{"id":730,"date":"2023-08-21T17:24:16","date_gmt":"2023-04-04T23:17:10","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/index.php\/2023\/11\/30\/%e5%9c%a8python%e4%b8%ad%e8%ae%a1%e7%ae%97%e5%90%91%e9%87%8f%e7%9a%84%e8%8c%83%e6%95%b0-%e8%ae%a1%e7%ae%97%e6%ad%a5%e9%aa%a4%e3%80%82\/"},"modified":"2025-08-03T05:24:08","modified_gmt":"2025-08-02T21:24:08","slug":"%e5%9c%a8python%e4%b8%ad%e8%ae%a1%e7%ae%97%e5%90%91%e9%87%8f%e7%9a%84%e8%8c%83%e6%95%b0-%e8%ae%a1%e7%ae%97%e6%ad%a5%e9%aa%a4%e3%80%82","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/%e5%9c%a8python%e4%b8%ad%e8%ae%a1%e7%ae%97%e5%90%91%e9%87%8f%e7%9a%84%e8%8c%83%e6%95%b0-%e8%ae%a1%e7%ae%97%e6%ad%a5%e9%aa%a4%e3%80%82\/","title":{"rendered":"Python\u5411\u91cf\u8303\u6570\u8ba1\u7b97\u5b8c\u5168\u6307\u5357\uff1a\u65b9\u6cd5\u3001\u5b9e\u4f8b\u4e0e\u6700\u4f73\u5b9e\u8df5"},"content":{"rendered":"<p>\u8fd9\u662f\u6587\u7ae0\u300a\u5728Python\u4e2d\u8ba1\u7b97\u5411\u91cf\u7684\u8303\u6570-\u8ba1\u7b97\u6b65\u9aa4\u300b\u7684\u7b2c1\u90e8\u5206\uff08\u51713\u90e8\u5206\uff09\u3002<\/p>\n<p>\u5411\u91cf\u7684\u8303\u6570\u662f\u6307\u5411\u91cf\u7684\u957f\u5ea6\u6216\u5927\u5c0f\u3002\u6709\u591a\u79cd\u8ba1\u7b97\u957f\u5ea6\u7684\u65b9\u6cd5\u3002\u5411\u91cf\u7684\u8303\u6570\u662f\u4e00\u4e2a\u975e\u8d1f\u503c\u3002\u5728\u672c\u6559\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u5b66\u4e60\u5982\u4f55\u8ba1\u7b97\u5411\u91cf\u7684\u4e0d\u540c\u7c7b\u578b\u7684\u8303\u6570\u3002<\/p>\n<p>\u5411\u91cfx\u7684\u8303\u6570\u88ab\u8868\u793a\u4e3a\uff1a\u2016x\u2016\u3002<\/p>\n<p>\u5411\u91cf\u7684\u8303\u6570\u662f\u5176\u5728\u5411\u91cf\u7a7a\u95f4\u4e2d\u4e0e\u539f\u70b9\u7684\u8ddd\u79bb\u7684\u8861\u91cf\u3002<\/p>\n<p>\u8981\u8ba1\u7b97\u8303\u6570\uff0c\u4f60\u53ef\u4ee5\u4f7f\u7528Numpy\u6216Scipy\u3002\u4e24\u8005\u90fd\u63d0\u4f9b\u4e86\u7528\u4e8e\u8ba1\u7b97\u8303\u6570\u7684\u7c7b\u4f3c\u529f\u80fd\u3002<\/p>\n<p>\u5728\u672c\u6559\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd\u673a\u5668\u5b66\u4e60\u9886\u57df\u6700\u5e38\u89c1\u7684\u4e24\u79cd\u89c4\u8303\u7c7b\u578b\u3002<\/p>\n<p>\u8fd9\u4e9b\u662f\uff1a<\/p>\n<ul class=\"post-ul\">\n<li>L1\u8303\u6570<\/li>\n<li>L2\u8303\u6570<\/li>\n<\/ul>\n<h2>\u5982\u4f55\u8ba1\u7b97\u5411\u91cf\u7684L1\u8303\u6570\uff1f<\/h2>\n<p>\u5411\u91cf\u7684L1\u8303\u6570\u4e5f\u88ab\u79f0\u4e3a\u66fc\u54c8\u987f\u8ddd\u79bb\u6216\u51fa\u79df\u8f66\u8303\u6570\u3002\u5411\u91cfx\u7684L1\u8303\u6570\u7684\u7b26\u53f7\u8868\u793a\u4e3a \u2016x\u2016\u2081\u3002<\/p>\n<p>\u8981\u8ba1\u7b97\u8303\u6570\uff0c\u4f60\u9700\u8981\u5c06\u5411\u91cf\u7684\u7edd\u5bf9\u503c\u6c42\u548c\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u4e3e\u4e2a\u4f8b\u5b50\u6765\u7406\u89e3\u4e00\u4e0b\uff1a<\/p>\n<pre class=\"post-pre\"><code>a <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span>\r\n<\/code><\/pre>\n<p>\u5bf9\u4e8e\u4e0a\u8ff0\u6570\u7ec4\uff0cL1\u8303\u6570\u5c06\u662f\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token number\">1<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">2<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">3<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">4<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">5<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">15<\/span> \r\n<\/code><\/pre>\n<p>\u8ba9\u6211\u4eec\u62ff\u53e6\u4e00\u4e2a\u4f8b\u5b50\u6765\u8bf4\u660e\uff1a<\/p>\n<pre class=\"post-pre\"><code>a <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span>\r\n<\/code><\/pre>\n<p>\u8fd9\u4e2a\u6570\u7ec4\u7684L1\u8303\u6570\u662f\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token operator\">|<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">|<\/span><span