{"id":63219,"date":"2025-08-08T18:32:37","date_gmt":"2025-08-08T10:32:37","guid":{"rendered":"https:\/\/swarma.org\/?p=63219"},"modified":"2025-08-08T18:32:37","modified_gmt":"2025-08-08T10:32:37","slug":"ai-%e7%9a%84%e6%80%9d%e7%bb%b4%e5%9c%b0%e5%9b%be%ef%bc%9a%e6%8f%ad%e7%a7%98%e5%a4%a7%e6%a8%a1%e5%9e%8b%e7%9a%84%e6%8e%a8%e7%90%86%e5%9b%be","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=63219","title":{"rendered":"AI \u7684\u601d\u7ef4\u5730\u56fe\uff1a\u63ed\u79d8\u5927\u6a21\u578b\u7684\u201c\u63a8\u7406\u56fe\u201d"},"content":{"rendered":"
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\u8fd1\u5e74\u6765\uff0c\u5927\u89c4\u6a21\u63a8\u7406\u6a21\u578b\u5728\u8bf8\u591a\u9ad8\u96be\u5ea6\u6570\u5b66\u57fa\u51c6\uff08\u5982 GSM8K\u3001MATH500\u3001AIME 2024\uff09\u4e0a\u53d6\u5f97\u4e86\u6700\u5148\u8fdb\u7684\u6027\u80fd\uff0c\u4f46\u5176\u5185\u90e8\u6210\u529f\u673a\u7406\u4ecd\u9c9c\u6709\u89e3\u6790\u3002\u672c\u6587\u63d0\u51fa\u5e76\u6784\u5efa\u4e86\u201c\u63a8\u7406\u56fe\u201d\uff08reasoning graph\uff09\u2014\u2014\u901a\u8fc7\u5bf9\u63a8\u7406\u8fc7\u7a0b\u4e2d\u9690\u85cf\u6001\u8fdb\u884c K-means \u805a\u7c7b\uff0c\u5c06\u6bcf\u4e00\u6b65\u64cd\u4f5c\u6620\u5c04\u4e3a\u56fe\u4e2d\u7684\u8282\u70b9\uff0c\u5e76\u4ee5\u8282\u70b9\u8bbf\u95ee\u987a\u5e8f\u6784\u5efa\u6709\u5411\u8fb9\uff0c\u4ece\u800c\u523b\u753b\u6a21\u578b\u7684\u63a8\u7406\u8def\u5f84\u3002\u57fa\u4e8e\u6b64\uff0c\u6211\u4eec\u7cfb\u7edf\u5730\u5206\u6790\u4e86\u63a8\u7406\u56fe\u7684\u4e09\u5927\u56fe\u8bba\u6027\u8d28\uff1a\u5faa\u73af\u7ed3\u6784\uff08cyclicity\uff09\u3001\u56fe\u76f4\u5f84\uff08diameter\uff09 \u548c\u5c0f\u4e16\u754c\u6307\u6570\uff08small-world index\uff09\u3002\u7814\u7a76\u53d1\u73b0\uff0c\u7ecf\u8fc7\u84b8\u998f\u7684\u63a8\u7406\u6a21\u578b\uff08\u4f8b\u5982 DeepSeek\u2011R1\u2011Distill\u2011Qwen\u201132B\uff09\u76f8\u6bd4\u57fa\u7840\u6a21\u578b\uff0c\u4e0d\u4ec5\u5728\u6bcf\u4e2a\u6837\u672c\u4e2d\u4ea7\u751f\u7ea6 5 \u6b21\u5faa\u73af\uff0c\u56fe\u76f4\u5f84\u66f4\u5927\uff0c\u800c\u4e14\u5c55\u73b0\u51fa\u7ea6 6 \u500d\u7684\u663e\u8457\u5c0f\u4e16\u754c\u7279\u5f81\u3002\u968f\u7740\u4efb\u52a1\u96be\u5ea6\u548c\u6a21\u578b\u5bb9\u91cf\u63d0\u5347\uff0c\u8fd9\u4e9b\u7ed3\u6784\u4f18\u52bf\u66f4\u52a0\u51f8\u663e\uff1a14B \u89c4\u6a21\u6a21\u578b\u7684\u5faa\u73af\u68c0\u6d4b\u7387\u8fbe\u5230\u5cf0\u503c\uff0c32B \u89c4\u6a21\u6a21\u578b\u7684\u63a2\u7d22\u76f4\u5f84\u6700\u5927\uff0c\u5e76\u4e0e\u6a21\u578b\u51c6\u786e\u7387\u5448\u6b63\u76f8\u5173\u3002\u6b64\u5916\uff0c\u9488\u5bf9\u66f4\u4f18\u6570\u636e\u96c6\u8fdb\u884c\u7684\u6709\u76d1\u7763\u5fae\u8c03\u4e5f\u80fd\u7cfb\u7edf\u6027\u5730\u6269\u5c55\u63a8\u7406\u56fe\u76f4\u5f84\u5e76\u63d0\u5347\u6027\u80fd\uff0c\u4e3a\u6570\u636e\u96c6\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u6709\u6548\u6307\u5bfc\u3002\u672c\u6587\u5de5\u4f5c\u5728\u7406\u8bba\u4e0e\u5b9e\u8df5\u5c42\u9762\u5747\u4e3a\u63a8\u7406\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u6027\u4e0e\u6027\u80fd\u63d0\u5347\u63d0\u4f9b\u4e86\u65b0\u89c6\u89d2\u3002<\/span><\/span><\/strong><\/p>\n


