{"id":6948,"date":"2026-08-15T15:00:52","date_gmt":"2026-08-15T07:00:52","guid":{"rendered":"https:\/\/1ow.top\/index.php\/2026\/08\/15\/gpt-5-6%e5%92%8cfable%e8%81%94%e6%89%8b%ef%bc%8c%e8%a7%a3%e5%86%b3%e4%ba%86%e4%b8%80%e9%81%93%e6%82%ac%e4%ba%8625%e5%b9%b4%e7%9a%84%e6%95%b0%e5%ad%a6%e9%9a%be%e9%a2%98\/"},"modified":"2026-08-15T15:00:52","modified_gmt":"2026-08-15T07:00:52","slug":"gpt-5-6%e5%92%8cfable%e8%81%94%e6%89%8b%ef%bc%8c%e8%a7%a3%e5%86%b3%e4%ba%86%e4%b8%80%e9%81%93%e6%82%ac%e4%ba%8625%e5%b9%b4%e7%9a%84%e6%95%b0%e5%ad%a6%e9%9a%be%e9%a2%98","status":"publish","type":"post","link":"https:\/\/1ow.top\/index.php\/2026\/08\/15\/gpt-5-6%e5%92%8cfable%e8%81%94%e6%89%8b%ef%bc%8c%e8%a7%a3%e5%86%b3%e4%ba%86%e4%b8%80%e9%81%93%e6%82%ac%e4%ba%8625%e5%b9%b4%e7%9a%84%e6%95%b0%e5%ad%a6%e9%9a%be%e9%a2%98\/","title":{"rendered":"GPT-5.6\u548cFable\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u4e8625\u5e74\u7684\u6570\u5b66\u96be\u9898"},"content":{"rendered":"
\"GPT-5.6\u548cFable\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u4e8625\u5e74\u7684\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n
\"GPT-5.6\u548cFable\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u4e8625\u5e74\u7684\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n
\"GPT-5.6\u548cFable\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u4e8625\u5e74\u7684\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n
\"GPT-5.6\u548cFable\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u4e8625\u5e74\u7684\u6570\u5b66\u96be\u9898\"\/<\/div><\/figure>\n

\u4f5c\u8005\u8bfb\u535a\u65f6\u5c31\u5728\u7814\u7a76\uff0c17\u5e74\u540e\u88abAI\u89e3\u5f00\u4e86<\/p>\n

GPT-5.6\u548cFable 5\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u7f6e25\u5e74\u7684\u6570\u5b66\u96be\u9898\u3002<\/p>\n

\u5fae\u8f6f\u7814\u7a76\u9662\u9996\u5e2d\u7814\u7a76\u5458Dimitris Papailiopoulos\uff0c\u8bc1\u660e\u4e86\u4e00\u4e2a\u591a\u9879\u5f0f\u65f6\u95f4\u7b97\u6cd5\uff0c\u80fd\u8ba9MIMO\u68c0\u6d4b\u7cbe\u786e\u547d\u4e2d\u6700\u5927\u4f3c\u7136\u9608\u503c\u3002<\/p>\n

\u4f5c\u8005\u8868\u793a\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u82b1\u4e86\u4ed6\u6574\u6574\u4e03\u5929\u3002<\/p>\n

MIMO\u68c0\u6d4b\u662f\u65e0\u7ebf\u901a\u4fe1\u9886\u57df\u7684\u4e00\u4e2a\u7ecf\u5178\u95ee\u9898\uff0c\u9700\u8981\u63a5\u6536\u7aef\u4ece\u88ab\u566a\u58f0\u6405\u4e71\u7684\u4fe1\u53f7\u4e2d\uff0c\u628a\u53d1\u9001\u7aef\u539f\u672c\u53d1\u51fa\u7684\u4fe1\u606f\u5b8c\u6574\u8fd8\u539f\u3002<\/p>\n

\u7edf\u8ba1\u4e0a\u8fd9\u79cd\u64cd\u4f5c\u5df2\u7ecf\u53ef\u4ee5\u505a\u5230\uff0c\u4f46\u8fc7\u53bb\u7684\u65b9\u6cd5\uff0c\u662f\u7a77\u4e3e\u641c\u7d22\uff0c\u8017\u8d39\u7684\u65f6\u95f4\u662f\u6307\u6570\u7ea7\u7684\u3002<\/p>\n

\u6240\u4ee5\u95ee\u9898\u5c31\u53d8\u6210\uff0c\u80fd\u4e0d\u80fd\u4e0d\u901a\u8fc7\u7a77\u4e3e\uff0c\u5229\u7528\u5feb\u901f\u7b97\u6cd5\u5b9e\u73b0\u8fd8\u539f\u3002<\/p>\n

2001\u5e74\uff0cHassibi\u548cVikalo\u4ee5\u4e3a\u627e\u5230\u4e86\u7a81\u7834\u53e3\uff0c\u4f462005\u5e74\u8fd9\u6761\u8def\u53c8\u88abJald\u00e9n\u548cOttersten\u8bc1\u660e\u8d70\u4e0d\u901a\u3002<\/p>\n

