{"id":84381,"date":"2026-07-26T12:25:48","date_gmt":"2026-07-26T04:25:48","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/84381.html"},"modified":"2026-07-26T12:25:48","modified_gmt":"2026-07-26T04:25:48","slug":"%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0-%e7%ae%97%e6%b3%95%e6%a8%a1%e5%9e%8b%e7%b3%bb%e5%88%97%e6%96%87%e7%ab%a0%ef%bc%9a04-knn-%e4%b8%8d%e5%81%9a%e6%a0%87%e5%87%86%e5%8c%96%e5%b0%b1%e8%b7%91knn%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/84381.html","title":{"rendered":"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c"},"content":{"rendered":"<h2>\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81&#034;\u72ec\u88c1&#034;<\/h2>\n<\/p>\n<h4>\u76ee\u5f55<\/h4>\n<ul>\n<li>\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81&#034;\u72ec\u88c1&#034;<\/li>\n<li>\n<ul>\n<li>\u4e00\u3001\u4ece&#034;\u9009\u7535\u5f71&#034;\u8bf4\u8d77&#xff1a;KNN\u7684\u6734\u7d20\u76f4\u89c9<\/li>\n<li>\u4e8c\u3001\u8ddd\u79bb\u600e\u4e48\u7b97&#xff1a;\u4ece\u4e24\u70b9\u516c\u5f0f\u5230n\u7ef4\u7a7a\u95f4<\/li>\n<li>\u4e09\u30015\u74f6\u8461\u8404\u9152&#xff0c;\u4e00\u5f20\u8349\u7a3f\u7eb8&#xff1a;\u624b\u7b97KNN\u5168\u8fc7\u7a0b<\/li>\n<li>\u56db\u3001\u628a\u9152\u7cbe\u542b\u91cf\u653e\u592710\u500d&#xff1a;\u4e00\u4e2a\u7279\u5f81\u7684&#034;\u72ec\u88c1&#034;\u73b0\u573a<\/li>\n<li>\u4e94\u3001\u4e24\u79cd\u6807\u51c6\u5316&#xff1a;min-max\u4e0eZ-score<\/li>\n<li>\n<ul>\n<li>5.1 min-max\u6807\u51c6\u5316&#xff08;\u79bb\u5dee\u6807\u51c6\u5316&#xff09;<\/li>\n<li>5.2 Z-score\u6807\u51c6\u5316&#xff08;\u5747\u503c\u5f52\u4e00\u5316&#xff09;<\/li>\n<li>5.3 \u600e\u4e48\u9009&#xff1f;\u4e00\u5f20\u8868\u8bf4\u6e05<\/li>\n<\/ul>\n<\/li>\n<li>\u516d\u3001sklearn\u5b9e\u6218&#xff1a;wine\u6570\u636e\u96c6\u4e0a\u7684\u5bf9\u6bd4\u5b9e\u9a8c<\/li>\n<li>\u4e03\u3001K\u503c\u600e\u4e48\u9009&#xff1a;GridSearchCV\u8c03\u53c2\u66f2\u7ebf<\/li>\n<li>\u516b\u3001KNN\u7684\u4f18\u7f3a\u70b9\u3001\u9002\u7528\u573a\u666f&#xff0c;\u4ee5\u53ca2026\u5e74\u8fd8\u5b66\u5b83\u5e72\u561b<\/li>\n<li>\u4e5d\u3001\u8e29\u5751\u5b9e\u5f55&#xff1a;\u65b0\u624b\u6700\u5bb9\u6613\u72af\u76844\u4e2a\u9519\u8bef<\/li>\n<li>\u5341\u3001\u53c2\u8003\u8d44\u6599<\/li>\n<li>\u5341\u4e00\u3001\u4e92\u52a8\u5f15\u5bfc<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726042546-6a658c4a026a7.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>&#x1f4cc; \u7f6e\u9876\u63d0\u793a&#xff5c;\u8bfb\u5b8c\u4f60\u80fd\u5e26\u8d70\u4ec0\u4e48<\/p>\n<li>\u5f92\u624b\u7b97\u4e00\u904dKNN&#xff1a;5\u74f6\u8461\u8404\u9152\u3001\u4e00\u5f20\u8349\u7a3f\u7eb8&#xff0c;\u628a&#034;\u8ddd\u79bb\u6392\u5e8f\u2192\u6295\u7968\u5224\u7c7b&#034;\u7684\u5b8c\u6574\u94fe\u6761\u8d70\u901a&#xff0c;\u4ece\u6b64\u770bKNN\u4e0d\u518d\u662f\u9ed1\u76d2&#xff1b;<\/li>\n<li>\u4eb2\u773c\u89c1\u8bc1\u4e00\u6b21\u7279\u5f81&#034;\u72ec\u88c1&#034;\u4e8b\u6545&#xff1a;\u5728wine\u6570\u636e\u96c6\u4e0a\u590d\u73b0&#034;\u4e0d\u6807\u51c6\u5316\u51c6\u786e\u73870.72\u3001\u6807\u51c6\u5316\u540e0.94&#034;\u7684\u771f\u5b9e\u5bf9\u6bd4&#xff0c;\u5e76\u641e\u61c2min-max\u548cZ-score\u8be5\u5728\u4ec0\u4e48\u65f6\u5019\u7528\u54ea\u4e2a&#xff1b;<\/li>\n<li>\u5b66\u4f1a\u7528GridSearchCV\u753bK\u503c\u8c03\u53c2\u66f2\u7ebf&#xff0c;\u56de\u7b54&#034;K\u5230\u5e95\u53d6\u51e0&#034;\u8fd9\u4e2a\u9762\u8bd5\u9ad8\u9891\u9898\u3002 \u9884\u8ba1\u9605\u8bfb\u65f6\u95f4&#xff1a;15~18\u5206\u949f<\/li>\n<p>\u672c\u6587\u662f\u300a\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u300b\u7b2c 4 \u7bc7\u3002\u4e0a\u4e00\u7bc7&#xff08;\u672c\u7cfb\u5217\u7b2c3\u7bc7&#xff09;\u6211\u4eec\u8bb2\u4e86\u903b\u8f91\u56de\u5f52\u2014\u2014\u4e00\u4e2a\u9760\u5b66\u4e60\u6743\u91cd\u53c2\u6570\u6765\u753b\u51b3\u7b56\u8fb9\u754c\u7684\u6a21\u578b\u3002\u8fd9\u4e00\u7bc7\u7684\u4e3b\u89d2KNN\u753b\u98ce\u5b8c\u5168\u4e0d\u540c&#xff1a;\u5b83\u538b\u6839\u4e0d\u5b66\u4efb\u4f55\u53c2\u6570&#xff0c;\u9760&#034;\u6284\u90bb\u5c45\u4f5c\u4e1a&#034;\u5c31\u80fd\u505a\u5206\u7c7b\u3002\u4f46\u6b63\u56e0\u4e3a\u5b83\u5168\u9760\u8ddd\u79bb\u8bf4\u8bdd&#xff0c;\u4e00\u65e6\u67d0\u4e2a\u7279\u5f81\u7684\u6570\u503c\u91cf\u7ea7\u78be\u538b\u5176\u4ed6\u7279\u5f81&#xff0c;\u6574\u4e2a\u6a21\u578b\u5c31\u4f1a\u88ab\u8fd9\u4e2a\u7279\u5f81\u7ed1\u67b6\u2014\u2014\u8fd9\u5c31\u662f\u6807\u9898\u91cc\u8bf4\u7684&#034;\u72ec\u88c1&#034;\u3002\u8fd9\u7bc7\u6587\u7ae0\u4f1a\u5e26\u4f60\u4eb2\u773c\u770b\u5230\u72ec\u88c1\u73b0\u573a&#xff0c;\u518d\u4eb2\u624b\u628a\u5b83\u6380\u7ffb\u3002<\/p>\n<h3>\u4e00\u3001\u4ece&#034;\u9009\u7535\u5f71&#034;\u8bf4\u8d77&#xff1a;KNN\u7684\u6734\u7d20\u76f4\u89c9<\/h3>\n<p>K\u8fd1\u90bb\u7b97\u6cd5&#xff08;K-Nearest Neighbors&#xff0c;\u7b80\u79f0KNN&#xff09;\u53ef\u80fd\u662f\u6240\u6709\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u91cc\u6700\u7b26\u5408\u4eba\u7c7b\u76f4\u89c9\u7684\u4e00\u4e2a\u3002\u5b83\u7684\u6838\u5fc3\u601d\u60f3\u4e00\u53e5\u8bdd\u5c31\u80fd\u8bf4\u5b8c&#xff1a;\u5728\u5df2\u6709\u6570\u636e\u4e2d\u5bfb\u627e\u4e0e\u65b0\u6837\u672c\u6700\u76f8\u4f3c&#xff08;\u79bb\u5b83\u6700\u8fd1&#xff09;\u7684K\u4e2a\u6570\u636e&#xff0c;\u8fd9K\u4e2a\u6570\u636e\u91cc\u54ea\u4e2a\u7c7b\u522b\u5360\u591a\u6570&#xff0c;\u65b0\u6837\u672c\u5c31\u5224\u4e3a\u54ea\u4e2a\u7c7b\u522b\u3002<\/p>\n<p>\u8bf4\u767d\u4e86\u5c31\u662f&#034;\u7269\u4ee5\u7c7b\u805a&#034;&#xff1a;\u4f60\u60f3\u77e5\u9053\u4e00\u4e2a\u4eba\u7231\u4e0d\u7231\u6253\u6e38\u620f&#xff0c;\u770b\u770b\u4ed6\u6700\u5e38\u6df7\u5728\u4e00\u8d77\u7684\u51e0\u4e2a\u670b\u53cb\u5c31\u5927\u6982\u77e5\u9053\u4e86\u3002<\/p>\n<p>\u62ff\u4e00\u4e2a\u7ecf\u5178\u7684\u7535\u5f71\u5206\u7c7b\u4f8b\u5b50\u6765\u8bf4\u3002\u5047\u8bbe\u5e73\u9762\u4e0a\u6563\u843d\u7740\u4e24\u7c7b\u70b9&#xff1a;\u4e94\u89d2\u661f\u4ee3\u8868\u7231\u60c5\u7247&#xff0c;\u4e09\u89d2\u5f62\u4ee3\u8868\u79d1\u5e7b\u7247&#xff0c;\u6bcf\u90e8\u7535\u5f71\u6309&#034;\u6253\u6597\u955c\u5934\u6570&#034;\u548c&#034;\u63a5\u543b\u955c\u5934\u6570&#034;\u4e24\u4e2a\u7279\u5f81\u843d\u5728\u5750\u6807\u7cfb\u91cc\u3002\u73b0\u5728\u6765\u4e86\u4e00\u90e8\u65b0\u7535\u5f71&#xff08;\u4e00\u4e2a\u6b63\u65b9\u5f62\u7684\u70b9&#xff09;&#xff0c;\u5b83\u662f\u7231\u60c5\u7247\u8fd8\u662f\u79d1\u5e7b\u7247&#xff1f;<\/p>\n<p>KNN\u7684\u505a\u6cd5\u662f\u753b\u4e2a\u5708&#xff0c;\u770b\u65b0\u6837\u672c\u8eab\u8fb9\u6700\u8fd1\u7684K\u4e2a\u70b9&#xff1a;<\/p>\n<ul>\n<li>\u53d6K&#061;3&#xff1a;\u79bb\u65b0\u6837\u672c\u6700\u8fd1\u76843\u4e2a\u70b9\u91cc&#xff0c;\u67091\u4e2a\u4e94\u89d2\u661f\u30012\u4e2a\u4e09\u89d2\u5f62\u3002\u5c11\u6570\u670d\u4ece\u591a\u6570&#xff0c;\u4e09\u89d2\u5f62\u8d62&#xff0c;\u65b0\u7535\u5f71\u5224\u4e3a\u79d1\u5e7b\u7247&#xff1b;<\/li>\n<li>\u53d6K&#061;5&#xff1a;\u628a\u5708\u518d\u6269\u5927\u4e00\u70b9&#xff0c;\u6700\u8fd1\u76845\u4e2a\u70b9\u53d8\u6210\u4e863\u4e2a\u4e94\u89d2\u661f\u30012\u4e2a\u4e09\u89d2\u5f62\u3002\u8fd9\u56de\u4e94\u89d2\u661f\u53cd\u8d85&#xff0c;\u540c\u4e00\u90e8\u7535\u5f71\u53c8\u88ab\u5224\u6210\u4e86\u7231\u60c5\u7247\u3002<\/li>\n<\/ul>\n<p>\u540c\u4e00\u4e2a\u6837\u672c\u3001\u540c\u4e00\u6279\u6570\u636e&#xff0c;K\u4ece3\u53d8\u52305&#xff0c;\u7ed3\u8bba\u76f4\u63a5\u7ffb\u8f6c\u3002\u8fd9\u4e2a\u4f8b\u5b50\u60f3\u544a\u8bc9\u4f60\u4e24\u4ef6\u4e8b&#xff1a;\u4e00\u662fKNN\u7684\u5224\u7c7b\u673a\u5236\u5c31\u662f\u8fd9\u4e48\u6734\u7d20\u7684\u6295\u7968&#xff1b;\u4e8c\u662fK\u4e0d\u662f\u968f\u4fbf\u62cd\u8111\u888b\u5b9a\u7684&#xff0c;\u5b83\u76f4\u63a5\u5de6\u53f3\u9884\u6d4b\u7ed3\u679c\u2014\u2014\u8fd9\u4e2a\u5751\u6211\u4eec\u5728\u7b2c\u4e03\u8282\u7528\u8c03\u53c2\u66f2\u7ebf\u4e13\u95e8\u89e3\u51b3\u3002<\/p>\n<p>\u6574\u4e2a\u9884\u6d4b\u6d41\u7a0b\u53ef\u4ee5\u753b\u6210\u4e00\u5f20\u56fe&#xff1a;<\/p>\n<p>  #mermaid-svg-NkvybSRxKzJTblrd{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}@keyframes edge-animation-frame{from{stroke-dashoffset:0;}}@keyframes dash{to{stroke-dashoffset:0;}}#mermaid-svg-NkvybSRxKzJTblrd .edge-animation-slow{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 50s linear infinite;stroke-linecap:round;}#mermaid-svg-NkvybSRxKzJTblrd .edge-animation-fast{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 20s linear infinite;stroke-linecap:round;}#mermaid-svg-NkvybSRxKzJTblrd .error-icon{fill:#552222;}#mermaid-svg-NkvybSRxKzJTblrd .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-NkvybSRxKzJTblrd .edge-thickness-normal{stroke-width:1px;}#mermaid-svg-NkvybSRxKzJTblrd .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-NkvybSRxKzJTblrd .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-NkvybSRxKzJTblrd .edge-thickness-invisible{stroke-width:0;fill:none;}#mermaid-svg-NkvybSRxKzJTblrd .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-NkvybSRxKzJTblrd .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-NkvybSRxKzJTblrd .marker{fill:#333333;stroke:#333333;}#mermaid-svg-NkvybSRxKzJTblrd .marker.cross{stroke:#333333;}#mermaid-svg-NkvybSRxKzJTblrd svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-NkvybSRxKzJTblrd p{margin:0;}#mermaid-svg-NkvybSRxKzJTblrd .label{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;color:#333;}#mermaid-svg-NkvybSRxKzJTblrd .cluster-label text{fill:#333;}#mermaid-svg-NkvybSRxKzJTblrd .cluster-label span{color:#333;}#mermaid-svg-NkvybSRxKzJTblrd .cluster-label span p{background-color:transparent;}#mermaid-svg-NkvybSRxKzJTblrd .label text,#mermaid-svg-NkvybSRxKzJTblrd span{fill:#333;color:#333;}#mermaid-svg-NkvybSRxKzJTblrd .node rect,#mermaid-svg-NkvybSRxKzJTblrd .node circle,#mermaid-svg-NkvybSRxKzJTblrd .node ellipse,#mermaid-svg-NkvybSRxKzJTblrd .node polygon,#mermaid-svg-NkvybSRxKzJTblrd .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-NkvybSRxKzJTblrd .rough-node .label text,#mermaid-svg-NkvybSRxKzJTblrd .node .label text,#mermaid-svg-NkvybSRxKzJTblrd .image-shape .label,#mermaid-svg-NkvybSRxKzJTblrd .icon-shape .label{text-anchor:middle;}#mermaid-svg-NkvybSRxKzJTblrd .node .katex path{fill:#000;stroke:#000;stroke-width:1px;}#mermaid-svg-NkvybSRxKzJTblrd .rough-node .label,#mermaid-svg-NkvybSRxKzJTblrd .node .label,#mermaid-svg-NkvybSRxKzJTblrd .image-shape .label,#mermaid-svg-NkvybSRxKzJTblrd .icon-shape .label{text-align:center;}#mermaid-svg-NkvybSRxKzJTblrd .node.clickable{cursor:pointer;}#mermaid-svg-NkvybSRxKzJTblrd .root .anchor path{fill:#333333!important;stroke-width:0;stroke:#333333;}#mermaid-svg-NkvybSRxKzJTblrd .arrowheadPath{fill:#333333;}#mermaid-svg-NkvybSRxKzJTblrd .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-NkvybSRxKzJTblrd .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-NkvybSRxKzJTblrd .edgeLabel{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-NkvybSRxKzJTblrd .edgeLabel p{background-color:rgba(232,232,232, 0.8);}#mermaid-svg-NkvybSRxKzJTblrd .edgeLabel rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-NkvybSRxKzJTblrd .labelBkg{background-color:rgba(232, 232, 232, 0.5);}#mermaid-svg-NkvybSRxKzJTblrd .