{"id":71027,"date":"2026-02-03T00:48:47","date_gmt":"2026-02-02T16:48:47","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/71027.html"},"modified":"2026-02-03T00:48:47","modified_gmt":"2026-02-02T16:48:47","slug":"%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e5%85%a5%e9%97%a802-%e6%96%b0%e6%89%8b%e5%ad%a6%e4%b9%a0%e7%9a%84%e7%ac%ac%e4%b8%80%e4%b8%aa%e5%9b%9e%e5%bd%92%e7%ae%97%e6%b3%95%ef%bc%9a%e7%ba%bf","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/71027.html","title":{"rendered":"\u673a\u5668\u5b66\u4e60\u5165\u95e802\u2014\u2014\u65b0\u624b\u5b66\u4e60\u7684\u7b2c\u4e00\u4e2a\u56de\u5f52\u7b97\u6cd5\uff1a\u7ebf\u6027\u56de\u5f52"},"content":{"rendered":"<p>\u4e4b\u524d\u673a\u5668\u5b66\u4e60\u5165\u95e801\u6211\u4eec\u804a\u4e86\u5165\u95e8\u7b2c\u4e00\u4e2a\u5b66\u4e60\u7684KNN\u7b97\u6cd5&#xff0c;\u800cKNN\u7b97\u6cd5\u662f\u5904\u7406\u5206\u7c7b\u95ee\u9898\u7684&#xff0c;\u90a3\u4e48\u4eca\u5929\u5c31\u6765\u89e3\u9501\u65b0\u624b\u63a5\u89e6\u7684\u7b2c\u4e00\u4e2a\u56de\u5f52\u7b97\u6cd5\u2014\u2014\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n<p>\u7ebf\u6027\u56de\u5f52\u53ef\u4ee5\u8bf4\u662f\u673a\u5668\u5b66\u4e60\u7684\u201c\u57fa\u77f3\u7ea7\u7b97\u6cd5\u201d&#xff0c;\u6ca1\u6709\u590d\u6742\u7684\u7f51\u7edc\u7ed3\u6784\u3001\u6ca1\u6709\u96be\u7406\u89e3\u7684\u6fc0\u6d3b\u51fd\u6570&#xff0c;\u6838\u5fc3\u5c31\u662f\u201c\u7528\u4e00\u6761\u76f4\u7ebf&#xff08;\u6216\u5e73\u9762&#xff09;\u62df\u5408\u6570\u636e\u201d&#xff0c;\u5b66\u4e60\u7ebf\u6027\u56de\u5f52\u7b97\u6cd5\u65e2\u80fd\u5e2e\u6211\u4eec\u5feb\u901f\u638c\u63e1\u673a\u5668\u5b66\u4e60\u7684\u6838\u5fc3\u903b\u8f91&#xff08;\u7279\u5f81\u3001\u53c2\u6570\u3001\u635f\u5931\u3001\u4f18\u5316&#xff09;&#xff0c;\u53c8\u80fd\u76f4\u63a5\u89e3\u51b3\u5b9e\u9645\u4e2d\u7684\u8fde\u7eed\u503c\u9884\u6d4b\u95ee\u9898&#xff08;\u6bd4\u5982\u623f\u4ef7\u9884\u6d4b\u3001\u9500\u91cf\u9884\u6d4b&#xff09;\u3002<\/p>\n<h2>1.\u6838\u5fc3\u5b9a\u4e49&#xff1a;\u4ec0\u4e48\u662f\u7ebf\u6027\u56de\u5f52&#xff1f;<\/h2>\n<p>\u7ebf\u6027\u56de\u5f52\u7684\u672c\u8d28\u662f\u7528\u7ebf\u6027\u5173\u7cfb&#xff08;\u76f4\u7ebf \/ \u5e73\u9762 \/ \u8d85\u5e73\u9762&#xff09;\u62df\u5408\u6570\u636e\u7279\u5f81\u4e0e\u8fde\u7eed\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5173\u8054&#xff0c;\u901a\u8fc7\u5df2\u77e5\u7684\u7279\u5f81\u6216\u8005\u6807\u7b7e\u6570\u636e\u627e\u5230\u8fd9\u6761 \u201c\u6700\u8d34\u5408\u201d \u7684\u7ebf\u6027\u5173\u7cfb&#xff0c;\u518d\u7528\u5b83\u5bf9\u65b0\u7279\u5f81\u505a\u8fde\u7eed\u503c\u9884\u6d4b\u3002<\/p>\n<p>\u901a\u4fd7\u4f8b\u5b50&#xff1a;\u9884\u6d4b\u623f\u4ef7\u65f6&#xff0c;\u623f\u5b50\u300c\u9762\u79ef\u300d&#xff08;\u7279\u5f81&#xff09;\u8d8a\u5927&#xff0c;\u300c\u623f\u4ef7\u300d&#xff08;\u9884\u6d4b\u503c&#xff09;\u8d8a\u9ad8&#xff0c;\u4e8c\u8005\u5448\u73b0\u660e\u663e\u7684\u76f4\u7ebf\u8d8b\u52bf\u3002\u6211\u4eec\u7528\u5df2\u6536\u96c6\u7684 \u201c\u9762\u79ef &#8211; \u623f\u4ef7\u201d \u6570\u636e\u627e\u5230\u8fd9\u6761\u62df\u5408\u76f4\u7ebf&#xff0c;\u8f93\u5165\u65b0\u623f\u5b50\u7684\u9762\u79ef&#xff0c;\u5c31\u80fd\u901a\u8fc7\u76f4\u7ebf\u8ba1\u7b97\u51fa\u623f\u4ef7\u9884\u6d4b\u503c&#xff0c;\u8fd9\u4e2a\u8fc7\u7a0b\u5c31\u662f\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n<h3>1.1\u6838\u5fc3\u7ebf\u6027\u516c\u5f0f&#xff08;\u5355\u7279\u5f81&#xff09;&#xff1a;<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"56\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164845-6980d56dd681d.png\" width=\"162\" \/><\/p>\n<p style=\"text-align:center\">\n<ul>\n<li>\n<p><img