{"id":17,"date":"2026-05-17T14:55:38","date_gmt":"2026-05-17T14:55:38","guid":{"rendered":"https:\/\/huynhphusi.com\/?p=17"},"modified":"2026-05-17T14:55:38","modified_gmt":"2026-05-17T14:55:38","slug":"xay-dung-cay-quyet-dinh-decision-tree-hieu-ban-chat-entropy-va-gini-qua-vi-du-y-khoa-phan-1","status":"publish","type":"post","link":"https:\/\/huynhphusi.com\/index.php\/2026\/05\/17\/xay-dung-cay-quyet-dinh-decision-tree-hieu-ban-chat-entropy-va-gini-qua-vi-du-y-khoa-phan-1\/","title":{"rendered":"X\u00e2y d\u1ef1ng C\u00e2y quy\u1ebft \u0111\u1ecbnh (Decision Tree): Hi\u1ec3u b\u1ea3n ch\u1ea5t Entropy v\u00e0 Gini qua v\u00ed d\u1ee5 Y khoa (Ph\u1ea7n 1)"},"content":{"rendered":"\n<p>Trong th\u1ebf gi\u1edbi c\u1ee7a h\u1ecdc m\u00e1y, c\u00e2y quy\u1ebft \u0111\u1ecbnh lu\u00f4n l\u00e0 m\u1ed9t trong nh\u1eefng thu\u1eadt to\u00e1n \u0111\u01b0\u1ee3c y\u00eau th\u00edch nh\u1ea5t, \u0111\u1eb7c bi\u1ec7t l\u00e0 v\u1edbi nh\u1eefng ng\u01b0\u1eddi m\u1edbi b\u1eaft \u0111\u1ea7u.<\/p>\n\n\n\n<p>L\u00fd do r\u1ea5t \u0111\u01a1n gi\u1ea3n: Kh\u00e1c v\u1edbi c\u00e1c m\u00f4 h\u00ecnh &#8220;h\u1ed9p \u0111en&#8221; ph\u1ee9c t\u1ea1p nh\u01b0 Neural Networks &#8211; n\u01a1i b\u1ea1n kh\u00f4ng bi\u1ebft thu\u1eadt to\u00e1n ngh\u0129 g\u00ec, c\u00e2y quy\u1ebft \u0111\u1ecbnh l\u00e0 m\u1ed9t m\u00f4 h\u00ecnh &#8220;h\u1ed9p tr\u1eafng&#8221;. N\u00f3 m\u00f4 ph\u1ecfng l\u1ea1i ch\u00ednh x\u00e1c c\u00e1ch t\u01b0 duy logic c\u1ee7a con ng\u01b0\u1eddi. \u0110\u1ec3 \u0111\u01b0a ra m\u1ed9t quy\u1ebft \u0111\u1ecbnh cu\u1ed1i c\u00f9ng, m\u00f4 h\u00ecnh s\u1ebd li\u00ean t\u1ee5c \u0111\u1eb7t ra c\u00e1c c\u00e2u h\u1ecfi d\u1ea1ng <strong>C\u00f3\/Kh\u00f4ng<\/strong> t\u1eeb tr\u00ean xu\u1ed1ng d\u01b0\u1edbi, r\u1ebd nh\u00e1nh d\u1ea7n cho \u0111\u1ebfn khi t\u00ecm \u0111\u01b0\u1ee3c c\u00e2u tr\u1ea3 l\u1eddi.<\/p>\n\n\n\n<p>Tuy nhi\u00ean, c\u00f3 m\u1ed9t b\u00ed m\u1eadt to\u00e1n h\u1ecdc \u0111\u1eb1ng sau thu\u1eadt to\u00e1n n\u00e0y m\u00e0 nhi\u1ec1u ng\u01b0\u1eddi th\u01b0\u1eddng b\u1ecf qua khi g\u1ecdi th\u01b0 vi\u1ec7n: <strong>L\u00e0m sao m\u00e1y t\u00ednh bi\u1ebft n\u00ean \u0111\u1eb7t c\u00e2u h\u1ecfi n\u00e0o tr\u01b0\u1edbc, c\u00e2u h\u1ecfi n\u00e0o sau \u0111\u1ec3 vi\u1ec7c ph\u00e2n lo\u1ea1i \u0111\u1ea1t hi\u1ec7u qu\u1ea3 cao nh\u1ea5t?<\/strong><\/p>\n\n\n\n<p>\u0110\u00f3 ch\u00ednh l\u00e0 l\u00fac ch\u00fang ta c\u1ea7n \u0111\u1ebfn hai ch\u1ec9 s\u1ed1 \u0111o l\u01b0\u1eddng: <strong>Entropy<\/strong> v\u00e0 <strong>Gini<\/strong>. Trong b\u00e0i vi\u1ebft n\u00e0y, ch\u00fang ta s\u1ebd c\u00f9ng t\u1ef1 tay t\u00ednh to\u00e1n c\u00e1c ch\u1ec9 s\u1ed1 n\u00e0y \u0111\u1ec3 hi\u1ec3u r\u00f5 b\u1ea3n ch\u1ea5t c\u1ee7a ch\u00fang, t\u1eeb \u0111\u00f3 \u0111\u01b0a ra l\u1ef1a ch\u1ecdn ph\u00f9 h\u1ee3p nh\u1ea5t khi l\u1eadp tr\u00ecnh.<\/p>\n\n\n\n<p>\u0110\u1ec3 c\u00e1c c\u00f4ng th\u1ee9c to\u00e1n h\u1ecdc kh\u00f4ng tr\u1edf n\u00ean kh\u00f4 khan, ch\u00fang ta s\u1ebd \u00e1p d\u1ee5ng ch\u00fang v\u00e0o m\u1ed9t b\u00e0i to\u00e1n y khoa quen thu\u1ed9c: <strong>d\u1ef1 \u0111o\u00e1n xem m\u1ed9t ng\u01b0\u1eddi c\u00f3 b\u1ecb c\u1ea3m c\u00fam hay kh\u00f4ng d\u1ef1a tr\u00ean c\u00e1c tri\u1ec7u ch\u1ee9ng l\u00e2m s\u00e0ng nh\u01b0 s\u1ed1t, ho, \u0111au c\u01a1<\/strong>. