{"id":477879,"date":"2023-08-09T09:21:36","date_gmt":"2023-08-09T09:21:36","guid":{"rendered":""},"modified":"2023-09-05T11:15:36","modified_gmt":"2023-09-05T11:15:36","slug":"logistic-regression","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/logistic-regression\/","title":{"rendered":"H\u1ed3i quy logistic"},"content":{"rendered":"<p>H\u1ed3i quy logistic l\u00e0 m\u1ed9t k\u1ef9 thu\u1eadt th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong l\u0129nh v\u1ef1c h\u1ecdc m\u00e1y v\u00e0 ph\u00e2n t\u00edch d\u1eef li\u1ec7u. N\u00f3 n\u1eb1m trong ph\u1ea1m vi h\u1ecdc t\u1eadp c\u00f3 gi\u00e1m s\u00e1t, trong \u0111\u00f3 m\u1ee5c ti\u00eau l\u00e0 d\u1ef1 \u0111o\u00e1n k\u1ebft qu\u1ea3 ph\u00e2n lo\u1ea1i d\u1ef1a tr\u00ean c\u00e1c t\u00ednh n\u0103ng \u0111\u1ea7u v\u00e0o. Kh\u00f4ng gi\u1ed1ng nh\u01b0 h\u1ed3i quy tuy\u1ebfn t\u00ednh d\u1ef1 \u0111o\u00e1n c\u00e1c gi\u00e1 tr\u1ecb s\u1ed1 li\u00ean t\u1ee5c, h\u1ed3i quy logistic d\u1ef1 \u0111o\u00e1n x\u00e1c su\u1ea5t x\u1ea3y ra s\u1ef1 ki\u1ec7n, th\u01b0\u1eddng l\u00e0 c\u00e1c k\u1ebft qu\u1ea3 nh\u1ecb ph\u00e2n nh\u01b0 c\u00f3\/kh\u00f4ng, \u0111\u00fang\/sai ho\u1eb7c 0\/1.<\/p>\n<h2>L\u1ecbch s\u1eed ngu\u1ed3n g\u1ed1c c\u1ee7a h\u1ed3i quy logistic v\u00e0 l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u1ec1 c\u1eadp \u0111\u1ebfn n\u00f3<\/h2>\n<p>Kh\u00e1i ni\u1ec7m h\u1ed3i quy logistic c\u00f3 th\u1ec3 b\u1eaft ngu\u1ed3n t\u1eeb gi\u1eefa th\u1ebf k\u1ef7 19, nh\u01b0ng n\u00f3 \u0111\u00e3 tr\u1edf n\u00ean n\u1ed5i b\u1eadt v\u00e0o th\u1ebf k\u1ef7 20 nh\u1edd c\u00e1c c\u00f4ng tr\u00ecnh c\u1ee7a nh\u00e0 th\u1ed1ng k\u00ea David Cox. \u00d4ng th\u01b0\u1eddng \u0111\u01b0\u1ee3c ghi nh\u1eadn l\u00e0 ng\u01b0\u1eddi \u0111\u00e3 ph\u00e1t tri\u1ec3n m\u00f4 h\u00ecnh h\u1ed3i quy logistic v\u00e0o n\u0103m 1958, m\u00f4 h\u00ecnh n\u00e0y sau \u0111\u00f3 \u0111\u01b0\u1ee3c c\u00e1c nh\u00e0 th\u1ed1ng k\u00ea v\u00e0 nh\u00e0 nghi\u00ean c\u1ee9u kh\u00e1c ph\u1ed5 bi\u1ebfn r\u1ed9ng r\u00e3i.<\/p>\n<h2>Th\u00f4ng tin chi ti\u1ebft v\u1ec1 h\u1ed3i quy logistic<\/h2>\n<p>H\u1ed3i quy logistic ch\u1ee7 y\u1ebfu \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng cho c\u00e1c b\u00e0i to\u00e1n ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n, trong \u0111\u00f3 bi\u1ebfn ph\u1ea3n h\u1ed3i ch\u1ec9 c\u00f3 hai k\u1ebft qu\u1ea3 c\u00f3 th\u1ec3 x\u1ea3y ra. K\u1ef9 thu\u1eadt n\u00e0y t\u1eadn d\u1ee5ng h\u00e0m logistic, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00e0m sigmoid, \u0111\u1ec3 \u00e1nh x\u1ea1 c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m \u0111\u1ea7u v\u00e0o theo x\u00e1c su\u1ea5t.<\/p>\n<p>H\u00e0m logistic \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a l\u00e0:<\/p>\n<p><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo>=<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mfrac><mn>1<\/mn><mrow><mn>1<\/mn><mo>+<\/mo><msup><mi>e<\/mi><mrow><mo>\u2212<\/mo><mi>z<\/mi><\/mrow><\/msup><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">P(y=1) = frac{1}{1 + e^{ -z}}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.03588em;\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2484em; vertical-align: -0.4033em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8451em;\"><span style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mbin