{"id":26212,"date":"2025-03-27T10:02:49","date_gmt":"2025-03-27T03:02:49","guid":{"rendered":"https:\/\/interdata.vn\/blog\/?p=26212"},"modified":"2025-03-27T10:02:49","modified_gmt":"2025-03-27T03:02:49","slug":"k-means-clustering-la-gi","status":"publish","type":"post","link":"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/","title":{"rendered":"K-Means Clustering l\u00e0 g\u00ec? T\u00ecm hi\u1ec3u A-Z v\u1ec1 thu\u1eadt to\u00e1n K-Means"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">N\u1ed8I DUNG<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#K-Means-Clustering-la-gi\" >K-Means Clustering l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#K-means-clustering-hoat-dong-nhu-the-nao\" >K-means clustering ho\u1ea1t \u0111\u1ed9ng nh\u01b0 th\u1ebf n\u00e0o?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Khoi-tao-k\" >Kh\u1edfi t\u1ea1o k<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Gan-tam-cum\" >G\u00e1n t\u00e2m c\u1ee5m<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means\" >\u0110\u00e1nh gi\u00e1 \u01b0u, nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a thu\u1eadt to\u00e1n K-Means<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#-Cac-uu-diem-cua-K-Means-Clustering-la-gi\" >\u00a0C\u00e1c \u01b0u \u0111i\u1ec3m c\u1ee7a K-Means Clustering l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Cac-nhuoc-diem-cua-K-Means-Clustering-la-gi\" >C\u00e1c nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a K-Means Clustering l\u00e0 g\u00ec?<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Ung-dung-cua-K-Means-Clustering\" >\u1ee8ng d\u1ee5ng c\u1ee7a K-Means Clustering<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Cac-cau-hoi-thuong-gap-ve-K-means-Clustering\" >C\u00e1c c\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 K-means Clustering<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#K-means-clustering-trong-phan-tich-du-lieu-la-gi\" >K-means clustering trong ph\u00e2n t\u00edch d\u1eef li\u1ec7u l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Vi-du-ve-K-means-trong-doi-song-thuc\" >V\u00ed d\u1ee5 v\u1ec1 K-means trong \u0111\u1eddi s\u1ed1ng th\u1ef1c?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Mo-hinh-k-means-phu-hop-voi-loai-du-lieu-nao\" >M\u00f4 h\u00ecnh k-means ph\u00f9 h\u1ee3p v\u1edbi lo\u1ea1i d\u1eef li\u1ec7u n\u00e0o?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#K-means-co-duoc-su-dung-de-du-doan-khong\" >K-means c\u00f3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n kh\u00f4ng?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/#Muc-tieu-cua-k-means-clustering-la-gi\" >M\u1ee5c ti\u00eau c\u1ee7a k-means clustering l\u00e0 g\u00ec?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>K-Means Clustering l\u00e0 m\u1ed9t <a href=\"https:\/\/interdata.vn\/blog\/thuat-toan-algorithm\/\">thu\u1eadt to\u00e1n<\/a> ph\u00e2n c\u1ee5m ph\u1ed5 bi\u1ebfn trong khoa h\u1ecdc d\u1eef li\u1ec7u, gi\u00fap nh\u00f3m c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u t\u01b0\u01a1ng t\u1ef1 nhau th\u00e0nh c\u00e1c c\u1ee5m ri\u00eang bi\u1ec7t. Thu\u1eadt to\u00e1n K-Means kh\u00f4ng y\u00eau c\u1ea7u g\u00e1n nh\u00e3n cho d\u1eef li\u1ec7u tr\u01b0\u1edbc, v\u00e0 ho\u1ea1t \u0111\u1ed9ng d\u1ef1a tr\u00ean vi\u1ec7c t\u00ednh to\u00e1n kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c \u0111i\u1ec3m v\u00e0 t\u00e2m c\u1ee5m. Trong b\u00e0i vi\u1ebft, c\u00f9ng t\u00ecm hi\u1ec3u chi ti\u1ebft <a href=\"https:\/\/interdata.vn\/blog\/k-means-clustering-la-gi\/\"><strong>K-Means Clustering l\u00e0 g\u00ec<\/strong><\/a>, c\u00e1ch K-Means ho\u1ea1t \u0111\u1ed9ng, c\u00e1c \u01b0u nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a thu\u1eadt to\u00e1n n\u00e0y c\u0169ng nh\u01b0 \u1ee9ng d\u1ee5ng th\u1ef1c ti\u1ec5n.