{"id":476007,"date":"2023-08-09T07:25:33","date_gmt":"2023-08-09T07:25:33","guid":{"rendered":""},"modified":"2023-09-05T11:11:49","modified_gmt":"2023-09-05T11:11:49","slug":"bias-and-variance","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/bias-and-variance\/","title":{"rendered":"Xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai"},"content":{"rendered":"<p>Xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai l\u00e0 nh\u1eefng kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n trong l\u0129nh v\u1ef1c h\u1ecdc m\u00e1y, th\u1ed1ng k\u00ea v\u00e0 ph\u00e2n t\u00edch d\u1eef li\u1ec7u. Ch\u00fang cung c\u1ea5p m\u1ed9t khu\u00f4n kh\u1ed5 \u0111\u1ec3 hi\u1ec3u hi\u1ec7u su\u1ea5t c\u1ee7a c\u00e1c m\u00f4 h\u00ecnh v\u00e0 thu\u1eadt to\u00e1n d\u1ef1 \u0111o\u00e1n, cho th\u1ea5y s\u1ef1 c\u00e2n b\u1eb1ng t\u1ed3n t\u1ea1i gi\u1eefa \u0111\u1ed9 ph\u1ee9c t\u1ea1p c\u1ee7a m\u00f4 h\u00ecnh v\u00e0 kh\u1ea3 n\u0103ng h\u1ecdc h\u1ecfi t\u1eeb d\u1eef li\u1ec7u c\u1ee7a n\u00f3.<\/p>\n<h2>Ngu\u1ed3n g\u1ed1c l\u1ecbch s\u1eed v\u00e0 nh\u1eefng \u0111\u1ec1 c\u1eadp \u0111\u1ea7u ti\u00ean v\u1ec1 th\u00e0nh ki\u1ebfn v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>C\u00e1c kh\u00e1i ni\u1ec7m v\u1ec1 \u0110\u1ed9 l\u1ec7ch v\u00e0 Ph\u01b0\u01a1ng sai trong th\u1ed1ng k\u00ea b\u1eaft ngu\u1ed3n t\u1eeb l\u0129nh v\u1ef1c l\u00fd thuy\u1ebft \u01b0\u1edbc l\u01b0\u1ee3ng. C\u00e1c thu\u1eadt ng\u1eef n\u00e0y l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c \u0111\u01b0a v\u00e0o t\u00e0i li\u1ec7u th\u1ed1ng k\u00ea ch\u00ednh th\u1ed1ng v\u00e0o kho\u1ea3ng gi\u1eefa th\u1ebf k\u1ef7 20, tr\u00f9ng h\u1ee3p v\u1edbi nh\u1eefng ti\u1ebfn b\u1ed9 trong k\u1ef9 thu\u1eadt \u01b0\u1edbc l\u01b0\u1ee3ng v\u00e0 m\u00f4 h\u00ecnh th\u1ed1ng k\u00ea.<\/p>\n<p>\u0110\u1ed9 l\u1ec7ch, nh\u01b0 m\u1ed9t kh\u00e1i ni\u1ec7m th\u1ed1ng k\u00ea, l\u00e0 s\u1ef1 ph\u00e1t tri\u1ec3n t\u1ef1 nhi\u00ean c\u1ee7a \u00fd t\u01b0\u1edfng v\u1ec1 gi\u00e1 tr\u1ecb k\u1ef3 v\u1ecdng c\u1ee7a c\u00f4ng c\u1ee5 \u01b0\u1edbc t\u00ednh, trong khi Ph\u01b0\u01a1ng sai xu\u1ea5t hi\u1ec7n t\u1eeb nghi\u00ean c\u1ee9u v\u1ec1 \u0111\u1ed9 ph\u00e2n t\u00e1n c\u1ee7a c\u00f4ng c\u1ee5 \u01b0\u1edbc t\u00ednh. Khi m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n tr\u1edf n\u00ean ph\u1ee9c t\u1ea1p h\u01a1n, nh\u1eefng kh\u00e1i ni\u1ec7m n\u00e0y \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng cho c\u00e1c l\u1ed7i trong d\u1ef1 \u0111o\u00e1n, d\u1eabn \u0111\u1ebfn vi\u1ec7c \u00e1p d\u1ee5ng ch\u00fang trong h\u1ecdc m\u00e1y.