decoding=\"async\" alt=\"\\\\widehat{y}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164845-6980d56df156d.png\" \/>&#xff1a;\u6a21\u578b\u9884\u6d4b\u503c&#xff08;\u5982\u9884\u6d4b\u623f\u4ef7&#xff09;&#xff0c;\u533a\u522b\u4e8e\u771f\u5b9e\u503cy<\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" alt=\"x\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e024de.png\" \/>&#xff1a;\u7279\u5f81\u503c&#xff08;\u5982\u623f\u5b50\u9762\u79ef&#xff09;<\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" alt=\"\\\\omega\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0818b.png\" \/>&#xff1a;\u6743\u91cd\u53c2\u6570&#xff08;\u76f4\u7ebf\u7684\u659c\u7387&#xff0c;\u8868\u5f81\u7279\u5f81\u5bf9\u9884\u6d4b\u503c\u7684\u5f71\u54cd\u7a0b\u5ea6&#xff09;<\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" alt=\"b\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>&#xff1a;\u8bef\u5dee\u9879&#xff08;\u6307\u9664\u4e86\u7ebf\u6027\u56e0\u7d20\u5916\u7684\u968f\u673a\u56e0\u7d20\u6240\u4ea7\u751f\u7684\u8bef\u5dee&#xff09;<\/p>\n<\/li>\n<\/ul>\n<h3>1.2\u591a\u7279\u5f81\u516c\u5f0f<\/h3>\n<p>\u5f53\u9884\u6d4b\u503c\u53d7\u591a\u4e2a\u7279\u5f81\u5f71\u54cd\u65f6&#xff0c;\u516c\u5f0f\u62d3\u5c55\u4e3a\u591a\u5143\u7ebf\u6027\u56de\u5f52&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"51\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e11e29.png\" width=\"446\" \/><\/p>\n<ul>\n<li><img decoding=\"async\" alt=\"x_1\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e1aaec.png\" \/>\u200b,<img decoding=\"async\" alt=\"x_2\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e1f796.png\" \/>\u200b,&#8230;,<img decoding=\"async\" alt=\"x_3\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e24372.png\" \/>&#xff1a;\u591a\u4e2a\u8f93\u5165\u7279\u5f81<br \/>\n\u00a0<\/li>\n<li><img decoding=\"async\" alt=\"w_1\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e28ce2.png\" \/>\u200b,<img decoding=\"async\" alt=\"w_2\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e2d7ce.png\" \/>\u200b,&#8230;,<img decoding=\"async\" alt=\"w_n\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e32339.png\" \/>\u200b&#xff1a;\u6bcf\u4e2a\u7279\u5f81\u5bf9\u5e94\u7684\u6743\u91cd\u53c2\u6570<\/li>\n<\/ul>\n<h2>2.\u6838\u5fc3\u95ee\u9898&#xff1a;\u7ebf\u6027\u56de\u5f52\u5230\u5e95\u5728 \u201c\u627e\u4ec0\u4e48\u201d&#xff1f;<\/h2>\n<p>\u6211\u4eec\u90fd\u77e5\u9053\u7ebf\u6027\u56de\u5f52\u8981\u627e\u4e00\u6761\u201c\u6700\u8d34\u5408\u2018\u2019\u76f4\u7ebf&#xff0c;\u4f46\u600e\u4e48\u53bb\u627e\u201c\u6700\u8d34\u5408\u201d\u8fd9\u4e9b\u6570\u636e\u7684\u76f4\u7ebf&#xff1f;<\/p>\n<p>\u7b54\u6848\u5f88\u7b80\u5355&#xff1a;\u627e\u4e00\u7ec4\u6700\u4f18\u7684\u53c2\u6570,\u8ba9\u6240\u6709\u6570\u636e\u5230\u8fd9\u6761\u76f4\u7ebf\u7684\u201c\u8ddd\u79bb\u5dee\u201d\u6700\u5c0f\u3002<\/p>\n<p>\u800c \u201c\u6700\u8d34\u5408\u201d \u7684\u91cf\u5316\u6807\u51c6&#xff0c;\u662f\u8ba9\u6240\u6709\u6570\u636e\u7684\u771f\u5b9e\u503c<img decoding=\"async\" alt=\"y\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e36d8a.png\" \/>\u548c\u6a21\u578b\u9884\u6d4b\u503c<img decoding=\"async\" alt=\"\\\\widehat{y}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164845-6980d56df156d.png\" \/>\u200b\u4e4b\u95f4\u7684\u8bef\u5dee&#xff08;\u6b8b\u5dee&#xff09;\u6700\u5c0f\u2014\u2014 \u8fd9\u662f\u7ebf\u6027\u56de\u5f52\u7684\u6838\u5fc3\u76ee\u6807&#xff0c;\u6240\u6709\u540e\u7eed\u7684\u635f\u5931\u51fd\u6570\u3001\u4f18\u5316\u7b97\u6cd5&#xff0c;\u90fd\u662f\u4e3a\u4e86\u5b9e\u73b0\u8fd9\u4e2a\u76ee\u6807\u3002<\/p>\n<h3>2.1\u8bef\u5dee\u9879\u5206\u6790<\/h3>\n<p>\u6211\u4eec\u628a\u5355\u4e2a\u6570\u636e\u7684\u771f\u5b9e\u503c\u548c\u9884\u6d4b\u503c\u7684\u5dee\u503c\u79f0\u4e3a\u8bef\u5dee\u9879\u03b5&#xff08;epsilon&#xff09;&#xff0c;\u6838\u5fc3\u5173\u7cfb\u4e3a&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"57\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e3b7b5.png\" width=\"131\" \/><\/p>\n<p>\u4ee3\u5165\u516c\u5f0f&#xff0c;\u53ef\u5f97\u771f\u5b9e\u503c\u7684\u5b8c\u6574\u8868\u8fbe\u5f0f&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"55\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e402a9.png\" width=\"255\" \/><\/p>\n<p>\u516c\u5f0f\u7684\u610f\u4e49&#xff1a;\u771f\u5b9e\u503c &#061; \u6a21\u578b\u7ebf\u6027\u9884\u6d4b\u503c &#043; \u9884\u6d4b\u8bef\u5dee&#xff0c;\u8bef\u5dee\u9879\u03b5\u8868\u5f81\u4e86\u6a21\u578b\u672a\u62df\u5408\u5230\u7684\u968f\u673a\u56e0\u7d20<\/p>\n<h3>2.2 \u8bef\u5dee\u9879\u7684\u6838\u5fc3\u5047\u8bbe&#xff1a;\u9ad8\u65af\u5206\u5e03&#xff08;\u6b63\u6001\u5206\u5e03&#xff09;<\/h3>\n<p>\u7ebf\u6027\u56de\u5f52\u80fd\u6210\u7acb&#xff0c;\u6709\u4e00\u4e2a\u5173\u952e\u524d\u63d0\u5047\u8bbe&#xff1a;\u6240\u6709\u6570\u636e\u7684\u8bef\u5dee\u9879<img decoding=\"async\" alt=\"\\\\varepsilon\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e476d9.png\" \/>\u90fd\u670d\u4ece\u300c\u5747\u503c\u4e3a 0&#xff0c;\u65b9\u5dee\u4e3a<img decoding=\"async\" alt=\"\\\\sigma ^{2}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e4bf96.png\" \/>\u300d\u7684\u9ad8\u65af\u5206\u5e03\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48\u662f\u9ad8\u65af\u5206\u5e03&#xff1f;<\/p>\n<p>\u56e0\u4e3a\u5b9e\u9645\u573a\u666f\u4e2d&#xff0c;\u9884\u6d4b\u7684\u968f\u673a\u8bef\u5dee\u662f\u65e0\u6570\u4e2a\u5fae\u5c0f\u72ec\u7acb\u56e0\u7d20\u7684\u53e0\u52a0&#xff0c;\u6839\u636e\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406&#xff0c;\u8fd9\u4e9b\u5fae\u5c0f\u56e0\u7d20\u7684\u53e0\u52a0\u7ed3\u679c\u5fc5\u7136\u670d\u4ece\u9ad8\u65af\u5206\u5e03\u3002<\/p>\n<h4>2.2.1\u9ad8\u65af\u5206\u5e03\u7684\u6982\u7387\u5bc6\u5ea6\u516c\u5f0f<\/h4>\n<h4>\u8bef\u5dee\u9879<img decoding=\"async\" alt=\"\\\\varepsilon\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e476d9.png\" \/>\u223cN(0,<img decoding=\"async\" alt=\"\\\\sigma ^{2}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e4bf96.png\" \/>)&#xff0c;\u5176\u6982\u7387\u5bc6\u5ea6\u4e3a&#xff1a;<\/h4>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"70\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e507ec.png\" width=\"309\" \/><\/p>\n<ul>\n<li>\u8bef\u5dee\u670d\u4ece\u6b63\u6001\u5206\u5e03\u6240\u4ee5\u5747\u503c\u4e3a 0&#xff1a;\u8bef\u5dee\u7684\u6b63\u8d1f\u6ce2\u52a8\u76f8\u4e92\u62b5\u6d88&#xff0c;\u6a21\u578b\u6ca1\u6709\u7cfb\u7edf\u6027\u504f\u8bef&#xff08;\u4e0d\u4f1a\u4e00\u76f4\u9884\u6d4b\u504f\u9ad8 \/ \u504f\u4f4e&#xff09;<\/li>\n<li>\u03c3&#xff1a;\u6807\u51c6\u5dee&#xff0c;\u8868\u5f81\u8bef\u5dee\u7684\u6ce2\u52a8\u5927\u5c0f&#xff0c;\u03c3\u8d8a\u5c0f&#xff0c;\u6a21\u578b\u9884\u6d4b\u8d8a\u7cbe\u51c6<\/li>\n<\/ul>\n<h3>2.3 \u4ee3\u5165\u8bef\u5dee&#xff1a;\u63a8\u5bfc\u771f\u5b9e\u503c\u7684\u6761\u4ef6\u6982\u7387<\/h3>\n<p>\u4eec\u7684\u76ee\u6807\u662f\u627e\u5230\u53c2\u6570<img decoding=\"async\" alt=\"w\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e59601.png\" \/>,<img decoding=\"async\" alt=\"b\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>&#xff0c;\u8ba9\u6a21\u578b\u62df\u5408\u7684\u76f4\u7ebf\u80fd\u6700\u5927\u6982\u7387\u751f\u6210\u5df2\u77e5\u7684\u771f\u5b9e\u6570\u636e&#xff08;\u8fd9\u4e2a\u601d\u60f3\u79f0\u4e3a\u6700\u5927\u4f3c\u7136\u4f30\u8ba1&#xff09;&#xff0c;\u56e0\u6b64\u9700\u8981\u63a8\u5bfc\u771f\u5b9e\u503cy\u5728\u7279\u5f81x\u548c\u53c2\u6570<img decoding=\"async\" alt=\"w\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e59601.png\" \/>,<img decoding=\"async\" alt=\"b\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>\u4e0b\u7684\u6761\u4ef6\u6982\u7387<img decoding=\"async\" alt=\"p(y|x;w,b)\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e5e023.png\" \/>\u3002<\/p>\n<p>\u6b65\u9aa4 1&#xff1a;\u5c06\u8bef\u5dee\u9879<img decoding=\"async\" alt=\"\\\\varepsilon &#061;y-\\\\omega x-b\" class=\"mathcode\" src=\"2026-02-03vkt2duv0rf0.png\" \/>\u4ee3\u5165\u9ad8\u65af\u5206\u5e03\u516c\u5f0f&#xff1b;<\/p>\n<p>\u6b65\u9aa4 2&#xff1a;\u6761\u4ef6\u6982\u7387<img