{"id":1523,"date":"2022-08-13T16:19:00","date_gmt":"2022-08-13T15:19:00","guid":{"rendered":"http:\/\/cafe2sach.com\/?p=1523"},"modified":"2022-08-13T16:19:02","modified_gmt":"2022-08-13T15:19:02","slug":"xay-dung-cong-cu-de-xuat-voi-tinh-nang-loc-cong-tac-phan-1","status":"publish","type":"post","link":"https:\/\/cafe2sach.com\/index.php\/2022\/08\/13\/xay-dung-cong-cu-de-xuat-voi-tinh-nang-loc-cong-tac-phan-1\/","title":{"rendered":"X\u00e2y d\u1ef1ng c\u00f4ng c\u1ee5 \u0111\u1ec1 xu\u1ea5t v\u1edbi t\u00ednh n\u0103ng l\u1ecdc c\u1ed9ng t\u00e1c &#8211; Ph\u1ea7n 1"},"content":{"rendered":"\n<div id=\"toc_container\" class=\"no_bullets\"><p class=\"toc_title\">N\u1ed9i dung ch&iacute;nh<\/p><ul class=\"toc_list\"><li><a href=\"#Loc_cong_tac_la_gi\"><span class=\"toc_number toc_depth_1\">1<\/span>  L\u1ecdc c\u1ed9ng t\u00e1c l\u00e0 g\u00ec<\/a><\/li><li><a href=\"#Du_lieu\"><span class=\"toc_number toc_depth_1\">2<\/span>  D\u1eef li\u1ec7u <\/a><\/li><li><a href=\"#Cac_buoc_lien_Quan\"><span class=\"toc_number toc_depth_1\">3<\/span> C\u00e1c b\u01b0\u1edbc li\u00ean Quan<\/a><\/li><li><a href=\"#Dua_tren_bo_nho\"><span class=\"toc_number toc_depth_1\">4<\/span> D\u1eefa tr\u00ean b\u1ed9 nh\u1edb<\/a><\/li><li><a href=\"#Dua_tren_model\"><span class=\"toc_number toc_depth_1\">5<\/span> D\u1ef1a tr\u00ean model<\/a><\/li><li><a href=\"#Su_dung_python_xay_dung_cong_cu_de_xuat\"><span class=\"toc_number toc_depth_1\">6<\/span> S\u1eed d\u00f9ng python x\u00e2y d\u1ef1ng c\u00f4ng c\u1ee5 \u0111\u1ec1 xu\u1ea5t<\/a><\/li><li><a href=\"#Khi_nao_thi_can_su_dung_tinh_nang_loc_cong_tac\"><span class=\"toc_number toc_depth_1\">7<\/span> Khi n\u00e0o th\u00ec c\u1ea7n s\u1eed d\u1ee5ng t\u00ednh n\u0103ng l\u1ecdc c\u1ed9ng t\u00e1c<\/a><\/li><li><a href=\"#Ket_luan\"><span class=\"toc_number toc_depth_1\">8<\/span> K\u1ebft lu\u1eadn<\/a><\/li><\/ul><\/div>\n<h2><span id=\"Loc_cong_tac_la_gi\"> L\u1ecdc c\u1ed9ng t\u00e1c l\u00e0 g\u00ec<\/span><\/h2>\n\nL\u1ecdc c\u1ed9ng t\u00e1c l\u00e0 m\u1ed9t k\u1ef9 thu\u1eadt c\u00f3 th\u1ec3 l\u1ecdc ra c\u00e1c m\u1ee5c m\u00e0 ng\u01b0\u1eddi d\u00f9ng c\u00f3 th\u1ec3 th\u00edch tr\u00ean c\u01a1 s\u1edf ph\u1ea3n \u1ee9ng c\u1ee7a nh\u1eefng ng\u01b0\u1eddi d\u00f9ng t\u01b0\u01a1ng t\u1ef1.\n\nN\u00f3 ho\u1ea1t \u0111\u1ed9ng b\u1eb1ng c\u00e1ch t\u00ecm ki\u1ebfm m\u1ed9t nh\u00f3m l\u1edbn ng\u01b0\u1eddi v\u00e0 t\u00ecm m\u1ed9t nh\u00f3m ng\u01b0\u1eddi d\u00f9ng nh\u1ecf h\u01a1n c\u00f3 th\u1ecb hi\u1ebfu t\u01b0\u01a1ng t\u1ef1 nh\u01b0 m\u1ed9t ng\u01b0\u1eddi d\u00f9ng c\u1ee5 th\u1ec3. N\u00f3 xem x\u00e9t c\u00e1c m\u1ee5c h\u1ecd th\u00edch v\u00e0 k\u1ebft h\u1ee3p ch\u00fang \u0111\u1ec3 t\u1ea1o ra m\u1ed9t danh s\u00e1ch \u0111\u1ec1 xu\u1ea5t \u0111\u01b0\u1ee3c x\u1ebfp h\u1ea1ng.\n\nC\u00f3 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 quy\u1ebft \u0111\u1ecbnh ng\u01b0\u1eddi d\u00f9ng n\u00e0o gi\u1ed1ng nhau v\u00e0 k\u1ebft h\u1ee3p c\u00e1c l\u1ef1a ch\u1ecdn c\u1ee7a h\u1ecd \u0111\u1ec3 t\u1ea1o danh s\u00e1ch \u0111\u1ec1 xu\u1ea5t. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd h\u01b0\u1edbng d\u1eabn b\u1ea1n c\u00e1ch th\u1ef1c hi\u1ec7n \u0111i\u1ec1u \u0111\u00f3 v\u1edbi Python.\nH\u1ea7u h\u1ebft c\u00e1c trang web nh\u01b0 Amazon, YouTube v\u00e0 Netflix s\u1eed d\u1ee5ng t\u00ednh n\u0103ng l\u1ecdc c\u1ed9ng t\u00e1c nh\u01b0 m\u1ed9t ph\u1ea7n c\u1ee7a h\u1ec7 th\u1ed1ng recommender c\u1ee7a h\u1ecd. B\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng k\u1ef9 thu\u1eadt n\u00e0y \u0111\u1ec3 x\u00e2y d\u1ef1ng \u1ee9ng d\u1ee5ng \u0111\u01b0a ra \u0111\u1ec1 xu\u1ea5t cho ng\u01b0\u1eddi d\u00f9ng tr\u00ean c\u01a1 s\u1edf l\u01b0\u1ee3t th\u00edch v\u00e0 kh\u00f4ng th\u00edch c\u1ee7a nh\u1eefng ng\u01b0\u1eddi d\u00f9ng t\u01b0\u01a1ng t\u1ef1.