{"id":4061,"date":"2023-07-13T20:58:15","date_gmt":"2023-07-13T20:58:15","guid":{"rendered":"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/"},"modified":"2023-07-13T20:58:15","modified_gmt":"2023-07-13T20:58:15","slug":"metodo-cotovelo-em-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/","title":{"rendered":"Como usar o m\u00e9todo elbow em python para encontrar clusters ideais"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Um dos algoritmos de clustering mais comuns em <a href=\"https:\/\/statorials.org\/pt\/estatologia-explica-conceitos-de-forma-simples-e-direta-facilitamos-o-aprendizado-de-estatistica\/\" target=\"_blank\" rel=\"noopener\">aprendizado de m\u00e1quina<\/a> \u00e9 conhecido como <strong>clustering k-means<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">O agrupamento K-means \u00e9 uma t\u00e9cnica na qual colocamos cada observa\u00e7\u00e3o de um conjunto de dados em um dos <em>K<\/em> clusters.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O objetivo final \u00e9 ter <em>K<\/em> clusters nos quais as observa\u00e7\u00f5es dentro de cada cluster sejam bastante semelhantes entre si, enquanto as observa\u00e7\u00f5es em diferentes clusters sejam bastante diferentes umas das outras.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ao fazer clustering k-means, o primeiro passo \u00e9 escolher um valor para <em>K<\/em> \u2013 o n\u00famero de clusters nos quais queremos colocar as observa\u00e7\u00f5es.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uma das maneiras mais comuns de escolher um valor para <em>K<\/em> \u00e9 conhecida como <strong>m\u00e9todo do cotovelo<\/strong> , que envolve a cria\u00e7\u00e3o de um gr\u00e1fico com o n\u00famero de clusters no eixo x e o total na soma dos quadrados no eixo y e, em seguida, identificar onde aparece um \u201cjoelho\u201d ou giro na trama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O ponto no eixo x onde ocorre o \u201cjoelho\u201d nos indica o n\u00famero ideal de clusters a serem usados no algoritmo de agrupamento k-means.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O exemplo a seguir mostra como usar o m\u00e9todo cotovelo em Python.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Passo 1: Importe os m\u00f3dulos necess\u00e1rios<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Primeiro, importaremos todos os m\u00f3dulos necess\u00e1rios para realizar o clustering k-means:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n<span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">cluster<\/span> <span style=\"color: #008000;\">import<\/span> KMeans\n<span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">preprocessing<\/span> <span style=\"color: #008000;\">import<\/span> StandardScaler<\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 2: Crie o DataFrame<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A seguir, criaremos um DataFrame contendo tr\u00eas vari\u00e1veis para 20 jogadores de basquete diferentes:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">points<\/span> ': [18, np.nan, 19, 14, 14, 11, 20, 28, 30, 31,\n                              35, 33, 29, 25, 25, 27, 29, 30, 19, 23],\n                   ' <span style=\"color: #ff0000;\">assists<\/span> ': [3, 3, 4, 5, 4, 7, 8, 7, 6, 9, 12, 14,\n                               np.nan, 9, 4, 3, 4, 12, 15, 11],\n                   ' <span style=\"color: #ff0000;\">rebounds<\/span> ': [15, 14, 14, 10, 8, 14, 13, 9, 5, 4,\n                                11, 6, 5, 5, 3, 8, 12, 7, 6, 5]})\n\n<span style=\"color: #008080;\">#drop rows with NA values in any columns\n<span style=\"color: #000000;\">df = df. <span style=\"color: #3366ff;\">dropna<\/span> ()<\/span>\n\n#create scaled DataFrame where each variable has mean of 0 and standard dev of 1\n<span style=\"color: #000000;\">scaled_df = StandardScaler(). <span style=\"color: #3366ff;\">fit_transform<\/span> (df)\n<\/span><\/span><\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 3: use o m\u00e9todo Elbow para encontrar o n\u00famero ideal de clusters<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Digamos que queremos usar clustering k-means para agrupar atores semelhantes com base nessas tr\u00eas m\u00e9tricas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para realizar clustering k-means em Python, podemos usar a fun\u00e7\u00e3o <a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.cluster.KMeans.html\" target=\"_blank\" rel=\"noopener\">KMeans<\/a> do m\u00f3dulo <strong>sklearn<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">O argumento mais importante para esta fun\u00e7\u00e3o \u00e9 <strong>n_clusters<\/strong> , que especifica em quantos clusters colocar as observa\u00e7\u00f5es.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para determinar o n\u00famero ideal de clusters, criaremos um gr\u00e1fico que exibe o n\u00famero de clusters, bem como o SSE (soma dos erros quadr\u00e1ticos) do modelo.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Procuraremos ent\u00e3o um \u201cjoelho\u201d onde a soma dos quadrados come\u00e7a a \u201cdobrar\u201d ou estabilizar. Este ponto representa o n\u00famero ideal de clusters.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como criar esse tipo de gr\u00e1fico que exibe o n\u00famero de clusters no eixo x e o SSE no eixo y:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#initialize kmeans parameters\n<\/span>kmeans_kwargs = {\n\" <span style=\"color: #ff0000;\">init<\/span> \": \" <span style=\"color: #ff0000;\">random<\/span> \",\n\" <span style=\"color: #ff0000;\">n_init<\/span> \": 10,\n\" <span style=\"color: #ff0000;\">random_state<\/span> \": 1,\n}\n\n<span style=\"color: #008080;\">#create list to hold SSE values for each k\n<\/span>sse = []\n<span style=\"color: #008000;\">for<\/span> k <span style=\"color: #008000;\">in<\/span> range(1, 11):\n    kmeans = KMeans(n_clusters=k, <span style=\"color: #800080;\">**<\/span> kmeans_kwargs)\n    kmeans. <span style=\"color: #3366ff;\">fit<\/span> (scaled_df)\n    sse. <span style=\"color: #3366ff;\">append<\/span> (kmeans.inertia_)\n\n<span style=\"color: #008080;\">#visualize results\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (range(1, 11), sse)\nplt. <span style=\"color: #3366ff;\">xticks<\/span> (range(1, 11))\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (\" <span style=\"color: #ff0000;\">Number of Clusters<\/span> \")\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (\u201c <span style=\"color: #ff0000;\">SSE<\/span> \u201d)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29557 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kmmoyenne1.jpg\" alt=\"\" width=\"531\" height=\"408\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Neste gr\u00e1fico, parece que h\u00e1 uma tor\u00e7\u00e3o ou \u201cjoelho\u201d em k = <strong>3 clusters<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Portanto, usaremos 3 clusters ao ajustar nosso modelo de cluster k-means na pr\u00f3xima etapa.