decoding=\"async\" alt=\"p(y|x;w,b)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e5e023.png\" \/>\u7b49\u4ef7\u4e8e<img decoding=\"async\" alt=\"p\\\\left ( \\\\varepsilon \\\\right )\" class=\"mathcode\" src=\"2026-02-03jlsv34lneiw.png\" \/>&#xff08;\u56e0\u4e3ax,w,b\u786e\u5b9a\u65f6&#xff0c;<img decoding=\"async\" alt=\"\\\\varepsilon\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e476d9.png\" \/>\u548c<img decoding=\"async\" alt=\"y\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e36d8a.png\" \/>\u4e00\u4e00\u5bf9\u5e94&#xff09;&#xff1b;<\/p>\n<p>\u6700\u7ec8\u63a8\u5bfc\u5f97\u5230&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"64\" src=\"2026-02-03bupqcw0eukt.png\" width=\"486\" \/><\/p>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u7684\u6838\u5fc3\u610f\u4e49&#xff1a;\u5728\u5df2\u77e5\u7279\u5f81x\u548c\u53c2\u6570w,b\u65f6&#xff0c;\u6a21\u578b\u751f\u6210\u771f\u5b9e\u503cy\u7684\u6982\u7387\u3002\u6211\u4eec\u8981\u627e\u7684\u6700\u4f18w,b&#xff0c;\u5c31\u662f\u8ba9\u8fd9\u4e2a\u6982\u7387\u5bf9\u6240\u6709\u6570\u636e\u7684\u4e58\u79ef\u6700\u5927&#xff08;\u6700\u5927\u4f3c\u7136\u4f30\u8ba1&#xff09;\u3002<\/p>\n<h2>3.\u6838\u5fc3\u91cf\u5316&#xff1a;\u635f\u5931\u51fd\u6570\u00a0<\/h2>\n<p>\u901a\u8fc7\u6700\u5927\u4f3c\u7136\u4f30\u8ba1\u63a8\u5bfc\u540e&#xff0c;\u4f1a\u53d1\u73b0\u8ba9\u771f\u5b9e\u503c\u7684\u6761\u4ef6\u6982\u7387\u4e58\u79ef\u6700\u5927&#xff0c;\u7b49\u4ef7\u4e8e\u8ba9\u6240\u6709\u6570\u636e\u7684<img decoding=\"async\" alt=\"(y-\\\\omega x-b)^{2}\" class=\"mathcode\" src=\"2026-02-03gfb4zttvfqc.png\" \/>\u4e4b\u548c\u6700\u5c0f.<\/p>\n<p>\u4e3a\u4e86\u6807\u51c6\u5316\u8fd9\u4e2a\u76ee\u6807&#xff0c;\u6211\u4eec\u5b9a\u4e49\u7ebf\u6027\u56de\u5f52\u7684\u635f\u5931\u51fd\u6570&#xff08;Loss Function&#xff09;\u2014\u2014\u5747\u65b9\u8bef\u5dee&#xff08;MSE&#xff09;&#xff0c;\u8fd9\u662f\u56de\u5f52\u95ee\u9898\u6700\u5e38\u7528\u7684\u635f\u5931\u51fd\u6570&#xff0c;\u4e5f\u662f\u7ebf\u6027\u56de\u5f52\u7684\u6807\u914d\u3002<\/p>\n<h3>3.1 \u5747\u65b9\u8bef\u5dee&#xff08;MSE&#xff09;\u516c\u5f0f<\/h3>\n<p>\u5bf9\u4e8e\u6709m\u4e2a\u6837\u672c\u7684\u6570\u636e\u96c6&#xff0c;\u5747\u65b9\u8bef\u5dee\u635f\u5931\u51fd\u6570<img decoding=\"async\" alt=\"J(w,b)\" class=\"mathcode\" src=\"2026-02-033a5bvk2habs.png\" \/>\u4e3a&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"69\" src=\"2026-02-03sjkl1sntcfz.png\" width=\"711\" \/><\/p>\n<ul>\n<li>\u4e0b\u6807<img decoding=\"async\" alt=\"i\" class=\"mathcode\" src=\"2026-02-03umzxtp5ddcw.png\" \/>&#xff1a;\u7b2c<img decoding=\"async\" alt=\"i\" class=\"mathcode\" src=\"2026-02-03umzxtp5ddcw.png\" \/>\u4e2a\u6837\u672c\u7684\u771f\u5b9e\u503c<img decoding=\"async\" alt=\"y_i\" class=\"mathcode\" src=\"2026-02-03wdyiaw32klk.png\" \/>\u200b\u3001\u7279\u5f81<img decoding=\"async\" alt=\"x_i\" class=\"mathcode\" src=\"2026-02-03ubrdm0z4rhr.png\" \/>\u3001\u9884\u6d4b\u503c<img decoding=\"async\" alt=\"\\\\widehat{y_i}\" class=\"mathcode\" src=\"2026-02-03l1vdqttnlmg.png\" \/><\/li>\n<li><img decoding=\"async\" alt=\"\\\\frac{1}{2m}\" class=\"mathcode\" src=\"2026-02-03t0yncvwhqu4.png\" \/>&#xff1a;\u6807\u51c6\u5316\u9879&#xff0c;\u200b<img decoding=\"async\" alt=\"\\\\frac{1}{m}\" class=\"mathcode\" src=\"2026-02-03mapcvzt2ia2.png\" \/>\u662f\u6c42\u5747\u503c&#xff08;\u8ba9\u635f\u5931\u4e0e\u6837\u672c\u6570\u65e0\u5173&#xff09;&#xff0c;<img decoding=\"async\" alt=\"\\\\frac{1}{2}\" class=\"mathcode\" src=\"2026-02-03mwm1bngxbz5.png\" \/>\u662f\u4e3a\u4e86\u540e\u7eed\u6c42\u5bfc\u65f6\u6d88\u53bb\u5e73\u65b9\u7684\u7cfb\u6570 2&#xff0c;(\u7b80\u5316\u8ba1\u7b97&#xff0c;\u4e0d\u5f71\u54cd\u6700\u4f18\u53c2\u6570\u7684\u6c42\u89e3)<\/li>\n<li>\u6838\u5fc3\u9879<img