\n<h2><span id=\"Du_lieu\"> D\u1eef li\u1ec7u <\/span><\/h2>\nV\u1edbi b\u1ea5t k\u00ec b\u00e0i to\u00e1n h\u1ecdc m\u00e1y n\u00e0o th\u00ec vi\u1ec7c \u0111\u1ea7u ti\u00ean ch\u00fang ta c\u1ea7n chu\u1ea9n b\u1ecb \u0111\u00f3 l\u00e0 data. \n\u0110\u1ec3 th\u1eed nghi\u1ec7m v\u1edbi c\u00e1c thu\u1eadt to\u00e1n \u0111\u1ec1 xu\u1ea5t, b\u1ea1n s\u1ebd c\u1ea7n d\u1eef li\u1ec7u ch\u1ee9a m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c m\u1ee5c v\u00e0 m\u1ed9t t\u1eadp h\u1ee3p ng\u01b0\u1eddi d\u00f9ng \u0111\u00e3 ph\u1ea3n \u1ee9ng v\u1edbi m\u1ed9t s\u1ed1 m\u1ee5c.\n\nPh\u1ea3n \u1ee9ng c\u00f3 th\u1ec3 r\u00f5 r\u00e0ng (\u0111\u00e1nh gi\u00e1 tr\u00ean thang \u0111i\u1ec3m t\u1eeb 1 \u0111\u1ebfn 5, th\u00edch ho\u1eb7c kh\u00f4ng th\u00edch) ho\u1eb7c ng\u1ea7m (xem m\u1ed9t m\u1ee5c, th\u00eam n\u00f3 v\u00e0o danh s\u00e1ch mong mu\u1ed1n, th\u1eddi gian d\u00e0nh cho m\u1ed9t b\u00e0i b\u00e1o).\n\nTrong khi l\u00e0m vi\u1ec7c v\u1edbi nh\u1eefng d\u1eef li\u1ec7u nh\u01b0 v\u1eady, h\u1ea7u nh\u01b0 b\u1ea1n s\u1ebd th\u1ea5y n\u00f3 \u1edf d\u1ea1ng ma tr\u1eadn bao g\u1ed3m c\u00e1c ph\u1ea3n \u1ee9ng do m\u1ed9t nh\u00f3m ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra \u0111\u1ed1i v\u1edbi m\u1ed9t s\u1ed1 m\u1ee5c t\u1eeb m\u1ed9t nh\u00f3m c\u00e1c m\u1ee5c. M\u1ed7i h\u00e0ng s\u1ebd ch\u1ee9a c\u00e1c x\u1ebfp h\u1ea1ng do ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra v\u00e0 m\u1ed7i c\u1ed9t s\u1ebd ch\u1ee9a c\u00e1c x\u1ebfp h\u1ea1ng m\u00e0 m\u1ed9t m\u1ee5c nh\u1eadn \u0111\u01b0\u1ee3c. M\u1ed9t ma tr\u1eadn v\u1edbi n\u0103m ng\u01b0\u1eddi d\u00f9ng v\u00e0 n\u0103m m\u1ee5c c\u00f3 th\u1ec3 tr\u00f4ng nh\u01b0 th\u1ebf n\u00e0y:\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"944\" height=\"848\" src=\"http:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17.png\" alt=\"\" class=\"wp-image-1525\" srcset=\"https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17.png 944w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17-600x539.png 600w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17-300x269.png 300w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17-768x690.png 768w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17-696x625.png 696w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-17-468x420.png 468w\" sizes=\"(max-width: 944px) 100vw, 944px\" \/><figcaption>Rating matrix <\/figcaption><\/figure>\n\n\n\n<p>Ma tr\u1eadn hi\u1ec3n th\u1ecb n\u0103m ng\u01b0\u1eddi d\u00f9ng \u0111\u00e3 x\u1ebfp h\u1ea1ng m\u1ed9t s\u1ed1 m\u1eb7t h\u00e0ng tr\u00ean thang \u0111i\u1ec3m t\u1eeb 1 \u0111\u1ebfn 5. V\u00ed d\u1ee5: ng\u01b0\u1eddi d\u00f9ng \u0111\u1ea7u ti\u00ean \u0111\u00e3 x\u1ebfp h\u1ea1ng 4 cho m\u1eb7t h\u00e0ng th\u1ee9 ba.<\/p>\n\n\n\n<p>Trong h\u1ea7u h\u1ebft c\u00e1c tr\u01b0\u1eddng h\u1ee3p, c\u00e1c \u00f4 trong ma tr\u1eadn tr\u1ed1ng v\u00ec ng\u01b0\u1eddi d\u00f9ng ch\u1ec9 x\u1ebfp h\u1ea1ng m\u1ed9t v\u00e0i m\u1ee5c. R\u1ea5t kh\u00f3 c\u00f3 kh\u1ea3 n\u0103ng m\u1ecdi ng\u01b0\u1eddi d\u00f9ng \u0111\u00e1nh gi\u00e1 ho\u1eb7c ph\u1ea3n \u1ee9ng v\u1edbi m\u1ecdi m\u1eb7t h\u00e0ng c\u00f3 s\u1eb5n. M\u1ed9t ma tr\u1eadn v\u1edbi h\u1ea7u h\u1ebft c\u00e1c \u00f4 tr\u1ed1ng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 th\u01b0a v\u00e0 ng\u01b0\u1ee3c l\u1ea1i v\u1edbi ma tr\u1eadn \u0111\u00f3 (ma tr\u1eadn ch\u1ee7 y\u1ebfu \u0111\u01b0\u1ee3c l\u1ea5p \u0111\u1ea7y) \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 d\u00e0y \u0111\u1eb7c.