mtight\">+<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7027em;\"><span style=\"top: -2.786em; margin-right: 0.0714em;\"><span class=\"pstrut\" style=\"height: 2.5em;\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.04398em;\">z<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4033em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u1ede \u0111\u00e2u:<\/p>\n<ul>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo>=<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P(y=1)<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.13889em;\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.03588em;\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u0111\u1ea1i di\u1ec7n cho x\u00e1c su\u1ea5t c\u1ee7a l\u1edbp t\u00edch c\u1ef1c (k\u1ebft qu\u1ea3 1).<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>z<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">z<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.04398em;\">z<\/span><\/span><\/span><\/span><\/span> l\u00e0 s\u1ef1 k\u1ebft h\u1ee3p tuy\u1ebfn t\u00ednh c\u1ee7a c\u00e1c t\u00ednh n\u0103ng \u0111\u1ea7u v\u00e0o v\u00e0 tr\u1ecdng s\u1ed1 t\u01b0\u01a1ng \u1ee9ng c\u1ee7a ch\u00fang.<\/li>\n<\/ul>\n<p>M\u00f4 h\u00ecnh h\u1ed3i quy logistic c\u1ed1 g\u1eafng t\u00ecm \u0111\u01b0\u1eddng ph\u00f9 h\u1ee3p nh\u1ea5t (ho\u1eb7c si\u00eau ph\u1eb3ng \u1edf c\u00e1c chi\u1ec1u cao h\u01a1n) \u0111\u1ec3 ph\u00e2n t\u00e1ch hai l\u1edbp. Thu\u1eadt to\u00e1n t\u1ed1i \u01b0u h\u00f3a c\u00e1c tham s\u1ed1 m\u00f4 h\u00ecnh b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng c\u00e1c k\u1ef9 thu\u1eadt t\u1ed1i \u01b0u h\u00f3a kh\u00e1c nhau, ch\u1eb3ng h\u1ea1n nh\u01b0 gi\u1ea3m \u0111\u1ed9 d\u1ed1c, \u0111\u1ec3 gi\u1ea3m thi\u1ec3u sai s\u1ed1 gi\u1eefa x\u00e1c su\u1ea5t d\u1ef1 \u0111o\u00e1n v\u00e0 nh\u00e3n l\u1edbp th\u1ef1c t\u1ebf.<\/p>\n<h2>C\u1ea5u tr\u00fac b\u00ean trong c\u1ee7a h\u1ed3i quy logistic: H\u1ed3i quy logistic ho\u1ea1t \u0111\u1ed9ng nh\u01b0 th\u1ebf n\u00e0o<\/h2>\n<p>C\u1ea5u tr\u00fac b\u00ean trong c\u1ee7a h\u1ed3i quy logistic bao g\u1ed3m c\u00e1c th\u00e0nh ph\u1ea7n ch\u00ednh sau:<\/p>\n<ol>\n<li>\n<p><strong>T\u00ednh n\u0103ng \u0111\u1ea7u v\u00e0o<\/strong>: \u0110\u00e2y l\u00e0 c\u00e1c bi\u1ebfn ho\u1eb7c thu\u1ed9c t\u00ednh \u0111\u00f3ng vai tr\u00f2 d\u1ef1 \u0111o\u00e1n cho bi\u1ebfn m\u1ee5c ti\u00eau. M\u1ed7i \u0111\u1eb7c \u0111i\u1ec3m \u0111\u1ea7u v\u00e0o \u0111\u01b0\u1ee3c g\u00e1n m\u1ed9t tr\u1ecdng s\u1ed1 x\u00e1c \u0111\u1ecbnh \u1ea3nh h\u01b0\u1edfng c\u1ee7a n\u00f3 \u0111\u1ebfn x\u00e1c su\u1ea5t d\u1ef1 \u0111o\u00e1n.<\/p>\n<\/li>\n<li>\n<p><strong>Tr\u1ecdng l\u01b0\u1ee3ng<\/strong>: H\u1ed3i quy logistic g\u00e1n tr\u1ecdng s\u1ed1 cho t\u1eebng t\u00ednh n\u0103ng \u0111\u1ea7u v\u00e0o, cho bi\u1ebft \u0111\u00f3ng g\u00f3p c\u1ee7a n\u00f3 v\u00e0o d\u1ef1 \u0111o\u00e1n t\u1ed5ng th\u1ec3. Tr\u1ecdng s\u1ed1 d\u01b0\u01a1ng bi\u1ec3u th\u1ecb m\u1ed1i t\u01b0\u01a1ng quan d\u01b0\u01a1ng v\u1edbi l\u1edbp d\u01b0\u01a1ng, trong khi tr\u1ecdng s\u1ed1 \u00e2m bi\u1ec3u th\u1ecb m\u1ed1i t\u01b0\u01a1ng quan \u00e2m.