{"id":4419,"date":"2024-08-24T14:59:15","date_gmt":"2024-08-24T06:59:15","guid":{"rendered":"https:\/\/nullthought.net\/?p=4419"},"modified":"2024-08-24T14:59:16","modified_gmt":"2024-08-24T06:59:16","slug":"%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e4%b8%ad%e5%88%b0%e5%ba%95%e5%8f%91%e7%94%9f%e4%ba%86%e4%bb%80%e4%b9%88%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=4419","title":{"rendered":"\u673a\u5668\u5b66\u4e60\u4e2d\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f"},"content":{"rendered":"\n<p>\u6570\u5b66\u5927\u795eStephen Wolfram\u65b0\u8fd1\u53d1\u8868\u6587\u7ae0<strong><em><a href=\"https:\/\/writings.stephenwolfram.com\/2024\/08\/whats-really-going-on-in-machine-learning-some-minimal-models\/\" target=\"_blank\" rel=\"noreferrer noopener\">What\u2019s Really Going On in Machine Learning? Some Minimal Models<\/a><\/em><\/strong>\uff08\u300a\u673a\u5668\u5b66\u4e60\u4e2d\u5230\u5e95\u53d1\u751f\u4e86\u4ec0\u4e48\uff1f\u4e00\u4e9b\u6700\u7b80\u6a21\u578b\u300b\uff09\u3002\u6587\u7ae0\u901a\u8fc7\u7b80\u5316\u6a21\u578b\uff0c\u5bf9\u673a\u5668\u5b66\u4e60\u7684\u57fa\u7840\u539f\u7406\u8fdb\u884c\u4e86\u91cd\u8981\u7684\u7406\u8bba\u63a2\u8ba8\u3002Wolfram\u7684\u89c2\u70b9\u6311\u6218\u4e86\u4f20\u7edf\u89c2\u5ff5\uff0c\u63d0\u51fa\u673a\u5668\u5b66\u4e60\u7684\u529b\u91cf\u5e76\u975e\u6765\u81ea\u5176\u673a\u5236\u7684\u590d\u6742\u6027\uff0c\u800c\u662f\u6e90\u4e8e\u5176\u6240\u5229\u7528\u7684\u7cfb\u7edf\u7684\u8ba1\u7b97\u4e30\u5bcc\u6027\u3002\u8fd9\u4e9b\u89c2\u70b9\u53ef\u80fd\u4f1a\u6fc0\u53d1\u8be5\u9886\u57df\u7406\u8bba\u7814\u7a76\u548c\u5b9e\u9645\u5e94\u7528\u7684\u65b0\u65b9\u5411\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">1. \u673a\u5668\u5b66\u4e60\u7684\u8c1c\u56e2<\/h5>\n\n\n\n<p>Wolfram\u9996\u5148\u6307\u51fa\uff0c\u5c3d\u7ba1\u5728\u795e\u7ecf\u7f51\u7edc\u7684\u5de5\u7a0b\u6280\u672f\u65b9\u9762\u5df2\u7ecf\u53d6\u5f97\u4e86\u5f88\u5927\u8fdb\u5c55\uff0c\u4f46\u6211\u4eec\u4ecd\u7136\u5bf9\u5176\u57fa\u672c\u673a\u5236\u77e5\u4e4b\u751a\u5c11\u3002\u6838\u5fc3\u95ee\u9898\u5728\u4e8e\uff0c\u5c3d\u7ba1\u795e\u7ecf\u7f51\u7edc\u53d6\u5f97\u4e86\u6210\u529f\uff0c\u4f46\u5176\u5185\u90e8\u5de5\u4f5c\u539f\u7406\u4ecd\u7136\u57fa\u672c\u4e0a\u662f\u4e00\u4e2a\u201c\u9ed1\u7bb1\u201d\uff0c\u6211\u4eec\u4e0d\u6e05\u695