\u6b64\u540e\u5b66\u754c\u53c8\u5148\u540e\u8bd5\u8fc7\u534a\u6b63\u5b9a\u677e\u5f1b\u3001\u6bd4\u7279\u7ffb\u8f6c\u5c40\u90e8\u641c\u7d22\u3001AMP\u3001\u7edf\u8ba1\u7269\u7406\u65b9\u6cd5\uff0c\u6700\u63a5\u8fd1\u7684\u7ed3\u679c\u4e5f\u53ea\u80fd\u505c\u5728\u6bd4\u7406\u8bba\u95e8\u69db\u9ad8\u4e00\u500d\u7684\u5730\u65b9\u3002<\/p>\n

25\u5e74\uff0c\u4e00\u6ce2\u53c8\u4e00\u6ce2\u5b66\u8005\u8f6e\u756a\u4e0a\u9635\uff0c\u4f46\u8c01\u90fd\u6ca1\u80fd\u5543\u4e0b\u6765\u3002<\/p>\n

MIMO\u68c0\u6d4b\uff0c\u662f\u65e0\u7ebf\u901a\u4fe1\u91cc\u7684\u4e00\u4e2a\u57fa\u7840\u95ee\u9898\u3002<\/p>\n

\u53d1\u9001\u7aef\u628aN\u4e2a\u6bd4\u7279\u901a\u8fc7\u4e00\u4e2aN\u00d7N\u7684\u4fe1\u9053\u53d1\u51fa\u53bb\uff0c\u4fe1\u9053\u4f1a\u628a\u8fd9\u4e9b\u6bd4\u7279\u6df7\u5728\u4e00\u8d77\uff0c\u8fd8\u4f1a\u53e0\u52a0\u566a\u58f0\uff1b<\/p>\n

\u63a5\u6536\u7aef\u624b\u91cc\u53ea\u6709\u4e00\u4efd\u88ab\u6405\u4e71\u8fc7\u7684\u4fe1\u53f7\uff0c\u8981\u628a\u53d1\u9001\u7aef\u6700\u521d\u53d1\u51fa\u7684N\u4e2a\u6bd4\u7279\uff0c\u4e00\u4f4d\u4e0d\u5dee\u5730\u627e\u56de\u6765\u3002<\/p>\n

\u7406\u8bba\u4e0a\u6709\u4e00\u4e2a\u4e07\u65e0\u4e00\u5931\u7684\u529e\u6cd5\uff0c\u53eb\u6700\u5927\u4f3c\u7136\u68c0\u6d4b\uff0c\u4e5f\u5c31\u662f\u628a\u6240\u6709\u53ef\u80fd\u7684\u6bd4\u7279\u7ec4\u5408\u90fd\u7b97\u4e00\u904d\uff0c\u627e\u51fa\u8ddf\u63a5\u6536\u5230\u7684\u4fe1\u53f7\u6700\u5339\u914d\u7684\u90a3\u4e00\u4e2a\u3002<\/p>\n

\u8fd9\u79cd\u65b9\u6cd5\u4e00\u5b9a\u80fd\u627e\u5230\u6b63\u786e\u7b54\u6848\uff0c\u524d\u63d0\u662f\u4f60\u613f\u610f\u7b49\u2014\u2014N\u4e2a\u6bd4\u7279\u610f\u5473\u77402\u7684N\u6b21\u65b9\u79cd\u7ec4\u5408\uff0cN\u7a0d\u5fae\u5927\u4e00\u70b9\uff0c\u7a77\u4e3e\u5c31\u8981\u7b97\u5230\u5929\u8352\u5730\u8001\u3002<\/p>\n

1989\u5e74\uff0cSergio Verd\u00fa\u8bc1\u660e\u4e86\u8fd9\u7c7b\u95ee\u9898\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u662fNP-hard\u7684\uff0c\u4e5f\u5c31\u662f\u4e0d\u7ba1\u7528\u4ec0\u4e48\u7b97\u6cd5\uff0c\u90fd\u5b58\u5728\u67d0\u4e9b\u8f93\u5165\u8ba9\u8ba1\u7b97\u91cf\u6307\u6570\u7ea7\u7206\u70b8\u3002<\/p>\n

\u4f46\u300c\u6700\u574f\u60c5\u51b5\u300d\u8bf4\u7684\u662f\u6570\u5b66\u4e0a\u523b\u610f\u6784\u9020\u51fa\u6765\u3001\u4e13\u95e8\u4e3a\u96be\u7b97\u6cd5\u7684\u4fe1\u9053\u77e9\u9635\u3002<\/p>\n

\u73b0\u5b9e\u91cc\u7684\u65e0\u7ebf\u4fe1\u9053\u4e0d\u662f\u8c01\u523b\u610f\u6784\u9020\u7684\uff0c\u5b83\u7684\u6bcf\u4e00\u6b21\u8870\u51cf\u3001\u6bcf\u4e00\u6b21\u566a\u58f0\u90fd\u662f\u968f\u673a\u4ea7\u751f\u7684\uff0c\u4e0d\u4f1a\u6311\u90a3\u4e9b\u6700\u96be\u7b97\u7684\u60c5\u51b5\u6765\u4e3a\u96be\u63a5\u6536\u7aef\u3002<\/p>\n

\u4e8e\u662f\u5b66\u754c\u4ece2000\u5e74\u4ee3\u521d\u5f00\u59cb\u95ee\u4e00\u4e2a\u66f4\u5177\u4f53\u7684\u95ee\u9898\u2014\u2014<\/p>\n