class=\"token operator\">+<\/span><span class=\"token operator\">|<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">2<\/span><span class=\"token operator\">|<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">3<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">4<\/span><span class=\"token operator\">+<\/span><span class=\"token number\">5<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">15<\/span> \r\n<\/code><\/pre>\n<p>\u5f53\u8ba1\u7b97\u4e24\u4e2a\u5411\u91cf\u7684L1\u8303\u6570\u65f6\uff0c\u7531\u4e8e\u8003\u8651\u7edd\u5bf9\u503c\uff0c\u5b83\u4eec\u7684\u7ed3\u679c\u662f\u76f8\u540c\u7684\u3002<\/p>\n<h3>Python \u5b9e\u73b0\u7684L1\u8303\u6570<\/h3>\n<p>\u8ba9\u6211\u4eec\u770b\u4e00\u4e0b\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u5411\u91cf\u7684L1\u8303\u6570\u3002<\/p>\n<h3>\u4f7f\u7528Numpy<\/h3>\n<p>\u4f7f\u7528Numpy\u8ba1\u7b97L1\u8303\u6570\u7684Python\u4ee3\u7801\u5982\u4e0b:<\/p>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">from<\/span> numpy <span class=\"token keyword\">import<\/span> array\r\n<span class=\"token keyword\">from<\/span> numpy<span class=\"token punctuation\">.<\/span>linalg <span class=\"token keyword\">import<\/span> norm\r\narr <span class=\"token operator\">=<\/span> array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span>\r\nnorm_l1 <span class=\"token operator\">=<\/span> norm<span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>norm_l1<span class=\"token punctuation\">)<\/span>\r\n<\/code><\/pre>\n<p>\u8f93\u51fa\u7ed3\u679c\uff1a<\/p>\n<pre class=\"post-pre\"><code>[1 2 3 4 5]\r\n15.0\r\n<\/code><\/pre>\n<p>\u8ba9\u6211\u4eec\u5c1d\u8bd5\u8ba1\u7b97\u5177\u6709\u8d1f\u6570\u6761\u76ee\u7684\u6570\u7ec4\uff0c\u5c31\u50cf\u6211\u4eec\u4e4b\u524d\u7684\u4f8b\u5b50\u4e00\u6837\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">from<\/span> numpy <span class=\"token keyword\">import<\/span> array\r\n<span class=\"token keyword\">from<\/span> numpy<span class=\"token punctuation\">.<\/span>linalg <span class=\"token keyword\">import<\/span> norm\r\narr <span class=\"token operator\">=<\/span> array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span>\r\nnorm_l1 <span class=\"token operator\">=<\/span> norm<span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>norm_l1<span class=\"token punctuation\">)<\/span>\r\n<\/code><\/pre>\n<p>\u8f93\u51fa\u7ed3\u679c\uff1a<\/p>\n<pre class=\"post-pre\"><code>[-1 -2  3  4  5]\r\n15.0\r\n<\/code><\/pre>\n<h3>\u4f7f\u7528Scipy\u8ba1\u7b97L1\u8303\u6570<\/h3>\n<p>\u4f7f\u7528Scipy\u8ba1\u7b97L1\u8303\u6570\u4e0e\u4e0a\u8ff0Numpy\u5b9e\u73b0\u5e76\u6ca1\u6709\u592a\u5927\u7684\u533a\u522b\u3002<\/p>\n<p>\u76f8\u540c\u7684\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">from<\/span> numpy <span class=\"token keyword\">import<\/span> array\r\n<span class=\"token keyword\">from<\/span> scipy<span class=\"token punctuation\">.<\/span>linalg <span class=\"token keyword\">import<\/span> norm\r\narr <span class=\"token operator\">=<\/span> array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span>\r\nnorm_l1 <span class=\"token operator\">=<\/span> norm<span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>norm_l1<span class=\"token punctuation\">)<\/span>\r\n<\/code><\/pre>\n<p>\u7ed3\u679c\uff1a<\/p>\n<pre class=\"post-pre\"><code>[-1 -2  3  4  