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-NkvybSRxKzJTblrd .cluster text{fill:#333;}#mermaid-svg-NkvybSRxKzJTblrd .cluster span{color:#333;}#mermaid-svg-NkvybSRxKzJTblrd div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:12px;background:hsl(80, 100%, 96.2745098039%);border:1px solid #aaaa33;border-radius:2px;pointer-events:none;z-index:100;}#mermaid-svg-NkvybSRxKzJTblrd .flowchartTitleText{text-anchor:middle;font-size:18px;fill:#333;}#mermaid-svg-NkvybSRxKzJTblrd rect.text{fill:none;stroke-width:0;}#mermaid-svg-NkvybSRxKzJTblrd .icon-shape,#mermaid-svg-NkvybSRxKzJTblrd .image-shape{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-NkvybSRxKzJTblrd .icon-shape p,#mermaid-svg-NkvybSRxKzJTblrd .image-shape p{background-color:rgba(232,232,232, 0.8);padding:2px;}#mermaid-svg-NkvybSRxKzJTblrd .icon-shape .label rect,#mermaid-svg-NkvybSRxKzJTblrd .image-shape .label rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-NkvybSRxKzJTblrd .label-icon{display:inline-block;height:1em;overflow:visible;vertical-align:-0.125em;}#mermaid-svg-NkvybSRxKzJTblrd .node .label-icon path{fill:currentColor;stroke:revert;stroke-width:revert;}#mermaid-svg-NkvybSRxKzJTblrd :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}<\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u7c7b\u522b0\u5360\u591a\u6570<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u7c7b\u522b1\u5360\u591a\u6570<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"edgeLabel\"><\/p>\n<p>\u524d\u63d0<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u65b0\u6837\u672c\u5230\u6765<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u8ba1\u7b97\u65b0\u6837\u672c\u4e0e\u6240\u6709\u5df2\u77e5\u6837\u672c\u7684\u8ddd\u79bb<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u6309\u8ddd\u79bb\u4ece\u8fd1\u5230\u8fdc\u6392\u5e8f<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u53d6\u51fa\u6700\u8fd1\u7684K\u4e2a\u90bb\u5c45<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>K\u4e2a\u90bb\u5c45\u4e2d\u54ea\u4e2a\u7c7b\u522b\u5360\u591a\u6570?<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u65b0\u6837\u672c\u5224\u4e3a\u7c7b\u522b0<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u65b0\u6837\u672c\u5224\u4e3a\u7c7b\u522b1<\/p>\n<p><\/span><\/p>\n<p>         <span class=\"nodeLabel\"><\/p>\n<p>\u26a0\ufe0f \u5404\u7279\u5f81\u91cf\u7eb2\u76f8\u8fd1\u5426\u5219\u8ddd\u79bb\u4f1a\u88ab\u5927\u6570\u503c\u7279\u5f81\u72ec\u88c1<\/p>\n<p><\/span><\/p>\n<p>\u6ce8\u610f\u56fe\u91cc\u90a3\u4e2a\u865a\u7ebf\u8b66\u544a\u6846&#xff0c;\u5b83\u662f\u672c\u6587\u7684\u9898\u773c&#xff0c;\u7b2c\u56db\u8282\u4f1a\u6b63\u9762\u649e\u4e0a\u5b83\u3002<\/p>\n<p>\u53e6\u5916\u63d0\u4e00\u53e5&#xff1a;KNN\u5c5e\u4e8e\u60f0\u6027\u5b66\u4e60&#xff08;lazy learning&#xff09;\u3002\u903b\u8f91\u56de\u5f52\u8bad\u7ec3\u5b8c\u4f1a\u5f97\u5230\u4e00\u7ec4\u6743\u91cd&#xff0c;\u8bad\u7ec3\u6570\u636e\u53ef\u4ee5\u6254\u6389&#xff1b;KNN\u7684&#034;\u8bad\u7ec3&#034;\u5374\u4ec0\u4e48\u90fd\u4e0d\u7b97&#xff0c;\u5c31\u662f\u628a\u6570\u636e\u539f\u6837\u5b58\u8d77\u6765&#xff0c;\u6240\u6709\u8ba1\u7b97\u90fd\u63a8\u8fdf\u5230\u9884\u6d4b\u90a3\u4e00\u523b\u3002\u8fd9\u4e2a\u7279\u6027\u51b3\u5b9a\u4e86\u5b83\u8bad\u7ec3\u98de\u5feb\u3001\u9884\u6d4b\u504f\u6162&#xff0c;\u540e\u9762\u8bb2\u4f18\u7f3a\u70b9\u65f6\u4f60\u4f1a\u518d\u9047\u5230\u5b83\u3002<\/p>\n<h3>\u4e8c\u3001\u8ddd\u79bb\u600e\u4e48\u7b97&#xff1a;\u4ece\u4e24\u70b9\u516c\u5f0f\u5230n\u7ef4\u7a7a\u95f4<\/h3>\n<p>\u201c\u6700\u8fd1\u7684K\u4e2a\u90bb\u5c45\u201d\u2014\u2014\u90a3&#034;\u8fd1&#034;\u600e\u4e48\u5b9a\u4e49&#xff1f;KNN\u91cc\u6700\u5e38\u7528\u7684\u662f\u6b27\u6c0f\u8ddd\u79bb&#xff0c;\u4e5f\u5c31\u662f\u4f60\u521d\u4e2d\u5c31\u5b66\u8fc7\u7684\u4e24\u70b9\u95f4\u8ddd\u79bb\u516c\u5f0f\u3002<\/p>\n<p>\u4e8c\u7ef4\u7a7a\u95f4\u91cc&#xff0c;\u6837\u672cA\u7684\u4e24\u4e2a\u7279\u5f81\u503c\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         X<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         Y<\/p>\n<p>         1<\/p>\n<p>        )<\/p>\n<p>       (X_1, Y_1)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6837\u672cB\u7684\u4e24\u4e2a\u7279\u5f81\u503c\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         X<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>         Y<\/p>\n<p>         2<\/p>\n<p>        )<\/p>\n<p>       (X_2, Y_2)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e24\u4e2a\u6837\u672c\u7684\u8ddd\u79bb\u662f&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         d<\/p>\n<p>         (<\/p>\n<p>         A<\/p>\n<p>         ,<\/p>\n<p>         B<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            1<\/p>\n<p>           \u2212<\/p>\n<p>            X<\/p>\n<p>            2<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>            Y<\/p>\n<p>            1<\/p>\n<p>           \u2212<\/p>\n<p>            Y<\/p>\n<p>            2<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>        d(A, B) &#061; \\\\sqrt{(X_1 &#8211; X_2)^2 &#043; (Y_1 &#8211; Y_2)^2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.2561em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9839em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9439em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2561em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u51e0\u4f55\u4e0a\u770b&#xff0c;\u5c31\u662f\u628a\u4e24\u4e2a\u7279\u5f81\u7684\u5dee\u503c\u5f53\u4f5c\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e24\u6761\u76f4\u89d2\u8fb9&#xff0c;\u8ddd\u79bb\u5c31\u662f\u659c\u8fb9\u957f\u3002\u5b83\u53ea\u9002\u7528\u4e8e\u6837\u672c\u6070\u597d\u67092\u4e2a\u7279\u5f81\u53d8\u91cf\u7684\u60c5\u51b5\u3002<\/p>\n<p>\u5b9e\u9645\u4e1a\u52a1\u91cc\u7279\u5f81\u52a8\u8f84\u5341\u51e0\u4e2a\u3001\u51e0\u5341\u4e2a&#xff0c;\u6b64\u65f6\u628a\u516c\u5f0f\u63a8\u5e7f\u5230n\u7ef4\u7a7a\u95f4\u5373\u53ef&#xff1a;\u8bben\u7ef4\u7a7a\u95f4\u5185A\u70b9\u5750\u6807\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         X<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         X<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>         X<\/p>\n<p>         3<\/p>\n<p>        ,<\/p>\n<p>        \u2026<\/p>\n<p>        ,<\/p>\n<p>         X<\/p>\n<p>         n<\/p>\n<p>        )<\/p>\n<p>       (X_1, X_2, X_3, \\\\dots, X_n)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;B\u70b9\u5750\u6807\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        (<\/p>\n<p>         Y<\/p>\n<p>         1<\/p>\n<p>        ,<\/p>\n<p>         Y<\/p>\n<p>         2<\/p>\n<p>        ,<\/p>\n<p>         Y<\/p>\n<p>         3<\/p>\n<p>        ,<\/p>\n<p>        \u2026<\/p>\n<p>        ,<\/p>\n<p>         Y<\/p>\n<p>         n<\/p>\n<p>        )<\/p>\n<p>       (Y_1, Y_2, Y_3, \\\\dots, Y_n)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5219A\u3001B\u4e24\u70b9\u95f4\u7684\u6b27\u6c0f\u8ddd\u79bb\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         d<\/p>\n<p>         (<\/p>\n<p>         A<\/p>\n<p>         ,<\/p>\n<p>         B<\/p>\n<p>         )<\/p>\n<p>         &#061;<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            1<\/p>\n<p>           \u2212<\/p>\n<p>            Y<\/p>\n<p>            1<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            2<\/p>\n<p>           \u2212<\/p>\n<p>            Y<\/p>\n<p>            2<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           \u22ef<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            n<\/p>\n<p>           \u2212<\/p>\n<p>            Y<\/p>\n<p>            n<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>         &#061;<\/p>\n<p>            \u2211<\/p>\n<p>             i<\/p>\n<p>             &#061;<\/p>\n<p>             1<\/p>\n<p>            n<\/p>\n<p>           (<\/p>\n<p>            X<\/p>\n<p>            i<\/p>\n<p>           \u2212<\/p>\n<p>            Y<\/p>\n<p>            i<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>        d(A, B) &#061; \\\\sqrt{(X_1 &#8211; Y_1)^2 &#043; (X_2 &#8211; Y_2)^2 &#043; \\\\cdots &#043; (X_n &#8211; Y_n)^2} &#061; \\\\sqrt{\\\\sum_{i&#061;1}^{n}(X_i &#8211; Y_i)^2}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.2561em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9839em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9439em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2561em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.1568em;vertical-align: -1.2777em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8791em\"><span class=\"svg-align\" style=\"top: -5.1168em\"><span class=\"pstrut\" style=\"height: 5.1168em\"><\/span><span class=\"mord\" style=\"padding-left: 1.056em\"><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.6514em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><span class=\"\" style=\"top: -4.3em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.8391em\"><span class=\"pstrut\" style=\"height: 5.1168em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.742em;height: 3.1968em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u516c\u5f0f\u957f\u5f97\u5413\u4eba&#xff0c;\u672c\u8d28\u6ca1\u53d8&#xff1a;\u6bcf\u4e2a\u7279\u5f81\u5404\u81ea\u7b97\u5dee\u503c\u3001\u5e73\u65b9\u3001\u52a0\u8d77\u6765\u3001\u5f00\u6839\u53f7\u3002\u4f60\u53ef\u4ee5\u628a\u5b83\u60f3\u8c61\u6210\u5728n\u7ef4\u7a7a\u95f4\u91cc\u62c9\u4e00\u6839\u76f4\u7ebf\u7ef3\u5b50\u91cf\u957f\u5ea6\u3002<\/p>\n<p>\u76ef\u7740\u8fd9\u4e2a\u516c\u5f0f\u591a\u770b\u4e24\u773c&#xff0c;\u4f60\u5176\u5b9e\u5df2\u7ecf\u80fd\u9884\u611f\u5230\u5371\u9669\u4e86&#xff1a;\u6bcf\u4e2a\u7279\u5f81\u7684\u5dee\u503c\u662f\u5e73\u65b9\u540e\u76f4\u63a5\u76f8\u52a0\u7684\u3002\u5982\u679c\u67d0\u4e2a\u7279\u5f81\u7684\u6570\u503c\u5929\u751f\u6bd4\u522b\u4eba\u5927\u4e00\u4e2a\u6570\u91cf\u7ea7&#xff0c;\u5b83\u7684\u5e73\u65b9\u5dee\u5c31\u4f1a\u5927\u4e24\u4e2a\u6570\u91cf\u7ea7&#xff0c;\u6c42\u548c\u65f6\u5176\u4ed6\u7279\u5f81\u7684\u8d21\u732e\u76f4\u63a5\u88ab\u6df9\u6ca1\u2014\u2014\u8fd9\u5c31\u662f&#034;\u72ec\u88c1&#034;\u7684\u6570\u5b66\u6839\u6e90\u3002\u5148\u6309\u4e0b\u4e0d\u8868&#xff0c;\u6211\u4eec\u628a\u6b63\u5e38\u6d41\u7a0b\u8d70\u4e00\u904d\u3002<\/p>\n<h3>\u4e09\u30015\u74f6\u8461\u8404\u9152&#xff0c;\u4e00\u5f20\u8349\u7a3f\u7eb8&#xff1a;\u624b\u7b97KNN\u5168\u8fc7\u7a0b<\/h3>\n<p>\u73b0\u5728\u7528\u4e00\u4e2a&#034;\u5224\u65ad\u8461\u8404\u9152\u79cd\u7c7b&#034;\u7684\u4f8b\u5b50\u628aKNN\u7684\u8ba1\u7b97\u6b65\u9aa4\u5b8c\u6574\u8d70\u4e00\u904d\u3002\u5546\u4e1a\u5b9e\u6218\u4e2d\u8bc4\u5224\u8461\u8404\u9152\u7684\u6307\u6807\u5f88\u591a&#xff0c;\u4e3a\u4e86\u80fd\u5728\u8349\u7a3f\u7eb8\u4e0a\u7b97\u5b8c&#xff0c;\u8fd9\u91cc\u53ea\u7528&#034;\u9152\u7cbe\u542b\u91cf&#034;\u548c&#034;\u82f9\u679c\u9178\u542b\u91cf&#034;2\u4e2a\u7279\u5f81\u53d8\u91cf&#xff0c;\u628a\u8461\u8404\u9152\u5206\u4e3a2\u7c7b&#xff1a;\u5206\u7c7b0\u4ee3\u8868\u8461\u8404\u9152A&#xff0c;\u5206\u7c7b1\u4ee3\u8868\u8461\u8404\u9152B\u3002\u539f\u59cb\u6837\u672c\u53ea\u67095\u7ec4&#xff1a;<\/p>\n<table>\n<tr>\u6837\u672c\u9152\u7cbe\u542b\u91cf(%)\u82f9\u679c\u9178\u542b\u91cf(%)\u5206\u7c7b<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u6837\u672c1<\/td>\n<td align=\"center\">5<\/td>\n<td align=\"center\">2<\/td>\n<td align=\"center\">0&#xff08;\u8461\u8404\u9152A&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c2<\/td>\n<td align=\"center\">6<\/td>\n<td align=\"center\">1<\/td>\n<td align=\"center\">0&#xff08;\u8461\u8404\u9152A&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c3<\/td>\n<td align=\"center\">8<\/td>\n<td align=\"center\">3<\/td>\n<td align=\"center\">1&#xff08;\u8461\u8404\u9152B&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c4<\/td>\n<td