<\/p>\n<\/li>\n<li>\n<p><strong>Xu h\u01b0\u1edbng (\u0110\u00e1nh ch\u1eb7n)<\/strong>: Thu\u1eadt ng\u1eef sai l\u1ec7ch \u0111\u01b0\u1ee3c th\u00eam v\u00e0o t\u1ed5ng tr\u1ecdng s\u1ed1 c\u1ee7a c\u00e1c \u0111\u1eb7c tr\u01b0ng \u0111\u1ea7u v\u00e0o. N\u00f3 ho\u1ea1t \u0111\u1ed9ng nh\u01b0 m\u1ed9t ph\u1ea7n b\u00f9, cho ph\u00e9p m\u00f4 h\u00ecnh n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c x\u00e1c su\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a l\u1edbp d\u01b0\u01a1ng.<\/p>\n<\/li>\n<li>\n<p><strong>Ch\u1ee9c n\u0103ng h\u1eadu c\u1ea7n<\/strong>: H\u00e0m logistic, nh\u01b0 \u0111\u00e3 \u0111\u1ec1 c\u1eadp tr\u01b0\u1edbc \u0111\u00f3, \u00e1nh x\u1ea1 t\u1ed5ng tr\u1ecdng s\u1ed1 c\u1ee7a c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m \u0111\u1ea7u v\u00e0o v\u00e0 thu\u1eadt ng\u1eef sai l\u1ec7ch th\u00e0nh gi\u00e1 tr\u1ecb x\u00e1c su\u1ea5t trong kho\u1ea3ng t\u1eeb 0 \u0111\u1ebfn 1.<\/p>\n<\/li>\n<li>\n<p><strong>Ranh gi\u1edbi quy\u1ebft \u0111\u1ecbnh<\/strong>: M\u00f4 h\u00ecnh h\u1ed3i quy logistic ph\u00e2n t\u00e1ch hai l\u1edbp b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng ranh gi\u1edbi quy\u1ebft \u0111\u1ecbnh. Ranh gi\u1edbi quy\u1ebft \u0111\u1ecbnh l\u00e0 m\u1ed9t gi\u00e1 tr\u1ecb x\u00e1c su\u1ea5t ng\u01b0\u1ee1ng (th\u01b0\u1eddng l\u00e0 0,5) m\u00e0 tr\u00ean \u0111\u00f3 \u0111\u1ea7u v\u00e0o \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i l\u00e0 l\u1edbp d\u01b0\u01a1ng v\u00e0 d\u01b0\u1edbi m\u1ee9c \u0111\u00f3 n\u00f3 \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i l\u00e0 l\u1edbp \u00e2m.<\/p>\n<\/li>\n<\/ol>\n<h2>Ph\u00e2n t\u00edch c\u00e1c t\u00ednh n\u0103ng ch\u00ednh c\u1ee7a h\u1ed3i quy logistic<\/h2>\n<p>H\u1ed3i quy logistic c\u00f3 m\u1ed9t s\u1ed1 t\u00ednh n\u0103ng thi\u1ebft y\u1ebfu khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn ph\u1ed5 bi\u1ebfn cho c\u00e1c nhi\u1ec7m v\u1ee5 ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n:<\/p>\n<ol>\n<li>\n<p><strong>\u0110\u01a1n gi\u1ea3n v\u00e0 d\u1ec5 hi\u1ec3u<\/strong>: H\u1ed3i quy logistic t\u01b0\u01a1ng \u0111\u1ed1i d\u1ec5 th\u1ef1c hi\u1ec7n v\u00e0 di\u1ec5n gi\u1ea3i. Tr\u1ecdng s\u1ed1 c\u1ee7a m\u00f4 h\u00ecnh cung c\u1ea5p c\u00e1i nh\u00ecn s\u00e2u s\u1eafc v\u1ec1 t\u1ea7m quan tr\u1ecdng c\u1ee7a t\u1eebng \u0111\u1eb7c \u0111i\u1ec3m trong vi\u1ec7c d\u1ef1 \u0111o\u00e1n k\u1ebft qu\u1ea3.<\/p>\n<\/li>\n<li>\n<p><strong>\u0110\u1ea7u ra x\u00e1c su\u1ea5t<\/strong>: Thay v\u00ec \u0111\u01b0a ra m\u1ed9t ph\u00e2n lo\u1ea1i ri\u00eang bi\u1ec7t, h\u1ed3i quy logistic cung c\u1ea5p x\u00e1c su\u1ea5t thu\u1ed9c v\u1ec1 m\u1ed9t l\u1edbp c\u1ee5 th\u1ec3, c\u00f3 th\u1ec3 h\u1eefu \u00edch trong qu\u00e1 tr\u00ecnh ra quy\u1ebft \u0111\u1ecbnh.<\/p>\n<\/li>\n<li>\n<p><strong>Kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng<\/strong>: H\u1ed3i quy logistic c\u00f3 th\u1ec3 x\u1eed l\u00fd c\u00e1c t\u1eadp d\u1eef li\u1ec7u l\u1edbn m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3, khi\u1ebfn n\u00f3 ph\u00f9 h\u1ee3p v\u1edbi nhi\u1ec1u \u1ee9ng d\u1ee5ng kh\u00e1c nhau.<\/p>\n<\/li>\n<li>\n<p><strong>M\u1ea1nh m\u1ebd \u0111\u1ebfn ngo\u1ea1i l\u1ec7<\/strong>: H\u1ed3i quy logistic \u00edt nh\u1ea1y c\u1ea3m h\u01a1n v\u1edbi c\u00e1c gi\u00e1 tr\u1ecb ngo\u1ea1i l\u1ec7 so v\u1edbi c\u00e1c thu\u1eadt to\u00e1n kh\u00e1c nh\u01b0 M\u00e1y vect\u01a1 h\u1ed7 tr\u1ee3.