{"id":164,"date":"2014-09-17T23:23:59","date_gmt":"2014-09-17T15:23:59","guid":{"rendered":"http:\/\/xg1990.com\/blog\/?p=164"},"modified":"2016-09-21T07:29:12","modified_gmt":"2016-09-20T23:29:12","slug":"%e5%8a%a0%e6%9d%83%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%92weighted-linear-regression%e7%9a%84%e5%85%ac%e5%bc%8f%e5%8f%8a%e5%85%b6%e6%8e%a8%e7%90%86","status":"publish","type":"post","link":"https:\/\/xg1990.com\/blog\/en\/archives\/164","title":{"rendered":"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406"},"content":{"rendered":"

1.\u52a0\u6743\u7ebf\u6027\u56de\u5f52\u4e0e\u666e\u901a\u7ebf\u6027\u56de\u5f52<\/h1>\n

\u5bf9\u4e8e\u4e00\u7ec4\u6709N\u4e2a\u89c2\u6d4b\u7684\u6570\u636e<\/p>\n

$$(x_i,y_i), i = 1,2,3,4,…, N$$<\/p>\n

\u53ef\u4ee5\u4f7f\u7528\u4e00\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/p>\n

$$y = a x + b + \\epsilon$$<\/span><\/p>\n

\u6765\u62df\u5408 \\(x\\) \u4e0e \\(y\\) \u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5176\u4e2d\u7684\u53c2\u6570 \\(a,b\\) \u901a\u5e38\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u62df\u5408\uff0c\u5373\u5bfb\u627e\u4f7f\u4ee3\u4ef7\u51fd\u6570<\/p>\n

$$J(a,b) = \\frac{1}{N}\\sum^{N}_{i=1}{(y_i-ax_i-b)^2}$$<\/p>\n

\u6700\u5c0f\u7684\\(a,b\\)\uff0c\u4f7f\u5f97\u62df\u5408\u66f2\u7ebf\u5c3d\u53ef\u80fd\u5730\u63a5\u8fd1\u6240\u6709\u7684\u89c2\u6d4b\u70b9\u3002<\/p>\n

\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u89c2\u6d4b\u70b9\u4e4b\u95f4\u53ef\u80fd\u662f\u6709\u5dee\u5f02\u7684\u3002\u6bd4\u5982\uff0c\u6709\u7684\u89c2\u6d4b\u70b9\u8bef\u5dee\u5927\uff0c\u6709\u7684\u89c2\u6d4b\u70b9\u8bef\u5dee\u5c0f\uff0c\u8fd9\u5c31\u9700\u8981\u8ba9\u6211\u4eec\u7684\u62df\u5408\u76f4\u7ebf\\(y=ax+b\\)\uff0c<\/span>\u4e0d\u5fc5\u8003\u8651\u8bef\u5dee\u5927\u7684\u89c2\u6d4b\u70b9\uff0c<\/span>\u800c\u8981\u5c3d\u53ef\u80fd\u903c\u8fd1\u8bef\u5dee\u5c0f\u7684\u89c2\u6d4b\u70b9\u3002<\/span>\u8fd9\u65f6\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e2a\u6743\u91cd\u7cfb\u6570\\(w_i\\)\u6765\u8868\u793a\u7b2c\\(i\\)\u4e2a\u89c2\u6d4b\u70b9\u7684\u6743\u91cd\uff08\u4f8b\u5982\uff0c\u5bf9\u4e8e\u8bef\u5dee\u5c0f\u7684\u89c2\u6d4b\u70b9\uff0c\\(w_i\\)\u7684\u503c\u66f4\u5927\uff09 \u800c\u8003\u8651\u4e86\u8fd9\u4e2a\u6743\u91cd\u7cfb\u6570\\(w_i\\)\u7684\u7ebf\u6027\u56de\u5f52\uff0c\u5c31\u662f\u52a0\u6743\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n

<\/p>\n

\u5b83\u7684\u56de\u5f52\u65b9\u7a0b\u4ecd\u7136\u662f<\/p>\n

$$y = a x + b + \\epsilon$$<\/p>\n

\u552f\u4e00\u533a\u522b\u662f\u4ee3\u4ef7\u51fd\u6570\u53d8\u6210\u4e86<\/p>\n

$$J(a,b) = \\frac{1}{N}\\sum^{N}_{i=1}{w_i(y_i-ax_i-b)^2}$$<\/p>\n

\u8fd9\u6837\uff0c\u5728\u5bfb\u627e\u6700\u4f18\u00a0\\(a,b\\)\u65f6\uff0c\u4f1a\u66f4\u591a\u5730\u8003\u8651\u9ad8\u6743\u91cd\u7684\u89c2\u6d4b\u503c<\/p>\n

