{"id":1657,"date":"2023-07-25T12:06:20","date_gmt":"2023-07-25T12:06:20","guid":{"rendered":"https:\/\/statorials.org\/nl\/manhattan-externe-python\/"},"modified":"2023-07-25T12:06:20","modified_gmt":"2023-07-25T12:06:20","slug":"manhattan-externe-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/nl\/manhattan-externe-python\/","title":{"rendered":"Hoe manhattan-afstand in python te berekenen (met voorbeelden)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">De <strong>Manhattan-afstand<\/strong> tussen twee vectoren, <em>A<\/em> en <em>B<\/em> , wordt als volgt berekend:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3|A <sub>ik<\/sub> \u2013 B <sub>ik<\/sub> |<\/span><\/p>\n<p> <span style=\"color: #000000;\">waarbij <em>i<\/em> het i <sup>-de<\/sup> element van elke vector is.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Deze afstand wordt gebruikt om de ongelijkheid tussen twee vectoren te meten en wordt vaak gebruikt in veel machine learning-algoritmen .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Deze tutorial laat twee manieren zien om de Manhattan-afstand tussen twee vectoren in Python te berekenen.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Methode 1: Schrijf een aangepaste functie<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">De volgende code laat zien hoe u een aangepaste functie maakt om de Manhattan-afstand tussen twee vectoren in Python te berekenen:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> math <span style=\"color: #008000;\">import<\/span> sqrt\n\n<span style=\"color: #008080;\">#create function to calculate Manhattan distance<\/span> \n<span style=\"color: #008000;\">def<\/span> manhattan(a, b):\n    <span style=\"color: #008000;\">return<\/span> <span style=\"color: #3366ff;\">sum<\/span> ( <span style=\"color: #3366ff;\">abs<\/span> (val1-val2) <span style=\"color: #008000;\">for<\/span> val1, val2 <span style=\"color: #008000;\">in<\/span> <span style=\"color: #3366ff;\">zip<\/span> (a,b))\n \n<span style=\"color: #008080;\">#definevectors\n<\/span>A = [2, 4, 4, 6]\nB = [5, 5, 7, 8]\n\n<span style=\"color: #008080;\">#calculate Manhattan distance between vectors\n<\/span>manhattan(A,B)\n\n9<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">De Manhattan-afstand tussen deze twee vectoren blijkt <strong>9<\/strong> te zijn.<\/span><\/p>\n<p> <span style=\"color: #000000;\">We kunnen bevestigen dat dit klopt door de afstand naar Manhattan snel met de hand te berekenen:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3|A <sub>ik<\/sub> \u2013 B <sub>ik<\/sub> | = |2-5| + |4-5| + |4-7| + |6-8| = 3 + 1 + 3 + 2 = <strong>9<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Methode 2: gebruik de functie cityblock().<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Een andere manier om de Manhattan-afstand tussen twee vectoren te berekenen is door de functie <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.spatial.distance.cityblock.html\" target=\"_blank\" rel=\"noopener\">cityblock()<\/a> uit het SciPy-pakket te gebruiken:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">spatial<\/span> . <span style=\"color: #3366ff;\">distance<\/span> <span style=\"color: #008000;\">import<\/span> cityblock\n\n<span style=\"color: #008080;\">#definevectors\n<\/span>A = [2, 4, 4, 6]\nB = [5, 5, 7, 8]\n\n<span style=\"color: #008080;\">#calculate Manhattan distance between vectors\n<\/span>cityblock(A, B)\n\n9<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Opnieuw blijkt de Manhattan-afstand tussen deze twee vectoren <strong>9<\/strong> te zijn.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Merk op dat we deze functie ook kunnen gebruiken om de Manhattan-afstand tussen twee kolommen in een Panda DataFrame te vinden:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">spatial<\/span> . <span style=\"color: #3366ff;\">distance<\/span> <span style=\"color: #008000;\">import<\/span> cityblock\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#define DataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">A<\/span> ': [2, 4, 4, 6],\n                   ' <span style=\"color: #ff0000;\">B<\/span> ': [5, 5, 7, 8],\n                   ' <span style=\"color: #ff0000;\">C<\/span> ': [9, 12, 12, 13]})\n\n<span style=\"color: #008080;\">#calculate Manhattan distance between columns A and B<\/span>\ncityblock(df. <span style=\"color: #3366ff;\">A<\/span> , df. <span style=\"color: #3366ff;\">B<\/span> )\n\n9<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Aanvullende bronnen<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/nl\/euclidische-afstandspython\/\" target=\"_blank\" rel=\"noopener\">Hoe de Euclidische afstand in Python te berekenen<\/a><br \/> <a href=\"https:\/\/statorials.org\/nl\/python-hamming-afstand\/\" target=\"_blank\" rel=\"noopener\">Hoe Hamming-afstand in Python te berekenen<\/a><br \/> <a href=\"https:\/\/statorials.org\/nl\/levenshtein-afstand-in-python\/\" target=\"_blank\" rel=\"noopener\">Hoe de Levenshtein-afstand in Python te berekenen<\/a><br \/> <a href=\"https:\/\/statorials.org\/nl\/mahalanobis-afgelegen-python\/\" target=\"_blank\" rel=\"noopener\">Hoe Mahalanobis-afstand in Python te berekenen<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>De Manhattan-afstand tussen twee vectoren, A en B , wordt als volgt berekend: \u03a3|A ik \u2013 B ik | waarbij i het i -de element van elke vector is. Deze afstand wordt gebruikt om de ongelijkheid tussen twee vectoren te meten en wordt vaak gebruikt in veel machine learning-algoritmen . Deze tutorial laat twee manieren [&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-1657","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 Manhattan-afstand in Python te berekenen (met voorbeelden)<\/title>\n<meta name=\"description\" content=\"In deze tutorial wordt uitgelegd hoe je de Manhattan-afstand tussen twee vectoren in Python kunt berekenen, met verschillende voorbeelden.\" \/>\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\/manhattan-externe-python\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hoe Manhattan-afstand in Python te berekenen (met voorbeelden)\" \/>\n<meta property=\"og:description\" content=\"In deze tutorial wordt uitgelegd hoe je de Manhattan-afstand tussen twee vectoren in Python kunt berekenen, met verschillende voorbeelden.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/nl\/manhattan-externe-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T12:06:20+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\/manhattan-externe-python\/\",\"url\":\"https:\/\/statorials.org\/nl\/manhattan-externe-python\/\",\"name\":\"Hoe Manhattan-afstand in Python te berekenen (met voorbeelden)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/nl\/#website\"},\"datePublished\":\"2023-07-25T12:06:20+00:00\",\"dateModified\":\"2023-07-25T12:06:20+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\"},\"description\":\"In deze tutorial wordt uitgelegd hoe je de Manhattan-afstand tussen twee vectoren in Python kunt berekenen, met verschillende voorbeelden.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/nl\/manhattan-externe-python\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/nl\/manhattan-externe-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/nl\/manhattan-externe-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Thuis\",\"item\":\"https:\/\/statorials.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Hoe manhattan-afstand in python te berekenen (met voorbeelden)\"}]},{\"@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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