{"id":36047,"date":"2025-01-04T22:00:26","date_gmt":"2025-01-04T14:00:26","guid":{"rendered":"https:\/\/17aitech.com\/?p=36047"},"modified":"2025-01-04T22:00:26","modified_gmt":"2025-01-04T14:00:26","slug":"%e7%bb%99%e5%b0%8f%e5%ad%a6%e6%95%b0%e5%ad%a6%e9%a2%98%e5%8a%a0%e5%8f%a5%e3%80%8c%e5%ba%9f%e8%af%9d%e3%80%8d%ef%bc%8copenai-o1%e5%b0%b1%e7%bf%bb%e8%bd%a6%e4%ba%86%ef%bc%8c%e8%8b%b9%e6%9e%9c%e6%96%b0","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=36047","title":{"rendered":"\u7ed9\u5c0f\u5b66\u6570\u5b66\u9898\u52a0\u53e5\u300c\u5e9f\u8bdd\u300d\uff0cOpenAI o1\u5c31\u7ffb\u8f66\u4e86\uff0c\u82f9\u679c\u65b0\u8bba\u6587\u8d28\u7591AI\u63a8\u7406\u80fd\u529b"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-10-12-5\" target=\"_blank\">\u7ed9\u5c0f\u5b66\u6570\u5b66\u9898\u52a0\u53e5\u300c\u5e9f\u8bdd\u300d\uff0cOpenAI o1\u5c31\u7ffb\u8f66\u4e86\uff0c\u82f9\u679c\u65b0\u8bba\u6587\u8d28\u7591AI\u63a8\u7406\u80fd\u529b<\/a><\/p>\n<section>\n<section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"18\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<p>\u82f9\u679c\u65b0\u8bba\u6587\uff1aAI \u5927\u6a21\u578b\u53ef\u80fd\u4e0d\u4f1a\u63a8\u7406\u3002<\/p>\n<\/section>\n<\/blockquote>\n<\/section>\n<\/section>\n<p>AI \u5927\u6a21\u578b\uff08LLM\uff09\u771f\u7684\u50cf\u6211\u4eec\u7406\u89e3\u7684\u90a3\u6837\u80fd\u300c\u601d\u8003\u300d\u6216\u300c\u63a8\u7406\u300d\u5417\uff1f\u6700\u8fd1\uff0c\u82f9\u679c\u7684\u4e00\u7bc7\u8bba\u6587\u63a2\u8ba8\u4e86\u8fd9\u4e2a\u95ee\u9898\uff0c\u5e76\u4e14\u7ed9\u51fa\u4e86\u4e00\u4e2a\u503e\u5411\u4e8e\u300c\u5426\u300d\u7684\u7b54\u6848\u3002\u76f8\u5173\u5e16\u5b50\u88ab\u5f88\u591a\u4eba\u56f4\u89c2\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d9eb5451fef2fb534568ae1ab7506750.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d9eb5451fef2fb534568ae1ab7506750.png\"><\/a><\/p>\n<p>\u8fd9\u7bc7\u9898\u4e3a\u300cGSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models\u300d\u7684\u8bba\u6587\uff0c\u4e00\u4f5c\u662f\u82f9\u679c\u673a\u5668\u5b66\u4e60\u7814\u7a76\u5de5\u7a0b\u5e08 Iman Mirzadeh\uff0c\u56fe\u7075\u5956\u5f97\u4e3b Yoshua Bengio \u7684\u5f1f\u5f1f Samy Bengio \u4e5f\u662f\u4f5c\u8005\u4e4b\u4e00\u3002<\/p>\n<p>\u4ed6\u4eec\u662f\u600e\u4e48\u5f97\u51fa\u4e0a\u8ff0\u7ed3\u8bba\u7684\u5462\uff1f\u6211\u4eec\u5148\u6765\u770b\u4e00\u4e2a\u4f8b\u5b50\u3002<\/p>\n<p>\u5047\u8bbe\u6709\u4e00\u4e2a\u6570\u5b66\u95ee\u9898\uff1a\u5965\u5229\u5f17\u5728\u661f\u671f\u4e94\u6458\u4e86 44 \u4e2a\u7315\u7334\u6843\u3002\u7136\u540e\u5728\u661f\u671f\u516d\u6458\u4e86 58 \u4e2a\u7315\u7334\u6843\u3002\u661f\u671f\u5929\uff0c\u4ed6\u6458\u7684\u7315\u7334\u6843\u6570\u91cf\u662f\u661f\u671f\u4e94\u7684\u4e24\u500d\u3002\u5965\u5229\u5f17\u6709\u591a\u5c11\u4e2a\u7315\u7334\u6843\uff1f<\/p>\n<p>\u663e\u7136\uff0c\u7b54\u6848\u662f 44 + 58 + (44 * 2) = 190\u3002\u5c3d\u7ba1\u5927\u578b\u8bed\u8a00\u6a21\u578b\u5728\u7b97\u672f\u4e0a\u8868\u73b0\u4e0d\u7a33\u5b9a\uff0c\u4f46\u5b83\u4eec\u901a\u5e38\u80fd\u591f\u53ef\u9760\u5730\u89e3\u51b3\u7c7b\u4f3c\u95ee\u9898\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e0af68ded22ef7d929febe8e88b0ff83.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e0af68ded22ef7d929febe8e88b0ff83.png\"><\/a><\/p>\n<p>\u4f46\u5982\u679c\u6211\u4eec\u52a0\u5165\u4e00\u4e9b\u968f\u673a\u7684\u989d\u5916\u4fe1\u606f\uff0c\u6bd4\u5982\uff1a\u5965\u5229\u5f17\u5728\u661f\u671f\u4e94\u6458\u4e86 44 \u4e2a\u7315\u7334\u6843\u3002\u7136\u540e\u5728\u661f\u671f\u516d\u6458\u4e86 58 \u4e2a\u7315\u7334\u6843\u3002\u661f\u671f\u5929\uff0c\u4ed6\u6458\u7684\u7315\u7334\u6843\u6570\u91cf\u662f\u661f\u671f\u4e94\u7684\u4e24\u500d\uff0c\u4f46\u5176\u4e2d 5 \u4e2a\u6bd4\u5e73\u5747\u5927\u5c0f\u8981\u5c0f\u3002\u5965\u5229\u5f17\u6709\u591a\u5c11\u4e2a\u7315\u7334\u6843\uff1f<\/p>\n<p>\u9898\u76ee\u91cc\u52a0\u7684\u8fd9\u53e5\u8bdd\uff08\u5176\u4e2d 5 \u4e2a\u6bd4\u5e73\u5747\u5927\u5c0f\u8981\u5c0f\uff09\u663e\u7136\u4e0d\u5f71\u54cd\u89e3\u9898\uff0c\u4f46\u7ed3\u679c\u5374\u4ee4\u4eba\u5927\u5403\u4e00\u60ca\uff0c\u5927\u6a21\u578b\u5c45\u7136\u88ab\u8bef\u5bfc\u4e86\u3002<\/p>\n<p>GPT-o1-mini \u7ed9\u51fa\u7684\u7b54\u6848\u662f\uff1a\u2026\u2026 \u5728\u661f\u671f\u5929\uff0c\u8fd9 5 \u4e2a\u7315\u7334\u6843\u6bd4\u5e73\u5747\u5927\u5c0f\u8981\u5c0f\u3002\u6211\u4eec\u9700\u8981\u4ece\u661f\u671f\u5929\u7684\u603b\u6570\u4e2d\u51cf\u53bb\u5b83\u4eec\uff1a88\uff08\u661f\u671f\u5929\u7684\u7315\u7334\u6843\uff09- 5\uff08\u5c0f\u7315\u7334\u6843\uff09= 83 \u4e2a\u7315\u7334\u6843\u3002<\/p>\n<p>\u8fd9\u53ea\u662f\u6570\u767e\u4e2a\u95ee\u9898\u4e2d\u7684\u4e00\u4e2a\u7b80\u5355\u4f8b\u5b50\u3002\u7814\u7a76\u4eba\u5458\u5bf9\u8fd9\u4e9b\u95ee\u9898\u8fdb\u884c\u4e86\u8f7b\u5fae\u4fee\u6539\u3002\u7136\u800c\uff0c\u51e0\u4e4e\u6240\u6709\u8fd9\u4e9b\u95ee\u9898\u90fd\u4f7f\u5f97\u5c1d\u8bd5\u8fd9\u4e9b\u95ee\u9898\u7684\u6a21\u578b\u6210\u529f\u7387\u5927\u5e45\u4e0b\u964d\uff0c\u8fde OpenAI \u6700\u65b0\u6700\u5f3a\u7684 o1-preview \u6a21\u578b\u4e5f\u65e0\u6cd5\u5e78\u514d\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-457d28a85a6ae21478485ba313a5ad3c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-457d28a85a6ae21478485ba313a5ad3c.png\"><\/a><\/p>\n<p><em><sup>\u9898\u76ee\u4e3a\uff1a\u5229\u4e9a\u59c6\u60f3\u4e70\u4e9b\u5b66\u4e60\u7528\u54c1\u3002\u4ed6\u4e70\u4e86 24 \u5757\u6a61\u76ae\u64e6\uff0c\u73b0\u5728\u6bcf\u4e2a\u552e\u4ef7 6.75 \u7f8e\u5143\uff0c10 \u672c\u7b14\u8bb0\u672c\uff0c\u73b0\u5728\u6bcf\u4e2a\u552e\u4ef7 11.0 \u7f8e\u5143\uff0c\u4ee5\u53ca\u4e00\u5305\u73b0\u5728 19 \u7f8e\u5143\u7684\u590d\u5370\u7eb8\uff0c\u73b0\u5728\u552e\u4ef7 19 \u7f8e\u5143\u3002\u5229\u4e9a\u59c6\u73b0\u5728\u8be5\u4ed8\u591a\u5c11\u94b1\uff1f\u5047\u8bbe\u7531\u4e8e\u901a\u8d27\u81a8\u80c0\uff0c\u53bb\u5e74\u7684\u4ef7\u683c\u4fbf\u5b9c\u4e86 10%\u3002OpenAI \u7684 o1-preview \u76f2\u76ee\u5730\u5e94\u7528\u4e86\u901a\u8d27\u81a8\u80c0\u7387\uff0c\u5c3d\u7ba1\u901a\u8d27\u81a8\u80c0\u7684\u91d1\u989d\u662f\u65e0\u5173\u7d27\u8981\u7684\uff0c\u56e0\u4e3a\u95ee\u9898\u6e05\u695a\u5730\u8868\u660e\u7ed9\u51fa\u7684\u4ef7\u683c\u662f\u300c\u73b0\u5728\u300d\u7684\uff0c\u800c\u4e0d\u662f\u53bb\u5e74\u7684\u3002<\/sup><\/em><\/p>\n<p>\u4e3a\u4ec0\u4e48\u4f1a\u8fd9\u6837\u5462\uff1f\u4e3a\u4ec0\u4e48\u4e00\u4e2a\u80fd\u7406\u89e3\u95ee\u9898\u7684\u6a21\u578b\u4f1a\u88ab\u4e00\u4e2a\u968f\u673a\u7684\u3001\u65e0\u5173\u7684\u7ec6\u8282\u8f7b\u6613\u5730\u5e72\u6270\uff1f\u7814\u7a76\u4eba\u5458\u63d0\u51fa\uff0c\u8fd9\u79cd\u53ef\u9760\u7684\u5931\u8d25\u6a21\u5f0f\u610f\u5473\u7740\u6a21\u578b\u6839\u672c\u4e0d\u61c2\u95ee\u9898\u3002\u5b83\u4eec\u7684\u8bad\u7ec3\u6570\u636e\u786e\u5b9e\u5141\u8bb8\u5b83\u4eec\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u7ed9\u51fa\u6b63\u786e\u7b54\u6848\uff0c\u4f46\u4e00\u65e6\u9700\u8981\u7a0d\u5fae\u771f\u6b63\u7684\u300c\u63a8\u7406\u300d\uff0c\u6bd4\u5982\u662f\u5426\u8ba1\u7b97\u5c0f\u7315\u7334\u6843\uff0c\u5b83\u4eec\u5c31\u5f00\u59cb\u4ea7\u751f\u5947\u602a\u3001\u975e\u76f4\u89c9\u7684\u7ed3\u679c\u3002<\/p>\n<p>\u6b63\u5982\u7814\u7a76\u4eba\u5458\u5728\u4ed6\u4eec\u7684\u8bba\u6587\u4e2d\u6240\u8bf4\uff1a\u300c\u6211\u4eec\u7814\u7a76\u4e86\u8fd9\u4e9b\u6a21\u578b\u4e2d\u6570\u5b66\u63a8\u7406\u7684\u8106\u5f31\u6027\uff0c\u5e76\u8bc1\u660e\u968f\u7740\u95ee\u9898\u4e2d\u5b50\u53e5\u6570\u91cf\u7684\u589e\u52a0\uff0c\u5b83\u4eec\u7684\u6027\u80fd\u663e\u8457\u4e0b\u964d\u3002\u6211\u4eec\u5047\u8bbe\u8fd9\u79cd\u4e0b\u964d\u662f\u56e0\u4e3a\u5f53\u524d\u7684 LLM \u65e0\u6cd5\u8fdb\u884c\u771f\u6b63\u7684\u903b\u8f91\u63a8\u7406\uff1b\u76f8\u53cd\uff0c\u5b83\u4eec\u8bd5\u56fe\u590d\u5236\u5728\u8bad\u7ec3\u6570\u636e\u4e2d\u89c2\u5bdf\u5230\u7684\u63a8\u7406\u6b65\u9aa4\u3002\u300d<\/p>\n<p>\u8fd9\u4e00\u7ed3\u8bba\u5f97\u5230\u4e86 Keras \u4e4b\u7236 Fran\u00e7ois Chollet \u548c\u7f8e\u56fd\u5fc3\u7406\u5b66\u5bb6\u3001\u8ba4\u77e5\u79d1\u5b66\u5bb6 Gary Marcus \u7684\u8f6c\u53d1\uff0c\u4ed6\u4eec\u4e00\u76f4\u5bf9 AI \u5927\u6a21\u578b\u7684\u80fd\u529b\u6301\u6000\u7591\u6001\u5ea6\u3002\u524d\u6bb5\u65f6\u95f4\uff0cFran\u00e7ois