{"id":1660,"date":"2024-03-29T22:23:22","date_gmt":"2024-03-29T14:23:22","guid":{"rendered":"https:\/\/www.tchepai.com\/?p=1660"},"modified":"2024-03-29T22:23:22","modified_gmt":"2024-03-29T14:23:22","slug":"prompt-analogical-prompting","status":"publish","type":"post","link":"https:\/\/www.kdjingpai.com\/ja\/prompt-analogical-prompting\/","title":{"rendered":"\u4e00\u79cd\u65b0\u7684 Prompt \u65b9\u6cd5\u2014\u2014\u201c\u7c7b\u63a8\u63d0\u793a\u6cd5\u201d\uff08Analogical Prompting\uff09"},"content":{"rendered":"<p>\u4eca\u5929\u8bfb\u4e86\u4e00\u7bc7\u6709\u610f\u601d\u7684\u8bba\u6587\u300a<a href=\"https:\/\/arxiv.org\/abs\/2310.01714\">Large Language Models as Analogical Reasoners<\/a> \u300b\uff0c\u63d0\u5230\u4e86\u4e00\u79cd\u65b0\u7684 Prompt \u65b9\u6cd5\u2014\u2014\u201c\u7c7b\u63a8\u63d0\u793a\u6cd5\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u5982\u679c\u4f60\u5bf9\u63d0\u793a\u5de5\u7a0b\u719f\u6089\u7684\u8bdd\uff0c\u4e00\u5b9a\u542c\u8bf4\u8fc7\u201c\u601d\u7ef4\u94fe\u201d\uff08CoT\uff0cChain of Thought\uff09\uff0c\u53ef\u4ee5\u663e\u8457\u63d0\u5347\u5927\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u7684\u63a8\u7406\u80fd\u529b\u3002\u4f46\u4f7f\u7528 CoT \u7684\u65f6\u5019\uff0c\u662f\u9700\u8981\u6211\u4eec\u9700\u8981\u63d0\u4f9b\u76f8\u5173\u7684\u6307\u5bfc\u6216\u63a8\u7406\u793a\u4f8b\u6765\u5f15\u5bfc\u6a21\u578b\u7684\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u5e38\u7528\u7684\u4e24\u79cd CoT \u65b9\u6cd5\u662f\uff1a \u201c\u96f6\u793a\u4f8b CoT\uff080-shot CoT\uff09\u201d\u201c\u5c11\u793a\u4f8b CoT\uff08few-shot CoT\uff09\u201d\uff0c0-shot CoT \u5c31\u662f\u5728 Prompt \u91cc\u9762\u660e\u786e\u7ed9\u51fa\u63a8\u7406\u6b65\u9aa4\uff0c\u8ba9 LLM \u53c2\u7167\u6b65\u9aa4\u6765\u5b8c\u6210\u63a8\u7406\u3002few-shot CoT \u5219\u662f\u7ed9\u51fa\u5c11\u91cf\u793a\u4f8b\uff0c\u8ba9 LLM \u53c2\u7167\u793a\u4f8b\u6765\u5b8c\u6210\u63a8\u7406\u3002<\/p>\n<p>&nbsp;<\/p>\n<div style=\"width: 3844px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2610\" src=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2.png\" width=\"3834\" height=\"1725\" alt=\"\u4e00\u79cd\u65b0\u7684 Prompt \u65b9\u6cd5\u2014\u2014\u201c\u7c7b\u63a8\u63d0\u793a\u6cd5\u201d\uff08Analogical Prompting\uff09-1\" title=\"\u4e00\u79cd\u65b0\u7684 Prompt \u65b9\u6cd5\u2014\u2014\u201c\u7c7b\u63a8\u63d0\u793a\u6cd5\u201d\uff08Analogical Prompting\uff09-1\" srcset=\"https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2.png 3834w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2-300x135.png 