{"id":4429,"date":"2025-06-14T14:23:37","date_gmt":"2025-06-14T06:23:37","guid":{"rendered":"https:\/\/www.haruhi.fans\/?p=4429"},"modified":"2025-06-15T21:11:08","modified_gmt":"2025-06-15T13:11:08","slug":"%e6%95%b0%e6%8d%ae%e6%8c%96%e6%8e%98%e5%8f%8a%e5%a4%a7%e6%95%b0%e6%8d%ae%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/www.haruhi.fans\/?p=4429","title":{"rendered":"\u6570\u636e\u6316\u6398\u53ca\u5927\u6570\u636e\u5206\u6790"},"content":{"rendered":"<div class='admonition shadow-sm admonition-primary'><div class='admonition-title'><i class='fa fa-flag'><\/i> \u8003\u8bd5\u5185\u5bb9<\/div><div class='admonition-body'>\u8003\u8bd5\u5f62\u5f0f\uff1a\u5f00\u5377\uff0c\u53ef\u5e26\u4efb\u4f55\u7eb8\u8d28\u8d44\u6599<br \/>\n\u8003\u8bd5\u8bed\u8a00\uff1a\u4e2d\u6587<br \/>\n\u8003\u8bd5\u9898\u578b\uff1a\u7b80\u7b54\u5206\u6790\u8bbe\u8ba1\u9898\uff0865\u5206\uff09\u548c\u8ba1\u7b97\u9898\uff0835\u5206\uff09<br \/>\n\u6ce8\u610f\u4e8b\u9879\uff1a65\u5206\u7684\u7b80\u7b54\u5206\u6790\u8bbe\u8ba1\u9898\u8003\u5bdf\u8bfe\u7a0b\u7b2c1\u8bb2\u2014\u7b2c5\u8bb2\u548c\u7b2c7\u8bb2\u76f8\u5173\u5185\u5bb9\u6982\u5ff5\u548c\u65b9\u6cd5\u7684\u7406\u89e3\u548c\u638c\u63e1\uff1b35\u5206\u7684\u8ba1\u7b97\u9898\u8003\u5bdf\u5bf9\u4e8e\u7b2c6\u7ae0\u548c\u4e01\u73a5\u8001\u5e08\u90e8\u5206\u7b97\u6cd5\u5185\u5bb9\u7684\u638c\u63e1\u3002<br \/>\nInotherword:\u57fa\u672c\u5168\u8003<br \/>\n\u8003\u8bd5\u5efa\u8bae\uff1a\u5e26\u4e0a\u673a\u5668\u5b66\u4e60\u8d44\u6599\uff0c\u6253\u5370PPT\uff08\u4ec5\u4f5c\u67e5\u6f0f\u8865\u7f3a\uff09<br \/>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u8bfe\u7a0b\u6982\u8981<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u805a\u7c7b\uff1a\u662f\u4e00\u4e2a\u628a\u6570\u636e\u5bf9\u8c61\uff08\u6216\u89c2\u6d4b\uff09\u5212\u5206\u6210\u5b50\u96c6\u7684\u8fc7\u7a0b\uff0c\u6bcf\u4e2a\u5b50\u96c6\u662f\u4e00 \u4e2a\u7c07  \u5206\u7c7b\uff1a\u662f\u4e00\u79cd\u91cd\u8981\u7684\u6570\u636e\u5206\u6790\u5f62\u5f0f\uff0c\u5b83\u63d0\u53d6\u523b\u753b\u91cd\u8981\u6570\u636e\u7c7b\u7684\u6a21\u578b<\/li>\n\n\n\n<li>\u5173\u8054\u5206\u6790\uff1a\u82e5\u4e24\u4e2a\u6216\u591a\u4e2a\u53d8\u91cf\u7684\u53d6\u503c\u4e4b\u95f4\u5b58\u5728\u67d0\u79cd\u89c4\u5f8b\u6027\uff0c\u5c31\u79f0\u4e3a\u5173\u8054<\/li>\n\n\n\n<li>\u6570\u636e\u603b\u7ed3\uff1a\u7ee7\u627f\u4e8e\u6570\u636e\u5206\u6790\u4e2d\u7684\u7edf\u8ba1\u5206\u6790\uff0c\u5176\u76ee\u7684\u662f\u5bf9\u6570\u636e\u8fdb\u884c\u6d53\u7f29\uff0c \u7ed9\u51fa\u5b83\u7684\u7d27\u51d1\u63cf\u8ff0 <\/li>\n\n\n\n<li>\u504f\u5dee\u68c0\u6d4b\uff1a\u57fa\u672c\u65b9\u6cd5\u662f\u5bfb\u627e\u89c2\u6d4b\u7ed3\u679c\u4e0e\u53c2\u7167\u503c\u4e4b\u95f4\u6709\u610f\u4e49\u7684\u5dee\u522b\uff0c\u5bf9\u5206 \u6790\u5bf9\u8c61\u4e2d\u5c11\u6570\u7684\u3001\u6781\u7aef\u7684\u7279\u4f8b\u8fdb\u884c\u63cf\u8ff0\uff0c\u89e3\u91ca\u5185\u5728\u539f\u56e0 <\/li>\n\n\n\n<li>\u9884\u6d4b\uff1a\u901a\u8fc7\u5bf9\u6837\u672c\u6570\u636e\uff08\u5386\u53f2\u6570\u636e\uff09\u7684\u8f93\u5165\u503c\u548c\u8f93\u51fa\u503c\u7684\u5173\u8054\u6027\u5b66\u4e60\uff0c \u5f97\u5230\u9884\u6d4b\u6a21\u578b\uff0c\u518d\u5229\u7528\u8be5\u6a21\u578b\u5bf9\u672a\u6765\u7684\u8f93\u5165\u503c\u8fdb\u884c\u8f93\u51fa\u503c\u9884\u6d4b<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-128.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1016\" height=\"1014\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-128.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4432\" style=\"width:269px;height:auto\"  sizes=\"auto, (max-width: 1016px) 100vw, 1016px\" \/><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u8ba4\u8bc6\u6570\u636e<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u7c7b\u578b<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bb0\u5f55\u7c7b\u578b\uff1a\u5173\u7cfb\u8bb0\u5f55\u3001\u6570\u636e\u77e9\u9635\uff08\u5982\u6570\u503c\u77e9\u9635\u4ea4\u53c9\u8868\uff09\u3001\u6587\u6863\u6570\u636e\uff08\u6587\u672c\u53ef\u8868\u793a\u4e3a\u8bcd\u9891\u5411\u91cf\uff09\u548c\u4ea4\u6613\u6570\u636e<\/li>\n\n\n\n<li>\u56fe\u548c\u7f51\u7edc\u7c7b\u578b\uff1a\u4e07\u7ef4\u7f51\u3001\u793e\u4f1a\u6216\u4fe1\u606f\u7f51\u7edc\u4ee5\u53ca\u5206\u5b50\u7ed3\u6784<\/li>\n\n\n\n<li>\u6709\u5e8f\u7c7b\u578b\uff1a\u89c6\u9891\u6570\u636e\uff08\u56fe\u50cf\u5e8f\u5217\uff09\u3001\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u3001\u4ea4\u6613\u5e8f\u5217\u7b49 sequential \u6570\u636e\u548c\u57fa\u56e0\u5e8f\u5217\u6570\u636e<\/li>\n\n\n\n<li>\u7a7a\u95f4\u3001\u56fe\u50cf\u548c\u591a\u5a92\u4f53\u7c7b\u578b\uff1a\u5730\u56fe\u7b49\u7a7a\u95f4\u6570\u636e\u3001\u56fe\u50cf\u6570\u636e\u548c\u89c6\u9891\u6570\u636e<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u5bf9\u8c61\u4e0e\u5c5e\u6027\u7c7b\u578b<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6570\u636e\u5bf9\u8c61\uff1a<\/strong>\u6570\u636e\u96c6\u7531\u6570\u636e\u5bf9\u8c61\u7ec4\u6210\uff0c\u4ee3\u8868\u5b9e\u4f53\uff0c\u5982\u9500\u552e\u6570\u636e\u5e93\u4e2d\u7684\u987e\u5ba2\u7b49\uff0c\u4e5f\u88ab\u79f0\u4e3a\u6837\u672c\u7b49\uff0c\u901a\u5e38\u7528\u5c5e\u6027\u63cf\u8ff0\uff0c\u5bf9\u5e94\u6570\u636e\u5e93\u7684\u884c\uff0c\u5c5e\u6027\u5bf9\u5e94\u5217\u3002<\/li>\n\n\n\n<li><strong>\u5c5e\u6027\u7c7b\u578b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6807\u79f0\u5c5e\u6027\uff1a\u5b9a\u6027\uff0c\u4ee3\u8868\u7c7b\u522b\u7b49\uff0c\u5982\u5934\u53d1\u989c\u8272\u3001\u5a5a\u59fb\u72b6\u51b5\uff0c\u53ef\u7528\u6570\u8868\u793a\u4f46\u6570\u5b66\u8fd0\u7b97\u65e0\u610f\u4e49\u3002<\/li>\n\n\n\n<li>\u4e8c\u5143\u5c5e\u6027\uff1a\u5b9a\u6027\uff0c\u53ea\u6709\u4e24\u4e2a\u72b6\u6001\uff0c\u5bf9\u79f0\u7684\u5982\u6027\u522b\uff0c\u975e\u5bf9\u79f0\u7684\u5982\u533b\u7597\u5316\u9a8c\u7ed3\u679c\uff0c\u901a\u5e38\u5bf9\u91cd\u8981\u7ed3\u679c\u7528 1 \u7f16\u7801\u3002<\/li>\n\n\n\n<li>\u5e8f\u6570\u5c5e\u6027\uff1a\u5b9a\u6027\uff0c\u503c\u6709\u610f\u4e49\u7684\u5e8f\uff0c\u5982\u53ef\u4e50\u676f\u5927\u5c0f\u3001\u6210\u7ee9\uff0c\u53ef\u7528\u4e8e\u7b49\u7ea7\u8bc4\u5b9a\u8c03\u67e5\uff0c\u53ef\u901a\u8fc7\u6570\u503c\u5c5e\u6027\u79bb\u6563\u5316\u5f97\u5230\uff0c\u80fd\u7528\u4f17\u6570\u548c\u4e2d\u4f4d\u6570\u8868\u793a\u4e2d\u5fc3\u8d8b\u52bf\u3002<\/li>\n\n\n\n<li>\u6570\u503c\u5c5e\u6027\uff1a\u5b9a\u91cf\uff0c\u7528\u6574\u6570\u6216\u6570\u503c\u8868\u793a\uff0c\u5206\u4e3a<strong>\u533a\u95f4\u6807\u5ea6<\/strong>\uff08\u5982\u6e29\u5ea6\u3001\u65e5\u671f\uff0c\u6709\u76f8\u7b49\u5355\u4f4d\u5c3a\u5ea6\uff0c<strong>\u65e0\u771f\u6b63\u96f6<\/strong>\uff0c\u4e0d\u80fd\u8ba1\u7b97\u6bd4\u7387\uff09\u548c<strong>\u6bd4\u7387\u6807\u5ea6<\/strong>\uff08\u5982\u5f00\u6c0f\u6e29\u5ea6\u3001\u8d27\u5e01\u91cf\uff0c<strong>\u6709\u56fa\u6709\u96f6\u70b9<\/strong>\uff0c\u53ef\u8ba1\u7b97\u6bd4\u7387\uff09\u3002<\/li>\n\n\n\n<li>\u79bb\u6563\u4e0e\u8fde\u7eed\u5c5e\u6027\uff1a\u79bb\u6563\u5c5e\u6027\u5177\u6709\u6709\u9650\u6216\u65e0\u9650\u53ef\u6570\u4e2a\u503c\uff0c\u5982\u53ef\u4e50\u676f\u5927\u5c0f\u7b49\uff0c\u4e8c\u5143\u5c5e\u6027\u662f\u5176\u7279\u6b8a\u60c5\u51b5\uff1b\u8fde\u7eed\u5c5e\u6027\u901a\u5e38\u7528\u5b9e\u6570\u8868\u793a\uff0c\u5982\u6e29\u5ea6\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u7684\u57fa\u672c\u7edf\u8ba1\u63cf\u8ff0<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e2d\u5fc3\u8d8b\u52bf\u5ea6\u91cf<\/h4>\n\n\n\n<p>\u53ef\u901a\u8fc7\u5747\u503c\uff08Mean,\u7b97\u6570\u5747\u503c\u3001\u52a0\u6743\u5e73\u5747\u3001\u622a\u5c3e\u5747\u503c[\u53bb\u6389\u51e0\u4e2a\u5c11\u6570\u6781\u7aef\u6570\u503c]\uff09\u3001\u4e2d\u4f4d\u6570\uff08Median,\u6709\u5e8f\u6570\u636e\u4e2d\u95f4\u503c\uff0cN \u4e3a\u5076\u6570\u65f6\u6309\u516c\u5f0f\u8ba1\u7b97\uff09\u3001\u4f17\u6570\uff08Mode,\u51fa\u73b0\u6700\u9891\u7e41\u7684\u503c\uff0c\u53ef\u80fd\u591a\u4e2a\uff09\u3001\u4e2d\u5217\u6570\uff08\u6700\u5927\u6700\u5c0f\u503c\u5e73\u5747\u503c\uff09\u6765\u5ea6\u91cf\u4e2d\u5fc3\u8d8b\u52bf\u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong>\u4e2d\u4f4d\u6570\u8fd1\u4f3c\u503c\u8ba1\u7b97<\/strong>\uff08\u6839\u636e\u533a\u95f4\uff09<\/h5>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-130.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"558\" height=\"499\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-130.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4434\"  sizes=\"auto, (max-width: 558px) 100vw, 558px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-129.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"733\" height=\"136\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-129.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4433\"  sizes=\"auto, (max-width: 733px) 100vw, 733px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<p>\u603b\u9891\u6570\u4e3an\uff0cL1\u662f\u4e2d\u4f4d\u6570\u533a\u95f4\u4e0b\u7ebf\uff0c(\u2211freq)<sub>l<\/sub>\u662f\u4e2d\u4f4d\u6570\u533a\u95f4\u4e4b\u524d\u7d2f\u79ef\u7684\u9891\u7387freq<sub>median<\/sub>\u662f\u4e2d\u4f4d\u6570\u533a\u95f4\u9891\u7387\uff0cwidth\u662f\u4e2d\u4f4d\u6570\u533a\u95f4\u7684\u5bbd\u5ea6<\/p>\n\n\n\n<p>\u603b\u9891\u7387\u8ba1\u7b97\u5f97200+450+300+1500+700+44=3194<br>n\/2\u4e3a1597\uff0c\u5bf9\u5e94\u572821-50\u533a\u95f4\uff0c\u4e4b\u524d\u7684\u7d2f\u8ba1\u8bc4\u9891\u7387950<br>freq<sub>median<\/sub>=1500\uff0cwidth=50-21=29<br>\u6700\u540e\u53ef\u4ee5\u5f97\u5230\uff0cmedian=21 + (1597-950)*29\/1500 = 33.51<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong>\u4f17\u6570\u8fd1\u4f3c\u503c<\/strong><\/h5>\n\n\n\n<p><strong>\u5bf9\u79f0\u6570\u636e\uff1a<\/strong>\u5747\u503c\u3001\u4e2d\u4f4d\u6570\u3001\u4f17\u6570\u4e00\u81f4<br>\u5bf9\u4e8e\u9002\u5ea6\u503e\u659c(\u975e\u5bf9\u79f0)\u7684\u5355\u5cf0\u6570\u503c\u6570\u636e\uff0c\u4f17\u6570\u8fd1\u4f3c\u503c\u8ba1\u7b97\uff1a<br>mean &#8211; mode = 3 x (mean &#8211; median)<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-133.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"402\" height=\"326\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-133.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4437\" style=\"width:327px;height:auto\"  sizes=\"auto, (max-width: 402px) 100vw, 402px\" \/><\/div><\/figure>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-132.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"397\" height=\"261\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-132.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4436\"  sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/div><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e<strong>\u6563\u5e03<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6781\u5dee\uff1a\u6700\u5927\u503c\u51cf\u6700\u5c0f\u503c<\/li>\n\n\n\n<li>\u5206\u4f4d\u6570\uff1a\u628a\u6570\u636e\u5206\u6210n\u4e2a\u76f8\u540c\u7684\u96c6\u5408\uff0c\u5982 2 &#8211; \u5206\u4f4d\u6570\u5373\u4e2d\u4f4d\u6570\uff0c4 &#8211; \u5206\u4f4d\u6570\u6709 3 \u4e2a\u70b9\u5206\u6570\u636e\u4e3a\u56db\u90e8\u5206\u7b49<\/li>\n\n\n\n<li>\u56db\u5206\u4f4d\u6570\u6781\u5dee\uff1aIQR=Q3-Q1\uff0c\u537375%\u5206\u4f4d\u6570-25%\u5206\u4f4d\u6570<\/li>\n\n\n\n<li>\u5b64\u7acb\u70b9\uff08\u5f02\u5e38\u503c\uff09\uff1a\u9ad8\u4e8e Q3 \u6216\u4f4e\u4e8e Q1 1.5\u00d7IQR \u7684\u70b9<\/li>\n\n\n\n<li>\u4e94\u6570\u6982\u62ec\uff1amin(Q1-1.5IQR)\uff0cQ1\uff0cmedian\uff0cQ3 \uff0cmax(Q3+1.5IQR)<\/li>\n\n\n\n<li>\u76d2\u56fe\uff1a\u6570\u636e\u5206\u5e03\u7684\u4e00\u79cd\u76f4\u89c2\u8868\u793a\uff0c\u53ef\u4ee5\u5c55\u793a\u4e2d\u5fc3\u503e\u5411\uff0c\u504f\u5ea6\uff0c\u5206\u5e03\uff0c\u79bb\u7fa4\u503c\u3002\u5185\u5bb9\u5982\u4e0b\uff1a<br><img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-135.png\" alt=\"\"><\/li>\n\n\n\n<li>\u65b9\u5dee\uff1a\u516c\u5f0f\u5982\u4e0b\uff0c\u6807\u51c6\u5dee\u4e3a\u65b9\u5dee\u5e73\u65b9\u6839<br><img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-136.png\" alt=\"\"><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u56fe\u5f62\u5c55\u793a<\/h4>\n\n\n\n<p>\u5bf9\u4e8e\u4ee5\u4e0b\u6570\u636e\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-137.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"283\" height=\"261\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-137.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4445\"\/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e00\u5143\u5206\u5e03\n<ul class=\"wp-block-list\">\n<li><strong>\u5206\u4f4d\u6570\u56fe<\/strong>\uff1a\u4e00\u4e2axi\u548c\u4e00\u4e2a\u767e\u5206\u6bd4\u6570fi\u914d\u5bf9\u3002\u7528\u6765\u89c2\u5bdf\u53d8\u91cfx\u7684\u5206\u5e03<br><img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-138.png\" alt=\"\"><\/li>\n\n\n\n<li><strong>\u5206\u4f4d\u6570<\/strong>&#8211;<strong>\u5206\u4f4d\u6570\u56fe<\/strong>\uff1a\u89c2\u5bdf\u4e24\u7ec4x\u7684\u5206\u5e03\uff0c\u5224\u65ad\u4e00\u4e2a\u5206\u5e03\u5230\u53e6\u4e00\u4e2a\u5206\u5e03\u662f\u5426\u6709\u6f02\u79fb<br><img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-139.png\" alt=\"\"><\/li>\n\n\n\n<li><strong>\u76f4\u65b9\u56fe<\/strong>\uff1a\u5bf9\u4e8e\u6807\u79f0\u5c5e\u6027X\u7684\u6bcf\u4e00\u4e2a\u503c\u753b\u4e00\u4e2a\u67f1\u5b50\u8868\u793a\u9891\u7387<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-140.png\" alt=\"\"><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u4e8c\u5143\u5206\u5e03\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6563\u70b9\u56fe\uff1a\u89c2\u5bdf\u4e24\u4e2a\u6570\u503c\u53d8\u91cf\uff08\u70b9\u7c07\u548c\u79bb\u7fa4\u70b9\uff09\u53ca\u5176\u76f8\u5173\u8054\u7cfb\u7684\u53ef\u80fd\u6027<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-141-1024x492.png\" alt=\"\"><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u53ef\u89c6\u5316<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u57fa\u4e8e\u50cf\u7d20\u7684\u53ef\u89c6\u5316\u6280\u672f\n<ul class=\"wp-block-list\">\n<li>\u5c06 m \u7ef4\u6570\u636e\u96c6\u6620\u5c04\u5230 m \u4e2a\u7a97\u53e3\u7684\u50cf\u7d20\uff08\u6bcf\u4e2a\u7ef4\u5ea6\u4e00\u4e2a\uff09\uff0c\u50cf\u7d20\u6df1\u6d45\u8868\u793a\u5bf9\u5e94\u7684\u503c\u7684\u5927\u5c0f<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-142.png\" alt=\"\">\n<ul class=\"wp-block-list\">\n<li>\u7f3a\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u7ebf\u6027\u5b89\u6392\u586b\u5145\u7a97\u53e3\u6548\u679c\u4e0d\u597d<\/strong>\uff0c\u5bf9\u4e8e\u540c\u4e00\u884c\u7684\u50cf\u7d20\uff0c\u5e94\u8be5\u662f\u5f7c\u6b64\u8d34\u8fd1\u7684\n<ul class=\"wp-block-list\">\n<li>\u89e3\u51b3\uff1a\u4f7f\u7528\u7a7a\u95f4\u586b\u5145\u66f2\u7ebf\uff08\u5982Hilbert curve\uff0cGraycode\uff0cZ-curve\u7b49\uff09<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-143.png\" alt=\"\"><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7a7a\u95f4\u6d6a\u8d39\u591a\uff0c\u6bd4\u8f83\u4e0d\u660e\u663e<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u89e3\u51b3\uff1a\u91c7\u7528\u5706\u5f13\u5206\u5272\u6280\u672f\uff0c\u663e\u793a\u591a\u7ef4\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-144.png\" alt=\"\"><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u51e0\u4f55\u6295\u5f71\u53ef\u89c6\u5316\u6280\u672f<\/strong>\uff1a\u89e3\u51b3\u9ad8\u7ef4\u7a7a\u95f4\u4e8c\u7ef4\u663e\u793a\uff0c\u6563\u70b9\u56fe\u7528\u7b1b\u5361\u5c14\u5750\u6807\u663e\u793a\u4e8c\u7ef4\u6570\u636e\uff0c\u6563\u70b9\u56fe\u77e9\u9635\u662f n\u00d7n \u7f51\u683c\u5c55\u793a n \u7ef4\u6570\u636e\uff0c\u5e73\u884c\u5750\u6807\u7528 n \u4e2a\u5e73\u884c\u8f74\uff0c\u6570\u636e\u8bb0\u5f55\u7528\u6298\u7ebf\u8868\u793a\u3002<\/li>\n\n\n\n<li><strong>\u57fa\u4e8e\u56fe\u7b26\u7684\u53ef\u89c6\u5316\u6280\u672f<\/strong>\uff1a\u7528\u56fe\u7b26\u53ef\u89c6\u5316\u6570\u636e\u503c\uff0c\u5207\u5c14\u8bfa\u592b\u8138\u7528\u9762\u90e8\u7279\u5f81\u8868\u793a\u591a\u7ef4\u6570\u636e\uff0c\u4eba\u7269\u7ebf\u6761\u753b\u7528\u56db\u80a2\u548c\u8eaf\u5e72\u8868\u793a\u591a\u7ef4\u6570\u636e\u3002<\/li>\n\n\n\n<li><strong>\u5c42\u6b21\u53ef\u89c6\u5316\u6280\u672f<\/strong>\uff1a\u5c06\u7ef4\u5212\u5206\u5b50\u96c6\u6309\u5c42\u6b21\u53ef\u89c6\u5316\uff0c\u5982 \u201c\u4e16\u754c\u4e2d\u7684\u4e16\u754c\u201d \u548c\u6811\u56fe\uff08\u5982 Google \u65b0\u95fb\u62a5\u5bfc\u53ef\u89c6\u5316\uff09\u3002<\/li>\n\n\n\n<li><strong>\u53ef\u89c6\u5316\u590d\u6742\u5bf9\u8c61\u548c\u5173\u7cfb<\/strong>\uff1a\u6807\u7b7e\u4e91\u7528\u5b57\u4f53\u5927\u5c0f\u6216\u989c\u8272\u8868\u793a\u6807\u7b7e\u91cd\u8981\u6027\uff0c\u75be\u75c5\u5f71\u54cd\u56fe\u7528\u7ed3\u70b9\u5927\u5c0f\u548c\u8fb9\u5bbd\u5ea6\u8868\u793a\u75be\u75c5\u6d41\u884c\u7a0b\u5ea6\u548c\u76f8\u5173\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u5ea6\u91cf\u6570\u636e\u76f8\u4f3c\u6027\u548c\u76f8\u5f02\u6027<\/h3>\n\n\n\n<p>\u4e3a\u4ec0\u4e48\u8981\u5ea6\u91cf\u8fd9\u4e2a\u76f8\u4f3c\u6027\u548c\u76f8\u5f02\u6027\uff1f<br>\u5546\u5bb6\u53ef\u4ee5\u901a\u8fc7<strong>\u805a\u7c7b<\/strong>\u53d1\u73b0\u987e\u5ba2\u7fa4\u4f53\uff0c\u66f4\u5177\u9488\u5bf9\uff1b<strong>\u79bb\u7fa4\u70b9\u5206\u6790<\/strong>\u53ef\u4ee5\u68c0\u6d4b\u663e\u8457\u4e0d\u540c\u7684\u5bf9\u8c61\uff0c\u4f8b\u5982\u94f6\u884c\u53d1\u73b0\u8bc8\u9a97\uff1b\u533b\u7597\u9886\u57df\u53ef\u4ee5\u901a\u8fc7<strong>\u6700\u8fd1\u90bb\u5206\u7c7b<\/strong>\u7ed9\u60a3\u8005\u5206\u914d\u8bca\u65ad\u6807\u7b7eor\u75be\u75c5\u7c7b\u578b\u3002<\/p>\n\n\n\n<p>\u76f8\u4f3c\u6027\uff1a\u63cf\u8ff0\u4e24\u4e2a\u6570\u636e<strong>\u76f8\u4f3c\u7a0b\u5ea6<\/strong>\u7684\u6570\u503c\uff0c\u8303\u56f4[0,1]\uff0c\u8d8a\u5927\u8d8a\u76f8\u4f3c\uff1b<br>\u76f8\u5f02\u6027\uff1a\u63cf\u8ff0\u4e24\u4e2a\u5bf9\u8c61<strong>\u4e0d\u540c\u7a0b\u5ea6<\/strong>\u7684\u6570\u503c\uff0c\u5982\u8ddd\u79bb\uff0c\u4e00\u822c\u8d8a\u4e0d\u76f8\u4f3c\u8d8a\u5927\uff0c\u6700\u5c0f\u901a\u5e38\u4e3a0<\/p>\n\n\n\n<p>\u90a3\u600e\u4e48\u63cf\u8ff0\u8fd9\u4e2a\u6570\u503c\u5462\uff1f\u7528\u77e9\u9635<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u6570\u636e\u77e9\u9635\u4e0e\u76f8\u5f02\u6027\u77e9\u9635<\/strong><\/h4>\n\n\n\n<p><strong>\u6570\u636e\u77e9\u9635\uff1a<\/strong>&nbsp;n\u00d7p \u77e9\u9635\u5b58\u653e n \u4e2a\u5bf9\u8c61 p \u4e2a\u5c5e\u6027<br><strong>\u76f8\u5f02\u6027\u77e9\u9635<\/strong>\uff1an*n\u7684\u4e0a\/\u4e0b\u4e09\u89d2\u77e9\u9635\u8868\u793a\u4e24\u4e2a\u5bf9\u8c61\u4e4b\u95f4\u7684\u76f8\u5f02\u6027\u503c\uff0c\u53cd\u8fc7\u6765\u76f8\u4f3c\u6027 sim (i)=1-d (i)\u3002\u53ef\u4ee5\u770b\u5230\u5bf9\u89d2\u7ebf\u90fd\u4e3a0\uff0c\u8fd9\u662f\u56e0\u4e3a\u4e00\u4e2a\u5bf9\u8c61\u548c\u81ea\u5df1\u7684\u5dee\u522b\uff08\u76f8\u5f02\u6027\uff09\u4e3a0<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-145.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"220\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-145.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4456\" style=\"width:250px;height:auto\"  sizes=\"auto, (max-width: 329px) 100vw, 329px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-147.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"220\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-147.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4458\" style=\"width:276px;height:auto\"  sizes=\"auto, (max-width: 366px) 100vw, 366px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<h5 class=\"wp-block-heading\">\u8ba1\u7b97\u76f8\u5f02\u6027<\/h5>\n\n\n\n<p><strong>\u6807\u79f0\u5c5e\u6027<\/strong>\uff1a\u4f7f\u7528\u4e0d\u5339\u914d\u7387 d(<em>i<\/em>,<em>j<\/em>) = (p-m)\/p\uff0cm\u662f\u5339\u914d\u5c5e\u6027\u6570\uff08i\u548cj\u53d6\u503c\u76f8\u540c\u72b6\u6001\u7684\u5c5e\u6027\uff09\uff0cp\u662f\u5c5e\u6027\u603b\u6570\u3002\u5982 1\u662fA \uff0c2\u662fB\uff0c3\u662fA\uff1b\u5219sim(1,2)=(1-0)\/1=1\uff1bsim(1,3)=(1-1)\/1=0\uff1b<\/p>\n\n\n\n<p><strong>\u4e8c\u5143\u5c5e\u6027<\/strong>\uff1a\u53ea\u6709\u4e24\u79cd\u72b6\u60010\u548c1\uff0c0\u8868\u793a\u4e0d\u51fa\u73b0\uff0c1\u8868\u793a\u51fa\u73b0\u3002\u90a3\u4e48\u5982\u4f55\u8ba1\u7b97\u5462\uff1f<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u5bf9\u4e8e\u5bf9\u8c61I\u548cJ\uff0c\u5b9a\u4e49\uff1a<br>q \u662f\u5bf9\u8c61 I \u548c J \u90fd\u53d61\u7684\u5c5e\u6027\u6570<br>r \u662f\u5bf9\u8c61 I \u53d61\uff0c\u5bf9\u8c61J\u53d60\u7684\u5c5e\u6027\u6570<br>s \u662f\u5bf9\u8c61 I \u53d60\uff0c\u5bf9\u8c61J\u53d61\u7684\u5c5e\u6027\u6570<br>t \u662f\u5bf9\u8c61 I \u548c J \u90fd\u53d60\u7684\u5c5e\u6027\u6570<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-148.