a\u54ea\u4e9b\u5177\u4f53\u7684\u65b9\u9762\u662f\u5fc5\u4e0d\u53ef\u5c11\u7684\uff0c\u54ea\u4e9b\u53ea\u662f\u5386\u53f2\u53d1\u5c55\u8fc7\u7a0b\u4e2d\u9057\u7559\u4e0b\u6765\u7684\u7ec6\u8282\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">2. \u8ba1\u7b97\u4e0d\u53ef\u7ea6\u6027<\/h5>\n\n\n\n<p>Wolfram\u518d\u6b21\u63d0\u5230\u7684\u6838\u5fc3\u4e3b\u9898\u662f<strong><a href=\"https:\/\/www.wolframscience.com\/nks\/p737--computational-irreducibility\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8ba1\u7b97\u4e0d\u53ef\u7ea6\u6027<\/a><\/strong>\uff0c\u8fd9\u4e00\u6982\u5ff5\u8868\u660e\u67d0\u4e9b\u8fc7\u7a0b\u65e0\u6cd5\u7b80\u5316\u6216\u9884\u6d4b\uff0c\u9664\u975e\u5b9e\u9645\u8fdb\u884c\u8ba1\u7b97\u3002Wolfram\u8ba4\u4e3a\uff0c\u673a\u5668\u5b66\u4e60\u901a\u8fc7\u5229\u7528\u8ba1\u7b97\u5b87\u5b99\u4e2d\u7684\u56fa\u6709\u590d\u6742\u6027\u6765\u5de5\u4f5c\uff0c\u627e\u5230\u770b\u4f3c\u53ef\u884c\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u800c\u4e0d\u4e00\u5b9a\u6784\u5efa\u7ed3\u6784\u5316\u7684\u673a\u5236\u3002<\/p>\n\n\n\n<p>Wolfram\u8ba4\u4e3a\uff0c<a href=\"https:\/\/www.linkedin.com\/posts\/stephenwolfram_whats-really-going-on-in-machine-learning-activity-7232457828085497856-oOht\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u4f3c\u4e4e\u673a\u5668\u5b66\u4e60\u57fa\u672c\u4e0a\u662f\u5728\u62fc\u51d1\u8ba1\u7b97\u4e0d\u53ef\u7ea6\u6027\u7684\u201c\u5757\u201d\uff08Seems like ML is basically about fitting together lumps of computational irreducibility &#8230;\u00a0\uff09<\/a>\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">3. \u6700\u7b80\u6a21\u578b<\/h5>\n\n\n\n<p>Wolfram\u63d0\u51fa\u4e86\u5c06\u673a\u5668\u5b66\u4e60\u6a21\u578b\u7b80\u5316\u5230\u6700\u5c0f\u5f62\u5f0f\u7684\u60f3\u6cd5\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u53ef\u89c6\u5316\u548c\u7406\u89e3\u5176\u5185\u90e8\u53d1\u751f\u7684\u4e8b\u60c5\u3002\u4ed6\u63a2\u8ba8\u4e86\u8fd9\u4e9b\u6700\u7b80\u6a21\u578b\u662f\u5426\u80fd\u591f\u91cd\u73b0\u66f4\u590d\u6742\u7cfb\u7edf\u4e2d\u6240\u89c1\u7684\u884c\u4e3a\u3002\u4ee4\u4eba\u60ca\u8bb6\u7684\u662f\uff0c\u8fd9\u4e9b\u66f4\u7b80\u5355\u7684\u6a21\u578b\u901a\u5e38\u53ef\u4ee5\u590d\u5236\u6240\u9700\u7684\u7ed3\u679c\uff0c\u4ece\u800c\u63d0\u4f9b\u4e86\u5bf9\u673a\u5668\u5b66\u4e60\u80cc\u540