{"id":477156,"date":"2023-08-09T09:08:09","date_gmt":"2023-08-09T09:08:09","guid":{"rendered":""},"modified":"2023-09-05T11:14:07","modified_gmt":"2023-09-05T11:14:07","slug":"exponential-smoothing","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/exponential-smoothing\/","title":{"rendered":"L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n"},"content":{"rendered":"<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n l\u00e0 m\u1ed9t k\u1ef9 thu\u1eadt th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong ph\u00e2n t\u00edch v\u00e0 d\u1ef1 b\u00e1o chu\u1ed7i th\u1eddi gian. N\u00f3 \u0111\u1eb7c bi\u1ec7t c\u00f3 gi\u00e1 tr\u1ecb \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n c\u00e1c gi\u00e1 tr\u1ecb trong t\u01b0\u01a1ng lai d\u1ef1a tr\u00ean d\u1eef li\u1ec7u l\u1ecbch s\u1eed. \u0110\u01b0\u1ee3c ph\u00e1t tri\u1ec3n v\u00e0o gi\u1eefa th\u1ebf k\u1ef7 20, ph\u01b0\u01a1ng ph\u00e1p n\u00e0y \u0111\u00e3 \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau, bao g\u1ed3m kinh t\u1ebf, t\u00e0i ch\u00ednh, qu\u1ea3n l\u00fd chu\u1ed7i cung \u1ee9ng, v.v. Kh\u1ea3 n\u0103ng th\u00edch \u1ee9ng v\u1edbi c\u00e1c xu h\u01b0\u1edbng thay \u0111\u1ed5i v\u00e0 t\u00ednh th\u1eddi v\u1ee5 khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn ph\u1ed5 bi\u1ebfn \u0111\u1ec3 l\u00e0m m\u1ecbn v\u00e0 d\u1ef1 b\u00e1o d\u1eef li\u1ec7u chu\u1ed7i th\u1eddi gian.<\/p>\n<h2>L\u1ecbch s\u1eed ngu\u1ed3n g\u1ed1c c\u1ee7a vi\u1ec7c l\u00e0m m\u1ecbn h\u00e0m m\u0169 v\u00e0 s\u1ef1 \u0111\u1ec1 c\u1eadp \u0111\u1ea7u ti\u00ean v\u1ec1 n\u00f3<\/h2>\n<p>Kh\u00e1i ni\u1ec7m l\u00e0m m\u1ecbn h\u00e0m m\u0169 l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c gi\u1edbi thi\u1ec7u b\u1edfi Robert Goodell Brown v\u00e0o n\u0103m 1956, ng\u01b0\u1eddi \u0111\u00e3 xu\u1ea5t b\u1ea3n m\u1ed9t b\u00e0i b\u00e1o chuy\u00ean \u0111\u1ec1 c\u00f3 t\u1ef1a \u0111\u1ec1 \u201cL\u00e0m m\u1ecbn h\u00e0m m\u0169 \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n nhu c\u1ea7u\u201d tr\u00ean T\u1ea1p ch\u00ed c\u1ee7a Hi\u1ec7p h\u1ed9i Nghi\u00ean c\u1ee9u Ho\u1ea1t \u0111\u1ed9ng Hoa K\u1ef3. C\u00f4ng tr\u00ecnh c\u1ee7a Brown \u0111\u00e3 \u0111\u1eb7t n\u1ec1n m\u00f3ng cho k\u1ef9 thu\u1eadt d\u1ef1 b\u00e1o m\u1ea1nh m\u1ebd n\u00e0y, k\u1ef9 thu\u1eadt n\u00e0y \u0111\u00e3 \u0111\u01b0\u1ee3c m\u1edf r\u1ed9ng v\u00e0 c\u1ea3i ti\u1ebfn b\u1edfi nhi\u1ec1u nh\u00e0 nghi\u00ean c\u1ee9u v\u00e0 th\u1ef1c h\u00e0nh.<\/p>\n<h2>Th\u00f4ng tin chi ti\u1ebft v\u1ec1 l\u00e0m m\u1ecbn h\u00e0m m\u0169<\/h2>\n<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n ho\u1ea1t \u0111\u1ed9ng theo nguy\u00ean t\u1eafc g\u00e1n tr\u1ecdng s\u1ed1 gi\u1ea3m theo c\u1ea5p s\u1ed1 nh\u00e2n cho c\u00e1c quan s\u00e1t trong qu\u00e1 kh\u1ee9, v\u1edbi c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u g\u1ea7n \u0111\u00e2y nh\u1eadn \u0111\u01b0\u1ee3c tr\u1ecdng s\u1ed1 cao h\u01a1n c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u c\u0169. Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y s\u1eed d\u1ee5ng tham s\u1ed1 l\u00e0m m\u1ecbn (alpha) \u0111\u1ec3 ki\u1ec3m so\u00e1t t\u1ed1c \u0111\u1ed9 gi\u1ea3m tr\u1ecdng s\u1ed1. Gi\u00e1 tr\u1ecb d\u1ef1 \u0111o\u00e1n t\u1ea1i th\u1eddi \u0111i\u1ec3m t+1 (k\u00fd hi\u1ec7u l\u00e0 F(t+1)) \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c sau:<\/p>\n<p>F(t+1) = \u03b1 * D(t) + (1 \u2013 \u03b1) * F(t)<\/p>\n<p>\u1ede \u0111\u00e2u:<\/p>\n<ul>\n<li>F(t+1) l\u00e0 gi\u00e1 tr\u1ecb d\u1ef1 b\u00e1o t\u1ea1i th\u1eddi \u0111i\u1ec3m t+1.<\/li>\n<li>D(t) l\u00e0 gi\u00e1 tr\u1ecb th\u1ef1c t\u1ebf quan s\u00e1t \u0111\u01b0\u1ee3c t\u1ea1i th\u1eddi \u0111i\u1ec3m t.<\/li>\n<li>F(t) l\u00e0 gi\u00e1 tr\u1ecb d\u1ef1 b\u00e1o t\u1ea1i th\u1eddi \u0111i\u1ec3m t.<\/li>\n<li>\u03b1 l\u00e0 tham s\u1ed1 l\u00e0m m\u1ecbn, th\u01b0\u1eddng \u0111\u01b0\u1ee3c \u0111\u1eb7t trong kho\u1ea3ng t\u1eeb 0 \u0111\u1ebfn 1.<\/li>\n<\/ul>\n<p>Khi c\u00f3 d\u1eef li\u1ec7u m\u1edbi, d\u1ef1 b\u00e1o s\u1ebd \u0111\u01b0\u1ee3c c\u1eadp nh\u1eadt, l\u00e0m t\u0103ng t\u1ea7m quan tr\u1ecdng c\u1ee7a nh\u1eefng quan s\u00e1t g\u1ea7n \u0111\u00e2y \u0111\u1ed3ng th\u1eddi gi\u1ea3m d\u1ea7n t\u00e1c \u0111\u1ed9ng c\u1ee7a d\u1eef li\u1ec7u c\u0169. Gi\u00e1 tr\u1ecb c\u1ee7a \u03b1 x\u00e1c \u0111\u1ecbnh m\u1ee9c \u0111\u1ed9 ph\u1ea3n h\u1ed3i c\u1ee7a m\u00f4 h\u00ecnh \u0111\u1ed1i v\u1edbi nh\u1eefng thay \u0111\u1ed5i trong d\u1eef li\u1ec7u c\u01a1 b\u1ea3n.<\/p>\n<h2>C\u1ea5u tr\u00fac b\u00ean trong c\u1ee7a l\u00e0m m\u1ecbn h\u00e0m m\u0169: C\u00e1ch th\u1ee9c ho\u1ea1t \u0111\u1ed9ng c\u1ee7a l\u00e0m m\u1ecbn h\u00e0m m\u0169<\/h2>\n<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i th\u00e0nh ba lo\u1ea1i ch\u00ednh d\u1ef1a tr\u00ean s\u1ed1 l\u01b0\u1ee3ng tham s\u1ed1 l\u00e0m m\u1ecbn \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng: L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n \u0111\u01a1n gi\u1ea3n, L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n \u0111\u00f4i v\u00e0 L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n ba (ph\u01b0\u01a1ng ph\u00e1p Holt-Winters). M\u1ed7i lo\u1ea1i l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n ph\u1ee5c v\u1ee5 m\u1ed9t m\u1ee5c \u0111\u00edch c\u1ee5 th\u1ec3:<\/p>\n<ol>\n<li>\n<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n \u0111\u01a1n gi\u1ea3n:<\/p>\n<ul>\n<li>Ch\u1ec9 s\u1eed d\u1ee5ng m\u1ed9t tham s\u1ed1 l\u00e0m m\u1ecbn (\u03b1).