{"id":4581,"date":"2025-10-17T10:38:20","date_gmt":"2025-10-17T02:38:20","guid":{"rendered":"http:\/\/www.sniper97.cn\/?p=4581"},"modified":"2025-10-17T10:47:21","modified_gmt":"2025-10-17T02:47:21","slug":"%e3%80%90%e8%ae%ba%e6%96%87%e3%80%91%e4%b8%80%e4%b8%aa%e7%8a%b6%e6%80%81%e8%bd%ac%e7%a7%bb%e7%9a%84%e9%ab%98%e6%95%88%e6%8e%a8%e7%90%86%e6%a1%86%e6%9e%b6","status":"publish","type":"post","link":"http:\/\/www.sniper97.cn\/index.php\/note\/deep-learning\/paper-deep-learning\/4581\/","title":{"rendered":"\u3010\u8bba\u6587\u3011\u4e00\u4e2a\u57fa\u4e8e\u72b6\u6001\u8f6c\u79fb\u7684\u9ad8\u6548\u63a8\u7406\u6846\u67b6"},"content":{"rendered":"\n<p>\u672c\u6587\u4e3b\u8981\u4ecb\u7ecd\u6211\u4eec\u7684iclr 2026\u6295\u7a3f\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"rZvml\">\u7814\u7a76\u52a8\u673a<\/h1>\n\n\n\n<p id=\"u3c2cbc4f\">\u4eca\u5e74\u6765\u968f\u7740OpenAI o1\u3001o3\u3001DeepSeek R1\u7b49\u6a21\u578b\u7684\u51fa\u73b0\uff0c\u63a8\u7406\u6a21\u578b\u901a\u8fc7\u9884\u5148\u751f\u6210\u4e00\u6bb5\u957f\u601d\u7ef4\u94fe\uff08CoT\uff09\u786e\u5b9e\u53ef\u4ee5\u663e\u8457\u63d0\u5347\u6a21\u578b\u7684\u63a8\u7406\u6027\u80fd\uff0c\u5728\u5404\u4e2a\u590d\u6742\u63a8\u7406\u4efb\u52a1\u4e0a\u90fd\u6709\u663e\u8457\u63d0\u5347\u3002<\/p>\n\n\n\n<p id=\"ub29f8e22\">\u4f46\u662f\u8fd9\u4e5f\u5e26\u6765\u4e86\u957f\u6587\u672c\u7684\u663e\u8457\u538b\u529b\u3002\u7531\u4e8e\u73b0\u6709\u6a21\u578b\u7684self-attention\u7684\u590d\u6742\u5ea6\u4e3a <img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/c3b175b16cc0d07bec0aef1e8aee1044.svg\">\uff0c\u662f\u4e8c\u6b21\u590d\u6742\u5ea6\uff0c\u968f\u7740\u6587\u672c\u957f\u5ea6\u7684\u589e\u52a0\uff0c\u8ba1\u7b97\u6210\u672c\u663e\u8457\u589e\u52a0\uff0c\u540c\u65f6kv 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id=\"u1f3c0125\">\u76ee\u524d\u5927\u5bb6\u5bf9\u63a8\u7406\u6548\u7387\u7684\u63d0\u5347\u6709\u4e24\u79cd\u65b9\u6848\uff1a<\/p>\n\n\n\n<ol>\n<li>\u663e\u793a\u7f29\u77ed\u63a8\u7406\u957f\u5ea6\uff1a\u901a\u8fc7prompt\u3001sft\u3001RL\u7b49\u65b9\u5f0f\uff0c\u8ba9\u6a21\u578b\u751f\u6210\u66f4\u77ed\u7684\u63a8\u7406\u5e8f\u5217\uff0c\u4ece\u800c\u63d0\u9ad8\u63a8\u7406\u6548\u7387\u3002\u7136\u800c\u8fd9\u5728\u4e00\u5b9a\u7a0b\u5ea6\u662f\u635f\u5931\u4e86reasoning\u7684\u521d\u8877\uff0c\u5bfc\u81f4\u6a21\u578b\u4e00\u5b9a\u7a0b\u5ea6\u4e0a<strong>\u6027\u80fd\u7684\u4e0b\u964d<\/strong>\u3002<\/li>\n\n\n\n<li>\u9690\u5f0f\u7f29\u77ed\u63a8\u7406\u957f\u5ea6\uff1a\u8fd9\u7c7b\u65b9\u6cd5\u901a\u8fc7\u4f7f\u7528\u4e00\u4e2a\u9690\u5411\u91cf\u6765\u8868\u8fbe\u591a\u4e2atoken\uff0c\u4ece\u800c\u5c06\u957freasoning\u538b\u7f29\u4e3a\u66f4\u77ed\u7684\u63a8\u7406\u5e8f\u5217\u3002\uff08\u4f8b\u5982\u65e9\u671f\u7684Qwen3\uff0c\u5728enable_thinking=False\u662f\u4f9d\u7136\u4f7f\u7528&lt;think&gt;&lt;\\think&gt;\u6765\u9690\u6389\u63a8\u7406\u5185\u5bb9\uff09\u3002\u7136\u800c\u8fd9\u79cd\u6a21\u5f0f\u4e0e\u9884\u8bad\u7ec3\u548c\u5fae\u8c03\u7684\u8bad\u7ec3\u8303\u5f0f\u5b58\u5728\u8f83\u5927gap\u3002\u8fd9\u79cdgap\u9700\u8981\u8f83\u591a\u7684<strong>\u8bad\u7ec3\u8d44\u6e90<\/strong>\uff0c\u540c\u65f6\u8fd8\u5bb9\u6613\u4ea7\u751f<strong>\u707e\u96be\u6027\u9057\u5fd8<\/strong>\u3002<\/li>\n<\/ol>\n\n\n\n<p id=\"ue7b56da0\">\u4e3a\u4e86\u89e3\u51b3\u4e0a\u8ff0\u95ee\u9898\uff0c\u6211\u4eec\u4e3b\u8981\u8d21\u732e\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol>\n<li>\u63d0\u51fa\u4e86\u4e00\u4e2a<strong>\u65b0\u7684\u9ad8\u6548\u63a8\u7406\u6846\u67b6<\/strong>\uff0c\u5728\u8fd9\u4e2a\u6846\u67b6\u4e2d\uff0c\u6211\u4eec\u5c06\u6a21\u578b\u7684\u63a8\u7406\u8fc7\u7a0b \u5efa\u6a21\u4e3a 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class=\"wp-block-heading\" id=\"cJ0cp\">\u6211\u4eec\u7684\u65b9\u6cd5preview<\/h1>\n\n\n\n<p id=\"u1d07405d\">\u6211\u4eec\u7684\u6574\u4f53\u601d\u8def\u662f\u5c06\u6a21\u578b\u7684token by token\u7684\u63a8\u7406\u8fc7\u7a0b\u5efa\u6a21\u6210\u72b6\u6001\u8f6c\u79fb\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<p id=\"u82424393\">\u73b0\u6709\u6a21\u578b\u7684token-base reasoning\u65f6\uff0c\u662f\u4ee5\u81ea\u56de\u5f52\u7684\u65b9\u5f0f\u6765\u751f\u6210\u957f\u5e8f\u5217\u4e2d\u7684\u6bcf\u4e00\u4e2atoken\uff0c\u6a21\u578b\u7684\u751f\u6210\u901f\u5ea6\u4f1a\u4ee5\u5e73\u65b9\u901f\u5ea6\u4e0b\u964d\u3002\u540c\u65f6\uff0c\u867d\u7136\u6709\u7740kv cache\u6280\u672f\uff0c\u4f46\u662f\u968f\u7740\u751f\u6210\u5e8f\u5217\u957f\u5ea6\u7684\u589e\u52a0\uff0ckv cache\u5185\u5b58\u538b\u529b\u4e5f\u4f1a\u663e\u8457\u589e\u52a0\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"553\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1024x553.png\" alt=\"\" class=\"wp-image-4582\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1024x553.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-300x162.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-768x414.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1536x829.png 1536w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image.png 1716w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<p id=\"uee0097ff\">\u6211\u4eec\u5c06token\u5e8f\u5217\u62bd\u8c61\u6210\u72b6\u6001\uff0c\u63a8\u7406\u5b9e\u9645\u4e0a\u5c31\u662f\u5728\u4e0d\u540c\u72b6\u6001\u4e4b\u95f4\u7684\u8f6c\u79fb\u3002<\/p>\n\n\n\n<p id=\"u3392f147\">\u5177\u4f53\u6765\u8bf4\uff0c\u6211\u4eec\u5c06\u63a8\u7406\u5e8f\u5217\u901a\u8fc7\u5173\u952e\u8bcd\u5206\u5272\u6210\u76f8\u5bf9\u72ec\u7acb\u7684think\u6bb5\uff0c\u6bcf\u4e00\u4e2athink\u6bb5\u5bf9\u5e94\u4e00\u4e2athinking type\u3002\u8fd9\u4e9btype\u662f\u62bd\u8c61\u7684\u901a\u8fc7\u805a\u7c7b\u800c\u6765\u3002<\/p>\n\n\n\n<p id=\"uc8ca1a39\">\u5f53\u6a21\u578b\u63a8\u7406\u5b8c\u6210\u4e00\u4e2athinking type\uff08\u4f8b\u5982think-1\uff09\u65f6\uff0c\u4f1a\u83b7\u5f97\u4e00\u4e2a\u65b0\u7684\u72b6\u6001<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/c194724734e5ae5b8fb3bb814057eecf.svg\">,\u968f\u540e\u6a21\u578b\u4f7f\u7528<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/c194724734e5ae5b8fb3bb814057eecf.svg\">\u548cuser input\uff08prompt\uff09\u5b8c\u6210\u4e0b\u4e00\u6bb5\u63a8\u7406\uff08think-2\uff09\uff0c\u800c\u4e0d\u9700\u8981\u8003\u8651\u5df2\u7ecf\u5b8c\u6210\u7684think-1\u4e2d\u7684\u5e8f\u5217\u3002<\/p>\n\n\n\n<p id=\"uefc07de0\">\u56e0\u6b64\uff0c\u6211\u4eec\u7684\u65b9\u6cd5\u5c31\u80fd\u591f\u5728\u6a21\u578b\u6bcf\u6b21\u751f\u6210think\u65f6\uff0c\u53ea\u5173\u6ce8\u56fa\u5b9a\u7684prompt\u5185\u5bb9\uff0c\u4ece\u800c\u5c06self-attention\u5e73\u65b9\u590d\u6742\u5ea6\u964d\u81f3\u7ebf\u6027\u590d\u6742\u5ea6\u3002<\/p>\n\n\n\n<p id=\"u817d364b\">\u4f46\u662f\u8fd9\u91cc\u4e00\u4e2a\u6bd4\u8f83\u91cd\u8981\u7684\u95ee\u9898\u662f\u5982\u4f55\u5f97\u5230\u6211\u4eec\u7684\u72b6\u6001<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/55fc237afbe535f7d8434985b848a6a7.svg\">\u662f\u53ef\u83b7\u5f97\u7684\u5e76\u4e14\u662f\u6b63\u786e\u7684\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"OGqmO\">Linear attention<\/h1>\n\n\n\n<p