<\/p>\n<h2>M\u1edf r\u1ed9ng v\u1ec1 \u0111\u1ed9 l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>\u0110\u1ed9 l\u1ec7ch \u0111\u1ec1 c\u1eadp \u0111\u1ebfn l\u1ed7i h\u1ec7 th\u1ed1ng \u0111\u01b0\u1ee3c t\u1ea1o ra b\u1eb1ng c\u00e1ch x\u1ea5p x\u1ec9 \u0111\u1ed9 ph\u1ee9c t\u1ea1p trong th\u1ebf gi\u1edbi th\u1ef1c b\u1eb1ng m\u1ed9t m\u00f4 h\u00ecnh \u0111\u01a1n gi\u1ea3n h\u01a1n nhi\u1ec1u. Trong h\u1ecdc m\u00e1y, n\u00f3 th\u1ec3 hi\u1ec7n l\u1ed7i do c\u00e1c gi\u1ea3 \u0111\u1ecbnh sai l\u1ea7m trong thu\u1eadt to\u00e1n h\u1ecdc. \u0110\u1ed9 l\u1ec7ch cao c\u00f3 th\u1ec3 khi\u1ebfn thu\u1eadt to\u00e1n b\u1ecf l\u1ee1 c\u00e1c m\u1ed1i quan h\u1ec7 li\u00ean quan gi\u1eefa c\u00e1c t\u00ednh n\u0103ng v\u00e0 k\u1ebft qu\u1ea3 \u0111\u1ea7u ra m\u1ee5c ti\u00eau (kh\u00f4ng ph\u00f9 h\u1ee3p).<\/p>\n<p>M\u1eb7t kh\u00e1c, ph\u01b0\u01a1ng sai \u0111\u1ec1 c\u1eadp \u0111\u1ebfn m\u1ee9c \u0111\u1ed9 m\u00e0 m\u00f4 h\u00ecnh c\u1ee7a ch\u00fang t\u00f4i s\u1ebd thay \u0111\u1ed5i n\u1ebfu ch\u00fang t\u00f4i \u01b0\u1edbc t\u00ednh n\u00f3 b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng m\u1ed9t t\u1eadp d\u1eef li\u1ec7u hu\u1ea5n luy\u1ec7n kh\u00e1c. N\u00f3 th\u1ec3 hi\u1ec7n l\u1ed7i do \u0111\u1ed9 nh\u1ea1y c\u1ea3m v\u1edbi c\u00e1c bi\u1ebfn \u0111\u1ed9ng trong t\u1eadp hu\u1ea5n luy\u1ec7n. Ph\u01b0\u01a1ng sai cao c\u00f3 th\u1ec3 khi\u1ebfn thu\u1eadt to\u00e1n m\u00f4 h\u00ecnh h\u00f3a nhi\u1ec5u ng\u1eabu nhi\u00ean trong d\u1eef li\u1ec7u hu\u1ea5n luy\u1ec7n (trang b\u1ecb qu\u00e1 m\u1ee9c).<\/p>\n<h2>C\u1ea5u tr\u00fac b\u00ean trong: T\u00ecm hi\u1ec3u v\u1ec1 xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>\u0110\u1ed9 l\u1ec7ch v\u00e0 Ph\u01b0\u01a1ng sai l\u00e0 m\u1ed9t ph\u1ea7n c\u1ee7a c\u00e1c th\u00e0nh ph\u1ea7n l\u1ed7i trong d\u1ef1 \u0111o\u00e1n c\u1ee7a b\u1ea5t k\u1ef3 m\u00f4 h\u00ecnh n\u00e0o. Trong m\u00f4 h\u00ecnh h\u1ed3i quy ti\u00eau chu\u1ea9n, l\u1ed7i d\u1ef1 \u0111o\u00e1n b\u00ecnh ph\u01b0\u01a1ng d\u1ef1 ki\u1ebfn t\u1ea1i b\u1ea5t k\u1ef3 \u0111i\u1ec3m &#039;x&#039; n\u00e0o c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n t\u00e1ch th\u00e0nh l\u1ed7i Bias^2, Ph\u01b0\u01a1ng sai v\u00e0 L\u1ed7i kh\u00f4ng th\u1ec3 gi\u1ea3m \u0111\u01b0\u1ee3c.