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"K-Means-Clustering-la-gi\"><\/span>K-Means Clustering l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>K-means clustering (K-Means) l\u00e0 m\u1ed9t k\u1ef9 thu\u1eadt d\u00f9ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh c\u00e1c nh\u00f3m (c\u1ee5m) t\u1ef1 nhi\u00ean v\u00e0 c\u00e1c \u0111i\u1ec3m trung t\u00e2m (t\u00e2m c\u1ee5m) c\u1ee7a ch\u00fang t\u1eeb m\u1ed9t b\u1ed9 d\u1eef li\u1ec7u ch\u01b0a \u0111\u01b0\u1ee3c g\u00e1n nh\u00e3n tr\u01b0\u1edbc.<\/strong> \u0110\u1ec3 th\u1ef1c hi\u1ec7n thu\u1eadt to\u00e1n n\u00e0y, ng\u01b0\u1eddi d\u00f9ng c\u1ea7n ph\u1ea3i \u0111\u1ecbnh tr\u01b0\u1edbc s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m mong mu\u1ed1n, k\u00fd hi\u1ec7u l\u00e0 k.<\/p>\n<figure id=\"attachment_26221\" aria-describedby=\"caption-attachment-26221\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/K-Means-Clustering-la-gi.png\" alt=\"K-Means Clustering l\u00e0 g\u00ec\" width=\"800\" height=\"500\" class=\"size-full wp-image-26221\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/K-Means-Clustering-la-gi.png 800w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/K-Means-Clustering-la-gi-300x188.png 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/K-Means-Clustering-la-gi-768x480.png 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/K-Means-Clustering-la-gi-750x469.png 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><figcaption id=\"caption-attachment-26221\" class=\"wp-caption-text\">K-Means Clustering l\u00e0 g\u00ec?<\/figcaption><\/figure>\n<p>Thu\u1eadt to\u00e1n ho\u1ea1t \u0111\u1ed9ng d\u1ef1a tr\u00ean m\u1ed9t quy tr\u00ecnh l\u1eb7p \u0111i l\u1eb7p l\u1ea1i, trong \u0111\u00f3 v\u1ecb tr\u00ed c\u1ee7a c\u00e1c t\u00e2m c\u1ee5m \u0111\u01b0\u1ee3c \u0111i\u1ec1u ch\u1ec9nh li\u00ean t\u1ee5c nh\u1eb1m m\u1ee5c ti\u00eau t\u1ed1i thi\u1ec3u h\u00f3a t\u1ed5ng ph\u01b0\u01a1ng sai b\u00ean trong m\u1ed7i c\u1ee5m. Xu\u1ea5t ph\u00e1t t\u1eeb m\u1ed9t b\u1ed9 t\u00e2m c\u1ee5m ban \u0111\u1ea7u, thu\u1eadt to\u00e1n K-means th\u1ef1c hi\u1ec7n l\u1eb7p l\u1ea1i hai b\u01b0\u1edbc ch\u00ednh sau \u0111\u00e2y:<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li><strong>B\u01b0\u1edbc g\u00e1n c\u1ee5m<\/strong>: M\u1ed7i \u0111i\u1ec3m d\u1eef li\u1ec7u trong t\u1eadp hu\u1ea5n luy\u1ec7n (training point) \u0111\u01b0\u1ee3c t\u00ednh kho\u1ea3ng c\u00e1ch \u0111\u1ebfn t\u1eebng t\u00e2m c\u1ee5m. \u0110i\u1ec3m d\u1eef li\u1ec7u \u0111\u00f3 s\u1ebd \u0111\u01b0\u1ee3c g\u00e1n v\u00e0o c\u1ee5m c\u00f3 t\u00e2m c\u1ee5m g\u1ea7n n\u00f3 nh\u1ea5t.<\/li>\n<li><strong>B\u01b0\u1edbc c\u1eadp nh\u1eadt t\u00e2m c\u1ee5m<\/strong>: Sau khi t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m \u0111\u00e3 \u0111\u01b0\u1ee3c g\u00e1n v\u00e0o c\u1ee5m t\u01b0\u01a1ng \u1ee9ng \u1edf b\u01b0\u1edbc tr\u01b0\u1edbc, v\u1ecb tr\u00ed c\u1ee7a m\u1ed7i t\u00e2m c\u1ee5m \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n l\u1ea1i. V\u1ecb tr\u00ed m\u1edbi n\u00e0y l\u00e0 vector trung b\u00ecnh c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u thu\u1ed9c v\u1ec1 c\u1ee5m \u0111\u00f3. Qu\u00e1 tr\u00ecnh hai b\u01b0\u1edbc n\u00e0y \u0111\u01b0\u1ee3c l\u1eb7p l\u1ea1i cho \u0111\u1ebfn khi v\u1ecb tr\u00ed c\u1ee7a c\u00e1c t\u00e2m c\u1ee5m kh\u00f4ng c\u00f2n thay \u0111\u1ed5i sau m\u1ed9t <a href=\"https:\/\/interdata.vn\/blog\/vong-lap-la-gi\/\">v\u00f2ng l\u1eb7p<\/a>, t\u1ee9c l\u00e0 thu\u1eadt to\u00e1n \u0111\u00e3 h\u1ed9i t\u1ee5.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"K-means-clustering-hoat-dong-nhu-the-nao\"><\/span>K-means clustering ho\u1ea1t \u0111\u1ed9ng nh\u01b0 th\u1ebf n\u00e0o?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>K-means clustering l\u00e0 m\u1ed9t qu\u00e1 tr\u00ecnh l\u1eb7p l\u1ea1i nh\u1eb1m gi\u1ea3m thi\u1ec3u t\u1ed5ng kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u v\u00e0 c\u00e1c t\u00e2m c\u1ee7a c\u1ee5m (centroid).