{"id":3606,"date":"2023-07-16T14:11:02","date_gmt":"2023-07-16T14:11:02","guid":{"rendered":"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/"},"modified":"2023-07-16T14:11:02","modified_gmt":"2023-07-16T14:11:02","slug":"escalonamento-multidimensional-em-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/","title":{"rendered":"Como realizar escalonamento multidimensional em python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Em estat\u00edstica, <strong>o escalonamento multidimensional<\/strong> \u00e9 uma forma de visualizar a similaridade de observa\u00e7\u00f5es em um conjunto de dados em um espa\u00e7o cartesiano abstrato (geralmente espa\u00e7o 2D).<\/span><\/p>\n<p> <span style=\"color: #000000;\">A maneira mais f\u00e1cil de realizar o escalonamento multidimensional em Python \u00e9 usar a fun\u00e7\u00e3o <strong>MDS()<\/strong> do subm\u00f3dulo <strong>sklearn.manifold<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">O exemplo a seguir mostra como usar esta fun\u00e7\u00e3o na pr\u00e1tica.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo: escalonamento multidimensional em Python<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte DataFrame do pandas que cont\u00e9m informa\u00e7\u00f5es sobre v\u00e1rios jogadores de basquete:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create DataFrane\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">player<\/span> ': ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K '],\n                   ' <span style=\"color: #ff0000;\">points<\/span> ': [4, 4, 6, 7, 8, 14, 16, 19, 25, 25, 28],\n                   ' <span style=\"color: #ff0000;\">assists<\/span> ': [3, 2, 2, 5, 4, 8, 7, 6, 8, 10, 11],\n                   ' <span style=\"color: #ff0000;\">blocks<\/span> ': [7, 3, 6, 7, 5, 8, 8, 4, 2, 2, 1],\n                   ' <span style=\"color: #ff0000;\">rebounds<\/span> ': [4, 5, 5, 6, 5, 8, 10, 4, 3, 2, 2]})\n\n<span style=\"color: #008080;\">#set player column as index column\n<\/span>df = df. <span style=\"color: #3366ff;\">set_index<\/span> (' <span style=\"color: #ff0000;\">player<\/span> ')\n\n<span style=\"color: #008080;\">#view Dataframe\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n        points assists blocks rebounds\nplayer                                   \nA 4 3 7 4\nB 4 2 3 5\nC 6 2 6 5\nD 7 5 7 6\nE 8 4 5 5\nF 14 8 8 8\nG 16 7 8 10\nH 19 6 4 4\nI 25 8 2 3\nD 25 10 2 2\nK 28 11 1 2\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos usar o c\u00f3digo a seguir para realizar o escalonamento multidimensional com a fun\u00e7\u00e3o <strong>MDS()<\/strong> do m\u00f3dulo <strong>sklearn.manifold<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">manifold<\/span> <span style=\"color: #008000;\">import<\/span> MDS\n\n<span style=\"color: #008080;\">#perform multi-dimensional scaling\n<\/span>mds = MDS(random_state= <span style=\"color: #008000;\">0<\/span> )\nscaled_df = mds. <span style=\"color: #3366ff;\">fit_transform<\/span> (df)\n\n<span style=\"color: #008080;\">#view results of multi-dimensional scaling\n<\/span><span style=\"color: #008000;\">print<\/span> (scaled_df)\n\n[[ 7.43654469 8.10247222]\n [4.13193821 10.27360901]\n [5.20534681 7.46919526]\n [6.22323046 4.45148627]\n [3.74110999 5.25591459]\n [3.69073384 -2.88017811]\n [3.89092087 -5.19100988]\n [ -3.68593169 -3.0821144 ]\n [ -9.13631889 -6.81016012]\n [ -8.97898385 -8.50414387]\n [-12.51859044 -9.08507097]]<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Cada linha do DataFrame original foi reduzida a uma coordenada (x, y).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar o seguinte c\u00f3digo para visualizar essas coordenadas no espa\u00e7o 2D:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> matplotlib.pyplot <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plt. <span style=\"color: #3366ff;\">scatter<\/span> (scaled_df[:,0], scaled_df[:,1])\n\n<span style=\"color: #008080;\">#add axis labels\n<\/span>plt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #ff0000;\">Coordinate 1<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #ff0000;\">Coordinate 2<\/span> ')\n\n<span style=\"color: #008080;\">#add lables to each point\n<\/span><span style=\"color: #008000;\">for<\/span> i, txt <span style=\"color: #008000;\">in<\/span> enumerate( <span style=\"color: #3366ff;\">df.index<\/span> ):\n    plt. <span style=\"color: #3366ff;\">annotate<\/span> (txt, (scaled_df[:,0][i]+.3, scaled_df[:,1][i]))\n\n<span style=\"color: #008080;\">#display scatterplot\n<\/span>plt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-29710\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mds2.jpg\" alt=\"escalonamento multidimensional em Python\" width=\"596\" height=\"432\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Os jogadores no DataFrame original que possuem valores semelhantes nas quatro colunas originais (pontos, assist\u00eancias, bloqueios e rebotes) est\u00e3o pr\u00f3ximos uns dos outros no gr\u00e1fico.