\u6700\u540e\u8fd8\u7ed9\u51fa\u4e86\u6d88\u878d\u5b9e\u9a8c\u5206\u6790\u67b6\u6784\u3002<\/p>\n\n\n\n<h3>6.\u6d88\u878d\u5b9e\u9a8c\u5206\u6790<\/h3>\n\n\n\n<p>\u4e3b\u8981\u7ed3\u8bba\u5305\u62ec:<br>\u0394\u662f\u6700\u91cd\u8981\u7684\u53c2\u6570\uff0c\u5176\u6b21\u662fB\u548cC\u7684\u7ec4\u5408\u4f7f\u7528\uff0c\u8fd9\u4e2a\u597d\u7406\u89e3\uff0c\u9009\u62e9\u6027\u4e3b\u8981\u5c31\u9760\u5b83\u6765\u786e\u5b9a\u51e0\u4e2a\u51fd\u6570S_B,S_C,S_delta\u3002\u968f\u673a\u521d\u59cb\u5316\u8868\u73b0\u8f83\u597d\uff0c\u590d\u6742\u521d\u59cb\u5316\u6548\u679c\u8f83\u5dee\u3002\u589e\u5927 N(SSM \u72b6\u6001\u7ef4\u5ea6)\u663e\u8457\u6539\u5584\u6027\u80fd\uff0c\u6210\u672c\u589e\u52a0\u5fae\u4e4e\u5176\u5fae\uff0c\u4f46\u53ea\u6709\u5728B\u548cC\u4e5f\u9009\u62e9\u6027\u65f6\u624d\u6709\u6548\u3002\u8fd9\u4e9b\u53d1\u73b0\u9a8c\u8bc1\u4e86\u9009\u62e9\u6027 SSM \u5728\u8bed\u8a00\u5efa\u6a21\u4efb\u52a1\u4e2d\u7684\u6709\u6548\u6027\u548c\u4f18\u52bf\u3002<\/p>\n\n\n\n<h2>\u4e94\u3001\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<p class=\"has-bright-blue-background-color has-background\">GitHub\uff1ahttps:\/\/github.com\/state-spaces\/mamba<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"1011\" height=\"850\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-29.png\" alt=\"\" class=\"wp-image-15695\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-29.png 1011w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-29-300x252.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-29-768x646.png 768w\" sizes=\"(max-width: 1011px) 100vw, 1011px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-30.png\" alt=\"\" class=\"wp-image-15696\" width=\"586\" height=\"600\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-30.png 836w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-30-293x300.png 293w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-30-768x787.png 768w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-31.png\" alt=\"\" class=\"wp-image-15698\" width=\"524\" height=\"294\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-31.png 774w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-31-300x169.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2024\/06\/image-31-768x433.png 768w\" sizes=\"(max-width: 524px) 100vw, 524px\" \/><\/figure><\/div>\n\n\n\n<p>Mamba \u7c7b:<br>\u4e3b\u8981\u7528\u4e8e\u5b9e\u73b0\u9009\u62e9\u6027\u72b6\u6001\u7a7a\u95f4\u6a21\u578b(SSM)\uff0c\u901a\u8fc7\u4e00\u7ef4\u5377\u79ef\u548c\u72b6\u6001\u66f4\u65b0\u6765\u5904\u7406\u8f93\u5165\u7279\u5f81\u3002<br>\u4f7f\u7528\u7ebf\u6027\u6295\u5f71\u548c\u6fc0\u6d3b\u51fd\u6570\u6765\u8c03\u6574\u7279\u5f81\u7ef4\u5ea6\u548c\u8ba1\u7b97\u65f6\u95f4\u6b65\u957f\u3002<br>\u901a\u8fc7\u9009\u62e9\u6027\u626b\u63cf\u51fd\u6570\u6765\u9ad8\u6548\u5730\u66f4\u65b0\u72b6\u6001\u3002<\/p>\n\n\n\n<h2>\u516d\u3001\u5c0f\u7ed3\u4e0e\u63a2\u8ba8<\/h2>\n\n\n\n<ol><li>Transformer\u6ce8\u610f\u529b\u673a\u5236\u7684\u7a97\u53e3\u5c0f\u4e86\u6548\u679c\u5dee\uff0c\u5927\u4e86\u8ba1\u7b97\u590d\u6742\u5ea6\u5e73\u65b9\u66b4\u6da8\uff0c\u7684\u6b7b\u7a74:\u4e24\u96be\u3002\u65f6\u5e8f\u95ee\u9898\u7a7a\u95f4\u5316\u51fa\u73b0\u4e86\u74f6\u9888\uff0c\u5355\u7eaf\u7684\u6ce8\u610f\u529b\u673a\u5236\u6709\u7f3a\u9677\uff0c\u5e76\u975e\u4e07\u80fd\uff0c\u4e0d\u662f\u673a\u5236\u672c\u8eab\u6709\u95ee\u9898\uff0c\u800c\u662f\u5b9e\u73b0\u65b9\u5f0f\u3002\u8fd9\u4fc3\u4f7f\u4eba\u4eec\u601d\u8003\u66f4\u6362\u89c6\u89d2\u3002<br><\/li><li>SSM \u6a21\u578b:\u4ece LTI\u8fde\u7eed\u7a7a\u95f4\u7ebf\u6027\u65f6\u4e0d\u53d8\u7cfb\u7edf\u8bb2\u8d77\uff0c\u7c7b\u4f3c