decoding=\"async\" alt=\"(y_i-\\\\widehat{y_i})^{2}\" class=\"mathcode\" src=\"2026-02-03ftxy5pbw13x.png\" \/>&#xff1a;\u5e73\u65b9\u8bef\u5dee&#xff0c;\u65e2\u4fdd\u8bc1\u8bef\u5dee\u975e\u8d1f&#xff0c;\u53c8\u80fd\u653e\u5927\u8f83\u5927\u7684\u8bef\u5dee&#xff08;\u8ba9\u6a21\u578b\u4f18\u5148\u4fee\u6b63\u9884\u6d4b\u504f\u5dee\u5927\u7684\u6837\u672c&#xff09;<\/li>\n<\/ul>\n<h3>3.2 \u635f\u5931\u51fd\u6570\u7684\u610f\u4e49<\/h3>\n<p><img decoding=\"async\" alt=\"J(w,b)\" class=\"mathcode\" src=\"2026-02-033a5bvk2habs.png\" \/>\u662f\u5173\u4e8e\u53c2\u6570<img decoding=\"async\" alt=\"w\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e59601.png\" \/>\u548c<img decoding=\"async\" alt=\"b\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>\u7684\u4e8c\u6b21\u51fd\u6570&#xff0c;\u5176\u51fd\u6570\u56fe\u50cf\u662f\u4e00\u4e2a\u51f8\u51fd\u6570&#xff08;\u53ea\u6709\u4e00\u4e2a\u6700\u5c0f\u503c\u70b9&#xff0c;\u65e0\u5c40\u90e8\u6700\u4f18&#xff09;&#xff0c;\u800c\u7ebf\u6027\u56de\u5f52\u7684\u6838\u5fc3\u76ee\u6807&#xff0c;\u5c31\u662f\u627e\u5230\u8fd9\u4e2a\u6700\u5c0f\u503c\u70b9\u5bf9\u5e94\u7684<img decoding=\"async\" alt=\"w\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e59601.png\" \/>*\u548c<img decoding=\"async\" alt=\"b\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>*\u2014\u2014\u6700\u4f18\u53c2\u6570&#xff0c;\u6b64\u65f6\u635f\u5931\u51fd\u6570\u6700\u5c0f&#xff0c;\u6a21\u578b\u7684\u6574\u4f53\u9884\u6d4b\u8bef\u5dee\u6700\u5c0f\u3002<\/p>\n<h2>4.\u6838\u5fc3\u6c42\u89e3&#xff1a;\u627e\u5230\u6700\u4f18\u53c2\u6570<\/h2>\n<p>\u77e5\u9053\u4e86\u8981\u8ba9\u635f\u5931\u51fd\u6570<img decoding=\"async\" alt=\"J(w,b)\" class=\"mathcode\" src=\"2026-02-033a5bvk2habs.png\" \/>\u6700\u5c0f&#xff0c;\u63a5\u4e0b\u6765\u5c31\u662f\u6c42\u89e3\u6700\u4f18\u53c2\u6570&#xff0c;\u8fd9\u91cc\u6211\u4eec\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\u6765\u8ba1\u7b97<\/p>\n<p>\u5bf9\u4e8e\u7ebf\u6027\u56de\u5f52\u7684\u5747\u65b9\u8bef\u5dee\u635f\u5931&#xff0c;\u5b58\u5728\u89e3\u6790\u89e3&#xff0c;\u53ef\u4ee5\u901a\u8fc7\u5bf9\u635f\u5931\u51fd\u6570\u6c42\u504f\u5bfc\u5e76\u4ee4\u504f\u5bfc\u4e3a 0&#xff0c;\u76f4\u63a5\u89e3\u51fa\u6700\u4f18\u53c2\u6570<img decoding=\"async\" alt=\"w\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e59601.png\" \/>*\u548c<img decoding=\"async\" alt=\"b\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>*&#xff0c;\u8fd9\u4e2a\u65b9\u6cd5\u79f0\u4e3a\u6700\u5c0f\u4e8c\u4e58\u6cd5\u3002<\/p>\n<p>\u5bf9<img decoding=\"async\" alt=\"J(w,b)\" src=\"2026-02-033a5bvk2habs.png\" \/>\u5206\u522b\u5173\u4e8e<img decoding=\"async\" alt=\"w\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e59601.png\" \/>\u548c<img decoding=\"async\" alt=\"b\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e0d0d2.png\" \/>\u6c42\u504f\u5bfc&#xff0c;\u4ee4<img decoding=\"async\" alt=\"\\\\frac{\\\\partial J}{\\\\partial w}&#061;0\" class=\"mathcode\" src=\"2026-02-034fch1r0b5rr.png\" \/>\u3001<img decoding=\"async\" alt=\"\\\\frac{\\\\partial J}{\\\\partial b}&#061;0\" class=\"mathcode\" src=\"2026-02-03svt3n1jblnw.png\" \/>&#xff0c;\u89e3\u65b9\u7a0b\u7ec4\u53ef\u5f97&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"69\" src=\"2026-02-03dbnaiwcfbrl.png\" width=\"274\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"54\" src=\"2026-02-03veofmtr5c25.png\" width=\"189\" \/><\/p>\n<ul>\n<li><img decoding=\"async\" alt=\"\\\\overline{x}\" class=\"mathcode\" src=\"2026-02-03owg1ak12hyg.png\" \/>&#xff1a;\u7279\u5f81x\u7684\u6837\u672c\u5747\u503c&#xff0c;<img decoding=\"async\" alt=\"\\\\overline{x}&#061;\\\\frac{1}{m} \\\\sum_{i&#061;1}^{m}x_{i}\" class=\"mathcode\" src=\"2026-02-035om4puc0uhh.png\" \/><\/li>\n<li><img decoding=\"async\" alt=\"\\\\overline{y}\" class=\"mathcode\" src=\"2026-02-03namhhqcaqrj.png\" \/>&#xff1a;\u771f\u5b9e\u503cy\u7684\u6837\u672c\u5747\u503c&#xff0c;<img decoding=\"async\" alt=\"\\\\overline{y}&#061;\\\\frac{1}{m} \\\\sum_{i&#061;1}^{m}y_{i}\" class=\"mathcode\" src=\"2026-02-03r2covkigvdw.png\" \/><\/li>\n<\/ul>\n<h2>5.