\u5982\u679c\u4fe1\u9053\u662f\u968f\u673a\u4ea7\u751f\u7684\uff0c\u53ea\u8981\u7edf\u8ba1\u4e0a\u5b58\u5728\u6062\u590d\u539f\u59cb\u6bd4\u7279\u7684\u53ef\u80fd\uff0c\u662f\u4e0d\u662f\u5c31\u4e00\u5b9a\u80fd\u627e\u5230\u4e00\u4e2a\u4e0d\u9700\u8981\u7a77\u4e3e\u7684\u7b97\u6cd5\uff1f<\/p>\n

\u540e\u6765\u7684\u7814\u7a76\u7ed9\u51fa\u4e86\u4e00\u6761\u7cbe\u786e\u7684\u5206\u754c\u7ebf\uff0c\u5f53\u4fe1\u566a\u6bd4\u8fbe\u52302logN\uff0c\u53d1\u9001\u7684\u6bd4\u7279\u80fd\u591f\u88ab\u5b8c\u5168\u6062\u590d\u7684\u6982\u7387\u8d8b\u8fd1\u4e8e1\u3002<\/p>\n

\u4f4e\u4e8e\u8fd9\u6761\u7ebf\uff0c\u8fde\u6700\u5927\u4f3c\u7136\u68c0\u6d4b\u672c\u8eab\u90fd\u4f1a\u5f00\u59cb\u51fa\u9519\uff0c\u8fd9\u6761\u5206\u754c\u7ebf\u56e0\u6b64\u88ab\u79f0\u4e3a\u6700\u5927\u4f3c\u7136\u9608\u503c\u3002<\/p>\n

\u95ee\u9898\u4e8e\u662f\u53d8\u5f97\u5177\u4f53\u2014\u2014\u80fd\u4e0d\u80fd\u8bbe\u8ba1\u4e00\u4e2a\u8dd1\u5f97\u5feb\u7684\u7b97\u6cd5\uff0c\u7cbe\u786e\u547d\u4e2d\u6700\u5927\u4f3c\u7136\u9608\u503c\uff1f<\/p>\n

2001\u5e74\uff0cBabak Hassibi\u548cHaris Vikalo\u4ee5\u4e3a\u627e\u5230\u4e86\u7b54\u6848\u3002<\/p>\n

\u4ed6\u4eec\u5206\u6790\u7684\u662f\u4e00\u79cd\u53eb\u7403\u5f62\u8bd1\u7801\uff08sphere decoder\uff09\u7684\u7b97\u6cd5\u3002<\/p>\n

\u8fd9\u79cd\u7b97\u6cd5\u5148\u5728\u63a5\u6536\u4fe1\u53f7\u5468\u56f4\u5212\u51fa\u4e00\u4e2a\u300c\u7403\u300d\uff0c\u53ea\u5728\u7403\u5185\u7684\u5019\u9009\u91cc\u641c\u7d22\uff0c\u7403\u5916\u7684\u76f4\u63a5\u8df3\u8fc7\uff0c\u9760\u8fd9\u4e00\u6b65\u538b\u7f29\u641c\u7d22\u8303\u56f4\u3002<\/p>\n

Hassibi\u548cVikalo\u63a8\u5bfc\u51fa\u8fd9\u4e2a\u7b97\u6cd5\u7684\u671f\u671b\u590d\u6742\u5ea6\u516c\u5f0f\uff0c\u7ed3\u679c\u770b\u8d77\u6765\u662f\u591a\u9879\u5f0f\u65f6\u95f4\u7684\u3002<\/p>\n

\u5982\u679c\u8fd9\u4e2a\u7ed3\u8bba\u6210\u7acb\uff0c\u8fd9\u9053\u9898\u57fa\u672c\u5c31\u89e3\u51b3\u4e86\u3002<\/p>\n

\u4f462005\u5e74\uff0cJoakim Jald\u00e9n\u548cBj\u00f6rn Ottersten\u628a\u8fd9\u4e2a\u7ed3\u8bba\u63a8\u7ffb\u4e86\u3002<\/p>\n

\u4ed6\u4eec\u8bc1\u660e\uff0c\u5728\u4efb\u610f\u56fa\u5b9a\u7684\u4fe1\u566a\u6bd4\u4e0b\uff0c\u7403\u5f62\u8bd1\u7801\u7684\u671f\u671b\u590d\u6742\u5ea6\u5176\u5b9e\u662f\u6307\u6570\u7ea7\u7684\uff0c\u4e0d\u662f\u591a\u9879\u5f0f\u7684\u3002<\/p>\n

\u539f\u56e0\u662f\u8981\u4ee5\u4e0d\u8d8b\u4e8e\u96f6\u7684\u6982\u7387\u628a\u53d1\u9001\u7684\u4fe1\u53f7\u5305\u8fdb\u300c\u7403\u300d\u91cc\uff0c\u7403\u7684\u534a\u5f84\u5fc5\u987b\u8ddf\u7740\u95ee\u9898\u89c4\u6a21\u4e00\u8d77\u53d8\u5927\uff0c\u7403\u4e00\u65e6\u53d8\u5927\uff0c\u7403\u5185\u8981\u641c\u7d22\u7684\u5019\u9009\u6570\u91cf\u4e5f\u8ddf\u7740\u6307\u6570\u7ea7\u589e\u957f\u3002<\/p>\n