id=\"u8122b8d9\">\u7ebf\u6027attention\u5929\u7136\u5177\u5907\u538b\u7f29\u72b6\u6001\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<p id=\"ube5d7cec\">\u6211\u4eec\u9996\u5148\u56de\u987e\u4e00\u4e0b\u6807\u51c6\u7684self-attention\u516c\u5f0f<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\mathrm{Attention}(Q,K,V)=\\mathrm{softmax}\\left(\\frac{QK^{\\sf T}}{\\sqrt{d}}\\right)V<\/pre><\/div>\n\n\n\n<p id=\"u1037b8e8\">\u56e0\u4e3a\u6ce8\u610f\u529b\u7684\u672c\u8d28\u4e0a\u5c31\u662f\u52a0\u6743\u5e73\u5747\uff0c\u73b0\u5728\uff0c\u6211\u4eec\u4e0d\u518d\u4f7f\u7528softmax\u4f5c\u4e3a\u6fc0\u6d3b\u51fd\u6570\uff0c\u800c\u662f\u4f7f\u7528<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/7e71f4453f4ef33cd92e3dbb557f28d8.svg\">\u4ee3\u66ff\uff0c<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>V_i= \\frac{\\sum_{j=1}^N sim(Q_i,K_j)V_j}{sim(Q_i,K_j)}\n<\/pre><\/div>\n\n\n\n<p id=\"u60b7e546\">\u5176\u4e2d\uff0c\u5206\u6bcd\u662f\u603b\u548c\u7528\u6765\u5f52\u4e00\u5316\u3002\u5176\u4e2d<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/7e71f4453f4ef33cd92e3dbb557f28d8.svg\">\u53ef\u4ee5\u662f\u4efb\u4f55\u975e\u8d1f\u51fd\u6570:<\/p>\n\n\n\n<p id=\"u5c052be7\">\u5176\u5b9e\u8fd9\u91cc\u975e\u8d1f\u4e5f\u53ea\u662f\u5de5\u7a0b\u8981\u6c42\uff1a\u4f60\u603b\u4e0d\u80fd\u8981\u6c42\u4e00\u4e2atoken\u5bf9\u603b\u4f53\u7684\u8d21\u732e\u662f\u8d1f\u6570\u7684\uff0c\u8fd9\u5f88\u5bb9\u6613\u5bfc\u81f4\u5f52\u4e00\u5316\u51fa\u9519\u3002<\/p>\n\n\n\n<p id=\"uf8a1ab61\">\u57fa\u4e8e\u8fd9\u6837\u7684\u6761\u4ef6\u4e0b\uff0c\u6211\u4eec\u7ee7\u7eed\u7ed9\u5b9a\u4e00\u4e2a\u5185\u6838\u51fd\u6570<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/d2eda7422a84286bd20a497cb1d334a9.svg\">\uff0c\u90a3\u4e48\u6709\uff1a<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>V_i = \\frac{\\sum_{j=1}^N \\phi(Q_i)\\phi(K_j)^TV_j}{\\sum_{j=1}^N \\phi(Q_i)\\phi(K_j)^T}\n<\/pre><\/div>\n\n\n\n<p id=\"ud90d0dd5\">\u73b0\u5728\uff0c\u5c31\u662f\u4e00\u4e2a\u6807\u51c6\u7684\u77e9\u9635\u4e58\u6cd5\u4e86\uff0c\u6211\u4eec\u5229\u7528\u77e9\u9635\u7684\u4e58\u6cd5\u7ed3\u5408\u5f8b\u5f97\u5230\uff1a<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>V_i = \\frac{\\phi(Q_i)\\sum_{j=1}^N \\phi(K_j)^TV_j}{\\phi(Q_i)\\sum_{j=1}^N \\phi(K_j)^T}\n<\/pre><\/div>\n\n\n\n<p id=\"uc7d05da8\">\u8fdb\u4e00\u6b65\u7b80\u5316\uff0c\u5c06\u5206\u6bcd\u8fd9\u4e2a\u5f52\u4e00\u5316\u9879\u53bb\u6389\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\mathrm{Attention}(Q,K,V)= (\\phi(Q)\\phi(K)^T)V = \\phi(Q)(\\phi(K^T)V)<\/pre><\/div>\n\n\n\n<p id=\"u2a8a595f\">\u8fd9\u662f\uff0c\u590d\u6742\u5ea6\u5c31\u4ece<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/59c15bf7e886f135e06d45ae818c9566.svg\">\u964d\u4e3a\u4e86<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/0f0a6b23685edb0b454fdb135583a564.svg\">\u3002\u8fbe\u5230\u4e86\u7ebf\u6027\u590d\u6742\u5ea6\uff0c\u90a3\u5c31\u662f\u6700\u7ec8\u7684O\u77e9\u9635\uff1a<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>o_t = q_t St\n\\\\\nS_t  = \\sum_{i=1}^t k_i^Tv_i = S_{t-1} + k_t^Tv_t<\/pre><\/div>\n\n\n\n<p id=\"udba20dbf\">\u5230\u8fd9\u91cc\uff0c\u6211\u4eec\u5c31\u5df2\u7ecf\u89c2\u5bdf\u5230\u4e86Linear-attention\u4f7f\u7528\u4e86\u72b6\u6001\u8f6c\u79fb\u77e9\u9635S\u8bb0\u5f55\u4e86\u4e4b\u524d\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\uff0c\u4f7f\u5f97\u6bcf\u4e00\u5f53\u524d\u6b65t\uff0c\u4e0d\u518d\u4f9d\u8d56\u4e8e\u5bf9\u4e4b\u524dtoken\u8fdb\u884c\u5b8c\u6574\u7684attention\u8ba1\u7b97\uff0c\u5927\u5927\u964d\u4f4e\u4e86\u5b58\u50a8\u7684\u590d\u6742\u5ea6\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"502\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1-1024x502.png\" alt=\"\" class=\"wp-image-4583\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1-1024x502.