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c lo\u1ea1i h\u1ed3i quy logistic<\/h2>\n<p>C\u00f3 m\u1ed9t s\u1ed1 bi\u1ebfn th\u1ec3 c\u1ee7a h\u1ed3i quy logistic, m\u1ed7i bi\u1ebfn th\u1ec3 \u0111\u01b0\u1ee3c \u0111i\u1ec1u ch\u1ec9nh cho ph\u00f9 h\u1ee3p v\u1edbi c\u00e1c t\u00ecnh hu\u1ed1ng c\u1ee5 th\u1ec3. C\u00e1c lo\u1ea1i h\u1ed3i quy logistic ch\u00ednh l\u00e0:<\/p>\n<ol>\n<li>\n<p><strong>H\u1ed3i quy logistic nh\u1ecb ph\u00e2n<\/strong>: D\u1ea1ng h\u1ed3i quy logistic ti\u00eau chu\u1ea9n \u0111\u1ec3 ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n.<\/p>\n<\/li>\n<li>\n<p><strong>H\u1ed3i quy logistic \u0111a th\u1ee9c<\/strong>: \u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng khi c\u00f3 nhi\u1ec1u h\u01a1n hai l\u1edbp \u0111\u1ed9c quy\u1ec1n \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n.<\/p>\n<\/li>\n<li>\n<p><strong>H\u1ed3i quy logistic th\u1ee9 t\u1ef1<\/strong>: Th\u00edch h\u1ee3p \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n c\u00e1c danh m\u1ee5c th\u1ee9 t\u1ef1 c\u00f3 th\u1ee9 t\u1ef1 t\u1ef1 nhi\u00ean.<\/p>\n<\/li>\n<li>\n<p><strong>H\u1ed3i quy logistic ch\u00ednh quy<\/strong>: Gi\u1edbi thi\u1ec7u c\u00e1c k\u1ef9 thu\u1eadt ch\u00ednh quy h\u00f3a nh\u01b0 ch\u00ednh quy h\u00f3a L1 (Lasso) ho\u1eb7c L2 (Ridge) \u0111\u1ec3 ng\u0103n ch\u1eb7n vi\u1ec7c trang b\u1ecb qu\u00e1 m\u1ee9c.<\/p>\n<\/li>\n<\/ol>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 b\u1ea3ng t\u00f3m t\u1eaft c\u00e1c lo\u1ea1i h\u1ed3i quy logistic:<\/p>\n<table>\n<thead>\n<tr>\n<th>Ki\u1ec3u<\/th>\n<th>S\u1ef1 mi\u00eau t\u1ea3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>H\u1ed3i quy logistic nh\u1ecb ph\u00e2n<\/td>\n<td>H\u1ed3i quy logistic ti\u00eau chu\u1ea9n cho k\u1ebft qu\u1ea3 nh\u1ecb ph\u00e2n<\/td>\n<\/tr>\n<tr>\n<td>H\u1ed3i quy logistic \u0111a th\u1ee9c<\/td>\n<td>\u0110\u1ed1i v\u1edbi nhi\u1ec1u l\u1edbp h\u1ecdc \u0111\u1ed9c quy\u1ec1n<\/td>\n<\/tr>\n<tr>\n<td>H\u1ed3i quy logistic th\u1ee9 t\u1ef1<\/td>\n<td>\u0110\u1ed1i v\u1edbi c\u00e1c danh m\u1ee5c th\u1ee9 t\u1ef1 c\u00f3 th\u1ee9 t\u1ef1 t\u1ef1 nhi\u00ean<\/td>\n<\/tr>\n<tr>\n<td>H\u1ed3i quy logistic ch\u00ednh quy<\/td>\n<td>Gi\u1edbi thi\u1ec7u ch\u00ednh quy h\u00f3a \u0111\u1ec3 ng\u0103n ch\u1eb7n vi\u1ec7c trang b\u1ecb qu\u00e1 m\u1ee9c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>C\u00e1ch s\u1eed d\u1ee5ng H\u1ed3i quy logistic, c\u00e1c v\u1ea5n \u0111\u1ec1 v\u00e0 gi\u1ea3i ph\u00e1p li\u00ean quan \u0111\u1ebfn vi\u1ec7c s\u1eed d\u1ee5ng<\/h2>\n<p>H\u1ed3i quy logistic t\u00ecm th\u1ea5y c\u00e1c \u1ee9ng d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau do t\u00ednh linh ho\u1ea1t c\u1ee7a n\u00f3. M\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p s\u1eed d\u1ee5ng ph\u1ed5 bi\u1ebfn bao g\u1ed3m:<\/p>\n<ol>\n<li>\n<p><strong>Ch\u1ea9n \u0111o\u00e1n y t\u1ebf<\/strong>: D\u1ef1 \u0111o\u00e1n s\u1ef1 hi\u1ec7n di\u1ec7n hay v\u1eafng m\u1eb7t c\u1ee7a b\u1ec7nh d\u1ef1a tr\u00ean c\u00e1c tri\u1ec7u ch\u1ee9ng c\u1ee7a b\u1ec7nh nh\u00e2n v\u00e0 k\u1ebft qu\u1ea3 x\u00e9t nghi\u1ec7m.<\/p>\n<\/li>\n<li>\n<p><strong>\u0110\u00e1nh gi\u00e1 r\u1ee7i ro t\u00edn d\u1ee5ng<\/strong>: \u0110\u00e1nh gi\u00e1 r\u1ee7i ro v\u1ee1 n\u1ee3 \u0111\u1ed1i v\u1edbi ng\u01b0\u1eddi xin vay.<\/p>\n<\/li>\n<li>\n<p><strong>Ti\u1ebfp th\u1ecb v\u00e0 b\u00e1n h\u00e0ng<\/strong>: X\u00e1c \u0111\u1ecbnh kh\u00e1ch h\u00e0ng ti\u1ec1m n\u0103ng c\u00f3 kh\u1ea3 n\u0103ng mua h\u00e0ng.