\u7403\u5f62\u8bd1\u7801\u8fd9\u6761\u8def\u8d70\u4e0d\u901a\u4e4b\u540e\uff0c\u5b66\u754c\u8f6c\u5411\u4e86\u5404\u79cd\u8fd1\u4f3c\u65b9\u6cd5\u2014\u2014\u534a\u6b63\u5b9a\u677e\u5f1b\u3001\u6bd4\u7279\u7ffb\u8f6c\u5c40\u90e8\u641c\u7d22\u3001AMP\uff08approximate message passing\uff09\u3001\u7edf\u8ba1\u7269\u7406\u91cc\u7684\u65b9\u6cd5\u3002<\/p>\n

\u7ed3\u679c\uff0c\u6bcf\u4e00\u79cd\u90fd\u80fd\u7ed9\u51fa\u6f02\u4eae\u7684\u5206\u6790\uff0c\u4f46\u6ca1\u6709\u4e00\u79cd\u88ab\u8bc1\u660e\u80fd\u7cbe\u786e\u5339\u914d2logN\u8fd9\u6761\u9608\u503c\u3002<\/p>\n

2020\u5e74\uff0c\u4e00\u79cd\u628a\u79bb\u6563\u95ee\u9898\u653e\u5bbd\u6210\u8fde\u7eed\u4f18\u5316\u95ee\u9898\u6765\u89e3\u7684\u65b9\u6cd5\uff0c\u53ebbox relaxation\uff0c\u62ff\u5230\u4e86\u5f53\u65f6\u6700\u597d\u7684\u4e25\u683c\u8bc1\u660e\u7ed3\u679c\uff0c\u80fd\u5728\u4fe1\u566a\u6bd4\u8fbe\u52304logN\u65f6\u505a\u5230\u7cbe\u786e\u6062\u590d\uff0c\u4f46\u590d\u6742\u5ea6\u4f9d\u7136\u662f\u7406\u8bba\u95e8\u69db\u7684\u4e24\u500d\u3002<\/p>\n

25\u5e74\u8fc7\u53bb\uff0c\u7edf\u8ba1\u4e0a\u300c\u80fd\u6062\u590d\u300d\u548c\u7528\u5feb\u7b97\u6cd5\u300c\u80fd\u6062\u590d\u300d\u4e4b\u95f4\uff0c\u4e00\u76f4\u9694\u7740\u8fd9\u6761\u9e3f\u6c9f\u3002<\/p>\n

\u4e0a\u5468\uff0c\u8fd9\u6761\u9e3f\u6c9f\u88ab\u586b\u5e73\u4e86\u3002<\/p>\n

Dimitris Papailiopoulos\u548cGPT-5.6\u3001Claude Fable 5\u8bc1\u660e\uff0c\u4e00\u4e2a\u53ea\u6709\u4e24\u6b65\u7684\u7b80\u5355\u7b97\u6cd5\uff0c\u540c\u6837\u80fd\u5728\u4fe1\u566a\u6bd4\u7b49\u4e8e2logN\u65f6\u7cbe\u786e\u6062\u590d\u5168\u90e8\u6bd4\u7279\uff0c\u800c\u4e14\u662f\u591a\u9879\u5f0f\u65f6\u95f4\uff0c\u53ea\u9700\u8981O(N\u00b3)\u6b21\u8fd0\u7b97\u3002<\/p>\n

\u800c\u4e14\u8fd9\u7bc7\u8bba\u6587\u8bc1\u660e\u7684\u662f\u4e00\u4e2a\u53cc\u5411\u7ed3\u679c\u3002<\/p>\n

\u4e00\u5934\u8bc1\u660e\u4e86\u8fd9\u4e2a\u7b97\u6cd5\u80fd\u5728\u4fe1\u566a\u6bd4\u7b49\u4e8e2logN\u65f6\uff0c\u4fe1\u53f7\u80fd\u88ab\u7cbe\u786e\u6062\u590d\uff1b\u53e6\u4e00\u5934\u5219\u8fdb\u4e00\u6b65\u8bc1\u660e\uff0c\u4fe1\u566a\u6bd4\u53ea\u8981\u7565\u4f4e\u4e8e2logN\u8fd9\u4e2a\u6700\u5927\u4f3c\u7136\u9608\u503c\uff0c\u8fde\u300c\u7b28\u529e\u6cd5\u300d\u6700\u5927\u4f3c\u7136\u68c0\u6d4b\u4e5f\u4f1a\u5f00\u59cb\u5931\u8d25\u3002<\/p>\n

Dimitris\u627eGPT-5.6\u548cFable 5\u6765\u8bd5\u8fd9\u9053\u9898\uff0c\u4e24\u4e2a\u6a21\u578b\u5f88\u5feb\u5206\u522b\u7ed9\u51fa\u4e86\u81ea\u5df1\u7684\u8bc1\u660e\u601d\u8def\uff0c\u4f46\u63a5\u4e0b\u6765\u7684\u6253\u78e8\u8fc7\u7a0b\u4e00\u6ce2\u4e09\u6298\u3002<\/p>\n

GPT-5.6\u7684\u8def\u5f84\u7528\u4e86\u4e00\u79cd\u53ebAMP\u7684\u7b97\u6cd5\uff0c\u8fd9\u662fDimitris\u4e00\u76f4\u6ca1\u80fd\u5403\u900f\u5206\u6790\u65b9\u6cd5\u7684\u4e00\u7c7b\u5de5\u5177\u3002<\/p>\n