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1-300x147.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1-768x376.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-1.png 1282w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<p>\u540c\u65f6\u6211\u4eec\u8fd8\u53d1\u73b0\uff0c\u5bf9\u4e8e\u4f20\u7edfattention\u7684\uff0c\u5176\u5b9e\u6240\u6709\u7684Q\u3001K\u3001V\u3001O\u77e9\u9635\u90fd\u662f\u5171\u7528\u7684\uff0c\u53ea\u4e0d\u8fc7\u4fee\u6539\u4e86\u6838\u51fd\u6570\uff0c\u4e24\u8005\u5177\u5907\u5929\u7136\u7684\u5951\u5408\u6027\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"hFkCr\">Minimax Lightning Attention<\/h1>\n\n\n\n<p id=\"ue05e822f\">\u65e2\u7136Linear attention\u548cself-attention\u5177\u5907\u5929\u7136\u7684\u5951\u5408\u6027\uff0c\u5e76\u4e14\u5177\u5907\u4e86\u7ebf\u6027\u590d\u6742\u5ea6\uff0c\u4e3a\u4ec0\u4e48\u4e3b\u6d41\u4f9d\u7136\u662fself-attention\u5462\uff1f<\/p>\n\n\n\n<p id=\"u53b54b7e\">\u4e3b\u8981\u539f\u56e0\u53ef\u80fd\u6709\u4e24\u70b9\uff1a<\/p>\n\n\n\n<ol>\n<li>Linear Attention\u7684\u6838\u51fd\u6570\u73b0\u5728\u73b0\u9636\u6bb5\u4e3b\u8981\u4f9d\u9760\u4f8b\u5982relu\u3001silu\u8fd9\u7c7b\u7b80\u5355\u7684\u975e\u8d1f\u6838\u51fd\u6570\u3002\u76f8\u6bd4softmax\uff0c\u4ed6\u4eec\u5904\u7406Attention<strong>\u6570\u503c\u7684\u80fd\u529b\u66f4\u5dee<\/strong>\uff0c\u4f8b\u5982softmax\u5f88\u5bb9\u6613\u51fa\u73b00.8\u8fd9\u7c7b\u9ad8Attention\u503c\uff0c\u4f46\u662frelu\u3001silu\u8fd9\u7c7b\u6838\u51fd\u6570\u5f88\u96be\u51fa\u73b0\u6781\u9ad8Attention\u503c\u3002\u5bf9\u6574\u4e2aAttention\u7684\u6027\u80fd\u6709\u4e00\u5b9a\u635f\u5931\u3002<\/li>\n\n\n\n<li>\u7531\u4e8e\u5355\u9879\u6ce8\u610f\u529b\u7cfb\u7edf\u7684<strong>\u7d2f\u52a0\u6c42\u548c\u64cd\u4f5c\u95ee\u9898<\/strong>\u3002\u5982\u4e0b\u516c\u5f0f\uff0c\u5728\u4e0a\u9762\u63d0\u5230\u8fc7\uff0c\u5728\u5355\u5411\u6ce8\u610f\u529b\u65f6\uff0c\u5b9e\u9645\u4e0a\u7531\u4e8e\u6bcf\u4e2a<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/588455b04479646f6b7a4a2886b01dba.svg\">\u4f7f\u7528\u7684\u7d2f\u52a0\u9879\u662f\u4e0d\u4e00\u6837\u7684\uff0c\u56e0\u6b64\u6ca1\u6709\u529e\u6cd5\u76f4\u63a5\u5206\u79bb\u3002<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>V_i = \\frac{\\phi(Q_i)\\sum_{j=1}^N \\phi(K_j)^TV_j}{\\phi(Q_i)\\sum_{j=1}^N \\phi(K_j)^T}\n\\Longrightarrow V_i = \\frac{\\phi(Q_i)\\sum_{j=1}^i \\phi(K_j)^TV_j}{\\phi(Q_i)\\sum_{j=1}^i \\phi(K_j)^T}<\/pre><\/div>\n\n\n\n<p id=\"uf3746fad\">\u8fd9\u5c31\u5fc5\u987b\u4f7f\u7528for\u5faa\u73af\u9010\u4e2a\u8ba1\u7b97\uff0c\u6ca1\u529e\u6cd5\u4f7f\u7528\u9ad8\u6027\u80fd\u7684\u77e9\u9635\u8ba1\u7b97\uff0c\u4e25\u91cd\u5f71\u54cd\u4e86\u8ba1\u7b97\u6548\u7387\u3002\u53ef\u4ee5\u8bf4\u662f\u4f4e\u65f6\u95f4\u590d\u6742\u5ea6\u4f46\u662f\u9ad8\u65f6\u95f4\u3002<\/p>\n\n\n\n<p id=\"u1c62657b\">\u5bf9\u4e8e\u7b2c\u4e8c\u4e2a\u539f\u56e0\uff0cminimax lightning attention-2\u7ed9\u51fa\u4e86\u4e00\u4e2a\u7a0d\u5fae\u597d\u4e00\u70b9\u7684\u4f18\u5316\u65b9\u5411\u3002\u501f\u9274\u4e86flash-attention\u548ckv cache\uff0c\u4f7f\u7528\u4e86block\u7684\u6982\u5ff5\uff0c\u5bf9\u6bcf\u4e00\u4e2ablock\u5185\u8fdb\u884cfor\u8fd0\u7b97\uff0c\u540c\u65f6\u7f13\u5b58\u7ed3\u679c\u7528\u4e8e\u540e\u7eed\u7684\u8ba1\u7b97\u3002<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\begin{align}\n&amp; o_1 = q_1(k_1^{\\mathsf{T}}v_1) \\\\[10pt]\n&amp; o_2 = q_2(k_1^{\\mathsf{T}}v_1+k_2^{\\mathsf{T}}v_2) \\\\[10pt]\n&amp; o_3 = q_3(k_1^{\\mathsf{T}}v_1+k_2^{\\mathsf{T}}v_2+k_3^{\\mathsf{T}}v_3) \\\\[10pt]\n&amp; o_4 = q_4(k_1^{\\mathsf{T}}v_1+k_2^{\\mathsf{T}}v_2+k_3^{\\mathsf{T}}v_3+k_4^{\\mathsf{T}}v_5)\n\\end{align}<\/pre><\/div>\n\n\n\n<p id=\"u63c4c952\">\u901a\u8fc7\u5c06\u8ba1\u7b97\u5207\u5206\u6210\u5757\u5185(intra block)\u548c\u5757\u95f4(inter block)\uff0c\u6765\u7f13\u89e3\u8fd9\u4e00\u95ee\u9898\u3002\u6211\u4eec\u540e\u7eed\u4f7f\u7528\u7684\u5c31\u662f\u8fd9\u4e2aMinimax Lightning Attention\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"wx38A\">\u6211\u4eec\u7684\u65b9\u6cd5<\/h1>\n\n\n\n<p id=\"ud1dd83ce\">\u6211\u4eec\u8bbe\u7f6e\u4e86\u4e00\u4e2amixed attention\u5c42\uff0c\u8fd9\u4e2a\u5c42\u5b9e\u9645\u4e0a\u5305\u542b\u4e86\u4e24\u79cdattention\u7ed3\u6784\u3002<\/p>\n\n\n\n<p id=\"uf83e4c0a\">\u6211\u4eec\u540c\u65f6\u8ba1\u7b97Linear-attention\u548cself-attention\uff0c\u5176\u4e2dself-attention\u53ea\u80fd\u5173\u6ce8\u5230\u5f53\u524d\u5757\uff08thinking_type)\u5185\u7684token\u4fe1\u606f\u4ee5\u53ca\u8f93\u5165\u7684prompt\u3002\u800c\u5168\u5c40\u4fe1\u606f\u5168\u90e8\u4eceLinear-attention\u4e2d\u83b7\u5f97\u3002\u540c\u65f6\u4f7f\u7528\u95e8\u63a7\u5355\u5143\u6765\u63a7\u5236\u4e8c\u8005\u7684\u6bd4\u4f8b\uff0c\u52a0\u6743\u6c42\u548c\u540e\u4f5c\u4e3a\u6700\u7ec8\u7684\u8f93\u51fa\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"538\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-2-1024x538.png\" alt=\"\" class=\"wp-image-4584\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-2-1024x538.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-2-300x158.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-2-768x404.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-2.png 1510w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<p id=\"u4905d18e\">\u6211\u4eec\u5e0c\u671b\u7684\u662f\uff1a\u5bf9\u4e8e\u5f53\u524dthinking_type\u7684\u63a8\u7406\uff0c\u4e00\u5f00\u59cb\u4e3b\u8981\u4f7f\u7528Linear-attention\u7684\u8f93\u51fa\uff0c\u56e0\u4e3a\u5b83\u4ee3\u8868\u7740\u5bf9\u8fc7\u5f80\u63a8\u7406\u72b6\u6001\u7684\u603b\u7ed3\uff0c\u800c\u968f\u7740\u5757\u5185\u63a8\u7406\u7684\u8fdb\u884c\uff0c\u8d8a\u6765\u8d8a\u503e\u5411\u4f7f\u7528self-attention\uff0c\u56e0\u4e3a\u5b83\u4ee3\u8868\u7740\u5bf9\u5f53\u524d\u5757\u5185\u63a8\u7406\u7684\u805a\u7126\u3002<\/p>\n\n\n\n<p id=\"u2b9ce38d\">\u6bcf\u4e00\u4e2a\u65b0\u7684token\u751f\u6210\u540e\uff0c\u90fd\u4f1a\u91cd\u65b0\u66f4\u65b0Linear-Attention\u7684\u72b6\u6001\uff0c\u4ee5\u7ef4\u62a4\u6700\u65b0\u7684\u5168\u5c40\u72b6\u6001\u3002<\/p>\n\n\n\n<p id=\"ub4b3f410\">\u6211\u4eec\u4e00\u5171\u4e3a\u6211\u4eec\u7684\u6a21\u578b\u8bbe\u8ba1\u4e86\u4e09\u79cdloss\u548c\u4e24\u4e2a\u8bad\u7ec3\u9636\u6bb5\u3002<\/p>\n\n\n\n<p id=\"ubb498f87\">\u5176\u4e2d\u6240\u6709\u9636\u6bb5\u90fd\u4e0d\u4f1a\u5bf9\u539f\u6a21\u578b\u8fdb\u884c\u4efb\u4f55\u8bad\u7ec3\u3002\u4ec5\u5bf9\u6211\u4eec\u6dfb\u52a0\u7684\u53c2\u6570\u8fdb\u884c\u8bad\u7ec3\u3002\u4e5f\u5c31\u662f\u6211\u4eec\u7684\u6a21\u578b\u662f\u4e00\u4e2a\u4e0d\u7834\u574f\u539f\u6a21\u578b\u7684<strong>\u70ed\u63d2\u62d4\u4ef6<\/strong>\u3002<\/p>\n\n\n\n<p id=\"u5676cb96\">\u7b2c\u4e00\u9636\u6bb5\u7684\u4e3b\u8981\u76ee\u7684\u662f\u5bf9mixed