<\/p>\n<p>Sai s\u1ed1 kh\u00f4ng th\u1ec3 gi\u1ea3m \u0111\u01b0\u1ee3c l\u00e0 thu\u1eadt ng\u1eef nhi\u1ec5u v\u00e0 m\u00f4 h\u00ecnh kh\u00f4ng th\u1ec3 gi\u1ea3m \u0111\u01b0\u1ee3c n\u00f3. M\u1ee5c ti\u00eau c\u1ee7a h\u1ecdc m\u00e1y l\u00e0 t\u00ecm ra s\u1ef1 c\u00e2n b\u1eb1ng gi\u1eefa \u0110\u1ed9 l\u1ec7ch v\u00e0 Ph\u01b0\u01a1ng sai \u0111\u1ec3 gi\u1ea3m thi\u1ec3u t\u1ed5ng s\u1ed1 l\u1ed7i.<\/p>\n<h2>C\u00e1c \u0111\u1eb7c \u0111i\u1ec3m ch\u00ednh c\u1ee7a \u0111\u1ed9 l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>M\u1ed9t s\u1ed1 t\u00ednh n\u0103ng ch\u00ednh c\u1ee7a Xu h\u01b0\u1edbng v\u00e0 Ph\u01b0\u01a1ng sai bao g\u1ed3m:<\/p>\n<ol>\n<li>\n<p><strong>S\u1ef1 \u0111\u00e1nh \u0111\u1ed5i \u0111\u1ed9 l\u1ec7ch-ph\u01b0\u01a1ng sai:<\/strong> C\u00f3 s\u1ef1 c\u00e2n b\u1eb1ng gi\u1eefa kh\u1ea3 n\u0103ng c\u1ee7a m\u00f4 h\u00ecnh trong vi\u1ec7c gi\u1ea3m thi\u1ec3u sai l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai. Hi\u1ec3u \u0111\u01b0\u1ee3c s\u1ef1 c\u00e2n b\u1eb1ng n\u00e0y l\u00e0 c\u1ea7n thi\u1ebft \u0111\u1ec3 tr\u00e1nh trang b\u1ecb qu\u00e1 m\u1ee9c v\u00e0 thi\u1ebfu trang b\u1ecb.<\/p>\n<\/li>\n<li>\n<p><strong>\u0110\u1ed9 ph\u1ee9c t\u1ea1p c\u1ee7a m\u00f4 h\u00ecnh:<\/strong> C\u00e1c m\u00f4 h\u00ecnh c\u00f3 \u0111\u1ed9 ph\u1ee9c t\u1ea1p cao c\u00f3 xu h\u01b0\u1edbng c\u00f3 \u0111\u1ed9 l\u1ec7ch th\u1ea5p v\u00e0 ph\u01b0\u01a1ng sai cao. Ng\u01b0\u1ee3c l\u1ea1i, c\u00e1c m\u00f4 h\u00ecnh c\u00f3 \u0111\u1ed9 ph\u1ee9c t\u1ea1p th\u1ea5p c\u00f3 \u0111\u1ed9 l\u1ec7ch cao v\u00e0 ph\u01b0\u01a1ng sai th\u1ea5p.<\/p>\n<\/li>\n<li>\n<p><strong>Trang b\u1ecb qu\u00e1 m\u1ee9c v\u00e0 thi\u1ebfu trang b\u1ecb:<\/strong> Qu\u00e1 kh\u1edbp t\u01b0\u01a1ng \u1ee9ng v\u1edbi c\u00e1c m\u00f4 h\u00ecnh c\u00f3 ph\u01b0\u01a1ng sai cao v\u00e0 sai l\u1ec7ch th\u1ea5p b\u00e1m s\u00e1t d\u1eef li\u1ec7u hu\u1ea5n luy\u1ec7n. Ng\u01b0\u1ee3c l\u1ea1i, vi\u1ec7c trang b\u1ecb thi\u1ebfu t\u01b0\u01a1ng \u1ee9ng v\u1edbi c\u00e1c m\u00f4 h\u00ecnh c\u00f3 \u0111\u1ed9 l\u1ec7ch cao v\u00e0 ph\u01b0\u01a1ng sai th\u1ea5p kh\u00f4ng n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c c\u00e1c m\u1eabu quan tr\u1ecdng trong d\u1eef li\u1ec7u.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c lo\u1ea1i sai l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>M\u1eb7c d\u00f9 Xu h\u01b0\u1edbng v\u00e0 Ph\u01b0\u01a1ng sai l\u00e0 c\u00e1c kh\u00e1i ni\u1ec7m c\u1ed1t l\u00f5i v\u1eabn gi\u1eef nguy\u00ean nh\u01b0ng bi\u1ec3u hi\u1ec7n c\u1ee7a ch\u00fang c\u00f3 th\u1ec3 kh\u00e1c nhau t\u00f9y thu\u1ed9c v\u00e0o lo\u1ea1i thu\u1eadt to\u00e1n h\u1ecdc t\u1eadp v\u00e0 b\u1ea3n ch\u1ea5t c\u1ee7a v\u1ea5n \u0111\u1ec1. M\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p bao g\u1ed3m:<\/p>\n<ol>\n<li>\n<p><strong>Xu h\u01b0\u1edbng thu\u1eadt to\u00e1n:<\/strong> Trong c\u00e1c thu\u1eadt to\u00e1n h\u1ecdc, \u0111i\u1ec1u n\u00e0y l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a c\u00e1c gi\u1ea3 \u0111\u1ecbnh m\u00e0 thu\u1eadt to\u00e1n \u0111\u01b0a ra \u0111\u1ec3 l\u00e0m cho h\u00e0m m\u1ee5c ti\u00eau d\u1ec5 g\u1ea7n \u0111\u00fang h\u01a1n.<\/p>\n<\/li>\n<li>\n<p><strong>Xu h\u01b0\u1edbng d\u1eef li\u1ec7u:<\/strong> \u0110i\u1ec1u n\u00e0y x\u1ea3y ra khi d\u1eef li\u1ec7u \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 hu\u1ea5n luy\u1ec7n m\u00f4 h\u00ecnh kh\u00f4ng \u0111\u1ea1i di\u1ec7n cho t\u1ed5ng th\u1ec3 m\u00e0 n\u00f3 d\u1ef1 \u0111\u1ecbnh l\u1eadp m\u00f4 h\u00ecnh.<\/p>\n<\/li>\n<li>\n<p><strong>\u0110\u1ed9 l\u1ec7ch \u0111o l\u01b0\u1eddng:<\/strong> \u0110i\u1ec1u n\u00e0y l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a ph\u01b0\u01a1ng ph\u00e1p \u0111o l\u01b0\u1eddng ho\u1eb7c thu th\u1eadp d\u1eef li\u1ec7u b\u1ecb l\u1ed7i.<\/p>\n<\/li>\n<\/ol>\n<h2>S\u1eed d\u1ee5ng th\u00e0nh ki\u1ebfn v\u00e0 ph\u01b0\u01a1ng sai: Nh\u1eefng th\u00e1ch th\u1ee9c v\u00e0 gi\u1ea3i ph\u00e1p<\/h2>\n<p>Xu h\u01b0\u1edbng v\u00e0 Ph\u01b0\u01a1ng sai \u0111\u00f3ng vai tr\u00f2 ch\u1ea9n \u0111o\u00e1n hi\u1ec7u su\u1ea5t, gi\u00fap ch\u00fang t\u00f4i \u0111i\u1ec1u ch\u1ec9nh \u0111\u1ed9 ph\u1ee9c t\u1ea1p c\u1ee7a m\u00f4 h\u00ecnh v\u00e0 chu\u1ea9n h\u00f3a c\u00e1c m\u00f4 h\u00ecnh \u0111\u1ec3 kh\u00e1i qu\u00e1t h\u00f3a t\u1ed1t h\u01a1n. C\u00e1c v\u1ea5n \u0111\u1ec1 n\u1ea3y sinh khi m\u1ed9t m\u00f4 h\u00ecnh c\u00f3 \u0111\u1ed9 l\u1ec7ch cao (d\u1eabn \u0111\u1ebfn trang b\u1ecb thi\u1ebfu) ho\u1eb7c ph\u01b0\u01a1ng sai cao (d\u1eabn \u0111\u1ebfn trang b\u1ecb qu\u00e1 m\u1ee9c).<\/p>\n<p>Gi\u1ea3i ph\u00e1p cho nh\u1eefng v\u1ea5n \u0111\u1ec1 n\u00e0y bao g\u1ed3m:<\/p>\n<ul>\n<li>Th\u00eam\/b\u1edbt t\u00ednh n\u0103ng<\/li>\n<li>T\u0103ng\/gi\u1ea3m \u0111\u1ed9 ph\u1ee9c t\u1ea1p c\u1ee7a m\u00f4 h\u00ecnh<\/li>\n<li>Thu th\u1eadp th\u00eam d\u1eef li\u1ec7u \u0111\u00e0o t\u1ea1o<\/li>\n<li>Th\u1ef1c hi\u1ec7n c\u00e1c k\u1ef9 thu\u1eadt ch\u00ednh quy h\u00f3a.