\u7ebf\u6027\u56de\u5f52\u9879\u76ee\u5b9e\u6218<\/h2>\n<h2><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"396\" src=\"2026-02-03iaqwnzmjkkq.png\" width=\"363\" \/><\/h2>\n<p>\u5bf9\u4ee5\u4e0a\u6570\u636e\u5efa\u7acb\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/p>\n<p>import pandas as pd<br \/>\nimport matplotlib.pyplot as plt<br \/>\nfrom sklearn.linear_model import LinearRegression<\/p>\n<p>plt.rcParams[&#039;font.sans-serif&#039;] &#061; [&#039;Microsoft YaHei&#039;]<br \/>\nplt.rcParams[&#039;axes.unicode_minus&#039;] &#061; False<\/p>\n<p>data &#061; pd.read_csv(&#034;\u591a\u5143\u7ebf\u6027\u56de\u5f52.csv&#034;, encoding&#061;&#039;gbk&#039;, engine&#061;&#039;python&#039;)<\/p>\n<p>corr &#061; data[[&#034;\u4f53\u91cd&#034;, &#034;\u5e74\u9f84&#034;, &#034;\u8840\u538b\u6536\u7f29&#034;]].corr()<br \/>\nprint(corr)<\/p>\n<p>lr_model &#061; LinearRegression()<br \/>\nx &#061; data[[&#039;\u4f53\u91cd&#039;, &#039;\u5e74\u9f84&#039;]]<br \/>\ny &#061; data[[&#039;\u8840\u538b\u6536\u7f29&#039;]]<br \/>\nlr_model.fit(x, y)<\/p>\n<p>score &#061; lr_model.score(x, y)<br \/>\nprint(f&#034;\u6a21\u578bR\u00b2\u503c&#xff1a;{score:.4f}&#034;)<\/p>\n<p>print(&#034;\u5355\u6837\u672c\u9884\u6d4b\u7ed3\u679c&#xff1a;&#034;, lr_model.predict([[80, 60]]))<br \/>\nprint(&#034;\u591a\u6837\u672c\u9884\u6d4b\u7ed3\u679c&#xff1a;&#034;, lr_model.predict([[70, 30], [70, 20]]))<\/p>\n<p>a &#061; lr_model.coef_[0]<br \/>\nb &#061; lr_model.intercept_[0]<br \/>\nprint(f&#034;\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u4e3a&#xff1a;y &#061; {a[0]:.2f}x1 &#043; {a[1]:.2f}x2 &#043; {b:.2f}&#034;)<\/p>\n<p>y_pred &#061; lr_model.predict(x)<\/p>\n<p>plt.figure(figsize&#061;(10, 6))<br \/>\nplt.scatter(y, y_pred, alpha&#061;0.7, color&#061;&#039;blue&#039;, label&#061;&#039;\u5b9e\u9645\u503cvs\u9884\u6d4b\u503c&#039;)<br \/>\nplt.plot([y.min(), y.max()], [y.min(), y.max()], &#039;r&#8211;&#039;, lw&#061;2, label&#061;&#039;\u7406\u60f3\u62df\u5408\u7ebf&#039;)<\/p>\n<p>plt.xlabel(&#039;\u8840\u538b\u6536\u7f29&#xff08;\u5b9e\u9645\u503c&#xff09;&#039;, fontsize&#061;12)<br \/>\nplt.ylabel(&#039;\u8840\u538b\u6536\u7f29&#xff08;\u9884\u6d4b\u503c&#xff09;&#039;, fontsize&#061;12)<br \/>\nplt.title(f&#039;\u591a\u5143\u7ebf\u6027\u56de\u5f52&#xff1a;\u5b9e\u9645\u503c vs \u9884\u6d4b\u503c (R^2 &#061; {score:.4f})&#039;, fontsize&#061;14)<br \/>\nplt.legend(fontsize&#061;10)<br \/>\nplt.grid(True, alpha&#061;0.3)<\/p>\n<p>plt.show()<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1368\" src=\"2026-02-03hyiek1u5til.png\" width=\"2560\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-03ddb0cgznzc0.png\" \/><\/p>\n<h3>5.1\u4ee3\u7801\u8be6\u89e3<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"403\" src=\"2026-02-03teioc0fhrxg.png\" width=\"1563\" \/><\/p>\n<p>\u5148\u5bfc\u5165\u76f8\u5173\u7b2c\u4e09\u65b9\u5e93&#xff0c;\u6211\u4eec\u7684\u6570\u636e\u96c6\u662f.csv\u6587\u4ef6&#xff0c;\u6240\u4ee5\u6211\u4eec\u4f7f\u7528pandas\u5e93&#xff0c;\u7136\u540e\u662f\u7ed8\u56fe\u5e93matplotlib&#xff0c;\u6700\u540e\u662f\u673a\u5668\u5b66\u4e60\u5fc5\u987b\u7684sklearn&#xff0c;\u56e0\u4e3amatplotlib\u4e0d\u652f\u6301\u4e2d\u6587&#xff0c;\u6240\u4ee5\u6211\u4eec\u63d0\u524d\u8bbe\u7f6e\u7ed8\u56fe\u7684\u5b57\u4f53\u5fae\u8f6f\u96c5\u9ed1&#xff0c;\u7136\u540e\u5c31\u5bfc\u5165.csv\u6587\u4ef6<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"93\" src=\"2026-02-03hcdnrpbhbhb.png\" width=\"862\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"201\" src=\"2026-02-0335pnoxjw55j.png\" width=\"816\" \/><\/p>\n<p>\u8ba1\u7b97\u5e76\u8f93\u51fa\u6307\u5b9a\u53d8\u91cf\u4e4b\u95f4\u7684\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u77e9\u9635&#xff0c;\u7528\u4e8e\u5206\u6790\u53d8\u91cf\u95f4\u7684\u5173\u8054\u6027\u3002<\/p>\n<p>\u4f53\u91cd\u548c\u8840\u538b\u6536\u7f29\u7684\u76f8\u5173\u7cfb\u6570\u4e3a 