<\/li>\n<li>Th\u00edch h\u1ee3p cho d\u1eef li\u1ec7u kh\u00f4ng c\u00f3 xu h\u01b0\u1edbng ho\u1eb7c t\u00ednh th\u1eddi v\u1ee5 r\u00f5 r\u00e0ng.<\/li>\n<li>Gi\u1ea3 s\u1eed qu\u00e1 tr\u00ecnh c\u01a1 b\u1ea3n l\u00e0 b\u01b0\u1edbc \u0111i ng\u1eabu nhi\u00ean c\u00f3 \u0111\u1ed9 tr\u00f4i.<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>L\u00e0m m\u1ecbn h\u00e0m m\u0169 k\u00e9p (ph\u01b0\u01a1ng ph\u00e1p Holt):<\/p>\n<ul>\n<li>S\u1eed d\u1ee5ng hai tham s\u1ed1 l\u00e0m m\u1ecbn (\u03b1 v\u00e0 \u03b2).<\/li>\n<li>Hi\u1ec7u qu\u1ea3 \u0111\u1ed1i v\u1edbi d\u1eef li\u1ec7u c\u00f3 xu h\u01b0\u1edbng tuy\u1ebfn t\u00ednh nh\u01b0ng kh\u00f4ng c\u00f3 t\u00ednh th\u1eddi v\u1ee5.<\/li>\n<li>Gi\u1ea3 s\u1eed qu\u00e1 tr\u00ecnh c\u01a1 b\u1ea3n tu\u00e2n theo m\u1ed9t xu h\u01b0\u1edbng tuy\u1ebfn t\u00ednh.<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n ba l\u1ea7n (ph\u01b0\u01a1ng ph\u00e1p Holt-Winters):<\/p>\n<ul>\n<li>K\u1ebft h\u1ee3p ba tham s\u1ed1 l\u00e0m m\u1ecbn (\u03b1, \u03b2 v\u00e0 \u03b3).<\/li>\n<li>L\u00fd t\u01b0\u1edfng cho d\u1eef li\u1ec7u c\u00f3 c\u1ea3 xu h\u01b0\u1edbng v\u00e0 t\u00ednh th\u1eddi v\u1ee5.<\/li>\n<li>Gi\u1ea3 s\u1eed quy tr\u00ecnh c\u01a1 b\u1ea3n c\u00f3 xu h\u01b0\u1edbng tuy\u1ebfn t\u00ednh v\u00e0 tu\u00e2n theo m\u00f4 h\u00ecnh theo m\u00f9a.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h2>Ph\u00e2n t\u00edch c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m ch\u00ednh c\u1ee7a l\u00e0m m\u1ecbn h\u00e0m m\u0169<\/h2>\n<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n cung c\u1ea5p m\u1ed9t s\u1ed1 t\u00ednh n\u0103ng ch\u00ednh khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn ph\u1ed5 bi\u1ebfn \u0111\u1ec3 d\u1ef1 b\u00e1o chu\u1ed7i th\u1eddi gian:<\/p>\n<ol>\n<li>\n<p>T\u00ednh \u0111\u01a1n gi\u1ea3n: Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y d\u1ec5 th\u1ef1c hi\u1ec7n v\u00e0 di\u1ec5n gi\u1ea3i, gi\u00fap nhi\u1ec1u ng\u01b0\u1eddi d\u00f9ng c\u00f3 th\u1ec3 ti\u1ebfp c\u1eadn, k\u1ec3 c\u1ea3 nh\u1eefng ng\u01b0\u1eddi kh\u00f4ng ph\u1ea3i l\u00e0 chuy\u00ean gia.<\/p>\n<\/li>\n<li>\n<p>T\u00ednh linh ho\u1ea1t: V\u1edbi c\u00e1c bi\u1ebfn th\u1ec3 kh\u00e1c nhau c\u00f3 s\u1eb5n (\u0110\u01a1n gi\u1ea3n, \u0110\u00f4i v\u00e0 Ba), l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n c\u00f3 th\u1ec3 x\u1eed l\u00fd nhi\u1ec1u lo\u1ea1i d\u1eef li\u1ec7u chu\u1ed7i th\u1eddi gian kh\u00e1c nhau.<\/p>\n<\/li>\n<li>\n<p>Kh\u1ea3 n\u0103ng th\u00edch \u1ee9ng: Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y t\u1ef1 \u0111\u1ed9ng \u0111i\u1ec1u ch\u1ec9nh m\u00f4 h\u00ecnh d\u1ef1 b\u00e1o khi c\u00f3 d\u1eef li\u1ec7u m\u1edbi, cho ph\u00e9p m\u00f4 h\u00ecnh ph\u1ea3n \u1ee9ng v\u1edbi nh\u1eefng thay \u0111\u1ed5i trong c\u00e1c m\u00f4 h\u00ecnh c\u01a1 b\u1ea3n.