<\/p>\n<\/li>\n<li>\n<p><strong>Ph\u00e2n t\u00edch t\u00ecnh c\u1ea3m<\/strong>: Ph\u00e2n lo\u1ea1i c\u00e1c quan \u0111i\u1ec3m th\u1ec3 hi\u1ec7n trong d\u1eef li\u1ec7u v\u0103n b\u1ea3n l\u00e0 t\u00edch c\u1ef1c hay ti\u00eau c\u1ef1c.<\/p>\n<\/li>\n<\/ol>\n<p>Tuy nhi\u00ean, h\u1ed3i quy logistic c\u0169ng c\u00f3 m\u1ed9t s\u1ed1 h\u1ea1n ch\u1ebf v\u00e0 th\u00e1ch th\u1ee9c nh\u01b0:<\/p>\n<ol>\n<li>\n<p><strong>D\u1eef li\u1ec7u m\u1ea5t c\u00e2n b\u1eb1ng<\/strong>: Khi t\u1ef7 l\u1ec7 c\u1ee7a m\u1ed9t l\u1edbp cao h\u01a1n \u0111\u00e1ng k\u1ec3 so v\u1edbi l\u1edbp kia, m\u00f4 h\u00ecnh c\u00f3 th\u1ec3 tr\u1edf n\u00ean thi\u00ean v\u1ec1 l\u1edbp \u0111a s\u1ed1. Gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 n\u00e0y c\u00f3 th\u1ec3 y\u00eau c\u1ea7u c\u00e1c k\u1ef9 thu\u1eadt nh\u01b0 l\u1ea5y m\u1eabu l\u1ea1i ho\u1eb7c s\u1eed d\u1ee5ng c\u00e1c ph\u01b0\u01a1ng ph\u00e1p ti\u1ebfp c\u1eadn theo tr\u1ecdng s\u1ed1 l\u1edbp.<\/p>\n<\/li>\n<li>\n<p><strong>M\u1ed1i quan h\u1ec7 phi tuy\u1ebfn t\u00ednh<\/strong>: H\u1ed3i quy logistic gi\u1ea3 \u0111\u1ecbnh m\u1ed1i quan h\u1ec7 tuy\u1ebfn t\u00ednh gi\u1eefa c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m \u0111\u1ea7u v\u00e0o v\u00e0 t\u1ef7 l\u1ec7 logarit c\u1ee7a k\u1ebft qu\u1ea3. Trong tr\u01b0\u1eddng h\u1ee3p c\u00e1c m\u1ed1i quan h\u1ec7 l\u00e0 phi tuy\u1ebfn t\u00ednh, c\u00e1c m\u00f4 h\u00ecnh ph\u1ee9c t\u1ea1p h\u01a1n nh\u01b0 c\u00e2y quy\u1ebft \u0111\u1ecbnh ho\u1eb7c m\u1ea1ng l\u01b0\u1edbi th\u1ea7n kinh c\u00f3 th\u1ec3 ph\u00f9 h\u1ee3p h\u01a1n.<\/p>\n<\/li>\n<li>\n<p><strong>Trang b\u1ecb qu\u00e1 m\u1ee9c<\/strong>: H\u1ed3i quy logistic c\u00f3 th\u1ec3 d\u1ec5 b\u1ecb kh\u1edbp qu\u00e1 m\u1ee9c khi x\u1eed l\u00fd d\u1eef li\u1ec7u nhi\u1ec1u chi\u1ec1u ho\u1eb7c m\u1ed9t s\u1ed1 l\u01b0\u1ee3ng l\u1edbn t\u00ednh n\u0103ng. K\u1ef9 thu\u1eadt ch\u00ednh quy h\u00f3a c\u00f3 th\u1ec3 gi\u00fap gi\u1ea3m thi\u1ec3u v\u1ea5n \u0111\u1ec1 n\u00e0y.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c \u0111\u1eb7c \u0111i\u1ec3m ch\u00ednh v\u00e0 so s\u00e1nh kh\u00e1c v\u1edbi c\u00e1c thu\u1eadt ng\u1eef t\u01b0\u01a1ng t\u1ef1<\/h2>\n<p>H\u00e3y so s\u00e1nh h\u1ed3i quy logistic v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt t\u01b0\u01a1ng t\u1ef1 kh\u00e1c:<\/p>\n<table>\n<thead>\n<tr>\n<th>K\u1ef9 thu\u1eadt<\/th>\n<th>S\u1ef1 mi\u00eau t\u1ea3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>H\u1ed3i quy tuy\u1ebfn t\u00ednh<\/td>\n<td>\u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n c\u00e1c gi\u00e1 tr\u1ecb s\u1ed1 li\u00ean t\u1ee5c, trong khi h\u1ed3i quy logistic d\u1ef1 \u0111o\u00e1n x\u00e1c su\u1ea5t cho k\u1ebft qu\u1ea3 nh\u1ecb ph\u00e2n.<\/td>\n<\/tr>\n<tr>\n<td>M\u00e1y Vector h\u1ed7 tr\u1ee3<\/td>\n<td>Th\u00edch h\u1ee3p cho c\u1ea3 ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n v\u00e0 \u0111a l\u1edbp, trong khi h\u1ed3i quy logistic ch\u1ee7 y\u1ebfu \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n.<\/td>\n<\/tr>\n<tr>\n<td>C\u00e2y quy\u1ebft \u0111\u1ecbnh<\/td>\n<td>Phi tham s\u1ed1 v\u00e0 c\u00f3 th\u1ec3 n\u1eafm b\u1eaft c\u00e1c m\u1ed1i quan h\u1ec7 phi tuy\u1ebfn t\u00ednh, trong khi h\u1ed3i quy logistic gi\u1ea3 \u0111\u1ecbnh c\u00e1c m\u1ed1i quan h\u1ec7 tuy\u1ebfn t\u00ednh.