0.9064&#xff0c;\u5448\u5f3a\u6b63\u76f8\u5173&#xff0c;\u8bf4\u660e\u4f53\u91cd\u8d8a\u5927&#xff0c;\u8840\u538b\u6536\u7f29\u503c\u8d8a\u9ad8&#xff0c;\u8fd9\u662f\u6700\u663e\u8457\u7684\u5173\u8054\u3002<\/p>\n<p>\u4f53\u91cd\u548c\u5e74\u9f84\u7684\u76f8\u5173\u7cfb\u6570\u4e3a -0.7003&#xff0c;\u5448\u8d1f\u76f8\u5173&#xff0c;\u8bf4\u660e\u5e74\u9f84\u8d8a\u5927&#xff0c;\u4f53\u91cd\u6709\u964d\u4f4e\u7684\u8d8b\u52bf\u3002<\/p>\n<p>\u5e74\u9f84\u548c\u8840\u538b\u6536\u7f29\u7684\u76f8\u5173\u7cfb\u6570\u4e3a -0.3828&#xff0c;\u5448\u5f31\u8d1f\u76f8\u5173&#xff0c;\u8bf4\u660e\u5e74\u9f84\u5bf9\u8840\u538b\u6536\u7f29\u7684\u76f4\u63a5\u5f71\u54cd\u8f83\u5c0f\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"351\" src=\"2026-02-03py1aoncvjwx.png\" width=\"688\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"54\" src=\"2026-02-03oodmorq3n4a.png\" width=\"306\" \/><\/p>\n<p>\u521b\u5efa\u4e00\u4e2a LinearRegression \u7c7b&#xff0c;\u8be5\u6a21\u578b\u9ed8\u8ba4\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\u6765\u6c42\u89e3\u56de\u5f52\u7cfb\u6570\u3002<\/p>\n<p>\u201c\u4f53\u91cd\u201d \u548c \u201c\u5e74\u9f84\u201d \u4f5c\u4e3a\u6a21\u578b\u7684x<\/p>\n<p>\u201c\u8840\u538b\u6536\u7f29\u201d \u4f5c\u6a21\u578b\u7684y<\/p>\n<p>\u7136\u540e\u8c03\u7528 fit() \u65b9\u6cd5&#xff0c;\u7528\u7279\u5f81 x \u548c\u76ee\u6807 y \u8bad\u7ec3\u6a21\u578b\u3002\u6a21\u578b\u4f1a\u901a\u8fc7\u6700\u5c0f\u4e8c\u4e58\u6cd5\u8ba1\u7b97\u51fa\u56de\u5f52\u7cfb\u6570\u548c\u8bef\u5dee\u9879&#xff0c;\u4ece\u800c\u5efa\u7acb\u4ece \u201c\u4f53\u91cd\u3001\u5e74\u9f84\u201d \u5230 \u201c\u8840\u538b\u6536\u7f29\u201d \u7684\u7ebf\u6027\u5173\u7cfb\u3002<\/p>\n<p>\u7136\u540e\u8f93\u51faR\u00b2\u4e3a0.9461<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"124\" src=\"2026-02-03cscwlkr4sfp.png\" width=\"1172\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"156\" src=\"2026-02-033n0apa1i5aw.png\" width=\"621\" \/><\/p>\n<p>\u8fd9\u6bb5\u4ee3\u7801\u662f\u7528\u8bad\u7ec3\u597d\u7684\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u8fdb\u884c\u9884\u6d4b&#xff0c;\u5e76\u8f93\u51fa\u7ed3\u679c<\/p>\n<p>\u5f53\u5355\u6837\u672c\u7684\u4f53\u91cd\u4e3a 80\u3001\u5e74\u9f84\u4e3a 60 \u65f6&#xff0c;\u6a21\u578b\u9884\u6d4b\u7684\u8840\u538b\u6536\u7f29\u503c\u7ea6\u4e3a 131.97\u3002<\/p>\n<p>\u5f53\u591a\u6837\u672c\u7b2c\u4e00\u4e2a\u6837\u672c&#xff1a;\u4f53\u91cd 70&#xff0c;\u5e74\u9f84 30&#xff1b;\u7b2c\u4e8c\u4e2a\u6837\u672c&#xff1a;\u4f53\u91cd 70&#xff0c;\u5e74\u9f84 20&#xff1b;\u4e24\u4e2a\u6837\u672c\u5bf9\u5e94\u7684\u9884\u6d4b\u8840\u538b\u6536\u7f29\u503c\u5206\u522b\u7ea6\u4e3a 98.60 \u548c 94.60\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"154\" src=\"2026-02-03xbjygblc51v.png\" width=\"1218\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"57\" src=\"2026-02-03zttqihxzv3f.png\" width=\"792\" \/><\/p>\n<p>\u8fd9\u6bb5\u4ee3\u7801\u8868\u793a\u63d0\u53d6\u5e76\u8f93\u51fa\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u7cfb\u6570\u548c\u622a\u8ddd&#xff0c;\u4ece\u800c\u5f97\u5230\u5b8c\u6574\u7684\u7ebf\u6027\u56de\u5f52\u65b9\u7a0b<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"638\" src=\"2026-02-03ctfrcwt3uyi.png\" width=\"1609\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2026-02-033wh3b1f00qo.png\" \/><\/p>\n<p>\u8fd9\u6bb5\u4ee3\u7801\u5c31\u662f\u5c06\u6240\u6709\u6570\u636e\u548c\u7ebf\u6027\u56de\u5f52\u65b9\u7a0b\u4ee5\u56fe\u8868\u7684\u5f62\u5f0f\u5c55\u793a\u3002<\/p>\n<p>OK\u554a&#xff0c;\u4ee5\u4e0a\u5c31\u662f\u673a\u5668\u5b66\u4e60\u7ebf\u6027\u56de\u5f52\u7684\u8be6\u7ec6\u4ecb\u7ecd\u3002<\/p>\n<\/p>\n<\/p>\n<h2>\u65e5\u8bb0<\/h2>\n<p>2\u67082\u65e5&#xff0c;\u661f\u671f\u4e00<\/p>\n<p>\u5410\u69fdCSDN\u81ea\u5e26\u7684latex\u516c\u5f0f\u7f16\u8f91\u5668