{"id":1250,"date":"2023-07-27T03:27:10","date_gmt":"2023-07-27T03:27:10","guid":{"rendered":"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/"},"modified":"2023-07-27T03:27:10","modified_gmt":"2023-07-27T03:27:10","slug":"distancia-de-minkowski-em-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/","title":{"rendered":"Como calcular a dist\u00e2ncia de minkowski em r (com exemplos)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A <strong>dist\u00e2ncia de Minkowski<\/strong> entre dois vetores, <em>A<\/em> e <em>B<\/em> , \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">(\u03a3|a <sub>i<\/sub> \u2013 b <sub>i<\/sub> | <sup>p<\/sup> ) <sup>1\/p<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">onde <em>i<\/em> \u00e9 o i- <sup>\u00e9simo<\/sup> elemento de cada vetor e <em>p<\/em> \u00e9 um n\u00famero inteiro.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Essa dist\u00e2ncia \u00e9 usada para medir a dissimilaridade entre quaisquer dois vetores e \u00e9 comumente usada em muitos <a href=\"https:\/\/statorials.org\/pt\/estatologia-explica-conceitos-de-forma-simples-e-direta-facilitamos-o-aprendizado-de-estatistica\/\" target=\"_blank\" rel=\"noopener noreferrer\">algoritmos de aprendizado de m\u00e1quina<\/a> diferentes.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para calcular a dist\u00e2ncia de Minkowski entre vetores em R, podemos usar a fun\u00e7\u00e3o <strong>dist()<\/strong> integrada com a seguinte sintaxe:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>d <span style=\"color: #000000;\">ist(x, m\u00e9todo=\u201dminkowski\u201d, p)<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> uma matriz digital ou quadro de dados.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> O poder a ser usado no c\u00e1lculo da dist\u00e2ncia de Minkowski.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Observe que definir p = 1 equivale ao c\u00e1lculo da <a href=\"https:\/\/statorials.org\/pt\/distancia-de-manhattan-em-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">dist\u00e2ncia de Manhattan<\/a> e definir p = 2 equivale ao c\u00e1lculo da <a href=\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">dist\u00e2ncia euclidiana<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial fornece alguns exemplos de como usar esse recurso na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: Dist\u00e2ncia de Minkowski entre dois vetores<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como usar a fun\u00e7\u00e3o <strong>dist()<\/strong> para calcular a dist\u00e2ncia de Minkowski entre dois vetores em R, usando uma pot\u00eancia de p = 3:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define two vectors\n<\/span>a &lt;- c(2, 4, 4, 6)\nb &lt;- c(5, 5, 7, 8)\n\n<span style=\"color: #008080;\">#bind the two vectors into a single matrix<\/span>\nmat &lt;- rbind(a, b)\n\n<span style=\"color: #008080;\">#calculate Minkowski distance between vectors using a power of 3\n<span style=\"color: #000000;\">dist(mat, method=\" <span style=\"color: #008000;\">minkowski<\/span> \", p= <span style=\"color: #008000;\">3<\/span> )\n<\/span>\n<span style=\"color: #000000;\">has\nb 3.979057<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski (usando uma pot\u00eancia de p = 3) entre esses dois vetores \u00e9 <strong>3,979057<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: Dist\u00e2ncia de Minkowski entre vetores em uma matriz<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Para calcular a dist\u00e2ncia de Minkowski entre v\u00e1rios vetores em uma matriz, podemos usar uma sintaxe semelhante em R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create four vectors<\/span>\na &lt;- c(2, 4, 4, 6)\n\nb &lt;- c(5, 5, 7, 8)\n\nc &lt;- c(9, 9, 9, 8)\n\nd &lt;- c(1, 2, 3, 3)\n\n<span style=\"color: #008080;\">#bind vectors into one matrix\n<\/span>mat &lt;- rbind(a, b, c, d)\n\n<span style=\"color: #008080;\">#calculate Minkowski distance between vectors using a power of 3\n<\/span>dist(mat, method = \u201c <span style=\"color: #008000;\">minkowski<\/span> \u201d, p= <span style=\"color: #008000;\">3<\/span> )\n\n          ABC\nb 3.979057                    \nc 8.439010 5.142563          \nd 3.332222 6.542133 10.614765\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A maneira de interpretar esta sa\u00edda \u00e9:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski entre os vetores <em>a<\/em> e <em>b<\/em> \u00e9 <strong>3,98<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski entre os vetores <em>a<\/em> e <em>c<\/em> \u00e9 <strong>8,43<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski entre os vetores <em>a<\/em> e <em>d<\/em> \u00e9 <strong>3,33<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski entre os vetores <em>b<\/em> e <em>c<\/em> \u00e9 <strong>5,14<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski entre os vetores <em>b<\/em> e <em>d<\/em> \u00e9 <strong>6,54<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">A dist\u00e2ncia de Minkowski entre os vetores <em>c<\/em> e <em>d<\/em> \u00e9 <strong>10,61<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Observe que cada vetor na matriz deve ter o mesmo comprimento.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Como calcular a dist\u00e2ncia euclidiana em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-de-hamming-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular a dist\u00e2ncia de Hamming em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-de-manhattan-em-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Como calcular a dist\u00e2ncia de Manhattan em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-mahalanobis-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Como calcular a dist\u00e2ncia de Mahalanobis em R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A dist\u00e2ncia de Minkowski entre dois vetores, A e B , \u00e9 calculada da seguinte forma: (\u03a3|a i \u2013 b i | p ) 1\/p onde i \u00e9 o i- \u00e9simo elemento de cada vetor e p \u00e9 um n\u00famero inteiro. Essa dist\u00e2ncia \u00e9 usada para medir a dissimilaridade entre quaisquer dois vetores e \u00e9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1250","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como calcular a dist\u00e2ncia de Minkowski em R (com exemplos)<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como calcular a dist\u00e2ncia de Minkowski em R, com exemplos.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como calcular a dist\u00e2ncia de Minkowski em R (com exemplos)\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como calcular a dist\u00e2ncia de Minkowski em R, com exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T03:27:10+00:00\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/\",\"url\":\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/\",\"name\":\"Como calcular a dist\u00e2ncia de Minkowski em R (com exemplos)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-27T03:27:10+00:00\",\"dateModified\":\"2023-07-27T03:27:10+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como calcular a dist\u00e2ncia de Minkowski em R, com exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como calcular a dist\u00e2ncia de minkowski em r (com exemplos)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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