<\/td>\n<\/tr>\n<tr>\n<td>M\u1ea1ng l\u01b0\u1edbi th\u1ea7n kinh<\/td>\n<td>R\u1ea5t linh ho\u1ea1t cho c\u00e1c nhi\u1ec7m v\u1ee5 ph\u1ee9c t\u1ea1p, nh\u01b0ng ch\u00fang \u0111\u00f2i h\u1ecfi nhi\u1ec1u d\u1eef li\u1ec7u v\u00e0 t\u00e0i nguy\u00ean t\u00ednh to\u00e1n h\u01a1n so v\u1edbi h\u1ed3i quy logistic.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>C\u00e1c quan \u0111i\u1ec3m v\u00e0 c\u00f4ng ngh\u1ec7 c\u1ee7a t\u01b0\u01a1ng lai li\u00ean quan \u0111\u1ebfn h\u1ed3i quy Logistic<\/h2>\n<p>Khi c\u00f4ng ngh\u1ec7 ti\u1ebfp t\u1ee5c ph\u00e1t tri\u1ec3n, h\u1ed3i quy logistic s\u1ebd v\u1eabn l\u00e0 c\u00f4ng c\u1ee5 c\u01a1 b\u1ea3n cho c\u00e1c nhi\u1ec7m v\u1ee5 ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n. Tuy nhi\u00ean, t\u01b0\u01a1ng lai c\u1ee7a h\u1ed3i quy logistic n\u1eb1m \u1edf s\u1ef1 t\u00edch h\u1ee3p c\u1ee7a n\u00f3 v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt ti\u00ean ti\u1ebfn kh\u00e1c, ch\u1eb3ng h\u1ea1n nh\u01b0:<\/p>\n<ol>\n<li>\n<p><strong>Ph\u01b0\u01a1ng ph\u00e1p t\u1eadp h\u1ee3p<\/strong>: Vi\u1ec7c k\u1ebft h\u1ee3p nhi\u1ec1u m\u00f4 h\u00ecnh h\u1ed3i quy logistic ho\u1eb7c s\u1eed d\u1ee5ng c\u00e1c k\u1ef9 thu\u1eadt t\u1ed5ng h\u1ee3p nh\u01b0 R\u1eebng ng\u1eabu nhi\u00ean v\u00e0 T\u0103ng c\u01b0\u1eddng \u0111\u1ed9 d\u1ed1c c\u00f3 th\u1ec3 gi\u00fap c\u1ea3i thi\u1ec7n hi\u1ec7u su\u1ea5t d\u1ef1 \u0111o\u00e1n.<\/p>\n<\/li>\n<li>\n<p><strong>H\u1ecdc k\u0129 c\u00e0ng<\/strong>: Vi\u1ec7c k\u1ebft h\u1ee3p c\u00e1c l\u1edbp h\u1ed3i quy logistic v\u00e0o ki\u1ebfn tr\u00fac m\u1ea1ng th\u1ea7n kinh c\u00f3 th\u1ec3 n\u00e2ng cao kh\u1ea3 n\u0103ng di\u1ec5n gi\u1ea3i v\u00e0 \u0111\u01b0a \u0111\u1ebfn nh\u1eefng d\u1ef1 \u0111o\u00e1n ch\u00ednh x\u00e1c h\u01a1n.<\/p>\n<\/li>\n<li>\n<p><strong>H\u1ed3i quy logistic Bayes<\/strong>: Vi\u1ec7c s\u1eed d\u1ee5ng c\u00e1c ph\u01b0\u01a1ng ph\u00e1p Bayesian c\u00f3 th\u1ec3 cung c\u1ea5p c\u00e1c \u01b0\u1edbc t\u00ednh kh\u00f4ng ch\u1eafc ch\u1eafn cho c\u00e1c d\u1ef1 \u0111o\u00e1n m\u00f4 h\u00ecnh, l\u00e0m cho qu\u00e1 tr\u00ecnh ra quy\u1ebft \u0111\u1ecbnh tr\u1edf n\u00ean \u0111\u00e1ng tin c\u1eady h\u01a1n.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1ch s\u1eed d\u1ee5ng ho\u1eb7c li\u00ean k\u1ebft m\u00e1y ch\u1ee7 proxy v\u1edbi h\u1ed3i quy logistic<\/h2>\n<p>M\u00e1y ch\u1ee7 proxy \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c thu th\u1eadp v\u00e0 x\u1eed l\u00fd tr\u01b0\u1edbc d\u1eef li\u1ec7u cho c\u00e1c t\u00e1c v\u1ee5 h\u1ecdc m\u00e1y, bao g\u1ed3m c\u1ea3 h\u1ed3i quy logistic. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 c\u00e1ch m\u00e0 m\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c li\u00ean k\u1ebft v\u1edbi h\u1ed3i quy logistic:<\/p>\n<ol>\n<li>\n<p><strong>Qu\u00e9t d\u1eef li\u1ec7u<\/strong>: M\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 thu th\u1eadp d\u1eef li\u1ec7u t\u1eeb web, \u0111\u1ea3m b\u1ea3o t\u00ednh \u1ea9n danh v\u00e0 ng\u0103n ch\u1eb7n vi\u1ec7c ch\u1eb7n IP.<\/p>\n<\/li>\n<li>\n<p><strong>Ti\u1ec1n x\u1eed l\u00fd d\u1eef li\u1ec7u<\/strong>: Khi x\u1eed l\u00fd d\u1eef li\u1ec7u \u0111\u01b0\u1ee3c ph\u00e2n b\u1ed5 theo \u0111\u1ecba l\u00fd, m\u00e1y ch\u1ee7 proxy cho ph\u00e9p c\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u truy c\u1eadp v\u00e0 x\u1eed l\u00fd tr\u01b0\u1edbc d\u1eef li\u1ec7u t\u1eeb c\u00e1c khu v\u1ef1c kh\u00e1c nhau.