<\/li>\n<\/ul>\n<h2>So s\u00e1nh v\u1edbi c\u00e1c \u0111i\u1ec1u kho\u1ea3n t\u01b0\u01a1ng t\u1ef1<\/h2>\n<p>Xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai th\u01b0\u1eddng \u0111\u01b0\u1ee3c so s\u00e1nh v\u1edbi c\u00e1c thu\u1eadt ng\u1eef th\u1ed1ng k\u00ea kh\u00e1c. \u0110\u00e2y l\u00e0 m\u1ed9t so s\u00e1nh ng\u1eafn g\u1ecdn:<\/p>\n<table>\n<thead>\n<tr>\n<th>Thu\u1eadt ng\u1eef<\/th>\n<th>S\u1ef1 mi\u00eau t\u1ea3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Thi\u00ean ki\u1ebfn<\/td>\n<td>S\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa d\u1ef1 \u0111o\u00e1n d\u1ef1 ki\u1ebfn c\u1ee7a m\u00f4 h\u00ecnh c\u1ee7a ch\u00fang t\u00f4i v\u00e0 gi\u00e1 tr\u1ecb ch\u00ednh x\u00e1c.<\/td>\n<\/tr>\n<tr>\n<td>Ph\u01b0\u01a1ng sai<\/td>\n<td>S\u1ef1 thay \u0111\u1ed5i c\u1ee7a d\u1ef1 \u0111o\u00e1n m\u00f4 h\u00ecnh cho m\u1ed9t \u0111i\u1ec3m d\u1eef li\u1ec7u nh\u1ea5t \u0111\u1ecbnh.<\/td>\n<\/tr>\n<tr>\n<td>Trang b\u1ecb qu\u00e1 m\u1ee9c<\/td>\n<td>Khi m\u00f4 h\u00ecnh qu\u00e1 ph\u1ee9c t\u1ea1p v\u00e0 ph\u00f9 h\u1ee3p v\u1edbi nhi\u1ec5u h\u01a1n l\u00e0 xu h\u01b0\u1edbng c\u01a1 b\u1ea3n.<\/td>\n<\/tr>\n<tr>\n<td>Thi\u1ebfu trang b\u1ecb<\/td>\n<td>Khi m\u00f4 h\u00ecnh qu\u00e1 \u0111\u01a1n gi\u1ea3n \u0111\u1ec3 n\u1eafm b\u1eaft xu h\u01b0\u1edbng trong d\u1eef li\u1ec7u.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Quan \u0111i\u1ec3m v\u00e0 c\u00f4ng ngh\u1ec7 t\u01b0\u01a1ng lai li\u00ean quan \u0111\u1ebfn sai l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>V\u1edbi nh\u1eefng ti\u1ebfn b\u1ed9 trong h\u1ecdc s\u00e2u v\u00e0 c\u00e1c m\u00f4 h\u00ecnh ph\u1ee9c t\u1ea1p h\u01a1n, vi\u1ec7c hi\u1ec3u v\u00e0 qu\u1ea3n l\u00fd \u0111\u1ed9 l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai c\u00e0ng tr\u1edf n\u00ean quan tr\u1ecdng h\u01a1n. C\u00e1c k\u1ef9 thu\u1eadt nh\u01b0 ch\u00ednh quy h\u00f3a L1\/L2, B\u1ecf h\u1ecdc, D\u1eebng s\u1edbm v\u00e0 c\u00e1c k\u1ef9 thu\u1eadt kh\u00e1c cung c\u1ea5p nh\u1eefng c\u00e1ch hi\u1ec7u qu\u1ea3 \u0111\u1ec3 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 n\u00e0y.<\/p>\n<p>C\u00f4ng vi\u1ec7c trong t\u01b0\u01a1ng lai trong l\u0129nh v\u1ef1c n\u00e0y c\u00f3 th\u1ec3 li\u00ean quan \u0111\u1ebfn c\u00e1c k\u1ef9 thu\u1eadt m\u1edbi \u0111\u1ec3 c\u00e2n b\u1eb1ng \u0111\u1ed9 l\u1ec7ch v\u00e0 ph\u01b0\u01a1ng sai, \u0111\u1eb7c bi\u1ec7t l\u00e0 \u0111\u1ed1i v\u1edbi c\u00e1c m\u00f4 h\u00ecnh h\u1ecdc s\u00e2u. H\u01a1n n\u1eefa, hi\u1ec3u \u0111\u01b0\u1ee3c s\u1ef1 thi\u00ean v\u1ecb v\u00e0 ph\u01b0\u01a1ng sai c\u00f3 th\u1ec3 g\u00f3p ph\u1ea7n ph\u00e1t tri\u1ec3n c\u00e1c h\u1ec7 th\u1ed1ng AI m\u1ea1nh m\u1ebd v\u00e0 \u0111\u00e1ng tin c\u1eady h\u01a1n.