Chollet \u8fd8\u53d1\u5e16\u8bf4\uff0cLLM \u901a\u8fc7\u63d0\u793a\u4f7f\u7528\u65f6\uff0c\u65e0\u6cd5\u7406\u89e3\u4e0e\u8bad\u7ec3\u6570\u636e\u4e2d\u60c5\u51b5\u5927\u76f8\u5f84\u5ead\u7684\u60c5\u51b5\uff0c\u56e0\u6b64\u4e0d\u5177\u5907\u901a\u7528\u667a\u80fd\u3002\u4ed6\u8ba4\u4e3a\uff0cLLM \u7684\u4f5c\u7528\u4e3b\u8981\u662f\u4f5c\u4e3a\u5b9e\u9645 AGI \u7684\u77e5\u8bc6\u548c\u7a0b\u5e8f\u5b58\u50a8\uff0c\u5b83\u4eec\u662f\u4e00\u79cd\u8bb0\u5fc6\u5f62\u5f0f\uff0c\u800c\u667a\u80fd\u4e0d\u4ec5\u4ec5\u662f\u8bb0\u5fc6\u3002\u5982\u4eca\uff0c\u82f9\u679c\u7684\u8fd9\u7bc7\u8bba\u6587\u4e3a\u4ed6\u7684\u89c2\u70b9\u63d0\u4f9b\u4e86\u652f\u6491\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-f0525ff8f10b93786b7fa6abf153a890.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-f0525ff8f10b93786b7fa6abf153a890.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-ddf46cd36e3025f64beced067174f679.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-ddf46cd36e3025f64beced067174f679.png\"><\/a><\/p>\n<p>\u4f46\u6765\u81ea OpenAI \u7684\u4e00\u4f4d\u7814\u7a76\u8005\u53cd\u9a73\u4e86\u8be5\u8bba\u6587\u3002\u4ed6\u6307\u51fa\uff0c\u8bb8\u591a\u9876\u7ea7\u7684 LLM \u5b9e\u9645\u4e0a\u662f\u804a\u5929\u6a21\u578b\uff0c\u5b83\u4eec\u88ab\u8bad\u7ec3\u6765\u5904\u7406\u6df7\u4e71\u7684\u804a\u5929\u73af\u5883\uff0c\u9700\u8981\u731c\u6d4b\u7528\u6237\u610f\u56fe\u5e76\u5229\u7528\u6240\u6709\u63d0\u4f9b\u7684\u4fe1\u606f\uff0c\u5373\u4f7f\u8fd9\u4e9b\u4fe1\u606f\u5728\u903b\u8f91\u4e0a\u5e76\u975e\u5fc5\u8981\u3002\u56e0\u6b64\uff0c\u5f53\u8fd9\u4e9b\u6a21\u578b\u5c06\u8fd9\u79cd\u884c\u4e3a\u6cdb\u5316\u5e94\u7528\u4e8e\u6570\u5b66\u95ee\u9898\u65f6\uff0c\u5b83\u4eec\u7684\u8868\u73b0\u5e76\u4e0d\u662f\u56e0\u4e3a\u7f3a\u4e4f\u63a8\u7406\u80fd\u529b\uff0c\u800c\u662f\u56e0\u4e3a\u8fd9\u662f\u5b83\u4eec\u88ab\u8bad\u7ec3\u9075\u5faa\u7684\u9884\u671f\u884c\u4e3a\u3002\u8be5\u89c2\u70b9\u8fd8\u6307\u51fa\uff0c\u4eba\u7c7b\u5728\u89e3\u51b3\u6570\u5b66\u95ee\u9898\u65f6\u901a\u5e38\u6709\u660e\u786e\u7684\u4e0a\u4e0b\u6587\uff0c\u800c LLM \u5728\u5904\u7406\u6570\u5b66\u95ee\u9898\u65f6\u53ef\u80fd\u6ca1\u6709\u8fd9\u6837\u7684\u4e0a\u4e0b\u6587\u3002\u56e0\u6b64\uff0c\u5982\u679c\u901a\u8fc7\u9002\u5f53\u7684\u63d0\u793a\u5de5\u7a0b\uff0c\u5411\u6a21\u578b\u660e\u786e\u8fd9\u662f\u4e00\u4e2a\u6570\u5b66\u8003\u8bd5\u7684\u73af\u5883\uff0c\u90a3\u4e48\u5b83\u4eec\u5728\u6dfb\u52a0\u591a\u4f59\u5b50\u53e5\u65f6\u5bfc\u81f4\u7684\u6027\u80fd\u4e0b\u964d\u53ef\u80fd\u4f1a\u5f97\u5230\u6062\u590d\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-a3bce643777df207b6a2d7eae4a54f5e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-a3bce643777df207b6a2d7eae4a54f5e.png\"><\/a><\/p>\n<p>\u8fd8\u6709\u4eba\u6307\u51fa\uff0c\u5176\u5b9e\u8fd9\u79cd\u73b0\u8c61\u5728\u4eba\u7c7b\u7fa4\u4f53\u4e5f\u80fd\u89c2\u5bdf\u5230\uff0c\u6bd4\u5982\u5728\u5fae\u79ef\u5206\u9898\u76ee\u4e2d\u6dfb\u52a0\u4e0d\u76f8\u5173\u7684\u9648\u8ff0\uff0c\u5f88\u591a\u5927\u5b66\u65b0\u751f\u4e5f\u4f1a\u88ab\u8bef\u5bfc\uff0c\u6216\u8bb8\u4eba\u7c7b\u5728\u63a8\u7406\u65b9\u9762\u5177\u6709\u548c LLM \u7c7b\u4f3c\u7684\u5c40\u9650\u6027\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-76e05dff72e7f79fdd5743588113a70a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-76e05dff72e7f79fdd5743588113a70a.png\"><\/a><\/p>\n<p><strong>\u8bba\u6587\u6982\u8ff0<\/strong><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-0f8f700e871d075efb32e5cce7ee8a72.