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\u8bba\u6587\u9898\u76ee\uff1aTopology of Reasoning: Understanding Large Reasoning Models through Reasoning Graph Properties<\/span><\/span><\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/abs\/2506.05744<\/span><\/span><\/p>\n

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\u8fd1\u5e74\u6765\uff0c\u4ee5 OpenAI\u2011o1\u3001Gemini\u3001Claude\u3001Grok \u53ca DeepSeek\u2011R1 \u4e3a\u4ee3\u8868\u7684\u5927\u89c4\u6a21\u63a8\u7406\u6a21\u578b\uff0c\u901a\u8fc7\u5ef6\u957f\u201c\u601d\u8003\u201d\u8fc7\u7a0b\u800c\u5728\u7f16\u7a0b\u3001\u6570\u5b66\u3001\u79d1\u5b66\u95ee\u9898\u4e0a\u53d6\u5f97\u7a81\u7834\u6027\u8fdb\u5c55\u3002\u7136\u800c\uff0c\u5c3d\u7ba1\u84b8\u998f<\/span>\uff08distillation\uff09<\/span>\u548c\u6709\u76d1\u7763\u5fae\u8c03\u7b49\u6280\u672f\u4f7f\u66f4\u5c0f\u6a21\u578b\u4e5f\u80fd\u6a21\u4eff\u9ad8\u7ea7\u63a8\u7406\u80fd\u529b\uff0c\u5176\u5185\u90e8\u5177\u4f53\u673a\u5236\u5374\u59cb\u7ec8\u4e0d\u660e\u3002\u4e3a\u6df1\u5165\u5256\u6790\u6a21\u578b\u7684\u63a8\u7406\u884c\u4e3a\uff0c\u672c\u6587\u5f15\u5165\u4e86\u201c\u63a8\u7406\u56fe\u201d\u7684\u6982\u5ff5\uff1a\u5c06\u6a21\u578b\u5728\u6bcf\u4e00\u6b65\u63a8\u7406\u65f6\u7684\u9690\u85cf\u6001\u805a\u7c7b\u4e3a\u8282\u70b9\uff0c\u518d\u6839\u636e\u63a8\u7406\u6b65\u9aa4\u7684\u5148\u540e\u5173\u7cfb\u6784\u5efa\u6709\u5411\u56fe\uff0c\u4ee5\u6b64\u76f4\u89c2\u5448\u73b0\u6a21\u578b\u5728\u601d\u8003\u7a7a\u95f4\u4e2d\u7684\u6f2b\u6e38\u548c\u91cd\u8bbf\u60c5\u51b5\u3002<\/span><\/span><\/p>\n


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\u56fe 1. \u63a8\u7406\u56fe\u7684\u6982\u5ff5\uff0c\u6bd4\u8f83\u57fa\u672c\u6a21\u578b\u548c\u5927\u578b\u63a8\u7406\u6a21\u578b\u3002\u8282\u70b9\u8868\u793a\u7b80\u5355\u7684\u8ba1\u7b97\u72b6\u6001\uff08\u4f8b\u5982\uff0c\u5de6\u56fe\u6240\u793a\u7684\u8ba1\u7b97\u6b65\u9aa4\uff09\uff0c\u5176\u4e2d\u901a\u5411\u6700\u7ec8\u7b54\u6848\u7684\u8def\u5f84\u6784\u6210\u63a8\u7406\u56fe\u3002\u6211\u4eec\u5206\u6790\u4e86\u63a8\u7406\u56fe\u7684\u56fe\u8bba\u6027\u8d28\uff0c\u5305\u62ec\u5faa\u73af\u7ed3\u6784\u3001\u76f4\u5f84\u548c\u5c0f\u4e16\u754c\u7279\u5f81\u3002\u7814\u7a76\u8fd9\u4e9b\u7ed3\u6784\u4e0a\u7684\u533a\u522b\u4f7f\u6211\u4eec\u80fd\u591f\u66f4\u597d\u5730\u7406\u89e3\u6700\u8fd1\u5728\u5177\u6709\u6311\u6218\u6027\u7684\u6570\u5b66\u4efb\u52a1\u4e2d\u7684\u8868\u73b0\u6539\u8fdb\u3002<\/span><\/span><\/p>\n