e\u57fa\u672c\u73b0\u8c61\u7684\u6df1\u5165\u7406\u89e3\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">4. \u4e0e\u751f\u7269\u8fdb\u5316\u7684\u7c7b\u6bd4<\/h5>\n\n\n\n<p>\u673a\u5668\u5b66\u4e60\u6a21\u578b\u7684\u8bad\u7ec3\u8fc7\u7a0b\u88ab\u6bd4\u4f5c\u751f\u7269\u8fdb\u5316\u8fc7\u7a0b\uff0c\u5176\u4e2d\u7cfb\u7edf\u901a\u8fc7\u81ea\u9002\u5e94\u4f18\u5316\u81ea\u8eab\u3002\u5c31\u50cf\u5728\u751f\u7269\u8fdb\u5316\u4e2d\u4e00\u6837\uff0c\u673a\u5668\u5b66\u4e60\u4f9d\u8d56\u4e8e\u968f\u673a\u6027\u548c\u9002\u5e94\u6027\u6765\u201c\u9501\u5b9a\u201d\u6709\u6548\u7684\u89e3\u51b3\u65b9\u6848\u3002\u8fd9\u79cd\u6bd4\u8f83\u5f3a\u8c03\u4e86\u8fd9\u4e24\u79cd\u8fc7\u7a0b\u7684\u968f\u673a\u6027\u7279\u5f81\uff0c\u4ee5\u53ca\u8ba1\u7b97\u4e0d\u53ef\u7ea6\u6027\u5728\u9632\u6b62\u7cfb\u7edf\u9677\u5165\u975e\u6700\u4f73\u914d\u7f6e\u4e2d\u7684\u4f5c\u7528\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">5. \u7f51\u683c\u795e\u7ecf\u7f51\u7edc<\/h5>\n\n\n\n<p>Wolfram\u901a\u8fc7\u63d0\u51fa\u7f51\u683c\u795e\u7ecf\u7f51\u7edc\u6765\u7b80\u5316\u4f20\u7edf\u7684\u5168\u8fde\u63a5\u795e\u7ecf\u7f51\u7edc\uff0c\u5176\u4e2d\u6bcf\u4e2a\u795e\u7ecf\u5143\u4ec5\u4e0e\u6709\u9650\u6570\u91cf\u7684\u5176\u4ed6\u795e\u7ecf\u5143\u76f8\u8fde\uff0c\u5f62\u6210\u4e00\u4e2a\u7f51\u683c\u3002\u5c3d\u7ba1\u8fde\u63a5\u6027\u964d\u4f4e\uff0c\u8fd9\u4e9b\u7f51\u7edc\u4ecd\u7136\u80fd\u591f\u6267\u884c\u590d\u6742\u7684\u4efb\u52a1\uff0c\u8fd9\u8868\u660e\u4f20\u7edf\u7f51\u7edc\u4e2d\u7684\u590d\u6742\u7ed3\u6784\u5728\u67d0\u4e9b\u529f\u80fd\u4e2d\u53ef\u80fd\u5e76\u4e0d\u662f\u5fc5\u8981\u7684\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">6. \u79bb\u6563\u7cfb\u7edf\u4e0e\u5143\u80de\u81ea\u52a8\u673a<\/h5>\n\n\n\n<p>\u53ef\u5c06\u673a\u5668\u5b66\u4e60\u7684\u63a2\u7d22\u6269\u5c55\u5230\u5b8c\u5168\u79bb\u6563\u7684\u7cfb\u7edf\uff0c\u5982\u5143\u80de\u81ea\u52a8\u673a\uff0c\u8fd9\u4e9b\u662f\u5177\u6709\u4e8c\u5143\u72b6\u6001\u7684\u7b80\u5316\u8ba1\u7b97\u6a21\u578b\u3002Wolfram\u5c55\u793a\u4e86\u5373\u4f7f\u662f\u8fd9\u4e9b\u7b80\u5355\u7684\u7cfb\u7edf\u4e5f\u53ef\u4ee5\u8868\u73b0\u51fa\u4e0e\u4f20\u7edf\u795e\u7ecf\u7f51\u7edc\u7c7b\u4f3c\u7684\u590d\u6742\u884c\u4e3a\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">7. \u89c4\u5219\u6570\u7ec4\u548c\u79bb\