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"510\" height=\"239\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-148.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4459\"  sizes=\"auto, (max-width: 510px) 100vw, 510px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<p>\u90a3\u4e48\u5f97\u5230\u4e8c\u5143\u5c5e\u6027<strong>\u5bf9\u79f0\u65f6\u76f8\u5f02\u6027<\/strong> d(<em>i<\/em>,<em>j<\/em>) = (r+s)\/(q+r+s+t)<\/p>\n\n\n\n<p>\u4f46\u6709\u65f6\uff0c\u8ba4\u4e3a\u8d1f\u5339\u914d\u4e0d\u91cd\u8981\uff0c\u5ffd\u7565\u6389t\uff0c\u6b64\u65f6\u5f97\u5230\u7684\u662f<strong>\u975e\u5bf9\u79f0\u76f8\u5f02\u6027<\/strong>\uff0c\u6b64\u65f6\u5f97\u5230\uff1a<br>d(<em>i<\/em>,<em>j<\/em>) = (r+s)\/(q+r+s)<br>\u6b64\u65f6\u7684\u76f8\u4f3c\u5ea6\u88ab\u79f0\u4e3aJaccard\u7cfb\u6570\uff0c\u5373\uff1a<br>sim<sub>Jaccard<\/sub>=q\/(q+r+s)<\/p>\n\n\n\n<p><strong>\u6570\u503c\u5c5e\u6027<\/strong>\uff1a\u523b\u753b\u5bf9\u8c61\u4e4b\u95f4\u76f8\u5f02\u6027\u7684\u8ddd\u79bb\u5ea6\u91cf<br>\u6b27\u6c0f\u8ddd\u79bb\uff08\u95f5\u53ef\u592b\u65af\u57fa\u8ddd\u79bbh=2\uff09\uff0c\u66fc\u54c8\u987f\u8ddd\u79bb\uff08\u95f5\u53ef\u592b\u65af\u57fa\u8ddd\u79bbh=1\uff09\uff0c\u95f5\u53ef\u592b\u65af\u57fa\u8ddd\u79bb\uff0c\u5207\u6bd4\u96ea\u592b\u8ddd\u79bb\uff08h-&gt;\u221e\uff0c\u5f97\u5230\u4e0a\u786e\u8ddd\u79bb\uff0c\u5404\u5750\u6807\u6570\u503c\u5dee\u4e2d\u7684\u6700\u5927\u503c\u4e3a\u5c06\u4ea7\u751f\u4e24\u4e2a\u5bf9\u8c61\u7684\u6700\u5927\u503c\u5dee\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-152.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"744\" height=\"114\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-152.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4463\" style=\"width:488px;height:auto\"  sizes=\"auto, (max-width: 744px) 100vw, 744px\" \/><\/div><\/figure>\n\n\n\n<p><strong>\u5e8f\u6570\u5c5e\u6027<\/strong>\uff1a\u5c06\u503c\u6620\u5c04\u5230\u6392\u4f4d\uff0c\u518d\u5747\u5300\u6620\u5c04\u5230 [0,1]\uff0c\u7528\u8ddd\u79bb\u5ea6\u91cf\u8ba1\u7b97\u3002\u6ce8\u610f\u9700\u8981\u8986\u76d6\u6240\u6709\u7684\u53ef\u80fd\u53d6\u503c\u3002<br>\u5982\u8bc4\u5206\u6709\u4f18\u826f\u4e2d\u5dee\u56db\u79cd\uff0c\u54ea\u6015\u53ea\u51fa\u73b0\u4f18\u826f\u4e2d\u7ec4\u5408\uff0c\u90a3\u4e48\u4e5f\u5e94\u8be5\u662f\uff081\uff0c0.66\uff0c0.33\uff09\uff1bd(i,j)\u4e8c\u8005\u76f4\u63a5\u76f8\u51cf\u5c31\u53ef\u4ee5<\/p>\n\n\n\n<p><strong>\u6df7\u5408\u5c5e\u6027<\/strong>\uff1a\u9488\u5bf9\u6570\u636e\u7ed3\u6784\uff0c\u628a\u4e0a\u9762\u56db\u4e2a\u5168\u90e8\u90fd\u7ed3\u5408\u8d77\u6765\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u5bf9\u8c61I\u548cj\u4e4b\u95f4\u7684\u76f8\u5f02\u6027d(I,j)\u5b9a\u4e49\u4e3a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-153.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"79\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-153.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4464\" style=\"width:184px;height:auto\"\/><\/div><\/figure>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9488\u5bf9\u6bcf\u4e00\u4e2a\u5c5e\u6027f\uff0c\u5bf9\u4e8e\u5176\u5bf9I\u548cJ\u4e4b\u95f4\u7684\u8d21\u732e\u5ea6d<sub>ij<\/sub><sup>(f)<\/sup>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u4e8e\u4e8c\u5143\u5c5e\u6027\/\u6807\u79f0\u5c5e\u6027\uff0c\u76f8\u7b49\u4e3a0\uff0c\u76f8\u5f02\u4e3a1<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u5e8f\u6570\u5c5e\u6027\uff0c\u6620\u5c04\u5230[0,1]\u7136\u540e\u5f53\u4f5c\u6570\u503c\u5c5e\u6027<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6570\u503c\u5c5e\u6027\uff0c\u6620\u5c04\u5230[0,1]\u7136\u540e\u8ba1\u7b97<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6307\u793a\u7b26\u03b4<sub>ij<\/sub><sup>(f)<\/sup>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5982\u679c\u4e24\u4e2a\u503c\u6709\u4efb\u4e00\u4e2a\u7f3a\u5931\uff0c\u6216\u8005\u5728\u8be5\u5c5e\u6027\u662f\u975e\u5bf9\u79f0\u4e8c\u5143\u5c5e\u6027\u7684\u524d\u63d0\u4e0b\u4e8c\u8005\u503c\u5747\u4e3a0\u65f6\uff0c\u03b4<sub>ij<\/sub><sup>(f)<\/sup>=0\uff1b\u5176\u4f59\u60c5\u51b5\u4e3a1<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u4f8b\u9898\uff1atext-1\u4e3a<strong>\u6807\u79f0<\/strong>\u5c5e\u6027\uff0ctest-2\u4e3a\u5305\u62ec\u4f18\u826f\u4e2d\u7684\u5e8f\u6570\u5c5e\u6027\uff0ctest-3\u4e3a\u6570\u503c\u5c5e\u6027<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-154.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"847\" height=\"191\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-154.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4465\"  sizes=\"auto, (max-width: 847px) 100vw, 847px\" \/><\/div><\/figure>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u5bf9\u4e8etest1\uff0c\u5355\u4e2a\u5c5e\u6027\u60c5\u51b5\u53ea\u6709\u76f8\u540c\u4e3a1\uff0c\u5176\u4f59\u4e3a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-156.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"112\" height=\"90\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-156.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4467\"\/><\/div><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u5bf9\u4e8etest2\uff0c\u6620\u5c04\u540e\u4f18\u826f\u4e2d\u5206\u522b\u4e3a\uff081,0.5,0\uff09\uff0c\u56e0\u6b64<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-158.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"152\" height=\"86\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-158.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4469\" style=\"width:154px;height:auto\"  sizes=\"auto, (max-width: 152px) 100vw, 152px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u5bf9\u4e8etest3\uff0c\u4ee5\u6700\u5927\u503c64\u523022\u7684\u5dee\u6765\u683c\u5f0f\u5316\uff0c\u56e0\u6b641\u4e3a(45-22)\/(64-22)=0.55\uff0c2\u4e3a0\uff0c3\u4e3a1\uff0c4\u4e3a(28-22)\/(64-22)=0.14\uff0c\u56e0\u6b64d(1,2)=0.55,d(1,3)=0.45,d(1,4)=0.40&#8230;&#8230;.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-159.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"253\" height=\"104\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-159.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4472\" style=\"width:336px;height:auto\"\/><\/div><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u6700\u540e\uff0c\u7531\u4e8e\u6ca1\u6709\u51fa\u73b0\u503c\u7684\u7f3a\u5931\uff0c\u4e5f\u6ca1\u6709\u51fa\u73b0\u975e\u5bf9\u79f0\u4e8c\u5143\u5c5e\u6027\uff0c\u76f4\u63a5\u524d\u4e09\u4e2a\u77e9\u9635\u5bf9\u5e94\u4f4d\u7f6e\u76f8\u52a0\u6c42\u5e73\u5747\u5373\u53ef<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-161.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"289\" height=\"126\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-161.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4474\" style=\"width:256px;height:auto\"\/><\/div><\/figure>\n<\/div>\n\n\n\n<p><strong>\u7a00\u758f\u6570\u636e\u5ea6\u91cf<\/strong>\uff1a\u5982\u6587\u6863\u8bcd\u5411\u91cf\u9891\u7387\uff0c\u91c7\u7528\u4f59\u5f26\u76f8\u4f3c\u5ea6 sim(x,y)= <em>cos<\/em>(<em>x<\/em>,<em>y<\/em>) = xy \/ (||x|| ||y||)\uff0c\u4e8c\u5143\u5c5e\u6027\u65f6\u5019\u79f0\u4e3aTanimoto \u7cfb\u6570\uff0c\u6b64\u65f6\u4f59\u5f26\u51fd\u6570\u53ef\u4ee5\u5199\u6210sim(x,y) = xy\/(xx+yy-xy) <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6570\u636e\u9884\u5904\u7406<\/h2>\n\n\n\n<p>\u4e3a\u4ec0\u4e48\u8981\u5bf9\u5927\u6570\u636e\u9884\u5904\u7406\u5462\uff1f<br>\u539f\u59cb\u6570\u636e\u5e38\u5b58\u5728\u4e0d\u5b8c\u6574\u3001\u91cd\u590d\u3001\u9519\u8bef\u7b49\u95ee\u9898\uff0c\u76f4\u63a5\u4f7f\u7528\u4f1a\u4e25\u91cd\u5f71\u54cd\u51b3\u7b56\u7684\u51c6\u786e\u6027\u548c\u6548\u7387\uff0c\u9884\u5904\u7406\u901a\u8fc7\u6e05\u6d17\u3001\u96c6\u6210\u7b49\u4efb\u52a1\u63d0\u5347\u6570\u636e\u8d28\u91cf\uff0c\u662f\u5206\u6790\u7684\u5173\u952e\u524d\u63d0\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u6570\u636e\u8d28\u91cf\uff0c\u6709\u51e0\u4e2a\u8861\u91cf\u56e0\u7d20\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u51c6\u786e\u6027 | \u6570\u636e\u6b63\u786e\u6027 | \u8bbe\u5907\u6545\u969c\u3001\u8f93\u5165\u9519\u8bef\u3001\u4f20\u8f93\u9519\u8bef\u7b49<\/li>\n\n\n\n<li>\u5b8c\u6574\u6027 | \u65e0\u7f3a\u5931\u5c5e\u6027 | \u5c5e\u6027\u672a\u8bb0\u5f55\u3001\u8f93\u5165\u65f6\u5ffd\u7565\u7b49<\/li>\n\n\n\n<li>\u4e00\u81f4\u6027 | \u6570\u636e\u7edf\u4e00 | \u90e8\u5206\u6570\u636e\u4fee\u6539\u3001\u5386\u53f2\u6570\u636e\u5ffd\u7565\u7b49 <\/li>\n\n\n\n<li>\u65f6\u6548\u6027 | \u6570\u636e\u53ca\u65f6\u66f4\u65b0 | \u6708\u672b\u6570\u636e\u672a\u53ca\u65f6\u63d0\u4ea4\u7b49<\/li>\n\n\n\n<li>\u53ef\u4fe1\u6027 | \u6570\u636e\u53ef\u4fe1\u5ea6 | \u56e0\u4e3a\u5386\u53f2\u9519\u8bef\u5bfc\u81f4\u7528\u6237\u4e0d\u518d\u4fe1\u4efb<\/li>\n\n\n\n<li>\u53ef\u89e3\u91ca\u6027 | \u6570\u636e\u6613\u7406\u89e3\u6027 | \u7f16\u7801\u590d\u6742\u96be\u89e3\u91ca<\/li>\n<\/ul>\n\n\n\n<p>\u57fa\u4e8e\u6570\u636e\u6e90\u7684\u810f\u6570\u636e\u5206\u7c7b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-162.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"684\" height=\"432\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-162.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4479\" style=\"width:372px;height:auto\"  sizes=\"auto, (max-width: 684px) 100vw, 684px\" \/><\/div><\/figure>\n\n\n\n<p>\u90a3\u4e48\u5982\u4f55\u4e0e\u5904\u7406\u5462\uff1f\u5c31\u662f\u4e0b\u9762\u56db\u6b65\u4e86\u6570\u636e\u6e05\u6d17\uff0c\u6570\u636e\u96c6\u6210\uff0c\u6570\u636e\u89c4\u7ea6\uff0c\u6570\u636e\u53d8\u6362\u4e0e\u79bb\u6563\u5316<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u6e05\u6d17<\/h3>\n\n\n\n<p>why\u9700\u8981\uff1f\u73b0\u5b9e\u6570\u636e\u56e0\u8bbe\u5907\u6545\u969c\u3001\u8f93\u5165\u9519\u8bef\u7b49\u539f\u56e0\u5e38\u4e3a \u201c\u810f\u6570\u636e\u201d\uff0c\u76f4\u63a5\u4f7f\u7528\u5f71\u54cd\u5206\u6790\u51c6\u786e\u6027\uff0c\u6570\u636e\u6e05\u6d17\u662f\u6570\u636e\u9884\u5904\u7406\u5173\u952e\u73af\u8282\u3002<\/p>\n\n\n\n<p>\u810f\u6570\u636e\u7c7b\u578b\uff1a&nbsp;\u7f3a\u5931\u503c\uff08\u5c5e\u6027\u503c\u6216\u5c5e\u6027\u7f3a\u5931\uff09\uff0c\u566a\u58f0\u6570\u636e\uff08\u9519\u8bef\u6216\u504f\u79bb\u503c\uff09\uff0c\u4e0d\u4e00\u81f4\u6570\u636e\uff08\u7f16\u7801 \/ \u540d\u79f0\u5dee\u5f02\uff09\uff0c\u4eba\u4e3a\u56e0\u7d20\uff08\u6545\u610f\u586b\u5199\u9519\u8bef\uff09<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u7f3a\u5931\u503c\u5904\u7406\u65b9\u6cd5<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u65b9\u6cd5<\/th><th>\u8bf4\u660e<\/th><th>\u9002\u7528\u573a\u666f<\/th><\/tr><\/thead><tbody><tr><td>\u5ffd\u7565\u5143\u7ec4<\/td><td>\u5220\u9664\u542b\u7f3a\u5931\u503c\u5143\u7ec4<\/td><td>\u7c7b\u6807\u53f7\u7f3a\u5931\u4e14\u7f3a\u5931\u6bd4\u4f8b\u5927\uff1b\u5f53\u6bcf\u4e2a\u5c5e\u6027\u7f3a\u5931\u503c\u767e\u5206\u6bd4\u5f88\u5927\u65f6\u5019\u6027\u80fd\u5f88\u5dee<\/td><\/tr><tr><td>\u4eba\u5de5\u586b\u5199<\/td><td>\u624b\u52a8\u8865\u5168<\/td><td>\u6570\u636e\u91cf\u5c0f\u4e14\u91cd\u8981\uff1b\u4f46\u8d39\u4e8b<\/td><\/tr><tr><td>\u5168\u5c40\u5e38\u91cf\u586b\u5145<\/td><td>\u7528\u56fa\u5b9a\u503c\uff08\u5982 unknown\uff09\u586b\u5145<\/td><td>\u5feb\u901f\u5904\u7406<\/td><\/tr><tr><td>\u4e2d\u5fc3\u5ea6\u91cf\u586b\u5145<\/td><td>\u7528\u5747\u503c \/ \u4e2d\u4f4d\u6570\u586b\u5145<\/td><td>\u6570\u503c\u578b\u6570\u636e<\/td><\/tr><tr><td>\u540c\u7c7b\u7edf\u8ba1\u91cf\u586b\u5145<\/td><td>\u7528\u540c\u7c7b\u6837\u672c\u5747\u503c \/ \u4e2d\u4f4d\u6570\u586b\u5145<\/td><td>\u5206\u7c7b\u6570\u636e\uff08\u5982\u6309\u98ce\u9669\u7b49\u7ea7\u5206\u987e\u5ba2\uff09\uff0c\u76f8\u5bf9\u79d1\u5b66<\/td><\/tr><tr><td>\u63a8\u7406\u586b\u5145<\/td><td>\u56de\u5f52\u3001\u51b3\u7b56\u6811\u7b49\u63a8\u65ad\u6700\u53ef\u80fd\u503c<\/td><td>\u9700\u5efa\u6a21\u63a8\u65ad<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u566a\u58f0\u5904\u7406\u65b9\u6cd5<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5206\u7bb1\u5e73\u6ed1\n<ul class=\"wp-block-list\">\n<li>\u6b65\u9aa4\uff1a\u6392\u5e8f\u2192\u5206\u7bb1\u2192\u6309\u7bb1\u5747\u503c \/ \u4e2d\u4f4d\u6570 \/ \u8fb9\u754c\u503c\u5e73\u6ed1\u3002<\/li>\n\n\n\n<li>\u5982\uff1a\u5e8f\u5217{4,8,15,21,21,24,25,28,34}\uff0c\u5148\u5212\u5206\u4e3a{4,8,15}{21,21,24}{,25,28,34}\n<ul class=\"wp-block-list\">\n<li>\u5747\u503c\u5149\u6ed1\uff1a{9,9,9}{22,22,22}{29,29,29}<\/li>\n\n\n\n<li>\u8fb9\u754c\u5149\u6ed1\uff1a{4,4,15}{21,21,24}{25,25,34}\uff08\u6bcf\u4e2a\u6570\u9009\u62e9\u79bb\u81ea\u5df1\u6700\u8fd1\u7684\u8fb9\u754c\u503c\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u56de\u5f52\uff1a\u7528\u51fd\u6570\u62df\u5408\u6570\u636e\uff08\u5982\u7ebf\u6027\u56de\u5f52\uff09\uff0c\u4f7f\u4e00\u4e2a\u5c5e\u6027\u53ef\u4ee5\u9884\u6d4b\u53e6\u4e00\u4e2a<\/li>\n\n\n\n<li>\u805a\u7c7b\uff1a\u5220\u9664\u79bb\u7fa4\u70b9<\/li>\n\n\n\n<li>\u8ba1\u7b97\u673a\u548c\u4eba\u5de5\u68c0\u67e5\u7ed3\u5408\uff1a\u68c0\u67e5\u53ef\u7591\u7684\u503c\uff0c\u7ed3\u5408\u4eba\u5de5\u624b\u6bb5<\/li>\n<\/ul>\n\n\n\n<p>\u57fa\u4e8eETL\u7684\u6570\u636e\u6e05\u6d17\uff1a\u62bd\u53d6\u2192\u8f6c\u6362\u2192\u52a0\u8f7d\uff0c\u5c06\u5f02\u6784\u6e90\u6570\u636e\u6e05\u6d17\u540e\u52a0\u8f7d\u81f3\u6570\u636e\u4ed3\u5e93\u3002\u4f7f\u7528\u5982kettle\u548csql\u8bed\u53e5<br>pandas\u6570\u636e\u5206\u6790\u5e93\uff1a\u6570\u636e\u5bf9\u9f50\u548c\u7075\u6d3b\u64cd\u4f5c\u6bd4\u4f20\u7edf SQL \u66f4\u4fbf\u6377\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u96c6\u6210<\/h3>\n\n\n\n<p>\u5b9a\u4e49\uff1a\u5c06\u591a\u6e90\u5f02\u6784\u6570\u636e\u5408\u5e76\u4e3a\u4e00\u81f4\u89c6\u56fe\u7684\u8fc7\u7a0b\uff0c\u9700\u89e3\u51b3\u5206\u5e03\u6027\u548c\u5f02\u6784\u6027\u95ee\u9898\u3002<\/p>\n\n\n\n<p>\u4e3b\u8981\u4efb\u52a1\uff1a<br><strong>\u5b9e\u4f53\u8bc6\u522b<\/strong>\uff1a\u8bc6\u522b\u591a\u6e90\u6570\u636e\u4e2d\u7684\u540c\u4e00\u5b9e\u4f53\uff0c\u5305\u62ec\u6a21\u5f0f\u96c6\u6210\uff08\u5982\u5c5e\u6027\u7b49\u4ef7\u6620\u5c04 A.cust-id\u2261B.cust-#\uff09\u548c\u5c5e\u6027\u5339\u914d\uff08\u5904\u7406\u7ed3\u6784\u5dee\u5f02\u4e0e\u8868\u8fbe\u5dee\u5f02\uff0c\u5982\u5bf9\u4e8e0\u503c\u7a7a\u767d\u503c\u5904\u7406\uff09\u3002<br><strong>\u5197\u4f59\u5206\u6790<\/strong>\uff1a\u901a\u8fc7\u76f8\u5173\u5206\u6790\u68c0\u6d4b\u5197\u4f59\u5c5e\u6027\uff0c\u5ea6\u91cf\u4e00\u4e2a\u5c5e\u6027\u80fd\u591a\u5927\u7a0b\u5ea6\u8574\u542b\u53e6\u4e00\u4e2a\u3002\u5982\u5e74\u6536\u5165\u53ef\u7531\u6708\u6536\u5165\u884d\u751f\u3002\u5bf9\u4e8e\u6807\u79f0\u5c5e\u6027\uff0c\u4f7f\u7528\u03a72 \uff08\u5361\u65b9\uff09\u68c0\u9a8c\uff1b\u5bf9\u4e8e\u6570\u503c\u5c5e\u6027\uff0c\u4f7f\u7528\u76f8\u5173\u7cfb\u6570\u548c\u534f\u65b9\u5dee\u68c0\u6d4b\u53d8\u6362<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u76f8\u5173\u6027\u5206\u6790\u65b9\u6cd5<\/h4>\n\n\n\n<h5 class=\"wp-block-heading\">\u03a72 \uff08\u5361\u65b9\uff09\u68c0\u9a8c<\/h5>\n\n\n\n<p>\u95ee\u9898\uff1a<strong>\u6027\u522b\uff08\u7537<\/strong>\/\u5973\uff09\u4e0e\u662f\u5426\u559c\u6b22\u67d0\u6b3e\u6e38\u620f\uff08\u662f\/<strong>\u5426\uff09\u662f\u5426\u5b58\u5728\u663e\u8457\u5173\u7cfb\uff1f<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-163-1024x238.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"238\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-163-1024x238.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4484\" style=\"width:763px;height:auto\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-164.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"998\" height=\"512\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-164.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4485\" style=\"width:548px;height:auto\"  sizes=\"auto, (max-width: 998px) 100vw, 998px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-165.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"865\" height=\"954\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-165.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4486\" style=\"width:636px;height:auto\"  sizes=\"auto, (max-width: 865px) 100vw, 865px\" \/><\/div><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">\u76f8\u5173\u7cfb\u6570\/\u76ae\u5c14\u68ee\u79ef\u77e9\u7cfb\u6570<\/h5>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-166.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"106\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-166.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4488\" style=\"width:471px;height:auto\"  sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/div><\/figure>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u5176\u4e2d\uff0cn\u662f\u5143\u7ec4\u7684\u4e2a\u6570\uff0c\u2594A\u2594B\u5206\u522b\u662f\u662fA\u548cB\u7684\u5747\u503c\uff0c\u03c3A \u548c \u03c3B \u5206\u522b\u662fA\u548cB\u7684\u6807\u51c6\u5dee\uff0c\u03a3(aibi )\u662fAB\u53c9\u79ef\u548c\u3002<br>If rA,B &gt; 0<strong>\uff0c <\/strong>A and B\u6b63\u76f8\u5173\uff08A\u968f\u7740B\u503c\u7684\u589e\u52a0\u800c\u589e\u52a0\uff09\uff0c\u8be5\u503c\u8d8a\u5927\uff0c\u76f8\u5173\u6027\u8d8a\u5f3a <br>If rA,B = 0\uff0cA and B\u72ec\u7acb <br>If rAB &lt; 0\uff0c A and B\u8d1f\u76f8\u5173<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-167.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"792\" height=\"699\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-167.