<\/p>\n\n\n\n<p>C\u00f3 r\u1ea5t nhi\u1ec1u b\u1ed9 d\u1eef li\u1ec7u \u0111\u00e3 \u0111\u01b0\u1ee3c thu th\u1eadp v\u00e0 cung c\u1ea5p cho c\u00f4ng ch\u00fang \u0111\u1ec3 nghi\u00ean c\u1ee9u v\u00e0 \u0111\u00e1nh gi\u00e1 ti\u00eau chu\u1ea9n. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 danh s\u00e1ch c\u00e1c ngu\u1ed3n d\u1eef li\u1ec7u ch\u1ea5t l\u01b0\u1ee3ng cao m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 ch\u1ecdn.<\/p>\n\n\n\n<p>T\u1ed1t nh\u1ea5t \u0111\u1ec3 b\u1eaft \u0111\u1ea7u s\u1ebd l\u00e0 t\u1eadp d\u1eef li\u1ec7u MovieLens do GroupLens Research thu th\u1eadp. \u0110\u1eb7c bi\u1ec7t, t\u1eadp d\u1eef li\u1ec7u MovieLens 100k l\u00e0 t\u1eadp d\u1eef li\u1ec7u chu\u1ea9n \u1ed5n \u0111\u1ecbnh v\u1edbi 100.000 x\u1ebfp h\u1ea1ng do 943 ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra cho 1682 phim, v\u1edbi m\u1ed7i ng\u01b0\u1eddi d\u00f9ng \u0111\u00e3 x\u1ebfp h\u1ea1ng \u00edt nh\u1ea5t 20 phim.<\/p>\n\n\n\n<p>T\u1eadp d\u1eef li\u1ec7u n\u00e0y bao g\u1ed3m nhi\u1ec1u t\u1ec7p ch\u1ee9a th\u00f4ng tin v\u1ec1 phim, ng\u01b0\u1eddi d\u00f9ng v\u00e0 x\u1ebfp h\u1ea1ng do ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra cho phim h\u1ecd \u0111\u00e3 xem. Nh\u1eefng th\u1ee9 \u0111\u01b0\u1ee3c quan t\u00e2m l\u00e0:<\/p>\n\n\n\n<p>u.item: danh s\u00e1ch phim<br>u.data: danh s\u00e1ch x\u1ebfp h\u1ea1ng do ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra<br>T\u1ec7p u.data ch\u1ee9a x\u1ebfp h\u1ea1ng l\u00e0 danh s\u00e1ch \u0111\u01b0\u1ee3c ph\u00e2n t\u00e1ch b\u1eb1ng tab g\u1ed3m ID ng\u01b0\u1eddi d\u00f9ng, ID m\u1ee5c, x\u1ebfp h\u1ea1ng v\u00e0 d\u1ea5u th\u1eddi gian. V\u00e0i d\u00f2ng \u0111\u1ea7u ti\u00ean c\u1ee7a t\u1ec7p tr\u00f4ng nh\u01b0 th\u1ebf n\u00e0y:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"642\" src=\"http:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-1024x642.png\" alt=\"\" class=\"wp-image-1526\" srcset=\"https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-1024x642.png 1024w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-600x376.png 600w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-300x188.png 300w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-768x482.png 768w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-696x437.png 696w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-1068x670.png 1068w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18-670x420.png 670w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-18.png 1352w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>5 d\u00f2ng \u0111\u1ea7u ti\u00ean c\u1ee7a d\u1eef li\u1ec7u MovieLens 100k Data<\/figcaption><\/figure>\n\n\n\n<p>Nh\u01b0 \u0111\u00e3 n\u00f3i \u1edf tr\u00ean, t\u1ec7p ch\u1ec9 ra c\u00e1i n\u00e0o l\u00e0 \u0111\u00e1nh gi\u00e1 c\u1ee7a ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra cho m\u1ed7i video. T\u1ec7p bao g\u1ed3m 100000 ratings, c\u00e1i m\u00e0 s\u1ebd gi\u00fap d\u1ef1 \u0111o\u00e1n nh\u1eefng ratings c\u1ee7a movi\u00e9 kh\u00f4ng nh\u00ecn th\u1ea5y b\u1edfi ng\u01b0\u1eddi d\u00f9ng. <\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"Cac_buoc_lien_Quan\">C\u00e1c b\u01b0\u1edbc li\u00ean Quan<\/span><\/h2>\n\n\n\n<p>\u0110\u1ec3 