<\/p>\n<p>Thu\u1eadt to\u00e1n k-means clustering ho\u1ea1t \u0111\u1ed9ng b\u1eb1ng c\u00e1ch <strong>ph\u00e2n lo\u1ea1i c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u th\u00e0nh c\u00e1c c\u1ee5m<\/strong> s\u1eed d\u1ee5ng m\u1ed9t ph\u00e9p \u0111o kho\u1ea3ng c\u00e1ch to\u00e1n h\u1ecdc, th\u01b0\u1eddng l\u00e0 kho\u1ea3ng c\u00e1ch Euclide, t\u1eeb t\u00e2m c\u1ee7a m\u1ed7i c\u1ee5m. M\u1ee5c ti\u00eau l\u00e0 gi\u1ea3m thi\u1ec3u t\u1ed5ng kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u v\u00e0 c\u00e1c c\u1ee5m m\u00e0 ch\u00fang \u0111\u01b0\u1ee3c ph\u00e2n v\u00e0o.<\/p>\n<p>C\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u g\u1ea7n v\u1edbi m\u1ed9t t\u00e2m c\u1ee5m s\u1ebd \u0111\u01b0\u1ee3c nh\u00f3m l\u1ea1i v\u1edbi nhau trong c\u00f9ng m\u1ed9t c\u1ee5m. M\u1ed9t gi\u00e1 tr\u1ecb k cao, hay s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m l\u1edbn, s\u1ebd d\u1eabn \u0111\u1ebfn c\u00e1c c\u1ee5m nh\u1ecf v\u1edbi chi ti\u1ebft nhi\u1ec1u h\u01a1n, trong khi m\u1ed9t gi\u00e1 tr\u1ecb k th\u1ea5p s\u1ebd t\u1ea1o ra c\u00e1c c\u1ee5m l\u1edbn v\u1edbi \u00edt chi ti\u1ebft h\u01a1n.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Khoi-tao-k\"><\/span>Kh\u1edfi t\u1ea1o k<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Thu\u1eadt to\u00e1n k-means clustering truy\u1ec1n th\u1ed1ng y\u00eau c\u1ea7u m\u1ed9t v\u00e0i b\u01b0\u1edbc. B\u01b0\u1edbc \u0111\u1ea7u ti\u00ean l\u00e0 <strong>kh\u1edfi t\u1ea1o k t\u00e2m c\u1ee5m<\/strong>, trong \u0111\u00f3: k l\u00e0 s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m \u0111\u01b0\u1ee3c ch\u1ecdn cho m\u1ed9t b\u1ed9 d\u1eef li\u1ec7u c\u1ee5 th\u1ec3. Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y s\u1eed d\u1ee5ng ho\u1eb7c l\u00e0 ch\u1ecdn ng\u1eabu nhi\u00ean, ho\u1eb7c l\u00e0 ph\u01b0\u01a1ng ph\u00e1p l\u1ea5y m\u1eabu t\u00e2m c\u1ee5m ban \u0111\u1ea7u.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Gan-tam-cum\"><\/span>G\u00e1n t\u00e2m c\u1ee5m<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>B\u01b0\u1edbc ti\u1ebfp theo bao g\u1ed3m m\u1ed9t qu\u00e1 tr\u00ecnh l\u1eb7p l\u1ea1i hai b\u01b0\u1edbc d\u1ef1a tr\u00ean thu\u1eadt to\u00e1n h\u1ecdc m\u00e1y k\u1ef3 v\u1ecdng t\u1ed1i \u0111a (Expectation Maximization). B\u01b0\u1edbc k\u1ef3 v\u1ecdng g\u00e1n m\u1ed7i \u0111i\u1ec3m d\u1eef li\u1ec7u v\u00e0o t\u00e2m c\u1ee5m g\u1ea7n nh\u1ea5t d\u1ef1a tr\u00ean kho\u1ea3ng c\u00e1ch (th\u01b0\u1eddng l\u00e0 kho\u1ea3ng c\u00e1ch Euclide).<\/p>\n<p>B\u01b0\u1edbc t\u1ed1i \u0111a h\u00f3a t\u00ednh to\u00e1n trung b\u00ecnh c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m trong m\u1ed7i c\u1ee5m v\u00e0 g\u00e1n l\u1ea1i t\u00e2m c\u1ee7a c\u1ee5m \u0111\u00f3. Qu\u00e1 tr\u00ecnh n\u00e0y \u0111\u01b0\u1ee3c l\u1eb7p l\u1ea1i cho \u0111\u1ebfn khi v\u1ecb tr\u00ed c\u1ee7a c\u00e1c t\u00e2m c\u1ee5m h\u1ed9i t\u1ee5 ho\u1eb7c s\u1ed1 l\u1ea7n l\u1eb7p t\u1ed1i \u0111a \u0111\u00e3 \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n.<\/p>\n<p>K-means clustering \u0111\u01a1n gi\u1ea3n nh\u01b0ng r\u1ea5t nh\u1ea1y c\u1ea3m v\u1edbi \u0111i\u1ec1u ki\u1ec7n kh\u1edfi t\u1ea1o v\u00e0 c\u00e1c \u0111i\u1ec3m ngo\u1ea1i l\u1ec7. Vi\u1ec7c t\u1ed1i \u01b0u h\u00f3a kh\u1edfi t\u1ea1o t\u00e2m c\u1ee5m v\u00e0 s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m k l\u00e0 r\u1ea5t quan tr\u1ecdng \u0111\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c c\u00e1c c\u1ee5m c\u00f3 \u00fd ngh\u0129a nh\u1ea5t.<\/p>\n<p>C\u00f3 m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 v\u00e0 t\u1ed1i \u01b0u h\u00f3a c\u00e1c th\u00e0nh ph\u1ea7n c\u1ee7a thu\u1eadt to\u00e1n clustering b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng c\u00e1c ch\u1ec9 s\u1ed1 \u0111\u00e1nh gi\u00e1 v\u00e0 ph\u01b0\u01a1ng ph\u00e1p l\u1ea5y m\u1eabu t\u00e2m c\u1ee5m ban \u0111\u1ea7u.