<\/p>\n<p>\u6709\u5230\u4e86\u5468\u4e00&#xff0c;\u53c8\u662f\u65b0\u7684\u4e00\u5468&#xff0c;\u53c8\u662f\u4e00\u53e5\u6ca1\u7528\u7684\u5e9f\u8bdd&#xff0c;\u65e5\u8bb0\u5c31\u662f\u8fd9\u4e48\u591a\u6d41\u6c34\u8d26\u7ec4\u6210\u7684\u3002<\/p>\n<p>\u5176\u5b9e\u4eca\u5929\u7684\u535a\u5ba2\u6211\u5199\u5230\u665a\u4e0a12\u70b9\u8fd8\u6ca1\u6709\u5199\u5b8c&#xff0c;\u4f46\u662f\u73b0\u5728CSDN\u6709\u4e00\u4e2a\u6d3b\u52a8&#xff0c;\u6bcf\u5929\u53d1\u4e00\u7bc7\u535a\u5ba2\u6709\u6d41\u91cf\u5238&#xff0c;\u6240\u4ee5\u6211\u5c31\u5148\u628a\u5199\u4e86\u4e00\u534a\u7684\u63d0\u4ea4\u4e86&#xff0c;\u7136\u540e\u518d\u7f16\u5267\u8865\u5b8c&#xff0c;\u8fd9\u6837\u4e5f\u80fd\u62ff\u5230\u6d41\u91cf\u5238\u3002<\/p>\n<p>\u4eca\u5929\u6572\u516c\u5f0f\u771f\u7684\u662f\u7d2f&#xff0c;\u6211\u5c24\u5176\u8981\u5410\u69fd\u4e00\u4e0b\u81ea\u5e26\u7684latex&#xff0c;\u8fd9\u4e2a<img decoding=\"async\" alt=\"\\\\varepsilon\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e476d9.png\" \/>\u5de8\u4e11&#xff0c;\u867d\u7136\u8fd9\u4e2a\u516c\u5f0f\u53ef\u4ee5\u50cf\u4ee3\u7801\u4e00\u6837\u8f93\u5165&#xff0c;\u4f46\u662f\u6211\u8f93\u5165\u516c\u5f0f\u57fa\u672c\u90fd\u662f\u9f20\u6807\u70b9\u70b9\u70b9&#xff0c;\u627e\u7279\u6b8a\u7b26\u53f7&#xff0c;\u8fd9\u91cc\u4e0d\u5982AXmath\u5168&#xff0c;\u800c\u4e14\u8fd9\u4e2a\u00a0<img decoding=\"async\" alt=\"\\\\varepsilon\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260202164846-6980d56e476d9.png\" \/>\u00a0\u771f\u7684\u597d\u4e11&#xff0c;\u53c8\u4e0d\u6e05\u695a&#xff0c;\u53c8\u5c0f&#xff0c;\u9632\u6b62\u56e0\u4e3a\u6211\u7535\u8111\u95ee\u9898&#xff0c;\u6211\u76f4\u63a5\u622a\u5c4f\u4e0b\u6765\u5410\u69fd<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"72\" src=\"2026-02-03gvr5jrbzbf2.png\" width=\"52\" \/><\/p>\n<p>\u8fd9\u4e2a\u771f\u7684\u4e11\u7684\u8981\u6b7b&#xff0c;\u6211\u641c\u72d7\u8f93\u5165\u6cd5\u8f93\u51fa\u7684\u90fd\u6bd4\u4ed6\u6e05\u695a&#xff1a;\u03b5&#xff0c;\u4f60\u770b&#xff0c;latex\u8fde\u72d7&#xff08;\u641c\u72d7\u8f93\u5165\u6cd5&#xff09;\u90fd\u4e0d\u5982&#xff0c;\u771f\u8def\u8fb9\u4e00\u6761\u3002<br \/>\n&#xff01;&#xff01;&#xff01;\u672c\u6b21\u5bf9latex\u516c\u5f0f\u7f16\u8f91\u5668\u7684\u5410\u69fd\u4ec5\u4ec5\u662f\u56e0\u4e3a\u6211\u7535\u8111\u4e0d\u884c&#xff0c;\u6216\u8005\u6211\u4eba\u957f\u5f97\u592a\u4e11\u4e86\u5bfc\u81f4\u7684&#xff0c;\u4e0e\u539flatex\u516c\u5f0f\u7f16\u8f91\u5668\u65e0\u5173&#xff01;&#xff01;&#xff01;&#xff08;\u4fdd\u547d\u58f0\u660e&#xff09;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e4b\u524d\u673a\u5668\u5b66\u4e60\u5165\u95e801\u6211\u4eec\u804a\u4e86\u5165\u95e8\u7b2c\u4e00\u4e2a\u5b66\u4e60\u7684KNN\u7b97\u6cd5&#xff0c;\u800cKNN\u7b97\u6cd5\u662f\u5904\u7406\u5206\u7c7b\u95ee\u9898\u7684&#xff0c;\u90a3\u4e48\u4eca\u5929\u5c31\u6765\u89e3\u9501\u65b0\u624b\u63a5\u89e6\u7684\u7b2c\u4e00\u4e2a\u56de\u5f52\u7b97\u6cd5\u2014\u2014\u7ebf\u6027\u56de\u5f52\u3002\u7ebf\u6027\u56de\u5f52\u53ef\u4ee5\u8bf4\u662f\u673a\u5668\u5b66\u4e60\u7684\u201c\u57fa\u77f3\u7ea7\u7b97\u6cd5\u201d&#xff0c;\u6ca1\u6709\u590d\u6742\u7684\u7f51\u7edc\u7ed3\u6784\u3001\u6ca1\u6709\u96be\u7406\u89e3\u7684\u6fc0\u6d3b\u51fd\u6570&#xff0c;\u6838\u5fc3\u5c31\u662f\u201c\u7528\u4e00\u6761\u76f4\u7ebf&#xff08;\u6216\u5e73\u9762&#xff09;\u62df\u5408\u6570\u636e\u201d&#xff0c;\u5b66\u4e60\u7ebf\u6027\u56de\u5f52\u7b97\u6cd5\u65e2\u80fd\u5e2e\u6211\u4eec\u5feb\u901f\u638c\u63e1\u673a\u5668\u5b66\u4e60\u7684\u6838\u5fc3\u903b\u8f91&#xff08;\u7279\u5f81\u3001\u53c2\u6570\u3001\u635f\u5931\u3001\u4f18\u5316&#xff09;&amp;#xff<\/p>\n","protected":false},"author":2,"featured_media":71007,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[3684,371,207],"topic":[],"class_list":["post-71027","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-3684","tag-371","tag-207"],"yoast_head":"<!-- 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