align=\"center\">10<\/td>\n<td align=\"center\">2<\/td>\n<td align=\"center\">1&#xff08;\u8461\u8404\u9152B&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c5<\/td>\n<td align=\"center\">12<\/td>\n<td align=\"center\">1<\/td>\n<td align=\"center\">1&#xff08;\u8461\u8404\u9152B&#xff09;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u73b0\u5728\u6765\u4e86\u4e00\u4e2a\u65b0\u6837\u672c&#xff1a;\u9152\u7cbe\u542b\u91cf7%\u3001\u82f9\u679c\u9178\u542b\u91cf1%&#xff0c;\u5b83\u5c5e\u4e8e\u8461\u8404\u9152A\u8fd8\u662f\u8461\u8404\u9152B&#xff1f;<\/p>\n<p>\u7b2c\u4e00\u6b65&#xff0c;\u7528\u6b27\u6c0f\u8ddd\u79bb\u516c\u5f0f\u7b97\u65b0\u6837\u672c\u548c\u6bcf\u4e2a\u5df2\u77e5\u6837\u672c\u7684\u8ddd\u79bb&#xff0c;\u4e5f\u5c31\u662f\u4e0d\u540c\u6837\u672c\u95f4\u7684\u76f8\u4f3c\u5ea6\u3002\u4ee5\u6837\u672c1\u4e3a\u4f8b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         d<\/p>\n<p>         &#061;<\/p>\n<p>           (<\/p>\n<p>           7<\/p>\n<p>           \u2212<\/p>\n<p>           5<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>           2<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>         &#061;<\/p>\n<p>           4<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>         &#061;<\/p>\n<p>          5<\/p>\n<p>         \u2248<\/p>\n<p>         2.24<\/p>\n<p>        d &#061; \\\\sqrt{(7-5)^2 &#043; (1-2)^2} &#061; \\\\sqrt{4&#043;1} &#061; \\\\sqrt{5} \\\\approx 2.24<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.2561em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9839em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">5<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9439em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2561em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1256em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9144em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">4<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8744em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1256em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.0839em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9561em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -2.9161em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0839em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2.24<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u540c\u6837\u7684\u7b97\u6cd5\u5957\u5728\u5176\u4f594\u4e2a\u6837\u672c\u4e0a&#xff0c;5\u4e2a\u8ddd\u79bb\u5168\u90e8\u7b97\u51fa\u6765&#xff08;\u8fd9\u4e9b\u6570\u5b57\u6211\u90fd\u7528numpy\u9a8c\u7b97\u8fc7&#xff0c;\u4f60\u53ef\u4ee5\u653e\u5fc3\u8ddf\u7740\u8349\u7a3f\u7eb8\u6838\u5bf9&#xff09;&#xff1a;<\/p>\n<table>\n<tr>\u76ee\u6807\u8ba1\u7b97\u5f0f\u8ddd\u79bb<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c1<\/td>\n<td align=\"center\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             (<\/p>\n<p>             7<\/p>\n<p>             \u2212<\/p>\n<p>             5<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>             &#043;<\/p>\n<p>             (<\/p>\n<p>             1<\/p>\n<p>             \u2212<\/p>\n<p>             2<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>           &#061;<\/p>\n<p>            5<\/p>\n<p>          \\\\sqrt{(7-5)^2&#043;(1-2)^2}&#061;\\\\sqrt{5}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.305em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.935em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">5<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.895em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.305em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1328em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9072em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8672em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1328em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"center\">\u2248 2.24<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c2<\/td>\n<td align=\"center\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             (<\/p>\n<p>             7<\/p>\n<p>             \u2212<\/p>\n<p>             6<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>             &#043;<\/p>\n<p>             (<\/p>\n<p>             1<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>           &#061;<\/p>\n<p>            1<\/p>\n<p>          \\\\sqrt{(7-6)^2&#043;(1-1)^2}&#061;\\\\sqrt{1}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.305em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.935em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.895em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.305em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1328em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9072em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8672em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1328em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"center\">&#061; 1.00<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c3<\/td>\n<td align=\"center\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             (<\/p>\n<p>             7<\/p>\n<p>             \u2212<\/p>\n<p>             8<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>             &#043;<\/p>\n<p>             (<\/p>\n<p>             1<\/p>\n<p>             \u2212<\/p>\n<p>             3<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>           &#061;<\/p>\n<p>            5<\/p>\n<p>          \\\\sqrt{(7-8)^2&#043;(1-3)^2}&#061;\\\\sqrt{5}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.305em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.935em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.895em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.305em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1328em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9072em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8672em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1328em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"center\">\u2248 2.24<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c4<\/td>\n<td align=\"center\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             (<\/p>\n<p>             7<\/p>\n<p>             \u2212<\/p>\n<p>             10<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>             &#043;<\/p>\n<p>             (<\/p>\n<p>             1<\/p>\n<p>             \u2212<\/p>\n<p>             2<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>           &#061;<\/p>\n<p>            10<\/p>\n<p>          \\\\sqrt{(7-10)^2&#043;(1-2)^2}&#061;\\\\sqrt{10}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.305em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.935em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">10<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.895em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.305em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1328em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9072em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">10<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8672em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1328em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"center\">\u2248 3.16<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c5<\/td>\n<td align=\"center\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>             (<\/p>\n<p>             7<\/p>\n<p>             \u2212<\/p>\n<p>             12<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>             &#043;<\/p>\n<p>             (<\/p>\n<p>             1<\/p>\n<p>             \u2212<\/p>\n<p>             1<\/p>\n<p>              )<\/p>\n<p>              2<\/p>\n<p>           &#061;<\/p>\n<p>            25<\/p>\n<p>          \\\\sqrt{(7-12)^2&#043;(1-1)^2}&#061;\\\\sqrt{25}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.305em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.935em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">12<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.895em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.305em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1328em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9072em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">25<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8672em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1328em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"center\">&#061; 5.00<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7b2c\u4e8c\u6b65&#xff0c;\u6309\u8ddd\u79bb\u7531\u8fd1\u53ca\u8fdc\u6392\u5e8f&#xff1a;<\/p>\n<table>\n<tr>\u540d\u6b21\u6837\u672c\u8ddd\u79bb\u8be5\u6837\u672c\u7684\u5206\u7c7b<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">1<\/td>\n<td align=\"center\">\u6837\u672c2<\/td>\n<td align=\"center\">1.00<\/td>\n<td align=\"center\">0&#xff08;\u8461\u8404\u9152A&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">2&#xff08;\u5e76\u5217&#xff09;<\/td>\n<td align=\"center\">\u6837\u672c1<\/td>\n<td align=\"center\">2.24<\/td>\n<td align=\"center\">0&#xff08;\u8461\u8404\u9152A&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">2&#xff08;\u5e76\u5217&#xff09;<\/td>\n<td align=\"center\">\u6837\u672c3<\/td>\n<td align=\"center\">2.24<\/td>\n<td align=\"center\">1&#xff08;\u8461\u8404\u9152B&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">4<\/td>\n<td align=\"center\">\u6837\u672c4<\/td>\n<td align=\"center\">3.16<\/td>\n<td align=\"center\">1&#xff08;\u8461\u8404\u9152B&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">5<\/td>\n<td align=\"center\">\u6837\u672c5<\/td>\n<td align=\"center\">5.00<\/td>\n<td align=\"center\">1&#xff08;\u8461\u8404\u9152B&#xff09;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&#xff08;\u6837\u672c1\u548c\u6837\u672c3\u6070\u597d\u7b49\u8ddd&#xff0c;\u5b9e\u9645\u5de5\u7a0b\u91cc\u8fd9\u79cd\u5e76\u5217\u7531\u6392\u5e8f\u7684\u5148\u540e\u987a\u5e8f\u51b3\u5b9a\u8c01\u6392\u524d\u9762&#xff0c;\u5bf9\u672c\u4f8b\u7684\u7ed3\u8bba\u6ca1\u6709\u5f71\u54cd\u3002&#xff09;<\/p>\n<p>\u7b2c\u4e09\u6b65&#xff0c;\u53d6K\u4e2a\u90bb\u5c45\u6295\u7968&#xff1a;<\/p>\n<ul>\n<li>\u4ee4K&#061;1&#xff1a;\u53ea\u770b\u79bb\u5f97\u6700\u8fd1\u76841\u4e2a\u6837\u672c&#xff0c;\u4e5f\u5c31\u662f\u6837\u672c2&#xff0c;\u5b83\u7684\u5206\u7c7b\u662f0&#xff0c;\u6240\u4ee5\u65b0\u6837\u672c\u5224\u4e3a\u5206\u7c7b0&#xff0c;\u8461\u8404\u9152A&#xff1b;<\/li>\n<li>\u4ee4K&#061;3&#xff1a;\u6700\u8fd1\u76843\u4e2a\u6837\u672c\u662f\u6837\u672c2\u3001\u6837\u672c1\u3001\u6837\u672c3&#xff0c;\u5206\u7c7b\u5206\u522b\u662f0\u30010\u30011&#xff0c;\u5206\u7c7b0\u5c45\u591a&#xff0c;\u65b0\u6837\u672c\u4ecd\u5224\u4e3a\u5206\u7c7b0&#xff0c;\u8461\u8404\u9152A\u3002<\/li>\n<\/ul>\n<p>\u5230\u8fd9\u91cc&#xff0c;KNN\u7684\u5b8c\u6574\u8ba1\u7b97\u6b65\u9aa4\u4f60\u5df2\u7ecf\u5168\u90e8\u4eb2\u624b\u8d70\u8fc7\u4e00\u904d\u4e86&#xff1a;\u7b97\u8ddd\u79bb \u2192 \u6392\u5e8f \u2192 \u6295\u7968\u3002\u6ca1\u6709\u68af\u5ea6\u4e0b\u964d&#xff0c;\u6ca1\u6709\u635f\u5931\u51fd\u6570&#xff0c;\u5c31\u8fd9\u4e48\u76f4\u767d\u3002<\/p>\n<p>\u7528\u4ee3\u7801\u9a8c\u8bc1\u4e00\u4e0b\u8349\u7a3f\u7eb8\u4e0a\u7684\u7ed3\u679c&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np<\/p>\n<p><span