2.\u6700\u4f18a,b\u53ca\u5176\u6c42\u89e3<\/h1>\n

\uff08a,b\u6700\u4f18\u89e3\u89c1\u672c\u8282\u6700\u540e\uff09<\/p>\n

\u4ee3\u4ef7\u51fd\u6570<\/p>\n

$$J(a,b) = \\frac{1}{N}\\sum^{N}_{i=1}{w_i(y_i-ax_i-b)^2}$$<\/p>\n

\u662f\u4e00\u4e2a\u666e\u901a\u7684\u4e8c\u5143\u4e8c\u6b21\u51fd\u6570\uff0c\u5206\u522b\u5c06 J(a,b)\u5bf9a\uff0cb\u6c42\u504f\u5fae\u5206\uff0c\u4f7f\u8fd9\u4e24\u4e2a\u504f\u5fae\u5206\u540c\u65f6\u4e3a0 \u7684(a,b)\u5373\u4e3a\u6700\u4f18\u89e3\u3002\u5373\u6c42\u89e3\u65b9\u7a0b\u7ec4<\/p>\n

$$\\frac{\\partial}{\\partial a}{J(a,b)} = 0$$<\/p>\n

$$\\frac{\\partial}{\\partial b}{J(a,b)} = 0$$<\/p>\n

\u5373<\/p>\n

$$\\frac{\\partial}{\\partial a}{J(a,b)} = \\frac{1}{N}[2\\sum^{N}_{i=1}{w_ix_i(y_i-ax_i-b)}] = 0$$<\/p>\n

$$\\frac{\\partial}{\\partial b}{J(a,b)} = \\frac{1}{N}[2\\sum^{N}_{i=1}{w_i(y_i-ax_i-b)}] = 0$$<\/p>\n

\u5373\u53ef\u5f97<\/p>\n

$$\\frac{\\partial}{\\partial a}{J(a,b)} = \\frac{2}{N}[\\sum^{N}_{i=1}{w_ix_iy_i}-a\\sum^{N}_{i=1}{w_ix_ix_i}-b\\sum^{N}_{i=1}{w_ix_i}] = 0$$<\/p>\n

$$\\frac{\\partial}{\\partial b}{J(a,b)} = \\frac{2}{N}[\\sum^{N}_{i=1}{w_iy_i}-a\\sum^{N}_{i=1}{w_ix_i}-b\\sum^{N}_{i=1}{w_i}] = 0$$<\/p>\n

\u4e3a\u7b80\u5316\u63cf\u8ff0\uff0c\u5b9a\u4e49\u4ee5\u4e0b\u7b26\u53f7<\/p>\n

$$(\\overline{wxy}) = \\sum^{N}_{i=1}{w_ix_iy_i}$$<\/p>\n

$$(\\overline{wxx}) = \\sum^{N}_{i=1}{w_ix_ix_i}$$<\/p>\n

$$(\\overline{wx}) = \\sum^{N}_{i=1}{w_ix_i}$$<\/p>\n

$$(\\overline{wy}) = \\sum^{N}_{i=1}{w_iy_i}$$<\/p>\n

$$(\\overline{w} )= \\sum^{N}_{i=1}{w_i}$$<\/p>\n

\u7531\u4e8eN\u4e3a\u89c2\u6d4b\u6570\uff0c\u4e0d\u4f1a\u4e3a0\uff0c\u5219\u6709<\/p>\n

$$a(\\overline{wxx}) + b(\\overline{wx}) = (\\overline{wxy})$$<\/p>\n

$$a(\\overline{wx}) + b(\\overline{w}) = (\\overline{wy})$$<\/p>\n

\u89e3\u8fd9\u4e2a\u4ee5a,b\u4e3a\u672a\u77e5\u6570\u7684\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\uff0c\u53ef\u5f97<\/p>\n

$$a = \\frac{(\\overline{wxy}) – \\frac{(\\overline{wy})(\\overline{wx})}{\\overline{w}}}{ (\\overline{wxx}) – \\frac{(\\overline{wx})(\\overline{wx})}{(\\overline{w})} }$$<\/p>\n

$$b = \\frac{(\\overline{wy}) – a(\\overline{wx})}{(\\overline{w})}$$<\/p>\n

\u5982\u679c\u4ee4\\(w_i=1\\)\uff0c\u5219\u4ee5\u4e0a\u516c\u5f0f\u4e0e\u666e\u901a\u7ebf\u6027\u56de\u5f52\u53c2\u6570\u4f30\u8ba1\u516c\u5f0f\u76f8\u540c<\/p>\n

3.\\(R^2\\)\u4e0eF\u68c0\u9a8c<\/h1>\n

\u5bf9\u4e8e\u666e\u901a\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\\(R^2\\)\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n

$$R^2 =1 – \\frac{\\sum^{N}_{i=1}{(y_i – ax_i – b)^2}} {\\sum^{N}_{i=1}{(y_i – \\frac{1}{N}\\sum^{N}_{j=1}{y_j})}^2}$$<\/p>\n