<\/p>\n<\/li>\n<li>\n<p>T\u00ednh trung b\u00ecnh c\u00f3 tr\u1ecdng s\u1ed1: L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n t\u1eadp trung nhi\u1ec1u h\u01a1n v\u00e0o c\u00e1c \u0111i\u1ec3m d\u1eef li\u1ec7u g\u1ea7n \u0111\u00e2y, n\u1eafm b\u1eaft c\u00e1c bi\u1ebfn \u0111\u1ed9ng ng\u1eafn h\u1ea1n trong khi t\u00ednh to\u00e1n c\u00e1c xu h\u01b0\u1edbng t\u1ed5ng th\u1ec3.<\/p>\n<\/li>\n<li>\n<p>Hi\u1ec7u qu\u1ea3 t\u00ednh to\u00e1n: C\u00e1c ph\u00e9p t\u00ednh li\u00ean quan \u0111\u1ebfn l\u00e0m m\u1ecbn h\u00e0m m\u0169 t\u01b0\u01a1ng \u0111\u1ed1i \u0111\u01a1n gi\u1ea3n, gi\u00fap cho vi\u1ec7c d\u1ef1 b\u00e1o theo th\u1eddi gian th\u1ef1c tr\u1edf n\u00ean hi\u1ec7u qu\u1ea3 v\u1ec1 m\u1eb7t t\u00ednh to\u00e1n.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c ki\u1ec3u l\u00e0m m\u1ecbn h\u00e0m m\u0169<\/h2>\n<table>\n<thead>\n<tr>\n<th>Ki\u1ec3u<\/th>\n<th>S\u1ef1 mi\u00eau t\u1ea3<\/th>\n<th>Th\u00edch h\u1ee3p cho d\u1eef li\u1ec7u v\u1edbi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>L\u00e0m m\u1ecbn h\u00e0m m\u0169 \u0111\u01a1n gi\u1ea3n<\/td>\n<td>S\u1eed d\u1ee5ng m\u1ed9t tham s\u1ed1 l\u00e0m m\u1ecbn duy nh\u1ea5t.<\/td>\n<td>Kh\u00f4ng c\u00f3 xu h\u01b0\u1edbng ho\u1eb7c t\u00ednh th\u1eddi v\u1ee5.<\/td>\n<\/tr>\n<tr>\n<td>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n \u0111\u00f4i<\/td>\n<td>S\u1eed d\u1ee5ng hai tham s\u1ed1 l\u00e0m m\u1ecbn.<\/td>\n<td>Xu h\u01b0\u1edbng tuy\u1ebfn t\u00ednh, kh\u00f4ng c\u00f3 t\u00ednh th\u1eddi v\u1ee5.<\/td>\n<\/tr>\n<tr>\n<td>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n ba l\u1ea7n<\/td>\n<td>K\u1ebft h\u1ee3p ba tham s\u1ed1 l\u00e0m m\u1ecbn.<\/td>\n<td>Xu h\u01b0\u1edbng v\u00e0 t\u00ednh th\u1eddi v\u1ee5.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>C\u00e1c c\u00e1ch s\u1eed d\u1ee5ng l\u00e0m m\u1ecbn h\u00e0m m\u0169, 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>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n t\u00ecm th\u1ea5y c\u00e1c \u1ee9ng d\u1ee5ng trong c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c nhau, bao g\u1ed3m:<\/p>\n<ol>\n<li>\n<p>D\u1ef1 b\u00e1o nhu c\u1ea7u: C\u00e1c doanh nghi\u1ec7p s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n nhu c\u1ea7u trong t\u01b0\u01a1ng lai \u0111\u1ed1i v\u1edbi s\u1ea3n ph\u1ea9m ho\u1eb7c d\u1ecbch v\u1ee5 c\u1ee7a h\u1ecd, h\u1ed7 tr\u1ee3 qu\u1ea3n l\u00fd h\u00e0ng t\u1ed3n kho v\u00e0 t\u1ed1i \u01b0u h\u00f3a chu\u1ed7i cung \u1ee9ng.