class=\"token comment\"># 5\u4e2a\u5df2\u77e5\u6837\u672c&#xff1a;[\u9152\u7cbe\u542b\u91cf, \u82f9\u679c\u9178\u542b\u91cf]&#xff0c;\u6807\u7b7e0&#061;\u8461\u8404\u9152A&#xff0c;1&#061;\u8461\u8404\u9152B<\/span><br \/>\nX <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">12<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\ny <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\nnew <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>array<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u5f85\u5224\u7c7b\u7684\u65b0\u6837\u672c<\/span><\/p>\n<p>d <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>sqrt<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span>X <span class=\"token operator\">&#8211;<\/span> new<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">**<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span><span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>axis<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\"># \u4e00\u884c\u7b97\u51fa\u5168\u90e8\u6b27\u6c0f\u8ddd\u79bb<\/span><br \/>\norder <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>argsort<span class=\"token punctuation\">(<\/span>d<span class=\"token punctuation\">)<\/span>                        <span class=\"token comment\"># \u6309\u8ddd\u79bb\u4ece\u8fd1\u5230\u8fdc\u6392\u51fa\u6837\u672c\u4e0b\u6807<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> rank<span class=\"token punctuation\">,<\/span> idx <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">enumerate<\/span><span class=\"token punctuation\">(<\/span>order<span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u7b2c<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>rank<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\u8fd1: \u6837\u672c<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>idx<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u8ddd\u79bb&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>d<span class=\"token punctuation\">[<\/span>idx<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.2f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u5206\u7c7b&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>y<span class=\"token punctuation\">[<\/span>idx<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> K <span class=\"token keyword\">in<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    votes <span class=\"token operator\">&#061;<\/span> y<span class=\"token punctuation\">[<\/span>order<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span>K<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span>                     <span class=\"token comment\"># \u53d6\u6700\u8fd1K\u4e2a\u90bb\u5c45\u7684\u6807\u7b7e<\/span><br \/>\n    result <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>bincount<span class=\"token punctuation\">(<\/span>votes<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>argmax<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>     <span class=\"token comment\"># \u5c11\u6570\u670d\u4ece\u591a\u6570<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;K&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>K<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u65f6\u6295\u7968\u7ed3\u679c: \u5206\u7c7b<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>result<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8fd0\u884c\u8f93\u51fa&#xff1a;<\/span><br \/>\n<span class=\"token comment\"># \u7b2c1\u8fd1: \u6837\u672c2 \u8ddd\u79bb&#061;1.00 \u5206\u7c7b&#061;0<\/span><br \/>\n<span class=\"token comment\"># \u7b2c2\u8fd1: \u6837\u672c1 \u8ddd\u79bb&#061;2.24 \u5206\u7c7b&#061;0<\/span><br \/>\n<span class=\"token comment\"># \u7b2c3\u8fd1: \u6837\u672c3 \u8ddd\u79bb&#061;2.24 \u5206\u7c7b&#061;1<\/span><br \/>\n<span class=\"token comment\"># \u7b2c4\u8fd1: \u6837\u672c4 \u8ddd\u79bb&#061;3.16 \u5206\u7c7b&#061;1<\/span><br \/>\n<span class=\"token comment\"># \u7b2c5\u8fd1: \u6837\u672c5 \u8ddd\u79bb&#061;5.00 \u5206\u7c7b&#061;1<\/span><br \/>\n<span class=\"token comment\"># K&#061;1 \u65f6\u6295\u7968\u7ed3\u679c: \u5206\u7c7b0<\/span><br \/>\n<span class=\"token comment\"># K&#061;3 \u65f6\u6295\u7968\u7ed3\u679c: \u5206\u7c7b0<\/span><\/p>\n<p>\u7ed3\u8bba\u548c\u624b\u7b97\u5b8c\u5168\u4e00\u81f4\u3002\u76ee\u524d\u4e3a\u6b62\u4e00\u5207\u5c81\u6708\u9759\u597d\u2014\u2014\u56e0\u4e3a\u9152\u7cbe\u542b\u91cf\u548c\u82f9\u679c\u9178\u542b\u91cf\u90fd\u662f\u4e2a\u4f4d\u6570&#xff0c;\u4e24\u4e2a\u7279\u5f81\u7684\u91cf\u7eb2\u7ea7\u522b\u76f8\u5dee\u4e0d\u5927&#xff0c;\u8c01\u4e5f\u538b\u4e0d\u4f4f\u8c01\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u628a\u8fd9\u4efd\u5e73\u8861\u6253\u7834\u3002<\/p>\n<h3>\u56db\u3001\u628a\u9152\u7cbe\u542b\u91cf\u653e\u592710\u500d&#xff1a;\u4e00\u4e2a\u7279\u5f81\u7684&#034;\u72ec\u88c1&#034;\u73b0\u573a<\/h3>\n<p>\u8bbe\u60f3\u4e00\u4e2a\u975e\u5e38\u5e38\u89c1\u7684\u573a\u666f&#xff1a;\u6570\u636e\u6362\u4e86\u4e2a\u7edf\u8ba1\u53e3\u5f84&#xff0c;\u201c\u9152\u7cbe\u542b\u91cf&#034;\u7684\u6570\u503c\u90fd\u653e\u5927\u4e3a\u539f\u6765\u768410\u500d&#xff08;\u6bd4\u5982\u4ece&#034;\u767e\u5206\u6bd4&#034;\u6362\u6210\u4e86&#034;\u5343\u5206\u6bd4\u201d&#xff09;&#xff0c;&#034;\u82f9\u679c\u9178\u542b\u91cf&#034;\u4fdd\u6301\u4e0d\u53d8\u3002\u6570\u636e\u53d8\u6210\u4e86\u8fd9\u6837&#xff1a;<\/p>\n<table>\n<tr>\u6837\u672c\u9152\u7cbe\u542b\u91cf(\u2030)\u82f9\u679c\u9178\u542b\u91cf(%)\u5206\u7c7b<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u6837\u672c1<\/td>\n<td align=\"center\">50<\/td>\n<td align=\"center\">2<\/td>\n<td align=\"center\">0<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c2<\/td>\n<td align=\"center\">60<\/td>\n<td align=\"center\">1<\/td>\n<td align=\"center\">0<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c3<\/td>\n<td align=\"center\">80<\/td>\n<td align=\"center\">3<\/td>\n<td align=\"center\">1<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c4<\/td>\n<td align=\"center\">100<\/td>\n<td align=\"center\">2<\/td>\n<td align=\"center\">1<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u6837\u672c5<\/td>\n<td align=\"center\">120<\/td>\n<td align=\"center\">1<\/td>\n<td align=\"center\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e24\u4e2a\u7279\u5f81\u7684\u91cf\u7eb2\u7ea7\u522b\u4e00\u4e0b\u5b50\u62c9\u5f00\u4e86&#xff1a;\u4e00\u4e2a\u572850<sub>120\u4e4b\u95f4\u8e66\u8df6&#xff0c;\u4e00\u4e2a\u8fd8\u57281<\/sub>3\u4e4b\u95f4\u5f98\u5f8a\u3002\u6b64\u65f6\u5982\u679c\u76f4\u63a5\u62ff\u53bb\u642dKNN\u6a21\u578b&#xff0c;\u4f1a\u53d1\u751f\u4ec0\u4e48&#xff1f;<\/p>\n<p>\u5bf9\u5e94\u7684\u65b0\u6837\u672c\u53d8\u6210\u9152\u7cbe\u542b\u91cf70\u3001\u82f9\u679c\u9178\u542b\u91cf1&#xff0c;\u7b97\u4e00\u4e0b\u5b83\u4e0e\u6837\u672c1\u7684\u8ddd\u79bb&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         d<\/p>\n<p>         &#061;<\/p>\n<p>           (<\/p>\n<p>           70<\/p>\n<p>           \u2212<\/p>\n<p>           50<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>           &#043;<\/p>\n<p>           (<\/p>\n<p>           1<\/p>\n<p>           \u2212<\/p>\n<p>           2<\/p>\n<p>            )<\/p>\n<p>            2<\/p>\n<p>         &#061;<\/p>\n<p>           400<\/p>\n<p>           &#043;<\/p>\n<p>           1<\/p>\n<p>         &#061;<\/p>\n<p>          401<\/p>\n<p>         \u2248<\/p>\n<p>         20.02<\/p>\n<p>        d &#061; \\\\sqrt{(70-50)^2 &#043; (1-2)^2} &#061; \\\\sqrt{400 &#043; 1} &#061; \\\\sqrt{401} \\\\approx 20.02<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.24em;vertical-align: -0.2561em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9839em\"><span class=\"svg-align\" style=\"top: -3.2em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mopen\">(<\/span><span class=\"mord\">70<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">50<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7401em\"><span class=\"\" style=\"top: -2.989em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9439em\"><span class=\"pstrut\" style=\"height: 3.2em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 1.28em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2561em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.1256em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9144em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">400<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.8744em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1256em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.0839em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9561em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord\">401<\/span><\/span><\/span><span class=\"\" style=\"top: -2.9161em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/p>\n<p>            <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0839em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">20.02<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u770b\u6e05\u695a\u8fd9\u7b14\u8d26&#xff1a;\u9152\u7cbe\u542b\u91cf\u8d21\u732e\u4e86400&#xff0c;\u82f9\u679c\u9178\u542b\u91cf\u53ea\u8d21\u732e\u4e861\u3002\u8fd9\u4e2a\u8ddd\u79bb\u51e0\u4e4e\u5b8c\u5168\u7531\u9152\u7cbe\u542b\u91cf\u4e3b\u5bfc&#xff0c;\u82f9\u679c\u9178\u542b\u91cf\u56e0\u4e3a\u91cf\u7eb2\u7ea7\u522b\u76f8\u5dee\u8f83\u5927&#xff0c;\u51e0\u4e4e\u4e0d\u53d1\u6325\u4f5c\u7528\u3002 \u4f60\u7b97\u4e0d\u7b97\u5b83&#xff0c;\u8ddd\u79bb\u90fd\u662f20\u5de6\u53f3\u2014\u2014\u82f9\u679c\u9178\u8fd9\u4e2a\u7279\u5f81\u7b49\u4e8e\u88ab\u5f00\u9664\u4e86\u3002\u201c\u9152\u7cbe\u542b\u91cf&#034;\u5728\u6a21\u578b\u4e2d\u7684\u91cd\u8981\u6027\u8fdc\u8fdc\u8d85\u8fc7&#034;\u82f9\u679c\u9178\u542b\u91cf\u201d&#xff0c;\u540e\u8005\u8fd9\u4e00\u7279\u5f81\u53d8\u91cf\u7684\u4f5c\u7528\u5c31\u6b64\u4e27\u5931&#xff0c;\u9884\u6d4b\u7ed3\u679c\u81ea\u7136\u6709\u5931\u504f\u9887\u3002<\/p>\n<p>\u66f4\u9690\u853d\u7684\u4f24\u5bb3\u5728\u6392\u5e8f\u4e0a\u3002\u628a5\u4e2a\u8ddd\u79bb\u90fd\u7b97\u51fa\u6765\u5bf9\u6bd4\u4e00\u4e0b&#xff1a;<\/p>\n<table>\n<tr>\u76ee\u6807\u539f\u59cb\u6570\u636e\u7684\u8ddd\u79bb\u653e\u592710\u500d\u540e\u7684\u8ddd\u79bb<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c1<\/td>\n<td align=\"center\">2.24&#xff08;\u5e76\u5217\u7b2c2\u8fd1&#xff09;<\/td>\n<td align=\"center\">20.02&#xff08;\u8dcc\u5230\u7b2c3\u8fd1&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c2<\/td>\n<td align=\"center\">1.00&#xff08;\u7b2c1\u8fd1&#xff09;<\/td>\n<td align=\"center\">10.00&#xff08;\u7b2c1\u8fd1&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c3<\/td>\n<td align=\"center\">2.24&#xff08;\u5e76\u5217\u7b2c2\u8fd1&#xff09;<\/td>\n<td align=\"center\">10.20&#xff08;\u5347\u5230\u7b2c2\u8fd1&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c4<\/td>\n<td align=\"center\">3.16<\/td>\n<td align=\"center\">30.02<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u6837\u672c \u2192 \u6837\u672c5<\/td>\n<td align=\"center\">5.00<\/td>\n<td