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means\"><\/span>\u0110\u00e1nh gi\u00e1 \u01b0u, nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a thu\u1eadt to\u00e1n K-Means<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"-Cac-uu-diem-cua-K-Means-Clustering-la-gi\"><\/span>\u00a0C\u00e1c \u01b0u \u0111i\u1ec3m c\u1ee7a K-Means Clustering l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li><strong>T\u00ednh \u0111\u01a1n gi\u1ea3n v\u00e0 tr\u1ef1c quan:<\/strong> K-Means n\u1ed5i b\u1eadt l\u00e0 m\u1ed9t trong c\u00e1c thu\u1eadt to\u00e1n ph\u00e2n c\u1ee5m d\u1ec5 n\u1eafm b\u1eaft nh\u1ea5t. C\u01a1 ch\u1ebf ho\u1ea1t \u0111\u1ed9ng c\u1ee7a n\u00f3 r\u1ea5t minh b\u1ea1ch v\u00e0 vi\u1ec7c c\u00e0i \u0111\u1eb7t t\u01b0\u01a1ng \u0111\u1ed1i d\u1ec5 d\u00e0ng.<\/li>\n<li><strong>Hi\u1ec7u su\u1ea5t t\u00ednh to\u00e1n t\u1ed1t:<\/strong> Thu\u1eadt to\u00e1n n\u00e0y t\u1ecf ra hi\u1ec7u qu\u1ea3 khi c\u00f3 kh\u1ea3 n\u0103ng x\u1eed l\u00fd c\u00e1c t\u1eadp d\u1eef li\u1ec7u c\u00f3 k\u00edch th\u01b0\u1edbc \u0111\u00e1ng k\u1ec3 m\u00e0 kh\u00f4ng \u0111\u00f2i h\u1ecfi chi ph\u00ed t\u00ednh to\u00e1n qu\u00e1 cao, \u0111\u1eb7c bi\u1ec7t khi s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m <code>k<\/code> \u0111\u01b0\u1ee3c ch\u1ecdn l\u00e0 nh\u1ecf.<\/li>\n<li><strong>Kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng (Scalability):<\/strong> Nh\u1edd v\u00e0o \u0111\u1eb7c t\u00ednh tuy\u1ebfn t\u00ednh v\u1ed1n c\u00f3, K-Means c\u00f3 kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng r\u1ea5t t\u1ed1t \u0111\u1ec3 l\u00e0m vi\u1ec7c v\u1edbi nh\u1eefng b\u1ed9 d\u1eef li\u1ec7u kh\u1ed5ng l\u1ed3, th\u1eadm ch\u00ed c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng hi\u1ec7u qu\u1ea3 tr\u00ean c\u00e1c t\u1eadp d\u1eef li\u1ec7u ch\u1ee9a h\u00e0ng tri\u1ec7u \u0111i\u1ec3m.<\/li>\n<li><strong>T\u00ednh linh ho\u1ea1t:<\/strong> K-Means c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng tr\u00ean nhi\u1ec1u d\u1ea1ng d\u1eef li\u1ec7u \u0111a d\u1ea1ng, kh\u00f4ng ch\u1ec9 gi\u1edbi h\u1ea1n \u1edf d\u1eef li\u1ec7u d\u1ea1ng s\u1ed1 m\u00e0 c\u00f2n bao g\u1ed3m c\u1ea3 d\u1eef li\u1ec7u thu\u1ed9c t\u00ednh (categorical).<\/li>\n<\/ul>\n<figure id=\"attachment_26222\" aria-describedby=\"caption-attachment-26222\" style=\"width: 850px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means.png\" alt=\"\u0110\u00e1nh gi\u00e1 \u01b0u, nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a thu\u1eadt to\u00e1n K-Means\" width=\"850\" height=\"314\" class=\"size-full wp-image-26222\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means.png 850w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means-300x111.png 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means-768x284.png 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Danh-gia-uu-nhuoc-diem-cua-thuat-toan-K-Means-750x277.png 750w\" sizes=\"auto, (max-width: 850px) 100vw, 850px\" \/><figcaption id=\"caption-attachment-26222\" class=\"wp-caption-text\">\u0110\u00e1nh gi\u00e1 \u01b0u, nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a thu\u1eadt to\u00e1n K-Means<\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"Cac-nhuoc-diem-cua-K-Means-Clustering-la-gi\"><\/span>C\u00e1c nh\u01b0\u1ee3c \u0111i\u1ec3m c\u1ee7a K-Means Clustering l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li><strong>Y\u00eau c\u1ea7u x\u00e1c \u0111\u1ecbnh tr\u01b0\u1edbc s\u1ed1 c\u1ee5m (<\/strong><code><strong>k<\/strong><\/code><strong>):<\/strong> M\u1ed9t trong nh\u1eefng nh\u01b0\u1ee3c \u0111i\u1ec3m \u0111\u00e1ng k\u1ec3 nh\u1ea5t c\u1ee7a K-Means l\u00e0 vi\u1ec7c b\u1eaft bu\u1ed9c ng\u01b0\u1eddi d\u00f9ng ph\u1ea3i cung c\u1ea5p s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m <code>k<\/code> mong mu\u1ed1n tr\u01b0\u1edbc khi thu\u1eadt to\u00e1n b\u1eaft \u0111\u1ea7u ch\u1ea1y. \u0110\u00e2y c\u00f3 th\u1ec3 l\u00e0 m\u1ed9t th\u00e1ch th\u1ee9c n\u1ebfu kh\u00f4ng c\u00f3 th\u00f4ng tin ti\u00ean nghi\u1ec7m v\u1ec1 s\u1ed1 c\u1ee5m t\u1ed1i \u01b0u cho d\u1eef li\u1ec7u.