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 d\u1eef li\u1ec7u gi\u1ea3 l\u1eadp c\u1ee7a 20 ng\u01b0\u1eddi m\u00e0 ch\u00fang ta s\u1ebd d\u00f9ng \u0111\u1ec3 x\u00e2y d\u1ef1ng c\u00e2y quy\u1ebft \u0111\u1ecbnh.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>ID<\/strong><\/td><td><strong>Ho (Ho khan\/c\u00f3 \u0111\u1eddm)<\/strong><\/td><td><strong>\u0110au nh\u1ee9c c\u01a1<\/strong><\/td><td><strong>S\u1ed1t (Nhi\u1ec7t \u0111\u1ed9)<\/strong><\/td><td><strong>Ch\u1ea9n \u0111o\u00e1n (Label)<\/strong><\/td><\/tr><\/thead><tbody><tr><td>1<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>2<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>3<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>4<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>5<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>6<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>7<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>8<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>9<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>10<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>11<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>12<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>13<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>14<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>15<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>16<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>17<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>18<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>19<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>20<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Bi\u1ebfn m\u1ee5c ti\u00eau (Target\/Label): <code>Ch\u1ea9n \u0111o\u00e1n<\/code> (C\u1ea3m c\u00fam \/ Kh\u00f4ng).<\/li>\n\n\n\n<li>C\u00e1c \u0111\u1eb7c tr\u01b0ng \u0111\u1ea7u v\u00e0o (Features):\n<ul class=\"wp-block-list\">\n<li>Ho: C\u00f3 \/ Kh\u00f4ng.<\/li>\n\n\n\n<li>\u0110au nh\u1ee9c c\u01a1: C\u00f3 \/ Kh\u00f4ng.<\/li>\n\n\n\n<li>S\u1ed1t: Kh\u00f4ng s\u1ed1t \/ S\u1ed1t nh\u1eb9 \/ S\u1ed1t cao.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>Nh\u00ecn l\u01b0\u1edbt qua b\u1ea3ng d\u1eef li\u1ec7u tr\u00ean. B\u1eb1ng tr\u1ef1c gi\u00e1c, ta c\u00f3 th\u1ec3 l\u1edd m\u1edd nh\u1eadn ra m\u1ed9t v\u00e0i quy lu\u1eadt: h\u00ecnh nh\u01b0 nh\u1eefng ng\u01b0\u1eddi &#8220;s\u1ed1t cao&#8221; th\u00ec \u0111a ph\u1ea7n \u0111\u1ec1u m\u1eafc c\u00fam, c\u00f2n nh\u1eefng ng\u01b0\u1eddi &#8220;kh\u00f4ng s\u1ed1t&#8221; th\u00ec th\u01b0\u1eddng an to\u00e0n h\u01a1n. Nh\u01b0ng v\u1edbi nh\u1eefng ca &#8220;s\u1ed1t nh\u1eb9&#8221; th\u00ec h\u00ean xui.<\/p>\n\n\n\n<p>M\u00e1y t\u00ednh kh\u00f4ng c\u00f3 tr\u1ef1c gi\u00e1c; n\u00f3 c\u1ea7n nh\u1eefng con s\u1ed1 \u0111\u1ecbnh l\u01b0\u1ee3ng ch\u00ednh x\u00e1c. Ti\u1ebfp theo \u0111\u00e2y, ch\u00fang ta s\u1ebd xem thu\u1eadt to\u00e1n c\u00e2y quy\u1ebft \u0111\u1ecbnh bi\u1ebfn nh\u1eefng &#8220;tr\u1ef1c gi\u00e1c&#8221; n\u00e0y th\u00e0nh c\u00e1c ph\u00e9p to\u00e1n nh\u01b0 th\u1ebf n\u00e0o \u0111\u1ec3 t\u00ecm ra n\u00fat g\u1ed1c.