attention\u5c42\u7684\u9884\u8bad\u7ec3\uff0c\u6211\u4eec\u6dfb\u52a0\u4e86\u4e00\u4e2aLinear-attention\u6a21\u5757\uff0c\u540c\u65f6\u6dfb\u52a0\u4e86\u8bcd\u8868\uff08thinking_tpye\uff09\uff0c\u603b\u8ba1\u5927\u698260M\u7684\u53c2\u6570\u3002\u540c\u65f6\u4fee\u6539\u4e86mixed attention\u5c42\u7684mask\u77e9\u9635\uff0c\u4f7fthinking_type\u5185\u53ea\u80fdattention\u5230\u5757\u5185\uff0c\u4f7f\u7528\u4e00\u4e2aKL loss\u6765\u6062\u590d\u6574\u4e2aattention\u8f93\u51fa\u7684\u6b63\u786e\u6027\u3002<\/p>\n\n\n\n<p id=\"ubbd143fe\">\u8fd9\u4e00\u9636\u6bb5\u7684\u76ee\u7684\u4e3b\u8981\u662f\u7531\u4e8e\u6709\u51b7\u542f\u7684\u53c2\u6570\uff0c\u505a\u4e00\u70b9\u9884\u8bad\u7ec3\u4f7f\u5176\u6027\u80fd\u80fd\u591f\u521d\u6b65\u5bf9\u9f50\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"523\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-3-1024x523.png\" alt=\"\" class=\"wp-image-4585\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-3-1024x523.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-3-300x153.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-3-768x392.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-3-1536x785.png 1536w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-3.png 1801w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<p id=\"ub891d1a9\">\u7b2c\u4e8c\u9636\u6bb5\u6211\u4eec\u5c31\u8fdb\u884c\u4e86\u66f4\u7ec6\u81f4\u7684\u5fae\u8c03\u3002\u6211\u4eec\u4f7f\u7528\u4e862\u4e2aloss\u3002<strong>CE loss<\/strong>\u548c<strong>KL loss<\/strong>\u3002\u5176\u4e2dCE loss\u5c31\u662f\u6b63\u5e38\u7684sft loss\u3002\u4f46\u662f\u6211\u4eec\u53d1\u73b0\u8bad\u7ec3\u6548\u679c\u4e0d\u4f73\uff0c\u968f\u540e\u6211\u4eec\u4e3a\u5176\u6dfb\u52a0\u4e86KL loss\u3002\u52a8\u673a\u4e3b\u8981\u662f\u8003\u8651\u5230reasoning\u6a21\u578b\u672c\u8eab\u5c31\u662f\u9ad8\u71b5\u6a21\u578b\uff0c\u9700\u8981\u4fdd\u7559\u8f83\u591a\u7684\u591a\u6837\u6027\u4ee5\u652f\u6301\u63a2\u7d22\uff0c\u56e0\u6b64\u76f4\u63a5\u4f7f\u7528CE loss\u53ef\u80fd\u4f1a\u7834\u574f\u6a21\u578b\u7684\u63a2\u7d22\u6027\uff0c\u4f7f\u5176\u63a2\u7d22\u5230\u8bad\u7ec3\u6570\u636e\u4e0a\u3002<\/p>\n\n\n\n<p id=\"uc373bcac\">\u56e0\u6b64\uff0c\u6211\u4eec\u6dfb\u52a0\u4e86KL loss\uff0c\u5b83\u901a\u8fc7\u5c06\u6b63\u786e\u6807\u7b7e\u53bb\u6389\uff08\u524a\u5cf0\uff09\uff0c\u6839\u636e\u5176\u4f59\u4f4d\u7f6elogits\u7684\u71b5\u6765\u52a8\u6001\u8c03\u6574\u76ee\u6807\u3002\u4f8b\u5982\u5bf9\u4e8e\u5c16\u9510\u7684\u5206\u5e03\u5c31\u52a0\u5927\u6e29\u5ea6\uff0c\u592a\u5747\u5300\u7684\u5206\u5e03\u5c31\u51cf\u5c0f\u6e29\u5ea6\uff0c\u6765\u5b66\u4e60\u5168token\u7684\u5206\u5e03\u3002<\/p>\n\n\n\n<p id=\"u102fef31\">\u9700\u8981\u6ce8\u610f\uff0c\u6211\u4eec\u7684\u6240\u6709\u53c2\u6570\uff08\u5305\u62ecself-attention\uff09\u90fd\u662f\u7531teacher \u6a21\u578b\u5171\u4eab\u800c\u6765\uff0c\u5e76\u4e14\u5728\u8bad\u7ec3\u4e2dfreeze\uff0c\u6240\u6709\u9636\u6bb5\u7684\u8bad\u7ec3\u53c2\u6570\u5c31\u53ea\u6709Linear attention\u7684\u76f8\u5173\u53c2\u6570\u4ee5\u53ca\u6211\u4eec\u4e3athinking type\u6dfb\u52a0\u7684embedding\u548clm_head\u76f8\u5173\u53c2\u6570\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"bsmQ0\">\u63a8\u7406<\/h1>\n\n\n\n<p id=\"ufb6d6650\">\u601d\u8003\u4e0a\u9762Linear attention\u7684\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u5f88\u5bb9\u6613\u7684\u53d1\u73b0\uff0c\u5176\u4e2dS\u7684\u8ba1\u7b97\u548c\u4f7f\u7528\u903b\u8f91\uff0c\u7279\u522b\u50cf\u68af\u5ea6\u4e0b\u964d\u7684\u8fc7\u7a0b\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"502\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-4-1024x502.png\" alt=\"\" class=\"wp-image-4586\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-4-1024x502.