<\/li>\n<li><strong>\u0110\u1ed9 nh\u1ea1y v\u1edbi \u0111i\u1ec3m kh\u1edfi t\u1ea1o t\u00e2m c\u1ee5m:<\/strong> K\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng c\u1ee7a thu\u1eadt to\u00e1n K-Means ch\u1ecbu \u1ea3nh h\u01b0\u1edfng l\u1edbn t\u1eeb v\u1ecb tr\u00ed c\u1ee7a c\u00e1c t\u00e2m c\u1ee5m (centroid) \u0111\u01b0\u1ee3c ch\u1ecdn ban \u0111\u1ea7u. N\u1ebfu vi\u1ec7c kh\u1edfi t\u1ea1o kh\u00f4ng t\u1ed1t, thu\u1eadt to\u00e1n c\u00f3 nguy c\u01a1 b\u1ecb k\u1eb9t l\u1ea1i \u1edf m\u1ed9t gi\u1ea3i ph\u00e1p t\u1ed1i \u01b0u c\u1ee5c b\u1ed9, thay v\u00ec t\u00ecm ra gi\u1ea3i ph\u00e1p t\u1ed1i \u01b0u to\u00e0n c\u1ee5c.<\/li>\n<li><strong>Gi\u1ea3 \u0111\u1ecbnh v\u1ec1 h\u00ecnh d\u1ea1ng c\u1ee5m:<\/strong> K-Means ho\u1ea1t \u0111\u1ed9ng hi\u1ec7u qu\u1ea3 nh\u1ea5t khi c\u00e1c c\u1ee5m d\u1eef li\u1ec7u c\u00f3 d\u1ea1ng h\u00ecnh c\u1ea7u (ho\u1eb7c g\u1ea7n c\u1ea7u) v\u00e0 k\u00edch th\u01b0\u1edbc t\u01b0\u01a1ng \u0111\u01b0\u01a1ng nhau. Thu\u1eadt to\u00e1n g\u1eb7p kh\u00f3 kh\u0103n trong vi\u1ec7c nh\u1eadn di\u1ec7n ch\u00ednh x\u00e1c c\u00e1c c\u1ee5m c\u00f3 h\u00ecnh d\u1ea1ng ph\u1ee9c t\u1ea1p, phi tuy\u1ebfn t\u00ednh ho\u1eb7c k\u00edch th\u01b0\u1edbc kh\u00f4ng \u0111\u1ed3ng \u0111\u1ec1u.<\/li>\n<li><strong>Nh\u1ea1y c\u1ea3m v\u1edbi d\u1eef li\u1ec7u nhi\u1ec5u v\u00e0 ngo\u1ea1i lai (Outliers):<\/strong> Thu\u1eadt to\u00e1n K-Means r\u1ea5t d\u1ec5 b\u1ecb \u1ea3nh h\u01b0\u1edfng b\u1edfi c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u ngo\u1ea1i lai. S\u1ef1 hi\u1ec7n di\u1ec7n c\u1ee7a c\u00e1c \u0111i\u1ec3m n\u00e0y c\u00f3 th\u1ec3 l\u00e0m l\u1ec7ch v\u1ecb tr\u00ed c\u1ee7a t\u00e2m c\u1ee5m, k\u00e9o ch\u00fang ra xa kh\u1ecfi trung t\u00e2m th\u1ef1c s\u1ef1 c\u1ee7a nh\u00f3m d\u1eef li\u1ec7u m\u00e0 ch\u00fang thu\u1ed9c v\u1ec1.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Ung-dung-cua-K-Means-Clustering\"><\/span>\u1ee8ng d\u1ee5ng c\u1ee7a K-Means Clustering<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>K\u1ef9 thu\u1eadt ph\u00e2n c\u1ee5m d\u1eef li\u1ec7u, v\u1edbi t\u00ednh h\u1eefu d\u1ee5ng cao, \u0111\u00e3 tr\u1edf th\u00e0nh m\u1ed9t c\u00f4ng c\u1ee5 c\u1ef1c k\u1ef3 th\u00f4ng d\u1ee5ng trong l\u0129nh v\u1ef1c khoa h\u1ecdc d\u1eef li\u1ec7u. C\u00e1c \u1ee9ng d\u1ee5ng ti\u00eau bi\u1ec3u bao g\u1ed3m:<\/p>\n<p>\u0110\u01b0\u1ee3c tri\u1ec3n khai r\u1ed9ng r\u00e3i trong c\u00e1c <strong>ho\u1ea1t \u0111\u1ed9ng nghi\u00ean c\u1ee9u th\u1ecb tr\u01b0\u1eddng<\/strong>, nh\u1eadn d\u1ea1ng c\u00e1c khu\u00f4n m\u1eabu (pattern recognition), ph\u00e2n t\u00edch d\u1eef li\u1ec7u n\u00f3i chung v\u00e0 x\u1eed l\u00fd h\u00ecnh \u1ea3nh.<\/p>\n<p>H\u1ed7 tr\u1ee3 c\u00e1c nh\u00e0 khoa h\u1ecdc d\u1eef li\u1ec7u trong vi\u1ec7c <strong>x\u00e1c \u0111\u1ecbnh c\u00e1c ph\u00e2n kh\u00fac kh\u00e1ch h\u00e0ng kh\u00e1c nhau<\/strong>. Th\u00f4ng qua \u0111\u00f3, h\u1ecd c\u00f3 th\u1ec3 x\u00e2y d\u1ef1ng h\u1ed3 s\u01a1 chi ti\u1ebft v\u1ec1 \u0111\u1eb7c \u0111i\u1ec3m c\u1ee7a t\u1eebng nh\u00f3m kh\u00e1ch h\u00e0ng, d\u1ef1a tr\u00ean h\u00e0nh vi v\u00e0 l\u1ecbch s\u1eed mua s\u1eafm c\u1ee7a h\u1ecd.<\/p>\n<p>Trong ng\u00e0nh sinh h\u1ecdc, ph\u00e2n c\u1ee5m \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng \u0111\u1ec3 <strong>ph\u00e2n lo\u1ea1i c\u00e1c lo\u00e0i th\u1ef1c v\u1eadt v\u00e0 \u0111\u1ed9ng v\u1eadt<\/strong>, nh\u00f3m c\u00e1c gen c\u00f3 c\u00f9ng ch\u1ee9c n\u0103ng sinh h\u1ecdc, v\u00e0 kh\u00e1m ph\u00e1, hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 c\u1ea5u tr\u00fac ti\u1ec1m \u1ea9n trong c\u00e1c qu\u1ea7n th\u1ec3 sinh v\u1eadt.