<\/p>\n<\/li>\n<li>\n<p>Ph\u00e2n t\u00edch t\u00e0i ch\u00ednh: L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n gi\u00fap c\u00e1c nh\u00e0 ph\u00e2n t\u00edch d\u1ef1 b\u00e1o c\u00e1c s\u1ed1 li\u1ec7u t\u00e0i ch\u00ednh nh\u01b0 doanh thu, doanh thu v\u00e0 d\u00f2ng ti\u1ec1n, h\u1ed7 tr\u1ee3 l\u1eadp ng\u00e2n s\u00e1ch v\u00e0 l\u1eadp k\u1ebf ho\u1ea1ch t\u00e0i ch\u00ednh.<\/p>\n<\/li>\n<li>\n<p>L\u1eadp k\u1ebf ho\u1ea1ch ngu\u1ed3n l\u1ef1c: C\u00e1c t\u1ed5 ch\u1ee9c s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n \u0111\u1ec3 l\u1eadp k\u1ebf ho\u1ea1ch ph\u00e2n b\u1ed5 ngu\u1ed3n l\u1ef1c, ch\u1eb3ng h\u1ea1n nh\u01b0 l\u1eadp l\u1ecbch tr\u00ecnh l\u1ef1c l\u01b0\u1ee3ng lao \u0111\u1ed9ng v\u00e0 n\u0103ng l\u1ef1c s\u1ea3n xu\u1ea5t.<\/p>\n<\/li>\n<\/ol>\n<p>Nh\u1eefng th\u00e1ch th\u1ee9c v\u1edbi vi\u1ec7c l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n:<\/p>\n<ol>\n<li>\n<p>\u0110\u1ed9 nh\u1ea1y \u0111\u1ed1i v\u1edbi c\u00e1c tham s\u1ed1: Hi\u1ec7u su\u1ea5t c\u1ee7a c\u00e1c m\u00f4 h\u00ecnh l\u00e0m m\u1ecbn h\u00e0m m\u0169 c\u00f3 th\u1ec3 nh\u1ea1y c\u1ea3m v\u1edbi vi\u1ec7c l\u1ef1a ch\u1ecdn c\u00e1c tham s\u1ed1 l\u00e0m m\u1ecbn, d\u1eabn \u0111\u1ebfn c\u00e1c d\u1ef1 b\u00e1o d\u01b0\u1edbi m\u1ee9c t\u1ed1i \u01b0u.<\/p>\n<\/li>\n<li>\n<p>X\u1eed l\u00fd c\u00e1c gi\u00e1 tr\u1ecb ngo\u1ea1i l\u1ec7: Vi\u1ec7c l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n c\u00f3 th\u1ec3 g\u1eb7p kh\u00f3 kh\u0103n trong vi\u1ec7c x\u1eed l\u00fd c\u00e1c gi\u00e1 tr\u1ecb ngo\u1ea1i l\u1ec7 ho\u1eb7c nh\u1eefng thay \u0111\u1ed5i \u0111\u1ed9t ng\u1ed9t trong chu\u1ed7i th\u1eddi gian, c\u00f3 kh\u1ea3 n\u0103ng \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn \u0111\u1ed9 ch\u00ednh x\u00e1c c\u1ee7a d\u1ef1 \u0111o\u00e1n.<\/p>\n<\/li>\n<\/ol>\n<p>C\u00e1c gi\u1ea3i ph\u00e1p c\u1ea3i thi\u1ec7n vi\u1ec7c l\u00e0m m\u1ecbn h\u00e0m m\u0169:<\/p>\n<ol>\n<li>\n<p>T\u1ed1i \u01b0u h\u00f3a tham s\u1ed1: \u0110i\u1ec1u ch\u1ec9nh tham s\u1ed1 c\u1ea9n th\u1eadn th\u00f4ng qua x\u00e1c th\u1ef1c ch\u00e9o v\u00e0 t\u00ecm ki\u1ebfm l\u01b0\u1edbi c\u00f3 th\u1ec3 n\u00e2ng cao hi\u1ec7u su\u1ea5t c\u1ee7a m\u00f4 h\u00ecnh.<\/p>\n<\/li>\n<li>\n<p>Ph\u00e1t hi\u1ec7n ngo\u1ea1i l\u1ec7: C\u00e1c k\u1ef9 thu\u1eadt ti\u1ec1n x\u1eed l\u00fd nh\u01b0 ph\u00e1t hi\u1ec7n ngo\u1ea1i l\u1ec7 v\u00e0 chuy\u1ec3n \u0111\u1ed5i d\u1eef li\u1ec7u c\u00f3 th\u1ec3 gi\u00fap gi\u1ea3m thi\u1ec3u t\u00e1c \u0111\u1ed9ng c\u1ee7a c\u00e1c ngo\u1ea1i l\u1ec7.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c \u0111\u1eb7c \u0111i\u1ec3m ch\u00ednh v\u00e0 nh\u1eefng so s\u00e1nh kh\u00e1c v\u1edbi c\u00e1c thu\u1eadt ng\u1eef t\u01b0\u01a1ng t\u1ef1<\/h2>\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>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n<\/td>\n<td>K\u1ef9 thu\u1eadt d\u1ef1 b\u00e1o chu\u1ed7i th\u1eddi gian s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p t\u00ednh trung b\u00ecnh c\u00f3 tr\u1ecdng s\u1ed1 c\u1ee7a c\u00e1c quan s\u00e1t trong qu\u00e1 kh\u1ee9.