<\/p>\n\n\n\n<p>Tr\u01b0\u1edbc ti\u00ean, ch\u00fang ta c\u1ea7n c\u1eaft l\u1ea5y 80% c\u1ee7a t\u1eadp d\u1eef li\u1ec7u n\u00e0y (16 d\u00f2ng) \u0111\u1ec3 t\u00ednh to\u00e1n, 20% c\u00f2n l\u1ea1i (4 d\u00f2ng) s\u1ebd \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 ki\u1ec3m ch\u1ee9ng l\u1ea1i sau khi \u0111\u00e3 x\u00e2y d\u1ef1ng xong c\u00e2y quy\u1ebft \u0111\u1ecbnh. \u0110\u1ec3 \u0111\u01a1n gi\u1ea3n, t\u00f4i s\u1ebd l\u1ea5y lu\u00f4n 16 d\u00f2ng \u0111\u1ea7u.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>ID<\/strong><\/td><td><strong>Ho<\/strong><\/td><td><strong>\u0110au nh\u1ee9c c\u01a1<\/strong><\/td><td><strong>S\u1ed1t (Nhi\u1ec7t \u0111\u1ed9)<\/strong><\/td><td><strong>Ch\u1ea9n \u0111o\u00e1n (Label)<\/strong><\/td><\/tr><\/thead><tbody><tr><td>1<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>2<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>3<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>4<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>5<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>6<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>7<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>8<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>9<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>10<\/td><td>Kh\u00f4ng<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>11<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>12<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t cao<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>13<\/td><td>C\u00f3<\/td><td>C\u00f3<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>C\u1ea3m c\u00fam<\/strong><\/td><\/tr><tr><td>14<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>15<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng<\/td><td>Kh\u00f4ng s\u1ed1t<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><tr><td>16<\/td><td>C\u00f3<\/td><td>Kh\u00f4ng<\/td><td>S\u1ed1t nh\u1eb9<\/td><td><strong>Kh\u00f4ng<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u0110\u1ec3 x\u00e2y d\u1ef1ng c\u00e2y, ta c\u1ea7n t\u00ecm ra m\u1ed9t thu\u1ed9c t\u00ednh \u0111\u1ec3 l\u00e0m \u0111i\u1ec3m b\u1eaft \u0111\u1ea7u, g\u1ecdi l\u00e0 n\u00fat g\u1ed1c. N\u1ebfu l\u00e0 con ng\u01b0\u1eddi, b\u00e1c s\u0129 c\u00f3 th\u1ec3 d\u1ef1a v\u00e0o kinh nghi\u1ec7m l\u00e2m s\u00e0ng \u0111\u1ec3 h\u1ecfi v\u1ec1 t\u00ecnh tr\u1ea1ng s\u1ed1t tr\u01b0\u1edbc, ho tr\u01b0\u1edbc ho\u1eb7c \u0111au c\u01a1 tr\u01b0\u1edbc. Nh\u01b0ng m\u00e1y t\u00ednh th\u00ec kh\u00f4ng c\u00f3 kinh nghi\u1ec7m; n\u00f3 c\u1ea7n m\u1ed9t ti\u00eau ch\u00ed to\u00e1n h\u1ecdc r\u00f5 r\u00e0ng \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 xem thu\u1ed9c t\u00ednh n\u00e0o ph\u00f9 h\u1ee3p nh\u1ea5t. Ti\u00eau ch\u00ed \u0111\u00f3 l\u00e0 \u0111\u1ed9 thu\u1ea7n nh\u1ea5t (Purity)\u00a0v\u00e0 \u0111\u1ed9 v\u1ea9n \u0111\u1ee5c (Impurity).