<\/p>\n<p>Do \u0111\u00f3, \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n y\u00eau c\u1ea7u ph\u00e2n nh\u00f3m d\u1eef li\u1ec7u, c\u1ea7n c\u00f3 nh\u1eefng c\u00f4ng c\u1ee5 v\u00e0 ph\u01b0\u01a1ng ph\u00e1p ph\u00f9 h\u1ee3p, v\u00e0 K-means ch\u00ednh l\u00e0 m\u1ed9t trong nh\u1eefng thu\u1eadt to\u00e1n ph\u00e2n c\u1ee5m \u0111\u01b0\u1ee3c \u01b0a chu\u1ed9ng v\u00e0 s\u1eed d\u1ee5ng nhi\u1ec1u nh\u1ea5t hi\u1ec7n nay.<\/p>\n<figure id=\"attachment_26224\" aria-describedby=\"caption-attachment-26224\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ung-dung-cua-K-Means-Clustering.jpg\" alt=\"\u1ee8ng d\u1ee5ng c\u1ee7a K-Means Clustering\" width=\"800\" height=\"480\" class=\"size-full wp-image-26224\" title=\"\" srcset=\"https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ung-dung-cua-K-Means-Clustering.jpg 800w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ung-dung-cua-K-Means-Clustering-300x180.jpg 300w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ung-dung-cua-K-Means-Clustering-768x461.jpg 768w, https:\/\/interdata.vn\/blog\/wp-content\/uploads\/2025\/03\/Ung-dung-cua-K-Means-Clustering-750x450.jpg 750w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><figcaption id=\"caption-attachment-26224\" class=\"wp-caption-text\">\u1ee8ng d\u1ee5ng c\u1ee7a K-Means Clustering<\/figcaption><\/figure>\n<p>Ngo\u00e0i ra, c\u00f3 c\u00e1c t\u00ecnh hu\u1ed1ng \u01b0u ti\u00ean s\u1eed d\u1ee5ng K-Means Clustering nh\u01b0:<\/p>\n<ul>\n<li><strong>Khi <a href=\"https:\/\/interdata.vn\/blog\/cau-truc-du-lieu\/\">c\u1ea5u tr\u00fac d\u1eef li\u1ec7u<\/a> \u0111\u01a1n gi\u1ea3n<\/strong>: N\u1ebfu d\u1eef li\u1ec7u c\u1ee7a b\u1ea1n th\u1ec3 hi\u1ec7n c\u1ea5u tr\u00fac ph\u00e2n c\u1ee5m kh\u00f4ng qu\u00e1 ph\u1ee9c t\u1ea1p, v\u1edbi c\u00e1c nh\u00f3m c\u00f3 xu h\u01b0\u1edbng d\u1ea1ng h\u00ecnh c\u1ea7u ho\u1eb7c t\u01b0\u01a1ng t\u1ef1, v\u00e0 k\u00edch th\u01b0\u1edbc kh\u00e1 \u0111\u1ed3ng \u0111\u1ec1u, K-Means s\u1ebd l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 m\u1ea1nh m\u1ebd v\u00e0 hi\u1ec7u qu\u1ea3.<br \/>\n<strong><\/strong><\/li>\n<li><strong>Khi s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m (k) \u0111\u00e3 bi\u1ebft ho\u1eb7c d\u1ec5 \u01b0\u1edbc l\u01b0\u1ee3ng<\/strong>: Trong tr\u01b0\u1eddng h\u1ee3p b\u1ea1n c\u00f3 c\u01a1 s\u1edf \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh ho\u1eb7c \u01b0\u1edbc t\u00ednh \u0111\u01b0\u1ee3c s\u1ed1 l\u01b0\u1ee3ng c\u1ee5m k c\u1ea7n t\u00ecm m\u1ed9t c\u00e1ch t\u01b0\u01a1ng \u0111\u1ed1i ch\u00ednh x\u00e1c, K-Means cho ph\u00e9p ph\u00e2n nh\u00f3m d\u1eef li\u1ec7u m\u1ed9t c\u00e1ch nhanh ch\u00f3ng.<br \/>\n<strong><\/strong><\/li>\n<li><strong>Cho m\u1ee5c \u0111\u00edch ph\u00e2n t\u00edch kh\u00e1m ph\u00e1 ban \u0111\u1ea7u<\/strong>: Khi b\u1ea1n c\u1ea7n th\u1ef1c hi\u1ec7n m\u1ed9t ph\u00e2n t\u00edch s\u01a1 b\u1ed9 \u0111\u1ec3 t\u00ecm hi\u1ec3u c\u00e1c m\u1eabu ti\u1ec1m \u1ea9n ho\u1eb7c c\u1ea5u tr\u00fac c\u01a1 b\u1ea3n trong d\u1eef li\u1ec7u, K-Means c\u00f3 th\u1ec3 mang l\u1ea1i c\u00e1i nh\u00ecn t\u1ed5ng quan, nhanh ch\u00f3ng v\u00e0 t\u01b0\u01a1ng \u0111\u1ed1i r\u00f5 r\u00e0ng v\u1ec1 c\u00e1ch d\u1eef li\u1ec7u c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c nh\u00f3m l\u1ea1i.<br \/>\n<strong><\/strong><\/li>\n<li><strong>Khi y\u00eau c\u1ea7u v\u1ec1 th\u1eddi gian x\u1eed l\u00fd th\u1ea5p<\/strong>: N\u1ebfu b\u1ea1n b\u1ecb gi\u1edbi h\u1ea1n v\u1ec1 th\u1eddi gian ho\u1eb7c t\u00e0i nguy\u00ean t\u00ednh to\u00e1n, K-Means l\u00e0 m\u1ed9t l\u1ef1a ch\u1ecdn t\u1ed1t v\u00ec n\u00f3 cung c\u1ea5p m\u1ed9t gi\u1ea3i ph\u00e1p ph\u00e2n c\u1ee5m nhanh ch\u00f3ng v\u1edbi hi\u1ec7u n\u0103ng t\u00ednh to\u00e1n \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 cao.