<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u01b0\u1eddng trung b\u00ecnh \u0111\u1ed9ng<\/td>\n<td>M\u1ed9t k\u1ef9 thu\u1eadt l\u00e0m m\u1ecbn chu\u1ed7i th\u1eddi gian kh\u00e1c t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb trung b\u00ecnh tr\u00ean m\u1ed9t c\u1eeda s\u1ed5 d\u1eef li\u1ec7u c\u1ed1 \u0111\u1ecbnh.<\/td>\n<\/tr>\n<tr>\n<td>S\u1ef1 ph\u00e2n h\u1ee7y theo m\u00f9a<\/td>\n<td>Ph\u01b0\u01a1ng ph\u00e1p t\u00e1ch chu\u1ed7i th\u1eddi gian th\u00e0nh c\u00e1c th\u00e0nh ph\u1ea7n xu h\u01b0\u1edbng, t\u00ednh th\u1eddi v\u1ee5 v\u00e0 ph\u1ea7n d\u01b0.<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u01b0\u1eddng trung b\u00ecnh \u0111\u1ed9ng t\u00edch h\u1ee3p t\u1ef1 h\u1ed3i quy (ARIMA)<\/td>\n<td>M\u1ed9t ph\u01b0\u01a1ng ph\u00e1p d\u1ef1 b\u00e1o chu\u1ed7i th\u1eddi gian ph\u1ee9c t\u1ea1p h\u01a1n nh\u1eb1m m\u00f4 h\u00ecnh h\u00f3a s\u1ef1 kh\u00e1c bi\u1ec7t d\u1eef li\u1ec7u, t\u1ef1 h\u1ed3i quy v\u00e0 \u0111\u01b0\u1eddng trung b\u00ecnh \u0111\u1ed9ng.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Quan \u0111i\u1ec3m v\u00e0 c\u00f4ng ngh\u1ec7 c\u1ee7a t\u01b0\u01a1ng lai li\u00ean quan \u0111\u1ebfn l\u00e0m m\u1ecbn h\u00e0m m\u0169<\/h2>\n<p>L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n c\u00f3 th\u1ec3 v\u1eabn c\u00f2n ph\u00f9 h\u1ee3p trong t\u01b0\u01a1ng lai do t\u00ednh \u0111\u01a1n gi\u1ea3n v\u00e0 hi\u1ec7u qu\u1ea3 c\u1ee7a n\u00f3. Tuy nhi\u00ean, nh\u1eefng ti\u1ebfn b\u1ed9 trong h\u1ecdc m\u00e1y v\u00e0 tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o c\u00f3 th\u1ec3 \u0111\u01b0a ra c\u00e1c k\u1ef9 thu\u1eadt d\u1ef1 b\u00e1o ph\u1ee9c t\u1ea1p h\u01a1n, c\u00f3 th\u1ec3 x\u1eed l\u00fd d\u1eef li\u1ec7u chu\u1ed7i th\u1eddi gian ph\u1ee9c t\u1ea1p v\u1edbi \u0111\u1ed9 ch\u00ednh x\u00e1c cao h\u01a1n.<\/p>\n<h2>L\u00e0m th\u1ebf n\u00e0o m\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng ho\u1eb7c li\u00ean k\u1ebft v\u1edbi l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n<\/h2>\n<p>M\u00e1y ch\u1ee7 proxy \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c \u0111\u1ea3m b\u1ea3o t\u00ednh \u1ea9n danh v\u00e0 quy\u1ec1n ri\u00eang t\u01b0 khi s\u1eed d\u1ee5ng internet. Khi x\u1eed l\u00fd d\u1eef li\u1ec7u chu\u1ed7i th\u1eddi gian, \u0111\u1eb7c bi\u1ec7t trong c\u00e1c tr\u01b0\u1eddng h\u1ee3p c\u1ea7n th\u1ef1c hi\u1ec7n d\u1ef1 b\u00e1o \u1ea9n danh, m\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 che gi\u1ea5u danh t\u00ednh v\u00e0 v\u1ecb tr\u00ed c\u1ee7a ng\u01b0\u1eddi d\u00f9ng. \u0110i\u1ec1u n\u00e0y \u0111\u1eb7c bi\u1ec7t c\u00f3 li\u00ean quan trong tr\u01b0\u1eddng h\u1ee3p c\u00f3 li\u00ean quan \u0111\u1ebfn d\u1eef li\u1ec7u nh\u1ea1y c\u1ea3m ho\u1eb7c th\u00f4ng tin \u0111\u1ed9c quy\u1ec1n.