x\u00e2y d\u1ef1ng m\u1ed9t h\u1ec7 th\u1ed1ng c\u00f3 th\u1ec3 t\u1ef1 \u0111\u1ed9ng gi\u1edbi thi\u1ec7u m\u1eb7t h\u00e0ng cho ng\u01b0\u1eddi d\u00f9ng d\u1ef1a tr\u00ean s\u1edf th\u00edch c\u1ee7a ng\u01b0\u1eddi d\u00f9ng kh\u00e1c, b\u01b0\u1edbc \u0111\u1ea7u ti\u00ean l\u00e0 t\u00ecm ng\u01b0\u1eddi d\u00f9ng ho\u1eb7c m\u1eb7t h\u00e0ng t\u01b0\u01a1ng t\u1ef1. B\u01b0\u1edbc th\u1ee9 hai l\u00e0 d\u1ef1 \u0111o\u00e1n x\u1ebfp h\u1ea1ng c\u1ee7a c\u00e1c m\u1ee5c ch\u01b0a \u0111\u01b0\u1ee3c ng\u01b0\u1eddi d\u00f9ng x\u1ebfp h\u1ea1ng. V\u00ec v\u1eady, b\u1ea1n s\u1ebd c\u1ea7n c\u00e2u tr\u1ea3 l\u1eddi cho nh\u1eefng c\u00e2u h\u1ecfi n\u00e0y:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>L\u00e0m c\u00e1ch n\u00e0o \u0111\u1ec3 b\u1ea1n x\u00e1c \u0111\u1ecbnh ng\u01b0\u1eddi d\u00f9ng ho\u1eb7c m\u1eb7t h\u00e0ng n\u00e0o t\u01b0\u01a1ng t\u1ef1 v\u1edbi nhau?<\/li><li>Cho r\u1eb1ng b\u1ea1n bi\u1ebft nh\u1eefng ng\u01b0\u1eddi d\u00f9ng n\u00e0o t\u01b0\u01a1ng t\u1ef1 nhau, l\u00e0m c\u00e1ch n\u00e0o \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh x\u1ebfp h\u1ea1ng m\u00e0 ng\u01b0\u1eddi d\u00f9ng s\u1ebd cung c\u1ea5p cho m\u1ed9t m\u1eb7t h\u00e0ng d\u1ef1a tr\u00ean x\u1ebfp h\u1ea1ng c\u1ee7a nh\u1eefng ng\u01b0\u1eddi d\u00f9ng t\u01b0\u01a1ng t\u1ef1?<\/li><li>L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 b\u1ea1n \u0111o l\u01b0\u1eddng \u0111\u1ed9 ch\u00ednh x\u00e1c c\u1ee7a x\u1ebfp h\u1ea1ng b\u1ea1n t\u00ednh to\u00e1n?<\/li><\/ul>\n\n\n\n<p><strong>Hai c\u00e2u h\u1ecfi \u0111\u1ea7u ti\u00ean<\/strong> kh\u00f4ng c\u00f3 c\u00e2u tr\u1ea3 l\u1eddi duy nh\u1ea5t. L\u1ecdc c\u1ed9ng t\u00e1c l\u00e0 m\u1ed9t nh\u00f3m thu\u1eadt to\u00e1n trong \u0111\u00f3 c\u00f3 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 t\u00ecm ng\u01b0\u1eddi d\u00f9ng ho\u1eb7c m\u1ee5c t\u01b0\u01a1ng t\u1ef1 v\u00e0 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 t\u00ednh to\u00e1n x\u1ebfp h\u1ea1ng d\u1ef1a tr\u00ean x\u1ebfp h\u1ea1ng c\u1ee7a nh\u1eefng ng\u01b0\u1eddi d\u00f9ng t\u01b0\u01a1ng t\u1ef1. T\u00f9y thu\u1ed9c v\u00e0o l\u1ef1a ch\u1ecdn b\u1ea1n th\u1ef1c hi\u1ec7n, b\u1ea1n s\u1ebd c\u00f3 m\u1ed9t lo\u1ea1i ph\u01b0\u01a1ng ph\u00e1p l\u1ecdc c\u1ed9ng t\u00e1c.<\/p>\n\n\n\n<p>M\u1ed9t \u0111i\u1ec1u quan tr\u1ecdng c\u1ea7n l\u01b0u \u00fd l\u00e0 trong c\u00e1ch ti\u1ebfp c\u1eadn ho\u00e0n to\u00e0n d\u1ef1a tr\u00ean l\u1ecdc c\u1ed9ng t\u00e1c, s\u1ef1 t\u01b0\u01a1ng \u0111\u1ed3ng kh\u00f4ng \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng c\u00e1c y\u1ebfu t\u1ed1 nh\u01b0 \u0111\u1ed9 tu\u1ed5i c\u1ee7a ng\u01b0\u1eddi d\u00f9ng, th\u1ec3 lo\u1ea1i phim ho\u1eb7c b\u1ea5t k\u1ef3 d\u1eef li\u1ec7u n\u00e0o kh\u00e1c v\u1ec1 ng\u01b0\u1eddi d\u00f9ng ho\u1eb7c m\u1ee5c. N\u00f3 ch\u1ec9 \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n d\u1ef1a tr\u00ean x\u1ebfp h\u1ea1ng (r\u00f5 r\u00e0ng ho\u1eb7c \u1ea9n \u00fd) m\u00e0 ng\u01b0\u1eddi d\u00f9ng cung c\u1ea5p cho m\u1ed9t m\u1eb7t h\u00e0ng. <\/p>\n\n\n\n<p>V\u00ed d\u1ee5: hai ng\u01b0\u1eddi d\u00f9ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c coi l\u00e0 t\u01b0\u01a1ng t\u1ef1 nhau n\u1ebfu h\u1ecd \u0111\u01b0a ra c\u00f9ng x\u1ebfp h\u1ea1ng cho m\u01b0\u1eddi phim m\u1eb7c d\u00f9 c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t l\u1edbn v\u1ec1 tu\u1ed5i t\u00e1c c\u1ee7a h\u1ecd.