\u5bf9\u5e94\u7684\uff0c\u52a0\u5165\u6743\u91cd\u540e\uff0c\u5c31\u53ef\u5f97\u5230\u52a0\u6743\u56de\u5f52\u6a21\u578b\u7684\\(R^2\\)\u8ba1\u7b97\u516c\u5f0f<\/p>\n

$$R^2 =1 – \\frac{\\sum^{N}_{i=1}{w_i(y_i – ax_i – b)^2}} {\\sum^{N}_{i=1}{w_i(y_i – \\frac{1}{N}\\sum^{N}_{j=1}{y_j})}^2}$$<\/p>\n

\u76f8\u5e94\u7684F\u7edf\u8ba1\u91cf\u8ba1\u7b97\u516c\u5f0f\u4ecd\u4e3a<\/p>\n

$$F = \\frac{R^2 \/ k}{(1-R^2)\/(N-k-1)}$$<\/p>\n

\u5176\u4e2dk\u4e3a\u56de\u5f52\u6a21\u578b\u81ea\u53d8\u91cf\u4e2a\u6570\uff0c\u5bf9\u4e8e\u4e00\u5143\u56de\u5f52k=1\u3002\u5c06\u8ba1\u7b97\u5f97\u5230\u7684F\u503c\u5e26\u5165 F(k,N-k-1)\u5206\u5e03\u4e2d\u68c0\u9a8c\u5373\u53ef\u5f97\u5230\u5176\u663e\u8457\u6027p\u503c<\/p>\n","protected":false},"excerpt":{"rendered":"