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4490\"  sizes=\"auto, (max-width: 792px) 100vw, 792px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u96c6\u6210\u65b9\u5f0f\u5206\u7c7b<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5206\u7c7b\u7c7b\u578b<\/th><th>\u5b9a\u4e49<\/th><th>\u7279\u70b9<\/th><th>\u5178\u578b\u5f15\u64ce \/ \u5e94\u7528<\/th><\/tr><\/thead><tbody><tr><td>\u6279\u91cf\u96c6\u6210<\/td><td>\u5b9a\u65f6 \/ \u89e6\u53d1\u5f0f\u5168\u91cf\u5904\u7406\u6570\u636e<\/td><td>\u975e\u9ad8\u5cf0\u6267\u884c\uff0c\u5904\u7406\u5927\u6570\u636e\u91cf<\/td><td>Hadoop MR\u3001Spark\u3001Kettle<\/td><\/tr><tr><td>\u589e\u91cf\u96c6\u6210<\/td><td>\u4ec5\u4f20\u8f93\u65b0\u589e \/ \u53d8\u66f4\u6570\u636e<\/td><td>\u51cf\u5c11\u8d44\u6e90\u6d88\u8017\uff0c\u4f9d\u8d56\u65f6\u95f4\u6233 \/ \u65e5\u5fd7<\/td><td>\u7535\u5546\u8ba2\u5355\u540c\u6b65<\/td><\/tr><tr><td>\u51c6\u5b9e\u65f6\u96c6\u6210<\/td><td>\u6570\u636e\u53d8\u5316\u540e\u77ed\u65f6\u95f4\u5185\u540c\u6b65<\/td><td>\u5206\u949f\u5230\u5c0f\u65f6\u7ea7\u5ef6\u8fdf\uff0c\u8f6e\u8be2 \/ \u8ba2\u9605\u5b9e\u73b0<\/td><td>Storm\u3001Spark Streaming<\/td><\/tr><tr><td>\u5b9e\u65f6\u96c6\u6210<\/td><td>\u6570\u636e\u53d8\u66f4\u65f6\u7acb\u5373\u540c\u6b65<\/td><td>\u4e8b\u4ef6\u9a71\u52a8\uff0c\u4f4e\u5ef6\u8fdf\u51b3\u7b56<\/td><td>Flink\u3001Kafka Streams<\/td><\/tr><tr><td>\u4e8b\u4ef6\u96c6\u6210<\/td><td>\u57fa\u4e8e\u4e8b\u4ef6\u9a71\u52a8\u67b6\u6784\u89e6\u53d1\u6570\u636e\u5904\u7406<\/td><td>\u5b9e\u65f6\u54cd\u5e94\u4e8b\u4ef6\uff08\u5982\u5f02\u5e38\u544a\u8b66\uff09<\/td><td>Kafka\u3001RabbitMQ<\/td><\/tr><tr><td>\u540c\u6b65\u96c6\u6210<\/td><td>\u7cfb\u7edf\u95f4\u5373\u65f6\u53cc\u5411\u6570\u636e\u4f20\u8f93<\/td><td>\u5f3a\u4e8b\u52a1\u4e00\u81f4\u6027\uff0c\u5b9e\u65f6\u4ea4\u4e92<\/td><td>API \u63a5\u53e3\u67e5\u8be2\u7528\u6237\u4fe1\u606f<\/td><\/tr><tr><td>\u5f02\u6b65\u96c6\u6210<\/td><td>\u6570\u636e\u4f20\u8f93\u4e0d\u7acb\u5373\u54cd\u5e94<\/td><td>\u7f13\u89e3\u7cfb\u7edf\u8d1f\u8f7d\uff0c\u975e\u5b9e\u65f6\u573a\u666f<\/td><td>\u6279\u91cf\u90ae\u4ef6\u53d1\u9001<\/td><\/tr><tr><td>\u6d41\u5904\u7406<\/td><td>\u5b9e\u65f6\u5904\u7406\u8fde\u7eed\u6570\u636e\u6d41<\/td><td>\u9ad8\u541e\u5410\u91cf\uff0c\u9002\u7528\u4e8e\u65e5\u5fd7 \/ \u4f20\u611f\u5668\u6570\u636e<\/td><td>Kafka Streams\u3001Flink<\/td><\/tr><tr><td>\u590d\u5236<\/td><td>\u6570\u636e\u526f\u672c\u540c\u6b65\u81f3\u5176\u4ed6\u4f4d\u7f6e<\/td><td>\u7528\u4e8e\u5907\u4efd \/ \u8d1f\u8f7d\u5747\u8861\uff0c\u5206\u540c\u6b65 \/ \u5f02\u6b65\u590d\u5236<\/td><td>\u6570\u636e\u5e93\u4e3b\u4ece\u590d\u5236<\/td><\/tr><tr><td>\u5f52\u6863<\/td><td>\u957f\u671f\u4fdd\u5b58\u4e0d\u5e38\u8bbf\u95ee\u7684\u6570\u636e<\/td><td>\u538b\u7f29\u5b58\u50a8\uff0c\u8282\u7701\u4e3b\u5b58\u50a8\u8d44\u6e90<\/td><td>\u533b\u7597\u6570\u636e\u5b58\u6863<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e3b\u6d41\u96c6\u6210\u67b6\u6784\u5bf9\u6bd4<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u67b6\u6784\u7c7b\u578b<\/th><th>\u6838\u5fc3\u7279\u70b9<\/th><th>\u9002\u7528\u573a\u666f<\/th><th>\u5178\u578b\u5de5\u5177 \/ \u6280\u672f<\/th><\/tr><\/thead><tbody><tr><td>\u70b9\u5bf9\u70b9\u67b6\u6784<\/td><td>\u7cfb\u7edf\u76f4\u63a5\u8fde\u63a5\uff0c\u5355\u72ec\u5efa\u7acb\u96c6\u6210\u901a\u9053<\/td><td>\u5c11\u91cf\u7cfb\u7edf\u96c6\u6210<\/td><td>\u81ea\u5b9a\u4e49 API\u3001RabbitMQ<\/td><\/tr><tr><td>\u96c6\u4e2d\u5f0f\u67b6\u6784<\/td><td>\u901a\u8fc7 ESB \u7b49\u4e2d\u5fc3\u8282\u70b9\u8def\u7531\u6570\u636e<\/td><td>\u4f01\u4e1a\u5185\u90e8\u591a\u7cfb\u7edf\u5b9e\u65f6\u901a\u4fe1<\/td><td>MuleSoft\u3001\u4e2d\u95f4\u4ef6<\/td><\/tr><tr><td>\u6570\u636e\u4ed3\u5e93\u67b6\u6784<\/td><td>ETL\/ELT \u5904\u7406\u540e\u5b58\u50a8\u81f3\u4e2d\u592e\u4ed3\u5e93<\/td><td>\u4f01\u4e1a\u7ea7 BI \u62a5\u8868\u3001\u5386\u53f2\u6570\u636e\u5206\u6790<\/td><td>Informatica PowerCenter\u3001DataStage<\/td><\/tr><tr><td>\u6570\u636e\u6e56\u67b6\u6784<\/td><td>\u5b58\u50a8\u591a\u683c\u5f0f\u539f\u59cb\u6570\u636e\uff0c\u6309\u9700\u5904\u7406<\/td><td>\u5927\u6570\u636e\u5206\u6790\u4e0e\u673a\u5668\u5b66\u4e60<\/td><td>HDFS\u3001Amazon S3\u3001Delta Lake<\/td><\/tr><tr><td>\u670d\u52a1\u5bfc\u5411\u67b6\u6784\uff08SOA\uff09<\/td><td>\u6807\u51c6\u5316\u63a5\u53e3\u5171\u4eab\u670d\u52a1\uff0c\u677e\u8026\u5408\u8bbe\u8ba1<\/td><td>\u5f02\u6784\u7cfb\u7edf\u96c6\u6210\uff08\u5982\u94f6\u884c\u4e0e\u7b2c\u4e09\u65b9\u652f\u4ed8\uff09<\/td><td>Web Services\u3001ESB<\/td><\/tr><tr><td>\u5fae\u670d\u52a1\u67b6\u6784<\/td><td>\u5e94\u7528\u62c6\u5206\u4e3a\u72ec\u7acb\u5c0f\u670d\u52a1\uff0c\u8f7b\u91cf\u7ea7\u901a\u4fe1<\/td><td>\u4e92\u8054\u7f51\u5feb\u901f\u8fed\u4ee3\u7cfb\u7edf<\/td><td>Spring Cloud\u3001Kubernetes<\/td><\/tr><tr><td>\u865a\u62df\u5316\u67b6\u6784<\/td><td>\u901a\u8fc7\u62bd\u8c61\u5c42\u63d0\u4f9b\u7edf\u4e00\u6570\u636e\u8bbf\u95ee\u63a5\u53e3<\/td><td>\u8de8\u5730\u57df\u5b9e\u65f6\u6570\u636e\u67e5\u8be2<\/td><td>Denodo \u7b49\u6570\u636e\u865a\u62df\u5316\u5de5\u5177<\/td><\/tr><tr><td>\u4e91\u5316\u96c6\u6210\u67b6\u6784<\/td><td>\u57fa\u4e8e\u4e91\u670d\u52a1\u5b9e\u73b0\u96c6\u6210\uff0c\u5f39\u6027\u6269\u5c55<\/td><td>\u591a\u4e91 \/ \u6df7\u5408\u4e91\u73af\u5883<\/td><td>AWS Glue\u3001Azure Data Factory<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>2024 \u5e74\u6570\u636e\u96c6\u6210\u6280\u672f\u7684\u91cd\u8981\u53d1\u5c55\u65b9\u5411\u6709\u54ea\u4e9b\uff1f<br>\u2460\u5b9e\u65f6\u6d41\u5904\u7406\u4e0e\u6279\u5904\u7406\u878d\u5408\uff0c\u5982\u57fa\u4e8e Flink \u7684 CDC \u6570\u636e\u6355\u83b7\uff1b\u2461\u4e91\u539f\u751f\u96c6\u6210\u5de5\u5177\u666e\u53ca\uff0c\u652f\u6301\u8de8\u591a\u4e91\u73af\u5883\uff1b\u2462AI \u4e0e\u5927\u6a21\u578b\u6574\u5408\uff0c\u5b9e\u73b0\u81ea\u52a8\u5316\u6570\u636e\u8d28\u91cf\u4fee\u590d\u548c\u52a8\u6001 ETL\uff08\u5982\u5927\u6a21\u578b\u5904\u7406\u97f3\u89c6\u9891\u6570\u636e\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u89c4\u7ea6<\/h3>\n\n\n\n<p><strong>\u5b9a\u4e49<\/strong>\uff1a<strong>\u83b7\u53d6\u6570\u636e\u96c6\u51cf\u5c11\u540e\u7684\u8868\u793a<\/strong>\u3002\u867d\u89c4\u6a21\u66f4\u5c0f\u4f46\u80fd\u4fdd\u6301\u539f\u59cb\u6570\u636e\u7684\u5206\u6790\u7ed3\u679c\uff0c\u89e3\u51b3\u6570\u636e\u5e93\u5b58\u50a8\u91cf\u5927\uff08\u6570\u5146\u5146\u5b57\u8282\uff09\u548c\u590d\u6742\u6570\u636e\u5206\u6790\u8017\u65f6\u957f\u7684\u95ee\u9898\u3002<br>why\u9700\u8981\uff1f\u9632\u6b62\u7ef4\u6570\u707e\u96be\u3001\u6d88\u9664\u65e0\u5173\u7279\u5f81\u3001\u964d\u4f4e\u566a\u97f3\u3001\u51cf\u5c11\u6570\u636e\u6316\u6398\u7684\u65f6\u95f4\u548c\u7a7a\u95f4\u6210\u672c\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e3b\u8981\u7b56\u7565<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7b56\u7565\u7c7b\u578b<\/th><th>\u6838\u5fc3\u6280\u672f<\/th><th>\u5177\u4f53\u65b9\u6cd5<\/th><\/tr><\/thead><tbody><tr><td>\u7ef4\u89c4\u7ea6<\/td><td>\u964d\u7ef4\u6280\u672f<\/td><td>\u5c0f\u6ce2\u53d8\u6362\u3001\u4e3b\u6210\u5206\u5206\u6790 (PCA)\u3001\u5c5e\u6027\u5b50\u96c6\u9009\u62e9\u3001\u7279\u5f81\u751f\u6210<\/td><\/tr><tr><td>\u6570\u91cf\u89c4\u7ea6<\/td><td>\u53c2\u6570\u5316\u65b9\u6cd5<\/td><td>\u56de\u5f52\u5206\u6790\uff08\u7ebf\u6027 \/ \u591a\u5143\u56de\u5f52\uff09\u3001\u5bf9\u6570 &#8211; \u7ebf\u6027\u6a21\u578b<\/td><\/tr><tr><td><\/td><td>\u975e\u53c2\u6570\u5316\u65b9\u6cd5<\/td><td>\u76f4\u65b9\u56fe\u5206\u6790\uff08\u7b49\u5bbd \/ \u7b49\u9891\u5206\u533a\uff09\u3001\u805a\u7c7b\u5206\u6790\u3001\u62bd\u6837\uff08\u7b80\u5355\u968f\u673a \/ \u5206\u5c42\u62bd\u6837\uff09\u3001\u6570\u636e\u7acb\u65b9\u4f53\u805a\u96c6<\/td><\/tr><tr><td>\u6570\u636e\u538b\u7f29<\/td><td>\u4fe1\u606f\u538b\u7f29<\/td><td>\u5b57\u7b26\u4e32\u538b\u7f29\uff08\u65e0\u635f\uff09\u3001\u97f3\u89c6\u9891\u538b\u7f29\uff08\u6709\u635f\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">\u5c0f\u6ce2\u53d8\u6362<\/h5>\n\n\n\n<p>emmm\u53ea\u770b\u5f97\u61c2\u54c8\u5c14\u5c0f\u6ce2<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u539f\u7406<\/strong>\uff1a\u4f7f\u7528\u5c42\u6b21\u91d1\u5b57\u5854\u7b97\u6cd5\uff0c\u6bcf\u6b21\u8fed\u4ee3\u5c06\u6570\u636e\u51cf\u534a\uff0c\u901a\u8fc7\u5149\u6ed1\u548c\u5dee\u5206\u51fd\u6570\u63d0\u53d6\u4f4e\u9891\u548c\u9ad8\u9891\u7279\u5f81\uff0c\u6700\u7ec8\u9009\u62e9\u5c0f\u6ce2\u7cfb\u6570\u5b9e\u73b0\u964d\u7ef4\u3002<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4<\/strong>\uff1a\u8f93\u5165\u6570\u636e\u957f\u5ea6\u9700\u4e3a 2 \u7684\u6574\u6570\u5e42\uff0c\u9012\u5f52\u5e94\u7528\u5149\u6ed1\u548c\u5dee\u5206\u51fd\u6570\uff0c\u76f4\u81f3\u6570\u636e\u96c6\u957f\u5ea6\u4e3a 2\u3002<\/li>\n<\/ul>\n\n\n\n<p>e.g.\u5047\u8bbe\u4e00\u7ef4\u56fe\u50cf\u7684\u50cf\u7d20\u503c\u4e3a\uff1a<code>[9, 7, 3, 5]<\/code><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u5c42\u5206\u89e3\uff1a\u6c42\u5747\u503c\u4e0e\u5dee\u503c\n<ul class=\"wp-block-list\">\n<li>\u5206\u7ec4\u6c42\u5747\u503c\n<ul class=\"wp-block-list\">\n<li>\u5c06\u6570\u636e\u5206\u4e3a\u4e24\u7ec4&nbsp;<code>[9, 7]<\/code>&nbsp;\u548c&nbsp;<code>[3, 5]<\/code>\uff0c\u8ba1\u7b97\u6bcf\u7ec4\u5e73\u5747\u503c<\/li>\n\n\n\n<li>\u5f97\u5230[8, 4]<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u6c42\u7ec6\u8282\u7cfb\u6570\uff08\u5dee\u503c\uff09\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u7ec4\u7ec6\u8282\uff1a<code>9 - 8 = 1<\/code>\uff08\u6216&nbsp;<code>(9-7)\/2 = 1<\/code>\uff09<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u7ec4\u7ec6\u8282\uff1a<code>3 - 4 = -1<\/code>\uff08\u6216&nbsp;<code>(3-5)\/2 = -1<\/code>\uff09<\/li>\n\n\n\n<li>\u7ec6\u8282\u7cfb\u6570\uff1a[1, -1]<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7b2c\u4e00\u5c42\u53d8\u6362\u7ed3\u679c\uff1a<code>[8, 4, 1, -1]<\/code>\uff08\u524d\u4e24\u4f4d\u4e3a\u5747\u503c\uff0c\u540e\u4e24\u4f4d\u4e3a\u7ec6\u8282\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u5c42\u5206\u89e3\uff1a\u9012\u5f52\u5904\u7406\u5747\u503c\n<ul class=\"wp-block-list\">\n<li>\u5bf9\u7b2c\u4e00\u5c42\u7684\u5747\u503c&nbsp;<code>[8, 4]<\/code>&nbsp;\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5747\u503c\u8ba1\u7b97\uff1a<code>(8+4)\/2 = 6<\/code><\/li>\n\n\n\n<li>\u7ec6\u8282\u7cfb\u6570\uff1a8 &#8211; 6 = 2<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u5c42\u53d8\u6362\u7ed3\u679c\uff1a<code>[6, 2, 1, -1]<\/code>\uff08\u5176\u4e2d&nbsp;<code>6<\/code>&nbsp;\u4e3a\u5168\u5c40\u5747\u503c\uff0c<code>2<\/code>&nbsp;\u4e3a\u6b21\u4f4e\u9891\u7ec6\u8282\uff0c<code>1<\/code>&nbsp;\u548c&nbsp;<code>-1<\/code>&nbsp;\u4e3a\u9ad8\u9891\u7ec6\u8282\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">\u4e3b\u6210\u5206\u5206\u6790 (PCA)<\/h5>\n\n\n\n<p>\u6b65\u9aa4\uff1a\u6807\u51c6\u5316\u6570\u636e\u2192\u8ba1\u7b97\u6b63\u4ea4\u4e3b\u6210\u5206\u2192\u6309\u65b9\u5dee\u964d\u5e8f\u6392\u5217\u2192\u4fdd\u7559\u524d k \u4e2a\u4e3b\u6210\u5206\u3002<\/p>\n\n\n\n<p>\u4ee5\u4ee5\u4e0b\u6570\u636e\u4e3a\u4f8b<br>A = [2.5, 2.4]<br>B = [0.4, 0.7]<br>C = [2.2, 2.9]<\/p>\n\n\n\n<p>1.\u8ba1\u7b97\u6837\u672c\u5747\u503cX\u53ca\u534f\u65b9\u5dee\u77e9\u9635S<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-225238689e8622c6e1cd7bf35da44d33_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-225238689e8622c6e1cd7bf35da44d33_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\\bar{x}=\\begin{bmatrix}\\frac{2.5+0.4+2.2}{3} &amp; \\frac{2.4+0.7+2.9}{3}\\end{bmatrix}=\\begin{bmatrix}1.7 &amp; 2\\end{bmatrix}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u5b9a\u4e49\u534f\u65b9\u5dee\u53ca\u534f\u65b9\u5dee\u77e9\u9635(\u4ee52\u7ef4\u4e3a\u4f8b\uff0c\u82e5\u4e09\u7ef4\u5219\u4e3axyz)\uff0c(n\u4e3a\u6837\u672c\u6570\u91cf)<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-7f801cae1d26e6d5ea821bcfcf864582_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-7f801cae1d26e6d5ea821bcfcf864582_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"cov(X,Y)=\\frac{\\sum_{i=1}^{n}(X_i-\\bar{X})(Y_i-\\bar{Y})}{n-1}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-cd825bc6e165b82383b45c3e0693befe_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-cd825bc6e165b82383b45c3e0693befe_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"S_{n\\times n}=\\begin{bmatrix}cov(x,x) &amp; cov(x,y) \\\\ cov(y,x) &amp; cov(y,y)\\end{bmatrix}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u5728\u4f8b\u5b50\u4e2d\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-cfc60548ca1ce6c400aef5c0404e8a82_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-cfc60548ca1ce6c400aef5c0404e8a82_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"cov(x,x)=\\frac{(2.5-1.7)^2+(0.4-1.7)^2+(2.2-1.7)^2}{3-1}=1.26 \\\\cov(x,y)=cov(y,x)=\\frac{(2.5-1.7)*(2.4-2)+(0.4-1.7)*(0.7-2)+(2.2-1.7)*(2.9-2)}{3-1}=1.23 \\\\cov(y,y)=\\frac{(2.4-2)^2+(0.7-2)^2+(2.9-2)^2}{3-1}=1.33\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-2a268ccd9b4a030b91c7f106684e7240_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-2a268ccd9b4a030b91c7f106684e7240_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"S=\\begin{bmatrix}1.26 &amp; 1.23 \\\\1.23 &amp; 1.33 \\\\\\end{bmatrix}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>2.\u89e3\u51fa\u534f\u65b9\u5dee\u77e9\u9635S\u7684\u7279\u5f81\u503c\u03bb\uff0c\u5373|S-\u03bbI|=0\u7684\u89e3<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-a3c8d7ae382418bf7a8bbd0c919947b0_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-a3c8d7ae382418bf7a8bbd0c919947b0_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\\mid S-\\lambda I\\mid =\\begin{vmatrix}1.26-\\lambda &amp; 1.23 \\\\1.23 &amp; 1.33-\\lambda \\end{vmatrix}=(1.26-\\lambda)(1.33-\\lambda)-1.23^2=0\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u89e3\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u5f97<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-054bf46b5a98cc9dbfe87a71476124fe_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-054bf46b5a98cc9dbfe87a71476124fe_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\\lambda_1={0.06}\\quad \\lambda_2={2.53}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u8fdb\u800c\u5f97\u5230\u4e0e\u03bb\u5bf9\u5e94\u7684\u7279\u5f81\u5411\u91cf\uff08\u5373Sv=\u03bbv\uff09<\/p>\n\n\n\n<p>\u7279\u5f81\u5411\u91cf\u6ee1\u8db3\u5982\u4e0b\u5f0f\u5b50\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-04c51f85daea1aca18fd282d2db1def9_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-04c51f85daea1aca18fd282d2db1def9_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"Sv=\\lambda v\\\\(S-\\lambda I)v=0\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u9700\u8981\u8bbev=[x,y]\u7136\u540e\u89e3\u51fax,y\u7684\u6bd4\u4f8b\uff0c\u518d\u5f52\u4e00\u5316\u5230\u5355\u4f4d\u957f\u5ea6<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u03bb<sub>1<\/sub>\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-6f3a3a97855d7bada0d993f08578d553_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-6f3a3a97855d7bada0d993f08578d553_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\\begin{bmatrix}1.26-0.06 &amp; 1.23 \\\\1.23 &amp; 1.33-0.06 \\\\\\end{bmatrix} \\begin{bmatrix}x \\\\y \\\\\\end{bmatrix} =0\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u89e3\u5f97<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-d9de567faba1e0319382b03dbc0d57e4_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-d9de567faba1e0319382b03dbc0d57e4_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\\frac{x}{y}\\approx -\\frac{1.23}{1.2} \\approx -\\frac{1.27}{1.23}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u4ee5\u4e0a\u4e24\u4e2a\u7ea6\u7b49\u4e8e\u662f\u56e0\u4e3a\u8ba1\u7b97\u8bef\u5dee\u5bfc\u81f4\u7684\uff0c\u5b9e\u9645\u4e0a\u4f1a\u662f\u4e00\u4e2a\u503c\u3002<br>\u518d\u8fdb\u884c\u5f52\u4e00\u5316\uff0cv<sub>1<\/sub>=[0.713,-0.696]<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u03bb<sub>2<\/sub>\u540c\u7406\uff0cv<sub>2<\/sub>=[0.696,0.713]\uff08\u56e0\u4e3a\u662f2\u7ef4\u6240\u4ee5\u53ef\u4ee5\u76f4\u63a5\u770b\u51fa\u6765\uff0c\u4e09\u7ef4\u4e0d\u884c\uff09<\/p>\n\n\n\n<p>\u4e24\u4e2a\u4e3b\u6210\u5206\u7684\u8868\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-6c47b65a087f1c782908ec4c2e018582_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-6c47b65a087f1c782908ec4c2e018582_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"F_1=v_{11}(x-\\bar{x})+v_{21}(y-\\bar{y}) = 0.713(x-1.7)-0.696(y-2)\\\\F_2=v_{12}(x-\\bar{x})+v_{22}(y-\\bar{y}) = 0.696(x-1.7)+0.713(y-2)\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u4e3b\u6210\u5206\u7684\u8d21\u732e\u5ea6p\uff1a\uff08\u7ecf\u8bc1\u660e\u4e3b\u6210\u5206\u7684\u65b9\u5dee\u5c31\u662f\u7279\u5f81\u503c\u5927\u5c0f\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-6d7174bf1363a291bbdb013bea7f2301_l3.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.smzytyzg.tw.cn\/wp-content\/ql-cache\/quicklatex.com-6d7174bf1363a291bbdb013bea7f2301_l3.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"p_i=\\frac{\\lambda_i}{\\sum \\lambda_i}\" title=\"Rendered by QuickLaTeX.com\"\/><\/div><\/figure>\n\n\n\n<p>\u5bf9\u793a\u4f8b\u60c5\u51b5\uff1a<\/p>\n\n\n\n<p>F<sub>1<\/sub>\u8d21\u732e\u5ea6=0.06\/(0.06+2.53)=0.02<br>F<sub>2<\/sub>\u8d21\u732e\u5ea6=2.53\/(0.06+2.53)=0.98<\/p>\n\n\n\n<p>\u53ef\u4ee5\u6839\u636e\u8d21\u732e\u5ea6\u4ece\u5927\u5230\u5c0f\uff0c\u5bf9\u6240\u6709\u4e3b\u6210\u5206\u8fdb\u884c\u6392\u5e8f\uff0c\u7136\u540e\u6839\u636e\u7d2f\u8ba1\u8d21\u732e\u5ea6\u8981\u6c42\u9009\u51fa\u524d\u51e0\u4e2a\u4e3b\u6210\u5206<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u91cf\u89c4\u7ea6\u65b9\u6cd5\u8be6\u89e3<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u56de\u5f52\u5206\u6790\n<ul class=\"wp-block-list\">\n<li><strong>\u7ebf\u6027\u56de\u5f52<\/strong>\uff1aY = wX + b\uff0c\u901a\u8fc7\u6700\u5c0f\u4e8c\u4e58\u6cd5\u4f30\u8ba1\u7cfb\u6570\u3002<br><strong>\u591a\u5143\u56de\u5f52<\/strong>\uff1aY = b<sub>0<\/sub> + b<sub>1<\/sub>X<sub>1<\/sub>+ b<sub>2<\/sub>X<sub>2<\/sub>\uff0c\u5904\u7406\u591a\u81ea\u53d8\u91cf\u573a\u666f\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u5bf9\u6570 &#8211; \u7ebf\u6027\u6a21\u578b\uff1a\u8fd1\u4f3c\u79bb\u6563\u591a\u7ef4\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u7ef4\u89c4\u7ea6\u548c\u6570\u636e\u5149\u6ed1\u3002<\/li>\n\n\n\n<li>\u76f4\u65b9\u56fe\u5206\u6790\uff1a\u5c06\u6570\u636e\u5212\u5206\u4e3a\u7b49\u5bbd\u6216\u7b49\u9891\u533a\u95f4\uff0c\u5982\u9500\u552e\u989d\u6570\u636e\u6309\u5b63\u5ea6\u7b49\u9891\u5206\u533a\u3002<\/li>\n\n\n\n<li>\u805a\u7c7b\u5206\u6790\uff1a\u6309\u76f8\u4f3c\u5ea6\u5206\u7c07\uff0c\u5b58\u50a8\u7c07\u7684\u8d28\u5fc3\u548c\u76f4\u5f84\uff0c\u5982\u5ba2\u6237\u5206\u7fa4\u3002<\/li>\n\n\n\n<li>\u62bd\u6837\u65b9\u6cd5\n<ul class=\"wp-block-list\">\n<li>\u7b80\u5355\u968f\u673a\u62bd\u6837\uff0c\u7b49\u6982\u7387\u9009\u62e9\u6837\u672c\uff0c\u5982\u65e0\u653e\u56de \/ \u6709\u653e\u56de\u62bd\u6837<\/li>\n\n\n\n<li>\u5206\u5c42\u62bd\u6837\uff0c\u6309\u6570\u636e\u5206\u5e03\u5206\u5c42\u62bd\u53d6\uff0c\u5982\u5904\u7406\u504f\u659c\u6570\u636e<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u6570\u636e\u7acb\u65b9\u4f53\u805a\u96c6\uff1a\u591a\u7ef4\u5ea6\u6c47\u603b\u6570\u636e\uff0c\u5982\u6309\u5e74\u6c47\u603b\u9500\u552e\u989d\uff081997 \u5e74$1,568,000\u30011998\u5e74$2,356,000\u30011999 \u5e74 $3,594,000\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u538b\u7f29<\/h4>\n\n\n\n<p>\u5b57\u7b26\u4e32\u538b\u7f29\uff1a\u91c7\u7528\u65e0\u635f\u7b97\u6cd5\uff0c\u5982\u6587\u672c\u538b\u7f29\u3002<br>\u97f3\u89c6\u9891\u538b\u7f29\uff1a\u6709\u635f\u538b\u7f29\uff0c\u652f\u6301\u6e10\u8fdb\u7ec6\u5316\uff0c\u5982\u89c6\u9891\u6d41\u4f20\u8f93\u3002<br>\u7ef4\u89c4\u7ea6\u548c\u6570\u91cf\u89c4\u7ea6\u4e5f\u53ef\u4ee5\u89c6\u4e3a\u67d0\u79cd\u5f62\u5f0f\u7684\u6570\u636e\u538b\u7f29<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u53d8\u6362\u4e0e\u6570\u636e\u79bb\u6563\u5316<\/h3>\n\n\n\n<p>\u901a\u8fc7\u53d8\u6362\u5c06\u6574\u4e2a\u6570\u636e\u96c6\u7684\u7ed9\u5b9a\u5c5e\u6027\u7684\u503c\u6620\u5c04\u5230\u65b0\u7684\u503c\uff0c\u6bcf\u4e2a\u8001\u7684\u503c\u90fd\u80fd\u901a\u8fc7\u65b0\u7684\u503c\u8bc6\u522b<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5149\u6ed1Smoothing<\/strong>: \u53bb\u9664\u6570\u636e\u4e2d\u7684\u566a\u58f0\uff08\u6570\u636e\u6e05\u7406\u7684\u65b9\u6cd5\uff09\u5206\u7bb1\u3001\u56de\u5f52\u3001\u805a\u7c7b <\/li>\n\n\n\n<li><strong>\u5c5e\u6027\u6784\u9020<\/strong>Attribute\/feature construction\uff08\u6570\u636e\u89c4\u7ea6\u65b9\u6cd5\uff09\u7531\u7ed9\u5b9a\u7684\u5c5e\u6027\u6784\u9020\u65b0\u7684\u5c5e\u6027\u5e76\u6dfb\u52a0\u5230\u5c5e\u6027\u96c6\u4e2d <\/li>\n\n\n\n<li><strong>\u805a\u96c6<\/strong>Aggregation: \u5bf9\u6570\u636e\u8fdb\u884c\u6c47\u603b\uff0c\u6784\u9020\u6570\u636e\u7acb\u65b9\u4f53\uff08\u6570\u636e\u89c4\u7ea6\u65b9\u6cd5\uff09 <\/li>\n\n\n\n<li><strong>\u89c4\u8303\u5316<\/strong>Normalization: \u628a\u5c5e\u6027\u6570\u636e\u6309\u6bd4\u4f8b\u7f29\u653e\uff0c\u4f7f\u4e4b\u843d\u5165\u7279\u5b9a\u5927\u5c0f\u533a\u95f4\n<ul class=\"wp-block-list\">\n<li><strong>\u6700\u5c0f-\u6700\u5927\u89c4\u8303\u5316<\/strong>[min-max normalization]<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-168.png\" alt=\"\"><\/li>\n\n\n\n<li>Z<strong>\u5206\u6570\u89c4\u8303\u5316<\/strong>z-score normalization<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-170.png\" alt=\"\"><\/li>\n\n\n\n<li><strong>\u5c0f\u6570\u5b9a\u6807\u89c4\u8303\u5316<\/strong>normalization by decimal scaling <img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-171.png\" alt=\"\">\n<ul class=\"wp-block-list\">\n<li>\u901a\u8fc7\u79fb\u52a8\u6570\u636e \u7684\u5c0f\u6570\u70b9\u4f4d\u7f6e\u6765\u8fdb\u884c\u6807\u51c6\u5316\u3002\u5c0f\u6570\u70b9\u79fb\u52a8\u7684\u4f4d\u6570\u53d6\u51b3\u4e8e\u6570\u636e\u7edd\u5bf9\u503c\u7684\u6700\u5927\u503c<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u79bb\u6563\u5316<\/strong>Discretization: \u5c06\u8fde\u7eed\u7684\u5c5e\u6027\u5206\u5272\u4e3a\u6709\u95f4\u9694\u7684\n<ul class=\"wp-block-list\">\n<li>\u65b9\u6cd5\uff1a\u5206\u7bb1\uff08\u89c1\u524d\u6587\uff0c\u4e0b\u540c\uff09\uff0c\u76f4\u65b9\u56fe\uff0c\u805a\u7c7b\u5206\u6790\uff0c\u51b3\u7b56\u6811\u5206\u6790\uff0c\u76f8\u5173\u5206\u6790\uff08\u5361\u65b9\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u51b3\u7b56\u6811<\/h4>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-172-1024x604.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"604\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-172-1024x604.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4499\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-173.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"636\" height=\"1024\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-173.