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-0f8f700e871d075efb32e5cce7ee8a72.png\"><\/a><\/p>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aGSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2410.05229<\/p>\n<\/li>\n<\/ul>\n<p>\u5f53\u524d LLM \u80fd\u5426\u8fdb\u884c\u771f\u6b63\u7684\u903b\u8f91\u63a8\u7406\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u7814\u7a76\u7126\u70b9\u3002\u867d\u7136\u4e00\u4e9b\u7814\u7a76\u7a81\u51fa\u4e86\u5b83\u4eec\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\u7684\u80fd\u529b\uff0c\u4f46\u66f4\u52a0\u4ed4\u7ec6\u7684\u7814\u7a76\u63ed\u793a\u4e86\u5b83\u4eec\u7684\u6839\u672c\u5c40\u9650\u3002\u6587\u732e\u8868\u660e\uff0cLLM \u4e2d\u7684\u63a8\u7406\u8fc7\u7a0b\u662f\u6982\u7387\u6027\u6a21\u5f0f\u5339\u914d\uff0c\u800c\u4e0d\u662f\u5f62\u5f0f\u5316\u63a8\u7406\u3002\u5c3d\u7ba1 LLM \u80fd\u591f\u5339\u914d\u66f4\u62bd\u8c61\u7684\u63a8\u7406\u6a21\u5f0f\uff0c\u4f46\u5b83\u4eec\u672a\u80fd\u8fbe\u5230\u771f\u6b63\u7684\u903b\u8f91\u63a8\u7406\u3002<\/p>\n<p>\u8f93\u5165 token \u7684\u5fae\u5c0f\u53d8\u5316\u53ef\u4ee5\u5927\u5e45\u6539\u53d8\u6a21\u578b\u8f93\u51fa\uff0c\u8868\u660e\u4e86\u5f3a\u70c8\u7684 token bias\uff0c\u5e76\u8868\u660e\u8fd9\u4e9b\u6a21\u578b\u9ad8\u5ea6\u654f\u611f\u4e14\u8106\u5f31\u3002\u6b64\u5916\uff0c\u5728\u9700\u8981\u6b63\u786e\u9009\u62e9\u591a\u4e2a token \u7684\u4efb\u52a1\u4e2d\uff0c\u968f\u7740\u6d89\u53ca\u7684 token \u6216\u6b65\u9aa4\u6570\u91cf\u7684\u589e\u52a0\uff0c\u5f97\u5230\u51c6\u786e\u7b54\u6848\u7684\u6982\u7387\u5448\u6307\u6570\u7ea7\u4e0b\u964d\uff0c\u8fd9\u8868\u660e\u5b83\u4eec\u5728\u590d\u6742\u63a8\u7406\u573a\u666f\u4e2d\u975e\u5e38\u4e0d\u53ef\u9760\u3002<\/p>\n<p>\u6570\u5b66\u63a8\u7406\u662f\u4e00\u9879\u5173\u952e\u7684\u8ba4\u77e5\u6280\u80fd\uff0c\u5b83\u652f\u6301\u8bb8\u591a\u79d1\u5b66\u548c\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u95ee\u9898\u89e3\u51b3\u3002OpenAI 2021 \u5e74\u63d0\u51fa\u7684 GSM8K\uff08Grade School Math 8K\uff09\u5c0f\u5b66\u6570\u5b66\u9898\u6570\u636e\u96c6\u5df2\u6210\u4e3a\u8bc4\u4f30 LLM \u6570\u5b66\u63a8\u7406\u80fd\u529b\u7684\u6d41\u884c\u57fa\u51c6\u3002\u5c3d\u7ba1\u5b83\u5305\u542b\u4e86\u8be6\u7ec6\u7684\u89e3\u51b3\u65b9\u6848\u7684\u7b80\u5355\u6570\u5b66\u95ee\u9898\uff0c\u9002\u5408\u4f7f\u7528\u601d\u7ef4\u94fe\uff08CoT\uff09\u63d0\u793a\u7b49\u6280\u672f\uff0c\u4f46\u5b83\u53ea\u63d0\u4f9b\u4e86\u4e00\u4e2a\u56fa\u5b9a\u95ee\u9898\u96c6\u4e0a\u7684\u5355\u4e00\u6307\u6807\u3002\u8fd9\u79cd\u5c40\u9650\u6027\u9650\u5236\u4e86\u5bf9\u6a21\u578b\u6570\u5b66\u63a8\u7406\u80fd\u529b\u7684\u5168\u9762\u6d1e\u5bdf\u3002\u6b64\u5916\uff0cGSM8K \u7684\u6d41\u884c\u548c\u666e\u904d\u6027\u53ef\u80fd\u4f1a\u589e\u52a0\u610f\u5916\u6570\u636e\u6c61\u67d3\u7684\u98ce\u9669\u3002\u6700\u540e\uff0cGSM8K \u7684\u9759\u6001\u6027\u8d28\u4e0d\u5141\u8bb8\u8fdb\u884c\u53ef\u63a7\u5b9e\u9a8c\u4ee5\u4e86\u89e3\u6a21\u578b\u7684\u5c40\u9650\u6027\uff0c\u4f8b\u5982\u5728\u4e0d\u540c\u6761\u4ef6\u4e0b\u7684\u884c\u4e3a\u6216\u95ee\u9898\u65b9\u9762\u548c\u96be\u5ea6\u6c34\u5e73\u7684\u53d8\u5316\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-7b430a4900448bf0c4e30a6019110445.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-7b430a4900448bf0c4e30a6019110445.png\"><\/a><\/p>\n<p>\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u9700\u8981\u4e00\u4e2a\u66f4\u591a\u6837\u5316\u548c\u9002\u5e94\u6027\u5f3a\u7684\u8bc4\u4f30\u6846\u67b6 \u2014\u2014 \u4e00\u4e2a\u80fd\u591f\u751f\u6210\u591a\u6837\u5316\u7684\u95ee\u9898\u53d8\u4f53\u5e76\u8c03\u6574\u590d\u6742\u6027\u6c34\u5e73\u4ee5\u66f4\u597d\u5730\u63a2\u7d22 LLM \u7684\u9c81\u68d2\u6027\u548c\u63a8\u7406\u80fd\u529b\u7684\u6846\u67b6\u3002\u8fd9\u5c06\u6709\u52a9\u4e8e\u66f4\u6df1\u5165\u5730\u4e86\u89e3\u8fd9\u4e9b\u6a21\u578b\u5728\u6570\u5b66\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u4f18\u52bf\u548c\u52a3\u52bf\u3002\u4f5c\u8005\u505a\u51fa\u4e86\u4ee5\u4e0b\u8d21\u732e\uff1a<\/p>\n<p>\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0cAI \u793e\u533a\u9700\u8981\u6784\u5efa\u4e00\u4e2a\u66f4\u52a0\u591a\u6837\u5316\u4e14\u9002\u5e94\u6027\u66f4\u5f3a\u7684\u8bc4\u4f30\u6846\u67b6\u3002\u8fd9\u4e2a\u6846\u67b6\u8981\u80fd\u751f\u6210\u591a\u6837\u5316\u7684\u95ee\u9898\u53d8\u4f53\uff0c\u5e76\u8c03\u6574\u590d\u6742\u6027\u6c34\u5e73\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u63a2\u7d22 LLM \u7684\u7a33\u5065\u6027\u548c\u63a8\u7406\u80fd\u529b\u3002<\/p>\n<p>\u8bba\u6587\u7684\u4e3b\u8981\u8d21\u732e\u5982\u4e0b\uff1a \u00a0<\/p>\n<p>1\u3001\u4f5c\u8005\u63d0\u51fa\u4e86 