<\/p>\n<\/li>\n<li>\n<p><strong>\u1ea8n danh trong tri\u1ec3n khai m\u00f4 h\u00ecnh<\/strong>: Trong m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p, m\u00f4 h\u00ecnh h\u1ed3i quy logistic c\u00f3 th\u1ec3 c\u1ea7n \u0111\u01b0\u1ee3c tri\u1ec3n khai v\u1edbi c\u00e1c bi\u1ec7n ph\u00e1p \u1ea9n danh b\u1ed5 sung \u0111\u1ec3 b\u1ea3o v\u1ec7 th\u00f4ng tin nh\u1ea1y c\u1ea3m. M\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 \u0111\u00f3ng vai tr\u00f2 trung gian \u0111\u1ec3 b\u1ea3o v\u1ec7 quy\u1ec1n ri\u00eang t\u01b0 c\u1ee7a ng\u01b0\u1eddi d\u00f9ng.<\/p>\n<\/li>\n<li>\n<p><strong>C\u00e2n b\u1eb1ng t\u1ea3i<\/strong>: \u0110\u1ed1i v\u1edbi c\u00e1c \u1ee9ng d\u1ee5ng quy m\u00f4 l\u1edbn, m\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 ph\u00e2n ph\u1ed1i c\u00e1c y\u00eau c\u1ea7u \u0111\u1ebfn gi\u1eefa nhi\u1ec1u phi\u00ean b\u1ea3n c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy logistic, t\u1ed1i \u01b0u h\u00f3a hi\u1ec7u su\u1ea5t.<\/p>\n<\/li>\n<\/ol>\n<h2>Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n<p>\u0110\u1ec3 bi\u1ebft th\u00eam th\u00f4ng tin v\u1ec1 h\u1ed3i quy logistic, b\u1ea1n c\u00f3 th\u1ec3 kh\u00e1m ph\u00e1 c\u00e1c t\u00e0i nguy\u00ean sau:<\/p>\n<ol>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Logistic_regression\" target=\"_new\" rel=\"noopener nofollow\">H\u1ed3i quy logistic \u2013 Wikipedia<\/a><\/li>\n<li><a href=\"https:\/\/web.stanford.edu\/class\/archive\/cs\/cs109\/cs109.1166\/stuff\/tutorials\/02-Logistic-Regression.pdf\" target=\"_new\" rel=\"noopener nofollow\">Gi\u1edbi thi\u1ec7u v\u1ec1 h\u1ed3i quy logistic - \u0110\u1ea1i h\u1ecdc Stanford<\/a><\/li>\n<li><a href=\"https:\/\/machinelearningmastery.com\/logistic-regression-for-machine-learning\/\" target=\"_new\" rel=\"noopener nofollow\">H\u1ed3i quy logistic cho h\u1ecdc m\u00e1y \u2013 L\u00e0m ch\u1ee7 h\u1ecdc m\u00e1y<\/a><\/li>\n<li><a href=\"https:\/\/towardsdatascience.com\/introduction-to-logistic-regression-66248243c148\" target=\"_new\" rel=\"noopener nofollow\">Gi\u1edbi thi\u1ec7u v\u1ec1 h\u1ed3i quy logistic \u2013 H\u01b0\u1edbng t\u1edbi khoa h\u1ecdc d\u1eef li\u1ec7u<\/a><\/li>\n<\/ol>\n<p>T\u00f3m l\u1ea1i, h\u1ed3i quy logistic l\u00e0 m\u1ed9t k\u1ef9 thu\u1eadt m\u1ea1nh m\u1ebd v\u00e0 d\u1ec5 hi\u1ec3u cho c\u00e1c v\u1ea5n \u0111\u1ec1 ph\u00e2n lo\u1ea1i nh\u1ecb ph\u00e2n. T\u00ednh \u0111\u01a1n gi\u1ea3n, \u0111\u1ea7u ra x\u00e1c su\u1ea5t v\u00e0 c\u00e1c \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i c\u1ee7a n\u00f3 l\u00e0m cho n\u00f3 tr\u1edf th\u00e0nh m\u1ed9t c\u00f4ng c\u1ee5 c\u00f3 gi\u00e1 tr\u1ecb \u0111\u1ec3 ph\u00e2n t\u00edch d\u1eef li\u1ec7u v\u00e0 l\u1eadp m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n. Khi c\u00f4ng ngh\u1ec7 ph\u00e1t tri\u1ec3n, vi\u1ec7c t\u00edch h\u1ee3p h\u1ed3i quy logistic v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt ti\u00ean ti\u1ebfn kh\u00e1c s\u1ebd m\u1edf ra nhi\u1ec1u ti\u1ec1m n\u0103ng h\u01a1n n\u1eefa trong th\u1ebf gi\u1edbi khoa h\u1ecdc d\u1eef li\u1ec7u v\u00e0 h\u1ecdc m\u00e1y. M\u1eb7t kh\u00e1c, m\u00e1y ch\u1ee7 proxy ti\u1ebfp t\u1ee5c l\u00e0 t\u00e0i s\u1ea3n c\u00f3 gi\u00e1 tr\u1ecb trong vi\u1ec7c h\u1ed7 tr\u1ee3 x\u1eed l\u00fd d\u1eef li\u1ec7u an to\u00e0n v\u00e0 hi\u1ec7u qu\u1ea3 cho h\u1ed3i quy logistic v\u00e0 c\u00e1c t\u00e1c v\u1ee5 h\u1ecdc m\u00e1y kh\u00e1c.