<\/p>\n<h2>M\u00e1y ch\u1ee7 proxy v\u00e0 xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai<\/h2>\n<p>M\u1eb7c d\u00f9 d\u01b0\u1eddng nh\u01b0 kh\u00f4ng li\u00ean quan nh\u01b0ng c\u00e1c m\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 c\u00f3 m\u1ed1i quan h\u1ec7 thi\u00ean v\u1ecb v\u00e0 kh\u00e1c bi\u1ec7t trong b\u1ed1i c\u1ea3nh thu th\u1eadp d\u1eef li\u1ec7u. M\u00e1y ch\u1ee7 proxy cho ph\u00e9p qu\u00e9t d\u1eef li\u1ec7u \u1ea9n danh, cho ph\u00e9p c\u00e1c c\u00f4ng ty thu th\u1eadp d\u1eef li\u1ec7u t\u1eeb nhi\u1ec1u v\u1ecb tr\u00ed \u0111\u1ecba l\u00fd kh\u00e1c nhau m\u00e0 kh\u00f4ng b\u1ecb ch\u1eb7n ho\u1eb7c cung c\u1ea5p d\u1eef li\u1ec7u sai l\u1ec7ch. \u0110i\u1ec1u n\u00e0y gi\u00fap gi\u1ea3m sai l\u1ec7ch d\u1eef li\u1ec7u, l\u00e0m cho c\u00e1c m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n \u0111\u01b0\u1ee3c \u0111\u00e0o t\u1ea1o tr\u00ean d\u1eef li\u1ec7u tr\u1edf n\u00ean \u0111\u00e1ng tin c\u1eady v\u00e0 ch\u00ednh x\u00e1c h\u01a1n.<\/p>\n<h2>Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n<p>\u0110\u1ec3 bi\u1ebft th\u00eam th\u00f4ng tin v\u1ec1 Xu h\u01b0\u1edbng v\u00e0 Ph\u01b0\u01a1ng sai, vui l\u00f2ng tham kh\u1ea3o c\u00e1c t\u00e0i nguy\u00ean sau:<\/p>\n<ol>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Bias%E2%80%93variance_tradeoff\" target=\"_new\" rel=\"noopener nofollow\">S\u1ef1 \u0111\u00e1nh \u0111\u1ed5i sai l\u1ec7ch-ph\u01b0\u01a1ng sai (Wikipedia)<\/a><\/li>\n<li><a href=\"https:\/\/towardsdatascience.com\/understanding-the-bias-variance-tradeoff-165e6942b229\" target=\"_new\" rel=\"noopener nofollow\">T\u00ecm hi\u1ec3u s\u1ef1 \u0111\u00e1nh \u0111\u1ed5i sai l\u1ec7ch-ph\u01b0\u01a1ng sai (H\u01b0\u1edbng t\u1edbi khoa h\u1ecdc d\u1eef li\u1ec7u)<\/a><\/li>\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/bias-vs-variance-in-machine-learning\/\" target=\"_new\" rel=\"noopener nofollow\">Xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai trong h\u1ecdc m\u00e1y (GeeksforGeeks)<\/a><\/li>\n<li><a href=\"https:\/\/web.stanford.edu\/~hastie\/ElemStatLearn\/\" target=\"_new\" rel=\"noopener nofollow\">Xu h\u01b0\u1edbng v\u00e0 ph\u01b0\u01a1ng sai (H\u1ecdc th\u1ed1ng k\u00ea, \u0110\u1ea1i h\u1ecdc Stanford)<\/a><\/li>\n<\/ol>","protected":false},"featured_media":467715,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-476007","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Bias and Variance: A Comprehensive Overview<\/mark>","faq_items":[{"question":"What are Bias and Variance in the context of machine learning?","answer":"<p>Bias and Variance are fundamental concepts in machine learning, statistics, and data analysis. Bias refers to the systematic error introduced by approximating a real-world complexity by a much simpler model. Variance refers to the amount by which our model would change if we estimated it using a different training dataset.