align=\"center\">50.00<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u539f\u59cb\u6570\u636e\u91cc&#xff0c;\u6837\u672c1\u548c\u6837\u672c3\u4e0e\u65b0\u6837\u672c\u7b49\u8ddd&#xff0c;\u82f9\u679c\u9178\u542b\u91cf\u7684\u5dee\u5f02\u662f\u6709\u8bdd\u8bed\u6743\u7684&#xff1b;\u653e\u5927\u4e4b\u540e&#xff0c;\u6837\u672c1&#xff08;\u9152\u7cbe\u5dee20&#xff09;\u88ab\u6837\u672c3&#xff08;\u9152\u7cbe\u5dee10&#xff09;\u8fdc\u8fdc\u7529\u5f00&#xff0c;\u90bb\u5c45\u7684\u540d\u6b21\u5b8c\u5168\u6309\u9152\u7cbe\u542b\u91cf\u7684\u5dee\u503c\u91cd\u6392&#xff0c;\u82f9\u679c\u9178\u542b\u91cf\u5f7b\u5e95\u5931\u58f0\u3002\u672c\u4f8b\u4e2d\u6295\u7968\u7ed3\u679c\u4fa5\u5e78\u6ca1\u53d8&#xff0c;\u4f46\u53ea\u8981\u6570\u636e\u518d\u591a\u4e00\u70b9\u3001\u7c7b\u522b\u5206\u5e03\u518d\u72ac\u7259\u4ea4\u9519\u4e00\u70b9&#xff0c;\u8fd9\u79cd\u540d\u6b21\u91cd\u6392\u5c31\u4f1a\u76f4\u63a5\u6539\u5199\u9884\u6d4b\u7ed3\u679c\u3002<\/p>\n<p>\u8fd9\u5c31\u662f&#034;\u72ec\u88c1&#034;\u7684\u5b8c\u6574\u73b0\u573a&#xff1a;\u4e0d\u662f\u9152\u7cbe\u542b\u91cf\u8fd9\u4e2a\u7279\u5f81\u6709\u591a\u91cd\u8981&#xff0c;\u800c\u662f\u5b83\u7684\u6570\u503c\u91cf\u7ea7\u5927&#xff0c;\u5c31\u62a2\u8d70\u4e86\u5168\u90e8\u8bdd\u8bed\u6743\u3002\u6a21\u578b\u6ca1\u62a5\u9519\u3001\u4ee3\u7801\u6b63\u5e38\u8dd1\u3001\u51c6\u786e\u7387\u4e5f\u80fd\u8f93\u51fa\u2014\u2014\u53ea\u662f\u6084\u6084\u53d8\u6210\u4e86\u4e00\u4e2a&#034;\u53ea\u770b\u9152\u7cbe\u542b\u91cf\u7684KNN&#034;\u3002\u8fd9\u7c7b\u9759\u9ed8\u5931\u6548\u6bd4\u62a5\u9519\u53ef\u6015\u5f97\u591a\u3002<\/p>\n<p>\u5982\u679c\u4e0d\u540c\u7279\u5f81\u53d8\u91cf\u7684\u91cf\u7eb2\u7ea7\u522b\u76f8\u5dee\u8f83\u5927\u3001\u4e14\u5728\u5efa\u6a21\u65f6\u76f8\u4e92\u5f71\u54cd&#xff08;KNN\u3001K-Means\u3001SVM\u8fd9\u7c7b\u9760\u8ddd\u79bb\u5403\u996d\u7684\u7b97\u6cd5\u5168\u4e2d\u62db&#xff09;&#xff0c;\u5c31\u5fc5\u987b\u5148\u505a\u6570\u636e\u9884\u5904\u7406\u3002\u8fd9\u4e2a\u624b\u6bb5\u53eb\u6570\u636e\u6807\u51c6\u5316&#xff0c;\u4e5f\u53eb\u6570\u636e\u5f52\u4e00\u5316\u3002<\/p>\n<h3>\u4e94\u3001\u4e24\u79cd\u6807\u51c6\u5316&#xff1a;min-max\u4e0eZ-score<\/h3>\n<p>\u6570\u636e\u6807\u51c6\u5316\u7684\u5e38\u89c1\u65b9\u6cd5\u6709\u4e24\u79cd&#xff1a;min-max\u6807\u51c6\u5316\u548cZ-score\u6807\u51c6\u5316\u3002<\/p>\n<h4>5.1 min-max\u6807\u51c6\u5316&#xff08;\u79bb\u5dee\u6807\u51c6\u5316&#xff09;<\/h4>\n<p>\u628a\u6bcf\u4e2a\u7279\u5f81\u7ebf\u6027\u538b\u7f29\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        0<\/p>\n<p>        ,<\/p>\n<p>        1<\/p>\n<p>        ]<\/p>\n<p>       [0, 1]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span> \u533a\u95f4&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          x<\/p>\n<p>          \u2032<\/p>\n<p>         &#061;<\/p>\n<p>           x<\/p>\n<p>           \u2212<\/p>\n<p>            x<\/p>\n<p>             m<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>            x<\/p>\n<p>             m<\/p>\n<p>             a<\/p>\n<p>             x<\/p>\n<p>           \u2212<\/p>\n<p>            x<\/p>\n<p>             m<\/p>\n<p>             i<\/p>\n<p>             n<\/p>\n<p>        x&#039; &#061; \\\\frac{x &#8211; x_{min}}{x_{max} &#8211; x_{min}}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0963em;vertical-align: -0.836em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">ma<\/span><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">min<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">min<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>       x_{min}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">min<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>          m<\/p>\n<p>          a<\/p>\n<p>          x<\/p>\n<p>       x_{max}<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">ma<\/span><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5206\u522b\u662f\u8be5\u7279\u5f81\u5728\u8bad\u7ec3\u96c6\u91cc\u7684\u6700\u5c0f\u503c\u548c\u6700\u5927\u503c\u3002\u62ff\u653e\u5927\u540e\u7684\u9152\u7cbe\u542b\u91cf\u5217 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        50<\/p>\n<p>        ,<\/p>\n<p>        60<\/p>\n<p>        ,<\/p>\n<p>        80<\/p>\n<p>        ,<\/p>\n<p>        100<\/p>\n<p>        ,<\/p>\n<p>        120<\/p>\n<p>        ]<\/p>\n<p>       [50, 60, 80, 100, 120]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">50<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">60<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">80<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">100<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">120<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span> \u5957\u4e00\u4e0b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>          m<\/p>\n<p>          i<\/p>\n<p>          n<\/p>\n<p>        &#061;<\/p>\n<p>        50<\/p>\n<p>       x_{min}&#061;50<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">min<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">50<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         x<\/p>\n<p>          m<\/p>\n<p>          a<\/p>\n<p>          x<\/p>\n<p>        &#061;<\/p>\n<p>        120<\/p>\n<p>       x_{max}&#061;120<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">ma<\/span><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">120<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6781\u5dee70&#xff0c;\u53d8\u6362\u540e\u5f97\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        0<\/p>\n<p>        ,<\/p>\n<p>        0.143<\/p>\n<p>        ,<\/p>\n<p>        0.429<\/p>\n<p>        ,<\/p>\n<p>        0.714<\/p>\n<p>        ,<\/p>\n<p>        1<\/p>\n<p>        ]<\/p>\n<p>       [0, 0.143, 0.429, 0.714, 1]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.143<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.429<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.714<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u3002\u82f9\u679c\u9178\u542b\u91cf\u5217 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        2<\/p>\n<p>        ,<\/p>\n<p>        1<\/p>\n<p>        ,<\/p>\n<p>        3<\/p>\n<p>        ,<\/p>\n<p>        2<\/p>\n<p>        ,<\/p>\n<p>        1<\/p>\n<p>        ]<\/p>\n<p>       [2,1,3,2,1]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span> \u540c\u6837\u5904\u7406\u540e\u5f97\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        0.5<\/p>\n<p>        ,<\/p>\n<p>        0<\/p>\n<p>        ,<\/p>\n<p>        1<\/p>\n<p>        ,<\/p>\n<p>        0.5<\/p>\n<p>        ,<\/p>\n<p>        0<\/p>\n<p>        ]<\/p>\n<p>       [0.5, 0, 1, 0.5, 0]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0.5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u3002\u4e24\u4e2a\u7279\u5f81\u5168\u90e8\u56de\u52300~1\u7684\u540c\u4e00\u8d77\u8dd1\u7ebf&#xff0c;\u8c01\u4e5f\u522b\u60f3\u518d\u72ec\u88c1\u3002<\/p>\n<h4>5.2 Z-score\u6807\u51c6\u5316&#xff08;\u5747\u503c\u5f52\u4e00\u5316&#xff09;<\/h4>\n<p>\u628a\u6bcf\u4e2a\u7279\u5f81\u53d8\u6362\u6210\u5747\u503c\u4e3a0\u3001\u6807\u51c6\u5dee\u4e3a1\u7684\u5206\u5e03&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>          x<\/p>\n<p>          \u2032<\/p>\n<p>         &#061;<\/p>\n<p>           x<\/p>\n<p>           \u2212<\/p>\n<p>           \u03bc<\/p>\n<p>          \u03c3<\/p>\n<p>        x&#039; &#061; \\\\frac{x &#8211; \\\\mu}{\\\\sigma}<\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.9463em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03bc<\/p>\n<p>       \\\\mu<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><\/span> \u662f\u8be5\u7279\u5f81\u7684\u5747\u503c&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c3<\/p>\n<p>       \\\\sigma<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><\/span> \u662f\u6807\u51c6\u5dee\u3002\u8fd8\u662f\u9152\u7cbe\u542b\u91cf\u5217 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        50<\/p>\n<p>        ,<\/p>\n<p>        60<\/p>\n<p>        ,<\/p>\n<p>        80<\/p>\n<p>        ,<\/p>\n<p>        100<\/p>\n<p>        ,<\/p>\n<p>        120<\/p>\n<p>        ]<\/p>\n<p>       [50, 60, 80, 100, 120]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">50<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">60<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">80<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">100<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">120<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u5747\u503c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03bc<\/p>\n<p>        &#061;<\/p>\n<p>        82<\/p>\n<p>       \\\\mu &#061; 82<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">82<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6807\u51c6\u5dee <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        \u03c3<\/p>\n<p>        \u2248<\/p>\n<p>        25.61<\/p>\n<p>       \\\\sigma \\\\approx 25.61<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4831em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">25.61<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u53d8\u6362\u540e\u5f97\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        [<\/p>\n<p>        \u2212<\/p>\n<p>        1.25<\/p>\n<p>        ,<\/p>\n<p>        \u2212<\/p>\n<p>        0.86<\/p>\n<p>        ,<\/p>\n<p>        \u2212<\/p>\n<p>        0.08<\/p>\n<p>        ,<\/p>\n<p>        0.70<\/p>\n<p>        ,<\/p>\n<p>        1.48<\/p>\n<p>        ]<\/p>\n<p>       [-1.25, -0.86, -0.08, 0.70, 1.48]<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1.25<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0.86<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">0.08<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">0.70<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1.48<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u3002\u6570\u503c\u6709\u6b63\u6709\u8d1f&#xff0c;\u542b\u4e49\u662f&#034;\u504f\u79bb\u5e73\u5747\u6c34\u5e73\u51e0\u4e2a\u6807\u51c6\u5dee&#034;\u2014\u2014\u8003\u8bd5\u91cc\u7684&#034;\u4f60\u8d85\u8fc7\u4e86\u5168\u73ed\u591a\u5c11\u4eba&#034;\u5c31\u662f\u8fd9\u4e2a\u601d\u8def\u3002<\/p>\n<h4>5.3 \u600e\u4e48\u9009&#xff1f;\u4e00\u5f20\u8868\u8bf4\u6e05<\/h4>\n<table>\n<tr>\u5bf9\u6bd4\u7ef4\u5ea6min-max\u6807\u51c6\u5316Z-score\u6807\u51c6\u5316<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u7ed3\u679c\u8303\u56f4<\/td>\n<td align=\"left\">\u56fa\u5b9a\u538b\u7f29\u5230 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           [<\/p>\n<p>           0<\/p>\n<p>           ,<\/p>\n<p>           1<\/p>\n<p>           ]<\/p>\n<p>          [0,1]<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u5747\u503c0\u3001\u6807\u51c6\u5dee1&#xff0c;\u65e0\u56fa\u5b9a\u8fb9\u754c<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u5bf9\u79bb\u7fa4\u503c<\/td>\n<td align=\"left\">\u654f\u611f&#xff08;\u4e00\u4e2a\u6781\u7aef\u503c\u5c31\u628a\u5176\u4ed6\u6570\u636e\u6324\u6210\u4e00\u56e2&#xff09;<\/td>\n<td align=\"left\">\u76f8\u5bf9\u7a33\u5065<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u9002\u7528\u573a\u666f<\/td>\n<td align=\"left\">\u6570\u636e\u5206\u5e03\u6709\u660e\u786e\u8fb9\u754c\u3001\u65e0\u660e\u663e\u79bb\u7fa4\u503c<\/td>\n<td align=\"left\">\u6570\u636e\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u6216\u5b58\u5728\u79bb\u7fa4\u503c<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">sklearn\u5b9e\u73b0<\/td>\n<td align=\"left\">MinMaxScaler<\/td>\n<td align=\"left\">StandardScaler<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b0\u624b\u9ed8\u8ba4\u9009<\/td>\n<td align=\"left\">\u56fe\u50cf\u50cf\u7d20\u7b49\u5929\u7136\u6709\u754c\u6570\u636e<\/td>\n<td