<\/p>","protected":false},"featured_media":468806,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477879","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Logistic Regression: Unveiling the Power of Predictive Modeling<\/mark>","faq_items":[{"question":"What is logistic regression?","answer":"<p>Logistic regression is a widely used statistical technique in machine learning and data analysis. It is used to predict the probability of binary outcomes, such as yes\/no or true\/false, based on input features.<\/p>"},{"question":"Who developed logistic regression?","answer":"<p>Logistic regression was developed by statistician David Cox in 1958, though the concept dates back to the mid-19th century. It gained popularity through the works of various researchers and statisticians.<\/p>"},{"question":"How does logistic regression work?","answer":"<p>Logistic regression works by using a logistic function (sigmoid function) to map input features to probabilities. It assigns weights to each input feature and calculates a linear combination of these features. The logistic function converts this linear combination into a probability value between 0 and 1.<\/p>"},{"question":"What are the key features of logistic regression?","answer":"<p>Logistic regression is simple, interpretable, and provides probabilistic output. It is suitable for binary classification tasks and can handle large datasets efficiently. Moreover, it is robust to outliers compared to some other algorithms.<\/p>"},{"question":"What are the types of logistic regression?","answer":"<p>There are several types of logistic regression:<\/p><ol><li>Binary Logistic Regression: For binary outcomes.<\/li><li>Multinomial Logistic Regression: For multiple exclusive classes.<\/li><li>Ordinal Logistic Regression: For ordinal categories with a natural ordering.<\/li><li>Regularized Logistic Regression: Introduces regularization to prevent overfitting.<\/li><\/ol>"},{"question":"Where can logistic regression be used?","answer":"<p>Logistic regression finds applications in various fields, such as medical diagnosis, credit risk assessment, marketing, and sentiment analysis.<\/p>"},{"question":"What are the challenges related to using logistic regression?","answer":"<p>Some challenges with logistic regression include:<\/p><ol><li>Imbalanced data, where one class is much more frequent than the other.<\/li><li>Non-linear relationships between input features and outcomes.<\/li><li>Overfitting with high-dimensional data.<\/li><\/ol>"},{"question":"How can proxy servers be associated with logistic regression?","answer":"<p>Proxy servers can assist logistic regression in data scraping, data preprocessing, anonymizing model deployment, and load balancing in large-scale applications. They play a crucial role in secure and efficient data processing for logistic regression and other machine learning tasks.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/477879","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/477879\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media\/468806"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=477879"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}