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Etapa 4: realizar clustering K-Means com <em>K<\/em> ideal<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como realizar clustering k-means no conjunto de dados usando o valor ideal para <em>k<\/em> de 3:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#instantiate the k-means class, using optimal number of clusters\n<\/span>kmeans = KMeans(init=\" <span style=\"color: #ff0000;\">random<\/span> \", n_clusters= <span style=\"color: #008000;\">3<\/span> , n_init= <span style=\"color: #008000;\">10<\/span> , random_state= <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#fit k-means algorithm to data\n<\/span>kmeans. <span style=\"color: #3366ff;\">fit<\/span> (scaled_df)\n\n<span style=\"color: #008080;\">#view cluster assignments for each observation\n<\/span>kmeans. <span style=\"color: #3366ff;\">labels_\n\n<\/span>array([1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0]) \n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A tabela resultante mostra as atribui\u00e7\u00f5es de cluster para cada observa\u00e7\u00e3o no DataFrame.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para facilitar a interpreta\u00e7\u00e3o desses resultados, podemos adicionar uma coluna ao DataFrame que mostra a atribui\u00e7\u00e3o de cluster de cada jogador:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#append cluster assingments to original DataFrame\n<\/span>df[' <span style=\"color: #ff0000;\">cluster<\/span> '] = kmeans. <span style=\"color: #3366ff;\">labels_<\/span>\n\n<span style=\"color: #008080;\">#view updated DataFrame\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n<\/span><\/span>points assists rebounds cluster\n0 18.0 3.0 15 1\n2 19.0 4.0 14 1\n3 14.0 5.0 10 1\n4 14.0 4.0 8 1\n5 11.0 7.0 14 1\n6 20.0 8.0 13 1\n7 28.0 7.0 9 2\n8 30.0 6.0 5 2\n9 31.0 9.0 4 0\n10 35.0 12.0 11 0\n11 33.0 14.0 6 0\n13 25.0 9.0 5 0\n14 25.0 4.0 3 2\n15 27.0 3.0 8 2\n16 29.0 4.0 12 2\n17 30.0 12.0 7 0\n18 19.0 15.0 6 0\n19 23.0 11.0 5 0\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A coluna do <strong>cluster<\/strong> cont\u00e9m um n\u00famero de cluster (0, 1 ou 2) ao qual cada jogador foi atribu\u00eddo.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jogadores pertencentes ao mesmo cluster possuem valores aproximadamente semelhantes para as colunas <strong>de pontos<\/strong> , <strong>assist\u00eancias<\/strong> e <strong>rebotes<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Nota<\/strong> : Voc\u00ea pode encontrar a documenta\u00e7\u00e3o completa da fun\u00e7\u00e3o <strong>KMeans<\/strong> do <strong>sklearn<\/strong> <a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.cluster.KMeans.html\" target=\"_blank\" rel=\"noopener\">aqui<\/a> .<\/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\/regressao-linear-python\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o linear em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/regressao-logistica-python\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o log\u00edstica em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/validacao-cruzada-k-fold-em-python\/\" target=\"_blank\" rel=\"noopener\">Como realizar a valida\u00e7\u00e3o cruzada K-Fold em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um dos algoritmos de clustering mais comuns em aprendizado de m\u00e1quina \u00e9 conhecido como clustering k-means . O agrupamento K-means \u00e9 uma t\u00e9cnica na qual colocamos cada observa\u00e7\u00e3o de um conjunto de dados em um dos K clusters. O objetivo final \u00e9 ter K clusters nos quais as observa\u00e7\u00f5es dentro de cada cluster sejam bastante [&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-4061","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 usar o m\u00e9todo Elbow em Python para encontrar clusters ideais - Statorials<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como usar o m\u00e9todo Elbow em Python para encontrar o n\u00famero ideal de clusters a serem usados em um algoritmo de cluster.\" \/>\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\/metodo-cotovelo-em-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como usar o m\u00e9todo Elbow em Python para encontrar clusters ideais - Statorials\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como usar o m\u00e9todo Elbow em Python para encontrar o n\u00famero ideal de clusters a serem usados em um algoritmo de cluster.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-13T20:58:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kmmoyenne1.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=\"4 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/\",\"name\":\"Como usar o m\u00e9todo Elbow em Python para encontrar clusters ideais - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-13T20:58:15+00:00\",\"dateModified\":\"2023-07-13T20:58:15+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como usar o m\u00e9todo Elbow em Python para encontrar o n\u00famero ideal de clusters a serem usados em um algoritmo de cluster.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/metodo-cotovelo-em-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como usar o m\u00e9todo elbow em python para encontrar clusters ideais\"}]},{\"@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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