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-4-300x147.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-4-768x376.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-4.png 1282w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<p>\u5f53\u6211\u4eec\u5f53\u524d\u72b6\u6001\u8ba1\u7b97\u4e86\u4e00\u4e2a\u65b9\u5411<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/2f78b28373820ed6ae1ed827af3b5716.svg\">\u65f6\uff0c\u5b9e\u9645\u66f4\u65b0\u65b9\u5411\u53ef\u80fd\u6536\u4e4b\u524d\u72b6\u6001\u7684\u5f71\u54cd\u6bd4\u8f83\u5927\uff0c\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e00\u7279\u6027\u6cbf\u7528\u5230\u63a8\u7406\u8fc7\u7a0b\u4e2d\u6765\uff0c\u7c7b\u4f3c\u4e8e\u6dfb\u52a0\u4e00\u4e2a\u4f18\u5316\u5668\uff0c\u8ba9\u6bcf\u4e00\u6b65\u7684\u63a8\u7406\u90fd\u53d7\u5230\u5386\u53f2\u72b6\u6001\u7684\u5f71\u54cd\uff0c\u9632\u6b62\u56e0\u4e3a\u67d0\u4e00\u6b65\u7684\u63a8\u7406\u9519\u8bef\u5bfc\u81f4\u7684\u5168\u5c40\u65b9\u5411\u51fa\u73b0\u504f\u5dee\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"924\" height=\"580\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-5.png\" alt=\"\" class=\"wp-image-4587\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-5.png 924w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-5-300x188.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-5-768x482.png 768w\" sizes=\"(max-width: 924px) 100vw, 924px\" \/><\/figure><\/div>\n\n\n<p id=\"u643c49e9\">\u5177\u4f53\u6765\u8bf4\uff0c<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/aa84ca837b13879f3d59735d50174858.svg\">\u8868\u793a\u7b2ct\u6bb5\u63a8\u7406think\u5e26\u6765\u7684\u68af\u5ea6\u4e0b\u964d\u603b\u91cf(\u5373<strong>\u63a8\u7406\u65b9\u5411<\/strong>)\uff0c\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3athink-t\u5e26\u6765\u7684\u63a8\u7406\u4fe1\u606f\u589e\u76ca\u3002\u800c\u5168\u5c40\u63a8\u7406\u65b9\u5411<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/d041c1fffcd2f7aa80aaf9debf4b14e7.svg\">\uff1a\u7528\u4e8e\u8bb0\u5f55\u5230\u5f53\u524d\u63a8\u7406\u6b65t\u4e3a\u6b62\uff0c\u6a21\u578b\u6574\u4f53\u7684<strong>\u63a8\u7406\u65b9\u5411<\/strong>\u3002<\/p>\n\n\n\n<p id=\"uc9e94b43\">\u90a3\u4e48\u5f53\u9047\u5230\u566a\u97f3\u63a8\u7406(think-3)\u65f6\uff0c\u5f53\u524d\u6b65\u9aa4\u7684\u63a8\u7406\u65b9\u5411(<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/6198791227f79293eab1d11d69bf5596.svg\">)\u4f1a\u4e25\u91cd\u504f\u79bb\u5168\u5c40\u7684\u63a8\u7406\u65b9\u5411(<img decoding=\"async\" src=\"https:\/\/intranetproxy.alipay.com\/skylark\/lark\/__latex\/8439e2e4fc02a3dfe625f364a686f605.svg\">)\uff0c\u56e0\u6b64\u6211\u4f7f\u7528\u5168\u5c40\u63a8\u7406\u65b9\u5411\u6765\u8fdb\u4e00\u6b65\u4fee\u6b63\u5c40\u90e8\u63a8\u7406\u65b9\u5411\uff0c\u4ece\u800c\u63d0\u9ad8\u6a21\u578b\u5bf9\u63a8\u7406\u566a\u58f0\u7684\u9c81\u68d2\u6027\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"682\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-6-1024x682.png\" alt=\"\" class=\"wp-image-4588\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-6-1024x682.png 1024w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-6-300x200.