300w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2-1024x461.png 1024w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2-768x346.png 768w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2-1536x691.png 1536w, https:\/\/www.kdjingpai.com\/wp-content\/uploads\/2024\/03\/8550adc4bf942a2-2048x921.png 2048w\" sizes=\"auto, (max-width: 3834px) 100vw, 3834px\" \/><p class=\"wp-caption-text\">\u4e09\u79cd\u63d0\u793a\u65b9\u6cd5\u5bf9\u6bd4<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>\u4e3e\u4f8b\u6765\u8bf4\uff0c\u73b0\u5728\u6709\u4e00\u9053\u6570\u5b66\u9898\uff1a\u201d\u6709\u4e00\u4e2a\u6b63\u65b9\u5f62\uff0c\u5b83\u7684\u56db\u4e2a\u9876\u70b9\u5206\u522b\u662f (-2, 2)\uff0c(2, -2)\uff0c(-2, -6) \u548c (-6, -2)\uff0c\u6c42\u8fd9\u4e2a\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f\u201c<\/p>\n<p>&nbsp;<\/p>\n<p>\u5982\u679c\u4e0d\u7528 CoT\uff0c\u90a3\u4e48\u5c31\u662f\u76f4\u63a5\u5c06\u95ee\u9898\u6254\u7ed9 LLM\uff0c\u8ba9\u5b83\u5f97\u51fa\u7b54\u6848\u3002\u8fd9\u4e2a\u95ee\u9898\u5bf9\u4e8e GPT-4 \u6765\u8bf4\u5e94\u8be5\u53ef\u4ee5\u89e3\u51fa\u6765\uff0c\u4f46\u662f\u5bf9\u4e8e GPT-3.5 \u6765\u8bf4\u6709\u53ef\u80fd\u4f1a\u51fa\u9519\uff0c\u81f3\u4e8e\u5176\u4ed6\u63a8\u7406\u5f31\u4e00\u4e9b\u7684\u6a21\u578b\u6765\u8bf4\u51fa\u9519\u6982\u7387\u5c31\u66f4\u5927\u4e86\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u5982\u679c\u7528 0-shot CoT\uff0c\u90a3\u4e48\u5c31\u662f\u5728 Prompt \u91cc\u9762\u660e\u786e\u7ed9\u51fa\u63a8\u7406\u6b65\u9aa4\uff0c\u6bd4\u5982\uff1a<\/p>\n<blockquote><p>\u8bf7\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u6765\u8ba1\u7b97\uff1a<br \/>\n1\u3001\u5148\u8ba1\u7b97\u4efb\u610f\u4e24\u4e2a\u76f8\u90bb\u9876\u70b9\u7684\u8ddd\u79bb\u4f5c\u4e3a\u6b63\u65b9\u5f62\u8fb9\u957f<br \/>\n2\u3001\u8ba1\u7b97\u8fb9\u957f\u7684\u5e73\u65b9\u5f97\u5230\u6b63\u65b9\u5f62\u9762\u79ef<\/p><\/blockquote>\n<p>\u6309\u7167\u8fd9\u6837\u7684\u6b65\u9aa4\uff0c\u5bf9\u4e8e GPT-3.5 \u8fd9\u6837\u7684 LLM \u6765\u8bf4\u5e94\u8be5\u80fd\u5f97\u5230\u6b63\u786e\u7684\u7ed3\u679c\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u5982\u679c\u7528 few-shot CoT\uff0c\u90a3\u4e48\u5c31\u662f\u7ed9\u51fa\u5c11\u91cf\u793a\u4f8b\uff0c\u6bd4\u5982\uff1a<\/p>\n<blockquote><p>\u95ee\uff1a\u8fd9\u91cc\u6709\u4e00\u4e2a\u6b63\u65b9\u5f62\uff0c\u5b83\u7684\u56db\u4e2a\u9876\u70b9\u5206\u522b\u662f (0, 0)\uff0c(1, 1)\uff0c(0, 1) \u548c (1, 0)\uff0c\u6c42\u8fd9\u4e2a\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<br \/>\n\u7b54\uff1a\u6211\u4eec\u4ece\u4e2d\u9009\u62e9\u4e24\u4e2a\u76f8\u90bb\u9876\u70b9\uff0c\u6bd4\u5982 (0, 0) \u548c (1, 1)\uff0c\u8ba1\u7b97\u5b83\u4eec\u7684\u8ddd\u79bb\u5f97\u5230\u8fb9\u957f\u4e3a1\uff0c\u7136\u540e\u5bf9\u8fb9\u957f\u8ba1\u7b97\u5e73\u65b9\u5f97\u5230\u9762\u79ef\u4e3a1\u3002<br \/>\n\u95ee\uff1a\u6709\u4e00\u4e2a\u6b63\u65b9\u5f62\uff0c\u5b83\u7684\u56db\u4e2a\u9876\u70b9\u5206\u522b\u662f (-2, 2)\uff0c(2, -2)\uff0c(-2, -6) \u548c (-6, -2)\uff0c\u6c42\u8fd9\u4e2a\u6b63\u65b9\u5f62\u7684\u9762\u79ef\u662f\u591a\u5c11\uff1f<\/p><\/blockquote>\n<p>\u6211\u4eec\u5728 Prompt \u91cc\u9762\u660e\u786e\u7ed9\u51fa\u4e00\u4e2a\u793a\u4f8b\uff0c\u544a\u8bc9 LLM \u5e94\u8be5\u53c2\u8003\u793a\u4f8b\u7684\u6b65\u9aa4\u6765\u505a\uff0c\u8fd9\u6837\u5bf9\u4e8e GPT-3.5 \u8fd9\u6837\u7684 LLM \u6765\u8bf4\u5e94\u8be5\u4e5f\u80fd\u5f97\u5230\u6b63\u786e\u7684\u7ed3\u679c\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u90a3\u4e48\u4ec0\u4e48\u662f\u201d\u7c7b\u63a8\u63d0\u793a\u6cd5\u201c\u5462\uff1f<\/p>\n<p>&nbsp;<\/p>\n<p>\u60f3\u60f3\u6211\u4eec\u4e0a\u5b66\u7684\u65f6\u5019\u5b66\u6570\u5b66\uff0c\u5982\u679c\u505a\u8fd9\u6837\u7684\u6570\u5b66\u9898\uff0c\u4f1a\u601d\u8003\u6709\u6ca1\u6709\u505a\u8fc7\u7c7b\u4f3c\u7684\u9898\u76ee\uff0c\u5c24\u5176\u5bf9\u4e8e\u6211\u8fd9\u6837\u7684\u5c0f\u9547\u505a\u9898\u5bb6\uff0c\u5f53\u5e74\u4e0d\u77e5\u9053\u505a\u4e86\u591a\u5c11\u5377\u5b50\uff0c\u5230\u540e\u9762\u770b\u5230\u9898\u76ee\u5c31\u80fd\u60f3\u8d77\u4ee5\u524d\u505a\u8fc7\u7c7b\u4f3c\u7684\u9898\u76ee\uff0c\u7136\u540e\u5c31\u80fd\u5f88\u5feb\u5f97\u51fa\u7b54\u6848\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u5bf9\u4e8e LLM \u6765\u8bf4\uff0c\u5b83\u5bf9\u4e8e\u77e5\u8bc6\u7684\u50a8\u5907\u65b9\u9762\u6bd4\u4eba\u7c7b\u8fd8\u8981\u5f3a\uff0c\u5728\u8bad\u7ec3\u65f6\u5df2\u7ecf\u79ef\u7d2f\u4e86\u5404\u79cd\u77e5\u8bc6\uff0c\u5404\u79cd\u6848\u4f8b\uff0c\u6240\u4ee5\u6211\u4eec\u8981\u505a\u7684\u5c31\u662f\u8981\u201c\u6fc0\u53d1\u201dLLM \u53bb\u627e\u51fa\u4e0e\u95ee\u9898\u76f8\u5173\u7684\u77e5\u8bc6\u548c\u6848\u4f8b\uff0c\u7136\u540e\u7528\u8fd9\u4e9b\u77e5\u8bc6\u548c\u6848\u4f8b\u6765\u63a8\u7406\u89e3\u51b3\u95ee\u9898\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u6240\u4ee5\u201d\u7c7b\u63a8\u63d0\u793a\u6cd5\u201c\uff0c\u5c31\u662f\u8ba9 LLM \u5148\u4e0d\u8981\u7740\u6025\u89e3\u9898\uff0c\u800c\u662f\u5148\u5217\u51fa\u82e5\u5e72\u4e2a\u4e0e\u95ee\u9898\u76f8\u5173\u7684\u4f8b\u5b50\uff0c\u7136\u540e\u501f\u52a9\u8fd9\u4e9b\u4f8b\u5b50\u6765\u63a8\u7406\u89e3\u51b3\u95ee\u9898\u3002\u8fd9\u76f8\u5f53\u4e8e\u8ba9 