align=\"left\">\u62ff\u4e0d\u51c6\u5c31\u7528\u5b83<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e00\u4e2a\u5de5\u7a0b\u7ec6\u8282\u5fc5\u987b\u5728\u8fd9\u91cc\u6572\u9ed1\u677f&#xff1a;\u6807\u51c6\u5316\u7684\u53c2\u6570&#xff08;min\u3001max\u3001\u5747\u503c\u3001\u6807\u51c6\u5dee&#xff09;\u53ea\u80fd\u4ece\u8bad\u7ec3\u96c6\u4e0a\u8ba1\u7b97&#xff0c;\u518d\u5957\u7528\u5230\u6d4b\u8bd5\u96c6\u4e0a\u3002\u4e5f\u5c31\u662f\u5148\u5728\u8bad\u7ec3\u96c6\u4e0a fit&#xff0c;\u518d\u5bf9\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u5206\u522b transform\u3002\u5982\u679c\u62ff\u5168\u91cf\u6570\u636e\u4e00\u8d77\u7b97&#xff0c;\u6d4b\u8bd5\u96c6\u7684\u4fe1\u606f\u5c31\u63d0\u524d\u6cc4\u9732\u7ed9\u4e86\u6a21\u578b&#xff0c;\u8bc4\u4f30\u7ed3\u679c\u4f1a\u865a\u9ad8\u3002\u7b2c\u4e5d\u8282\u7684\u8e29\u5751\u5b9e\u5f55\u91cc\u6709\u8fd9\u4e2a\u5751\u7684\u5b8c\u6574\u590d\u73b0\u65b9\u5f0f\u3002<\/p>\n<h3>\u516d\u3001sklearn\u5b9e\u6218&#xff1a;wine\u6570\u636e\u96c6\u4e0a\u7684\u5bf9\u6bd4\u5b9e\u9a8c<\/h3>\n<p>\u9053\u7406\u8bb2\u5b8c\u4e86&#xff0c;\u4e0a\u771f\u5b9e\u6570\u636e\u9a8c\u8d27\u3002sklearn\u81ea\u5e26\u7684wine\u6570\u636e\u96c6&#xff08;load_wine()&#xff09;\u7b80\u76f4\u662f\u4e3a\u8fd9\u7bc7\u6587\u7ae0\u91cf\u8eab\u5b9a\u505a\u7684&#xff1a;178\u4e2a\u8461\u8404\u9152\u6837\u672c\u300113\u4e2a\u7279\u5f81\u30013\u4e2a\u54c1\u79cd\u7c7b\u522b&#xff0c;\u6b63\u597d\u662f\u7b2c\u4e09\u8282\u624b\u7b97\u6848\u4f8b\u7684&#034;\u5de5\u4e1a\u653e\u5927\u7248&#034;\u3002\u5b83\u7684\u7279\u5f81\u91cf\u7eb2\u6709\u591a\u60ac\u6b8a&#xff1f;&#034;\u812f\u6c28\u9178&#034;\u7684\u53d6\u503c\u8303\u56f4\u662f278<sub>1680&#xff0c;\u800c&#034;\u82f9\u679c\u9178&#034;\u53ea\u67090.74<\/sub>5.8&#xff0c;\u91cf\u7ea7\u5dee\u4e86\u4e09\u4e2a\u6570\u91cf\u7ea7\u2014\u2014\u7b2c\u56db\u8282\u90a3\u4e2a\u00d710\u7684\u73a9\u5177\u4f8b\u5b50&#xff0c;\u5728\u771f\u5b9e\u6570\u636e\u91cc\u662f\u00d7300\u3002<\/p>\n<p>\u5b9e\u9a8c\u8bbe\u8ba1\u5f88\u7b80\u5355&#xff1a;\u540c\u4e00\u4efd\u6570\u636e\u3001\u540c\u4e00\u4e2aKNN\u6a21\u578b&#xff08;K&#061;5&#xff09;&#xff0c;\u552f\u4e00\u7684\u53d8\u91cf\u662f\u505a\u4e0d\u505a\u6807\u51c6\u5316&#xff0c;\u6bd4\u8f83\u6d4b\u8bd5\u96c6\u51c6\u786e\u7387\u3002<\/p>\n<p><span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>datasets <span class=\"token keyword\">import<\/span> load_wine<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>model_selection <span class=\"token keyword\">import<\/span> train_test_split<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>neighbors <span class=\"token keyword\">import<\/span> KNeighborsClassifier<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>preprocessing <span class=\"token keyword\">import<\/span> StandardScaler<span class=\"token punctuation\">,<\/span> MinMaxScaler<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>metrics <span class=\"token keyword\">import<\/span> accuracy_score<\/p>\n<p>X<span class=\"token punctuation\">,<\/span> y <span class=\"token operator\">&#061;<\/span> load_wine<span class=\"token punctuation\">(<\/span>return_X_y<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token comment\"># 178\u4e2a\u6837\u672c&#xff0c;13\u4e2a\u7279\u5f81&#xff0c;3\u4e2a\u7c7b\u522b<\/span><br \/>\nX_train<span class=\"token punctuation\">,<\/span> X_test<span class=\"token punctuation\">,<\/span> y_train<span class=\"token punctuation\">,<\/span> y_test <span class=\"token operator\">&#061;<\/span> train_test_split<span class=\"token punctuation\">(<\/span><br \/>\n    X<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">,<\/span> test_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.3<\/span><span class=\"token punctuation\">,<\/span> random_state<span class=\"token operator\">&#061;<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">,<\/span> stratify<span class=\"token operator\">&#061;<\/span>y<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u65b9\u6848\u4e00&#xff1a;\u539f\u59cb\u6570\u636e\u76f4\u63a5\u8dd1KNN&#xff08;\u9519\u8bef\u793a\u8303&#xff09;<\/span><br \/>\nknn <span class=\"token operator\">&#061;<\/span> KNeighborsClassifier<span class=\"token punctuation\">(<\/span>n_neighbors<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><br \/>\nknn<span class=\"token punctuation\">.<\/span>fit<span class=\"token punctuation\">(<\/span>X_train<span class=\"token punctuation\">,<\/span> y_train<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u4e0d\u6807\u51c6\u5316:&#034;<\/span><span class=\"token punctuation\">,<\/span> accuracy_score<span class=\"token punctuation\">(<\/span>y_test<span class=\"token punctuation\">,<\/span> knn<span class=\"token punctuation\">.<\/span>predict<span class=\"token punctuation\">(<\/span>X_test<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u65b9\u6848\u4e8c&#xff1a;Z-score\u6807\u51c6\u5316\u540e\u518d\u8dd1&#xff08;\u6ce8\u610f\u53ea\u5728\u8bad\u7ec3\u96c6\u4e0afit&#xff09;<\/span><br \/>\nsc <span class=\"token operator\">&#061;<\/span> StandardScaler<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>fit<span class=\"token punctuation\">(<\/span>X_train<span class=\"token punctuation\">)<\/span>          <span class=\"token comment\"># \u5747\u503c\u548c\u6807\u51c6\u5dee\u53ea\u4ece\u8bad\u7ec3\u96c6\u5b66<\/span><br \/>\nknn_std <span class=\"token operator\">&#061;<\/span> KNeighborsClassifier<span class=\"token punctuation\">(<\/span>n_neighbors<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><br \/>\nknn_std<span class=\"token punctuation\">.<\/span>fit<span class=\"token punctuation\">(<\/span>sc<span class=\"token punctuation\">.<\/span>transform<span class=\"token punctuation\">(<\/span>X_train<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> y_train<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;Z-score\u6807\u51c6\u5316:&#034;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n      accuracy_score<span class=\"token punctuation\">(<\/span>y_test<span class=\"token punctuation\">,<\/span> knn_std<span class=\"token punctuation\">.<\/span>predict<span class=\"token punctuation\">(<\/span>sc<span class=\"token punctuation\">.<\/span>transform<span class=\"token punctuation\">(<\/span>X_test<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u65b9\u6848\u4e09&#xff1a;min-max\u6807\u51c6\u5316\u540e\u518d\u8dd1<\/span><br \/>\nmm <span class=\"token operator\">&#061;<\/span> MinMaxScaler<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>fit<span class=\"token punctuation\">(<\/span>X_train<span class=\"token punctuation\">)<\/span><br \/>\nknn_mm <span class=\"token operator\">&#061;<\/span> KNeighborsClassifier<span class=\"token punctuation\">(<\/span>n_neighbors<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><br \/>\nknn_mm<span class=\"token punctuation\">.<\/span>fit<span class=\"token punctuation\">(<\/span>mm<span class=\"token punctuation\">.<\/span>transform<span class=\"token punctuation\">(<\/span>X_train<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> y_train<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;min-max\u6807\u51c6\u5316:&#034;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n      accuracy_score<span class=\"token punctuation\">(<\/span>y_test<span class=\"token punctuation\">,<\/span> knn_mm<span class=\"token punctuation\">.<\/span>predict<span class=\"token punctuation\">(<\/span>mm<span class=\"token punctuation\">.<\/span>transform<span class=\"token punctuation\">(<\/span>X_test<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8fd0\u884c\u8f93\u51fa&#xff1a;<\/span><br \/>\n<span class=\"token comment\"># \u4e0d\u6807\u51c6\u5316: 0.7222222222222222<\/span><br \/>\n<span class=\"token comment\"># Z-score\u6807\u51c6\u5316: 0.9444444444444444<\/span><br \/>\n<span class=\"token comment\"># min-max\u6807\u51c6\u5316: 0.9629629629629629<\/span><\/p>\n<p>\u7ed3\u679c\u6c47\u603b&#xff08;\u5b9e\u6d4b\u6570\u5b57&#xff0c;sklearn 1.6\u3001random_state&#061;42&#xff0c;\u4f60\u53ef\u4ee5\u9010\u5b57\u590d\u73b0&#xff09;&#xff1a;<\/p>\n<table>\n<tr>\u65b9\u6848\u9884\u5904\u7406\u6d4b\u8bd5\u96c6\u51c6\u786e\u7387\u76f8\u5bf9\u63d0\u5347<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u65b9\u6848\u4e00<\/td>\n<td align=\"center\">\u65e0&#xff08;\u539f\u59cb\u6570\u636e&#xff09;<\/td>\n<td align=\"center\">0.7222<\/td>\n<td align=\"center\">\u2014<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b9\u6848\u4e8c<\/td>\n<td align=\"center\">Z-score\u6807\u51c6\u5316<\/td>\n<td align=\"center\">0.9444<\/td>\n<td align=\"center\">&#043;22.2\u4e2a\u767e\u5206\u70b9<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u65b9\u6848\u4e09<\/td>\n<td align=\"center\">min-max\u6807\u51c6\u5316<\/td>\n<td align=\"center\">0.9630<\/td>\n<td align=\"center\">&#043;24.1\u4e2a\u767e\u5206\u70b9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u540c\u4e00\u4e2a\u6a21\u578b\u3001\u540c\u4e00\u4efd\u6570\u636e\u3001\u540c\u4e00\u4e2aK&#xff0c;\u53ea\u662f\u52a0\u4e86\u4e24\u884c\u6807\u51c6\u5316\u4ee3\u7801&#xff0c;\u51c6\u786e\u7387\u4ece0.72\u8df3\u52300.94\u4ee5\u4e0a\u3002\u53cd\u8fc7\u6765\u8bfb\u8fd9\u5f20\u8868\u66f4\u5413\u4eba&#xff1a;\u4e0d\u505a\u6807\u51c6\u5316&#xff0c;\u4f60\u4eb2\u624b\u628a\u4e00\u4e2a94\u5206\u7684\u6a21\u578b\u5f00\u6210\u4e8672\u5206&#xff0c;\u800c\u4e14\u5b83\u4e0d\u62a5\u4efb\u4f55\u9519&#xff0c;\u4f60\u82e5\u4e0d\u505a\u8fd9\u7ec4\u5bf9\u7167\u5b9e\u9a8c&#xff0c;\u53ef\u80fd\u6c38\u8fdc\u4e0d\u77e5\u9053\u81ea\u5df1\u635f\u5931\u4e86\u4ec0\u4e48\u3002<\/p>\n<p>0.72\u662f\u4ec0\u4e48\u6982\u5ff5&#xff1f;wine\u6570\u636e\u96c6\u4e09\u4e2a\u7c7b\u522b\u7684\u6837\u672c\u6570\u662f59\/71\/48&#xff0c;\u5168\u731c\u6700\u5927\u7c7b\u4e5f\u67090.40\u7684\u51c6\u786e\u7387\u3002\u4e5f\u5c31\u662f\u8bf4&#xff0c;13\u4e2a\u7279\u5f81\u88ab&#034;\u812f\u6c28\u9178&#034;\u4eec\u72ec\u88c1\u4e4b\u540e&#xff0c;\u6a21\u578b\u53ea\u6bd4\u778e\u731c\u806a\u660e\u4e86\u4e00\u534a\u3002<\/p>\n<h3>\u4e03\u3001K\u503c\u600e\u4e48\u9009&#xff1a;GridSearchCV\u8c03\u53c2\u66f2\u7ebf<\/h3>\n<p>\u6807\u51c6\u5316\u89e3\u51b3\u4e86&#034;\u7279\u5f81\u8bdd\u8bed\u6743&#034;\u7684\u95ee\u9898&#xff0c;\u8fd8\u5269\u4e0b\u5f00\u5934\u6316\u7684\u90a3\u4e2a\u5751&#xff1a;K\u53d6\u51e0&#xff1f;\u7b2c\u4e00\u8282\u7684\u7535\u5f71\u4f8b\u5b50\u5df2\u7ecf\u6f14\u793a\u8fc7K&#061;3\u548cK&#061;5\u7ed9\u51fa\u76f8\u53cd\u7ed3\u8bba\u3002K\u592a\u5c0f&#xff0c;\u6a21\u578b\u8ddf\u7740\u4e2a\u522b\u566a\u58f0\u70b9\u8d77\u821e&#xff0c;\u5bb9\u6613\u8fc7\u62df\u5408&#xff1b;K\u592a\u5927&#xff0c;\u8fde\u5f88\u8fdc\u7684&#034;\u5047\u90bb\u5c45&#034;\u90fd\u62c9\u8fdb\u6765\u6295\u7968&#xff0c;\u51b3\u7b56\u8fb9\u754c\u88ab\u62b9\u5e73&#xff0c;\u5bb9\u6613\u6b20\u62df\u5408\u3002\u6781\u7aef\u60c5\u51b5\u4e0bK&#061;\u6837\u672c\u603b\u6570&#xff0c;\u90a3\u6240\u6709\u65b0\u6837\u672c\u90fd\u4f1a\u88ab\u5224\u6210\u5360\u6bd4\u6700\u9ad8\u7684\u7c7b\u522b&#xff0c;\u6a21\u578b\u9000\u5316\u6210&#034;\u62a5\u83dc\u540d&#034;\u3002<\/p>\n<p>\u6b63\u7ecf\u505a\u6cd5\u662f\u628aK\u5f53\u8d85\u53c2\u6570&#xff0c;\u7528\u4ea4\u53c9\u9a8c\u8bc1\u626b\u4e00\u904d&#xff1a;<\/p>\n<p><span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>datasets <span class=\"token keyword\">import<\/span> load_wine<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>model_selection <span class=\"token keyword\">import<\/span> train_test_split<span class=\"token punctuation\">,<\/span> GridSearchCV<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>neighbors <span class=\"token keyword\">import<\/span> KNeighborsClassifier<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>preprocessing <span class=\"token keyword\">import<\/span> StandardScaler<br \/>\n<span class=\"token keyword\">from<\/span> sklearn<span class=\"token punctuation\">.