GSM-Symbolic\uff0c\u8fd9\u662f\u4e00\u4e2a\u589e\u5f3a\u7684\u57fa\u51c6\uff0c\u5b83\u4f7f\u7528\u7b26\u53f7\u6a21\u677f\u751f\u6210 GSM8K \u95ee\u9898\u7684\u591a\u6837\u5316\u53d8\u4f53\u3002\u8fd9\u4f7f\u5f97\u7814\u7a76\u8005\u80fd\u591f\u5bf9 LLM \u5728\u5404\u79cd\u8bbe\u7f6e\u4e2d\u7684\u6027\u80fd\u8fdb\u884c\u66f4\u7ec6\u81f4\u548c\u53ef\u9760\u7684\u8bc4\u4f30\uff0c\u8d85\u8d8a\u4e86\u5355\u70b9\u51c6\u786e\u5ea6\u6307\u6807\u3002\u4f5c\u8005\u5bf9 25 \u4e2a\u6700\u5148\u8fdb\u7684\u5f00\u653e\u548c\u5c01\u95ed\u6a21\u578b\u8fdb\u884c\u4e86\u5927\u89c4\u6a21\u7814\u7a76\uff0c\u4e3a LLM \u5728\u6570\u5b66\u63a8\u7406\u4efb\u52a1\u4e2d\u7684\u884c\u4e3a\u63d0\u4f9b\u4e86\u91cd\u8981\u7684\u89c1\u89e3\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-423172946133f165d5dd5bfb0f95d804.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-423172946133f165d5dd5bfb0f95d804.png\"><\/a><\/p>\n<p>2\u3001\u4f5c\u8005\u8d28\u7591\u4e86\u5f53\u524d\u5728 GSM8K \u4e0a\u62a5\u544a\u7684\u7ed3\u679c\u7684\u53ef\u9760\u6027\uff0c\u5e76\u8bc1\u660e LLM \u7684\u6027\u80fd\u5728\u5904\u7406\u540c\u4e00\u95ee\u9898\u7684\u4e0d\u540c\u8868\u8ff0\u65f6\uff0c\u5176\u8868\u73b0\u7684\u6ce2\u52a8\u6027\u662f\u4e0d\u5408\u7406\u7684\u3002\u4ed6\u4eec\u5c55\u793a\u4e86\u6240\u6709\u6a21\u578b\u5728 GSM-Symbolic \u4e0a\u7684\u6027\u80fd\u4e0b\u964d\uff0c\u6697\u793a\u4e86\u6f5c\u5728\u7684\u6570\u636e\u6c61\u67d3\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d854b498e4a95dbcb8cbd56e1f05828b.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d854b498e4a95dbcb8cbd56e1f05828b.png\"><\/a><\/p>\n<p>3\u3001\u4f5c\u8005\u5c55\u793a\u4e86 LLM \u5bf9\u8868\u9762\u5143\u7d20\uff08\u5982\u4e13\u6709\u540d\u8bcd\uff09\u7684\u53d8\u5316\u66f4\u5177\u7a33\u5065\u6027\uff0c\u4f46\u5bf9\u6570\u503c\u53d8\u5316\u975e\u5e38\u654f\u611f\u3002\u4ed6\u4eec\u5c55\u793a\u4e86\u968f\u7740\u5b50\u53e5\u6570\u91cf\u7684\u589e\u52a0\uff0c\u6a21\u578b\u6027\u80fd\u4f1a\u4e0b\u964d\uff0c\u65b9\u5dee\u4f1a\u589e\u52a0\u3002\u8868\u660e LLM \u7684\u63a8\u7406\u80fd\u529b\u5728\u590d\u6742\u6027\u589e\u52a0\u65f6\u4f1a\u9047\u5230\u56f0\u96be\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-88998b1d4368c3cc43b67933a7c237e1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-88998b1d4368c3cc43b67933a7c237e1.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-8a3daeec6e523f31fcced37e93c49fe5.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-8a3daeec6e523f31fcced37e93c49fe5.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-df720af92e846152aa1e0b3346546bec.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-df720af92e846152aa1e0b3346546bec.png\"><\/a><\/p>\n<p>4\u3001\u6700\u540e\uff0c\u4f5c\u8005\u8fdb\u4e00\u6b65\u8d28\u7591\u4e86 LLM \u7684\u63a8\u7406\u80fd\u529b\uff0c\u5e76\u5f15\u5165\u4e86 GSM-NoOp \u6570\u636e\u96c6\u3002\u901a\u8fc7\u5728\u95ee\u9898\u4e2d\u6dfb\u52a0\u770b\u4f3c\u76f8\u5173\u4f46\u6700\u7ec8\u65e0\u5173\u7684\u4fe1\u606f\uff0c\u4f5c\u8005\u5c55\u793a\u4e86\u6240\u6709 SOTA \u6a21\u578b\u7684\u663e\u8457\u6027\u80fd\u4e0b\u964d\uff08\u6700\u9ad8\u7684\u53ef\u4ee5\u8fbe\u5230 65%\uff09\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d883060946160683a6290076341ffdff.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d883060946160683a6290076341ffdff.png\"><\/a><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-1272c51482f7054132b3d79c0df4da50.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-1272c51482f7054132b3d79c0df4da50.png\"><\/a><\/p>\n<p>\u8fd9\u63ed\u793a\u4e86\u6a21\u578b\u5728\u8fa8\u522b\u76f8\u5173\u4fe1\u606f\u4ee5\u89e3\u51b3\u95ee\u9898\u80fd\u529b\u65b9\u9762\u7684\u4e00\u4e2a\u5173\u952e\u7f3a\u9677\uff0c\u8fd9\u53ef\u80fd\u662f\u56e0\u4e3a\u5b83\u4eec\u7684\u63a8\u7406\u4e0d\u662f\u5e38\u8bc6\u610f\u4e49\u4e0a\u7684\u5f62\u5f0f\u5316\u63a8\u7406\uff0c\u800c\u4e3b\u8981\u57fa\u4e8e\u6a21\u5f0f\u5339\u914d\u3002\u4f5c\u8005\u8868\u660e\uff0c\u5373\u4f7f\u63d0\u4f9b\u4e86\u540c\u4e00\u95ee\u9898\u7684\u591a\u4e2a\u793a\u4f8b\u6216\u5305\u542b\u7c7b\u4f3c\u4e0d\u76f8\u5173\u4fe1\u606f\u7684\u793a\u4f8b\uff0cLLM \u4e5f\u96be\u4ee5\u514b\u670d GSM-NoOp \u5e26\u6765\u7684\u6311\u6218\u3002\u8fd9\u8868\u660e\uff0c\u4ed6\u4eec\u7684\u63a8\u7406\u8fc7\u7a0b\u4e2d\u5b58\u5728\u66f4\u6df1\u5c42\u6b21\u7684\u95ee\u9898\uff0c\u8fd9\u4e9b\u95ee\u9898\u65e0\u6cd5\u901a\u8fc7\u4e0a\u4e0b\u6587\u6837\u672c\u6765\u7f13\u89e3\uff0c\u8fd8\u9700\u8981\u8fdb\u4e00\u6b65\u7814\u7a76\u3002<\/p>\n<p><strong>GSM-Symbolic\u00a0<\/strong><\/p>\n<p>GSM8K \u6570\u636e\u96c6\u5305\u542b 8000 \u591a\u4e2a\u5c0f\u5b66\u6570\u5b66\u9898\u548c\u7b54\u6848\uff0c\u5206\u4e3a 7473 \u4e2a\u8bad\u7ec3\u6837\u4f8b\u548c 1319 \u4e2a\u6d4b\u8bd5\u6837\u4f8b\uff0c\u9898\u76ee\u5982\u56fe 1 \u6240\u793a\u3002<\/p>\n<p>\u4f46\u662f\uff0c\u7531\u4e8e GSM8K \u6bd4\u8f83\u6d41\u884c\uff0c\u56e0\u6b64\u5b58\u5728\u6570\u636e\u6c61\u67d3\u7684\u98ce\u9669\u3002<\/p>\n<p>\u8fd9\u4e9b\u9650\u5236\u4fc3\u4f7f\u4eba\u4eec\u52aa\u529b\u751f\u6210\u65b0\u7684\u6570\u636e\u96c6\u548c\u53d8\u4f53\u3002\u6bd4\u5982 iGSM \u662f\u901a\u8fc7\u5408\u6210 pipeline \u521b\u5efa\u7684\u6570\u5b66\u6570\u636e\u96c6\uff0c\u6355\u83b7\u4e86\u5206\u5c42\u548c\u56fe\u7ed3\u6784\u4e2d\u7684\u53c2\u6570\u4f9d\u8d56\u5173\u7cfb\uff1bGSM-Plus \u5f15\u5165\u4e86 GSM8K \u95ee\u9898\u7684\u53d8\u4f53\uff0c\u4f46\u7f3a\u4e4f\u7b26\u53f7\u6a21\u677f\uff0c\u5e76\u4e14\u5177\u6709\u56fa\u5b9a\u7684\u5927\u5c0f\u548c\u96be\u5ea6\u3002<\/p>\n<p>GSM-Symbolic \u7684\u8bbe\u8ba1\u80fd\u591f\u751f\u6210\u5927\u91cf\u5b9e\u4f8b\uff0c\u5e76\u5141\u8bb8\u66f4\u7cbe\u7ec6\u5730\u63a7\u5236\u95ee\u9898\u96be\u5ea6\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-a3ae9cc8ce41a6660be1ea9437d44a0e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-a3ae9cc8ce41a6660be1ea9437d44a0e.png\"><\/a><\/p>\n<p><strong>GSM-Symbolic\uff1a\u6a21\u677f\u751f\u6210<\/strong><\/p>\n<p>\u7ed9\u5b9a\u6765\u81ea GSM8K \u6d4b\u8bd5\u96c6\u7684\u7279\u5b9a\u793a\u4f8b\uff0c\u4f5c\u8005\u521b\u5efa\u4e86\u5982\u56fe 1\uff08\u53f3\uff09\u6240\u793a\u7684\u53ef\u89e3\u6790\u6a21\u677f\u3002\u6807\u6ce8\u8fc7\u7a0b\u5305\u62ec\u53d8\u91cf\u3001\u57df\u4ee5\u53ca\u5fc5\u8981\u6761\u4ef6\uff0c\u4ee5\u786e\u4fdd\u95ee\u9898\u548c\u7b54\u6848\u7684\u6b63\u786e\u6027\u3002\u4e3e\u4f8b\u6765\u8bf4\uff0c\u7531\u4e8e\u95ee\u9898\u662f\u5c0f\u5b66\u6c34\u5e73\u7684\uff0c\u56e0\u6b64\u4e00\u4e2a\u5e38\u89c1\u7684\u6761\u4ef6\u662f\u53ef\u6574\u9664\u6027\uff0c\u4ee5\u786e\u4fdd\u7b54\u6848\u662f\u6574\u6570\u3002<\/p>\n<p>\u4f5c\u8005\u4f7f\u7528\u4e86\u5e38\u89c1\u7684\u4e13\u6709\u540d\u79f0\uff08\u4f8b\u5982 persons\uff0cfoods\uff09\u6765\u7b80\u5316\u6a21\u677f\u521b\u5efa\u3002\u521b\u5efa\u6a21\u677f\u540e\uff0c\u4f5c\u8005\u8fd8\u4f1a\u5e94\u7528\u81ea\u52a8\u68c0\u67e5\u6765\u786e\u4fdd\u6ce8\u91ca\u8fc7\u7a0b\u7684\u6b63\u786e\u65e0\u8bef\u3002\u4f8b\u5982\u6700\u7ec8\u7b54\u6848\u662f\u5426\u4e0e\u539f\u59cb\u95ee\u9898\u7684\u7b54\u6848\u76f8\u5339\u914d\u3002\u751f\u6210\u6570\u636e\u540e\uff0c\u8fd8\u9700\u8981\u624b\u52a8\u5ba1\u67e5\u6bcf\u4e2a\u6a21\u677f\u7684 10 \u4e2a\u968f\u673a\u6837\u672c\u3002<\/p>\n<p><strong>\u5b9e\u9a8c\u8bbe\u7f6e<\/strong><\/p>\n<p>\u6a21\u578b\u3002\u4f5c\u8005\u62a5\u544a\u4e86 20 \u591a\u4e2a\u4e0d\u540c\u5927\u5c0f\u7684\u5f00\u6e90\u6a21\u578b\uff0c\u4ece 2B \u5230 27B \u4e0d\u7b49\u3002\u6b64\u5916\uff0c\u4f5c\u8005\u8fd8\u62a5\u544a\u4e86\u6700\u5148\u8fdb\u7684\u95ed\u6e90\u6a21\u578b\uff0c\u4f8b\u5982 GPT-4o-mini\u3001GPT-4o\u3001o1-mini \u548c o1-preview\u3002\u5b8c\u6574\u7ed3\u679c\u5982\u8868 1 \u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-0447828cee4ecd3427918397c23125c6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-0447828cee4ecd3427918397c23125c6.png\"><\/a><\/p>\n<p><strong>\u5b9e\u9a8c\u53ca\u7ed3\u679c<\/strong><\/p>\n<p><strong>\u5f53\u524d\u7684 GSM8K \u7ed3\u679c\u6709\u591a\u53ef\u9760\uff1f<\/strong><\/p>\n<p>\u9996\u5148\uff0c\u4f5c\u8005\u8bc4\u4f30\u4e86\u51e0\u79cd SOTA \u6a21\u578b\u5728 GSM-Symbolic \u4e0a\u7684\u8868\u73b0\uff0c \u901a\u8fc7\u4fee\u6539\u53d8\u91cf\u57df\uff0c\u53ef\u4ee5\u8c03\u6574\u6837\u672c\u6570\u91cf\u548c\u96be\u5ea6\u3002\u5982\u56fe 2 \u6240\u793a\uff0c\u6240\u6709\u6a21\u578b\u5728\u4e0d\u540c\u6570\u636e\u96c6\u4e0a\u90fd\u8868\u73b0\u51fa\u4e0d\u53ef\u5ffd\u89c6\u7684\u65b9\u5dee\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e Gemma2-9B\uff0c\u6700\u5dee\u6027\u80fd\u548c\u6700\u4f73\u6027\u80fd\u4e4b\u95f4\u7684\u5dee\u8ddd\u8d85\u8fc7 12%\uff0c\u800c\u5bf9\u4e8e Phi-3.5-mini\uff0c\u8fd9\u4e00\u5dee\u8ddd\u7ea6\u4e3a 15%\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-4e6a108df472decd78ae60ffa1d584b1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-4e6a108df472decd78ae60ffa1d584b1.png\"><\/a><\/p>\n<p>\u53e6\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u89c2\u5bdf\u7ed3\u679c\u662f\uff0c\u5728\u7528\u4f5c\u6a21\u677f\u7684 100 \u4e2a GSM8K \u793a\u4f8b\u4e2d\uff0c\u539f\u59cb\u95ee\u9898\u7684\u6027\u80fd\uff08\u56fe 2 \u4e2d\u865a\u7ebf\u8868\u793a\uff09\u901a\u5e38\u4e0e GSM-Symbolic \u6027\u80fd\u5206\u5e03\u4e2d\u5fc3\u76f8\u5dee\u4e00\u4e2a\u6807\u51c6\u5dee\u4ee5\u4e0a\uff0c\u901a\u5e38\u4f4d\u4e8e\u5206\u5e03\u7684\u53f3\u4fa7\uff0825 \u4e2a\u6a21\u578b\u4e2d\u6709 21 \u4e2a\u662f\u8fd9\u79cd\u60c5\u51b5\uff09\u3002\u5bf9\u6b64\u7684\u4e00\u4e2a\u89e3\u91ca\u53ef\u80fd\u662f\u6570\u636e\u6c61\u67d3\uff0c\u5176\u4e2d\u6765\u81ea GSM8K \u7684\u4e00\u4e9b\u6d4b\u8bd5\u793a\u4f8b\u65e0\u610f\u4e2d\u51fa\u73b0\u5728\u8fd9\u4e9b\u6a21\u578b\u7684\u8bad\u7ec3\u96c6\u4e2d\uff0c\u5bfc\u81f4\u6027\u80fd\u51fa\u73b0\u504f\u5dee\u3002<\/p>\n<p>\u56fe 3 \u5c55\u793a\u4e86\u51e0\u4e2a\u6a21\u578b\u4ece GSM8K \u5230 GSM-Symbolic \u7684\u6027\u80fd\u4e0b\u964d\u3002\u53ef\u4ee5\u770b\u5230\uff0c\u5bf9\u4e8e Gemma2-9B\u3001Phi-3\u3001Phi-3.5 \u548c Mathstral-7B \u7b49\u6a21\u578b\uff0c\u56fe 2 \u4e2d\u7684\u865a\u7ebf\u4f4d\u4e8e\u53f3\u4fa7\uff0c\u6027\u80fd\u4e0b\u964d\u5e45\u5ea6\u9ad8\u4e8e Llama3-8b \u548c GPT-4o \u7b49\u6a21\u578b\uff0c\u5176\u4e2d GSM8K \u4e0a\u7684\u6027\u80fd\u63a5\u8fd1 GSM-Symbolic \u5206\u5e03\u7684\u4e2d\u5fc3\uff0c\u6027\u80fd\u4e0b\u964d\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002\u8fd9\u4e9b\u7ed3\u679c\u5f15\u5bfc\u4f5c\u8005\u5728\u4e0b\u4e00\u8282\u4e2d\u7814\u7a76 LLM \u63a8\u7406\u80fd\u529b\u7684\u8106\u5f31\u6027\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-92c722bed42ac45ccd274ff13b624b7e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-92c722bed42ac45ccd274ff13b624b7e.png\"><\/a><\/p>\n<p><strong>LLM \u8fdb\u884c\u6570\u5b66\u63a8\u7406\u6709\u591a\u8106\u5f31<\/strong><\/p>\n<p>\u5728\u4e0a\u8ff0\u5b9e\u9a8c\u4e2d\uff0c\u4f5c\u8005\u89c2\u5bdf\u5230\u4ece\u76f8\u540c\u6a21\u677f\u751f\u6210\u7684\u4e0d\u540c\u6570\u636e\u96c6\u4e4b\u95f4\uff0c\u6a21\u578b\u5b58\u5728\u663e\u8457\u7684\u6027\u80fd\u6ce2\u52a8\uff0c\u4ee5\u53ca\u4e0e\u539f\u59cb GSM8K \u51c6\u786e\u7387\u76f8\u5f53\u7684\u6027\u80fd\u4e0b\u964d\u3002\u8fd9\u79cd\u5dee\u5f02\u8868\u660e\uff0c\u5927\u578b\u8bed\u8a00\u6a21\u578b\u6240\u91c7\u7528\u7684\u63a8\u7406\u8fc7\u7a0b\u53ef\u80fd\u4e0d\u662f\u5f62\u5f0f\u5316\u7684\uff0c\u56e0\u6b64\u5bb9\u6613\u53d7\u5230\u67d0\u4e9b\u53d8\u5316\u7684\u5f71\u54cd\u3002<\/p>\n<p>\u4e00\u4e2a\u53ef\u80fd\u7684\u89e3\u91ca\u662f\u8fd9\u4e9b\u6a21\u578b\u4e3b\u8981\u4e13\u6ce8\u4e8e\u5206\u5e03\u5185\u7684\u6a21\u5f0f\u5339\u914d\uff0c\u5373\u5b83\u4eec\u5c06\u7ed9\u5b9a\u7684\u95ee\u9898\u548c\u76f8\u5e94\u7684\u89e3\u51b3\u6b65\u9aa4\u4e0e\u8bad\u7ec3\u6570\u636e\u4e2d\u9047\u5230\u7684\u7c7b\u4f3c\u4f8b\u5b50\u5bf9\u9f50\uff0c\u56e0\u4e3a\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u6d89\u53ca\u5f62\u5f0f\u63a8\u7406\u3002\u63a5\u4e0b\u6765\u4f5c\u8005\u8fdb\u4e00\u6b65\u6df1\u5165\u63a2\u8ba8\u4e86\u8fd9\u4e9b\u89c2\u5bdf\u7ed3\u679c\u3002<\/p>\n<p>\u9996\u5148\uff0c\u4f5c\u8005\u7814\u7a76\u4e86\u53d8\u5316\u7c7b\u578b\u7684\u5f71\u54cd\uff0c\u4ee5\u7406\u89e3\u66f4\u6539\u540d\u79f0\uff08\u4f8b\u5982\uff0c\u4eba\u540d\u3001\u5730\u70b9\u3001\u98df\u7269\u3001\u8d27\u5e01\u7b49\uff09\u4e0e\u66f4\u6539\u6570\u5b57\uff08\u5373\u53d8\u91cf\u7684\u503c\uff09\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n<p>\u56fe 