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Cac-cau-hoi-thuong-gap-ve-K-means-Clustering\"><\/span>C\u00e1c c\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 K-means Clustering<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"K-means-clustering-trong-phan-tich-du-lieu-la-gi\"><\/span>K-means clustering trong ph\u00e2n t\u00edch d\u1eef li\u1ec7u l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>K-means l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n chia d\u1eef li\u1ec7u th\u00e0nh \u2018k\u2019 t\u1eadp con ri\u00eang bi\u1ec7t, kh\u00f4ng ch\u1ed3ng ch\u00e9o (c\u00e1c c\u1ee5m) d\u1ef1a tr\u00ean s\u1ef1 t\u01b0\u01a1ng \u0111\u1ed3ng, v\u1edbi m\u1ee5c ti\u00eau gi\u1ea3m thi\u1ec3u \u0111\u1ed9 bi\u1ebfn thi\u00ean trong m\u1ed7i c\u1ee5m.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Vi-du-ve-K-means-trong-doi-song-thuc\"><\/span>V\u00ed d\u1ee5 v\u1ec1 K-means trong \u0111\u1eddi s\u1ed1ng th\u1ef1c?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ph\u00e2n kh\u00fac kh\u00e1ch h\u00e0ng trong marketing, trong \u0111\u00f3 K-means nh\u00f3m kh\u00e1ch h\u00e0ng d\u1ef1a tr\u00ean h\u00e0nh vi mua s\u1eafm, gi\u00fap c\u00e1c doanh nghi\u1ec7p t\u00f9y ch\u1ec9nh chi\u1ebfn l\u01b0\u1ee3c marketing cho t\u1eebng ph\u00e2n kh\u00fac kh\u00e1c nhau.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mo-hinh-k-means-phu-hop-voi-loai-du-lieu-nao\"><\/span>M\u00f4 h\u00ecnh k-means ph\u00f9 h\u1ee3p v\u1edbi lo\u1ea1i d\u1eef li\u1ec7u n\u00e0o?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>K-means ho\u1ea1t \u0111\u1ed9ng t\u1ed1t v\u1edbi d\u1eef li\u1ec7u s\u1ed1, n\u01a1i kh\u00e1i ni\u1ec7m kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u c\u00f3 \u00fd ngh\u0129a. N\u00f3 th\u01b0\u1eddng \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng v\u1edbi c\u00e1c bi\u1ebfn li\u00ean t\u1ee5c.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"K-means-co-duoc-su-dung-de-du-doan-khong\"><\/span>K-means c\u00f3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n kh\u00f4ng?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>K-means ch\u1ee7 y\u1ebfu \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 ph\u00e2n nh\u00f3m v\u00e0 ph\u00e2n lo\u1ea1i c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u t\u01b0\u01a1ng t\u1ef1. N\u00f3 kh\u00f4ng d\u1ef1 \u0111o\u00e1n nh\u00e3n cho d\u1eef li\u1ec7u m\u1edbi m\u00e0 g\u00e1n ch\u00fang v\u00e0o c\u00e1c c\u1ee5m hi\u1ec7n c\u00f3 d\u1ef1a tr\u00ean s\u1ef1 t\u01b0\u01a1ng \u0111\u1ed3ng.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Muc-tieu-cua-k-means-clustering-la-gi\"><\/span>M\u1ee5c ti\u00eau c\u1ee7a k-means clustering l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>M\u1ee5c ti\u00eau c\u1ee7a k-means clustering l\u00e0 ph\u00e2n chia d\u1eef li\u1ec7u th\u00e0nh \u2018k\u2019 c\u1ee5m, gi\u1ea3m thi\u1ec3u \u0111\u1ed9 bi\u1ebfn thi\u00ean trong c\u00e1c c\u1ee5m. N\u00f3 t\u00ecm c\u00e1ch t\u1ea1o ra c\u00e1c nh\u00f3m m\u00e0 c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u trong m\u1ed7i c\u1ee5m c\u00f3 s\u1ef1 t\u01b0\u01a1ng \u0111\u1ed3ng cao v\u1edbi nhau h\u01a1n l\u00e0 v\u1edbi c\u00e1c \u0111i\u1ec3m trong c\u00e1c c\u1ee5m kh\u00e1c.