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, os jogadores <strong>F<\/strong> e <strong>G<\/strong> est\u00e3o fechados entre si. Aqui est\u00e3o os valores do DataFrame original:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#select rows with index labels 'F' and 'G'\n<span style=\"color: #000000;\">df. <span style=\"color: #3366ff;\">loc<\/span> [[' <span style=\"color: #ff0000;\">F<\/span> ',' <span style=\"color: #ff0000;\">G<\/span> ']]\n\n        points assists blocks rebounds\nplayer\t\t\t\t\nF 14 8 8 8\nG 16 7 8 10\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Seus valores de pontos, assist\u00eancias, bloqueios e rebotes s\u00e3o todos bastante semelhantes, o que explica por que est\u00e3o t\u00e3o pr\u00f3ximos uns dos outros no gr\u00e1fico 2D.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Em contraste, considere os jogadores <strong>B<\/strong> e <strong>K<\/strong> que est\u00e3o distantes um do outro na trama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Se nos referirmos aos seus valores no DataFrame original, podemos ver que eles s\u00e3o bem diferentes:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#select rows with index labels 'B' and 'K'\n<span style=\"color: #000000;\">df. <span style=\"color: #3366ff;\">loc<\/span> [[' <span style=\"color: #ff0000;\">B<\/span> ',' <span style=\"color: #ff0000;\">K<\/span> ']]<\/span><\/span>\n\n        points assists blocks rebounds\nplayer\t\t\t\t\nB 4 2 3 5\nK 28 11 1 2<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Portanto, o gr\u00e1fico 2D \u00e9 uma boa maneira de visualizar o qu\u00e3o semelhante cada jogador \u00e9 em todas as vari\u00e1veis do DataFframe.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jogadores com estat\u00edsticas semelhantes s\u00e3o agrupados pr\u00f3ximos, enquanto jogadores com estat\u00edsticas muito diferentes est\u00e3o mais distantes uns dos outros na trama.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como realizar outras tarefas comuns em Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/normalizar-dados-em-python\/\" target=\"_blank\" rel=\"noopener\">Como normalizar dados em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/remover-valores-discrepantes-python\/\" target=\"_blank\" rel=\"noopener\">Como remover valores discrepantes em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/teste-de-normalidade-python\/\" target=\"_blank\" rel=\"noopener\">Como testar a normalidade em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Em estat\u00edstica, o escalonamento multidimensional \u00e9 uma forma de visualizar a similaridade de observa\u00e7\u00f5es em um conjunto de dados em um espa\u00e7o cartesiano abstrato (geralmente espa\u00e7o 2D). A maneira mais f\u00e1cil de realizar o escalonamento multidimensional em Python \u00e9 usar a fun\u00e7\u00e3o MDS() do subm\u00f3dulo sklearn.manifold . O exemplo a seguir mostra como usar esta [&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-3606","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 fazer escalonamento multidimensional em Python - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como realizar escalonamento multidimensional em Python, com um exemplo.\" \/>\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\/escalonamento-multidimensional-em-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como fazer escalonamento multidimensional em Python - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como realizar escalonamento multidimensional em Python, com um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-16T14:11:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mds2.jpg\" \/>\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=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/\",\"name\":\"Como fazer escalonamento multidimensional em Python - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-16T14:11:02+00:00\",\"dateModified\":\"2023-07-16T14:11:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como realizar escalonamento multidimensional em Python, com um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/escalonamento-multidimensional-em-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como realizar escalonamento multidimensional em python\"}]},{\"@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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