<\/span>pipeline <span class=\"token keyword\">import<\/span> make_pipeline<\/p>\n<p>X<span class=\"token punctuation\">,<\/span> y <span class=\"token operator\">&#061;<\/span> load_wine<span class=\"token punctuation\">(<\/span>return_X_y<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\nX_train<span class=\"token punctuation\">,<\/span> X_test<span class=\"token punctuation\">,<\/span> y_train<span class=\"token punctuation\">,<\/span> y_test <span class=\"token operator\">&#061;<\/span> train_test_split<span class=\"token punctuation\">(<\/span><br \/>\n    X<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">,<\/span> test_size<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0.3<\/span><span class=\"token punctuation\">,<\/span> random_state<span class=\"token operator\">&#061;<\/span><span class=\"token number\">42<\/span><span class=\"token punctuation\">,<\/span> stratify<span class=\"token operator\">&#061;<\/span>y<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># Pipeline\u628a\u6807\u51c6\u5316\u548cKNN\u6346\u5728\u4e00\u8d77&#xff1a;\u4ea4\u53c9\u9a8c\u8bc1\u7684\u6bcf\u4e00\u6298\u90fd\u81ea\u52a8<\/span><br \/>\n<span class=\"token comment\"># \u53ea\u5728\u8bad\u7ec3\u6298\u4e0afit\u6807\u51c6\u5316\u53c2\u6570&#xff0c;\u4ece\u673a\u5236\u4e0a\u675c\u7edd\u6570\u636e\u6cc4\u9732<\/span><br \/>\npipe <span class=\"token operator\">&#061;<\/span> make_pipeline<span class=\"token punctuation\">(<\/span>StandardScaler<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> KNeighborsClassifier<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\nparam_grid <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;kneighborsclassifier__n_neighbors&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">21<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span>  <span class=\"token comment\"># K\u4ece1\u626b\u523020<\/span><\/p>\n<p>gs <span class=\"token operator\">&#061;<\/span> GridSearchCV<span class=\"token punctuation\">(<\/span>pipe<span class=\"token punctuation\">,<\/span> param_grid<span class=\"token punctuation\">,<\/span> cv<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> scoring<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;accuracy&#034;<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># 5\u6298\u4ea4\u53c9\u9a8c\u8bc1<\/span><br \/>\ngs<span class=\"token punctuation\">.<\/span>fit<span class=\"token punctuation\">(<\/span>X_train<span class=\"token punctuation\">,<\/span> y_train<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6700\u4f18K:&#034;<\/span><span class=\"token punctuation\">,<\/span> gs<span class=\"token punctuation\">.<\/span>best_params_<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;kneighborsclassifier__n_neighbors&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u4ea4\u53c9\u9a8c\u8bc1\u6700\u9ad8\u5206:&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>gs<span class=\"token punctuation\">.<\/span>best_score_<span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6d4b\u8bd5\u96c6\u5206\u6570:&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">round<\/span><span class=\"token punctuation\">(<\/span>gs<span class=\"token punctuation\">.<\/span>score<span class=\"token punctuation\">(<\/span>X_test<span class=\"token punctuation\">,<\/span> y_test<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> k<span class=\"token punctuation\">,<\/span> s <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">zip<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">21<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> gs<span class=\"token punctuation\">.<\/span>cv_results_<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;mean_test_score&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;K&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>k<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">&gt;2d<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">  cv\u51c6\u786e\u7387&#061;<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>s<span class=\"token punctuation\">:<\/span><span class=\"token format-spec\">.4f<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u8fd0\u884c\u8f93\u51fa&#xff08;\u8282\u9009&#xff09;&#xff1a;<\/span><br \/>\n<span class=\"token comment\"># \u6700\u4f18K: 12<\/span><br \/>\n<span class=\"token comment\"># \u4ea4\u53c9\u9a8c\u8bc1\u6700\u9ad8\u5206: 0.9677<\/span><br \/>\n<span class=\"token comment\"># \u6d4b\u8bd5\u96c6\u5206\u6570: 0.963<\/span><br \/>\n<span class=\"token comment\"># K&#061; 1  cv\u51c6\u786e\u7387&#061;0.9513<\/span><br \/>\n<span class=\"token comment\"># K&#061; 2  cv\u51c6\u786e\u7387&#061;0.9357<\/span><br \/>\n<span class=\"token comment\"># K&#061; 5  cv\u51c6\u786e\u7387&#061;0.9593<\/span><br \/>\n<span class=\"token comment\"># K&#061;12  cv\u51c6\u786e\u7387&#061;0.9677<\/span><br \/>\n<span class=\"token comment\"># K&#061;20  cv\u51c6\u786e\u7387&#061;0.9513<\/span><\/p>\n<p>\u628a\u8fd920\u4e2a\u70b9\u8fde\u8d77\u6765\u5c31\u662fK\u503c\u8c03\u53c2\u66f2\u7ebf&#xff0c;\u5f62\u72b6\u5f88\u5178\u578b&#xff1a;K&#061;1\u65f60.9513&#xff0c;\u6bcf\u4e2a\u566a\u58f0\u70b9\u90fd\u63e1\u7740\u4e00\u7968\u5426\u51b3\u6743&#xff0c;\u5206\u6570\u88ab\u62d6\u7d2f&#xff1b;K&#061;2\u53cd\u800c\u8dcc\u5230\u5168\u573a\u6700\u4f4e\u76840.9357\u2014\u2014\u5076\u6570K\u5e73\u7968\u7387\u9ad8&#xff0c;\u662f\u4e2a\u7ecf\u5178\u5c0f\u5751&#xff1b;K&#061;4\u4ee5\u540e\u722c\u4e0a0.959\u5de6\u53f3\u7684\u5e73\u53f0\u671f&#xff1b;K&#061;12\u6478\u5230\u5cf0\u503c0.9677&#xff1b;\u518d\u5f80\u540e\u7f13\u6162\u4e0b\u6ed1&#xff0c;K&#061;20\u56de\u843d\u52300.9513&#xff0c;\u6b20\u62df\u5408\u7684\u82d7\u5934\u51fa\u6765\u4e86\u3002\u6574\u6761\u66f2\u7ebf\u662f\u4e24\u5934\u4f4e\u3001\u4e2d\u95f4\u9ad8\u7684\u5012U\u5f62&#xff0c;\u4f60\u5728\u81ea\u5df1\u7684\u6570\u636e\u4e0a\u626b\u51fa\u6765\u5927\u6982\u7387\u4e5f\u957f\u8fd9\u6837&#xff0c;\u9009\u5cf0\u503c\u9644\u8fd1\u7684K\u5373\u53ef\u3002<\/p>\n<p>\u987a\u624b\u628aKNeighborsClassifier\u7684\u5e38\u7528\u53c2\u6570\u6574\u7406\u6210\u901f\u67e5\u8868&#xff1a;<\/p>\n<table>\n<tr>\u53c2\u6570\u9ed8\u8ba4\u503c\u4f5c\u7528\u8c03\u53c2\u5efa\u8bae<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">n_neighbors<\/td>\n<td align=\"center\">5<\/td>\n<td align=\"left\">\u90bb\u5c45\u6570\u91cfK<\/td>\n<td align=\"left\">\u6838\u5fc3\u53c2\u6570&#xff0c;\u7528\u4ea4\u53c9\u9a8c\u8bc1\u626b1~20&#xff0c;\u4e8c\u5206\u7c7b\u503e\u5411\u9009\u5947\u6570\u9632\u5e73\u7968<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">weights<\/td>\n<td align=\"center\">&#039;uniform&#039;<\/td>\n<td align=\"left\">\u6295\u7968\u6743\u91cd<\/td>\n<td align=\"left\">&#039;uniform&#039;\u4e00\u4eba\u4e00\u7968&#xff1b;&#039;distance&#039;\u79bb\u5f97\u8d8a\u8fd1\u7968\u8d8a\u91cd&#xff0c;\u566a\u58f0\u591a\u65f6\u53ef\u8bd5<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">metric<\/td>\n<td align=\"center\">&#039;minkowski&#039;<\/td>\n<td align=\"left\">\u8ddd\u79bb\u5ea6\u91cf<\/td>\n<td align=\"left\">\u914d\u5408p&#061;2\u5373\u6b27\u6c0f\u8ddd\u79bb&#xff08;\u9ed8\u8ba4&#xff09;&#xff1b;p&#061;1\u4e3a\u66fc\u54c8\u987f\u8ddd\u79bb<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">p<\/td>\n<td align=\"center\">2<\/td>\n<td align=\"left\">\u95f5\u53ef\u592b\u65af\u57fa\u8ddd\u79bb\u7684\u5e42<\/td>\n<td align=\"left\">\u9ad8\u7ef4\u7a00\u758f\u6570\u636e\u53ef\u8bd5p&#061;1<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">algorithm<\/td>\n<td align=\"center\">&#039;auto&#039;<\/td>\n<td align=\"left\">\u8fd1\u90bb\u641c\u7d22\u7b97\u6cd5<\/td>\n<td align=\"left\">\u4e00\u822c\u4e0d\u52a8&#xff0c;\u5927\u6570\u636e\u91cf\u65f6&#039;kd_tree&#039;\/&#039;ball_tree&#039;\u52a0\u901f<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">n_jobs<\/td>\n<td align=\"center\">None<\/td>\n<td align=\"left\">\u5e76\u884c\u6570<\/td>\n<td align=\"left\">\u9884\u6d4b\u6162\u65f6\u8bbe-1\u5403\u6ee1CPU<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u516b\u3001KNN\u7684\u4f18\u7f3a\u70b9\u3001\u9002\u7528\u573a\u666f&#xff0c;\u4ee5\u53ca2026\u5e74\u8fd8\u5b66\u5b83\u5e72\u561b<\/h3>\n<table>\n<tr>\u7ef4\u5ea6\u5185\u5bb9<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">\u4f18\u70b9<\/td>\n<td align=\"left\">\u539f\u7406\u76f4\u767d&#xff0c;\u51e0\u4e4e\u96f6\u95e8\u69db&#xff1b;\u65e0\u9700\u8bad\u7ec3\u8fc7\u7a0b&#xff08;\u60f0\u6027\u5b66\u4e60&#xff09;&#xff0c;\u65b0\u589e\u6837\u672c\u5373\u63d2\u5373\u7528&#xff1b;\u5929\u7136\u652f\u6301\u591a\u5206\u7c7b&#xff1b;\u5bf9\u6570\u636e\u5206\u5e03\u4e0d\u505a\u4efb\u4f55\u5047\u8bbe&#xff1b;\u51b3\u7b56\u8fb9\u754c\u53ef\u4ee5\u4efb\u610f\u590d\u6742<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u7f3a\u70b9<\/td>\n<td align=\"left\">\u9884\u6d4b\u65f6\u8981\u548c\u5168\u91cf\u8bad\u7ec3\u6570\u636e\u7b97\u8ddd\u79bb&#xff0c;\u6837\u672c\u91cf\u5927\u65f6\u53c8\u6162\u53c8\u5403\u5185\u5b58&#xff1b;\u5bf9\u7279\u5f81\u91cf\u7eb2\u6781\u5ea6\u654f\u611f&#xff08;\u672c\u6587\u4e3b\u9898&#xff09;&#xff1b;\u9ad8\u7ef4\u6570\u636e\u4e0b\u5404\u70b9\u8ddd\u79bb\u8d8b\u540c&#xff0c;\u6548\u679c\u5d29\u584c&#xff08;\u7ef4\u5ea6\u707e\u96be&#xff09;&#xff1b;\u5bf9\u7c7b\u522b\u4e0d\u5e73\u8861\u654f\u611f&#xff0c;\u591a\u6570\u7c7b\u5bb9\u6613\u9738\u5360\u6295\u7968<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u9002\u5408\u573a\u666f<\/td>\n<td align=\"left\">\u4e2d\u5c0f\u89c4\u6a21\u3001\u4f4e\u7ef4\u3001\u7279\u5f81\u7269\u7406\u542b\u4e49\u76f8\u8fd1\u7684\u6570\u636e&#xff1b;\u63a8\u8350\u7cfb\u7edf\u91cc&#034;\u627e\u76f8\u4f3c\u7528\u6237\/\u76f8\u4f3c\u7269\u54c1&#034;\u7684\u53ec\u56de&#xff1b;\u5f02\u5e38\u68c0\u6d4b&#xff08;\u79bb\u6240\u6709\u90bb\u5c45\u90fd\u8fdc\u7684\u5c31\u662f\u5f02\u5e38\u70b9&#xff09;&#xff1b;\u65b0\u9879\u76ee\u7684\u5feb\u901fbaseline<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">\u4e0d\u9002\u5408\u573a\u666f<\/td>\n<td