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\u7814\u7a76\u4f7f\u7528\u4e86\u57fa\u7840\u6a21\u578b<\/span>\uff08Qwen2.5\u201132B\uff09<\/span>\u4e0e\u84b8\u998f\u6a21\u578b<\/span>\uff08DeepSeek\u2011R1\u2011Distill\u2011Qwen\u201132B\uff09<\/span>\u8fdb\u884c\u5b9e\u9a8c\uff0c\u5bf9\u6bd4\u5b83\u4eec\u5728 GSM8K \u4e0a\u7684 t-SNE \u53ef\u89c6\u5316\uff0c\u53ef\u4ee5\u6e05\u6670\u5730\u89c2\u5bdf\u5230<\/span><\/span>\u540e\u8005\u63a8\u7406\u56fe\u4e2d\u9891\u7e41\u51fa\u73b0\u95ed\u73af\uff08cycle\uff09\u2014\u2014\u6a21\u578b\u4f1a\u591a\u6b21\u91cd\u8bbf\u76f8\u540c\u8282\u70b9<\/span><\/span><\/strong>\u3002\u8fdb\u4e00\u6b65\u91cf\u5316\u8868\u660e\uff0c\u84b8\u998f\u6a21\u578b\u5728\u6240\u6709\u6d4b\u8bd5\u6837\u672c\u4e2d\u5e73\u5747\u4ea7\u751f\u7ea6\u4e94\u6b21\u5faa\u73af\uff0c\u4e14\u5faa\u73af\u68c0\u6d4b\u7387<\/span>\uff08cycle detection ratio\uff09<\/span>\u4f1a\u968f\u7740\u4efb\u52a1\u96be\u5ea6\u4ece GSM8K \u5230 MATH500 \u518d\u5230 AIME 2024 \u9010\u6b65\u4e0a\u5347\uff0c\u63ed\u793a\u51fa\u5faa\u73af\u7ed3\u6784\u662f\u6a21\u578b\u53cd\u590d\u68c0\u9a8c\u548c\u4fee\u6b63\u601d\u8def\u7684\u91cd\u8981\u8868\u73b0\u3002<\/span><\/span><\/span><\/p>\n


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\u56fe 2. \u57fa\u4e8et-SNE\u5d4c\u5165\u7684GSM8K\u6570\u636e\u96c6\u63a8\u7406\u56fe\u53ef\u89c6\u5316\u3002\u4e0a\u56fe\u4e3a\u57fa\u7840\u6a21\u578b\uff08Qwen2.5-32B\uff09\u7684\u56fe\uff0c\u4e0b\u56fe\u4e3a\u5927\u578b\u63a8\u7406\u6a21\u578b\uff08DeepSeek-R1-Distill-Qwen-32B\uff09\u7684\u56fe\u3002\u4e0e\u57fa\u672c\u6a21\u578b\u76f8\u6bd4\uff0c\u63a8\u7406\u6a21\u578b\u5728\u8d28\u91cf\u4e0a\u7684\u63a2\u7d22\u8303\u56f4\u66f4\u5e7f\uff0c\u5176\u63a8\u7406\u56fe\u4e2d\u7684\u5faa\u73af\u660e\u663e\u66f4\u591a\u3002<\/span><\/span><\/p>\n