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4500\"  sizes=\"auto, (max-width: 636px) 100vw, 636px\" \/><\/div><\/figure>\n\n\n\n<p>\u6982\u5ff5\u5206\u5c42\uff1a\u9012\u5f52\u901a\u8fc7\u6536\u96c6\u548c\u66f4\u9ad8\u5c42\u6b21\u7684\u6982\u5ff5\uff08\u5982\u9752\u5e74\uff0c\u6210\u5e74\uff0c\u6216\u9ad8\u7ea7\uff09\u53d6 \u4ee3\u4f4e\u5c42\u6b21\u7684\u6982\u5ff5\uff08\u5982\u5e74\u9f84\u6570\u503c\uff09\u51cf\u5c11\u6570\u636e<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6570\u636e\u4ed3\u5e93\u4e0e\u8054\u673a\u5206\u6790\u5904\u7406<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u524d\u8a00<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u57fa\u672c\u6982\u5ff5<\/h4>\n\n\n\n<p><strong>\u5b9a\u4e49<\/strong>\uff1a\u6570\u636e\u4ed3\u5e93\u662f\u9762\u5411\u4e3b\u9898\u3001\u96c6\u6210\u3001\u968f\u65f6\u95f4\u53d8\u5316\u4e14\u975e\u6613\u5931\u7684\u6570\u636e\u96c6\u5408\uff0c\u7528\u4e8e\u652f\u6301\u7ba1\u7406\u51b3\u7b56\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<p>\u4e0eOLTP\u533a\u522b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u5bf9\u6bd4\u9879<\/td><td>OLTP<\/td><td>OLAP<\/td><\/tr><tr><td>\u7528\u6237<\/td><td>\u529e\u4e8b\u5458\u3001IT \u4e13\u4e1a\u4eba\u5458<\/td><td>\u77e5\u8bc6\u5de5\u4eba<\/td><\/tr><tr><td>\u529f\u80fd<\/td><td>\u65e5\u5e38\u64cd\u4f5c<\/td><td>\u51b3\u7b56\u652f\u6301<\/td><\/tr><tr><td>\u6570\u636e<\/td><td>\u5f53\u524d\u3001\u8be6\u7ec6&nbsp;<\/td><td>\u5386\u53f2\u3001\u6c47\u603b<\/td><\/tr><tr><td>\u64cd\u4f5c<\/td><td>\u8bfb \/ \u5199<\/td><td>\u5927\u91cf\u626b\u63cf<\/td><\/tr><tr><td>\u5de5\u4f5c\u5355\u4f4d<\/td><td>\u77ed\u4e8b\u52a1<\/td><td>\u590d\u6742\u67e5\u8be2<\/td><\/tr><tr><td>\u6570\u636e\u89c4\u6a21<\/td><td>100MB-GB<\/td><td>100GB-TB<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u67b6\u6784\uff1a\u4e09\u5c42\u67b6\u6784\uff0c\u5305\u62ec\u5e95\u5c42\u6570\u636e\u4ed3\u5e93\u670d\u52a1\u5668\u3001\u4e2d\u95f4 OLAP \u670d\u52a1\u5668\u3001\u524d\u7aef\u5ba2\u6237\u5de5\u5177\u5c42\u3002<\/p>\n\n\n\n<p>\u6a21\u578b\uff1a<br>\u4f01\u4e1a\u4ed3\u5e93\uff1a\u641c\u96c6\u8de8\u8d8a\u6574\u4e2a\u7ec4\u7ec7\u7684\u4e3b\u9898\u4fe1\u606f\u3002<br>\u6570\u636e\u96c6\u5e02\uff1a\u4f01\u4e1a\u6570\u636e\u7684\u5b50\u96c6\uff0c\u9488\u5bf9\u7279\u5b9a\u7528\u6237\u3002<br>\u865a\u62df\u4ed3\u5e93\uff1a\u64cd\u4f5c\u6570\u636e\u5e93\u4e0a\u7684\u4e00\u7cfb\u5217\u89c6\u56fe\u3002<\/p>\n\n\n\n<p><strong>\u591a\u7ef4\u6570\u636e\u6a21\u578b<\/strong>\uff1a<br>\u661f\u578b\u6a21\u5f0f\uff1a\u4e8b\u5b9e\u8868\u5728\u4e2d\u5fc3\uff0c\u8fde\u63a5\u7ef4\u8868\u3002<br>\u96ea\u82b1\u6a21\u5f0f\uff1a\u7ef4\u8868\u89c4\u8303\u5316\uff0c\u8fdb\u4e00\u6b65\u5206\u89e3\u3002<br>\u4e8b\u5b9e\u661f\u5ea7\u6a21\u5f0f\uff1a\u591a\u4e2a\u4e8b\u5b9e\u8868\u5171\u4eab\u7ef4\u8868\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u6570\u636e\u6307\u6807\u4f53\u7cfb\u8bbe\u8ba1\u4e0e\u5e94\u7528\u5b9e\u8df5<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u6307\u6807<\/h4>\n\n\n\n<p><strong>\u5b9a\u4e49<\/strong>\uff1a\u4ece\u4e1a\u52a1\u4e2d\u62bd\u8c61\u51fa\u53ef\u63cf\u8ff0\u4e1a\u52a1\u73b0\u72b6\u7684\u5ea6\u91cf\u503c\uff0c\u5982\u7535\u5546\u7684 GMV\u3001\u7528\u6237\u4ed8\u8d39\u7387\u7b49\u3002<\/p>\n\n\n\n<p>\u5206\u7c7b\u6807\u51c6<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e1a\u52a1\u903b\u8f91\n<ul class=\"wp-block-list\">\n<li>\u5317\u6781\u661f\u6307\u6807\uff0c\u6307\u5f15\u4e1a\u52a1\u53d1\u5c55\u7684\u91cd\u8981\u6307\u6807\uff0c\u5982\u7535\u5546 GMV<\/li>\n\n\n\n<li>\u7ed3\u679c\u6307\u6807\uff0c\u5317\u6781\u661f\u6307\u6807\u62c6\u5206\u7684\u5b50\u76ee\u6807\uff0c\u5982\u6210\u4ea4\u7528\u6237\u6570<\/li>\n\n\n\n<li>\u8fc7\u7a0b\u6307\u6807\uff0c\u8fbe\u6210\u7ed3\u679c\u7684\u8fc7\u7a0b\u6307\u6807\uff0c\u5982\u70b9\u51fb UV<\/li>\n\n\n\n<li>\u8fd0\u8425\u6307\u6807\uff0c\u4e1a\u52a1\u8fd0\u8425\u6a21\u5f0f\u76f8\u5173\uff0c\u5982\u5546\u54c1\u5e93\u5b58<\/li>\n\n\n\n<li>\u76d1\u63a7\u6307\u6807\uff0c\u4e1a\u52a1\u5916\u90e8\u4e0d\u53ef\u63a7\u56e0\u7d20\uff0c\u5982\u7ade\u54c1\u6570\u636e<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u6784\u6210\n<ul class=\"wp-block-list\">\n<li>\u539f\u5b50\u6307\u6807\uff0c\u4e0d\u53ef\u518d\u62c6\u5206\uff0c\u7531\u7edf\u8ba1\u7ef4\u5ea6\u3001\u5ea6\u91cf\u3001\u6c47\u603b\u65b9\u5f0f\u7ec4\u6210\uff0c\u5982\u65e5\u6d3b\u8dc3\u7528\u6237\u6570\u91cf<\/li>\n\n\n\n<li>\u6d3e\u751f\u6307\u6807\uff0c\u7531\u539f\u5b50\u6307\u6807\u7b49\u6784\u6210\uff0c\u5206\u4e8b\u52a1\u578b\u3001\u5b58\u91cf\u3001\u590d\u5408\u578b\uff0c\u5982\u4ed8\u8d39\u8f6c\u5316\u7387<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u8bc4\u4ef7\u6807\u51c6<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b80\u5355\u6613\u61c2\uff1a\u542b\u4e49\u65e0\u6b67\u4e49\uff0c\u5982 GMV \u6613\u7406\u89e3\uff0c\u5f39\u51fa\u7387\u5b9a\u4e49\u590d\u6742\u5c11\u7528\u3002<\/li>\n\n\n\n<li>\u5177\u53ef\u6bd4\u6027\uff1a\u53ef\u5728\u4e0d\u540c\u65f6\u95f4\u6bb5\u7b49\u6bd4\u8f83\uff0c\u5982\u6e17\u900f\u7387\u6392\u540d\u3001\u540c\u6bd4\u53d8\u5316\u3002<\/li>\n\n\n\n<li>\u662f\u6bd4\u7387\uff1a\u5982\u4ed8\u8d39\u8f6c\u5316\u7387\u6bd4\u4ed8\u8d39\u4eba\u6570\u66f4\u76f4\u89c2\u3002<\/li>\n\n\n\n<li>\u6539\u53d8\u884c\u4e3a\uff1a\u5148\u89c1\u6027\u6307\u6807\u5982\u590d\u8d2d\u7387\u53ef\u9884\u8b66\uff0c\u540e\u89c1\u6027\u6307\u6807\u5982\u9000\u8d27\u7387\u63d0\u793a\u95ee\u9898\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6ce8\u610f\u95ee\u9898<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5b9a\u6027\u4e0e\u5b9a\u91cf\u6307\u6807\u7ed3\u5408\uff1a\u5b9a\u91cf\u5982\u9500\u552e\u989d\uff0c\u5b9a\u6027\u5982\u7528\u6237\u8bc4\u4ef7\u53ef\u8f6c\u5316\u4e3a\u5b9a\u91cf\u3002<\/li>\n\n\n\n<li>\u8b66\u60d5\u865a\u8363\u6307\u6807\uff0c\u9009\u62e9\u53ef\u6267\u884c\u6307\u6807\uff1a\u5982\u603b\u6ce8\u518c\u7528\u6237\u6570\uff0c\u53ef\u7531\u6d3b\u8dc3\u7528\u6237\u5360\u6bd4\u7b49\u66ff\u4ee3\u3002<\/li>\n\n\n\n<li>\u5148\u89c1\u6027\u4e0e\u540e\u89c1\u6027\u6307\u6807\u90fd\u91cd\u8981\uff1a\u5148\u89c1\u6027\u5982\u6d3b\u8dc3\u7387\uff0c\u540e\u89c1\u6027\u5982\u6d41\u5931\u7387\u3002<\/li>\n\n\n\n<li>\u533a\u5206\u76f8\u5173\u6027\u4e0e\u56e0\u679c\u6027\u6307\u6807\uff1a\u76f8\u5173\u4e0d\u4e00\u5b9a\u56e0\u679c\uff0c\u9700\u591a\u95ee \u201c\u4e3a\u4ec0\u4e48\u201d\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u6307\u6807\u4f53\u7cfb<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u591a\u4e2a\u5173\u8054\u6307\u6807\u6309\u903b\u8f91\u548c\u5c42\u7ea7\u7ec4\u7ec7\uff0c\u7528\u4e8e\u76d1\u63a7\u4e1a\u52a1\u3002<\/li>\n\n\n\n<li><strong>\u8981\u7d20<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5317\u6781\u661f\u6307\u6807\uff1a\u8bc4\u4ef7\u4e1a\u52a1\u6700\u91cd\u8981\u7684\u6307\u6807\uff0c\u5982\u4ea4\u6613\u7c7b\u4ea7\u54c1\u7684 GMV\u3002<\/li>\n\n\n\n<li>\u6838\u5fc3\u6307\u6807\uff1a\u5317\u6781\u661f\u6307\u6807\u62c6\u89e3\u7684\u8fc7\u7a0b\u6307\u6807\uff0c\u5982\u6210\u4ea4\u7528\u6237\u6570\u3002<\/li>\n\n\n\n<li>\u5206\u6790\u7ef4\u5ea6\uff1a\u51cf\u5c11\u5e73\u5747\u6570\u9677\u9631\uff0c\u5982\u65f6\u95f4\u3001\u5730\u533a\u3001\u7528\u6237\u7c7b\u578b\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4f5c\u7528<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5f62\u6210\u6807\u51c6\u5316\u8861\u91cf\u6307\u6807\uff0c\u76d1\u63a7\u4e1a\u52a1\u53d1\u5c55\u3002<\/li>\n\n\n\n<li>\u901a\u8fc7\u6307\u6807\u5206\u7ea7\u6cbb\u7406\uff0c\u5feb\u901f\u5b9a\u4f4d\u95ee\u9898\u3002<\/li>\n\n\n\n<li>\u51cf\u5c11\u91cd\u590d\u5de5\u4f5c\uff0c\u63d0\u9ad8\u5206\u6790\u6548\u7387\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6784\u5efa\u6d41\u7a0b<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6307\u6807\u89c4\u5212\uff1a\u660e\u786e\u4e1a\u52a1\u76ee\u6807\u3001\u6784\u5efa\u6570\u636e\u5b57\u5178\u3002<\/li>\n\n\n\n<li>\u6570\u636e\u91c7\u96c6\u548c\u52a0\u5de5\uff1a\u660e\u786e\u5b57\u6bb5\u7c7b\u578b\u3001\u4e0a\u62a5\u65f6\u95f4\u548c\u65b9\u5f0f\u3002<\/li>\n\n\n\n<li>\u62a5\u8868\u5448\u73b0\uff1a\u9009\u53d6\u5408\u9002\u6307\u6807\u3001\u7ef4\u5ea6\uff0c\u7528 BI \u5de5\u5177\u5448\u73b0\u3002<\/li>\n\n\n\n<li>\u5e94\u7528\uff1a\u76d1\u63a7\u4e1a\u52a1\u3001\u4e0a\u5377\u4e0b\u94bb\u6392\u67e5\u5f02\u52a8\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u6784\u5efa\u65b9\u6cd5\u8bba<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6b65\u9aa4<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u76ee\u6807\u5316\uff1a\u660e\u786e\u4e1a\u52a1\u76ee\u6807\uff0c\u68b3\u7406\u5317\u6781\u661f\u6307\u6807\u3002<\/li>\n\n\n\n<li>\u6a21\u5757\u5316\u53ca\u6d41\u7a0b\u5316\uff1a\u68b3\u7406\u4e1a\u52a1\u6d41\u7a0b\uff0c\u660e\u786e\u6838\u5fc3\u6307\u6807\uff0c\u7528 AARRR\u3001UJM \u6a21\u578b\u3002<\/li>\n\n\n\n<li>\u5c42\u7ea7\u5316\uff1a\u6570\u636e\u6307\u6807\u5206\u7ea7\u4e0b\u94bb\uff0c\u7528 MECE \u6a21\u578b\u3002<\/li>\n\n\n\n<li>\u7ef4\u5ea6\u5316\uff1a\u9009\u62e9\u7ef4\u5ea6\u5b9e\u73b0\u4e0a\u5377\u4e0b\u94bb\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6a21\u578b<\/strong>\uff1a\u6307\u5bfc\u6784\u5efa\u5b8c\u6574\u800c\u6e05\u6670\u7684\u6570\u636e\u6307\u6807\u4f53\u7cfb\u7684\u65b9\u6cd5\u8bba\n<ul class=\"wp-block-list\">\n<li>OSM \u6a21\u578b\uff1aObject\uff08\u4e1a\u52a1\u76ee\u6807\uff09\u3001Strategy\uff08\u884c\u52a8\u7b56\u7565\uff09\u3001Measure\uff08\u8bc4\u4f30\u6307\u6807\uff09\u3002<\/li>\n\n\n\n<li>AARRR \u6a21\u578b\uff1a\u7528\u6237\u83b7\u53d6\u3001\u6fc0\u6d3b\u3001\u7559\u5b58\u3001\u4ed8\u8d39\u3001\u63a8\u5e7f\u3002<\/li>\n\n\n\n<li>UJM \u6a21\u578b\uff1a\u7528\u6237\u65c5\u7a0b\u5730\u56fe\uff0c\u68b3\u7406\u4e1a\u52a1\u6d41\u7a0b\u3002<\/li>\n\n\n\n<li>MECE \u6a21\u578b\uff1a\u6307\u6807\u76f8\u4e92\u72ec\u7acb\u3001\u5b8c\u5168\u7a77\u5c3d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u6784\u5efa\u6848\u4f8b<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u573a\u666f<\/strong>\uff1a\u804c\u573a\u5728\u7ebf\u6559\u80b2 App \u7528\u6237\u6ce8\u518c\u8f6c\u5316\u3002<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u660e\u786e\u5317\u6781\u661f\u6307\u6807\uff1a\u5904\u4e8e\u53d1\u5c55\u671f\u8fc7\u6e21\u9636\u6bb5\uff0c\u5317\u6781\u661f\u6307\u6807\u4e3a\u8bfe\u7a0b\u6536\u5165\uff08GMV\uff09\uff0c\u8f85\u52a9\u6307\u6807\u4e3a\u4f18\u8d28\u6d3b\u8dc3\u7528\u6237\u6570\u91cf\u3002<\/li>\n\n\n\n<li>\u68b3\u7406\u8fc7\u7a0b\u6307\u6807\uff1a\u6309 AARRR \u6a21\u578b\uff0c\u8fc7\u7a0b\u6307\u6807\u4e3a\u65b0\u7528\u6237\u6570\u91cf\u3001\u6d3b\u8dc3\u7528\u6237\u6570\u91cf\u3001\u7559\u5b58\u7528\u6237\u6570\u91cf\u3001\u4ed8\u8d39\u7528\u6237\u6570\u91cf\u3001\u5206\u4eab\u7528\u6237\u6570\u91cf\u3002<\/li>\n\n\n\n<li>\u6307\u6807\u4e0b\u94bb\u5206\u7ea7\uff1a\u5982 GMV \u4e0b\u94bb\u4e3a\u6210\u4ea4\u7528\u6237\u6570\u548c\u5e73\u5747\u5ba2\u5355\u4ef7\uff0c\u518d\u4e0b\u94bb\u4e3a\u70b9\u51fb UV \u548c\u8bbf\u8d2d\u7387\u7b49\u3002<\/li>\n\n\n\n<li>\u6dfb\u52a0\u5206\u6790\u7ef4\u5ea6\uff1a\u7528\u6237\u7c7b\u578b\u3001\u6765\u6e90\u6e20\u9053\u3001\u8bbe\u5907\u4fe1\u606f\u3001\u65f6\u95f4\u5468\u671f\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u57cb\u70b9<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u91c7\u96c6\u7528\u6237\u884c\u4e3a\u6570\u636e\u7684\u65b9\u5f0f\uff0c\u662f\u83b7\u53d6\u6570\u636e\u6307\u6807\u4f53\u7cfb\u6570\u636e\u7684\u5173\u952e\u3002<\/li>\n\n\n\n<li><strong>\u5206\u7c7b<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u666e\u901a\u57cb\u70b9\uff1a\u7b80\u5355\u91c7\u96c6\u57fa\u672c\u4fe1\u606f\uff0c\u5982 PV\u3001UV\u3002<\/li>\n\n\n\n<li>\u4e8b\u4ef6\u57cb\u70b9\uff1a\u7cbe\u51c6\u91c7\u96c6\u7528\u6237\u64cd\u4f5c\u53ca\u5143\u7d20\u5c5e\u6027\uff0c\u5982\u52a8\u4f5c\u53d1\u751f\u65f6\u95f4\u3001\u5185\u5bb9\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8bbe\u8ba1\u6b65\u9aa4<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u786e\u8ba4\u4e8b\u4ef6\u4e0e\u53d8\u91cf\uff1a\u5982\u7528\u6237\u6ce8\u518c\u4e8b\u4ef6\uff0c\u53d8\u91cf\u4e3a\u6ce8\u518c\u6570\u91cf\u3002<\/li>\n\n\n\n<li>\u786e\u8ba4\u89e6\u53d1\u65f6\u673a\uff1a\u5982\u7528\u6237\u5b8c\u6210\u6ce8\u518c\u8d44\u6599\u586b\u5199\u65f6\u89e6\u53d1\u7528\u6237\u83b7\u53d6\u4e8b\u4ef6\u3002<\/li>\n\n\n\n<li>\u786e\u8ba4\u4e0a\u62a5\u673a\u5236\uff1a\u9009\u62e9\u5b9e\u65f6\u6216\u5f02\u6b65\uff0c\u5ba2\u6237\u7aef\u6216\u670d\u52a1\u5668\u4e0a\u62a5\u3002<\/li>\n\n\n\n<li>\u7edf\u4e00\u5b57\u6bb5\u540d\uff1a\u5982\u6d88\u8d39\u91d1\u989d\u7edf\u4e00\u7528 Amount \u5b57\u6bb5\u3002<\/li>\n\n\n\n<li>\u7edf\u4e00\u8868\u7ed3\u6784\uff1a\u5206\u7528\u6237\u57fa\u7840\u4fe1\u606f\u5c42\u3001\u884c\u4e3a\u4fe1\u606f\u5c42\u7b49\u3002<\/li>\n\n\n\n<li>\u660e\u786e\u4f18\u5148\u7ea7\uff1a\u6839\u636e\u6307\u6807\u4f53\u7cfb\u4f18\u5148\u7ea7\u786e\u5b9a\u57cb\u70b9\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u4ed3\u5e93<\/h3>\n\n\n\n<p><strong>\u5b9a\u4e49<\/strong>\uff1a\u6570\u636e\u4ed3\u5e93\u662f\u9762\u5411\u4e3b\u9898\u3001\u96c6\u6210\u3001\u968f\u65f6\u95f4\u53d8\u5316\u4e14\u975e\u6613\u5931\u7684\u6570\u636e\u96c6\u5408\uff0c\u7528\u4e8e\u652f\u6301\u7ba1\u7406\u51b3\u7b56\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<p><strong>\u7279\u70b9<\/strong>\uff1a<br><strong>\u9762\u5411\u4e3b\u9898<\/strong>\uff1a\u56f4\u7ed5\u987e\u5ba2\u3001\u4ea7\u54c1\u7b49\u4e3b\u9898\u7ec4\u7ec7\u6570\u636e\u3002<br><strong>\u96c6\u6210<\/strong>\uff1a\u6574\u5408\u591a\u4e2a\u5f02\u79cd\u6570\u636e\u6e90\uff0c\u9700\u6570\u636e\u6e05\u7406\u548c\u96c6\u6210\u3002<br><strong>\u65f6\u53d8<\/strong>\uff1a\u5b58\u50a8\u5386\u53f2\u6570\u636e\uff08\u5982\u8fc7\u53bb 5-10 \u5e74\uff09\uff0c\u5173\u952e\u7ed3\u6784\u542b\u65f6\u95f4\u5143\u7d20\u3002<br><strong>\u975e\u6613\u5931<\/strong>\uff1a\u7269\u7406\u4e0a\u4e0e\u64cd\u4f5c\u6570\u636e\u5e93\u5206\u79bb\uff0c\u4ec5\u9700\u521d\u59cb\u88c5\u8f7d\u548c\u8bbf\u95ee\u3002<\/p>\n\n\n\n<p>\u64cd\u4f5c\u578b\u6570\u636e\u5e93\u4e3b\u8981\u652f\u6301OLTP\u8054\u673a\u4e8b\u52a1\u5904\u7406\uff0c\u6570\u636e\u4ed3\u5e93\u4e3b\u8981\u652f\u6301OLAP\u8054\u673a\u5206\u6790\u5904\u7406<\/p>\n\n\n\n<p>\u67b6\u6784\u4e0e\u6a21\u578b\uff1a<br>\u4e09\u5c42\u67b6\u6784\uff1a\u5e95\u5c42\u6570\u636e\u4ed3\u5e93\u670d\u52a1\u5668\u3001\u4e2d\u95f4 OLAP \u670d\u52a1\u5668\u3001\u524d\u7aef\u5ba2\u6237\u5de5\u5177\u3002<br>\u6a21\u578b\uff1a\u4f01\u4e1a\u4ed3\u5e93\uff08\u8de8\u7ec4\u7ec7\u4e3b\u9898\uff09\u3001\u6570\u636e\u96c6\u5e02\uff08\u90e8\u95e8\u5b50\u96c6\uff09\u3001\u865a\u62df\u4ed3\u5e93\uff08\u64cd\u4f5c\u6570\u636e\u5e93\u89c6\u56fe\uff09\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u4ed3\u5e93\u5efa\u6a21<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6570\u636e\u7acb\u65b9\u4f53<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u7531\u7ef4\u8868\u548c\u4e8b\u5b9e\u8868\u7ec4\u6210\uff0c\u7ef4\u5982\u65f6\u95f4\u3001\u4ea7\u54c1\uff0c\u4e8b\u5b9e\u8868\u542b\u5ea6\u91cf\uff08\u5982\u9500\u552e\u989d\uff09\u3002\n<ul class=\"wp-block-list\">\n<li>\u5982\u5c06\u591a\u5f20\u4e8c\u7ef4\u8868\u7684\u6570\u636e\u5408\u5e76\u6210\u4e00\u4e2a\u5927\u7acb\u65b9\u4f53\uff0c\u53ef\u4ee5\u662f\u5f88\u591a\u7ef4<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u65b9\u4f53\u683c\uff1an \u7ef4\u6570\u636e\u7acb\u65b9\u4f53\u6709\\(\\prod_{i=1}^{n}(L_{i}+1)\\)\u4e2a\u65b9\u4f53\uff0c\u5982 10 \u7ef4 5 \u5c42\u65b9\u4f53\u6570\u7ea6\u4e3a5<sup>10<\/sup>\u22489.8\u00d710<sup>6<\/sup>\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6982\u5ff5\u6a21\u578b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u661f\u578b\u6a21\u5f0f<\/strong>\uff1a\u4e8b\u5b9e\u8868\u5c45\u4e2d\uff0c\u8fde\u63a5\u7ef4\u8868\uff0c\u65e0\u5197\u4f59\u3002<\/li>\n\n\n\n<li><strong>\u96ea\u82b1\u6a21\u5f0f<\/strong>\uff1a\u7ef4\u8868\u89c4\u8303\u5316\uff0c\u8fdb\u4e00\u6b65\u5206\u89e3\uff0c\u5982\u57ce\u5e02\u7ef4\u62c6\u5206\u4e3a\u57ce\u5e02\u3001\u7701\u4efd\u8868\u3002<\/li>\n\n\n\n<li><strong>\u4e8b\u5b9e\u661f\u5ea7\u6a21\u5f0f<\/strong>\uff1a\u591a\u4e2a\u4e8b\u5b9e\u8868\u5171\u4eab\u7ef4\u8868\uff0c\u5982\u9500\u552e\u548c\u53d1\u8d27\u4e8b\u5b9e\u8868\u5171\u4eab\u65f6\u95f4\u7ef4\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7ef4\u4e0e\u5ea6\u91cf<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u6982\u5ff5\u5206\u5c42<\/strong>\uff1a\u5982 location \u7684 city&lt;province&lt;country\u3002<\/li>\n\n\n\n<li><strong>\u5ea6\u91cf\u5206\u7c7b<\/strong>\uff1a\u5206\u5e03\u7684\uff08count\u3001sum\uff09\u3001\u4ee3\u6570\u7684\uff08avg\uff09\u3001\u6574\u4f53\u7684\uff08median\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>OLAP \u64cd\u4f5c<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u4e0a\u5377<\/strong>\uff1a\u6cbf\u7ef4\u5c42\u6b21\u6c47\u603b\uff0c\u5982\u4ece\u6708\u4efd\u6c47\u603b\u5230\u5b63\u5ea6\u3002<\/li>\n\n\n\n<li><strong>\u4e0b\u94bb<\/strong>\uff1a\u7ec6\u5316\u5230\u66f4\u7ec6\u5c42\u6b21\uff0c\u5982\u4ece\u5b63\u5ea6\u4e0b\u94bb\u5230\u6708\u4efd\u3002<\/li>\n\n\n\n<li><strong>\u5207\u7247<\/strong>\uff1a\u5728\u4e00\u7ef4\u4e0a\u9009\u62e9\uff0c\u5982\u9009 2023 \u5e74 Q1 \u6570\u636e\u3002<\/li>\n\n\n\n<li><strong>\u5207\u5757<\/strong>\uff1a\u591a\u7ef4\u9009\u62e9\uff0c\u5982\u9009 2023 \u5e74 Q1 \u4e14\u5730\u533a\u4e3a\u534e\u4e1c\u7684\u6570\u636e\u3002<\/li>\n\n\n\n<li><strong>\u8f6c\u8f74<\/strong>\uff1a\u8f6c\u6362\u7ef4\u7684\u4f4d\u7f6e\uff0c\u5982\u4ea4\u6362\u65f6\u95f4\u548c\u5730\u533a\u7ef4\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u4ed3\u5e93\u8bbe\u8ba1\u4e0e\u4f7f\u7528<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u8bbe\u8ba1\u6846\u67b6<\/strong>\uff1a\u56db\u89c6\u56fe\uff08\u81ea\u9876\u5411\u4e0b\u9009\u4fe1\u606f\u3001\u6570\u636e\u6e90\u89c6\u56fe\u3001\u6570\u636e\u4ed3\u5e93\u89c6\u56fe\u3001\u5546\u52a1\u67e5\u8be2\u89c6\u56fe\uff09\u3002<\/li>\n\n\n\n<li><strong>\u8bbe\u8ba1\u8fc7\u7a0b<\/strong>\uff1a\u9009\u5546\u52a1\u5904\u7406\u3001\u786e\u5b9a\u7c92\u5ea6\uff08\u5982\u4e8b\u52a1\u7ea7\uff09\u3001\u9009\u7ef4\u3001\u9009\u5ea6\u91cf\u3002<\/li>\n\n\n\n<li><strong>\u5f00\u53d1\u65b9\u6cd5<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u81ea\u9876\u5411\u4e0b<\/strong>\uff1a\u6574\u4f53\u8bbe\u8ba1\uff0c\u89c4\u8303\u5316\u9ad8\uff0c\u5468\u671f\u957f\u3002<\/li>\n\n\n\n<li><strong>\u81ea\u5e95\u5411\u4e0a<\/strong>\uff1a\u4ece\u539f\u578b\u5f00\u59cb\uff0c\u7075\u6d3b\uff0c\u6613\u96c6\u6210\u95ee\u9898\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5e94\u7528<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u4fe1\u606f\u5904\u7406<\/strong>\uff1a\u67e5\u8be2\u3001\u62a5\u8868\u3002<\/li>\n\n\n\n<li><strong>\u5206\u6790\u5904\u7406<\/strong>\uff1a\u591a\u7ef4\u5206\u6790\uff0cOLAP \u64cd\u4f5c\u3002<\/li>\n\n\n\n<li><strong>\u6570\u636e\u6316\u6398<\/strong>\uff1a\u5173\u8054\u3001\u5206\u7c7b\u7b49\uff0c\u4e0e OLAP \u96c6\u6210\u3002<\/li>\n\n\n\n<li><strong>OLAM<\/strong>\uff1a\u8054\u673a\u5206\u6790\u6316\u6398\uff0c\u7ed3\u5408 OLAP \u548c\u6570\u636e\u6316\u6398\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u6570\u636e\u4ed3\u5e93\u5b9e\u73b0<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6570\u636e\u7acb\u65b9\u4f53\u8ba1\u7b97<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u5168\u7269\u5316<\/strong>\uff1a\u8ba1\u7b97\u6240\u6709\u65b9\u4f53\uff0c\u53ef\u80fd\u5bfc\u81f4\u7ef4\u707e\u96be\u3002<\/li>\n\n\n\n<li><strong>\u90e8\u5206\u7269\u5316<\/strong>\uff1a\u9009\u90e8\u5206\u65b9\u4f53\uff0c\u5982\u51b0\u5c71\u7acb\u65b9\u4f53\uff08\u4ec5\u5b58\u805a\u96c6\u503c\u2265\u9608\u503c\u7684\u5355\u5143\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7d22\u5f15\u6280\u672f<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u4f4d\u56fe\u7d22\u5f15<\/strong>\uff1a\u6bcf\u4f4d\u4ee3\u8868\u8bb0\u5f55\u662f\u5426\u542b\u67d0\u503c\uff0c\u5982\u6027\u522b\u7ef4\u7684 \u201c\u7537\u201d\u201c\u5973\u201d \u4f4d\u5411\u91cf\u3002<\/li>\n\n\n\n<li><strong>\u8fde\u63a5\u7d22\u5f15<\/strong>\uff1a\u7269\u5316\u5173\u7cfb\u8fde\u63a5\uff0c\u52a0\u901f\u67e5\u8be2\uff0c\u5982\u57ce\u5e02\u7ef4\u4e0e\u9500\u552e\u4e8b\u5b9e\u8868\u7684\u8fde\u63a5\u7d22\u5f15\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u67e5\u8be2\u5904\u7406<\/strong>\uff1a\u786e\u5b9a\u64cd\u4f5c\u5bf9\u5e94 SQL\uff0c\u9009\u62e9\u7269\u5316\u65b9\u4f53\uff0c\u5982\u67e5\u8be2 {brand, province_or_state} \u9009\u542b\u8be5\u7ef4\u7684\u7269\u5316\u65b9\u4f53\u3002<\/li>\n\n\n\n<li><strong>\u670d\u52a1\u5668\u67b6\u6784<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>ROLAP<\/strong>\uff1a\u7528\u5173\u7cfb\u6570\u636e\u5e93\uff0c\u53ef\u6269\u5c55\u6027\u597d\uff0c\u6027\u80fd\u8f83\u4f4e\u3002<\/li>\n\n\n\n<li><strong>MOLAP<\/strong>\uff1a\u591a\u7ef4\u6570\u7ec4\u5b58\u50a8\uff0c\u6027\u80fd\u9ad8\uff0c\u7a7a\u95f4\u9700\u6c42\u5927\u3002<\/li>\n\n\n\n<li><strong>HOLAP<\/strong>\uff1a\u6df7\u5408\uff0c\u5982\u5e95\u5c42\u5173\u7cfb\u3001\u9ad8\u5c42\u6570\u7ec4\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u9891\u7e41\u6a21\u5f0f\u6316\u6398\u53ca\u5173\u8054\u89c4\u5219<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u57fa\u672c\u6982\u5ff5<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9891\u7e41\u6a21\u5f0f<\/strong>\uff1a\u9891\u7e41\u51fa\u73b0\u5728\u6570\u636e\u96c6\u4e2d\u7684\u6a21\u5f0f\uff0c\u5982\u9879\u96c6\u3001\u5b50\u5e8f\u5217\u7b49\uff0c\u52a8\u673a\u662f\u5bfb\u627e\u6570\u636e\u5185\u5728\u89c4\u5f8b\uff0c\u5e94\u7528\u4e8e\u8d2d\u7269\u7bee\u5206\u6790\u3001DNA \u5e8f\u5217\u5206\u6790\u7b49\u3002<\/li>\n\n\n\n<li><strong>\u9879\u96c6\u76f8\u5173\u5b9a\u4e49\u9879\u96c6<\/strong>\uff1a\u7269\u54c1\u7684\u96c6\u5408\uff0ck &#8211; \u9879\u96c6\u5305\u542b k \u4e2a\u7269\u54c1\uff0c\u5982 {\u725b\u5976\uff0c\u9762\u5305\uff0c\u5c3f\u5e03} \u662f 3 &#8211; \u9879\u96c6\u3002\n<ul class=\"wp-block-list\">\n<li><strong>\u652f\u6301\u5ea6\u8ba1\u6570<\/strong>\uff1a\u9879\u96c6\u51fa\u73b0\u7684\u9891\u7387\uff0c\u4f8b\u5982\uff1a{\u5c3f\u5e03\uff0c\u5564\u9152}\u540c\u65f6\u51fa\u73b0\u7684\u9891\u7387<\/li>\n\n\n\n<li><strong>\u652f\u6301\u5ea6<\/strong>\uff1a\u5305\u542b\u9879\u96c6\u7684\u4e8b\u52a1\u5360\u6bd4\uff0c\u4f8b\u5982\uff1a{\u5c3f\u5e03\uff0c\u5564\u9152}\u540c\u65f6\u51fa\u73b0\u7684\u6982\u7387<\/li>\n\n\n\n<li><strong>\u9891\u7e41\u9879\u96c6<\/strong>\uff1a\u652f\u6301\u5ea6\u2265\u6700\u5c0f\u652f\u6301\u5ea6\u9608\u503c\u7684\u9879\u96c6\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5173\u8054\u89c4\u5219<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5f62\u5f0f\u4e3aX \u2192 Y\uff0c\u5982{\u725b\u5976, \u5c3f\u5e03} \u2192 {\u5564\u9152}\u3002<\/li>\n\n\n\n<li><strong>\u652f\u6301\u5ea6<\/strong>\uff1a\u540c\u65f6\u5305\u542b X \u548c Y \u7684<strong>\u4e8b\u52a1\u5360\u6bd4<\/strong>\uff0cs(X \u2192 Y)=P(X U Y)\u3002<\/li>\n\n\n\n<li><strong>\u7f6e\u4fe1\u5ea6<\/strong>\uff1a\u5305\u542b X \u7684\u4e8b\u52a1\u4e2d\u5305\u542b Y \u7684\u5360\u6bd4\uff0cc(X \u2192 Y)=P(Y|X)=P(X U Y)\/P(X)\u3002<\/li>\n\n\n\n<li><strong>\u5f3a\u89c4\u5219<\/strong>\uff1a\u540c\u65f6\u6ee1\u8db3\u6700\u5c0f\u652f\u6301\u5ea6\u548c\u7f6e\u4fe1\u5ea6\u9608\u503c\u7684\u89c4\u5219\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u901a\u8fc7\u652f\u6301\u5ea6\uff0c\u7f6e\u4fe1\u5ea6\u7684\u65b9\u6cd5\u975e\u5e38\u66b4\u529b\uff0c\u8fd0\u7b97\u91cf\u8fc7\u5927M = 2<sup>d<\/sup>\uff0c\u5728\u5927\u6570\u636e\u4e0a\u6ca1\u6709\u529e\u6cd5\u8fd0\u7b97<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u9891\u7e41\u9879\u96c6\u6316\u6398\u65b9\u6cd5<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Apriori \u7b97\u6cd5<\/strong><\/h4>\n\n\n\n<p><strong>\u539f\u7406<\/strong>\uff1a\u5229\u7528\u5148\u9a8c\u6027\u8d28\uff08\u9891\u7e41\u9879\u96c6\u7684\u6240\u6709\u975e\u7a7a\u5b50\u96c6\u5fc5\u9891\u7e41\uff09\uff0c\u82e5\u9879\u96c6\u4e0d\u9891\u7e41\uff0c\u5176\u8d85\u96c6\u4e5f\u4e0d\u9891\u7e41\uff08\u53cd\u5355\u8c03\uff09\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6b65\u9aa4<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u751f\u6210\u9891\u7e41 1 &#8211; \u9879\u96c6\u3002<\/li>\n\n\n\n<li>\u4ece\u9891\u7e41 k &#8211; \u9879\u96c6\u751f\u6210\u957f\u5ea6 k+1 \u7684\u5019\u9009\u96c6\uff0c\u526a\u679d\uff08\u5220\u9664\u542b\u975e\u9891\u7e41\u5b50\u96c6\u7684\u5019\u9009\uff09\u3002<\/li>\n\n\n\n<li>\u626b\u63cf\u6570\u636e\u5e93\u8ba1\u6570\uff0c\u4fdd\u7559\u652f\u6301\u5ea6\u2265\u9608\u503c\u7684\u9891\u7e41\u9879\u96c6\uff0c\u91cd\u590d\u76f4\u81f3\u65e0\u65b0\u9891\u7e41\u9879\u96c6\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>e.g. \u8003\u8651\u4ee5\u4e0b\u6570\u636e\uff0csup<sub>min<\/sub>=2\uff0c\u6c42\u9891\u7e41\u9879\u96c6<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Tid<\/td><td>Items<\/td><\/tr><tr><td>10<\/td><td>A,C,D<\/td><\/tr><tr><td>20<\/td><td>B,C,E<\/td><\/tr><tr><td>30<\/td><td>A,B,C,E<\/td><\/tr><tr><td>40<\/td><td>B,E<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5f97\u51fa\u6240\u6709\u76841 &#8211; \u9879\u96c6\uff1a{A}{B}{C}{D}{E}\uff0c\u652f\u6301\u5ea6\u8ba1\u6570\u5206\u522b\u4e3a2\uff0c3\uff0c3\uff0c1\uff0c3\uff1b{D}\u4e0d\u9891\u7e41<\/li>\n\n\n\n<li>\u63a5\u7740\u5f97\u51fa\u6240\u6709\u7684\u5019\u90092 &#8211; \u9879\u96c6\uff1a{A,B}{A,C}{A,E}{B,C}{B,E}{C,E}\uff0c\u652f\u6301\u5ea6\u8ba1\u6570\u5206\u522b\u4e3a1\uff0c2\uff0c1\uff0c2\uff0c3\uff0c2\uff1b{A,B}{A,E}\u4e0d\u9891\u7e41<\/li>\n\n\n\n<li>\u63a5\u7740\u5f97\u51fa\u5269\u4e0b\u76843 &#8211; \u9879\u96c6\uff0c{A,B,C}{A,B,E}{A,C,E}{B,C,E}\uff0c\u652f\u6301\u5ea6\u8ba1\u6570\u5206\u522b\u4e3a1\uff0c1\uff0c1\uff0c2\uff1b{A,B,C}{A,B,E}{A,C,E}\u4e0d\u9891\u7e41\uff1b\u7136\u540e\u4e00\u770b\u80af\u5b9a\u5c31\u6ca1\u67094 &#8211; \u9879\u96c6<\/li>\n\n\n\n<li>\u6700\u540e\u5f97\u51fa\uff0c\u6240\u6709\u7684\u9891\u7e41\u9879\u96c6\uff08\u9891\u7e41\u7684\u90fd\u653e\u8fdb\u6765\uff09\uff1a{B,C,E}{A,C}{B,C}{B,E}{C,E}{A}{B}{C}{E}<\/li>\n<\/ul>\n\n\n\n<p>\u95ee\u9898\uff1a\u8981\u5bf9\u6570\u636e\u8fdb\u884c\u591a\u6b21\u626b\u63cf\uff1b\u4f1a\u4ea7\u751f\u5927\u91cf\u7684\u5019\u9009\u9879\u96c6\uff1b\u5bf9\u5019\u9009\u9879\u96c6\u7684\u652f\u6301\u5ea6\u8ba1\u7b97\u975e\u5e38\u7e41\u7410\uff1b<br>\u89e3\u51b3\uff1a\u51cf\u5c11\u5bf9\u6570\u636e\u7684\u626b\u63cf\u6b21\u6570\uff1b\u7f29\u5c0f\u4ea7\u751f\u7684\u5019\u9009\u9879\u96c6\uff1b\u6539\u8fdb\u5bf9\u5019\u9009\u9879\u96c6\u7684\u652f\u6301\u5ea6\u8ba1\u7b97\u65b9\u6cd5\uff1b<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong>\u4f18\u5316\u65b9\u6cd5<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u54c8\u5e0c\u8868<\/strong>\uff1a\u6620\u5c04\u9879\u96c6\u5230\u6876\uff0c\u6dd8\u6c70\u4f4e\u652f\u6301\u5ea6\u6876\u4e2d\u7684\u9879\u96c6\u3002\u5373\u901a\u8fc7\u9891\u7e41n\u9879\u96c6\u4ea7\u751fn+1\u9879\u96c6\u65f6\uff0c\u628an+1\u9879\u90fd\u6309\u7167\u54c8\u5e0c\u503c\u53bb\u6563\u5217\uff0c\u653e\u5230\u4e0d\u540c\u7684\u6876\u91cc\u9762\uff0c\u8fd9\u6837\u53ef\u4ee5\u76f4\u63a5\u6839\u636e\u6700\u5c0f\u652f\u6301\u5ea6\u5212\u5206\u3002<br><img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-174.png\" alt=\"\"><br>\u5982\u8fc7sup<sub>min<\/sub>=3\uff0c\u5219\u53ea\u7528\u8003\u8651\u68762,5,6\u4e2d\u662f\u5426\u5b58\u5728\u9891\u7e41\u9879\u96c6\uff08\u56e0\u4e3a\u6709\u53ef\u80fd\u591a\u4e2a\u6620\u5c04\u5230\u4e00\u4e2a\u6876\uff0c\u4f46\u5c0f\u4e8e\u7684\u80af\u5b9a\u4e0d\u5b58\u5728\u9891\u7e41\u9879\u96c6\uff09<\/li>\n\n\n\n<li><strong>\u5212\u5206<\/strong>\uff1a\u5206\u5757\u627e\u5c40\u90e8\u9891\u7e41\u9879\u96c6\uff0c\u4e24\u6b21\u626b\u63cf\u627e\u5168\u5c40\u9891\u7e41\u9879\u96c6\u3002\n<ul class=\"wp-block-list\">\n<li>D\u4e2d\u7684\u4efb\u4f55\u9891\u7e41\u9879\u96c6\u5fc5\u987b\u4f5c\u4e3a\u5c40\u90e8\u9891\u7e41\u9879\u96c6\u81f3\u5c11\u51fa\u73b0\u5728\u4e00\u4e2a\u90e8\u5206\u4e2d<\/li>\n\n\n\n<li>\u7b2c\u4e00\u6b21\u626b\u63cf\uff1a\u5c06\u6570\u636e\u5212\u5206\u4e3a\u591a\u4e2a\u90e8\u5206\u5e76\u627e\u5230\u5c40\u90e8\u9891\u7e41\u9879\u96c6<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u6b21\u626b\u63cf\uff1a\u8bc4\u4f30\u6bcf\u4e2a\u5019\u9009\u9879\u96c6\u7684\u5b9e\u9645\u652f\u6301\u5ea6\uff0c\u4ee5\u786e\u5b9a\u5168\u5c40\u9891\u7e41\u9879\u96c6<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u62bd\u6837<\/strong>\uff1a\u9009\u62e9\u539f\u59cb\u6570\u636e\u7684\u4e00\u4e2a\u6837\u672c\uff0c\u5728\u6837\u672c\u4e0a\u6316\u6398\uff0c\u9a8c\u8bc1\u5e76\u8865\u5168\u9057\u6f0f\u6a21\u5f0f\u3002\n<ul class=\"wp-block-list\">\n<li>\u901a\u8fc7\u727a\u7272\u7cbe\u786e\u5ea6\u6765\u51cf\u5c11\u7b97\u6cd5\u5f00\u9500\uff0c\u4e3a\u4e86\u63d0\u9ad8\u6548\u7387\uff0c\u6837\u672c\u5927\u5c0f\u5e94\u8be5\u4ee5\u53ef\u4ee5\u653e\u5728\u5185\u5b58\u4e2d\u4e3a\u5b9c\uff0c\u53ef\u4ee5\u9002\u5f53\u964d\u4f4e\u6700\u5c0f\u652f\u6301\u5ea6\u6765\u51cf\u5c11\u9057\u6f0f\u7684\u9891\u7e41\u6a21\u5f0f<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e8b\u52a1\u538b\u7f29<\/strong>\uff1a\u5220\u9664\u4e0d\u542b\u9891\u7e41 k &#8211; \u9879\u96c6\u7684\u4e8b\u52a1\u3002<\/li>\n\n\n\n<li><strong>\u52a8\u6001\u9879\u96c6\u8ba1\u6570<\/strong>\uff1a\u6240\u9700\u8981\u7684\u6570\u636e\u5e93\u626b\u63cf\u6bd4Apriori\u7b97\u6cd5\u5c11\u3002\u5982\u4e0b\u56fe\uff0c\u53d1\u73b0{A,D}\u662f\u9891\u7e41\u7684\uff0c\u5219\u7acb\u523b\u5f00\u59cb\u8ba1\u7b97{A,B,D}\uff0c\u5982\u679c\u53d1\u73b0{A,B,D}\u662f\u9891\u7e41\u7684\uff0c\u5219\u8bf4\u660e{A,B}\u3001{B,D}\u662f\u9891\u7e41\u7684<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-175.png\" alt=\"\"><\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>FP-Growth \u7b97\u6cd5<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u539f\u7406<\/strong>\uff1a\u6784\u5efa FP \u6811\u538b\u7f29\u6570\u636e\u5e93\uff0c\u9012\u5f52\u589e\u957f\u9891\u7e41\u6a21\u5f0f\uff0c\u907f\u514d\u663e\u5f0f\u751f\u6210\u5019\u9009\u96c6\u3002\u4eba\u8bdd\u8bf4\uff0c<strong>Apriori&nbsp;<\/strong>\u76f8\u5f53\u4e8e\u5e7f\u641c\uff0c\u800cFP-Growth\u76f8\u5f53\u4e8e\u6df1\u641c\uff0c\u6240\u4ee5\u907f\u514d\u4e86\u4ea7\u751f\u5019\u9009\u9879\u3002<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4<\/strong>\uff1a<br>\u626b\u63cf\u6570\u636e\u5e93\uff0c\u6536\u96c6\u9891\u7e41\u9879\u5e76\u6392\u5e8f\uff0c\u6784\u5efa FP \u6811\u3002<br>\u4ece FP \u6811\u5934\u8868\u6bcf\u4e2a\u9879\u5f00\u59cb\uff0c\u6784\u9020\u6761\u4ef6\u6a21\u5f0f\u57fa\u548c\u6761\u4ef6 FP \u6811\uff0c\u9012\u5f52\u6316\u6398\u3002<\/li>\n\n\n\n<li><strong>FP \u6811\u4f18\u52bf<\/strong>\uff1a\u5b8c\u6574\u6027\uff08\u4fdd\u5b58\u5b8c\u6574\u4fe1\u606f\uff09\u3001\u7d27\u51d1\u6027\uff08\u9891\u7e41\u9879\u6392\u5e8f\u5171\u4eab\u7ed3\u70b9\uff0c\u5220\u9664\u975e\u9891\u7e41\u9879\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p>e.g.\u8003\u8651\u4ee5\u4e0b\u6570\u636e<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-178.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"191\" height=\"307\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-178.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4518\"  sizes=\"auto, (max-width: 191px) 100vw, 191px\" \/><\/div><\/figure>\n\n\n\n<p>\u51481-\u9879\u96c6\u8ba1\u6570\uff0c\u7136\u540e\u9012\u51cf\u6392\u5e8f\uff0c\u5f97\u5230\u53f3\u56fe<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-177.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"207\" height=\"132\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-177.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4515\"\/><\/div><\/figure>\n<\/div>\n\n\n\n<p>\u63a5\u7740\u904d\u5386\u4e8b\u72691-10\uff0c\u6309\u71671-\u9879\u96c6\u8ba1\u6570\u987a\u5e8f\u6765\u6392\u5217\u8282\u70b9\uff0c\u7136\u540e\u6784\u9020FP-Tree<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u8bfb\u53d6TID=1\u7684\u4e8b\u52a1\u540e<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-179.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"257\" height=\"317\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-179.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4521\"  sizes=\"auto, (max-width: 257px) 100vw, 257px\" \/><\/div><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u8bfb\u53d6TID=2\u7684\u4e8b\u52a1\u540e<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-180.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"589\" height=\"418\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-180.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4522\"  sizes=\"auto, (max-width: 589px) 100vw, 589px\" \/><\/div><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<p>\u6700\u540e\uff0c\u8bfb\u53d6\u5168\u90e8\u4e8b\u7269\u540e\uff0c\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-181.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-181.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4525\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p>\u901a\u5e38\u6765\u8bf4FP\u6811\u7684\u5927\u5c0f\u6bd4\u672a\u538b\u7f29\u7684\u6570\u636e\u5c0f\uff0c\u56e0\u4e3a\u8d2d\u7269\u7bee\u6570\u636e\u7684\u4e8b\u52a1\u5e38\u5e38\u5171\u4eab\u4e00\u4e9b\u5171\u540c\u9879<br>\u5728<strong>\u6700\u597d\u60c5\u51b5<\/strong>\u4e0b\uff0c\u6240\u6709\u7684\u4e8b\u52a1\u90fd\u5177\u6709\u76f8\u540c\u7684\u9879\u96c6\uff0cFP\u6811\u53ea\u5305\u542b\u4e00\u6761\u7ed3\u70b9\u8def\u5f84<br>\u5728<strong>\u6700\u574f\u60c5\u51b5<\/strong>\u4e0b\uff0c\u6240\u6709\u7684\u4e8b\u52a1\u90fd\u5177\u6709\u552f\u4e00\u9879\u96c6\uff0c\u7531\u4e8e\u4e8b\u52a1\u4e0d\u5305\u542b\u4efb\u4f55\u5171\u540c\u9879\uff0cFP\u6811\u7684\u5927\u5c0f\u5b9e\u9645\u4e0a\u4e0e\u539f\u6570\u636e\u7684\u5927\u5c0f\u4e00\u6837\uff0c\u7136\u800c\uff0c\u7531\u4e8e\u9700\u8981\u9644\u52a0\u7684\u7a7a\u95f4\u4e3a\u6bcf\u4e2a\u9879\u5b58\u653e\u7ed3\u70b9\u95f4\u7684\u6307\u9488\u548c\u8ba1\u6570\uff0cFP\u6811\u7684\u5b58\u50a8\u9700\u6c42\u589e\u5927<\/p>\n\n\n\n<p>\u5982\u679c\u98a0\u5012\u524d\u9762\u7684\u6392\u5e8f\uff0c\u6309\u7167\u652f\u6301\u5ea6\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\u3002\u90a3\u4e48\u53ef\u89c1FP\u6811\u660e\u663e\u5927\u4e86\u5f88\u591a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-182.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"157\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-182.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4526\"  sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/div><\/figure>\n\n\n\n<p>\u4f46\u662f\uff01\u652f\u6301\u5ea6\u8ba1\u6570\u9012\u51cf\u5e8f\u5e76\u975e\u603b\u662f\u5bfc\u81f4\u6700\u5c0f\u7684\u6811\uff0c\u6709\u53ef\u80fd\u4e5f\u4f1a\u53cd\u8fc7\u6765\uff0c<strong>\u603b\u4e4b\u5c31\u662f\u4e0d\u4e00\u5b9a<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-183.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"759\" height=\"194\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-183.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4527\"  sizes=\"auto, (max-width: 759px) 100vw, 759px\" \/><\/div><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">\u901a\u8fc7FP-Tree\u627e\u9891\u7e41\u9879\u96c6<\/h5>\n\n\n\n<p>\u9996\u5148\u5206\u522b\u627e\u5230\u4ee5ABCDE\u7ed3\u5c3e\u7684\u9891\u7e41\u9879\u96c6\uff08\u901a\u8fc7\u865a\u7ebf\u4ee3\u8868\u7684\u6307\u9488\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-184.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"482\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-184.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4528\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<ol class=\"wp-block-list\">\n<li>\u6536\u96c6\u5305\u542bE\u7ed3\u70b9\u7684\u6240\u6709\u8def\u5f84\uff0c\u8fd9\u4e9b\u521d\u59cb\u8def\u5f84\u79f0\u4e3a\u524d\u7f00\u8def\u5f84<strong>[a]<\/strong><\/li>\n\n\n\n<li>\u7531E\u7684\u524d\u7f00\u8def\u5f84\uff0c\u628a\u4e0e\u7ed3\u70b9E\u76f8\u5173\u8054\u7684\u652f\u6301\u5ea6\u8ba1\u6570\u76f8\u52a0\u5f97\u5230E\u7684\u652f\u6301\u5ea6\u8ba1\u6570\u4e3a3\uff0c\u5219{E}\u662f\u9891\u7e41\u9879\u96c6\uff08\u5047\u8bbe\u6700\u5c0f\u652f\u6301\u5ea6\u4e3a2\uff09<\/li>\n\n\n\n<li>\u7531\u4e8eE\u662f\u9891\u7e41\u7684\uff0c\u56e0\u6b64\u7b97\u6cd5\u5fc5\u987b\u89e3\u51b3\u53d1\u73b0\u4ee5DE\u3001CE\u3001BE\u3001AE\u7ed3\u5c3e\u7684\u9891\u7e41\u9879\u96c6\u7684\u5b50\u95ee\u9898\u3002\u5728\u89e3\u51b3\u8fd9\u4e9b\u5b50\u95ee\u9898\u4e4b\u524d\uff0c\u5fc5\u987b\u5148\u5c06\u524d\u7f00\u8def\u5f84\u8f6c\u5316\u4e3a\u6761\u4ef6FP\u6811<strong>[a->b]<\/strong><\/li>\n\n\n\n<li>FP\u589e\u957f\u4f7f\u7528E\u7684\u6761\u4ef6FP\u6811\u6765\u89e3\u51b3\u53d1\u73b0\u4ee5DE\u3001CE\u3001BE\u3001AE\u7ed3\u5c3e\u7684\u9891\u7e41\u9879\u96c6\u7684\u5b50\u95ee\u9898\n<ul class=\"wp-block-list\">\n<li>\u901a\u8fc7d\u7684\u8ba1\u6570\uff0c\u53ef\u4ee5\u5f97\u5230{d,e}\u662f\u9891\u7e41\u9879\u96c6\uff0c\u4e8e\u662f\u53ef\u4ee5\u8ba1\u7b97\u4e0b\u4e00\u4e2a\u5b50\u95ee\u9898\uff1a{a,d,e}\u548c{c,d,e}\u662f\u4e0d\u662f\u9891\u7e41\u9879\u96c6\u3002\u56e0\u4e3ade\u6761\u4ef6FP\u6811\u53ea\u5305\u542b\u4e00\u4e2a\u652f\u6301\u5ea6\u7b49\u4e8e\u6700\u5c0f\u652f\u6301\u5ea6\u7684\u9879A\uff0c\u6240\u4ee5\u6211\u4eec\u4e0d\u7528\u518d\u8003\u8651cde\u4e86<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-185.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"454\" height=\"480\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-185.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4529\"  sizes=\"auto, (max-width: 454px) 100vw, 454px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<p>\u5982\u4f55\u4ece\u524d\u7f00\u8def\u5f84\u8f6c\u5316\u4e3a\u6761\u4ef6FP-Tree\u5462\uff1f<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u9762\u7684 (a) -> (b) \u4e3a\u4f8b\uff0c<br>1\uff09\u9996\u5148\uff0c\u5fc5\u987b\u66f4\u65b0\u524d\u7f00\u8def\u5f84\u4e0a\u7684\u652f\u6301\u5ea6\u8ba1\u6570\uff0c\u56e0\u4e3a\u67d0\u4e9b\u8ba1\u6570\u5305\u62ec\u90a3\u4e9b\u4e0d\u542b\u9879E\u7684\u4e8b\u52a1\u3002\u56fe(a)\u4e2dB:2-C:2-E:1\u5305\u62ec\u4e0d\u542bE\u7684\u4e8b\u52a1{B,C}\uff0c\u5fc5\u987b\u5c06\u8be5\u524d\u7f00\u8def\u5f84\u4e0a\u7684\u8ba1\u6570\u8c03\u6574\u4e3a1\uff0c\u4ee5\u53cd\u6620\u5305\u542b{B,C,E} \u4e8b\u52a1\u5b9e\u9645\u4e2a\u6570 <br>2\uff09\u5220\u9664E\u7ed3\u70b9\uff0c\u4fee\u526a\u524d\u7f00\u8def\u5f84\u3002\u5220\u9664E\u7ed3\u70b9\u662f\u56e0\u4e3a\uff0c\u6cbf\u8fd9\u4e9b\u524d\u7f00\u8def\u5f84\u7684\u652f\u6301\u5ea6\u8ba1\u6570\u5df2\u7ecf\u66f4\u65b0\uff0c\u5df2\u53cd\u6620\u5305\u542bE\u7684\u90a3\u4e9b\u4e8b\u52a1\uff0c\u5e76\u4e14\u53d1\u73b0\u4ee5DE\u3001CE\u3001BE\u3001AE\u7ed3\u5c3e\u7684\u9891\u7e41\u9879\u96c6\u7684\u5b50\u95ee\u9898\u4e0d\u518d\u9700\u8981\u7ed3\u70b9E\u7684\u4fe1\u606f <br>3\uff09\u66f4\u65b0\u6cbf\u524d\u7f00\u8def\u5f84\u4e0a\u7684\u652f\u6301\u5ea6\u8ba1\u6570\u4e4b\u540e\uff0c\u67d0\u4e9b\u9879\u53ef\u80fd\u4e0d\u518d\u662f\u9891\u7e41\u7684\u3002\u4f8b\u5982\uff0c\u7ed3\u70b9B\u53ea\u51fa\u73b0 1\u6b21\uff0c\u5b83\u7684\u652f\u6301\u5ea6\u8ba1\u6570\u7b49\u4e8e1\uff0c\u5373\u53ea\u6709\u4e00\u4e2a\u4e8b\u52a1\u540c\u65f6\u5305\u542bB \u548cE\uff0c\u56e0\u800c\u6240\u6709\u4ee5BE\u7ed3\u5c3e\u7684\u9879\u96c6\u4e00\u5b9a\u90fd\u662f\u975e\u9891\u7e41\u7684\uff0c\u6240\u4ee5\u5728\u5176\u540e\u7684\u5206\u6790\u4e2d\u53ef\u4ee5\u5ffd\u7565B <br>4\uff09E\u7684\u6761\u4ef6FP\u6811\u5982\u56feb\uff0c\u8be5\u6811\u770b\u4e0a\u53bb\u4e0e\u539f\u6765\u7684\u524d\u7f00\u8def\u5f84\u4e0d\u540c\uff0c\u56e0\u4e3a\u9891\u5ea6\u8ba1\u6570\u5df2\u7ecf\u66f4\u65b0\uff0c\u5e76\u4e14\u7ed3\u70b9B\u548cE\u5df2\u88ab\u5220\u9664<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>ECLAT \u7b97\u6cd5<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u539f\u7406<\/strong>\uff1a\u5c06\u6c34\u5e73\u6570\u636e\u8f6c\u6362\u4e3a\u5782\u76f4\u6570\u636e\u683c\u5f0f\uff0c\u9879\u96c6\u5bf9\u5e94 TID \u96c6\u5408\uff0c\u901a\u8fc7\u4ea4\u96c6\u8ba1\u7b97\u652f\u6301\u5ea6\u3002<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4<\/strong>\uff1a\u8f6c\u6362\u6570\u636e\u4e3a\u5782\u76f4\u683c\u5f0f\uff0c\u5bf9 k &#8211; \u9879\u96c6\u8ba1\u7b97 TID \u96c6\u4ea4\u96c6\uff0c\u5f97\u5230 k+1 &#8211; \u9879\u96c6\u652f\u6301\u5ea6\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4f18\u70b9\uff1a\u5728\u4ea7\u751f\u5019\u9009\uff08k + 1\uff09\u9879\u96c6\u65f6\u5229\u7528\u5148\u9a8c\u6027\u8d28\uff1b\u4e0d\u9700\u8981\u626b\u63cf\u6570\u636e\u5e93\u6765\u786e\u5b9a\uff08k + 1\uff09\u9879 \u96c6\u7684\u652f\u6301\u5ea6\uff08k+1\uff09\uff0c\u56e0\u4e3a\u6bcf\u4e2ak\u9879\u96c6\u7684\u96c6\u643a\u5e26\u4e86\u8ba1 \u7b97\u652f\u6301\u5ea6\u7684\u5b8c\u6574\u4fe1\u606f<br>\u7f3a\u70b9\uff1aTID\u96c6\u53ef\u80fd\u5f88\u957f\uff0c\u9700\u8981\u5927\u91cf\u5185\u5b58\u7a7a\u95f4\uff0c\u957f\u96c6\u5408\u7684\u4ea4 \u8fd0\u7b97\u8fd8\u9700\u8981\u5927\u91cf\u7684\u8ba1\u7b97\u65f6\u95f4<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5173\u8054\u89c4\u5219\u7684\u8bc4\u4f30<\/h3>\n\n\n\n<p><strong>\u652f\u6301\u5ea6 &#8211; \u7f6e\u4fe1\u5ea6\u6846\u67b6\u5c40\u9650\u6027<\/strong>\uff1a\u5f3a\u89c4\u5219\u53ef\u80fd\u8bef\u5bfc\uff0c\u5982\u8d2d\u4e70\u8ba1\u7b97\u673a\u6e38\u620f\u2192\u8d2d\u4e70\u5f55\u50cf\uff0c\u652f\u6301\u5ea6 40%\uff0c\u7f6e\u4fe1\u5ea6 66%\uff0c\u4f46\u5b9e\u9645\u8d2d\u4e70\u5f55\u50cf\u6982\u7387 75% \u66f4\u9ad8\uff0c\u4e24\u8005\u8d1f\u76f8\u5173\u3002<\/p>\n\n\n\n<p>\u56e0\u6b64\u9700\u8981\u5f15\u5165\u65b0\u7684\u76f8\u5173\u6027\u5ea6\u91cf\u6307\u6807\u6269\u5145<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u63d0\u5347\u5ea6lift<\/h4>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-186.