<\/p>\n<h2>Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n<p>\u0110\u1ec3 bi\u1ebft th\u00eam th\u00f4ng tin v\u1ec1 L\u00e0m m\u1ecbn h\u00e0m m\u0169, 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\/Exponential_smoothing\" target=\"_new\" rel=\"noopener nofollow\">Wikipedia - L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n<\/a><\/li>\n<li><a href=\"https:\/\/towardsdatascience.com\/time-series-forecasting-with-exponential-smoothing-in-python-30d037a0d48d\" target=\"_new\" rel=\"noopener nofollow\">H\u01b0\u1edbng t\u1edbi khoa h\u1ecdc d\u1eef li\u1ec7u - D\u1ef1 b\u00e1o chu\u1ed7i th\u1eddi gian v\u1edbi t\u00ednh n\u0103ng l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n trong Python<\/a><\/li>\n<li><a href=\"https:\/\/otexts.com\/fpp2\/expsmooth.html\" target=\"_new\" rel=\"noopener nofollow\">D\u1ef1 b\u00e1o: Nguy\u00ean t\u1eafc v\u00e0 th\u1ef1c ti\u1ec5n \u2013 L\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n<\/a><\/li>\n<\/ol>\n<p>T\u00f3m l\u1ea1i, l\u00e0m m\u1ecbn h\u00e0m m\u0169 l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p linh ho\u1ea1t v\u00e0 hi\u1ec7u qu\u1ea3 \u0111\u1ec3 d\u1ef1 b\u00e1o chu\u1ed7i th\u1eddi gian, v\u1edbi c\u00e1c \u1ee9ng d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau. Kh\u1ea3 n\u0103ng th\u00edch \u1ee9ng v\u1edbi c\u00e1c m\u00f4 h\u00ecnh thay \u0111\u1ed5i v\u00e0 t\u00ednh \u0111\u01a1n gi\u1ea3n trong tri\u1ec3n khai khi\u1ebfn n\u00f3 tr\u1edf th\u00e0nh m\u1ed9t c\u00f4ng c\u1ee5 c\u00f3 gi\u00e1 tr\u1ecb cho c\u1ea3 doanh nghi\u1ec7p v\u00e0 nh\u00e0 nghi\u00ean c\u1ee9u. Khi c\u00f4ng ngh\u1ec7 ti\u1ebfp t\u1ee5c ph\u00e1t tri\u1ec3n, vi\u1ec7c l\u00e0m m\u1ecbn theo c\u1ea5p s\u1ed1 nh\u00e2n d\u1ef1 ki\u1ebfn s\u1ebd c\u00f9ng t\u1ed3n t\u1ea1i v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt d\u1ef1 b\u00e1o ti\u00ean ti\u1ebfn h\u01a1n, \u0111\u00e1p \u1ee9ng c\u00e1c nhu c\u1ea7u d\u1ef1 b\u00e1o kh\u00e1c nhau trong t\u01b0\u01a1ng lai.<\/p>","protected":false},"featured_media":468360,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477156","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Exponential Smoothing: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What is exponential smoothing?","answer":"<p>Exponential smoothing is a statistical technique used in time series analysis and forecasting. It assigns decreasing weights to past data points, with recent observations receiving higher importance. This method adapts to changing trends and seasonality, making it valuable for predicting future values based on historical data.