<\/p>"},{"question":"When were the concepts of Bias and Variance first introduced?","answer":"<p>The concepts of Bias and Variance originated from the field of estimation theory and were introduced into mainstream statistical literature around the mid-20th century. They have since been applied to errors in predictions, leading to their adoption in machine learning.<\/p>"},{"question":"What is the Bias-Variance tradeoff?","answer":"<p>The Bias-Variance tradeoff is the balance that must be achieved between bias and variance to minimize total error. Typically, models with high bias (simpler models) have low variance and vice versa. This tradeoff helps prevent overfitting and underfitting of models.<\/p>"},{"question":"How can Bias and Variance problems be addressed?","answer":"<p>Problems arising from high bias or high variance can be addressed by adjusting the complexity of the model. High bias problems (underfitting) can be mitigated by increasing the complexity of the model or adding more features. High variance problems (overfitting) can be reduced by decreasing model complexity, gathering more training data, or implementing regularization techniques.<\/p>"},{"question":"How do Bias and Variance relate to future technologies?","answer":"<p>With advancements in deep learning and complex models, understanding and managing bias and variance become even more crucial. Future work in this area may involve developing new techniques for balancing bias and variance, particularly for deep learning models. Understanding bias and variance can also contribute to creating more robust and trustworthy AI systems.<\/p>"},{"question":"Can proxy servers be associated with Bias and Variance?","answer":"<p>Yes, proxy servers can be associated with bias and variance in the context of data collection. By enabling anonymous data scraping from different geographical locations, proxy servers help reduce data bias, making predictive models trained on such data more reliable and accurate.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/476007","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\/476007\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media\/467715"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=476007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}