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-6-768x512.png 768w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-6-360x240.png 360w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-6.png 1150w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h1 class=\"wp-block-heading\" id=\"vF77z\">\u6548\u679c<\/h1>\n\n\n\n<p id=\"u372738f9\">\u6211\u4eec\u7684\u6a21\u578b\u5728\u6548\u679c\u4e0a\u76f8\u6bd4baseline\u6709\u4e86\u663e\u8457\u63d0\u5347\u3002\u7531\u4e8e\u65f6\u95f4\u9650\u5236\u76ee\u524d\u53ea\u6d4b\u4e861.5B\uff0c\u540e\u7eed\u4f1a\u6d4b\u8bd57B\u548c14B\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><\/td><td>MATH<\/td><td>AIME24<\/td><td>AIME25<\/td><td>AMC23<\/td><td>gsm8k<\/td><td>GPQA_D<\/td><td>AVG<\/td><\/tr><tr><td>DSQ2.5-1.5B<\/td><td>78.87<\/td><td>20.00<\/td><td>16.67<\/td><td>62.50<\/td><td><\/td><td>20.70<\/td><td>39.75<\/td><\/tr><tr><td>Ours<\/td><td><strong>81.21<\/strong><\/td><td><strong>26.67<\/strong><\/td><td><strong>23.33<\/strong><\/td><td><strong>67.50<\/strong><\/td><td><strong><\/strong><\/td><td><strong>24.24<\/strong><\/td><td><strong>44.59<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p id=\"u96a00b8c\">\u5728\u53d6\u5f97\u6027\u80fd\u63d0\u5347\u7684\u540c\u65f6\uff0c\u6211\u4eec\u7684\u6a21\u578b\u5728\u63a8\u7406\u901f\u5ea6\u4e0a\u4e5f\u83b7\u5f97\u4e86\u5f88\u5927\u7684\u63d0\u5347\u3002\u572832K\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u7684token\u751f\u6210\u6548\u7387\u5728baseline\u4f7f\u7528\u4e86flash-attention\u52a0\u901f\u7684\u60c5\u51b5\u4e0b\u4f9d\u7136\u63d0\u5347\u4e8640%\u3002\u540c\u65f6\u5f97\u76ca\u4e8e\u66f4\u4f4e\u7684kv cache\u4f7f\u7528\uff0c\u6211\u4eec\u7684\u663e\u5b58\u7684\u5229\u7528\u4e5f\u5f97\u5230\u4e86\u5f88\u5927\u7684\u964d\u4f4e<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"910\" height=\"770\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-7.png\" alt=\"\" class=\"wp-image-4589\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-7.png 910w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-7-300x254.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2025\/10\/image-7-768x650.png 768w\" sizes=\"(max-width: 910px) 100vw, 910px\" \/><\/figure><\/div>\n\n\n<h1 class=\"wp-block-heading\" id=\"seR8d\">\u4e0d\u8db3\u4e0e\u672a\u6765\u5de5\u4f5c<\/h1>\n\n\n\n<p id=\"ue72ddc8e\">\u4e0d\u8db3\uff1a<\/p>\n\n\n\n<ol>\n<li>\u5bf9\u73b0\u6709\u63a8\u7406\u6846\u67b6\u7684\u9002\u914d\u4e0d\u8db3\uff0c\u540e\u7eed\u5728\u7ebf\u5b66\u4e60\u53ef\u80fd\u5bf9\u91c7\u6837\u6548\u7387\u6709\u4e00\u5b9a\u5f71\u54cd\u3002<\/li>\n\n\n\n<li>\u76ee\u524d\u5207\u5206thinking_type\u91c7\u7528\u7684\u662f\u57fa\u4e8e\u89c4\u5219\u7684\u5173\u952e\u8bcd\u88c1\u526a\uff0c\u540e\u7eed\u53ef\u80fd\u4f1a\u6709\u66f4\u4f18\u79c0\u7684\u65b9\u6848\u3002<\/li>\n<\/ol>\n\n\n\n<p id=\"u8e76c49e\">\u672a\u6765\u5de5\u4f5c\uff1a<\/p>\n\n\n\n<ol>\n<li>\u6211\u4eec\u7684\u63a8\u7406\u65b9\u6848\u8bc1\u660e\u4e86\u7ebf\u6027attention\u72b6\u6001\u8f6c\u79fb\u7684\u6709\u6548\u6027\u3002\u540e\u7eed\u53ef\u4ee5\u7528\u4f8b\u5982\u4fe1\u606f\u589e\u76ca\u8fd9\u7c7b\u65b9\u5f0f\u6765\u6784\u9020PRM\u6570\u636e\u3002<\/li>\n\n\n\n<li>\u8df3\u6b65\u63a8\u7406\u3002\u4e4b\u524d\u6211\u4eec\u9884\u8ba1\u505a\u53ef\u4ee5\u4f7f\u7528linear attention\u76f4\u63a5\u8df3\u8fc7thinking_type\u7684\u5185\u90e8\u63a8\u7406\uff0c\u76f4\u63a5\u63a8\u51fa\u65b0\u72b6\u6001\u3002\u4f46\u662f\u7531\u4e8e\u6ca1\u6709\u826f\u597d\u7684\u76d1\u7763\u4fe1\u53f7\u544a\u8bc9\u6a21\u578b\u54ea\u4e9b\u6b65\u9aa4\u9700\u8981\u88ab\u8df3\u8fc7\uff0c\u56e0\u6b64\u6682\u65f6\u6ca1\u6709\u529e\u6cd5\u5b9e\u73b0\u90e8\u5206type\u76f4\u63a5\u4f7f\u7528Linear 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