u6563\u89c4\u5219\u7cfb\u7edf<\/h5>\n\n\n\n<p>Wolfram\u5728\u6587\u4e2d\u63a2\u8ba8\u4e86\u89c4\u5219\u6570\u7ec4\u7684\u6982\u5ff5\uff0c\u5373\u5728\u8ba1\u7b97\u7a7a\u95f4\u7684\u6bcf\u4e2a\u4f4d\u7f6e\u5e94\u7528\u4e0d\u540c\u7684\u89c4\u5219\uff0c\u7c7b\u4f3c\u4e8e\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u4e0d\u540c\u6743\u91cd\u3002\u8fd9\u4e9b\u79bb\u6563\u89c4\u5219\u7cfb\u7edf\u88ab\u8bc1\u660e\u80fd\u591f\u6267\u884c\u673a\u5668\u5b66\u4e60\u4efb\u52a1\uff0c\u8fdb\u4e00\u6b65\u652f\u6301\u4e86\u590d\u6742\u884c\u4e3a\u53ef\u4ee5\u7531\u7b80\u5355\u89c4\u5219\u4ea7\u751f\u7684\u89c2\u70b9\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">8. \u81ea\u9002\u5e94\u8fdb\u5316\u4e0e\u591a\u8def\u5f84\u7a81\u53d8\u56fe<\/h5>\n\n\n\n<p>Wolfram\u8ba8\u8bba\u4e86\u79bb\u6563\u7cfb\u7edf\u4e2d\u7684\u81ea\u9002\u5e94\u8fdb\u5316\u8fc7\u7a0b\uff0c\u5f3a\u8c03\u4e86\u4e0d\u540c\u7684\u7a81\u53d8\u5982\u4f55\u5bfc\u81f4\u540c\u4e00\u95ee\u9898\u7684\u5404\u79cd\u89e3\u51b3\u65b9\u6848\u3002\u4ed6\u5f15\u5165\u4e86\u591a\u8def\u5f84\u7a81\u53d8\u56fe\u6765\u53ef\u89c6\u5316\u8fdb\u5316\u53ef\u80fd\u91c7\u53d6\u7684\u4e0d\u540c\u8def\u5f84\uff0c\u5c55\u793a\u4e86\u4e0d\u540c\u7b56\u7565\u5982\u4f55\u5bfc\u81f4\u76f8\u540c\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">9. \u4f18\u5316\u5b66\u4e60\u8fc7\u7a0b<\/h5>\n\n\n\n<p>\u6587\u7ae0\u6279\u5224\u4e86\u4f20\u7edf\u673a\u5668\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u5b58\u5728\u7684\u4f4e\u6548\u6027\uff0c\u4f8b\u5982\u968f\u673a\u7a81\u53d8\u7684\u6d6a\u8d39\u3002Wolfram\u5efa\u8bae\u4f7f\u7528\u66f4\u7cfb\u7edf\u7684\u65b9\u6cd5\uff0c\u5982\u6700\u901f\u4e0b\u964d\u6cd5\uff0c\u4ee5\u4f18\u5316\u5b66\u4e60\u8fc7\u7a0b\uff0c\u5c3d\u7ba1\u8fd9\u4e9b\u65b9\u6cd5\u4e5f\u5b58\u5728\u5c40\u9650\u6027\uff0c\u4f8b\u5982\u53ef\u80fd\u9677\u5165\u5c40\u90e8\u6700\u5c0f\u503c\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">10. \u79bb\u6563\u5bfc\u6570\u4e0e\u53cd\u5411\u4f20\u64ad<\/h5>\n\n\n\n<p>Wolfram\u5c06\u4f20\u7edf\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u8fde\u7eed\u5bfc\u6570\u4e0e\u89c4\u5219\u6570\u7ec4\u4e2d\u7684\u79bb\u6563\u5bfc\u6570\u8fdb\u884c\u4e86\u6bd4\u8f83\u3002\u4ed6\u63a2\u8ba8\u4e86\u5982\u4f55\u5c06\u53cd\u5411\u4f20\u64ad\u8fd9\u4e00\u795e\u7ecf\u7f51\u7edc\u4e2