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"75\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-186.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4530\"\/><\/div><\/figure>\n\n\n\n<p>>1 \u6b63\u76f8\u5173\uff0c=1 \u72ec\u7acb\uff0c&lt;1 \u8d1f\u76f8\u5173\u3002<\/p>\n<\/div>\n\n\n\n<p>\u8003\u8651\u8fd9\u79cd\u60c5\u51b5\uff0c<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><\/td><td>\u6253\u7bee\u7403<\/td><td>\u4e0d\u6253\u7bee\u7403<\/td><td>\u603b\u8ba1<\/td><\/tr><tr><td>\u5403\u8c37\u7269<\/td><td>2000<\/td><td>1750<\/td><td>3750<\/td><\/tr><tr><td>\u4e0d\u5403\u8c37\u7269<\/td><td>1000<\/td><td>250<\/td><td>1250<\/td><\/tr><tr><td>\u603b\u8ba1<\/td><td>3000<\/td><td>2000<\/td><td>5000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u63d0\u5347\u5ea6\u540e\u5f97\u5230\uff0cP(B)\u4e3a\u6253\u7bee\u7403\uff0cP(C\uff09\u4e3a\u5403\u8c37\u7269\uff0c\u90a3\u4e48\u5f97\u5230\u6253\u7bee\u7403\u4e0d\u5403\u8c37\u7269\u66f4\u52a0\u53ef\u4fe1\u3002\u5c3d\u7ba1\u4ed6\u7684\u652f\u6301\u5ea6\/\u7f6e\u4fe1\u5ea6\u66f4\u4f4e<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-188.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"364\" height=\"115\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-188.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4532\"  sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u5361\u65b9\u68c0\u6d4b<\/h4>\n\n\n\n<p>\u5982\u4f55\u8ba1\u7b97\u5462\uff1f\u5148\u6839\u636esum\u5f97\u5230\u4e24\u7c7b\u4eba\u7fa4\u6bd4\u4f8b\uff0c\u518d\u5f80\u56de\u586b\u4e0a\u6bcf\u4e00\u7c7b\u4eba\u7684\u9884\u671f\u4e2a\u6570<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><\/td><td>\u6253\u7bee\u7403<\/td><td>\u4e0d\u6253\u7bee\u7403<\/td><td>\u603b\u8ba1<\/td><\/tr><tr><td>\u5403\u8c37\u7269<\/td><td>2000(2250)<\/td><td>1750(1500)<\/td><td>3750<\/td><\/tr><tr><td>\u4e0d\u5403\u8c37\u7269<\/td><td>1000(750)<\/td><td>250(500)<\/td><td>1250<\/td><\/tr><tr><td>\u603b\u8ba1<\/td><td>3000<\/td><td>2000<\/td><td>5000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u90a3\u4e48\uff0c\u901a\u8fc7\u5361\u65b9\u68c0\u6d4b\uff0cO\u4e3a\u89c2\u5bdf\u503c\uff0cE\u4e3a\u7406\u8bba\u503c<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-189.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"229\" height=\"74\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-189.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4533\"\/><\/div><\/figure>\n<\/div>\n\n\n\n<p>\u03a7<sup>2<\/sup>=(2250-2000)<sup>2<\/sup>\/2250+(1750-1500)<sup>2<\/sup>\/1500+(1000-750)<sup>2<\/sup>\/750+(250-500)<sup>2<\/sup>\/500=277<br>\u901a\u8fc7\u67e5\u8868\uff0c\u5728\u663e\u8457\u6c34\u5e73\u00a0<em>\u03b1 <\/em>= 0.01\u6c34\u5e73\u4e0b\uff0c\u8ba1\u7b97\u5f97\u5230\u7684\u03a7<sup>2<\/sup>=277 >>10.828\uff0c\u8bf4\u660e\u6253\u7bee\u7403\u4e0e\u662f\u5426\u5403\u8c37\u7269\u4e4b\u95f4\u5b58\u5728\u663e\u8457\u5173\u7cfb\uff08\u54ea\u79cd\u5173\u7cfb\u5148\u522b\u7ba1\uff0c\u53cd\u6b63\u6709\u5173\u7cfb\uff0c\u4e0d\u7136\u7edf\u8ba1\u91cf\u5e94\u8be5\u6ca1\u6709\u5173\u8054\uff09\u3002<\/p>\n\n\n\n<p><strong>\u5176\u4ed6\u5ea6\u91cf<\/strong>\uff1aYule&#8217;s Q\u3001Mutual Information\u3001J-Measure \u7b49\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u603b\u7ed3\u7b97\u6cd5\u5bf9\u6bd4<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7b97\u6cd5<\/th><th>\u6838\u5fc3\u7279\u70b9<\/th><th>\u4f18\u52bf<\/th><th>\u52a3\u52bf<\/th><\/tr><\/thead><tbody><tr><td>Apriori<\/td><td>\u5019\u9009\u751f\u6210 &#8211; \u6d4b\u8bd5\uff0c\u5148\u9a8c\u526a\u679d<\/td><td>\u539f\u7406\u7b80\u5355\uff0c\u6613\u5b9e\u73b0<\/td><td>\u591a\u6b21\u626b\u63cf\uff0c\u5019\u9009\u96c6\u591a<\/td><\/tr><tr><td>FP-Growth<\/td><td>\u6784\u5efa FP \u6811\uff0c\u9012\u5f52\u6316\u6398<\/td><td>\u5c11\u626b\u63cf\uff0c\u65e0\u5019\u9009\u96c6<\/td><td>\u6811\u6784\u5efa\u590d\u6742\uff0c\u5185\u5b58\u9700\u6c42<\/td><\/tr><tr><td>ECLAT<\/td><td>\u5782\u76f4\u6570\u636e\uff0cTID \u96c6\u4ea4\u96c6<\/td><td>\u652f\u6301\u5ea6\u8ba1\u7b97\u9ad8\u6548<\/td><td>TID \u96c6\u957f\uff0c\u4ea4\u8fd0\u7b97\u8017\u65f6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u5206\u7c7b<\/h2>\n\n\n\n<p>\u5b9a\u4e49\uff1a\u7ed9\u5b9a\u8bad\u7ec3\u96c6\uff0c\u6bcf\u4e2a\u8bb0\u5f55\u4e3a (x,y) \u5143\u7ec4\uff0cx \u662f\u5c5e\u6027\u96c6\uff0cy \u662f\u7c7b\u6807\u53f7\uff0c\u4efb\u52a1\u662f\u5b66\u4e60\u6a21\u578b\u5c06 x \u6620\u5c04\u5230\u9884\u5b9a\u4e49 y\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u793a\u4f8b\uff1a\u90ae\u4ef6\u5206\u7c7b\uff08\u8bc6\u522b\u5783\u573e\u90ae\u7bb1\uff09\uff0c\u80bf\u7624\u8bc6\u522b\uff08\u826f\u6027\u6076\u6027\uff09<\/p>\n\n\n\n<p>\u901a\u7528\u6846\u67b6\uff1a\u8bad\u7ec3\u9636\u6bb5\uff08\u8bad\u7ec3\u6a21\u578b\uff09->\u6d4b\u8bd5\u9636\u6bb5\uff08\u6d4b\u8bd5\u6a21\u578b\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u51b3\u7b56\u6811\u5206\u7c7b<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-190.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"643\" height=\"397\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-190.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4538\"  sizes=\"auto, (max-width: 643px) 100vw, 643px\" \/><\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u5355\u8282\u70b9\u7684\u4e0d\u7eaf\u6027\u5ea6\u91cf<\/h4>\n\n\n\n<p>\u5982\u4f55\u6784\u5efa\u5462\uff1f\u6309\u7167\u4e0b\u9762\u7684\u6765\uff0c\u4f7f\u7528HUNT\u7b97\u6cd5<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5c5e\u6027\u6d4b\u8bd5\u6761\u4ef6\u8868\u793a\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6807\u79f0\u5c5e\u6027\uff1a\u591a\u8def\u5212\u5206\u6216\u4e8c\u5143\u5212\u5206\u3002<\/li>\n\n\n\n<li>\u5e8f\u6570\u5c5e\u6027\uff1a\u4fdd\u6301\u987a\u5e8f\u7684\u4e8c\u5143\u5212\u5206\u3002<\/li>\n\n\n\n<li>\u8fde\u7eed\u5c5e\u6027\uff1a\u4e8c\u5143\u5212\u5206\u6216\u79bb\u6563\u5316\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u5206\u88c2\u5c5e\u6027\u9009\u62e9\uff1a\u57fa\u4e8e\u4e0d\u7eaf\u6027\u5ea6\u91cf\uff0c\u5982\u57fa\u5c3c\u6307\u6570\u3001\u4fe1\u606f\u71b5\u3001\u5206\u7c7b\u8bef\u5dee\u3002<\/li>\n\n\n\n<li>\u505c\u6b62\u5212\u5206\u65f6\u673a\uff1a\u8282\u70b9\u6837\u672c\u540c\u7c7b\u522b\u6216\u5c5e\u6027\u7528\u5c3d\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4e0d\u7eaf\u6027\u5ea6\u91cf\u6709\u4e09\u4e2a\u6307\u6807\uff0c\u6211\u4eec\u9009\u62e9\u65f6\u5019\u7eaf\u51c0(pure)\u5ea6\u5927\u7684\uff0c\u8fd9\u6837\u66f4\u597d\u7684\u533a\u5206\u5f00\u4e86\u6570\u636e\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u57fa\u5c3c\u6307\u6570<\/strong>\uff1aGini(t)=1-\u2211 p(j|t)<sup>2<\/sup>\uff0c\u503c\u8d8a\u5c0f\u8282\u70b9\u8d8a\u7eaf\u3002p(j|t)\u4e3a\u8282\u70b9t\u4e2d\u6837\u672c\u6d4b\u8bd5\u8f93\u51fa\u53d6\u7c7b\u522bj\u7684\u6982\u7387<\/li>\n\n\n\n<li><strong>\u4fe1\u606f\u71b5<\/strong>\uff1aH(S) = Entropy(S)=-\u2211 p(j|t) log<sub>2<\/sub>(p(j|t))\uff0c\u71b5\u8d8a\u5c0f\u5206\u5e03\u8d8a\u7eaf\u3002<\/li>\n\n\n\n<li><strong>\u5206\u7c7b\u8bef\u5dee<\/strong>\uff1aCE(t) = Error(t)=1- max p(i|t)\uff0cCE\u8d8a\u5c0f\uff0c\u8bf4\u660e\u6837\u672c\u8d8a\u96c6\u4e2d\u5728\u67d0\u4e00\u4fa7\uff0c\u5219\u8d8a\u7eaf<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-191.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"539\" height=\"406\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-191.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4541\"  sizes=\"auto, (max-width: 539px) 100vw, 539px\" \/><\/div><\/figure>\n\n\n\n<p>\u53ef\u4ee5\u770b\u5230\u4e09\u4e2a\u4e0d\u7eaf\u5ea6\u90fd\u662f\u4e00\u81f4\u7684\uff0c\u5355\u8c03\u6027\u4e00\u6837\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5b50\u8282\u70b9\u7684\u96c6\u5408\u4e0d\u7eaf\u6027<\/h4>\n\n\n\n<p>\u5bf9\u5b50\u7ed3\u70b9\u7684\u4e0d\u7eaf\u6027\u5ea6\u91cf\u8fdb\u884c\u52a0\u6743\u6c42\u548c\u5f97\u5230<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-192.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"862\" height=\"334\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-192.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4542\"  sizes=\"auto, (max-width: 862px) 100vw, 862px\" \/><\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u4fe1\u606f\u589e\u76ca<\/strong><\/h4>\n\n\n\n<p>\u7528\u5c5e\u6027A\u5212\u5206\u6837\u672c\u96c6S\uff0c\u5212\u5206\u524d\u6837\u672c\u6570\u636e\u96c6\u7684\u4e0d\u7eaf\u7a0b\u5ea6\uff08\u71b5\uff09\u548c\u5212\u5206\u540e\u6837\u672c\u96c6\u7684\u4e0d\u7eaf\u7a0b\u5ea6\uff08\u71b5\uff09\u7684\u5dee\u503c<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-193.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"422\" height=\"45\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-193.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4543\"  sizes=\"auto, (max-width: 422px) 100vw, 422px\" \/><\/div><\/figure>\n\n\n\n<p>\u6309\u5c5e\u6027A\u5212\u5206S\u540e\u7684\u6837\u672c\u5b50\u96c6S<sub>1<\/sub>,S<sub>2<\/sub>,\u2026,S<sub>k<\/sub>\u7684\u71b5\u5b9a\u4e49\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-194.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"379\" height=\"83\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-194.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4544\"  sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/div><\/figure>\n\n\n\n<p>\u4fe1\u606f\u589e\u76ca\u8d8a\u5927\u8d8a\u7eaf\u7cb9\uff0c\u8d8a\u6709\u5229\u4e8e\u5206\u7c7b\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u589e\u76ca\u7387<\/h4>\n\n\n\n<p>\u71b5\u548c\u57fa\u5c3c\u6307\u6570\u7b49\u4e0d\u7eaf\u6027\u5ea6\u91cf\u5b58\u5728\u4e00\u4e2a\u6f5c\u5728\u7684\u5c40\u9650\uff0c\u5373\u66f4\u5bb9\u6613\u9009\u62e9\u5177\u6709\u5927\u91cf\u4e0d\u540c\u503c\u7684\u5b9a\u6027\u5c5e\u6027\uff0c\u5bfc\u81f4\u66f4\u7cbe\u7ec6\u7684\u5212\u5206\uff08\u6bd4\u5982\u8bf4\u6211\u8fd9\u91cc\u5c5e\u6027\u5212\u5206\u6309\u7167&lt;1&lt;9 else\uff0c\u5176\u4ed6\u5730\u65b9\u5212\u5206&lt;2 &lt;5 &lt;6 &lt; 7 else\uff0c\u8fd9\u6837\u5f88\u5bb9\u6613\u5c40\u90e8\u8fc7\u62df\u5408\u4e86\uff09\u3002<br>\u89e3\u51b3\u8981\u4e48\u662f\u4ec5\u751f\u6210\u4e8c\u5143\u51b3\u7b56\u6811\uff08\u907f\u514d\u4f7f\u7528\u4e0d\u540c\u6570\u76ee\u5212\u5206\uff09\uff0c\u8981\u4e48\u5c31\u662f\u4fee\u6539\u5212\u5206\u6807\u51c6\u4ee5\u8003\u8651\u5c5e\u6027\u751f\u6210\u7684\u5212\u5206\u6570\u91cf\uff0c\u5373\u4f7f\u7528\u79f0\u4e3a<strong>\u589e\u76ca\u7387(gain ratio)<\/strong>\u7684\u5ea6\u91cf\u6765\u8865\u507f\u4ea7\u751f\u5927\u91cf\u5b50\u7ed3\u70b9\u7684\u5c5e\u6027<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-195-1024x136.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"136\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-195-1024x136.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4545\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Gain(A)\u00a0\u662f\u5c5e\u6027 A \u7684\u4fe1\u606f\u589e\u76ca\uff0c\u5373\u5212\u5206\u524d\u540e\u7684\u71b5\u5dee\u3002<\/li>\n\n\n\n<li>SplitInfo(A)\u00a0\u8861\u91cf\u5c5e\u6027 A \u7684\u5206\u88c2\u80fd\u529b,k\u662f\u5c5e\u6027 A \u7684\u53d6\u503c\u4e2a\u6570,N(v<sub>i<\/sub>)\u662f\u5c5e\u6027A\u53d6\u503c\u4e3a\u7b2ci\u7c7b\u7684\u6837\u672c\u5b50\u96c6\uff0cN\u662f\u603b\u6837\u672c\u6570<\/li>\n<\/ul>\n\n\n\n<p>\u5bf9\u4e8e\u6bcf\u4e2a\u5019\u9009\u5c5e\u6027\u90fd\u53ef\u4ee5\u8ba1\u7b97Gain(A)\uff0c\u53d6\u6700\u5927\u7684\u8ba1\u7b97\u589e\u76ca\u7387\u662f\u5426\u4e5f\u662f\u6700\u5927\uff0c\u6700\u540e\u53d6\u589e\u76ca\u7387\u6700\u5927\u7684\u4f5c\u4e3a\u771f\u6b63\u7684\u5206\u88c2\u5c5e\u6027\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u7ecf\u5178\u7b97\u6cd5<\/strong><\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7b97\u6cd5<\/th><th>\u5c5e\u6027\u9009\u62e9\u5ea6\u91cf<\/th><th>\u7279\u70b9<\/th><\/tr><\/thead><tbody><tr><td>CART<\/td><td>\u57fa\u5c3c\u6307\u6570<\/td><td>\u751f\u6210\u4e8c\u53c9\u6811\uff0c\u5904\u7406\u8fde\u7eed\u548c\u6807\u79f0\u5c5e\u6027<\/td><\/tr><tr><td>ID3<\/td><td>\u4fe1\u606f\u589e\u76ca<\/td><td>\u5904\u7406\u79bb\u6563\u5c5e\u6027\uff0c\u6613\u504f\u5411\u591a\u503c\u5c5e\u6027<\/td><\/tr><tr><td>C4.5<\/td><td>\u4fe1\u606f\u589e\u76ca\u7387<\/td><td>\u5904\u7406\u8fde\u7eed\u5c5e\u6027\u548c\u7f3a\u5931\u503c\uff0c\u751f\u6210\u89c4\u5219\uff08\u7b80\u5355\u6613\u89e3\u91ca\u51c6\u786e\u7387\u9ad8\uff0c\u7f3a\u70b9\u591a\u6b21\u626b\u63cf\u6392\u5e8f\u4f4e\u6548\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u505a\u9898<\/h4>\n\n\n\n<p>\u505a\u9898\u53c2\u8003\u524d\u9762<strong>\u6570\u636e\u53d8\u6362\u4e0e\u6570\u636e\u79bb\u6563\u5316<\/strong>\u7684<strong>\u51b3\u7b56\u6811<\/strong>\uff0c\u5957\u7528\u4e0d\u540c\u7684\u4e0d\u7eaf\u5ea6\u516c\u5f0f\u5373\u53ef<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6a21\u578b\u8fc7\u62df\u5408\u4e0e\u9009\u62e9<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u8fc7\u62df\u5408<\/strong>\uff1a\u6a21\u578b\u590d\u6742\u6355\u6349\u8bad\u7ec3\u96c6\u566a\u58f0\uff0c\u6d4b\u8bd5\u9519\u8bef\u7387\u4e0a\u5347\uff0c\u5982\u51b3\u7b56\u6811\u89c4\u6a21\u8fc7\u5927\u65f6\u8bad\u7ec3\u9519\u8bef\u7387\u4e3a 0 \u4f46\u6d4b\u8bd5\u9519\u8bef\u7387\u4e0a\u5347\u3002<\/li>\n\n\n\n<li><strong>\u6a21\u578b\u9009\u62e9<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u9a8c\u8bc1\u96c6\u5e94\u7528<\/strong>\uff1a\u5212\u5206\u8bad\u7ec3\u96c6\u4e3a\u8bad\u7ec3\u548c\u9a8c\u8bc1\u5b50\u96c6\uff08\u672a\u88ab\u8bad\u7ec3\uff09\uff0c\u9009\u9a8c\u8bc1\u9519\u8bef\u7387\u6700\u4f4e\u6a21\u578b\u3002<\/li>\n\n\n\n<li><strong>\u590d\u6742\u5ea6\u5408\u5e76<\/strong>\uff1a\u6cdb\u5316\u9519\u8bef\u7387 = \u8bad\u7ec3\u9519\u8bef\u7387 +\u03b1\u00d7 \u590d\u6742\u5ea6\uff0c\u03b1 \u4e3a\u8d85\u53c2\u6570\u3002\u8ba9\u6a21\u578b<strong>\u4e0d\u4ec5\u8981\u8003\u8651\u8bad\u7ec3\u9519\u8bef\u7387\uff0c\u8fd8\u8981\u8003\u8651\u6a21\u578b\u7684\u590d\u6742\u5ea6<\/strong><\/li>\n\n\n\n<li><strong>\u7edf\u8ba1\u8303\u56f4\u4f30\u8ba1<\/strong>\uff1aPPT\u4e0d\u89c1\u4e86<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u6a21\u578b\u8bc4\u4f30<\/h3>\n\n\n\n<p>\u8ba8\u8bba\u4f30\u8ba1\u6a21\u578b\u6cdb\u5316\u6027\u80fd\u7684\u65b9\u6cd5\uff0c\u5373\u8dd1\u4e00\u4e0b\u6ca1\u8bad\u7ec3\u7684\u6d4b\u8bd5\u96c6\u6548\u679c<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u8bc4\u4f30\u6307\u6807<\/strong><\/h4>\n\n\n\n<h5 class=\"wp-block-heading\"><strong>\u6df7\u6dc6\u77e9\u9635\uff08Confusion Matrix\uff09<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u4e8c\u5143\u5206\u7c7b<\/strong>\uff1a\u76f4\u89c2\u5c55\u793a\u4e86\u8bc4\u4f30\u51c6\u786e\u6027<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u771f\u5b9e\u7c7b\u522b \\ \u9884\u6d4b\u7c7b\u522b<\/th><th>\u6b63\u7c7b\uff08Yes\uff09<\/th><th>\u8d1f\u7c7b\uff08No\uff09<\/th><\/tr><\/thead><tbody><tr><td>\u6b63\u7c7b\uff08Yes\uff09<\/td><td>\u771f\u9633\u6027\uff08TP\uff09<\/td><td>\u5047\u9634\u6027\uff08FN\uff09<\/td><\/tr><tr><td>\u8d1f\u7c7b\uff08No\uff09<\/td><td>\u5047\u9633\u6027\uff08FP\uff09<\/td><td>\u771f\u9634\u6027\uff08TN\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u51c6\u786e\u7387\uff08Accuracy\uff09<\/strong>\uff1a\u6b63\u786e\u5206\u7c7b\u7684\u6837\u672c\u5360\u6bd4\uff0cAccuracy = (TP+TN)\/(TP+TN+FP+FN)\u3002<\/li>\n\n\n\n<li><strong>\u9519\u8bef\u7387\uff08Error Rate\uff09<\/strong>\uff1aError Rate = (FP+FN)\/(TP+TN+FP+FN) = 1 &#8211; Accuracy\u3002<\/li>\n\n\n\n<li><strong>\u7075\u654f\u5ea6\uff08Sensitivity\uff09<\/strong>\uff1a\u6b63\u7c7b\u6837\u672c\u88ab\u6b63\u786e\u8bc6\u522b\u7684\u6bd4\u4f8b\uff0cSensitivity = TP\/(TP+FN)\uff08\u53c8\u79f0\u53ec\u56de\u7387\uff0cRecall\uff09\u3002<\/li>\n\n\n\n<li><strong>\u7279\u5f02\u6027\uff08Specificity\uff09<\/strong>\uff1a\u8d1f\u7c7b\u6837\u672c\u88ab\u6b63\u786e\u8bc6\u522b\u7684\u6bd4\u4f8b\uff0cSpecificity = TN\/(TN+FP)\u3002<\/li>\n\n\n\n<li><strong>\u7cbe\u5ea6\uff08Precision\uff09<\/strong>\uff1a\u9884\u6d4b\u4e3a\u6b63\u7c7b\u7684\u6837\u672c\u4e2d\u5b9e\u9645\u4e3a\u6b63\u7c7b\u7684\u6bd4\u4f8b\uff0cPrecision = TP\/(TP+FP)\u3002<\/li>\n\n\n\n<li><strong>F1 \u5206\u6570<\/strong>\uff1a\u7cbe\u5ea6\u548c\u53ec\u56de\u7387\u7684\u8c03\u548c\u5e73\u5747,F1=(2 * Precision * Recall)\/(Precision + Recall\uff09<\/li>\n\n\n\n<li><strong>F<sub>\u00df<\/sub>\u5206\u6570<\/strong>\uff1a\u7cbe\u5ea6\u548c\u53ec\u56de\u7387\u7684\u52a0\u6743\u5ea6\u91cf,F<sub>\u00df<\/sub>=((1+ \u00df<sup>2<\/sup>)* Precision * Recall)\/( \u00df<sup>2<\/sup> * Precision + Recall\uff09<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>ROC \u66f2\u7ebf\u4e0e AUC<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>ROC \u66f2\u7ebf<\/strong>\uff1a\u6a2a\u8f74\u4e3a\u5047\u9633\u6027\u7387FPR\uff0c\u7eb5\u8f74\u4e3a\u771f\u9633\u6027\u7387TPR\uff0c\u66f2\u7ebf\u8d8a\u9760\u8fd1\u5de6\u4e0a\u89d2\uff0c\u6a21\u578b\u6027\u80fd\u8d8a\u597d\u3002<\/li>\n\n\n\n<li><strong>AUC\uff08\u66f2\u7ebf\u4e0b\u9762\u79ef\uff09<\/strong>\uff1aAUC=1 \u8868\u793a\u5b8c\u7f8e\u5206\u7c7b\u5668\uff0cAUC=0.5 \u8868\u793a\u968f\u673a\u731c\u6d4b\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u8bc4\u4f30\u65b9\u6cd5<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u4fdd\u6301\u65b9\u6cd5<\/strong>\uff1a\u968f\u673a\u5212\u5206\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\uff0c\u5982 2\/3 \u8bad\u7ec3\u30011\/3 \u6d4b\u8bd5<\/li>\n\n\n\n<li><strong>\u4ea4\u53c9\u9a8c\u8bc1<\/strong>\uff1ak \u91cd\u4ea4\u53c9\u9a8c\u8bc1\uff0c\u5982 10 \u6298\u4ea4\u53c9\u9a8c\u8bc1\uff0c\u6bcf\u4e2a\u5b9e\u4f8b\u6d4b\u8bd5 1 \u6b21\u3001\u8bad\u7ec3 k-1 \u6b21\u3002<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u8d85\u53c2\u6570\u4f7f\u7528<\/h4>\n\n\n\n<p>\u6cdb\u5316\u9519\u8bef\u7387 = \u8bad\u7ec3\u9519\u8bef\u7387 +\u03b1\u00d7 \u590d\u6742\u5ea6\uff0c\u03b1 \u4e3a\u8d85\u53c2\u6570\u3002\u8ba9\u6a21\u578b<strong>\u4e0d\u4ec5\u8981\u8003\u8651\u8bad\u7ec3\u9519\u8bef\u7387\uff0c\u8fd8\u8981\u8003\u8651\u6a21\u578b\u7684\u590d\u6742\u5ea6<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u6ce8\u610f\u4e8b\u9879<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u8bad\u7ec3\u96c6\u4e0e\u6d4b\u8bd5\u96c6\u91cd\u53e0<\/strong>\uff1a\u82e5\u6d4b\u8bd5\u96c6\u5305\u542b\u8bad\u7ec3\u6570\u636e\uff0c\u4f1a\u9ad8\u4f30\u6a21\u578b\u6027\u80fd\uff0c\u9700\u786e\u4fdd\u6570\u636e\u5b8c\u5168\u72ec\u7acb\u3002<\/li>\n\n\n\n<li><strong>\u8bef\u7528\u9a8c\u8bc1\u9519\u8bef\u7387<\/strong>\uff1a\u9a8c\u8bc1\u96c6\u7528\u4e8e\u6a21\u578b\u9009\u62e9\u540e\uff0c\u5176\u9519\u8bef\u7387\u4f1a\u4f4e\u4f30\u771f\u5b9e\u6cdb\u5316\u8bef\u5dee\uff0c\u9700\u7528\u72ec\u7acb\u6d4b\u8bd5\u96c6\u6700\u7ec8\u8bc4\u4f30\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u6a21\u578b\u6bd4\u8f83<\/h4>\n\n\n\n<p>MA\u572830\u5927\u5c0f\u6d4b\u8bd5\u96c6\u4e0a\u7684\u51c6\u786e\u7387\u4e3a85%\uff0cMB\u57285000\u5927\u5c0f\u6d4b\u8bd5\u96c6\u4e0a\u51c6\u786e\u7387\u4e3a75%\uff0cMA\u5c31\u662f\u597d\u6a21\u578b\u5417\uff1f<\/p>\n\n\n\n<p>\u81ea\u7136\u4e0d\u4e00\u5b9a\uff0c\u4e00\u662f\u6d4b\u8bd5\u96c6\u5927\u5c0f\u4e0d\u4e00\u81f4\uff0c\u6d89\u53ca\u5230\u7f6e\u4fe1\u533a\u95f4\u7684\u4f30\u8ba1\uff1b\u4e8c\u662f\u56e0\u4e3a\u662f\u4e0d\u540c\u7684\u6d4b\u8bd5\u96c6\uff0c\u6d89\u53ca\u5230\u89c2\u6d4b\u504f\u5dee\u7edf\u8ba1\u663e\u8457\u6027\u7684\u6d4b\u8bd5<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u63d0\u9ad8\u5206\u7c7b\u51c6\u786e\u7387\u7684\u6280\u672f<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u88c5\u888b\uff08Bagging\uff09<\/strong>\uff1a\u6709\u653e\u56de\u62bd\u6837\u751f\u6210\u591a\u4e2a\u8bad\u7ec3\u96c6\uff0c\u8bad\u7ec3\u591a\u4e2a\u6a21\u578b\uff0c\u6295\u7968\u51b3\u5b9a\u7ed3\u679c\n<ul class=\"wp-block-list\">\n<li>\u7b97\u6cd5\uff1a\u751f\u6210 k \u4e2a bootstrap \u6837\u672c\uff0c\u6bcf\u4e2a\u90fd\u5206\u522b\u8bad\u7ec3\u6a21\u578b\uff0c\u591a\u6570\u8868\u51b3\u5206\u7c7b\uff08\u5728\u56de\u5f52\u4efb\u52a1\u5e73\u5747\u503c\u9884\u6d4b\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u63d0\u5347\uff08Boosting\uff09<\/strong>\uff1a\u8fed\u4ee3\u8c03\u6574\u6837\u672c\u6743\u91cd\uff0c\u8bef\u5206\u7c7b\u6837\u672c\u6743\u91cd\u589e\u52a0\uff0c\u6700\u7ec8\u52a0\u6743\u6295\u7968\u3002<br>Adaboost\uff1a\u521d\u59cb\u6743\u91cd\u76f8\u7b49\uff0c\u6839\u636e\u9519\u8bef\u7387\u8ba1\u7b97\u6a21\u578b\u6743\u91cdlog[(1-error)\/error]\u3002<\/li>\n\n\n\n<li><strong>\u968f\u673a\u68ee\u6797<\/strong>\uff1a\u6784\u5efa\u591a\u68f5\u51b3\u7b56\u6811\uff0c\u6bcf\u68f5\u6811\u968f\u673a\u9009\u62e9\u5c5e\u6027\u5b50\u96c6\uff0c\u5206\u7c7b\u65f6\uff0c\u6bcf\u68f5\u6811\u90fd\u6295\u7968\u5e76\u8fd4\u56de\u5f97\u7968\u6700\u591a\u7684\u7c7b\uff0c\u76f8\u6bd4Adaboost \u5bf9\u9519\u8bef\u548c\u79bb\u7fa4\u70b9\u9c81\u68d2\u6027\u66f4\u597d\u3002\n<ul class=\"wp-block-list\">\n<li>\u53ef\u4ee5\u9009\u62e9 <strong>\u88c5\u888b <\/strong>\u4e0e <strong>\u968f\u673a\u5c5e\u6027\u9009\u62e9<\/strong>\u7ec4\u5408<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u57fa\u4e8e\u89c4\u5219\u7684\u5206\u7c7b<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u89c4\u5219\u8868\u793a\u4e0e\u8bc4\u4f30<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u91c7\u7528 IF-THEN \u89c4\u5219\uff0c\u5982<br><code>R1:IF(age=youth)AND(student=yes)THEN(buys_computer=yes)<\/code>\u3002<\/li>\n\n\n\n<li>\u8bc4\u4f30\u6307\u6807\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8986\u76d6\u7387<code>coverage(R)=n<sub>covers<\/sub>\/|D|<\/code>\uff0c\u8868\u793a\u89c4\u5219\u8986\u76d6\uff08\u6ee1\u8db3\u524d\u63d0\uff09\u7684\u5143\u7ec4\u6570\u5360\u8bad\u7ec3\u96c6\u6bd4\u4f8b\u3002<\/li>\n\n\n\n<li>\u51c6\u786e\u5ea6<code>accuracy(R)=n<sub>correct<\/sub>\/n<sub>covers<\/sub><\/code>\uff0c\u8868\u793a\u89c4\u5219\u6b63\u786e\u5206\u7c7b\u7684\u5143\u7ec4\u5360\u8986\u76d6\u5143\u7ec4\u7684\u6bd4\u4f8b\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u89c4\u5219\u51b2\u7a81\u4e0e\u9ed8\u8ba4\u5904\u7406<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u51b2\u7a81\u89e3\u51b3\u7b56\u7565\uff1a\uff08\u4e0d\u540c\u89c4\u5219\u4e4b\u95f4\u80af\u5462\u4e2a\u4f1a\u6709\u51b2\u7a81\uff0c\u89e3\u51b3\u65b9\u6cd5\uff09\n<ul class=\"wp-block-list\">\n<li>\u89c4\u6a21\u5e8f\uff1a\u4f18\u5148\u9009\u62e9\u5c5e\u6027\u6d4b\u8bd5\u6700\u591a\u7684\u89c4\u5219\u3002<\/li>\n\n\n\n<li>\u57fa\u4e8e\u7c7b\u7684\u89c4\u5219\u5e8f\uff1a\u6309\u7c7b\u7684\u666e\u904d\u6027\u6216\u8bef\u5206\u7c7b\u4ee3\u4ef7\u6392\u5e8f\u3002<\/li>\n\n\n\n<li>\u57fa\u4e8e\u89c4\u5219\u7684\u89c4\u5219\u5e8f\uff1a\u6309\u51c6\u786e\u5ea6\u3001\u8986\u76d6\u7387\u6392\u5e8f\u6210\u51b3\u7b56\u8868\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u9ed8\u8ba4\u7c7b\uff1a\u5f53\u65e0\u89c4\u5219\u8986\u76d6\u65f6\uff0c\u9009\u62e9\u591a\u6570\u7c7b\u6216\u672a\u8986\u76d6\u5143\u7ec4\u7684\u591a\u6570\u7c7b\uff0c\u5982\u9ed8\u8ba4\u89c4\u5219<code>IF THEN class=\u591a\u6570\u7c7b<\/code>\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u89c4\u5219\u63d0\u53d6\u4e0e\u5f52\u7eb3<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u4ece\u51b3\u7b56\u6811\u63d0\u53d6\uff1a\u6bcf\u6761\u6839\u5230\u53f6\u8def\u5f84\u751f\u6210\u4e00\u6761\u89c4\u5219\uff0c\u89c4\u5219\u95f4\u4e92\u65a5\u4e14\u7a77\u4e3e\uff0c\u5982<code>age=young AND student=no \u2192 buys_computer=no<\/code>\u7b49\u3002<\/li>\n\n\n\n<li>\u987a\u5e8f\u8986\u76d6\u7b97\u6cd5\uff08\u5982 FOIL\uff09\uff1a\u4ece\u8bad\u7ec3\u6570\u636e\u76f4\u63a5\u5b66\n<ul class=\"wp-block-list\">\n<li>\u6b65\u9aa4\uff1a\u4e00\u6b21\u5b66\u4e60\u4e00\u6761\u89c4\u5219\uff0c\u5220\u9664\u8986\u76d6\u5143\u7ec4\uff0c\u91cd\u590d\u81f3\u6ee1\u8db3\u6761\u4ef6\u3002<\/li>\n\n\n\n<li>\u89c4\u5219\u751f\u6210\uff1a\u4ece\u7a7a\u89c4\u5219\u5f00\u59cb\uff0c\u8d2a\u5fc3\u6dfb\u52a0\u5c5e\u6027\u6d4b\u8bd5\uff0c\u7528\u51c6\u786e\u7387\u3001\u71b5\u3001FOIL \u4fe1\u606f\u589e\u76ca<code>FOIL_Gain=pos'*(log2(pos'\/(pos'+neg')-log2(pos\/(pos+neg)))<\/code>\u8bc4\u4f30\u3002<\/li>\n\n\n\n<li>\u526a\u679d\uff1a\u5982 FOIL \u526a\u679d<code>(pos-neg)\/(pos+neg)<\/code>\uff0c\u63d0\u5347\u6cdb\u5316\u80fd\u529b\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u8d1d\u53f6\u65af\u5206\u7c7b<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u516c\u5f0f\uff1aP(H|X)=P(X|H)P(H)\/P(X)\uff0c\u5176\u4e2dP(H)\u4e3a\u5148\u9a8c\u6982\u7387\uff0cP(X|H)\u4e3a\u4f3c\u7136\u5ea6\uff0cP(H|X)\u4e3a\u540e\u9a8c\u6982\u7387\u3002<\/li>\n\n\n\n<li>\u4f8b\u5b50\uff1aX=(age&lt;=30,income=medium,student=yes,credit_rating=fair)\uff0c\u8ba1\u7b97\u5c5e\u4e8ebuys_computer=yes\u7684\u6982\u7387\n<ul class=\"wp-block-list\">\n<li>\u5957\u7528\u6761\u4ef6\u6982\u7387\u516c\u5f0f\uff0c\u8ba1\u7b97\uff1a\n<ul class=\"wp-block-list\">\n<li>P(C<sub>i <\/sub>)\uff1a\u5373P(buys_computer = \u201cyes\u201d)\u6216no\u7684\u6982\u7387<\/li>\n\n\n\n<li>P(X|C<sub>i<\/sub> )\uff1a\u5728yes\u6216no\u7684\u6761\u4ef6\u4e0b\uff0cX\u53d1\u751f\u7684\u6982\u7387\uff0c\u6982\u7387\u8ba4\u4e3a\u662f\u8fd9\u56db\u4e2a\u76f4\u63a5\u4e58<\/li>\n\n\n\n<li>\u6700\u540e\u90a3\u4e2a\u6982\u7387\u5927\uff0c\u5c31\u9009\u54ea\u4e2a<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u4e00\u4e9b\u57fa\u672c\u5047\u8bbe\u4e0e\u5904\u7406<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5047\u8bbe\u5c5e\u6027\u6761\u4ef6\u72ec\u7acb\uff1a<code>P(X|Ci)=\u220fP(xk|Ci)<\/code>\u3002<\/li>\n\n\n\n<li>\u8fde\u7eed\u5c5e\u6027\uff1a\n<ul class=\"wp-block-list\">\n<li>\u79bb\u6563\u5316\uff1a\u5206\u533a\u95f4\u8ba1\u7b97\u6bd4\u4f8b\u3002<\/li>\n\n\n\n<li>\u6b63\u6001\u5206\u5e03\uff1a<code>P(xk|Ci)\u2248g(xk,\u03bcCi,\u03c3Ci)=1\/(\u221a(2\u03c0)\u03c3Ci)e^(-(x-\u03bcCi)\u00b2\/(2\u03c3Ci\u00b2))<\/code>\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u96f6\u6982\u7387\u89e3\u51b3\uff1a\u62c9\u666e\u62c9\u65af\u6821\u51c6\uff0c\u5982<code>income=low<\/code>\u539f\u8ba1\u6570 0\uff0c\u6821\u51c6\u540e<code>Prob=(0+1)\/(1000+3)=1\/1003<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u795e\u7ecf\u7f51\u7edc\u4e0e BP \u7b97\u6cd5<\/h3>\n\n\n\n<p>\u591a\u5c42\u524d\u9988\u7f51\u7edc\uff1a\u8f93\u5165\u5c42\u3001\u9690\u85cf\u5c42\u3001\u8f93\u51fa\u5c42\uff0c\u795e\u7ecf\u5143\u901a\u8fc7\u6743\u91cdwij\u548c\u504f\u501a\u03b8j\u8fde\u63a5\uff0c\u8f93\u51fa\u7528 S \u578b\u51fd\u6570Oj=1\/(1+e^(-Ij))\uff0c\u5176\u4e2dIj=\u2211xiwij+\u03b8j\u3002<\/p>\n\n\n\n<p>BP\u7b97\u6cd5\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u524d\u5411\u4f20\u64ad\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5728\u524d\u5411\u4f20\u64ad\u8fc7\u7a0b\u4e2d\uff0c\u8f93\u5165\u6570\u636e\u4ece\u8f93\u5165\u5c42\u7ecf\u8fc7\u9690\u85cf\u5c42\u4f20\u9012\u5230\u8f93\u51fa\u5c42\uff0c\u8ba1\u7b97\u51fa\u6a21\u578b\u7684\u9884\u6d4b\u503c\u00a0y<sub>pred<\/sub>\u548c\u635f\u5931\u503c\u00a0L\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u53cd\u5411\u4f20\u64ad\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6839\u636e\u94fe\u5f0f\u6cd5\u5219\uff08\u7528\u4e8e\u5904\u7406\u590d\u5408\u51fd\u6570\u6c42\u5bfc\u7684\u91cd\u8981\u89c4\u5219\uff09\uff0c\u8ba1\u7b97\u635f\u5931\u51fd\u6570\u76f8\u5bf9\u4e8e\u6bcf\u4e2a\u53c2\u6570\u7684\u68af\u5ea6\u00a0\u2202L\/\u2202w\uff0c\u4ece\u8f93\u51fa\u5c42\u5411\u8f93\u5165\u5c42\u9010\u5c42\u53cd\u5411\u4f20\u64ad\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u53c2\u6570\u66f4\u65b0\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5229\u7528\u68af\u5ea6\u4e0b\u964d\u7b49\u4f18\u5316\u7b97\u6cd5\uff0c\u901a\u8fc7\u68af\u5ea6\u4fe1\u606f\u66f4\u65b0\u6bcf\u5c42\u7684\u6743\u91cd\u548c\u504f\u7f6e\uff1aw=w\u2212\u03b7\u22c5\u2202w\/\u2202L\uff0c\u5176\u4e2dw\u4e3a\u53c2\u6570\uff0c\u03b7\u4e3a\u5b66\u4e60\u7387<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u793a\u4f8b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-108.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-108.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-109.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-109.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"header-id-57\">\u524d\u5411\u4f20\u64ad<\/h4>\n\n\n\n<p>\u8981\u8ba1\u7b97\u524d\u5411\u4f20\u64ad\uff0c\u5c31\u9700\u8981\u7b97\u51fa\u5b9e\u9645\u7684a1\uff0ca2\uff0c\u7136\u540e\u6309\u7167\u8981\u6c42\u4f7f\u7528\u6fc0\u6d3b\u51fd\u6570\u5f97\u51fa\u9690\u85cf\u5c42h1h2\u3002<\/p>\n\n\n\n<p>\u505a\u9898\u5c31\u662f\u6309\u7167\u516c\u5f0f\u7ec4\u5408\uff0c\u6bd4\u5982\u8bf4\u7b2c\u4e00\u4e2a\u53ef\u4ee5\u770b\u5230h1\u662f\u7531x1,x2,w0,W\u5171\u540c\u7ec4\u5408\u6210\uff0c\u56e0\u6b64\u6211\u4eec\u5c31\u53ef\u4ee5\u5148\u8ba1\u7b97\u51faa1\uff0c\u7136\u540e\u6fc0\u6d3b\u540e\u4f5c\u4e3ah1\uff0c\u540c\u7406\uff0c\u5bf9\u4e8ey\uff0c\u7531h1,h2,v0,V\u8fd9\u4e2a\u7ec4\u6210\uff0c\u8fd8\u662f\u7ec4\u5408\u540e\u6fc0\u6d3b\u5f97\u5230y<\/p>\n\n\n\n<p>\u89e3\u7b54\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-110.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-110.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-111.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-111.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-112.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-112.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\"\/><\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u53cd\u5411\u4f20\u64ad<\/h4>\n\n\n\n<p>\u4f7f\u7528\u7b2c 4 \u4e2a\u6837\u672c (x = [0.7, 0.6],t = 1)\uff0c\u57fa\u4e8e\u4ea4\u53c9\u71b5\u635f\u5931\u51fd\u6570\u8ba1\u7b97\u6bcf\u4e2a\u53c2\u6570\u7684\u504f\u5bfc\u6570<\/p>\n\n\n\n<p>\u89e3\u7b54\uff1a<\/p>\n\n\n\n<p>\u901a\u8fc7\u67e5\u8be2\u53ef\u77e5\uff0c\u4ea4\u53c9\u71b5\u635f\u5931\u51fd\u6570L = \u2212tlog y \u2212 (1 \u2212 t)log(1 \u2212 y)\uff0c\u56e0\u4e3at=1\uff0c\u6240\u4ee5L=-logy<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-197.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"882\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-197.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4557\"  sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-198.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"764\" height=\"877\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-198.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4558\"  sizes=\"auto, (max-width: 764px) 100vw, 764px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<p>\u540e\u7eed\u7c7b\u4f3c\u4e0d\u518d\u8d58\u8ff0\uff0c\u6700\u540e\u6743\u91cd\u7684\u66f4\u65b0\u6309\u7167\u5b66\u4e60\u7387\u548c\u521d\u59cb\u53c2\u6570w=w\u2212\u03b7\u22c5\u2202w\/\u2202L\uff0c\u8ba1\u7b97\u5f97\u5230\u6700\u540e\u7684<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u652f\u6301\u5411\u91cf\u673a (SVM)<\/h3>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<ol class=\"wp-block-list\">\n<li><strong>\u57fa\u672c\u539f\u7406<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u7ebf\u6027\u53ef\u5206\uff1a\u627e\u6700\u5927\u95f4\u9694\u8d85\u5e73\u9762<code>f(x)=wx+b<\/code>\uff0c\u975e\u7ebf\u6027\u901a\u8fc7\u6838\u51fd\u6570\u6620\u5c04\u5230\u9ad8\u7ef4\uff0c\u5982<code>(x1,x2)\u2192(x1\u00b2,\u221a2x1x2,x2\u00b2)<\/code>\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e0e\u795e\u7ecf\u7f51\u7edc\u5bf9\u6bd4<\/strong>\n<ul class=\"wp-block-list\">\n<li>SVM \u57fa\u4e8e\u7edf\u8ba1\u5b66\u4e60\u7406\u8bba\uff0c\u7ed3\u6784\u98ce\u9669\u6700\u5c0f\u5316\uff0c\u7406\u8bba\u66f4\u4e25\u8c28\uff1bNN \u4f9d\u8d56\u5de5\u7a0b\u6280\u5de7\uff0c\u6613\u9677\u5165\u5c40\u90e8\u6700\u5c0f\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-199.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"635\" height=\"586\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-199.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4559\" style=\"width:301px;height:auto\"  sizes=\"auto, (max-width: 635px) 100vw, 635px\" \/><\/div><\/figure>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u96c6\u6210\u5b66\u4e60<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u65b9\u6cd5<\/th><th>\u6838\u5fc3\u601d\u60f3<\/th><th>\u7279\u70b9<\/th><\/tr><\/thead><tbody><tr><td>Bagging<\/td><td>\u6709\u653e\u56de\u62bd\u6837\u751f\u6210 k \u4e2a\u8bad\u7ec3\u96c6\uff0c\u57fa\u5206\u7c7b\u5668\u6295\u7968<\/td><td>\u51cf\u5c11\u65b9\u5dee\uff0c\u5bf9\u566a\u58f0\u9c81\u68d2<\/td><\/tr><tr><td>Boosting<\/td><td>\u8fed\u4ee3\u8c03\u6574\u6837\u672c\u6743\u91cd\uff0c\u805a\u7126\u9519\u5206\u6837\u672c\uff0c\u57fa\u5206\u7c7b\u5668\u52a0\u6743\u6295\u7968<\/td><td>\u51cf\u5c11\u504f\u5dee\uff0c\u5bf9\u79bb\u7fa4\u70b9\u654f\u611f<\/td><\/tr><tr><td>\u968f\u673a\u68ee\u6797<\/td><td>\u7ec4\u5408\u51b3\u7b56\u6811\uff0c\u968f\u673a\u9009\u62e9\u5c5e\u6027\u5b50\u96c6\u5206\u88c2<\/td><td>\u6297\u566a\u58f0\uff0c\u6cdb\u5316\u80fd\u529b\u5f3a<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u5176\u4ed6\u5206\u7c7b\u65b9\u6cd5<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u9891\u7e41\u6a21\u5f0f\u5206\u7c7b<\/h4>\n\n\n\n<p>\u7528\u9891\u7e41\u6a21\u5f0f\u751f\u6210\u5173\u8054\u89c4\u5219\u5206\u7c7b\uff0c\u5982IF income=high THEN buys_computer=yes\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u60f0\u6027\u5b66\u4e60\u6cd5<\/strong><\/h4>\n\n\n\n<p>KNN\uff1a\u627e k \u4e2a\u6700\u8fd1\u90bb\uff0c\u591a\u6570\u8868\u51b3\uff0c\u5982 k=5\uff0c\u7528\u6b27\u6c0f\u8ddd\u79bbd=\u221a\u2211(xi-xj)\u00b2\u3002<br>CBR\uff1a\u57fa\u4e8e\u6848\u4f8b\u63a8\u7406\uff0c\u5982\u6c7d\u8f66\u6545\u969c\u8bca\u65ad\uff0c\u5339\u914d\u76f8\u4f3c\u6848\u4f8b\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u5176\u5b83\u7684\u5176\u5b83\u65b9\u6cd5<\/h4>\n\n\n\n<p>\u5176\u4ed6\u65b9\u6cd5\uff1a<br>\u9057\u4f20\u7b97\u6cd5\uff08\u6a21\u62df\u8fdb\u5316\uff0c\u5982\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02\u6765\u4e0d\u65ad\u4f18\u5316\uff09<br>\u6a21\u7cca\u96c6\uff08\u5904\u7406\u6a21\u7cca\u6982\u5ff5\u5b9e\u73b0\u9ad8\u5c42\u6b21\u62bd\u8c61\uff0c\u5982 \u201c\u9ad8\u6536\u5165\u201d \u96b6\u5c5e\u5ea6 0.96\uff09<br>\u7c97\u7cd9\u96c6\uff08\u5904\u7406\u4e0d\u7cbe\u786e\u6570\u636e\uff0c\u901a\u8fc7\u4e0a\u4e0b\u8fd1\u4f3c\u96c6\u5b9a\u4e49\uff08\u65e0\u6cd5\u786e\u8ba4\u5c31\u653e\u5728\u8fb9\u754c\uff09\uff09\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u805a\u7c7b<\/h2>\n\n\n\n<p>\u662f\u4ec0\u4e48\uff1f\u5c06\u6570\u636e\u5bf9\u8c61\u5212\u5206\u4e3a\u5b50\u96c6\uff08\u7c07\uff09\u7684\u8fc7\u7a0b\uff0c\u8981\u6c42\u7c07\u5185\u5bf9\u8c61\u76f8\u4f3c\uff0c\u7c07\u95f4\u76f8\u5f02\uff0c\u5c5e\u4e8e\u65e0\u76d1\u7763\u5b66\u4e60\uff0c\u65e0\u9700\u7c7b\u6807\u53f7\u4fe1\u606f\u3002<\/p>\n\n\n\n<p>\u5e94\u7528\uff1a<br>\u7a7a\u95f4\u6570\u636e\u5206\u6790\uff1a\u521b\u5efa GIS \u4e3b\u9898\u6620\u5c04\u3001\u63a2\u6d4b\u7a7a\u95f4\u7c07\u3002<br>\u56fe\u50cf\u6a21\u5f0f\u8bc6\u522b\uff1a\u5bf9\u624b\u5199\u6570\u5b57\u805a\u7c7b\u63d0\u9ad8\u8bc6\u522b\u51c6\u786e\u7387\u3002<br>\u7ecf\u6d4e\u5b66\uff1a\u5ba2\u6237\u5206\u7ec4\u4ee5\u4f18\u5316\u5ba2\u6237\u5173\u7cfb\u7ba1\u7406\u3002<br>Web \u5173\u952e\u8bcd\u641c\u7d22\uff1a\u5c06\u641c\u7d22\u7ed3\u679c\u5206\u7ec4\u4fbf\u4e8e\u5448\u73b0\u3002<\/p>\n\n\n\n<p>\u4ec0\u4e48\u6837\u7684\u805a\u7c7b\u662f\u597d\u7684\uff1f\u6700\u5927\u5316\u7c7b\u5185\u76f8\u4f3c\u6027\uff0c\u6700\u5c0f\u5316\u7c7b\u95f4\u76f8\u4f3c\u6027\uff0c\u4f9d\u8d56\u76f8\u4f3c\u6027\u5ea6\u91cf\u7684\u9009\u62e9\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4e3b\u8981\u65b9\u6cd5\u6bd4\u8f83<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>\u65b9\u6cd5\u7c7b\u578b<\/strong><\/th><th><strong>\u6838\u5fc3\u601d\u60f3<\/strong><\/th><th><strong>\u4ee3\u8868\u7b97\u6cd5<\/strong><\/th><th><strong>\u4f18\u70b9<\/strong><\/th><th><strong>\u7f3a\u70b9<\/strong><\/th><\/tr><\/thead><tbody><tr><td>\u5212\u5206\u65b9\u6cd5<\/td><td>\u5c06\u6570\u636e\u96c6\u5212\u5206\u4e3a k \u4e2a\u4e92\u65a5\u7c07\uff0c\u57fa\u4e8e\u8ddd\u79bb\u8fed\u4ee3\u4f18\u5316<\/td><td>K &#8211; \u5747\u503c\u3001K &#8211; \u4e2d\u5fc3\u70b9\uff08PAM\uff09<\/td><td>K &#8211; \u5747\u503c\u590d\u6742\u5ea6\u4f4e\uff0cPAM \u6297\u79bb\u7fa4\u70b9<\/td><td>K &#8211; \u5747\u503c\u9700\u9884\u8bbe k\uff0c\u5bf9\u521d\u59cb\u503c\u654f\u611f\uff1bPAM \u8ba1\u7b97\u4ee3\u4ef7\u9ad8<\/td><\/tr><tr><td>\u5c42\u6b21\u65b9\u6cd5<\/td><td>\u521b\u5efa\u6570\u636e\u7684\u5c42\u6b21\u5206\u89e3\uff0c\u5206\u51dd\u805a\u5f0f\u548c\u5206\u88c2\u5f0f<\/td><td>AGNES\uff08\u51dd\u805a\uff09\u3001DIANA\uff08\u5206\u88c2\uff09<\/td><td>\u65e0\u9700\u9884\u8bbe\u7c07\u6570\uff0c\u53ef\u96c6\u6210\u5176\u4ed6\u6280\u672f<\/td><td>\u65e0\u6cd5\u64a4\u9500\u64cd\u4f5c\uff0c\u4f38\u7f29\u6027\u5dee\uff08O (n\u00b2)\uff09<\/td><\/tr><tr><td>\u57fa\u4e8e\u5bc6\u5ea6\u65b9\u6cd5<\/td><td>\u57fa\u4e8e\u5bc6\u5ea6\u76f8\u8fde\u5b9a\u4e49\u7c07\uff0c\u53d1\u73b0\u4efb\u610f\u5f62\u72b6\u7c07<\/td><td>DBSCAN\u3001OPTICS<\/td><td>\u6297\u566a\u58f0\uff0c\u80fd\u53d1\u73b0\u4efb\u610f\u5f62\u72b6\u7c07<\/td><td>\u53c2\u6570 Eps \u548c MinPts \u96be\u4ee5\u786e\u5b9a<\/td><\/tr><tr><td>\u57fa\u4e8e\u7f51\u683c\u65b9\u6cd5<\/td><td>\u5c06\u7a7a\u95f4\u91cf\u5316\u4e3a\u7f51\u683c\uff0c\u5728\u7f51\u683c\u4e0a\u64cd\u4f5c<\/td><td>STING\u3001CLIQUE<\/td><td>\u5904\u7406\u901f\u5ea6\u5feb\uff0c\u72ec\u7acb\u4e8e\u6570\u636e\u91cf<\/td><td>\u9ad8\u7ef4\u65f6\u7f51\u683c\u6570\u6307\u6570\u589e\u957f\uff0c\u77e9\u5f62\u7f51\u683c\u7cbe\u5ea6\u4f4e<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u5212\u5206\u65b9\u6cd5<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>K &#8211; means\u7b97\u6cd5<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6b65\u9aa4\uff1a\u968f\u673a\u9009 k \u4e2a\u521d\u59cb\u7c07\u4e2d\u5fc3\uff0c\u5206\u914d\u5bf9\u8c61\u5230\u6700\u8fd1\u7c07\uff0c\u66f4\u65b0\u4e2d\u5fc3\uff08\u7528\u4e0a\u6b21\u5206\u914d\u5230\u8fd9\u4e2a\u7c07\u6240\u6709\u5bf9\u8c61\u7684\u5747\u503c\u4f5c\u4e3a\u4e2d\u5fc3\uff09\uff0c\u91cd\u590d\u81f3\u7a33\u5b9a\u3002<\/li>\n\n\n\n<li>\u76ee\u6807\u51fd\u6570\uff1a\u8bef\u5dee\u5e73\u65b9\u548c E=\u2211\u2211dist (p,ci)\u00b2\uff0cci \u4e3a\u7c07\u5747\u503c\u3002<\/li>\n\n\n\n<li>\u4f18\u70b9\uff1a\u590d\u6742\u5ea6O(tkn)\uff1b\u5176\u4e2dn \u662f\u5bf9\u8c61\u7684\u6570\u76ee, k \u662f\u7c07\u7684\u6570\u76ee, t \u662f\u8fed\u4ee3\u7684\u6b21\u6570. \u901a\u5e38k\u3001t &lt;&lt; n<\/li>\n\n\n\n<li>\u7f3a\u70b9\uff1a\u8981\u4e8b\u5148\u77e5\u9053nk\uff0c\u521d\u59cb\u503c\u654f\u611f\uff0c\u79bb\u7fa4\u70b9\u654f\u611f\uff0c\u566a\u58f0\u654f\u611f\uff0c\u4e0d\u9002\u5408\u51f8\u9762<\/li>\n\n\n\n<li>\u53d8\u79cd\uff1aK &#8211; \u4f17\u6570\u5904\u7406\u6807\u79f0\u5c5e\u6027\uff0c\u7528\u4f17\u6570\u4ee3\u66ff\u5747\u503c\uff08\u5728\u65e0\u6cd5\u83b7\u53d6\u5e73\u5747\u503c\u65f6\u5019\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>K &#8211; <strong>medoids<\/strong>\uff08PAM\uff09<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6838\u5fc3\uff1a\u7528\u5b9e\u9645\u5bf9\u8c61\uff08\u4e2d\u5fc3\u70b9\uff09\u4ee3\u8868\u7c07\uff0c\u6700\u5c0f\u5316\u7edd\u5bf9\u8bef\u5dee\u548c E=\u2211\u2211dist (p,oi)\uff0coi \u4e3a\u4e2d\u5fc3\u70b9\u3002\u4e0b\u9762\u8fd9\u4e2a\u5148\u627e\u5230\u4e2d\u5fc3\u70b9\uff0c\u7136\u540e\u53bb\u627e\u6700\u8fd1\u7684\u4e8b\u4ef6\u5bf9\u8c61\u4ee3\u8868\u4e2d\u5fc3\u3002<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-201.png\" alt=\"\"><\/li>\n\n\n\n<li>\u7f3a\u70b9\uff1aNP-hard\u95ee\u9898\uff0c\u5927\u6570\u636e\u4ee3\u4ef7\u5f88\u9ad8<\/li>\n\n\n\n<li>\u6539\u8fdb\uff1aCLARA\uff08\u62bd\u6837\u6539\u8fdb PAM\uff09\u3001CLARANS\uff08\u968f\u673a\u641c\u7d22\u6539\u8fdb\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u5c42\u6b21\u65b9\u6cd5<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u51dd\u805a\u5f0f\uff08AGNES\uff09<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u8fc7\u7a0b\uff1a\u521d\u59cb\u6bcf\u4e2a\u5bf9\u8c61\u4e3a\u4e00\u7c07\uff0c\u9010\u6b65\u5408\u5e76\u76f8\u8fd1\u7c07\uff0c\u76f4\u81f3\u6ee1\u8db3\u6761\u4ef6\u3002<\/li>\n\n\n\n<li>\u7c07\u95f4\u8ddd\u79bb\u5ea6\u91cf\uff1a\u6700\u5c0f\u8ddd\u79bb\uff08\u5355\u8fde\u63a5\uff09\u3001\u6700\u5927\u8ddd\u79bb\uff08\u5168\u8fde\u63a5\uff09\u3001\u5747\u503c\u8ddd\u79bb\u3001\u5e73\u5747\u8ddd\u79bb\u3002<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-203.png\" alt=\"\"><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5206\u88c2\u5f0f\uff08DIANA\uff09<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u8fc7\u7a0b\uff1a\u521d\u59cb\u6240\u6709\u5bf9\u8c61\u5728\u4e00\u7c07\uff0c\u9010\u6b65\u5206\u88c2\u76f4\u81f3\u6bcf\u4e2a\u5bf9\u8c61\u81ea\u6210\u4e00\u7c07\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u57fa\u4e8e\u5bc6\u5ea6\u65b9\u6cd5\u8be6\u89e3\uff08DBSCAN\uff09<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6982\u5ff5<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>Eps\uff1a\u90bb\u57df\u534a\u5f84\uff0cMinPts\uff1a\u90bb\u57df\u6700\u5c0f\u70b9\u6570\u3002<\/li>\n\n\n\n<li>\u6838\u5fc3\u5bf9\u8c61\uff1aEps \u90bb\u57df\u542b\u2265MinPts 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\" alt=\"\"><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u57fa\u4e8e\u7f51\u683c\u65b9\u6cd5\u8be6\u89e3\uff08STING\uff09<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u539f\u7406<\/strong>\uff1a\u5c06\u7a7a\u95f4\u5212\u5206\u4e3a\u591a\u5c42\u7f51\u683c\uff0c\u5b58\u50a8\u5404\u5c42\u5355\u5143\u7edf\u8ba1\u4fe1\u606f\uff08\u8ba1\u6570\u3001\u5747\u503c\u3001\u6807\u51c6\u5dee\u7b49\uff09\u3002<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4<\/strong>\uff1a\u5b9a\u4e49\u7f51\u683c\uff0c\u5206\u914d\u5bf9\u8c61\uff0c\u8ba1\u7b97\u5bc6\u5ea6\uff0c\u5220\u9664\u4f4e\u5bc6\u5ea6\u5355\u5143\uff0c\u5408\u5e76\u7a20\u5bc6\u5355\u5143\u6210\u7c07\u3002<\/li>\n\n\n\n<li><strong>\u4f18\u7f3a\u70b9<\/strong>\uff1a\u67e5\u8be2\u5feb\uff08O (K)\uff09\uff0c\u53ea\u9700\u4e3a\u975e\u7a7a\u5355\u5143\u521b\u5efa\u7f51\u683c\uff1b\u4f46\u7c07\u5f62\u72b6\u53d7\u7f51\u683c\u9650\u5236\uff0c\u7cbe\u5ea6\u4f4e\uff0c\u65e0\u6cd5\u6355\u6349\u7c7b\u4f3c\u692d\u5706\u8fb9\u754c\u5bc6\u5ea6\uff0c\u5bf9\u9ad8\u7ef4\u6570\u636e\u6548\u679c\u5f88\u5dee\u3002<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-206.