LLM \u5e2e\u4f60\u53bb\u5199 few-shot\uff0c\u5e2e\u4f60\u751f\u6210\u601d\u7ef4\u94fe\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u7c7b\u4f3c\u4e8e\u4f60\u62ff\u5230\u4e00\u9053\u6570\u5b66\u9898\uff0c\u8ba9\u5b83\u5148\u6309\u7167\u8fd9\u4e2a\u6570\u5b66\u9898\u53bb\u627e\u7c7b\u4f3c\u7684\u4f8b\u9898\u548c\u53c2\u8003\u7b54\u6848\uff0c\u7136\u540e\u8ba9\u5b83\u6309\u7167\u8fd9\u51e0\u4e2a\u4f8b\u9898\u548c\u53c2\u8003\u7b54\u6848\u53bb\u89e3\u539f\u59cb\u9898\u76ee\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>Prompt \u7684\u7ed3\u6784\u5982\u4e0b\uff1a<\/p>\n<blockquote><p>\u521d\u59cb\u95ee\u9898\uff1a\\&lt;\u539f\u59cb\u95ee\u9898\\&gt;<br \/>\n\u76f8\u5173\u95ee\u9898\uff1a\u56de\u60f3\u4e09\u4e2a\u76f8\u5173\u800c\u72ec\u7279\u7684\u95ee\u9898\uff0c\u5e76\u5bf9\u6bcf\u4e2a\u95ee\u9898\u53ca\u5176\u89e3\u51b3\u65b9\u6848\u8fdb\u884c\u63cf\u8ff0\u3002<br \/>\n\u89e3\u51b3\u521d\u59cb\u95ee\u9898\uff1a<\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p>\u8ba9 LLM \u5728\u6536\u5230\u95ee\u9898\u540e\uff0c\u5148\u56de\u60f3\u4e09\u4e2a\u76f8\u5173\u800c\u4e14\u72ec\u7279\u7684\u95ee\u9898\uff0c\u5e76\u4e14\u5217\u51fa\u6bcf\u4e2a\u95ee\u9898\u548c\u89e3\u51b3\u65b9\u6848\uff08\u6700\u597d\u5305\u542b\u6b65\u9aa4\uff09\uff0c\u5e76\u4e14\u4e00\u5b9a\u8981\u5c06\u4e2d\u95f4\u8fc7\u7a0b\u6253\u5370\u51fa\u6765\u3002\u7b49 LLM \u8f93\u51fa\u5b8c\u8fd9\u4e9b\u76f8\u5173\u4f8b\u5b50\u540e\uff0c\u518d\u628a\u539f\u59cb\u95ee\u9898\u6253\u5370\u4e00\u904d\uff08\u9632\u6b62\u9057\u5fd8\uff09\uff0c\u8fd9\u6837 LLM \u5c31\u80fd\u7528\u8fd9\u4e9b\u76f8\u5173\u4f8b\u5b50\u6765\u63a8\u7406\u89e3\u51b3\u539f\u59cb\u95ee\u9898\u4e86\u3002<\/p>\n<p>\u4e00\u4e2a\u5b8c\u6574\u7684\u4f7f\u7528\u7c7b\u63a8\u63d0\u793a\u6cd5\u7684 Prompt \u53c2\u8003\uff1a<\/p>\n<blockquote><p>\u4f60\u7684\u4efb\u52a1\u662f\u89e3\u6570\u5b66\u9898\u3002\u5f53\u9047\u5230\u4e00\u9053\u6570\u5b66\u9898\u65f6\uff0c\u8bf7\u4f60\u5148\u56de\u60f3\u4e00\u4e9b\u76f8\u5173\u7684\u9898\u76ee\u4f5c\u4e3a\u4f8b\u5b50\u3002\u7136\u540e\uff0c\u518d\u53bb\u89e3\u51b3\u6700\u5f00\u59cb\u7684\u90a3\u4e2a\u95ee\u9898\u3002<\/p>\n<p># \u6700\u5f00\u59cb\u7684\u95ee\u9898\uff1a<\/p>\n<p>\u6709\u4e00\u5bb6\u822a\u7a7a\u516c\u53f8\u4e3a\u98de\u673a\u4e0a\u7684\u6bcf\u4f4d\u4e58\u5ba2\u63d0\u4f9b\u665a\u9910\uff0c\u4e58\u5ba2\u53ef\u4ee5\u9009\u62e9\u725b\u6392\u6216\u8005\u9c7c\u3002\u516d\u540d\u673a\u7ec4\u4eba\u5458\u4e2d\u6709\u4e09\u4eba\u53ef\u4ee5\u9009\u62e9\u725b\u6392\uff0c\u4e09\u4eba\u53ef\u4ee5\u9009\u62e9\u9c7c\u3002