align=\"left\">\u767e\u4e07\u7ea7\u4ee5\u4e0a\u6837\u672c\u7684\u5728\u7ebf\u5b9e\u65f6\u9884\u6d4b&#xff1b;\u51e0\u767e\u7ef4\u4ee5\u4e0a\u7684\u7a00\u758f\u7279\u5f81&#xff08;\u5982\u6587\u672cone-hot&#xff09;&#xff1b;\u7279\u5f81\u91cf\u7eb2\u6df7\u4e71\u53c8\u6ca1\u6761\u4ef6\u505a\u9884\u5904\u7406\u7684\u6570\u636e\u7ba1\u9053<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u52302026\u5e74\u7684\u4eca\u5929\u8fd8\u8981\u4e0d\u8981\u5b66KNN&#xff1f;\u8981\u3002\u5927\u6a21\u578b\u62a2\u8d70\u7684\u662f\u975e\u7ed3\u6784\u5316\u6570\u636e\u7684\u6d3b\u513f&#xff0c;\u800c\u94f6\u884c\u98ce\u63a7\u91cc\u7684\u90bb\u57df\u6b3a\u8bc8\u68c0\u6d4b\u3001\u63a8\u8350\u7cfb\u7edf\u7c97\u6392\u9636\u6bb5\u7684&#034;\u76f8\u4f3c\u7528\u6237\u53ec\u56de&#034;\u3001\u5de5\u4e1a\u8d28\u68c0\u91cc&#034;\u65b0\u5de5\u4ef6\u4e0e\u5386\u53f2\u5408\u683c\u54c1\u7684\u76f8\u4f3c\u5ea6\u6bd4\u5bf9&#034;&#xff0c;\u672c\u8d28\u4e0a\u90fd\u662fKNN\u601d\u60f3\u5728\u751f\u4ea7\u73af\u5883\u7684\u53d8\u4f53\u2014\u2014\u5411\u91cf\u6570\u636e\u5e93\u91cc\u7684\u8fd1\u4f3c\u6700\u8fd1\u90bb\u68c0\u7d22&#xff08;ANN&#xff09;&#xff0c;\u5c31\u662fKNN\u4e3a\u4e86\u5bf9\u4ed8\u6d77\u91cf\u6570\u636e\u6f14\u5316\u51fa\u7684\u5de5\u7a0b\u5f62\u6001\u3002\u4f60\u73b0\u5728\u505aRAG\u68c0\u7d22&#xff0c;\u5e95\u5c42\u903b\u8f91\u548c\u672c\u6587\u7b2c\u4e09\u8282\u7684\u624b\u7b97\u6d41\u7a0b\u662f\u540c\u4e00\u4ef6\u4e8b&#xff1a;\u7b97\u8ddd\u79bb\u3001\u6392\u5e8f\u3001\u53d6Top-K\u3002\u5b66\u900f\u8fd9\u7bc7&#xff0c;\u4f60\u5b66\u7684\u4e0d\u662f\u4e00\u4e2a\u8001\u7b97\u6cd5&#xff0c;\u662f\u4e00\u6574\u7c7b&#034;\u76f8\u4f3c\u5ea6\u68c0\u7d22&#034;\u95ee\u9898\u7684\u5730\u57fa\u3002<\/p>\n<h3>\u4e5d\u3001\u8e29\u5751\u5b9e\u5f55&#xff1a;\u65b0\u624b\u6700\u5bb9\u6613\u72af\u76844\u4e2a\u9519\u8bef<\/h3>\n<table>\n<tr>#\u9519\u8bef\u73b0\u8c61\u539f\u56e0\u4fee\u6b63\u505a\u6cd5<\/tr>\n<tbody>\n<tr>\n<td align=\"center\">1<\/td>\n<td align=\"left\">\u51c6\u786e\u7387\u83ab\u540d\u504f\u4f4e&#xff08;\u5982wine\u4e0a\u53ea\u67090.72&#xff09;&#xff0c;\u6362\u6a21\u578b\u4e5f\u6ca1\u597d\u8f6c<\/td>\n<td align=\"left\">\u5fd8\u4e86\u6807\u51c6\u5316&#xff0c;\u8ddd\u79bb\u88ab\u5927\u91cf\u7eb2\u7279\u5f81\u72ec\u88c1<\/td>\n<td align=\"left\">\u8bad\u7ec3\u524d\u52a0StandardScaler&#xff0c;KNN\/K-Means\/SVM\u4e00\u5f8b\u5148\u6807\u51c6\u5316<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">2<\/td>\n<td align=\"left\">\u4ea4\u53c9\u9a8c\u8bc1\u5206\u6570\u5f88\u9ad8&#xff0c;\u4e0a\u7ebf\u540e\u6548\u679c\u62c9\u80ef<\/td>\n<td align=\"left\">\u5728\u5168\u91cf\u6570\u636e\u4e0afit\u4e86Scaler&#xff0c;\u6d4b\u8bd5\u4fe1\u606f\u6cc4\u9732<\/td>\n<td align=\"left\">\u53ea\u5728\u8bad\u7ec3\u96c6\u4e0afit&#xff0c;\u6216\u76f4\u63a5\u7528Pipeline\u6346\u7ed1<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">3<\/td>\n<td align=\"left\">\u4e8c\u5206\u7c7b\u4efb\u52a1\u91cc\u9884\u6d4b\u7ed3\u679c\u65f6\u597d\u65f6\u574f\u3001\u96be\u4ee5\u590d\u73b0<\/td>\n<td align=\"left\">K\u53d6\u4e86\u5076\u6570&#xff0c;\u5e73\u7968\u65f6\u9760\u90bb\u5c45\u987a\u5e8f\u88c1\u51b3<\/td>\n<td align=\"left\">\u4e8c\u5206\u7c7b\u53d6\u5947\u6570K&#xff0c;\u6216\u7528weights&#061;&#039;distance&#039;<\/td>\n<\/tr>\n<tr>\n<td align=\"center\">4<\/td>\n<td align=\"left\">\u8bad\u7ec3&#034;\u79d2\u5b8c\u6210&#034;\u4e8e\u662f\u62ff\u767e\u4e07\u7ea7\u6570\u636e\u76f4\u63a5\u4e0a\u7ebf<\/td>\n<td align=\"left\">\u8bef\u4ee5\u4e3a\u8bad\u7ec3\u5feb&#061;\u9884\u6d4b\u5feb&#xff0c;KNN\u7684\u5f00\u9500\u5168\u5728\u9884\u6d4b<\/td>\n<td align=\"left\">\u5927\u6570\u636e\u91cf\u6362kd_tree\/ball_tree\u3001\u505aANN\u8fd1\u4f3c\u68c0\u7d22\u6216\u5e72\u8106\u6362\u6a21\u578b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7b2c2\u4e2a\u5751\u5c55\u5f00\u8bf4\u4e24\u53e5&#xff0c;\u56e0\u4e3a\u5b83\u6700\u9690\u853d\u3002\u9519\u8bef\u5199\u6cd5\u662fscaler.fit(X)\u4e4b\u540e\u518d\u5207\u5206\u8bad\u7ec3\/\u6d4b\u8bd5\u96c6\u2014\u2014\u6d4b\u8bd5\u96c6\u7684\u5747\u503c\u65b9\u5dee\u4fe1\u606f\u5df2\u7ecf\u6df7\u8fdb\u4e86\u6807\u51c6\u5316\u53c2\u6570&#xff0c;\u6a21\u578b\u7b49\u4e8e\u63d0\u524d\u5077\u770b\u4e86\u8003\u5377&#xff0c;\u4ea4\u53c9\u9a8c\u8bc1\u5206\u6570\u865a\u9ad8&#xff0c;\u4e0a\u7ebf\u89c1\u5149\u6b7b\u3002\u4fee\u6b63\u4ee3\u7801\u5c31\u662f\u7b2c\u4e03\u8282\u91cc\u7684make_pipeline(StandardScaler(), KNeighborsClassifier())&#xff1a;Pipeline\u4f1a\u4fdd\u8bc1\u6bcf\u4e00\u6298\u4ea4\u53c9\u9a8c\u8bc1\u90fd\u53ea\u7528\u8bad\u7ec3\u6298\u7684\u7edf\u8ba1\u91cf&#xff0c;\u60f3\u6cc4\u9732\u90fd\u96be\u3002<\/p>\n<p>\u7b2c3\u4e2a\u5751\u4f60\u5728\u7b2c\u4e03\u8282\u7684\u66f2\u7ebf\u91cc\u5df2\u7ecf\u4eb2\u773c\u89c1\u8fc7\u4e86&#xff1a;K&#061;2\u7684\u5206\u6570\u6bd4K&#061;1\u548cK&#061;3\u90fd\u4f4e&#xff0c;\u4e0d\u662f\u5de7\u5408&#xff0c;\u662f\u5e73\u7968\u88c1\u51b3\u5728\u6363\u4e71\u3002<\/p>\n<h3>\u5341\u3001\u53c2\u8003\u8d44\u6599<\/h3>\n<li>scikit-learn\u5b98\u65b9\u6587\u6863\u00b7\u6700\u8fd1\u90bb\u7b97\u6cd5&#xff1a;https:\/\/scikit-learn.org\/stable\/modules\/neighbors.html<\/li>\n<li>\u7ef4\u57fa\u767e\u79d1\u00b7k-nearest neighbors algorithm&#xff1a;https:\/\/en.wikipedia.org\/wiki\/K-nearest_neighbors_algorithm<\/li>\n<li>\u5468\u5fd7\u534e&#xff0c;\u300a\u673a\u5668\u5b66\u4e60\u300b&#xff08;\u897f\u74dc\u4e66&#xff09;&#xff0c;\u6e05\u534e\u5927\u5b66\u51fa\u7248\u793e\u2014\u2014\u7b2c10\u7ae0&#034;\u964d\u7ef4\u4e0e\u5ea6\u91cf\u5b66\u4e60&#034;\u5bf9k\u8fd1\u90bb\u5b66\u4e60\u5668\u4e0e\u7ef4\u5ea6\u707e\u96be\u6709\u7cfb\u7edf\u8bba\u8ff0\u3002<\/li>\n<h3>\u5341\u4e00\u3001\u4e92\u52a8\u5f15\u5bfc<\/h3>\n<p>\u4e09\u4e2a\u95ee\u9898&#xff0c;\u6b22\u8fce\u5728\u8bc4\u8bba\u533a\u804a\u804a&#xff1a;<\/p>\n<li>\u4f60\u5728\u81ea\u5df1\u7684\u9879\u76ee\u91cc\u9047\u5230\u8fc7&#034;\u7279\u5f81\u72ec\u88c1&#034;\u5417&#xff1f;\u662f\u54ea\u4e2a\u7279\u5f81\u3001\u91cf\u7ea7\u5dee\u4e86\u591a\u5c11&#xff0c;\u6807\u51c6\u5316\u4e4b\u540e\u6307\u6807\u53d8\u5316\u4e86\u591a\u5c11&#xff1f;<\/li>\n<li>\u6587\u4e2dK&#061;2\u7684\u4ea4\u53c9\u9a8c\u8bc1\u5206\u6570\u4f4e\u4e8eK&#061;1\u548cK&#061;3&#xff0c;\u9664\u4e86\u5e73\u7968\u95ee\u9898&#xff0c;\u4f60\u89c9\u5f97\u8fd8\u6709\u522b\u7684\u89e3\u91ca\u5417&#xff1f;<\/li>\n<li>\u5982\u679c\u4e24\u4e2a\u7279\u5f81\u91cf\u7eb2\u76f8\u540c\u3001\u4f46\u5176\u4e2d\u4e00\u4e2a\u5176\u5b9e\u548c\u6807\u7b7e\u6beb\u65e0\u5173\u7cfb&#xff08;\u7eaf\u566a\u58f0\u7279\u5f81&#xff09;&#xff0c;\u6807\u51c6\u5316\u6551\u5f97\u4e86KNN\u5417&#xff1f;\u8be5\u7528\u4ec0\u4e48\u529e\u6cd5\u5904\u7406&#xff1f;<\/li>\n<p>\u89c9\u5f97\u8fd9\u7bc7\u628a&#034;\u6807\u51c6\u5316\u4e3a\u4ec0\u4e48\u662fKNN\u7684\u6551\u547d\u7a3b\u8349&#034;\u8bb2\u900f\u4e86\u7684\u8bdd&#xff0c;\u70b9\u8d5e\u3001\u6536\u85cf\u3001\u5173\u6ce8\u672c\u4e13\u680f\u4e09\u8fde\u8d70\u4e00\u6ce2\u3002\u4e0b\u4e00\u7bc7&#xff08;\u672c\u7cfb\u5217\u7b2c5\u7bc7&#xff09;\u6211\u4eec\u8fdb\u5165\u6811\u6a21\u578b\u7684\u4e16\u754c&#xff1a;\u300a\u4e00\u4e2a\u6570\u5b57\u51b3\u5b9a\u5206\u88c2\u751f\u6b7b&#xff1a;\u51b3\u7b56\u6811\u7684\u57fa\u5c3c\u7cfb\u6570\u4e0e\u4fe1\u606f\u71b5\u5bf9\u51b3\u300b\u2014\u2014\u540c\u6837\u662f&#034;\u6311\u7279\u5f81&#034;&#xff0c;\u51b3\u7b56\u6811\u7528\u7684\u662f\u5b8c\u5168\u4e0d\u540c\u7684\u4e00\u628a\u5c3a\u5b50&#xff0c;\u4e0d\u89c1\u4e0d\u6563\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\\&#8221;\u72ec\u88c1\\&#8221; \u76ee\u5f55\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\\&#8221;\u72ec\u88c1\\&#8221;\u4e00\u3001\u4ece\\&#8221;\u9009\u7535\u5f71\\&#8221;\u8bf4\u8d77&#xff1a;KNN\u7684\u6734\u7d20\u76f4\u89c9\u4e8c\u3001\u8ddd\u79bb\u600e\u4e48\u7b97&#xff1a;\u4ece\u4e24\u70b9\u516c\u5f0f\u5230n\u7ef4\u7a7a\u95f4\u4e09\u30015\u74f6\u8461\u8404\u9152&#xff0c;\u4e00\u5f20\u8349\u7a3f\u7eb8&#xff1a;\u624b\u7b97KNN\u5168\u8fc7\u7a0b\u56db\u3001\u628a\u9152\u7cbe\u542b\u91cf\u653e\u592710\u500d&#xff1a;\u4e00\u4e2a\u7279\u5f81\u7684\\&#8221;\u72ec\u88c1\\&#8221;\u73b0\u573a\u4e94\u3001\u4e24\u79cd\u6807\u51c6\u5316&#xff1a;min-max\u4e0eZ-score5.1 min-max\u6807\u51c6\u5316&#xff08;\u79bb<\/p>\n","protected":false},"author":2,"featured_media":84380,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[50,207,427],"topic":[],"class_list":["post-84381","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-50","tag-207","tag-427"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/84381.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81&quot;\u72ec\u88c1&quot; \u76ee\u5f55\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81&quot;\u72ec\u88c1&quot;\u4e00\u3001\u4ece&quot;\u9009\u7535\u5f71&quot;\u8bf4\u8d77&#xff1a;KNN\u7684\u6734\u7d20\u76f4\u89c9\u4e8c\u3001\u8ddd\u79bb\u600e\u4e48\u7b97&#xff1a;\u4ece\u4e24\u70b9\u516c\u5f0f\u5230n\u7ef4\u7a7a\u95f4\u4e09\u30015\u74f6\u8461\u8404\u9152&#xff0c;\u4e00\u5f20\u8349\u7a3f\u7eb8&#xff1a;\u624b\u7b97KNN\u5168\u8fc7\u7a0b\u56db\u3001\u628a\u9152\u7cbe\u542b\u91cf\u653e\u592710\u500d&#xff1a;\u4e00\u4e2a\u7279\u5f81\u7684&quot;\u72ec\u88c1&quot;\u73b0\u573a\u4e94\u3001\u4e24\u79cd\u6807\u51c6\u5316&#xff1a;min-max\u4e0eZ-score5.1 min-max\u6807\u51c6\u5316&#xff08;\u79bb\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/84381.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-07-26T04:25:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726042546-6a658c4a026a7.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"9 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/84381.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/84381.html\",\"name\":\"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2026-07-26T04:25:48+00:00\",\"dateModified\":\"2026-07-26T04:25:48+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/84381.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/84381.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/84381.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/84381.html","og_locale":"zh_CN","og_type":"article","og_title":"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\"\u72ec\u88c1\" \u76ee\u5f55\u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN&#xff1f;\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\"\u72ec\u88c1\"\u4e00\u3001\u4ece\"\u9009\u7535\u5f71\"\u8bf4\u8d77&#xff1a;KNN\u7684\u6734\u7d20\u76f4\u89c9\u4e8c\u3001\u8ddd\u79bb\u600e\u4e48\u7b97&#xff1a;\u4ece\u4e24\u70b9\u516c\u5f0f\u5230n\u7ef4\u7a7a\u95f4\u4e09\u30015\u74f6\u8461\u8404\u9152&#xff0c;\u4e00\u5f20\u8349\u7a3f\u7eb8&#xff1a;\u624b\u7b97KNN\u5168\u8fc7\u7a0b\u56db\u3001\u628a\u9152\u7cbe\u542b\u91cf\u653e\u592710\u500d&#xff1a;\u4e00\u4e2a\u7279\u5f81\u7684\"\u72ec\u88c1\"\u73b0\u573a\u4e94\u3001\u4e24\u79cd\u6807\u51c6\u5316&#xff1a;min-max\u4e0eZ-score5.1 min-max\u6807\u51c6\u5316&#xff08;\u79bb","og_url":"https:\/\/www.wsisp.com\/helps\/84381.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2026-07-26T04:25:48+00:00","og_image":[{"url":"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260726042546-6a658c4a026a7.png"}],"author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"9 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/84381.html","url":"https:\/\/www.wsisp.com\/helps\/84381.html","name":"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2026-07-26T04:25:48+00:00","dateModified":"2026-07-26T04:25:48+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/84381.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/84381.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/84381.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"\u673a\u5668\u5b66\u4e60-\u7b97\u6cd5\u6a21\u578b\u7cfb\u5217\u6587\u7ae0\uff1a04-KNN \u4e0d\u505a\u6807\u51c6\u5316\u5c31\u8dd1KNN\uff1f\u4f60\u7684\u6a21\u578b\u6b63\u5728\u88ab\u4e00\u4e2a\u7279\u5f81\u201c\u72ec\u88c1\u201c"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/84381","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=84381"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/84381\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media\/84380"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=84381"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=84381"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=84381"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=84381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}