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"254\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-206.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4572\"  sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u805a\u7c7b\u8bc4\u4f30\u65b9\u6cd5<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u805a\u7c7b\u8d8b\u52bf\u8bc4\u4f30<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u970d\u666e\u91d1\u65af\u7edf\u8ba1\u91cf H=\u2211yi\/(\u2211xi+\u2211yi)\uff0cH\u22480.5 \u8868\u793a\u5747\u5300\u5206\u5e03\uff0cH\u21920 \u8868\u793a\u5b58\u5728\u805a\u7c7b\u7ed3\u6784\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7c07\u6570\u786e\u5b9a<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u7ecf\u9a8c\u516c\u5f0f\uff1ak\u2248\u221an\/2\uff08n \u4e3a\u6570\u636e\u70b9\u6570\uff09\u3002<\/li>\n\n\n\n<li>\u8098\u65b9\u6cd5\uff1a\u7ed8\u5236\u7c07\u5185\u65b9\u5dee &#8211; \u7c07\u6570\u66f2\u7ebf\uff0c\u53d6\u62d0\u70b9\u3002<\/li>\n\n\n\n<li>\u4ea4\u53c9\u9a8c\u8bc1\uff1a\u5212\u5206\u6570\u636e\u96c6\uff0c\u7528\u90e8\u5206\u5efa\u7acb\u6a21\u578b\uff0c\u68c0\u9a8c\u96c6\u8bc4\u4f30\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8d28\u91cf\u6d4b\u5b9a<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5916\u5728\u65b9\u6cd5\uff1a\u4e0e\u57fa\u51c6\u6bd4\u8f83\uff0c\u5982 Bcubed \u7cbe\u5ea6\uff08\u540c\u4e00\u7c07\u4e2d\u540c\u7c7b\u522b\u5bf9\u8c61\u6bd4\u4f8b\uff09\u548c\u53ec\u56de\u7387\uff08\u540c\u7c7b\u522b\u5bf9\u8c61\u540c\u7c07\u6bd4\u4f8b\uff09\u3002<\/li>\n\n\n\n<li>\u5185\u5728\u65b9\u6cd5\uff1a\u8f6e\u5ed3\u7cfb\u6570\uff0c\u8861\u91cf\u7c07\u7684\u7d27\u51d1\u6027\u548c\u5206\u79bb\u6027\uff0c\u8303\u56f4 [-1,1]\uff0c\u8d8a\u63a5\u8fd1 1 \u8d8a\u597d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u63a8\u8350\u7cfb\u7edf\u53ca\u793e\u4f1a\u7f51\u7edc<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u63a8\u8350\u7cfb\u7edf<\/h3>\n\n\n\n<p>\u4e3a\u4ec0\u4e48\u6709\u8fd9\u4e1c\u897f\uff1f\u56e0\u4e3a\u4fe1\u606f\u592a\u591a\u4e86\uff0c\u9700\u8981\u5feb\u901f\u4fbf\u6377\u627e\u5230\u53ef\u80fd\u9700\u8981\u7684\u5185\u5bb9<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u4e3b\u8981\u7c7b\u578b<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>\u7c7b\u578b<\/strong><\/th><th><strong>\u6838\u5fc3\u601d\u60f3<\/strong><\/th><th><strong>\u4f18\u70b9<\/strong><\/th><th><strong>\u7f3a\u70b9<\/strong><\/th><\/tr><\/thead><tbody><tr><td>\u57fa\u4e8e\u5185\u5bb9<\/td><td>\u6839\u636e\u7269\u54c1\u5c5e\u6027\uff08\u5982\u7c7b\u578b\u3001\u989c\u8272\uff09\u548c\u7528\u6237\u504f\u597d\u5339\u914d<\/td><td>\u4e0d\u4f9d\u8d56\u5176\u4ed6\u7528\u6237\u6570\u636e\uff0c\u9002\u5408\u51b7\u542f\u52a8<\/td><td>\u9700\u51c6\u786e\u63cf\u8ff0\u7269\u54c1\u5185\u5bb9\uff0c\u96be\u4ee5\u53d1\u73b0\u65b0\u5174\u8da3<\/td><\/tr><tr><td>\u534f\u540c\u8fc7\u6ee4<\/td><td>\u4f9d\u8d56 \u201c\u76f8\u4f3c\u7528\u6237\u559c\u6b22\u76f8\u4f3c\u7269\u54c1\u201d \u5047\u8bbe<\/td><td>\u53ef\u53d1\u73b0\u7528\u6237\u6f5c\u5728\u5174\u8da3\uff0c\u65e0\u9700\u7269\u54c1\u5185\u5bb9<\/td><td>\u6570\u636e\u7a00\u758f\u65f6\u6548\u679c\u5dee\uff0c\u5b58\u5728\u51b7\u542f\u52a8\u95ee\u9898\uff08\u65b0\u7269\u54c1\u65e0\u7528\u6237\u4ea4\u4e92\uff09<\/td><\/tr><tr><td>\u7528\u6237 &#8211; \u7528\u6237 CF\uff08\u534f\u540c\u8fc7\u6ee4\u7684\u4e00\u79cd\u65b9\u6cd5\uff09<\/td><td>\u627e\u4e0e\u76ee\u6807\u7528\u6237\u76f8\u4f3c\u7684 N \u4e2a\u7528\u6237\uff0c\u57fa\u4e8e\u5176\u884c\u4e3a\u63a8\u8350<\/td><td>\u53ef\u89e3\u91ca\u6027\u597d<\/td><td>\u5927\u89c4\u6a21\u8ba1\u7b97\u6548\u7387\u4f4e\uff0c\u7528\u6237\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u590d\u6742<\/td><\/tr><tr><td>\u7269\u54c1 &#8211; \u7269\u54c1 CF\uff08\u534f\u540c\u8fc7\u6ee4\u7684\u4e00\u79cd\u65b9\u6cd5\uff09<\/td><td>\u627e\u4e0e\u76ee\u6807\u7269\u54c1\u76f8\u4f3c\u7684\u7269\u54c1\uff0c\u57fa\u4e8e\u7528\u6237\u5bf9\u76f8\u4f3c\u7269\u54c1\u7684\u8bc4\u5206\u63a8\u8350<\/td><td>\u7a33\u5b9a\u6027\u9ad8\uff0c\u9002\u5408\u7535\u5546<\/td><td>\u65b0\u7269\u54c1\u96be\u4ee5\u63a8\u8350<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u534f\u540c\u8fc7\u6ee4\u5b9e\u73b0<\/h4>\n\n\n\n<p>\u9996\u5148\u9700\u8981\u6709\u8bc4\u4ef7\u8868\uff0c\u8868\u793auser\u5bf9\u4e8e\u7269\u54c1\u7684\u6253\u5206<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-207.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"300\" data-original=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-207.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-4575\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">User-User CF<\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6b65\u9aa4 1\uff1a\u8ba1\u7b97\u7528\u6237\u95f4\u76f8\u4f3c\u5ea6<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u601d\u60f3\uff1a\u628a\u7528\u6237\u8bc4\u5206\u4f5c\u4e3a\u9ad8\u7ef4\u5411\u91cf\uff0c\u518d\u901a\u8fc7\u8ba1\u7b97\u76f8\u4f3c\u6027\uff08\u5982\u4f59\u5f26\u76f8\u4f3c\u5ea6,Jaccard\u76f8\u4f3c\u5ea6\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\uff09<\/li>\n\n\n\n<li>e.g.\u7528\u6237 User1 \u7684\u8bc4\u5206\u5411\u91cf\u4e3a[1, 5, 0, 0, 2]\uff0c\u7528\u6237 User2 \u4e3a[0, 5, 0, 0, 0]\uff0c\u4ee3\u5165\u516c\u5f0f(sim(u,v)=u\u00b7v\/(||u|| \u00b7 ||v||))\u53ef\u5f97\u4e24\u8005\u7684\u4f59\u5f26\u76f8\u4f3c\u5ea6\u4e3a 0.91<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4 2\uff1a\u5bfb\u627e k \u4e2a\u76f8\u4f3c\u7528\u6237\uff08k-NN\uff09<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6309\u7167\u76f8\u4f3c\u5ea6\uff0c\u627ek\u4e2a\u76f8\u4f3c\u5ea6\u6700\u9ad8\u7684\u7528\u6237\u4f5c\u4e3a\u90bb\u5c45<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4 3\uff1a\u9884\u6d4b\u76ee\u6807\u7528\u6237\u7684\u8bc4\u5206<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u672a\u52a0\u6743\uff1a\u5bf9\u8fd9\u4e9b\u90bb\u5c45\u5bf9\u67d0\u4e00\u7269\u54c1\u7684\u8bc4\u5206\u5e73\u5747\u503c<\/li>\n\n\n\n<li>\u52a0\u6743\u5e73\u5747\uff1a\u501f\u52a9\u76f8\u4f3c\u5ea6\u52a0\u6743<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-208.png\" alt=\"\"><\/li>\n\n\n\n<li>\u6807\u51c6\u5316\u5904\u7406\uff1a\u4e3a\u907f\u514d\u7528\u6237\u8bc4\u5206\u5c3a\u5ea6\u5dee\u5f02\uff08\u5982\u6709\u4eba\u504f\u7231\u6253\u9ad8\u5206\uff09\uff0c\u53ef\u5148\u5bf9\u8bc4\u5206\u8fdb\u884c\u6807\u51c6\u5316\uff1ar&#8217; = r &#8211; avg(r)\uff0c\u9884\u6d4b\u540e\u518d\u8fd8\u539f\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4 4\uff1a\u751f\u6210\u63a8\u8350\u5217\u8868<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6392\u5e8f\uff0c\u5bf9\u4e8e\u7528\u6237\u6ca1\u4ea4\u4e92\u7684\u7269\u54c1\uff0c\u9884\u6d4b\u8bc4\u5206\u5e76\u964d\u5e8f\u6392\u5217\uff0c\u9009\u53d6TOP-N\u63a8\u8350<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">Item-Item CF<\/h5>\n\n\n\n<p>\u601d\u8def\u548c\u4e0e User-User CF \u7c7b\u4f3c\uff0c\u4f46\u5c06\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u5bf9\u8c61\u4ece\u7528\u6237\u6539\u4e3a\u7269\u54c1\u3002<\/p>\n\n\n\n<p><strong>\u4f18\u52bf<\/strong>\uff1a\u76f8\u6bd4 User-User CF\uff0cItem-Item CF \u66f4\u7a33\u5b9a\uff0c\u9002\u5408\u7535\u5546\u7b49\u7269\u54c1\u6570\u8fdc\u5c11\u4e8e\u7528\u6237\u6570\u7684\u573a\u666f\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u63a8\u8350\u7cfb\u7edf\u7684\u8bc4\u4f30\u6307\u6807<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u9884\u6d4b\u51c6\u786e\u5ea6<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>RMSE\uff08\u5747\u65b9\u6839\u8bef\u5dee\uff09<\/strong>\uff1a<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-209.png\" alt=\"\">\uff0c\u4f8b\u5982\u9884\u6d4b\u8bc4\u5206\u4e0e\u5b9e\u9645\u8bc4\u5206\u7684\u504f\u5dee\u5e73\u65b9\u548c\u7684\u5e73\u65b9\u6839\u3002<\/li>\n\n\n\n<li><strong>MAE\uff08\u5e73\u5747\u7edd\u5bf9\u8bef\u5dee\uff09<\/strong>\uff1a<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-210.png\" alt=\"\">\uff0c\u8861\u91cf\u9884\u6d4b\u8bc4\u5206\u4e0e\u5b9e\u9645\u8bc4\u5206\u7684\u5e73\u5747\u7edd\u5bf9\u504f\u5dee\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>TopN \u63a8\u8350\u6307\u6807<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u51c6\u786e\u7387\uff08Precision\uff09<\/strong>\uff1a\u63a8\u8350\u5217\u8868\u4e2d\u76f8\u5173\u7269\u54c1\u7684\u6bd4\u4f8b\u3002<\/li>\n\n\n\n<li><strong>\u53ec\u56de\u7387\uff08Recall\uff09<\/strong>\uff1a\u6d4b\u8bd5\u96c6\u4e2d\u76f8\u5173\u7269\u54c1\u88ab\u63a8\u8350\u7684\u6bd4\u4f8b\u3002<\/li>\n\n\n\n<li><strong>F1 Score<\/strong>\uff1aF1=(2 * Precision * Recall)\/(Precision + Recall\uff09,\u5e73\u8861\u51c6\u786e\u7387\u548c\u53ec\u56de\u7387\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5176\u4ed6\u6307\u6807<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u5e73\u5747\u6392\u540d\u5012\u6570\uff08MRR\uff09<\/strong>\uff1a<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-211.png\" alt=\"\">\uff0c\u786e\u5b9a\u6240\u627e\u5230\u7684item\u653e\u7684\u4f4d\u7f6e\u597d\u4e0d\u597d\u3002<\/li>\n\n\n\n<li>\u7d2f\u8ba1\u589e\u76ca\uff08Cumulative Gain\uff0cCG\uff09\uff1a\u8861\u91cf\u63a8\u8350\u5217\u8868\u4e2d\u6240\u6709\u76f8\u5173\u7269\u54c1\u7684\u76f8\u5173\u6027\u5206\u6570\u603b\u548c\uff0c\u4e0d\u8003\u8651\u7269\u54c1\u5728\u5217\u8868\u4e2d\u7684\u4f4d\u7f6e\u987a\u5e8f\uff0cCG=SUM\uff08rel<sub>i<\/sub>\uff09\n<ul class=\"wp-block-list\">\n<li>\u82e5\u63a8\u8350\u5217\u8868\u4e2d\u7269\u54c1\u7684\u76f8\u5173\u6027\u5206\u6570\u4e3a [3, 2, 3, 0, 1, 2]\uff0cCG= 3 + 2 + 3 + 0 + 1 + 2 = 11\u3002<\/li>\n\n\n\n<li><strong>\u5c40\u9650\u6027<\/strong>\uff1a\u672a\u8003\u8651\u7528\u6237\u66f4\u5173\u6ce8\u63a8\u8350\u5217\u8868\u9760\u524d\u7684\u7269\u54c1\uff0c\u65e0\u6cd5\u53cd\u6620\u6392\u5e8f\u7684\u4f18\u52a3\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u6298\u6263\u7d2f\u8ba1\u589e\u76ca\uff08Discounted Cumulative Gain\uff0cDCG\uff09\uff1a\u5728 CG \u7684\u57fa\u7840\u4e0a\uff0c\u5bf9\u63a8\u8350\u5217\u8868\u4e2d\u9760\u524d\u7684\u7269\u54c1\u8d4b\u4e88\u66f4\u9ad8\u6743\u91cd\uff0c\u4f53\u73b0\u4f4d\u7f6e\u7684\u91cd\u8981\u6027\uff08\u8d8a\u9760\u524d\u7684\u7269\u54c1\u5bf9\u7528\u6237\u5f71\u54cd\u8d8a\u5927\uff09\u3002\n<ul class=\"wp-block-list\">\n<li>\u6807\u51c6\u516c\u5f0f\uff1a<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-212.png\" alt=\"\">i\u8868\u793a\u7b2c\u51e0\u4e2a\u4f4d\u7f6e\uff0crel<sub>i<\/sub>\u8868\u793a\u76f8\u5173\u6027\u8bc4\u5206\uff0c2<sup>rel<sub>i<\/sub><\/sup>\u7528\u6765\u653e\u5927\u5dee\u5f02<\/li>\n\n\n\n<li>\u4f5c\u7528\uff1a\u901a\u8fc7\u6298\u6263\u56e0\u5b50\u60e9\u7f5a\u9760\u540e\u4f4d\u7f6e\u7684\u7269\u54c1\uff0c\u66f4\u7b26\u5408\u7528\u6237\u5b9e\u9645\u6d4f\u89c8\u4e60\u60ef\uff08\u4f18\u5148\u5173\u6ce8\u524d\u6392\u63a8\u8350\uff09\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u6807\u51c6\u5316\u6298\u6263\u7d2f\u8ba1\u589e\u76ca\uff08Normalized Discounted Cumulative Gain\uff0cNDCG\uff09\n<ul class=\"wp-block-list\">\n<li>\u5c06 DCG \u4e0e \u201c\u7406\u60f3\u60c5\u51b5\u4e0b\u7684 DCG\uff08IDCG\uff09\u201d \u76f8\u9664\uff0c\u5f97\u5230 0 \u5230 1 \u4e4b\u95f4\u7684\u6807\u51c6\u5316\u503c\uff0c\u7528\u4e8e\u6bd4\u8f83\u4e0d\u540c\u63a8\u8350\u5217\u8868\u7684\u8d28\u91cf\u3002<\/li>\n\n\n\n<li>NDCG = DCG \/ IDCG<\/li>\n\n\n\n<li><strong>\u4f5c\u7528<\/strong>\uff1a\u6d88\u9664\u4e0d\u540c\u63a8\u8350\u5217\u8868\u957f\u5ea6\u548c\u76f8\u5173\u6027\u5206\u5e03\u7684\u5f71\u54cd\uff0c\u4fbf\u4e8e\u8de8\u7528\u6237\u3001\u8de8\u6a21\u578b\u7684\u6027\u80fd\u5bf9\u6bd4\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u63a8\u8350\u7cfb\u7edf\u9762\u4e34\u7684\u6311\u6218<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u957f\u5c3e\u95ee\u9898<\/strong>\uff1a\u7269\u54c1\u6d41\u884c\u5ea6\u548c\u7528\u6237\u6d3b\u8dc3\u5ea6\u5448\u957f\u5c3e\u5206\u5e03\uff0c\u70ed\u95e8\u5934\u90e8\u7269\u54c1\u6837\u672c\u591a\uff0c\u6a21\u578b\u5b66\u4e60\u6548\u679c\u597d\uff0c\u957f\u5c3e\u7269\u54c1\u6837\u672c\u5c11\uff0c\u63a8\u8350\u6548\u679c\u5dee\u3002<\/li>\n\n\n\n<li><strong>\u9a6c\u592a\u6548\u5e94<\/strong>\uff1a\u6a21\u578b\u503e\u5411\u4e8e\u7ed9\u70ed\u95e8\u7269\u54c1\u66f4\u9ad8\u8bc4\u5206\uff0c\u63a8\u8350\u9891\u7387\u8d85\u8fc7\u5176\u53d7\u6b22\u8fce\u7a0b\u5ea6\uff0c\u5f62\u6210 \u201c\u70ed\u95e8\u66f4\u70ed\u201d \u7684\u95ed\u73af\u3002<\/li>\n\n\n\n<li><strong>\u7a00\u758f\u6027\u95ee\u9898<\/strong>\uff1a\u6548\u7528\u77e9\u9635\u89c4\u6a21\u5927\u4e14\u6781\u5ea6\u7a00\u758f\uff0c\u5982 10000 \u4e2a\u7528\u6237 \u00d710000 \u4e2a\u7269\u54c1\uff0c\u4ec5\u6709 10000 \u4e2a\u8bc4\u5206\uff0c\u7a00\u758f\u6027\u8fbe 99.9999%\uff0c\u5bfc\u81f4\u534f\u540c\u8fc7\u6ee4\u5931\u6548\uff0c\u673a\u5668\u5b66\u4e60\u6a21\u578b\u6613\u8fc7\u62df\u5408\u3002<\/li>\n\n\n\n<li><strong>\u51b7\u542f\u52a8\u95ee\u9898<\/strong>\uff1a\u65b0\u7528\u6237\u65e0\u884c\u4e3a\u6570\u636e\uff0c\u65b0\u7269\u54c1\u65e0\u7528\u6237\u4ea4\u4e92\uff0c\u4f9d\u8d56\u5927\u91cf\u7528\u6237\u884c\u4e3a\u7684\u7b97\u6cd5\u65e0\u6cd5\u8bad\u7ec3\u6a21\u578b\u3002<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u793e\u4f1a\u7f51\u7edc<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u7531\u8282\u70b9\uff08\u4e2a\u4eba \/ \u7ec4\u7ec7\uff09\u548c\u8fb9\uff08\u5173\u7cfb\uff09\u6784\u6210\u7684\u7f51\u7edc\u7ed3\u6784\uff0c\u5173\u7cfb\u53ef\u4e3a\u670b\u53cb\u3001\u4eb2\u5c5e\u7b49\u3002<\/li>\n\n\n\n<li><strong>\u8868\u793a\u65b9\u6cd5<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u56fe\u65b9\u6cd5<\/strong>\uff1a\u8282\u70b9\u4e3a\u9876\u70b9\uff0c\u8fb9\u4e3a\u8fde\u63a5\u3002<\/li>\n\n\n\n<li><strong>\u90bb\u63a5\u77e9\u9635<\/strong>\uff1a\u65e0\u5411\u7f51\u7edc\u77e9\u9635\u5bf9\u79f0\uff0c\u6709\u5411\u7f51\u7edc\u5982 Twitter \u5173\u6ce8\u5173\u7cfb\u77e9\u9635\u4e0d\u5bf9\u79f0\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u793e\u4f1a\u7f51\u7edc\u7684\u5173\u952e\u7279\u6027<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5c0f\u4e16\u754c\u6548\u5e94<\/strong>\uff1a\u6700\u591a\u53ea\u9700\u89816\u4e2a\u964c\u751f\u4eba\u5c31\u53ef\u4ee5\u548c\u4efb\u4f55\u4e00\u4e2a\u4eba\u8ba4\u8bc6\n<ul class=\"wp-block-list\">\n<li><strong>\u516d\u5ea6\u5206\u79bb\u7406\u8bba<\/strong>\uff1aTravers \u548c Milgram \u5b9e\u9a8c\u53d1\u73b0\u7f8e\u56fd\u4eba\u5e73\u5747\u8def\u5f84\u957f 5.5\uff0cMSN \u7f51\u7edc 1.8 \u4ebf\u8282\u70b9\u5b9e\u9a8c\u5f97\u5e73\u5747\u8def\u5f84\u957f 6.6\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u793e\u533a\u7ed3\u6784<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u805a\u7c7b\u7cfb\u6570<\/strong>\uff1a\u8861\u91cf\u670b\u53cb\u7684\u670b\u53cb\u6210\u4e3a\u670b\u53cb\u7684\u6982\u7387\uff0c\u516c\u5f0f\u4e3a<img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-214.png\" alt=\"\">\uff0c\u5176\u4e2dki\u4e3a\u90bb\u5c45\u95f4\u8fb9\u6570\uff0cdi\u4e3a\u90bb\u5c45\u6570<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7f51\u7edc\u76f4\u5f84<\/strong>\uff1a\u7f51\u7edc\u4e2d\u6240\u6709\u8282\u70b9\u5bf9\u7684\u6700\u5c0f\u8def\u5f84\u957f\u5ea6\u7684\u6700\u5927\u503c\uff0c\u53cd\u6620\u7f51\u7edc\u7684 \u201c\u6700\u5927\u8ddd\u79bb\u201d\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u793e\u533a\u53d1\u73b0\u65b9\u6cd5\u5206\u7c7b<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>\u65b9\u6cd5\u7c7b\u578b<\/strong><\/th><th><strong>\u6838\u5fc3\u601d\u60f3<\/strong><\/th><th><strong>\u5178\u578b\u7b97\u6cd5 \/ \u793a\u4f8b<\/strong><\/th><th><strong>\u7279\u70b9<\/strong><\/th><\/tr><\/thead><tbody><tr><td>\u4ee5\u8282\u70b9\u4e3a\u4e2d\u5fc3<\/td><td>\u57fa\u4e8e\u5b8c\u5168\u5b50\u56fe\uff08\u56e2\uff09<\/td><td>\u56e2\u8fc7\u6ee4CPM \u7b97\u6cd5\uff1a\u679a\u4e3e k \u89c4\u6a21\u56e2\uff0c\u5171\u4eab k-1 \u8282\u70b9\u7684\u56e2\u6784\u6210\u793e\u533a<\/td><td>k=3 \u65f6\uff0c\u56e2 {1,2,3} \u4e0e {1,3,4} \u5171\u4eab 2 \u8282\u70b9\uff0c\u5c5e\u540c\u4e00\u793e\u533a;NP-hard\u95ee\u9898<\/td><\/tr><tr><td>\u4ee5\u7fa4\u7ec4\u4e3a\u4e2d\u5fc3<\/td><td>\u57fa\u4e8e\u5b50\u56fe\u5bc6\u5ea6<\/td><td>\u51c6\u56e2\uff1a\u5141\u8bb8\u90e8\u5206\u8282\u70b9\u4f4e\u8fde\u901a\u6027\uff0c\u03b3=1 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alt=\"\">m\u56fe\u4e2d\u8fb9\u603b\u6570\uff0c<br>\u5bf9\u6bcf\u4e2a\u793e\u533a i\uff1a<br>e<sub>i\u200b<\/sub>\uff1a\u793e\u533a i \u4e2d\u7684<strong>\u5185\u90e8\u8fb9\u7684\u6570\u91cf<\/strong><br>k<sub>Ci\u200b\u200b<\/sub>\uff1a\u793e\u533a i \u4e2d<strong>\u6240\u6709\u8282\u70b9\u7684\u5ea6\u6570\u4e4b\u548c<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u5177\u4f53\u793a\u4f8b\uff1a<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">CMP<\/h5>\n\n\n\n<p>\u793a\u4f8b\uff1ak=3 \u65f6\u7684\u793e\u533a\u53d1\u73b0<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6b65\u9aa4 1\uff1a\u679a\u4e3e k=3 \u7684\u56e2<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u4ece\u7f51\u7edc\u4e2d\u627e\u51fa\u6240\u6709\u89c4\u6a21\u4e3a 3 \u7684\u56e2\uff0c\u4f8b\u5982\uff1a<\/li>\n\n\n\n<li>{1,2,3}\u3001{1,3,4}\u3001{4,5,6}\u3001{5,6,7}\u3001{5,6,8}\u3001{5,7,8}\u3001{6,7,8} \u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6b65\u9aa4 2\uff1a\u6784\u5efa\u56e2\u56fe\u5e76\u5408\u5e76\u793e\u533a<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u82e5\u4e24\u56e2\u5171\u4eab k-1=2 \u4e2a\u8282\u70b9\uff0c\u5219\u89c6\u4e3a\u90bb\u63a5\u3002\u4f8b\u5982\uff1a<\/li>\n\n\n\n<li>\u56e2 {1,2,3} \u4e0e {1,3,4} \u5171\u4eab\u8282\u70b9 {1,3}\uff0c\u5408\u5e76\u4e3a\u793e\u533a {1,2,3,4}\uff1b<\/li>\n\n\n\n<li>\u56e2 {4,5,6} \u4e0e {5,6,7} \u5171\u4eab {5,6}\uff0c\u9010\u6b65\u5408\u5e76\u4e3a {4,5,6,7,8} \u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u6700\u7ec8\u793e\u533a<\/strong>\n<ul class=\"wp-block-list\">\n<li>{1,2,3,4} \u548c {4,5,6,7,8} \u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h5 class=\"wp-block-heading\">\u51c6\u56e2\uff08\u03b3- \u5bc6\u5ea6\u5b50\u56fe\uff09<\/h5>\n\n\n\n<p><strong>\u5b9a\u4e49<\/strong>\uff1a\u5f53 \u03b3=1 \u65f6\uff0c\u51c6\u56e2\u8981\u6c42\u5b50\u56fe\u4e2d\u6bcf\u4e2a\u8282\u70b9\u7684\u5ea6\u6570\u81f3\u5c11\u4e3a (\u03b3\u00d7(\u5b50\u56fe\u8282\u70b9\u6570 &#8211; 1))\uff0c\u5373\u5b8c\u5168\u5b50\u56fe\uff08\u56e2\uff09\u3002<br>\u793a\u4f8b\uff1a\u4e0b\u56fe {4,5,6,7,8} \u662f 5 \u8282\u70b9\u7684\u56e2\uff0c\u4efb\u610f\u4e24\u8282\u70b9\u95f4\u5747\u6709\u8fb9\uff0c\u6ee1\u8db3 \u03b3=1 \u7684\u51c6\u56e2\u5b9a\u4e49 \u3002<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u57fa\u4e8e\u76f8\u4f3c\u6027\u5ea6\u91cf\u7684\u805a\u7c7b<\/h5>\n\n\n\n<p>Jaccard=|A\u2229B| \/ |A\u222aB|<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">\u4ee5\u5c42\u6b21\u4e3a\u4e2d\u5fc3\u7684\u793e\u533a\u53d1\u73b0<\/h5>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<p>\u53c2\u7167\u516c\u5f0f<\/p>\n\n\n\n<p><img decoding=\"async\" src=\"https:\/\/www.haruhi.fans\/wp-content\/uploads\/2025\/06\/image-215.png\" alt=\"\"><\/p>\n<\/div>\n\n\n\n<p>\u5bf9\u4e8e\u5982\u4e0b\u793e\u533a\uff0c\u670913 \u4e2a\u8282\u70b9\u5206\u4e3a 3 \u4e2a\u793e\u533a\uff0c\u8fb9\u6570 23 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