<\/p>\n\n\n\n<p>H\u00e3y nh\u00ecn v\u00e0o t\u1eadp d\u1eef li\u1ec7u 16 b\u1ec7nh nh\u00e2n c\u1ee7a ch\u00fang ta: c\u00f3 \u0111\u00fang 8 ng\u01b0\u1eddi m\u1eafc c\u00fam v\u00e0 8 ng\u01b0\u1eddi kh\u00f4ng m\u1eafc c\u00fam. Tr\u1ea1ng th\u00e1i ban \u0111\u1ea7u n\u00e0y l\u00e0 s\u1ef1 pha tr\u1ed9n v\u1edbi t\u1ef7 l\u1ec7 50\/50; ta n\u00f3i t\u1eadp d\u1eef li\u1ec7u n\u00e0y c\u00f3 \u0111\u1ed9 v\u1ea9n \u0111\u1ee5c r\u1ea5t cao, hay theo c\u00e1ch g\u1ecdi c\u1ee7a GS. Hu\u1ef3nh Xu\u00e2n Hi\u1ec7p l\u00e0 r\u1ea5t &#8220;l\u1ed9n x\u1ed9n&#8221;.<\/p>\n\n\n\n<p>Nhi\u1ec7m v\u1ee5 c\u1ee7a c\u00e2y quy\u1ebft \u0111\u1ecbnh l\u00e0 ch\u1ecdn ra m\u1ed9t \u0111\u1eb7c tr\u01b0ng \u0111\u1ec3 l\u00e0m n\u00fat g\u1ed1c nh\u1eb1m chia t\u00e1ch 16 ng\u01b0\u1eddi n\u00e0y th\u00e0nh c\u00e1c nh\u00f3m nh\u1ecf h\u01a1n. Thu\u1eadt to\u00e1n s\u1ebd \u0111\u00e1nh gi\u00e1 ch\u1ea5t l\u01b0\u1ee3ng c\u1ee7a m\u1ed9t ph\u00e9p c\u1eaft d\u1ef1a tr\u00ean m\u1ed9t nguy\u00ean t\u1eafc c\u1ef1c k\u1ef3 \u0111\u01a1n gi\u1ea3n: Chia xong th\u00ec d\u1eef li\u1ec7u c\u00f3 &#8220;s\u1ea1ch&#8221; h\u01a1n (t\u1ee9c l\u00e0 l\u00e0m gi\u1ea3m \u0111i s\u1ef1 l\u1eabn l\u1ed9n) kh\u00f4ng?<\/p>\n\n\n\n<p>\u1ede ph\u1ea7n ti\u1ebfp theo, t\u00f4i s\u1ebd gi\u1edbi thi\u1ec7u l\u00fd thuy\u1ebft v\u1ec1 Entropy v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee5 th\u1ec3 v\u00e0o b\u1ea3ng d\u1eef li\u1ec7u 16 b\u1ec7nh nh\u00e2n tr\u00ean. T\u1eeb \u0111\u00f3, t\u00f4i s\u1ebd x\u00e2y d\u1ef1ng m\u1ed9t c\u00e2y quy\u1ebft \u0111\u1ecbnh d\u1ef1a tr\u00ean s\u1ed1 li\u1ec7u \u0111\u00e3 t\u00ednh \u0111\u01b0\u1ee3c. D\u1ef1a v\u00e0o \u0111\u00f3, ch\u00fang ta s\u1ebd ki\u1ec3m ch\u1ee9ng l\u1ea1i t\u00ednh \u0111\u00fang \u0111\u1eafn c\u1ee7a c\u00e2y quy\u1ebft \u0111\u1ecbnh th\u00f4ng qua d\u1eef li\u1ec7u c\u1ee7a 4 b\u1ec7nh nh\u00e2n c\u00f2n l\u1ea1i trong d\u1eef li\u1ec7u ban \u0111\u1ea7u.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Trong th\u1ebf gi\u1edbi c\u1ee7a h\u1ecdc m\u00e1y, c\u00e2y quy\u1ebft \u0111\u1ecbnh lu\u00f4n l\u00e0 m\u1ed9t trong nh\u1eefng thu\u1eadt to\u00e1n \u0111\u01b0\u1ee3c y\u00eau th\u00edch nh\u1ea5t, \u0111\u1eb7c bi\u1ec7t l\u00e0 v\u1edbi nh\u1eefng ng\u01b0\u1eddi m\u1edbi b\u1eaft \u0111\u1ea7u. L\u00fd do r\u1ea5t \u0111\u01a1n gi\u1ea3n: Kh\u00e1c v\u1edbi c\u00e1c m\u00f4 h\u00ecnh &#8220;h\u1ed9p \u0111en&#8221; ph\u1ee9c t\u1ea1p nh\u01b0 Neural Networks &#8211; n\u01a1i b\u1ea1n kh\u00f4ng bi\u1ebft thu\u1eadt to\u00e1n ngh\u0129 g\u00ec, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":18,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-chua-phan-loai"],"_links":{"self":[{"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/posts\/17","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/comments?post=17"}],"version-history":[{"count":4,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/posts\/17\/revisions"}],"predecessor-version":[{"id":22,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/posts\/17\/revisions\/22"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/media\/18"}],"wp:attachment":[{"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/media?parent=17"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/categories?post=17"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/huynhphusi.com\/index.php\/wp-json\/wp\/v2\/tags?post=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}