<\/p>\n<hr \/>\n<p>Khi \u00e1p d\u1ee5ng c\u00e1c thu\u1eadt to\u00e1n nh\u01b0 K-Means Clustering, vi\u1ec7c s\u1eed d\u1ee5ng c\u00e1c d\u1ecbch v\u1ee5 l\u01b0u tr\u1eef \u1ed5n \u0111\u1ecbnh v\u00e0 m\u1ea1nh m\u1ebd l\u00e0 r\u1ea5t quan tr\u1ecdng. N\u1ebfu b\u1ea1n \u0111ang t\u00ecm ki\u1ebfm m\u1ed9t gi\u1ea3i ph\u00e1p ph\u00f9 h\u1ee3p, h\u00e3y th\u1eed <a href=\"https:\/\/interdata.vn\/thue-vps\/\">thu\u00ea VPS ch\u1ea5t l\u01b0\u1ee3ng gi\u00e1 r\u1ebb<\/a> t\u1ea1i InterData. V\u1edbi ph\u1ea7n c\u1ee9ng hi\u1ec7n \u0111\u1ea1i, bao g\u1ed3m <a href=\"https:\/\/interdata.vn\/blog\/cpu-server\/\">CPU<\/a> <a href=\"https:\/\/interdata.vn\/blog\/cpu-amd-epyc\/\">AMD EPYC<\/a> v\u00e0 <a href=\"https:\/\/interdata.vn\/blog\/intel-xeon\/\">Intel Xeon<\/a> Platinum, k\u1ebft h\u1ee3p v\u1edbi SSD NVMe U.2 v\u00e0 <a href=\"https:\/\/interdata.vn\/blog\/bang-thong-la-gi\/\">b\u0103ng th\u00f4ng<\/a> cao, d\u1ecbch v\u1ee5 <a href=\"https:\/\/interdata.vn\/blog\/vps-la-gi\/\">VPS<\/a> c\u1ee7a ch\u00fang t\u00f4i mang \u0111\u1ebfn hi\u1ec7u su\u1ea5t v\u01b0\u1ee3t tr\u1ed9i cho c\u00e1c t\u00e1c v\u1ee5 y\u00eau c\u1ea7u t\u00ednh to\u00e1n m\u1ea1nh m\u1ebd.<\/p>\n<p>Ngo\u00e0i ra, n\u1ebfu b\u1ea1n c\u1ea7n kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng v\u00e0 t\u00ednh linh ho\u1ea1t cao cho c\u00e1c d\u1ef1 \u00e1n ph\u00e2n t\u00edch d\u1eef li\u1ec7u l\u1edbn, <a href=\"https:\/\/interdata.vn\/cloud-server\/\">thu\u00ea Cloud Server gi\u00e1 r\u1ebb t\u1ed1c \u0111\u1ed9 cao<\/a> t\u1ea1i InterData s\u1ebd l\u00e0 m\u1ed9t l\u1ef1a ch\u1ecdn tuy\u1ec7t v\u1eddi. C\u00e1c <a href=\"https:\/\/interdata.vn\/blog\/may-chu-server-la-gi\/\">m\u00e1y ch\u1ee7<\/a> v\u1edbi c\u1ea5u h\u00ecnh t\u1ed1i \u01b0u, b\u0103ng th\u00f4ng cao v\u00e0 dung l\u01b0\u1ee3ng linh ho\u1ea1t \u0111\u1ea3m b\u1ea3o b\u1ea1n c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng tri\u1ec3n khai c\u00e1c gi\u1ea3i ph\u00e1p ph\u00e2n t\u00edch d\u1eef li\u1ec7u ph\u1ee9c t\u1ea1p m\u00e0 kh\u00f4ng lo v\u1ec1 hi\u1ec7u su\u1ea5t.<\/p>\n<p>H\u00e3y li\u00ean h\u1ec7 v\u1edbi ch\u00fang t\u00f4i \u0111\u1ec3 \u0111\u01b0\u1ee3c h\u1ed7 tr\u1ee3 v\u00e0 t\u00ecm ra gi\u1ea3i ph\u00e1p ph\u00f9 h\u1ee3p v\u1edbi nhu c\u1ea7u c\u1ee7a b\u1ea1n.<\/p>\n<p><strong>INTERDATA<\/strong><\/p>\n<ul>\n<li><strong>Website:<\/strong>\u00a0Interdata.vn<\/li>\n<li><strong>Hotline:<\/strong>\u00a01900-636822<\/li>\n<li><strong>Email:<\/strong>\u00a0Info@interdata.vn<\/li>\n<li><strong>VP\u0110D:<\/strong>\u00a0240 Nguy\u1ec5n \u0110\u00ecnh Ch\u00ednh, P.11. Q. Ph\u00fa Nhu\u1eadn, TP. Ho\u0302\u0300 Ch\u00ed Minh<\/li>\n<li><strong>VPGD:<\/strong>\u00a0S\u1ed1 211 \u0110\u01b0\u1eddng s\u1ed1 5, K\u0110T Lakeview City, P. An Ph\u00fa, TP. Th\u1ee7 \u0110\u1ee9c, TP. H\u1ed3 Ch\u00ed Minh<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>K-Means Clustering l\u00e0 m\u1ed9t thu\u1eadt to\u00e1n ph\u00e2n c\u1ee5m ph\u1ed5 bi\u1ebfn trong khoa h\u1ecdc d\u1eef li\u1ec7u, gi\u00fap nh\u00f3m c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u t\u01b0\u01a1ng t\u1ef1 nhau th\u00e0nh c\u00e1c c\u1ee5m ri\u00eang bi\u1ec7t. Thu\u1eadt to\u00e1n K-Means kh\u00f4ng y\u00eau c\u1ea7u g\u00e1n nh\u00e3n cho d\u1eef li\u1ec7u tr\u01b0\u1edbc, v\u00e0 ho\u1ea1t \u0111\u1ed9ng d\u1ef1a tr\u00ean vi\u1ec7c t\u00ednh to\u00e1n kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c \u0111i\u1ec3m v\u00e0<\/p>\n","protected":false},"author":11,"featured_media":26225,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[108],"tags":[],"class_list":["post-26212","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai"],"_links":{"self":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts\/26212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/comments?post=26212"}],"version-history":[{"count":3,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts\/26212\/revisions"}],"predecessor-version":[{"id":26236,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/posts\/26212\/revisions\/26236"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/media\/26225"}],"wp:attachment":[{"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/media?parent=26212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/categories?post=26212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/interdata.vn\/blog\/wp-json\/wp\/v2\/tags?post=26212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}