\u5982\u679c\u98df\u7269\u662f\u968f\u673a\u5206\u914d\u7684\uff0c\u90a3\u4e48\u4e24\u540d\u98de\u884c\u5458\u90fd\u62ff\u5230\u9c7c\u7684\u6982\u7387\u662f\u591a\u5c11\u5462\uff1f<\/p>\n<p># \u64cd\u4f5c\u6307\u5357\uff1a<\/p>\n<p>\u4f60\u7684\u7b54\u6848\u4e2d\u5fc5\u987b\u5305\u542b\u4ee5\u4e0b\u51e0\u70b9\uff1a<\/p>\n<p>## \u76f8\u5173\u95ee\u9898\uff1a<\/p>\n<p>\u8bf7\u4f60\u60f3\u51fa\u4e09\u4e2a\u548c\u6700\u5f00\u59cb\u7684\u95ee\u9898\u76f8\u5173\u7684\u6570\u5b66\u95ee\u9898\u4f5c\u4e3a\u4f8b\u5b50\u3002\u6ce8\u610f\uff0c\u6bcf\u4e2a\u95ee\u9898\u90fd\u5e94\u8be5\u548c\u5176\u5b83\u95ee\u9898\u6709\u6240\u533a\u522b\uff0c\u5305\u62ec\u548c\u6700\u5f00\u59cb\u7684\u95ee\u9898\uff08\u6bd4\u5982\uff0c\u6d89\u53ca\u4e0d\u540c\u7684\u6570\u5b57\u548c\u540d\u5b57\uff09\u3002\u6bcf\u4e2a\u95ee\u9898\u90fd\u8981\u6309\u7167\u4ee5\u4e0b\u7684\u683c\u5f0f\uff1a<\/p>\n<p>&#8211; \u201cQ\uff1a\u201d \u540e\u9762\u5199\u95ee\u9898\u63cf\u8ff0<\/p>\n<p>&#8211; \u201cA\uff1a\u201d \u540e\u9762\u5199\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6cd5\uff0c\u5e76\u628a\u6700\u7ec8\u7b54\u6848\u5199\u5728 \\boxed \u91cc\u3002<\/p>\n<p>## \u89e3\u51b3\u6700\u5f00\u59cb\u7684\u95ee\u9898\uff1a<\/p>\n<p>\u8bf4\uff1a\u201c\u6211\u4eec\u6765\u89e3\u51b3\u4e0b\u9762\u8fd9\u9053\u6570\u5b66\u9898\u3002\u201d \u7136\u540e\u6309\u7167\u4ee5\u4e0b\u7684\u683c\u5f0f\u56de\u7b54\uff1a<\/p>\n<p>Q\uff1a\u628a\u6700\u5f00\u59cb\u7684\u95ee\u9898\u590d\u5236\u7c98\u8d34\u5728\u8fd9\u91cc\u3002<\/p>\n<p>A\uff1a\u89e3\u91ca\u89e3\u51b3\u65b9\u6848\uff0c\u5e76\u628a\u6700\u7ec8\u7b54\u6848\u5199\u5728 \\boxed \u91cc\u3002<\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p>LLM \u4f1a\u8f93\u51fa\u5982\u4e0b\u7684\u7ed3\u679c\uff1a<\/p>\n<blockquote><p>## \u76f8\u5173\u95ee\u9898\uff1a<\/p>\n<p>### \u95ee\u98981\uff1a<\/p>\n<p>&#8211; **Q\uff1a** \u5728\u4e00\u4e2a\u6d3e\u5bf9\u4e0a\uff0c\u6bcf\u4e2a\u4eba\u90fd\u53ef\u4ee5\u9009\u62e9\u5403\u82f9\u679c\u6d3e\u6216\u9999\u8349\u51b0\u6dc7\u6dcb\u3002\u5176\u4e2d\uff0c\u4e94\u540d\u5973\u58eb\u53ef\u4ee5\u9009\u62e9\u5403\u82f9\u679c\u6d3e\uff0c\u4e94\u540d\u5973\u58eb\u53ef\u4ee5\u9009\u62e9\u5403\u9999\u8349\u51b0\u6dc7\u6dcb\u3002\u5982\u679c\u751c\u70b9\u662f\u968f\u673a\u5206\u914d\u7684\uff0c\u90a3\u4e48\u4e24\u540d\u5973\u58eb\u90fd\u62ff\u5230\u9999\u8349\u51b0\u6dc7\u6dcb\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/p>\n<p>&#8211; **A\uff1a** \u4f7f\u7528\u7ec4\u5408\u8ba1\u7b97\u6765\u6c42\u89e3\u6b64\u95ee\u9898\u3002\u603b\u7684\u65b9\u5f0f\u662f\u4ece\u4e94\u540d\u53ef\u4ee5\u9009\u62e9\u51b0\u6dc7\u6dcb\u7684\u5973\u58eb\u4e2d\u9009\u62e9\u4e24\u540d\uff0c\u8fd9\u6709 \\( \\binom{5}{2} = 10 \\) \u79cd\u65b9\u5f0f\u3002\u800c\u603b\u7684\u5206\u914d\u65b9\u5f0f\u662f\u4ece\u5341\u540d\u5973\u58eb\u4e2d\u9009\u62e9\u4e24\u540d\uff0c\u5373 \\( \\binom{10}{2} = 45 \\) \u79cd\u65b9\u5f0f\u3002\u6240\u4ee5\u6982\u7387\u662f \\( \\frac{10}{45} = \\frac{2}{9} \\)\u3002\u6700\u7ec8\u7b54\u6848\u662f \\( \\boxed{\\frac{2}{9}} \\)\u3002<\/p>\n<p>### \u95ee\u98982\uff1a<\/p>\n<p>&#8211; **Q\uff1a** \u5728\u4e00\u6b21\u665a\u5bb4\u4e0a\uff0c\u6bcf\u4e2a\u4eba\u53ef\u4ee5\u9009\u62e9\u7ea2\u9152\u6216\u767d\u9152\u3002\u6709\u56db\u540d\u7537\u58eb\u53ef\u4ee5\u9009\u62e9\u7ea2\u9152\uff0c\u56db\u540d\u7537\u58eb\u53ef\u4ee5\u9009\u62e9\u767d\u9152\u3002\u5982\u679c\u9152\u662f\u968f\u673a\u5206\u914d\u7684\uff0c\u90a3\u4e48\u4e09\u540d\u7537\u58eb\u90fd\u62ff\u5230\u767d\u9152\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/p>\n<p>&#8211; **A\uff1a** \u91c7\u7528\u7c7b\u4f3c\u7684\u65b9\u6cd5\uff0c\u4ece\u56db\u540d\u53ef\u4ee5\u9009\u62e9\u767d\u9152\u7684\u7537\u58eb\u4e2d\u9009\u51fa\u4e09\u540d\uff0c\u6709 \\( \\binom{4}{3} = 4 \\) \u79cd\u65b9\u5f0f\u3002\u800c\u603b\u7684\u5206\u914d\u65b9\u5f0f\u662f\u4ece\u516b\u540d\u7537\u58eb\u4e2d\u9009\u62e9\u4e09\u540d\uff0c\u5373 \\( \\binom{8}{3} = 56 \\) \u79cd\u65b9\u5f0f\u3002\u6240\u4ee5\u6982\u7387\u662f \\( \\frac{4}{56} = \\frac{1}{14} \\)\u3002\u6700\u7ec8\u7b54\u6848\u662f \\( \\boxed{\\frac{1}{14}} \\)\u3002<\/p>\n<p>### \u95ee\u98983\uff1a<\/p>\n<p>&#8211; **Q\uff1a** \u5728\u5496\u5561\u9986\uff0c\u6bcf\u4e2a\u4eba\u53ef\u4ee5\u9009\u62e9\u62ff\u94c1\u6216\u5361\u5e03\u5947\u8bfa\u3002\u6709\u4e09\u540d\u987e\u5ba2\u53ef\u4ee5\u9009\u62e9\u62ff\u94c1\uff0c\u4e09\u540d\u987e\u5ba2\u53ef\u4ee5\u9009\u62e9\u5361\u5e03\u5947\u8bfa\u3002\u5982\u679c\u5496\u5561\u662f\u968f\u673a\u5206\u914d\u7684\uff0c\u90a3\u4e48\u4e00\u540d\u987e\u5ba2\u62ff\u5230\u5361\u5e03\u5947\u8bfa\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/p>\n<p>&#8211; **A\uff1a** \u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u9009\u62e9\u4e00\u540d\u53ef\u4ee5\u559d\u5361\u5e03\u5947\u8bfa\u7684\u987e\u5ba2\uff0c\u6709 \\( \\binom{3}{1} = 3 \\) \u79cd\u65b9\u5f0f\u3002\u603b\u7684\u5206\u914d\u65b9\u5f0f\u662f\u4ece\u516d\u540d\u987e\u5ba2\u4e2d\u9009\u62e9\u4e00\u540d\uff0c\u5373 \\( \\binom{6}{1} = 6 \\) \u79cd\u65b9\u5f0f\u3002\u6240\u4ee5\u6982\u7387\u662f \\( \\frac{3}{6} = \\frac{1}{2} \\)\u3002\u6700\u7ec8\u7b54\u6848\u662f \\( \\boxed{\\frac{1}{2}} \\)\u3002<\/p>\n<p>## \u6211\u4eec\u6765\u89e3\u51b3\u4e0b\u9762\u8fd9\u9053\u6570\u5b66\u9898\u3002<\/p>\n<p>### Q\uff1a\u6709\u4e00\u5bb6\u822a\u7a7a\u516c\u53f8\u4e3a\u98de\u673a\u4e0a\u7684\u6bcf\u4f4d\u4e58\u5ba2\u63d0\u4f9b\u665a\u9910\uff0c\u4e58\u5ba2\u53ef\u4ee5\u9009\u62e9\u725b\u6392\u6216\u8005\u9c7c\u3002\u516d\u540d\u673a\u7ec4\u4eba\u5458\u4e2d\u6709\u4e09\u4eba\u53ef\u4ee5\u9009\u62e9\u725b\u6392\uff0c\u4e09\u4eba\u53ef\u4ee5\u9009\u62e9\u9c7c\u3002\u5982\u679c\u98df\u7269\u662f\u968f\u673a\u5206\u914d\u7684\uff0c\u90a3\u4e48\u4e24\u540d\u98de\u884c\u5458\u90fd\u62ff\u5230\u9c7c\u7684\u6982\u7387\u662f\u591a\u5c11\u5462\uff1f<\/p>\n<p>### A\uff1a\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u7c7b\u4f3c\u7684\u89e3\u51b3\u65b9\u6848\u6765\u5904\u7406\u8fd9\u4e2a\u95ee\u9898\u3002\u6211\u4eec\u6709\u4e09\u540d\u53ef\u4ee5\u9009\u62e9\u9c7c\u7684\u98de\u884c\u5458\uff0c\u6211\u4eec\u8981\u9009\u62e9\u5176\u4e2d\u7684\u4e24\u540d\u3002\u8fd9\u6709 \\( \\binom{3}{2} = 3 \\) \u79cd\u65b9\u5f0f\u3002\u603b\u7684\u5206\u914d\u65b9\u5f0f\u662f\u4ece\u516d\u540d\u98de\u884c\u5458\u4e2d\u9009\u51fa\u4e24\u540d\uff0c\u5373 \\( \\binom{6}{2} = 15 \\) \u79cd\u65b9\u5f0f\u3002\u6240\u4ee5\u6982\u7387\u662f \\( \\frac{3}{15} = \\frac{1}{5} \\)\u3002\u6700\u7ec8\u7b54\u6848\u662f \\( \\boxed{\\frac{1}{5}} \\)\u3002<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u4eca\u5929\u8bfb\u4e86\u4e00\u7bc7\u6709\u610f\u601d\u7684\u8bba\u6587\u300aLarge Language Models as Analogical Reasoners \u300b\uff0c\u63d0\u5230\u4e86\u4e00\u79cd\u65b0\u7684 Prompt \u65b9\u6cd5\u2014\u2014\u201c\u7c7b\u63a8\u63d0\u793a\u6cd5\u3002 &nbsp; \u5982\u679c\u4f60\u5bf9\u63d0\u793a\u5de5\u7a0b\u719f\u6089\u7684\u8bdd\uff0c\u4e00\u5b9a\u542c\u8bf4\u8fc7\u201c\u601d\u7ef4\u94fe\u201d\uff08C&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34],"tags":[],"class_list":["post-1660","post","type-post","status-publish","format-standard","hentry","category-knowledge"],"_links":{"self":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/posts\/1660","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/comments?post=1660"}],"version-history":[{"count":0,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/posts\/1660\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/media?parent=1660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/categories?post=1660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kdjingpai.com\/ja\/wp-json\/wp\/v2\/tags?post=1660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}