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\u56fe\u76f4\u5f84<\/span>\uff08diameter\uff09<\/span>\u5b9a\u4e49\u4e3a\u56fe\u4e2d\u4efb\u610f\u4e24\u8282\u70b9\u6700\u77ed\u8def\u5f84\u957f\u5ea6\u7684\u6700\u5927\u503c\uff0c\u4ee3\u8868\u6a21\u578b\u5728\u63a8\u7406\u65f6\u63a2\u7d22\u7684\u6700\u8fdc\u72b6\u6001\u8ddd\u79bb\u3002\u5b9e\u9a8c\u7ed3\u679c\u663e\u793a\uff0c<\/span><\/span>\u84b8\u998f\u6a21\u578b\u63a8\u7406\u56fe\u7684\u76f4\u5f84\u663e\u8457\u5927\u4e8e\u57fa\u7840\u6a21\u578b<\/span><\/span><\/strong>\uff0c\u4e14\u968f\u7740\u9690\u85cf\u5c42\u6df1\u5ea6\u589e\u52a0\u800c\u6301\u7eed\u589e\u957f\uff0c<\/span><\/span>\u8868\u660e\u66f4\u6df1\u5c42\u7684\u7279\u5f81\u6709\u52a9\u4e8e\u6a21\u578b\u904d\u5386\u66f4\u5e7f\u6cdb\u7684\u63a8\u7406\u7a7a\u95f4<\/span><\/span><\/strong>\uff0c\u4ece\u800c\u652f\u6301\u66f4\u590d\u6742\u7684\u6570\u5b66\u63a8\u7406\u7b56\u7565\u3002<\/span><\/span><\/span><\/p>\n


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\u5c0f\u4e16\u754c\u6307\u6570<\/span>\uff08small-world index\uff09<\/span>\u523b\u753b\u4e86\u56fe\u7684\u5c40\u90e8\u805a\u96c6\u6027\u4e0e\u5168\u5c40\u8fde\u901a\u6027\u4e4b\u95f4\u7684\u5e73\u8861\u3002\u7ecf\u5bf9\u65e0\u5411\u5316\u540e\u7684\u5c0f\u4e16\u754c\u6307\u6570\u5206\u6790\uff0c<\/span><\/span>\u84b8\u998f\u6a21\u578b\u7684\u63a8\u7406\u56fe\u5728\u4fdd\u6301\u9ad8\u805a\u96c6\u7cfb\u6570\u7684\u540c\u65f6\uff0c\u4ecd\u5177\u5907\u8f83\u77ed\u7684\u5e73\u5747\u8def\u5f84\u957f\u5ea6\uff0c\u4f7f\u5f97\u6a21\u578b\u4e0d\u4ec5\u80fd\u5728\u5c40\u90e8\u5feb\u901f\u6062\u590d\u601d\u8def\uff0c\u4e5f\u80fd\u901a\u8fc7\u5c11\u91cf\u8df3\u8f6c\u5feb\u901f\u62b5\u8fbe\u5168\u5c40\u5173\u952e\u4fe1\u606f\u3002<\/span><\/span><\/strong>\u8fd9\u4e00\u7ed3\u6784\u7279\u5f81\u4ece\u7f51\u7edc\u79d1\u5b66\u89d2\u5ea6\u89e3\u91ca\u4e86\u63a8\u7406\u6a21\u578b\u4e3a\u4f55\u80fd\u517c\u987e\u8fde\u8d2f\u6027\u4e0e\u6548\u7387\u3002<\/span><\/span><\/span><\/p>\n


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\u7531 1.5B\u30017B\u300114B \u5230 32B \u591a\u4e2a\u89c4\u6a21\u6a21\u578b\u7684\u5bf9\u6bd4\u63ed\u793a\uff0c\u5faa\u73af\u68c0\u6d4b\u7387\u968f\u89c4\u6a21\u589e\u957f\u800c\u4e0a\u5347\uff0c\u5728 14B \u65f6\u8fbe\u5230\u5cf0\u503c\uff0c\u4f46 32B \u6a21\u578b\u56e0\u51fa\u73b0\u5c11\u91cf\u8bed\u8a00\u6df7\u6742<\/span>\uff08language mixing\uff09<\/span>\u5faa\u73af\u7565\u6709\u4e0b\u964d\uff1b\u5faa\u73af\u8ba1\u6570\u548c\u56fe\u76f4\u5f84\u5219\u968f\u89c4\u6a21\u6301\u7eed\u63d0\u5347\uff0c\u5e76\u4e0e\u6a21\u578b\u5728 AIME 2024 \u4e0a\u7684\u51c6\u786e\u7387\u9ad8\u5ea6\u76f8\u5173\u3002\u8fd9\u8868\u660e\uff0c\u66f4\u5927\u6a21\u578b\u5bb9\u91cf\u4e0d\u4ec5\u80fd\u591f\u589e\u52a0\u6a21\u578b\u4fee\u6b63\u601d\u8def\u7684\u673a\u4f1a\uff0c\u8fd8\u80fd\u62d3\u5c55\u63a8\u7406\u8def\u5f84\u7684\u5e7f\u5ea6\uff0c\u8fdb\u800c\u63d0\u5347\u7efc\u5408\u8868\u73b0\u3002<\/span><\/span><\/p>\n