RNN \u79bb\u6563\u5316\uff0cCNN \u5e76\u884c\u5316\uff0c\u4f46\u90fd\u6ca1\u79bb\u5f00\u7ebf\u6027+\u53c2\u6570\u77e9\u9635\u65f6\u4e0d\u53d8\u4e24\u4e2a\u5047\u8bbe\u3002<\/li><li>Mamba \u539f\u7406:\u63d0\u51fa\u4e86\u9009\u62e9\u673a\u5236\uff0c\u5176\u5b9e\u5c31\u662f\u65f6\u5e8f\u95e8\u63a7\u5355\u5143\u3002\u901a\u8fc7\u79bb\u6563\u5316\u51fd\u6570 delta \u8fd9\u4e2a\u975e\u7ebf\u6027\u603b\u5f00\u5173\u63a7\u5236 ABC\u77e9\u9635\u4e09\u4e2a\u5c0f\u65cb\u94ae\u5f00\u5173\uff0c\u76f8\u5f53\u4e8e\u653e\u5f00\u4e86\u65f6\u4e0d\u53d8\u7ea6\u675f\uff0c\u5b9e\u73b0\u65f6\u53d8\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u5728\u9009\u62e9\u6027 SSM \u8fd9\u4e2a\u6838\u5fc3\u6a21\u5757\u4e4b\u5916\uff0c\u8fd8\u901a\u8fc7\u589e\u52a0\u6fc0\u6d3b\u51fd\u6570\u8fdb\u4e00\u6b65\u63d0\u5347\u6a21\u578b\u8868\u5f81\u529b\uff0c\u5229\u7528\u5377\u79ef\u5c42\u589e\u5f3a\u7a7a\u95f4\u7279\u5f81\u6355\u6349\u529b\u3002\u53ef\u4ee5\u8ba4\u4e3aMamba=RNN(\u53d8\u5f62GRU)+CNN+\u9009\u62e9\u6027\u6ce8\u610f\u529b\u673a\u5236<\/li><li>\u601d\u60f3\u7cbe\u9ad3:\u6d41\u4f53\u529b\u5b66\u7cfb\u7edf+\u674e\u6307\u6570\u6620\u5c04+\u56fa\u5b9a\u77e9\u9635A\u6700\u4f18\u4e3b\u7ba1\u9053=\u72ec\u7279\u7684\u5904\u7406\u65b9\u6cd5<br>               transformer \u6a2a\u884c\u9738\u90537\u5e74\u4e86\uff0c\u4e03\u5e74\u4e4b\u75d2\u4e5f\u8be5\u5230\u4e86\u3002\u51ed\u4ec0\u4e48\u6ce8\u610f\u529b\u673a\u5236\u5c31\u662f\u738b\u8005\uff0c\u8bb0\u5fc6\u7684\u95ee\u9898\u8fd8\u7528\u65f6\u5e8f\u89e3\u51b3\u5c31\u4e0d\u884c\u5417?\u53ea\u4e0d\u8fc7\u5e73\u8861\u597d\u65f6\u7a7a\u5173\u7cfb\uff0c\u517c\u987e\u51c6\u786e\u4e0e\u6548\u7387\u5c31\u53ef\u4ee5\u4e86\u3002Mamba \u7684\u51fa\u73b0\u8ba9\u4eba\u4eec\u770b\u5230\u4e86\u4e00\u79cd\u65b0\u7684\u53ef\u80fd\uff0c\u4f20\u7edf\u6a21\u578b\u4f9d\u7136\u53ef\u4ee5\u91cd\u89c1\u5929\u65e5\u3002\u65e0\u6570\u6210\u719f\u6a21\u578b\uff0c\u4f9d\u7136\u53ef\u4ee5\u8001\u5f53\u76ca\u58ee\uff0c\u91cd\u4e0a\u6218\u573a\uff0c\u9762\u5bf9\u5927\u6a21\u578b\u7684\u65f6\u4ee3\u518d\u521b\u8f89\u714c\u3002\u4ece\u67d0\u79cd\u7a0b\u5ea6\u4e0a\u8bf4\u9009\u62e9\u6027\u673a\u5236\u53c8\u4f55\u5c1d\u4e0d\u662f\u4e00\u79cd\u6ce8\u610f\u529b\u673a\u5236\uff0c\u8fd9\u4e2a\u89c6\u89d2\u770b\u8d77\u6765\uff0cMamba \u5e76\u6ca1\u6709\u4e22\u6389\u5b83\uff0c\u800c\u662f\u6362\u4e86\u4e00\u79cd\u65b9\u5f0f\u7ed3\u5408\u4e86\u65f6\u5e8f\u6a21\u578b\u548c\u6ce8\u610f\u529b\u673a\u5236\u7684\u4f18\u52bf\uff0c\u4ee5\u53e6\u5916\u4e00\u79cd\u9762\u76ee\u793a\u4eba\u3002RNN \u5982\u6b64\uff0c\u66f4\u4f55\u51b5 LSTM \u5462!<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u8bba\u6587\u5730\u5740\uff1a Mamba: Linear-Time Sequence Modeling with Selecti &hellip; <a href=\"http:\/\/139.9.1.231\/index.php\/2024\/06\/27\/mamba\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">Mamba\u6a21\u578b\u89e3\u8bfb<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[21,4],"tags":[],"_links":{"self":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/15505"}],"collection":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/comments?post=15505"}],"version-history":[{"count":156,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/15505\/revisions"}],"predecessor-version":[{"id":15706,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/15505\/revisions\/15706"}],"wp:attachment":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/media?parent=15505"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/categories?post=15505"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/tags?post=15505"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}