<\/p>\n\n\n\n<p><strong>C\u00e2u h\u1ecfi th\u1ee9 ba<\/strong> v\u1ec1 c\u00e1ch \u0111o l\u01b0\u1eddng \u0111\u1ed9 ch\u00ednh x\u00e1c c\u1ee7a c\u00e1c d\u1ef1 \u0111o\u00e1n c\u1ee7a b\u1ea1n c\u0169ng c\u00f3 nhi\u1ec1u c\u00e2u tr\u1ea3 l\u1eddi, bao g\u1ed3m c\u00e1c k\u1ef9 thu\u1eadt t\u00ednh to\u00e1n sai s\u1ed1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u1edf nhi\u1ec1u n\u01a1i v\u00e0 kh\u00f4ng ch\u1ec9 nh\u1eefng ng\u01b0\u1eddi \u0111\u1ec1 xu\u1ea5t d\u1ef1a tr\u00ean l\u1ecdc c\u1ed9ng t\u00e1c.<\/p>\n\n\n\n<p>M\u1ed9t trong nh\u1eefng c\u00e1ch ti\u1ebfp c\u1eadn \u0111\u1ec3 \u0111o \u0111\u1ed9 ch\u00ednh x\u00e1c c\u1ee7a k\u1ebft qu\u1ea3 c\u1ee7a b\u1ea1n l\u00e0 <em>L\u1ed7i b\u00ecnh ph\u01b0\u01a1ng trung b\u00ecnh g\u1ed1c (RMSE)<\/em>, trong \u0111\u00f3 b\u1ea1n d\u1ef1 \u0111o\u00e1n x\u1ebfp h\u1ea1ng cho t\u1eadp d\u1eef li\u1ec7u th\u1eed nghi\u1ec7m c\u1ee7a c\u00e1c c\u1eb7p m\u1ee5c ng\u01b0\u1eddi d\u00f9ng c\u00f3 gi\u00e1 tr\u1ecb x\u1ebfp h\u1ea1ng \u0111\u00e3 \u0111\u01b0\u1ee3c bi\u1ebft tr\u01b0\u1edbc. S\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa gi\u00e1 tr\u1ecb \u0111\u00e3 bi\u1ebft v\u00e0 gi\u00e1 tr\u1ecb d\u1ef1 \u0111o\u00e1n s\u1ebd l\u00e0 sai s\u1ed1. B\u00ecnh ph\u01b0\u01a1ng t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb l\u1ed7i cho t\u1eadp ki\u1ec3m tra, t\u00ecm gi\u00e1 tr\u1ecb trung b\u00ecnh (ho\u1eb7c gi\u00e1 tr\u1ecb trung b\u00ecnh), sau \u0111\u00f3 l\u1ea5y c\u0103n b\u1eadc hai c\u1ee7a gi\u00e1 tr\u1ecb trung b\u00ecnh \u0111\u00f3 \u0111\u1ec3 l\u1ea5y RMSE.<\/p>\n\n\n\n<p>M\u1ed9t s\u1ed1 li\u1ec7u kh\u00e1c \u0111\u1ec3 \u0111o \u0111\u1ed9 ch\u00ednh x\u00e1c l\u00e0 <em>Sai s\u1ed1 tuy\u1ec7t \u0111\u1ed1i trung b\u00ecnh (MAE)<\/em>, trong \u0111\u00f3 b\u1ea1n t\u00ecm \u0111\u1ed9 l\u1edbn c\u1ee7a l\u1ed7i b\u1eb1ng c\u00e1ch t\u00ecm gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a n\u00f3 v\u00e0 sau \u0111\u00f3 l\u1ea5y gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb l\u1ed7i.<\/p>\n\n\n\n<p>B\u1ea1n kh\u00f4ng c\u1ea7n ph\u1ea3i lo l\u1eafng v\u1ec1 c\u00e1c chi ti\u1ebft c\u1ee7a RMSE ho\u1eb7c MAE t\u1ea1i th\u1eddi \u0111i\u1ec3m n\u00e0y v\u00ec ch\u00fang c\u00f3 s\u1eb5n nh\u01b0 m\u1ed9t ph\u1ea7n c\u1ee7a c\u00e1c g\u00f3i kh\u00e1c nhau trong Python.<\/p>\n\n\n\n<p>B\u00e2y gi\u1edd, h\u00e3y xem x\u00e9t c\u00e1c lo\u1ea1i thu\u1eadt to\u00e1n kh\u00e1c nhau trong nh\u00f3m l\u1ecdc c\u1ed9ng t\u00e1c.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"Dua_tren_bo_nho\">D\u1eefa tr\u00ean b\u1ed9 nh\u1edb<\/span><\/h2>\n\n\n\n<p>Lo\u1ea1i \u0111\u1ea7u ti\u00ean bao g\u1ed3m c\u00e1c thu\u1eadt to\u00e1n d\u1ef1a tr\u00ean b\u1ed9 nh\u1edb, trong \u0111\u00f3 c\u00e1c k\u1ef9 thu\u1eadt th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng cho to\u00e0n b\u1ed9 t\u1eadp d\u1eef li\u1ec7u \u0111\u1ec3 t\u00ednh to\u00e1n c\u00e1c d\u1ef1 \u0111o\u00e1n.<\/p>\n\n\n\n<p>\u0110\u1ec3 t\u00ecm x\u1ebfp h\u1ea1ng R m\u00e0 ng\u01b0\u1eddi d\u00f9ng U s\u1ebd cho m\u1ed9t m\u1ee5c I, c\u00e1ch ti\u1ebfp c\u1eadn bao g\u1ed3m:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>T\u00ecm nh\u1eefng ng\u01b0\u1eddi d\u00f9ng t\u01b0\u01a1ng t\u1ef1 nh\u01b0 U \u0111\u00e3 x\u1ebfp h\u1ea1ng m\u1ee5c I<\/li><li>T\u00ednh x\u1ebfp h\u1ea1ng R d\u1ef1a tr\u00ean x\u1ebfp h\u1ea1ng c\u1ee7a ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0\u1ee3c t\u00ecm th\u1ea5y \u1edf b\u01b0\u1edbc tr\u01b0\u1edbc<\/li><\/ul>\n\n\n\n<p>C\u00e1ch t\u00ecm ng\u01b0\u1eddi d\u00f9ng t\u01b0\u01a1ng t\u1ef1 tr\u00ean c\u01a1 s\u1edf x\u1ebfp h\u1ea1ng<br>\u0110\u1ec3 hi\u1ec3u kh\u00e1i ni\u1ec7m v\u1ec1 s\u1ef1 gi\u1ed1ng nhau, tr\u01b0\u1edbc ti\u00ean ch\u00fang ta h\u00e3y t\u1ea1o m\u1ed9t t\u1eadp d\u1eef li\u1ec7u \u0111\u01a1n gi\u1ea3n.