Fable 5\u7ed9\u51fa\u7684\u8def\u5f84\u4e0d\u540c\uff0c\u7528\u7684\u662f\u300c\u7b26\u53f7LMMSE\uff0c\u52a0\u8d2a\u5fc3\u9010\u4f4d\u7ffb\u8f6c\u300d\uff0c\u4e00\u4e2a\u4e1a\u5185\u5b9e\u9645\u5728\u7528\u3001\u5374\u4ece\u6ca1\u88ab\u4e25\u683c\u8bc1\u660e\u8fc7\u7684\u8001\u7b97\u6cd5\u3002<\/p>\n

\u4e24\u6761\u8def\u5f84\u90fd\u5404\u81ea\u7ed9\u51fa\u4e86\u5b8c\u6574\u7684\u8bc1\u660e\uff0c\u58f0\u79f0\u80fd\u5728\u4fe1\u566a\u6bd42logN\u7cbe\u786e\u6062\u590d\u3002<\/p>\n

Dimitris\u6700\u7ec8\u9009\u62e9\u4e86Fable\u7ed9\u51fa\u7684\u8fd9\u6761\u8def\uff0c\u8ba9GPT\u63a5\u624b\u68c0\u67e5\u548c\u4fee\u8865\u91cc\u9762\u7684\u6f0f\u6d1e\u3002<\/p>\n

GPT\u628a\u6f0f\u6d1e\u4fee\u597d\u4e86\uff0c\u4f46\u4fee\u597d\u4e4b\u540e\u7684\u8bc1\u660e\u662f\u4e00\u5835\u300c\u7b26\u53f7\u5899\u300d\uff0c\u53d8\u91cf\u6307\u7740\u53d8\u91cf\uff0c\u88ab\u6307\u7740\u7684\u53d8\u91cf\u53c8\u6307\u7740\u66f4\u591a\u53d8\u91cf\uff0c\u800c\u4e14\u585e\u6ee1Dimitris\u770b\u4e0d\u61c2\u7684\u77e9\u9635\u5206\u6790\u5de5\u5177\u3002<\/p>\n

\u63a5\u4e0b\u6765\u7684\u51e0\u5929\uff0c\u4ed6\u53cd\u590d\u8ba9\u4e24\u4e2a\u6a21\u578b\u4e92\u76f8\u7b80\u5316\u5bf9\u65b9\u7ed9\u51fa\u7684\u8bba\u8bc1\uff0c\u552f\u4e00\u7684\u5e95\u7ebf\u662f\uff0c\u4e0d\u7ba1\u600e\u4e48\u7b80\u5316\uff0c\u6700\u540e\u90fd\u8981\u4fdd\u4f4f2logN\u8fd9\u4e2a\u95e8\u69db\u3002<\/p>\n

\u9664\u6b64\u4e4b\u5916\uff0c\u53ea\u8981\u4ed6\u81ea\u5df1\u80fd\u770b\u61c2\uff0c\u600e\u4e48\u6539\u90fd\u884c\u3002<\/p>\n

\u4ed6\u8fd8\u62d2\u7edd\u4e86\u7528Lean\u505a\u5f62\u5f0f\u5316\u9a8c\u8bc1\uff0c\u539f\u56e0\u4e5f\u5f88\u6293\u9a6c\uff0c\u56e0\u4e3a\u2026\u2026\u4ed6\u4e0d\u61c2\u3002<\/p>\n

Lean\u662f\u4e00\u79cd\u80fd\u8ba9\u8ba1\u7b97\u673a\u81ea\u52a8\u68c0\u67e5\u6570\u5b66\u8bc1\u660e\u662f\u5426\u6210\u7acb\u7684\u5de5\u5177\uff0c\u4f46\u8981\u7528\u5b83\uff0c\u5f97\u5148\u628a\u8bc1\u660e\u7ffb\u8bd1\u6210Lean\u80fd\u8bfb\u61c2\u7684\u5f62\u5f0f\u8bed\u8a00\u3002<\/p>\n

\u8fd9\u9053\u7ffb\u8bd1\u5de5\u4f5c\u672c\u8eab\u4e5f\u53ef\u80fd\u51fa\u9519\uff0c\u800cDimitris\u4e0d\u61c2Lean\uff0c\u4e5f\u5c31\u6ca1\u6cd5\u68c0\u67e5\u7ffb\u8bd1\u5bf9\u4e0d\u5bf9\u3002<\/p>\n

\u603b\u4e4b\u6298\u817e\u4e86\u4e00\u5468\u540e\uff0c\u4ed6\u7ec8\u4e8e\u62ff\u5230\u4e86\u4e00\u4efd\u53ef\u4ee5\u9010\u884c\u624b\u7b97\u6838\u5bf9\u7684\u8bc1\u660e\u3002<\/p>\n

\u62c6\u5f00\u770b\uff0c\u8fd9\u4e2a\u7b97\u6cd5\u53ea\u6709\u4e24\u4e2a\u6838\u5fc3\u6b65\u9aa4\u3002<\/p>\n