1.\u52a0\u6743\u7ebf\u6027\u56de\u5f52\u4e0e\u666e\u901a\u7ebf\u6027\u56de\u5f52 \u5bf9\u4e8e\u4e00\u7ec4\u6709N\u4e2a\u89c2\u6d4b\u7684\u6570\u636e $$(x_i,y_i), i = 1,2,3,4,…, N$$ \u53ef\u4ee5\u4f7f\u7528\u4e00\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b $$y = a x + b + \\epsilon$$ \u6765\u62df\u5408 \\(x\\) \u4e0e \\(y\\) \u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5176\u4e2d\u7684\u53c2\u6570 \\(a,b\\) \u901a\u5e38\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u62df\u5408\uff0c\u5373\u5bfb\u627e\u4f7f\u4ee3\u4ef7\u51fd\u6570 $$J(a,b) = \\frac{1}{N}\\sum^{N}_{i=1}{(y_i-ax_i-b)^2}$$ \u6700\u5c0f\u7684\\(a,b\\)\uff0c\u4f7f\u5f97\u62df\u5408\u66f2\u7ebf\u5c3d\u53ef\u80fd\u5730\u63a5\u8fd1\u6240\u6709\u7684\u89c2\u6d4b\u70b9\u3002 \u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u89c2\u6d4b\u70b9\u4e4b\u95f4\u53ef\u80fd\u662f\u6709\u5dee\u5f02\u7684\u3002\u6bd4\u5982\uff0c\u6709\u7684\u89c2\u6d4b\u70b9\u8bef\u5dee\u5927\uff0c\u6709\u7684\u89c2\u6d4b\u70b9\u8bef\u5dee\u5c0f\uff0c\u8fd9\u5c31\u9700\u8981\u8ba9\u6211\u4eec\u7684\u62df\u5408\u76f4\u7ebf\\(y=ax+b\\)\uff0c\u4e0d\u5fc5\u8003\u8651\u8bef\u5dee\u5927\u7684\u89c2\u6d4b\u70b9\uff0c\u800c\u8981\u5c3d\u53ef\u80fd\u903c\u8fd1\u8bef\u5dee\u5c0f\u7684\u89c2\u6d4b\u70b9\u3002\u8fd9\u65f6\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e2a\u6743\u91cd\u7cfb\u6570\\(w_i\\)\u6765\u8868\u793a\u7b2c\\(i\\)\u4e2a\u89c2\u6d4b\u70b9\u7684\u6743\u91cd\uff08\u4f8b\u5982\uff0c\u5bf9\u4e8e\u8bef\u5dee\u5c0f\u7684\u89c2\u6d4b\u70b9\uff0c\\(w_i\\)\u7684\u503c\u66f4\u5927\uff09 \u800c\u8003\u8651\u4e86\u8fd9\u4e2a\u6743\u91cd\u7cfb\u6570\\(w_i\\)\u7684\u7ebf\u6027\u56de\u5f52\uff0c\u5c31\u662f\u52a0\u6743\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":""},"categories":[3,1],"tags":[13,10],"translation":{"provider":"WPGlobus","version":"3.0.1","language":"en","enabled_languages":["zh","en"],"languages":{"zh":{"title":true,"content":true,"excerpt":false},"en":{"title":false,"content":false,"excerpt":false}}},"yoast_head":"\n\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406 - xg1990<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/xg1990.com\/blog\/archives\/164\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406 - xg1990\" \/>\n<meta property=\"og:url\" content=\"https:\/\/xg1990.com\/blog\/archives\/164\" \/>\n<meta property=\"og:site_name\" content=\"xg1990\" \/>\n<meta property=\"article:published_time\" content=\"2014-09-17T15:23:59+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2016-09-20T23:29:12+00:00\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"xg1990\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/xg1990.com\/blog\/#website\",\"url\":\"https:\/\/xg1990.com\/blog\/\",\"name\":\"xg1990\",\"description\":\"\u5730\u7406\u5708\u7684\u7801\u519c\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/xg1990.com\/blog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/xg1990.com\/blog\/archives\/164#webpage\",\"url\":\"https:\/\/xg1990.com\/blog\/archives\/164\",\"name\":\"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406 - xg1990\",\"isPartOf\":{\"@id\":\"https:\/\/xg1990.com\/blog\/#website\"},\"datePublished\":\"2014-09-17T15:23:59+00:00\",\"dateModified\":\"2016-09-20T23:29:12+00:00\",\"author\":{\"@id\":\"https:\/\/xg1990.com\/blog\/#\/schema\/person\/774c05a86b0a61bb8ff633749c59fa8f\"},\"breadcrumb\":{\"@id\":\"https:\/\/xg1990.com\/blog\/archives\/164#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/xg1990.com\/blog\/archives\/164\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/xg1990.com\/blog\/archives\/164#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/xg1990.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406\"}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/xg1990.com\/blog\/#\/schema\/person\/774c05a86b0a61bb8ff633749c59fa8f\",\"name\":\"xg1990\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/xg1990.com\/blog\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/2d326d725f277a38a498575f23200141?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/2d326d725f277a38a498575f23200141?s=96&d=mm&r=g\",\"caption\":\"xg1990\"},\"url\":\"https:\/\/xg1990.com\/blog\/en\/archives\/author\/xg1990\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406 - xg1990","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/xg1990.com\/blog\/archives\/164","og_locale":"en_US","og_type":"article","og_title":"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406 - xg1990","og_url":"https:\/\/xg1990.com\/blog\/archives\/164","og_site_name":"xg1990","article_published_time":"2014-09-17T15:23:59+00:00","article_modified_time":"2016-09-20T23:29:12+00:00","twitter_misc":{"Written by":"xg1990","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/xg1990.com\/blog\/#website","url":"https:\/\/xg1990.com\/blog\/","name":"xg1990","description":"\u5730\u7406\u5708\u7684\u7801\u519c","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/xg1990.com\/blog\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/xg1990.com\/blog\/archives\/164#webpage","url":"https:\/\/xg1990.com\/blog\/archives\/164","name":"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406 - xg1990","isPartOf":{"@id":"https:\/\/xg1990.com\/blog\/#website"},"datePublished":"2014-09-17T15:23:59+00:00","dateModified":"2016-09-20T23:29:12+00:00","author":{"@id":"https:\/\/xg1990.com\/blog\/#\/schema\/person\/774c05a86b0a61bb8ff633749c59fa8f"},"breadcrumb":{"@id":"https:\/\/xg1990.com\/blog\/archives\/164#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/xg1990.com\/blog\/archives\/164"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/xg1990.com\/blog\/archives\/164#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/xg1990.com\/blog\/"},{"@type":"ListItem","position":2,"name":"\u52a0\u6743\u7ebf\u6027\u56de\u5f52(Weighted Linear Regression)\u7684\u516c\u5f0f\u53ca\u5176\u63a8\u7406"}]},{"@type":"Person","@id":"https:\/\/xg1990.com\/blog\/#\/schema\/person\/774c05a86b0a61bb8ff633749c59fa8f","name":"xg1990","image":{"@type":"ImageObject","@id":"https:\/\/xg1990.com\/blog\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/2d326d725f277a38a498575f23200141?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/2d326d725f277a38a498575f23200141?s=96&d=mm&r=g","caption":"xg1990"},"url":"https:\/\/xg1990.com\/blog\/en\/archives\/author\/xg1990"}]}},"_links":{"self":[{"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/posts\/164"}],"collection":[{"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/comments?post=164"}],"version-history":[{"count":16,"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/posts\/164\/revisions"}],"predecessor-version":[{"id":188,"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/posts\/164\/revisions\/188"}],"wp:attachment":[{"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/media?parent=164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/categories?post=164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xg1990.com\/blog\/en\/wp-json\/wp\/v2\/tags?post=164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}