<\/p>\n\n\n\n<p>D\u1eef li\u1ec7u bao g\u1ed3m b\u1ed1n ng\u01b0\u1eddi d\u00f9ng A, B, C v\u00e0 D, nh\u1eefng ng\u01b0\u1eddi \u0111\u00e3 x\u1ebfp h\u1ea1ng hai b\u1ed9 phim. X\u1ebfp h\u1ea1ng \u0111\u01b0\u1ee3c l\u01b0u tr\u1eef trong danh s\u00e1ch v\u00e0 m\u1ed7i danh s\u00e1ch c\u00f3 hai s\u1ed1 cho bi\u1ebft x\u1ebfp h\u1ea1ng c\u1ee7a t\u1eebng phim:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>X\u1ebfp h\u1ea1ng c\u1ee7a A l\u00e0 [1,0, 2,0].<\/li><li>X\u1ebfp h\u1ea1ng c\u1ee7a B l\u00e0 [2.0, 4.0].<\/li><li>X\u1ebfp h\u1ea1ng c\u1ee7a C l\u00e0 [2,5, 4,0].<\/li><li>X\u1ebfp h\u1ea1ng c\u1ee7a D l\u00e0 [4,5, 5,0].<br><\/li><\/ul>\n\n\n\n<p>\u0110\u1ec3 b\u1eaft \u0111\u1ea7u v\u1edbi manh m\u1ed1i tr\u1ef1c quan, h\u00e3y v\u1ebd bi\u1ec3u \u0111\u1ed3 x\u1ebfp h\u1ea1ng c\u1ee7a hai b\u1ed9 phim do ng\u01b0\u1eddi d\u00f9ng \u0111\u01b0a ra tr\u00ean bi\u1ec3u \u0111\u1ed3 v\u00e0 t\u00ecm ki\u1ebfm m\u1ed9t m\u1eabu. Bi\u1ec3u \u0111\u1ed3 tr\u00f4ng nh\u01b0 sau:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1022\" height=\"656\" src=\"http:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19.png\" alt=\"\" class=\"wp-image-1527\" srcset=\"https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19.png 1022w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19-600x385.png 600w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19-300x193.png 300w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19-768x493.png 768w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19-696x447.png 696w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-19-654x420.png 654w\" sizes=\"(max-width: 1022px) 100vw, 1022px\" \/><\/figure>\n\n\n\n<p>d\u1ef1a tr\u00ean bi\u1ec3u \u0111\u1ed3 tr\u00ean, m\u1ed7i \u0111i\u1ec3m t\u01b0\u1ee3ng trung cho ng\u01b0\u1eddi d\u00f9ng v\u00e0 n\u00f3 \u0111\u01b0\u1ee3c v\u1ebd d\u1ef1a tr\u00ean 2 video. Nh\u00ecn v\u00e0o kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c \u0111i\u1ec3m d\u01b0\u1eddng nh\u01b0 l\u00e0 m\u1ed9t c\u00e1ch t\u1ed1t \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 \u0111\u1ed9 t\u01b0\u01a1ng t\u01b0\u01a1ng t\u1ef1? B\u1ea1n c\u00f3 th\u1ec3 t\u00ecm kho\u1ea3ng c\u00e1ch b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c \u0111o kho\u1ea3ng c\u00e1ch gi\u1eefa 2 \u0111i\u1ec3m b\u1eb1ng python nh\u01b0 sau:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"613\" height=\"309\" src=\"http:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.23.30-AM.png\" alt=\"\" class=\"wp-image-1528\" srcset=\"https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.23.30-AM.png 613w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.23.30-AM-600x302.png 600w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.23.30-AM-300x151.png 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><\/figure>\n\n\n\n<p>Nh\u01b0 h\u00ecnh tr\u00ean, b\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng scipy.spatial.distance.euclidean \u0111\u1ec3 t\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m. S\u1eed d\u1ee5ng n\u00f3 \u0111\u1ec3 t\u00ednh to\u00e1n kho\u1ea3ng c\u00e1ch gi\u1eefa x\u1ebfp h\u1ea1ng c\u1ee7a A, B v\u00e0 D so v\u1edbi x\u1ebfp h\u1ea1ng c\u1ee7a C cho ch\u00fang ta th\u1ea5y r\u1eb1ng v\u1ec1 kho\u1ea3ng c\u00e1ch, x\u1ebfp h\u1ea1ng c\u1ee7a C g\u1ea7n nh\u1ea5t v\u1edbi x\u1ebfp h\u1ea1ng c\u1ee7a B.