{"id":1115,"date":"2023-07-27T15:00:08","date_gmt":"2023-07-27T15:00:08","guid":{"rendered":"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/"},"modified":"2023-07-27T15:00:08","modified_gmt":"2023-07-27T15:00:08","slug":"cosinus-gelijkenis-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/","title":{"rendered":"Hoe cosinusgelijkenis in python te berekenen"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Cosinus-overeenkomst<\/strong> is een maatstaf voor de overeenkomst tussen twee vectoren van een inproductruimte.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Voor twee vectoren, A en B, wordt de cosinusovereenkomst als volgt berekend:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cosinusovereenkomst<\/strong> = \u03a3A <sub>ik<\/sub> B <sub>ik<\/sub> \/ (\u221a\u03a3A <sub>ik<\/sub> <sup>2<\/sup> \u221a\u03a3B <sub>ik<\/sub> <sup>2<\/sup> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">In deze tutorial wordt uitgelegd hoe u de cosinusovereenkomst tussen vectoren in Python kunt berekenen met behulp van functies uit de <a href=\"https:\/\/numpy.org\/doc\/stable\/index.html\" target=\"_blank\" rel=\"noopener noreferrer\">NumPy-<\/a> bibliotheek.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cosinus-overeenkomst tussen twee vectoren in Python<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">De volgende code laat zien hoe je de cosinusovereenkomst tussen twee arrays in Python kunt berekenen:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> numpy <span style=\"color: #008000;\">import<\/span> dot\n<span style=\"color: #008000;\">from<\/span> numpy. <span style=\"color: #3366ff;\">linalg<\/span> <span style=\"color: #008000;\">import<\/span> norm\n\n<span style=\"color: #008080;\">#define arrays\n<\/span>a = [23, 34, 44, 45, 42, 27, 33, 34]\nb = [17, 18, 22, 26, 26, 29, 31, 30]\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cos_sim = <span style=\"color: #3366ff;\">dot<\/span> (a, b)\/( <span style=\"color: #3366ff;\">norm<\/span> (a)* <span style=\"color: #3366ff;\">norm<\/span> (b))\n\ncos_sim\n\n0.965195008357566\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">De cosinusovereenkomst tussen de twee tabellen blijkt <strong>0,965195<\/strong> te zijn.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Merk op dat deze methode werkt op twee arrays van elke lengte:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\nfrom<\/span> numpy <span style=\"color: #008000;\">import<\/span> dot\n<span style=\"color: #008000;\">from<\/span> numpy. <span style=\"color: #3366ff;\">linalg<\/span> <span style=\"color: #008000;\">import<\/span> norm\n\n<span style=\"color: #008080;\">#define arrays\n<\/span>a = np.random.randint(10, size= <span style=\"color: #008000;\">100<\/span> )\nb = np.random.randint(10, size= <span style=\"color: #008000;\">100<\/span> )\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cos_sim = <span style=\"color: #3366ff;\">dot<\/span> (a, b)\/( <span style=\"color: #3366ff;\">norm<\/span> (a)* <span style=\"color: #3366ff;\">norm<\/span> (b))\n\ncos_sim\n\n0.7340201613960431<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dit werkt echter alleen als de twee arrays dezelfde lengte hebben:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\nfrom<\/span> numpy <span style=\"color: #008000;\">import<\/span> dot\n<span style=\"color: #008000;\">from<\/span> numpy. <span style=\"color: #3366ff;\">linalg<\/span> <span style=\"color: #008000;\">import<\/span> norm\n\n<span style=\"color: #008080;\">#define arrays\n<\/span>a = np.random.randint(10, size= <span style=\"color: #008000;\">90<\/span> ) <span style=\"color: #008080;\">#length=90<\/span>\nb = np.random.randint(10, size= <span style=\"color: #008000;\">100<\/span> ) <span style=\"color: #008080;\">#length=100<\/span>\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cos_sim = <span style=\"color: #3366ff;\">dot<\/span> (a, b)\/( <span style=\"color: #3366ff;\">norm<\/span> (a)* <span style=\"color: #3366ff;\">norm<\/span> (b))\n\ncos_sim\n\n<span style=\"color: #993300;\">ValueError<\/span> : shapes (90,) and (100,) not aligned: 90 (dim 0) != 100 (dim 0)\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Opmerkingen<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Er zijn verschillende manieren om cosinusgelijkenis te berekenen met Python, maar zoals <a href=\"https:\/\/stackoverflow.com\/questions\/18424228\/cosine-similarity-between-2-number-lists\" target=\"_blank\" rel=\"noopener noreferrer\">deze Stack Overflow-thread<\/a> uitlegt, blijkt de methode die in dit artikel wordt uitgelegd de snelste.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Raadpleeg<a href=\"https:\/\/en.wikipedia.org\/wiki\/Cosine_similarity\" target=\"_blank\" rel=\"noopener noreferrer\">deze Wikipedia-pagina<\/a> voor meer informatie over cosinusgelijkenis.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cosinus-overeenkomst is een maatstaf voor de overeenkomst tussen twee vectoren van een inproductruimte. Voor twee vectoren, A en B, wordt de cosinusovereenkomst als volgt berekend: Cosinusovereenkomst = \u03a3A ik B ik \/ (\u221a\u03a3A ik 2 \u221a\u03a3B ik 2 ) In deze tutorial wordt uitgelegd hoe u de cosinusovereenkomst tussen vectoren in Python kunt berekenen met [&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-1115","post","type-post","status-publish","format-standard","hentry","category-gids"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Hoe cosinusovereenkomst in Python te berekenen - Statorials<\/title>\n<meta name=\"description\" content=\"In deze tutorial wordt met een voorbeeld uitgelegd hoe je de cosinus op dezelfde manier in Python kunt berekenen.\" \/>\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\/nl\/cosinus-gelijkenis-python\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hoe cosinusovereenkomst in Python te berekenen - Statorials\" \/>\n<meta property=\"og:description\" content=\"In deze tutorial wordt met een voorbeeld uitgelegd hoe je de cosinus op dezelfde manier in Python kunt berekenen.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T15:00:08+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"1\u00a0Minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/\",\"url\":\"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/\",\"name\":\"Hoe cosinusovereenkomst in Python te berekenen - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/nl\/#website\"},\"datePublished\":\"2023-07-27T15:00:08+00:00\",\"dateModified\":\"2023-07-27T15:00:08+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\"},\"description\":\"In deze tutorial wordt met een voorbeeld uitgelegd hoe je de cosinus op dezelfde manier in Python kunt berekenen.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/nl\/cosinus-gelijkenis-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Thuis\",\"item\":\"https:\/\/statorials.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Hoe cosinusgelijkenis in python te berekenen\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/nl\/#website\",\"url\":\"https:\/\/statorials.org\/nl\/\",\"name\":\"Statorials\",\"description\":\"Uw gids voor statistische competentie\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/nl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Ik ben Benjamin, een gepensioneerde hoogleraar statistiek die nu een toegewijde Statorials-lesgever is. 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