\u7b2c\u4e00\u6b65\uff0c\u53ebLMMSE\u53d6\u6574\u3002<\/p>\n

LMMSE\uff08linear minimum mean square error\uff0c\u7ebf\u6027\u6700\u5c0f\u5747\u65b9\u8bef\u5dee\u4f30\u8ba1\uff09\u662f\u4fe1\u53f7\u5904\u7406\u91cc\u7684\u4e00\u79cd\u6807\u51c6\u4f30\u8ba1\u65b9\u6cd5\uff0c\u5148\u7ed9\u51fa\u4e00\u4e2a\u4e0d\u662f\u6574\u6570\u3001\u8fde\u7eed\u53d6\u503c\u7684\u7c97\u7565\u731c\u6d4b\uff0c\u518d\u628a\u6bcf\u4e2a\u5750\u6807\u6309\u6b63\u8d1f\u53f7\u53d6\u6574\u6210+1\u6216-1\u3002<\/p>\n

\u8fd9\u4e00\u6b65\u4e0d\u9700\u8981\u7cbe\u786e\u731c\u4e2d\u6bcf\u4e00\u4e2a\u6bd4\u7279\uff0c\u8bba\u6587\u8bc1\u660e\u7684\u662f\uff0c\u53d6\u6574\u540e\u7684\u7ed3\u679c\u548c\u771f\u5b9e\u53d1\u9001\u7684\u6bd4\u7279\u4e4b\u95f4\uff0c\u6c49\u660e\u8ddd\u79bb\uff08\u4e24\u4e2a\u7b49\u957f\u6bd4\u7279\u4e32\u4e4b\u95f4\u4e0d\u540c\u7684\u4f4d\u6570\uff09\u53ea\u6709o(N)\u3002<\/p>\n

\u4e5f\u5c31\u662f\u8bf4\uff0c\u968f\u7740N\u53d8\u5927\uff0c\u731c\u9519\u7684\u6bd4\u7279\u6570\u5360\u603b\u6570\u7684\u6bd4\u4f8b\u4f1a\u8d8b\u8fd1\u4e8e\u96f6\u3002<\/p>\n

\u7b2c\u4e8c\u6b65\uff0c\u53eb\u8d2a\u5fc3\u9010\u4f4d\u7ffb\u8f6c\u3002<\/p>\n

\u8fd9\u6b65\u4ece\u7b2c\u4e00\u6b65\u7ed9\u51fa\u7684\u731c\u6d4b\u5f00\u59cb\uff0c\u6bcf\u4e00\u8f6e\u68c0\u67e5\u6240\u6709N\u4e2a\u6bd4\u7279\uff0c\u627e\u51fa\u7ffb\u8f6c\u54ea\u4e00\u4f4d\u80fd\u8ba9\u4ee3\u4ef7\u51fd\u6570\uff08\u8861\u91cf\u5f53\u524d\u731c\u6d4b\u548c\u63a5\u6536\u4fe1\u53f7\u5339\u914d\u7a0b\u5ea6\u7684\u4e00\u4e2a\u6570\u503c\uff0c\u8d8a\u5c0f\u8d8a\u5339\u914d\uff09\u4e0b\u964d\u5f97\u6700\u591a\uff0c\u5c31\u7ffb\u8f6c\u90a3\u4e00\u4f4d\uff0c\u7136\u540e\u91cd\u590d\u8fd9\u4e2a\u8fc7\u7a0b\u3002<\/p>\n

\u95ee\u9898\u662f\uff0c\u8fd9\u6837\u7684\u8d2a\u5fc3\u641c\u7d22\u51ed\u4ec0\u4e48\u80fd\u627e\u5230\u6b63\u786e\u7b54\u6848\uff0c\u800c\u4e0d\u662f\u5728\u4e2d\u9014\u5361\u5728\u4e00\u4e2a\u9519\u8bef\u7684\u5730\u65b9\u4e0d\u52a8\uff1f<\/p>\n

\u4e3a\u4e86\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u8bba\u6587\u8bc1\u660e\u4e86\u4e24\u4ef6\u4e8b\u3002<\/p>\n

\u7b2c\u4e00\uff0c\u5728\u731c\u6d4b\u8d77\u70b9\u5468\u56f4\u7684\u4e00\u4e2a\u8303\u56f4\u5185\uff0c\u6bcf\u4e00\u4e2a\u8fd8\u6ca1\u731c\u5bf9\u7684\u70b9\uff0c\u90fd\u81f3\u5c11\u5b58\u5728\u4e00\u4f4d\u7ffb\u8f6c\u80fd\u8ba9\u4ee3\u4ef7\u51fd\u6570\u4e25\u683c\u4e0b\u964d\uff0c\u800c\u4e14\u4e0b\u964d\u7684\u5e45\u5ea6\u6709\u4e00\u4e2a\u4e0d\u8d8b\u4e8e\u96f6\u7684\u4e0b\u9650\uff0c\u4e0d\u4f1a\u968f\u7740N\u53d8\u5927\u800c\u6d88\u5931\u3002<\/p>\n

\u8fd9\u610f\u5473\u7740\u8d2a\u5fc3\u641c\u7d22\u4e0d\u4f1a\u5361\u6b7b\u4e0d\u52a8\uff0c\u6c38\u8fdc\u80fd\u627e\u5230\u7ee7\u7eed\u5f80\u4e0b\u8d70\u7684\u4e00\u6b65\u3002<\/p>\n

\u7b2c\u4e8c\uff0c\u4ee3\u4ef7\u51fd\u6570\u672c\u8eab\u4f1a\u968f\u7740\u6c49\u660e\u8ddd\u79bb\uff08\u4e5f\u5c31\u662f\u731c\u9519\u7684\u6bd4\u7279\u6570\uff09\u589e\u5927\u800c\u589e\u5927\u3002<\/p>\n