<\/p>\n\n\n\n<p>B\u1ea1n c\u00f3 th\u1ec3 th\u1ea5y r\u1eb1ng ng\u01b0\u1eddi d\u00f9ng C g\u1ea7n nh\u1ea5t v\u1edbi B ngay c\u1ea3 khi nh\u00ecn v\u00e0o bi\u1ec3u \u0111\u1ed3. Nh\u01b0ng ngo\u00e0i A v\u00e0 D, C t\u01b0\u01a1ng t\u1ef1 v\u1edbi ai h\u01a1n?<\/p>\n\n\n\n<p>B\u1ea1n c\u00f3 th\u1ec3 n\u00f3i C g\u1ea7n D h\u01a1n v\u1ec1 kho\u1ea3ng c\u00e1ch. Nh\u01b0ng nh\u00ecn v\u00e0o b\u1ea3ng x\u1ebfp h\u1ea1ng, c\u00f3 v\u1ebb nh\u01b0 l\u1ef1a ch\u1ecdn c\u1ee7a C s\u1ebd ph\u00f9 h\u1ee3p v\u1edbi A h\u01a1n l\u00e0 D v\u00ec c\u1ea3 A v\u00e0 C \u0111\u1ec1u th\u00edch b\u1ed9 phim th\u1ee9 hai g\u1ea7n g\u1ea5p \u0111\u00f4i so v\u1edbi b\u1ed9 phim \u0111\u1ea7u ti\u00ean, nh\u01b0ng D th\u00edch c\u1ea3 hai b\u1ed9 phim \u0111\u00f3. b\u1eb1ng nhau.<\/p>\n\n\n\n<p>V\u00ec v\u1eady, b\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng g\u00ec \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh c\u00e1c m\u1eabu m\u00e0 kho\u1ea3ng c\u00e1ch Euclide kh\u00f4ng th\u1ec3? C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng g\u00f3c gi\u1eefa c\u00e1c \u0111\u01b0\u1eddng n\u1ed1i c\u00e1c \u0111i\u1ec3m v\u1edbi \u0111i\u1ec3m g\u1ed1c \u0111\u1ec3 \u0111\u01b0a ra quy\u1ebft \u0111\u1ecbnh kh\u00f4ng? B\u1ea1n c\u00f3 th\u1ec3 xem g\u00f3c gi\u1eefa c\u00e1c \u0111\u01b0\u1eddng n\u1ed1i \u0111i\u1ec3m g\u1ed1c c\u1ee7a bi\u1ec3u \u0111\u1ed3 v\u1edbi c\u00e1c \u0111i\u1ec3m t\u01b0\u01a1ng \u1ee9ng nh\u01b0 h\u00ecnh minh h\u1ecda:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1010\" height=\"650\" src=\"http:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20.png\" alt=\"\" class=\"wp-image-1529\" srcset=\"https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20.png 1010w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20-600x386.png 600w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20-300x193.png 300w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20-768x494.png 768w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20-696x448.png 696w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/image-20-653x420.png 653w\" sizes=\"(max-width: 1010px) 100vw, 1010px\" \/><\/figure>\n\n\n\n<p>Bi\u1ec3u \u0111\u1ed3 cho th\u1ea5y b\u1ed1n \u0111\u01b0\u1eddng n\u1ed1i m\u1ed7i \u0111i\u1ec3m \u0111\u1ebfn \u0111i\u1ec3m g\u1ed1c. C\u00e1c \u0111\u01b0\u1eddng th\u1eb3ng c\u1ee7a A v\u00e0 B tr\u00f9ng nhau, l\u00e0m cho g\u00f3c gi\u1eefa ch\u00fang b\u1eb1ng kh\u00f4ng.<\/p>\n\n\n\n<p>B\u1ea1n c\u00f3 th\u1ec3 xem x\u00e9t r\u1eb1ng, n\u1ebfu g\u00f3c gi\u1eefa c\u00e1c \u0111\u01b0\u1eddng \u0111\u01b0\u1ee3c t\u0103ng l\u00ean, th\u00ec \u0111\u1ed9 t\u01b0\u01a1ng \u0111\u1ed3ng gi\u1ea3m xu\u1ed1ng, v\u00e0 n\u1ebfu g\u00f3c b\u1eb1ng 0, th\u00ec ng\u01b0\u1eddi d\u00f9ng r\u1ea5t gi\u1ed1ng nhau.<\/p>\n\n\n\n<p>\u0110\u1ec3 t\u00ednh \u0111\u1ed9 t\u01b0\u01a1ng t\u1ef1 b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng g\u00f3c, b\u1ea1n c\u1ea7n m\u1ed9t h\u00e0m tr\u1ea3 v\u1ec1 \u0111\u1ed9 t\u01b0\u01a1ng t\u1ef1 cao h\u01a1n ho\u1eb7c kho\u1ea3ng c\u00e1ch nh\u1ecf h\u01a1n cho g\u00f3c th\u1ea5p h\u01a1n v\u00e0 \u0111\u1ed9 t\u01b0\u01a1ng t\u1ef1 th\u1ea5p h\u01a1n ho\u1eb7c kho\u1ea3ng c\u00e1ch l\u1edbn h\u01a1n cho g\u00f3c cao h\u01a1n. C\u00f4sin c\u1ee7a m\u1ed9t g\u00f3c l\u00e0 m\u1ed9t h\u00e0m gi\u1ea3m t\u1eeb 1 \u0111\u1ebfn -1 khi g\u00f3c t\u0103ng t\u1eeb 0 \u0111\u1ebfn 180.