<\/p>"},{"question":"Who introduced exponential smoothing?","answer":"<p>Exponential smoothing was first introduced by Robert Goodell Brown in 1956 through his paper titled \"Exponential Smoothing for Predicting Demand.\"<\/p>"},{"question":"How does exponential smoothing work?","answer":"<p>Exponential smoothing uses a smoothing parameter (alpha) to calculate forecasted values. The formula for forecasting at time t+1 is F(t+1) = \u03b1 * D(t) + (1 - \u03b1) * F(t), where F(t+1) is the forecasted value at time t+1, D(t) is the actual value at time t, and F(t) is the forecasted value at time t.<\/p>"},{"question":"What are the main types of exponential smoothing?","answer":"<p>There are three main types of exponential smoothing:<\/p><ol><li>Simple Exponential Smoothing: Uses one smoothing parameter and is suitable for data without trends or seasonality.<\/li><li>Double Exponential Smoothing: Utilizes two smoothing parameters and is effective for data with a linear trend but no seasonality.<\/li><li>Triple Exponential Smoothing: Incorporates three smoothing parameters and is ideal for data with trends and seasonality.<\/li><\/ol>"},{"question":"Where is exponential smoothing used?","answer":"<p>Exponential smoothing finds applications in various fields, including demand forecasting, financial analysis, and resource planning.<\/p>"},{"question":"What are the challenges with using exponential smoothing?","answer":"<p>Exponential smoothing models can be sensitive to the choice of smoothing parameters and may struggle to handle outliers or sudden changes in the time series data.<\/p>"},{"question":"How can the performance of exponential smoothing be improved?","answer":"<p>The performance of exponential smoothing can be improved through careful parameter optimization and preprocessing techniques like outlier detection and data transformation.<\/p>"},{"question":"Is exponential smoothing a future-proof technique?","answer":"<p>While exponential smoothing is likely to remain relevant due to its simplicity and effectiveness, advancements in machine learning and AI may introduce more sophisticated forecasting techniques in the future.<\/p>"},{"question":"How are proxy servers associated with exponential smoothing?","answer":"<p>Proxy servers can be used to mask the user's identity and location, making them useful when dealing with time series data in scenarios where anonymity is essential.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/477156","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\/477156\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media\/468360"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=477156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}