\u8fd9\u5f62\u6210\u4e00\u9053\u5929\u7136\u7684\u62a4\u680f\u2014\u2014\u641c\u7d22\u8def\u5f84\u5c31\u7b97\u4e2d\u9014\u67d0\u4e00\u6b65\u731c\u9519\u7684\u6bd4\u7279\u6570\u91cf\u6682\u65f6\u53d8\u591a\uff0c\u4ee3\u4ef7\u51fd\u6570\u4e5f\u56de\u4e0d\u5230\u8d77\u70b9\uff0c\u6ca1\u6cd5\u7ffb\u8d8a\u8fd9\u9053\u62a4\u680f\u8dd1\u5230\u731c\u6d4b\u8303\u56f4\u4e4b\u5916\u3002<\/p>\n

\u628a\u8fd9\u4e24\u4ef6\u4e8b\u653e\u5728\u4e00\u8d77\u770b\uff0c\u6bcf\u4e00\u6b65\u81f3\u5c11\u80fd\u964d\u4f4e\u591a\u5c11\u4ee3\u4ef7\uff0c\u9664\u4ee5\u8d77\u70b9\u8ddd\u79bb\u6700\u4f18\u89e3\u603b\u5171\u5dee\u591a\u5c11\u4ee3\u4ef7\uff0c\u5c31\u5f97\u5230\u8d2a\u5fc3\u641c\u7d22\u7684\u7b97\u6cd5\u590d\u6742\u5ea6\uff0c\u8bba\u6587\u7b97\u51fa\u6765\u7684\u7b54\u6848\u662fO(NlogN)\u6b65\u3002<\/p>\n

\u8d2a\u5fc3\u641c\u7d22\u6709\u4e00\u6761\u505c\u6b62\u89c4\u5219\uff0c\u90a3\u5c31\u662f\u627e\u4e0d\u5230\u4efb\u4f55\u80fd\u8ba9\u4ee3\u4ef7\u4e0b\u964d\u7684\u7ffb\u8f6c\u65f6\uff0c\u5c31\u505c\u4e0b\u6765\u3002<\/p>\n

\u524d\u9762\u5df2\u7ecf\u8bc1\u660e\uff0c\u62a4\u680f\u5185\u6bcf\u4e00\u4e2a\u731c\u9519\u7684\u70b9\uff0c\u90fd\u8fd8\u6709\u81f3\u5c11\u4e00\u4f4d\u7ffb\u8f6c\u80fd\u8ba9\u4ee3\u4ef7\u4e0b\u964d\u3002<\/p>\n

\u4e5f\u5c31\u662f\u8bf4\uff0c\u53ea\u8981\u8fd8\u6ca1\u731c\u5bf9\uff0c\u7b97\u6cd5\u5c31\u4e00\u5b9a\u80fd\u627e\u5230\u4e0b\u4e00\u6b65\u8be5\u7ffb\u54ea\u4e00\u4f4d\uff0c\u4e0d\u4f1a\u505c\u3002<\/p>\n

\u7b49\u771f\u7684\u731c\u5bf9\u4e86\uff0c\u4efb\u4f55\u4e00\u6b21\u7ffb\u8f6c\u90fd\u53ea\u4f1a\u8ba9\u4ee3\u4ef7\u53d8\u5f97\u66f4\u5dee\uff0c\u8fd9\u65f6\u5019\u624d\u6ca1\u6709\u80fd\u6539\u8fdb\u7684\u7ffb\u8f6c\u53ef\u9009\uff0c\u7b97\u6cd5\u8fd9\u624d\u4f1a\u505c\u4e0b\u6765\u3002<\/p>\n

\u8d2a\u5fc3\u641c\u7d22\u552f\u4e00\u80fd\u505c\u4e0b\u7684\u5730\u65b9\uff0c\u5c31\u662f\u771f\u5b9e\u53d1\u9001\u7684\u90a3\u4e2a\u6bd4\u7279\u4e32\u3002<\/p>\n

\u7b97\u6cd5\u6700\u7ec8\u53ea\u4f1a\u505c\u5728\u771f\u5b9e\u53d1\u9001\u7684\u6bd4\u7279\u4e32\u4e0a\uff0c\u8bc1\u660e\u4e5f\u5c31\u5b8c\u6210\u4e86\u3002Dimitris\u8868\u793a\uff0c\u8fd9\u4e00\u6574\u5957\u8bba\u8bc1\u8fc7\u7a0b\uff0c\u81ea\u5df1\u5df2\u7ecf\u4ece\u5934\u5230\u5c3e\u9a8c\u8bc1\u8fc7\u4e00\u904d\u3002<\/p>\n

Dimitris Papailiopoulos\uff0c\u73b0\u5728\u662f\u5fae\u8f6f\u7814\u7a76\u9662\u7684\u9996\u5e2d\u7814\u7a76\u5458\uff0c\u540c\u65f6\u662f\u5a01\u65af\u5eb7\u661f\u5927\u5b66\u9ea6\u8fea\u900a\u5206\u6821\u7535\u5b50\u4e0e\u8ba1\u7b97\u673a\u5de5\u7a0b\u7cfb\u7684\u526f\u6559\u6388\u3002<\/p>\n

\u4ed6\u65e9\u5e74\u7684\u7814\u7a76\u65b9\u5411\u662f\u4fe1\u606f\u8bba\u548c\u7f16\u7801\u7406\u8bba\u3002<\/p>\n