4 \u663e\u793a\uff0c\u5c3d\u7ba1\u6027\u80fd\u53d8\u5316\u4ecd\u7136\u5b58\u5728\uff0c\u4f46\u5728\u66f4\u6539\u540d\u79f0\u65f6\u7684\u65b9\u5dee\u6bd4\u66f4\u6539\u6570\u5b57\u65f6\u8981\u4f4e\u3002\u51e0\u4e4e\u6240\u6709\u6a21\u578b\u7684\u5206\u5e03\u5747\u503c\u4ece\u53f3\u5411\u5de6\u9010\u6e10\u79fb\u52a8\uff0c\u65b9\u5dee\u4e5f\u6709\u6240\u589e\u52a0\u3002\u4f5c\u8005\u8fd8\u89c2\u5bdf\u5230\u968f\u7740\u53d8\u5316\u96be\u5ea6\u7684\u589e\u52a0\uff08\u4ece\u540d\u79f0\u5230\u6570\u5b57\uff09\uff0c\u6a21\u578b\u6027\u80fd\u968f\u4e4b\u4e0b\u964d\u3001\u65b9\u5dee\u589e\u52a0\uff0c\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e\u6700\u5148\u8fdb\u7684 LLM \u7684\u63a8\u7406\u80fd\u529b\u662f\u8106\u5f31\u7684\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-513b4dc735fef6743b1c543eb7920f44.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-513b4dc735fef6743b1c543eb7920f44.png\"><\/a><\/p>\n<p>\u5047\u8bbe LLM \u6ca1\u6709\u8fdb\u884c\u5f62\u5f0f\u63a8\u7406\uff0c\u90a3\u4e48\u95ee\u9898\u96be\u5ea6\u5bf9\u6027\u80fd\u5206\u5e03\u7684\u5f71\u54cd\u6709\u591a\u91cd\u8981\uff1f\u6211\u4eec\u63a5\u7740\u5f80\u4e0b\u770b\u3002<\/p>\n<p><strong>\u9898\u76ee\u96be\u5ea6\u5982\u4f55\u5f71\u54cd\u6a21\u578b\u6027\u80fd\uff1f<\/strong><\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u4f5c\u8005\u57fa\u4e8e GSM-Symb \u751f\u6210\u4e86\u51e0\u4e2a\u65b0\u6a21\u677f\uff0c\u5982\u56fe 5 \u6240\u793a\u3002\u901a\u8fc7\u5220\u9664\u4e00\u4e2a\u5b50\u53e5\uff0c\u5f97\u5230 GSM-Symbolic-Minus-1 \u6216\u7b80\u79f0 GSM-M1\u3002\u540c\u6837\u7684\uff0c\u5728\u95ee\u9898\u4e2d\u6dfb\u52a0\u4e00\u4e2a\u6216\u4e24\u4e2a\u5b50\u53e5\u6765\u589e\u52a0\u96be\u5ea6\uff0c\u5206\u522b\u5f97\u5230 GSM-Symbolic-Plus-1 (GSM-P1) \u548c GSM-Symbolic-Plus-2 (GSM-P2)<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-3262e40c1f7f92d2bc2a1e4f58c3ffa2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-3262e40c1f7f92d2bc2a1e4f58c3ffa2.png\"><\/a><\/p>\n<p>\u5982\u56fe 6 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href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b4c31bb1b6893cb1fb281a12dfdda5ee.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b4c31bb1b6893cb1fb281a12dfdda5ee.png\"><\/a><\/p>\n<p><strong>LLM \u771f\u7684\u53ef\u4ee5\u7406\u89e3\u6570\u5b66\u6982\u5ff5\u5417\uff1f<\/strong><\/p>\n<p>\u524d\u9762\u90e8\u5206\uff0c\u4f5c\u8005\u7814\u7a76\u4e86\u53d8\u5316\u7c7b\u578b\u548c\u96be\u5ea6\u5bf9\u6a21\u578b\u6027\u80fd\u5206\u5e03\u7684\u5f71\u54cd\u3002\u5728\u672c\u8282\u4e2d\uff0c\u4f5c\u8005\u8bc1\u660e\u4e86\u6a21\u578b\u5bb9\u6613\u5728\u8bad\u7ec3\u5206\u5e03\u5916\u7684\u5b9e\u4f8b\u4e0a\u51fa\u73b0\u707e\u96be\u6027\u7684\u6027\u80fd\u4e0b\u964d\uff0c\u8fd9\u53ef\u80fd\u662f\u7531\u4e8e\u5b83\u4eec\u4f9d\u8d56\u4e8e\u5206\u5e03\u6a21\u5f0f\u5339\u914d\u3002<\/p>\n<p>\u4f5c\u8005\u5f15\u5165\u4e86 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data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-480f0d9183c4aeffd3ec7ebe6d6df6b6.png\"><\/a><\/p>\n<p>\u603b\u4f53\u800c\u8a00\uff0c\u4f5c\u8005\u53d1\u73b0\u6a21\u578b\u503e\u5411\u4e8e\u5c06\u53e5\u5b50\u8f6c\u6362\u4e3a\u64cd\u4f5c\uff0c\u800c\u6ca1\u6709\u771f\u6b63\u7406\u89e3\u5176\u542b\u4e49\u3002\u4f8b\u5982\uff0c\u4f5c\u8005\u89c2\u5bdf\u5230\uff0c\u65e0\u8bba\u4e0a\u4e0b\u6587\u5982\u4f55\uff0c\u6a21\u578b\u90fd\u4f1a\u5c06\u6709\u5173\u6298\u6263\u7684\u8bed\u53e5\u89e3\u91ca\u4e3a\u4e58\u6cd5\u3002<\/p>\n<p>\u8fd9\u5f15\u53d1\u4e86\u4e00\u4e2a\u95ee\u9898\uff1a\u8fd9\u4e9b\u6a21\u578b\u662f\u5426\u771f\u6b63\u5145\u5206\u7406\u89e3\u4e86\u6570\u5b66\u6982\u5ff5\u3002\u56e0\u6b64\uff0c\u5982\u56fe 8a \u6240\u793a\uff0c\u6240\u6709\u6d4b\u8bd5\u6a21\u578b\u7684\u6027\u80fd\u90fd\u51fa\u73b0\u4e86\u707e\u96be\u6027\u7684\u4e0b\u964d\uff0c\u5176\u4e2d Phi-3-mini 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[&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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