d\u5e38\u7528\u7684\u8ba1\u7b97\u68af\u5ea6\u7684\u65b9\u6cd5\u9002\u5e94\u4e8e\u79bb\u6563\u7cfb\u7edf\uff0c\u5c3d\u7ba1\u7531\u4e8e\u7cfb\u7edf\u7684\u79bb\u6563\u6027\u8d28\uff0c\u8fd9\u79cd\u9002\u5e94\u4f1a\u5e26\u6765\u4e00\u4e9b\u590d\u6742\u6027\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">11. \u901a\u7528\u8868\u793a\u4e0e\u51fd\u6570\u5b66\u4e60<\/h5>\n\n\n\n<p>\u6587\u7ae0\u63d0\u5230\u4e86\u4e0d\u540c\u6700\u7b80\u6a21\u578b\u53ef\u4ee5\u8868\u793a\u7684\u51fd\u6570\u7c7b\u578b\uff0c\u4ece\u79bb\u6563\u7cfb\u7edf\u4e2d\u7684\u5e03\u5c14\u51fd\u6570\u5230\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u5206\u6bb5\u7ebf\u6027\u51fd\u6570\u3002Wolfram\u5f3a\u8c03\uff0c\u5c3d\u7ba1\u6700\u7b80\u6a21\u578b\u901a\u5e38\u53ef\u4ee5\u5b66\u4e60\u8fd9\u4e9b\u51fd\u6570\uff0c\u4f46\u5f97\u5230\u7684\u89e3\u51b3\u65b9\u6848\u901a\u5e38\u662f\u590d\u6742\u4e14\u96be\u4ee5\u89e3\u91ca\u7684\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">12. \u53ef\u7f16\u7a0b\u89c4\u5219\u6570\u7ec4<\/h5>\n\n\n\n<p>Wolfram\u5f15\u5165\u4e86\u53ef\u7f16\u7a0b\u89c4\u5219\u6570\u7ec4\u7684\u6982\u5ff5\uff0c\u5176\u4e2d\u8f93\u5165\u6307\u5b9a\u8981\u8ba1\u7b97\u7684\u51fd\u6570\u3002\u8fd9\u79cd\u7075\u6d3b\u6027\u4f7f\u5f97\u76f8\u540c\u7684\u89c4\u5219\u6570\u7ec4\u53ef\u4ee5\u6839\u636e\u8f93\u5165\u8ba1\u7b97\u4e0d\u540c\u7684\u51fd\u6570\uff0c\u5c55\u793a\u4e86\u8fd9\u4e9b\u6700\u7b80\u6a21\u578b\u5728\u4e0d\u540c\u4efb\u52a1\u4e4b\u95f4\u63a8\u5e7f\u7684\u6f5c\u529b\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">13. \u603b\u7ed3<\/h5>\n\n\n\n<p>\u5728\u603b\u7ed3\u4e2d\uff0cWolfram\u8ba4\u4e3a\u673a\u5668\u5b66\u4e60\u7684\u6210\u529f\u5f52\u56e0\u4e8e\u8ba1\u7b97\u5b87\u5b99\u7684\u4e30\u5bcc\u6027\uff0c\u5176\u4e2d\u6b63\u786e\u7684\u914d\u7f6e\u201c\u6070\u5de7\u53ef\u884c\u201d\uff0c\u800c\u4e0d\u662f\u901a\u8fc7\u660e\u786e\u8bbe\u8ba1\u5b9e\u73b0\u7684\u3002\u4ed6\u63d0\u5021\u7ee7\u7eed\u63a2\u7d22\u6700\u7b80\u6a21\u578b\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u7406\u89e3\u548c\u53ef\u80fd\u6539\u8fdb\u673a\u5668\u5b66\u4e60\u7cfb\u7edf\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5b66\u5927\u795eStephen Wolfram\u65b0\u8fd1\u53d1\u8868\u6587\u7ae0What\u2019s Really Going On in Mach 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