2009\u5e74\uff0c\u4ed6\u8fd8\u662f\u535a\u58eb\u4e00\u5e74\u7ea7\u5b66\u751f\uff0c\u5199\u4e0b\u4e86\u7b2c\u4e00\u7bc7\u8bba\u6587\uff0c\u5e76\u4e8e\u6b21\u5e74\u53d1\u8868\uff0c\u5408\u4f5c\u8005\u662f\u5bfc\u5e08Alex Dimakis\u3002<\/p>\n

\u90a3\u7bc7\u8bba\u6587\u7528\u4e00\u79cd\u53ebMCMC\uff08\u9a6c\u5c14\u53ef\u592b\u94fe\u8499\u7279\u5361\u6d1b\uff0c\u4e00\u79cd\u9760\u968f\u673a\u91c7\u6837\u903c\u8fd1\u7b54\u6848\u7684\u8ba1\u7b97\u65b9\u6cd5\uff09\u7684\u65b9\u6cd5\uff0c\u5c1d\u8bd5\u89e3\u51b3MIMO\u68c0\u6d4b\u8fd9\u9053\u9898\uff0c\u4f46\u6ca1\u6709\u6210\u529f\u3002<\/p>\n

\u8fd9\u6b21\u88abGPT-5.6\u548cFable 5\u8bc1\u660e\u62ff\u4e0b\u7684\uff0c\u6b63\u662f\u540c\u4e00\u9053\u9898\u300217\u5e74\u524d\u90a3\u9053\u8ba9\u4ed6\u5361\u4f4f\u7684\u9898\uff0c\u8fd9\u6b21\u88ab\u4ed6\u81ea\u5df1\u89e3\u5f00\u4e86\u3002<\/p>\n

\u53c2\u8003\u94fe\u63a5\uff1ahttps:\/\/x.com\/DimitrisPapail\/status\/2086159964234482144<\/p>\n

\n

\u7248\u6743\u58f0\u660e\uff1a<\/strong><\/p>\n

\u672c\u535a\u5ba2\u90e8\u5206\u5185\u5bb9\u4e3a\u8f6c\u8f7d\u6587\u7ae0\uff0c\u65e8\u5728\u5206\u4eab\u6709\u4ef7\u503c\u7684\u4fe1\u606f\uff0c\u7248\u6743\u5f52\u539f\u4f5c\u8005\u6240\u6709\u3002<\/p>\n

\u8f6c\u8f7d\u4ec5\u4e3a\u4e2a\u4eba\u5b66\u4e60\u4e0e\u4ea4\u6d41\u76ee\u7684\uff0c\u4e0d\u5bf9\u6587\u7ae0\u89c2\u70b9\u8d1f\u8d23\uff0c\u4ea6\u4e0d\u7528\u4e8e\u4efb\u4f55\u5546\u4e1a\u7528\u9014\u3002<\/p>\n

\u5982\u6d89\u53ca\u7248\u6743\u95ee\u9898\uff0c\u8bf7\u8054\u7cfb\u672c\u4eba\u5220\u9664\u3002<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"

\u4f5c\u8005\u8bfb\u535a\u65f6\u5c31\u5728\u7814\u7a76\uff0c17\u5e74\u540e\u88abAI\u89e3\u5f00\u4e86<\/p>\n

GPT-5.6\u548cFable 5\u8054\u624b\uff0c\u89e3\u51b3\u4e86\u4e00\u9053\u60ac\u7f6e25\u5e74\u7684\u6570\u5b66\u96be\u9898\u3002<\/p>\n

\u5fae\u8f6f\u7814\u7a76\u9662\u9996\u5e2d\u7814\u7a76\u5458Dimitris Papailiopoulos\uff0c\u8bc1\u660e\u4e86\u4e00\u4e2a\u591a\u9879\u5f0f\u65f6\u95f4\u7b97\u6cd5\uff0c\u80fd\u8ba9MIMO\u68c0\u6d4b\u7cbe\u786e\u547d\u4e2d\u6700\u5927\u4f3c\u7136\u9608\u503c\u3002<\/p>\n

\u4f5c\u8005\u8868\u793a\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u82b1\u4e86\u4ed6\u6574\u6574\u4e03\u5929\u3002<\/p>\n

MIMO\u68c0\u6d4b\u662f\u65e0\u7ebf\u901a\u4fe1\u9886\u57df\u7684\u4e00\u4e2a\u7ecf\u5178\u95ee\u9898\uff0c\u9700\u8981\u63a5\u6536\u7aef\u4ece\u88ab\u566a\u58f0\u6405\u4e71\u7684\u4fe1\u53f7\u4e2d\uff0c\u628a\u53d1\u9001\u7aef\u539f\u672c\u53d1\u51fa\u7684\u4fe1\u606f\u5b8c\u6574\u8fd8\u539f\u3002<\/p>\n","protected":false},"author":1,"featured_media":6944,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[99],"class_list":["post-6948","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-xwzx","tag-99"],"_links":{"self":[{"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/posts\/6948","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/comments?post=6948"}],"version-history":[{"count":0,"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/posts\/6948\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/media\/6944"}],"wp:attachment":[{"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/media?parent=6948"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/categories?post=6948"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/1ow.top\/index.php\/wp-json\/wp\/v2\/tags?post=6948"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}