<\/p>\n\n\n\n<p>B\u1ea1n c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng cosin c\u1ee7a g\u00f3c \u0111\u1ec3 t\u00ecm s\u1ef1 gi\u1ed1ng nhau gi\u1eefa hai ng\u01b0\u1eddi d\u00f9ng. G\u00f3c c\u00e0ng cao, cosine s\u1ebd c\u00e0ng th\u1ea5p v\u00e0 do \u0111\u00f3, m\u1ee9c \u0111\u1ed9 t\u01b0\u01a1ng \u0111\u1ed3ng c\u1ee7a ng\u01b0\u1eddi d\u00f9ng c\u00e0ng th\u1ea5p. B\u1ea1n c\u0169ng c\u00f3 th\u1ec3 ngh\u1ecbch \u0111\u1ea3o gi\u00e1 tr\u1ecb c\u1ee7a cosin c\u1ee7a g\u00f3c \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c kho\u1ea3ng c\u00e1ch cosin gi\u1eefa nh\u1eefng ng\u01b0\u1eddi d\u00f9ng b\u1eb1ng c\u00e1ch tr\u1eeb n\u00f3 cho 1. scipy c\u00f3 m\u1ed9t ch\u1ee9c n\u0103ng t\u00ednh kho\u1ea3ng c\u00e1ch cosin c\u1ee7a c\u00e1c vect\u01a1. N\u00f3 tr\u1ea3 v\u1ec1 gi\u00e1 tr\u1ecb cao h\u01a1n cho g\u00f3c cao h\u01a1n:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"398\" height=\"406\" src=\"http:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.28.39-AM.png\" alt=\"\" class=\"wp-image-1530\" srcset=\"https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.28.39-AM.png 398w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.28.39-AM-294x300.png 294w, https:\/\/cafe2sach.com\/wp-content\/uploads\/2022\/08\/Screen-Shot-2022-08-13-at-5.28.39-AM-356x364.png 356w\" sizes=\"(max-width: 398px) 100vw, 398px\" \/><\/figure>\n\n\n\n<p><em>C\u00f2n ti\u1ebfp c\u00e1c ph\u1ea7n sau m\u00ecnh s\u1ebd \u0111\u0103ng \u1edf ph\u1ea7n th\u1ee9 2 <\/em>trong m\u1ed9t b\u00e0i post kh\u00e1c!!! <\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"Dua_tren_model\">D\u1ef1a tr\u00ean model<\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"Su_dung_python_xay_dung_cong_cu_de_xuat\">S\u1eed d\u00f9ng python x\u00e2y d\u1ef1ng c\u00f4ng c\u1ee5 \u0111\u1ec1 xu\u1ea5t<\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"Khi_nao_thi_can_su_dung_tinh_nang_loc_cong_tac\">Khi n\u00e0o th\u00ec c\u1ea7n s\u1eed d\u1ee5ng t\u00ednh n\u0103ng l\u1ecdc c\u1ed9ng t\u00e1c<\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"Ket_luan\">K\u1ebft lu\u1eadn<\/span><\/h2>\n\n\n\n<p><\/p>\n\n\n\n<p>T\u00e0i li\u1ec7u tham kh\u1ea3o:<\/p>\n\n\n\n<p>Paper research:<a href=\"http:\/\/files.grouplens.org\/papers\/www10_sarwar.pdf\">http:\/\/files.grouplens.org\/papers\/www10_sarwar.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>N\u1ed9i dung ch&iacute;nh1 L\u1ecdc c\u1ed9ng t\u00e1c l\u00e0 g\u00ec2 D\u1eef li\u1ec7u 3 C\u00e1c b\u01b0\u1edbc li\u00ean Quan4 D\u1eefa tr\u00ean b\u1ed9 nh\u1edb5 D\u1ef1a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1529,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[250,565],"tags":[],"class_list":["post-1523","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-deep-learning","category-he-thong-khuyen-nghi-ai"],"_links":{"self":[{"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/posts\/1523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/comments?post=1523"}],"version-history":[{"count":3,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/posts\/1523\/revisions"}],"predecessor-version":[{"id":1532,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/posts\/1523\/revisions\/1532"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/media\/1529"}],"wp:attachment":[{"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/media?parent=1523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/categories?post=1523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cafe2sach.com\/index.php\/wp-json\/wp\/v2\/tags?post=1523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}