5]\r\n15.0\r\n<\/code><\/pre>\n<p>\u8fd9\u6bb5\u4ee3\u7801\u4e0eNumpy\u7684\u4ee3\u7801\u5b8c\u5168\u76f8\u4f3c\u3002<\/p>\n<h2>\u5982\u4f55\u8ba1\u7b97\u4e00\u4e2a\u5411\u91cf\u7684L2\u8303\u6570\uff1f<\/h2>\n<p>\u5411\u91cfx\u7684L2\u8303\u6570\u7684\u7b26\u53f7\u4e3a\u2016x\u2016\u2082\u3002<\/p>\n<p>\u8ba1\u7b97\u4e00\u4e2a\u5411\u91cf\u7684L2\u8303\u6570\uff0c\u9700\u8981\u53d6\u8be5\u5411\u91cf\u7684\u6bcf\u4e2a\u503c\u7684\u5e73\u65b9\u6c42\u548c\u7684\u5e73\u65b9\u6839\u3002<\/p>\n<p>\u5411\u91cf\u7684L2\u8303\u6570\u53e6\u4e00\u4e2a\u540d\u79f0\u662f\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\u3002\u8fd9\u5728\u673a\u5668\u5b66\u4e60\u6a21\u578b\u4e2d\u7ecf\u5e38\u7528\u4e8e\u8ba1\u7b97\u9519\u8bef\u3002<\/p>\n<p>\u5747\u65b9\u6839\u8bef\u5dee\u662f\u6a21\u578b\u5b9e\u9645\u8f93\u51fa\u4e0e\u671f\u671b\u8f93\u51fa\u4e4b\u95f4\u7684\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\u3002<\/p>\n<p>\u673a\u5668\u5b66\u4e60\u6a21\u578b\u7684\u76ee\u6807\u662f\u51cf\u5c11\u8fd9\u4e2a\u8bef\u5dee\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u8003\u8651\u4e00\u4e2a\u4f8b\u5b50\u6765\u7406\u89e3\u5b83\u3002<\/p>\n<pre class=\"post-pre\"><code>a <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span>\r\n<\/code><\/pre>\n<p>\u4ee5\u4e0a\u7684L2\u8303\u6570\u4e3a\uff1a<\/p>\n<pre class=\"post-pre\"><code>sqrt<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">2<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">3<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">4<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">5<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">7.416<\/span>\r\n<\/code><\/pre>\n<p>L2\u8303\u6570\u59cb\u7ec8\u662f\u4e00\u4e2a\u6b63\u6570\uff0c\u56e0\u4e3a\u6211\u4eec\u5728\u5c06\u503c\u76f8\u52a0\u4e4b\u524d\u5bf9\u5176\u8fdb\u884c\u4e86\u5e73\u65b9\u3002<\/p>\n<h3>Python\u7684\u5b9e\u73b0<\/h3>\n<p>Python \u7684\u5b9e\u73b0\u5982\u4e0b\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">from<\/span> numpy <span class=\"token keyword\">import<\/span> array\r\n<span class=\"token keyword\">from<\/span> numpy<span class=\"token punctuation\">.<\/span>linalg <span class=\"token keyword\">import<\/span> norm\r\narr <span class=\"token operator\">=<\/span> array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span>\r\nnorm_l2 <span class=\"token operator\">=<\/span> norm<span class=\"token punctuation\">(<\/span>arr<span class=\"token punctuation\">)<\/span>\r\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span>norm_l2<span class=\"token punctuation\">)<\/span>\r\n<\/code><\/pre>\n<p>\u7ed3\u679c\u5982\u4e0b\uff1a<\/p>\n<pre class=\"post-pre\"><code>[1 2 3 4 5]\r\n7.416198487095663\r\n<\/code><\/pre>\n<p>\u5728\u8fd9\u91cc\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0cnorm\u65b9\u6cd5\u8fd4\u56deL2\u8303\u6570\u3002<\/p>\n<h2>\u7ed3\u8bba<\/h2>\n<p>\u8fd9\u4e2a\u6559\u7a0b\u662f\u5173\u4e8e\u5982\u4f55\u4f7f\u7528Python\u8ba1\u7b97L1\u548cL2\u8303\u6570\u3002\u6211\u4eec\u4f7f\u7528\u4e86Numpy\u548cScipy\u5e93\u6765\u8ba1\u7b97\u8fd9\u4e24\u79cd\u8303\u6570\u3002\u5e0c\u671b\u4f60\u5728\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u6709\u6240\u6536\u83b7\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u662f\u6587\u7ae0\u300a\u5728Python\u4e2d\u8ba1\u7b97\u5411\u91cf\u7684\u8303\u6570-\u8ba1\u7b97\u6b65\u9aa4\u300b\u7684\u7b2c1\u90e8\u5206\uff08\u51713\u90e8\u5206\uff09\u3002 \u5411\u91cf\u7684\u8303\u6570\u662f\u6307\u5411\u91cf\u7684\u957f\u5ea6\u6216\u5927\u5c0f\u3002 [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[272,1107,2005,811,2006],"class_list":["post-730","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-numpy","tag-python","tag-2005","tag-811","tag-2006"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.5 (Yoast SEO v21.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python\u5411\u91cf\u8303\u6570\u8ba1\u7b97\u5b8c\u5168\u6307\u5357\uff1a\u65b9\u6cd5\u3001\u5b9e\u4f8b\u4e0e\u6700\u4f73\u5b9e\u8df5 - Blog - Silicon Cloud<\/title>\n<meta name=\"description\" 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