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\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u4e0a\u6d77\u4ea4\u901a\u5927\u5b66\u526f\u6559\u6388\u5f20\u62f3\u77f3\u3001\u963f\u91cc\u4e91\u5927\u6a21\u578b\u53ef\u89e3\u91ca\u6027\u56e2\u961f\u8d1f\u8d23\u4eba\u6c88\u65ed\u3001\u5f69\u4e91\u79d1\u6280\u9996\u5e2d\u79d1\u5b66\u5bb6\u8096\u8fbe\u3001\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7855\u58eb\u751f\u6768\u660e\u54f2\u548c\u6d59\u6c5f\u5927\u5b66\u535a\u58eb\u751f\u59da\u4e91\u5fd7\u5171\u540c\u53d1\u8d77\u300c\u5927\u6a21\u578b\u53ef\u89e3\u91ca\u6027\u300d\u8bfb\u4e66\u4f1a<\/a>\u3002\u672c\u8bfb\u4e66\u4f1a\u65e8\u5728\u7a81\u7834\u5927\u6a21\u578b\u201c\u9ed1\u7bb1\u201d\u56f0\u5883\uff0c\u5c1d\u8bd5\u4ece\u4ee5\u4e0b\u56db\u4e2a\u89c6\u89d2\u68b3\u7406\u5927\u8bed\u8a00\u6a21\u578b\u53ef\u89e3\u91ca\u6027\u7684\u79d1\u5b66\u65b9\u6cd5\u8bba\uff1a<\/span><\/p>\n

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1. \u5927\u6a21\u578b\u63a8\u7406\u7684\u5929\u82b1\u677f\u5728\u54ea\u91cc\uff1f<\/span><\/a><\/span><\/strong>
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2. \u5927\u8bed\u8a00\u6a21\u578b\u590d\u6742\u63a8\u7406\u7684\u81ea\u6211\u8fdb\u5316\u673a\u5236\uff1a\u7814\u7a76\u7efc\u8ff0\u4e0e\u524d\u6cbf\u5c55\u671b<\/span><\/a><\/span><\/strong>
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4. <\/span>\u6d8c\u73b0\u52a8\u529b\u5b66\u5982\u4f55\u7528\u6765\u5206\u6790\u590d\u6742\u7cfb\u7edf\uff1f | \u65b0\u8bfe\u4e0a\u7ebf<\/span><\/a><\/span><\/strong><\/span>
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6. \u9ad8\u8003\u5206\u6570\u53ea\u662f\u5f20\u5165\u573a\u5238\uff0c\u4f60\u7684\u79d1\u7814\u5192\u9669\u5728\u8fd9\u91cc\u542f\u822a\uff01<\/span><\/a><\/span><\/strong><\/p>\n

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<\/span><\/p>\n


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\u6458\u8981 \u8fd1\u5e74\u6765\uff0c\u5927\u89c4\u6a21\u63a8\u7406\u6a21\u578b\u5728\u8bf8\u591a\u9ad8\u96be\u5ea6\u6570\u5b66\u57fa\u51c6\uff08\u5982 GSM8K\u3001MATH500\u3001AIME 2024\uff09\u4e0a\u53d6\u5f97\u4e86\u6700\u5148\u8fdb\u7684\u6027\u80fd\uff0c\u4f46\u5176\u5185\u90e8\u6210\u529f\u673a\u7406\u4ecd\u9c9c\u6709\u89e3\u6790\u3002\u672c\u6587\u63d0\u51fa\u5e76\u6784\u5efa\u4e86\u201c\u63a8\u7406\u56fe\u201d\uff08reasoning graph\uff09\u2014\u2014\u901a\u8fc7\u5bf9\u63a8\u7406\u8fc7\u7a0b\u4e2d\u9690\u85cf\u6001\u8fdb\u884c K-means \u805a\u7c7b\uff0c\u5c06\u6bcf\u4e00\u6b65\u64cd\u4f5c\u6620\u5c04\u4e3a\u56fe\u4e2d\u7684\u8282\u70b9\uff0c\u5e76\u4ee5…<\/p>\n","protected":false},"author":0,"featured_media":63208,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/63219"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=63219"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/63219\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/63208"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=63219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=63219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=63219"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=63219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}