{"id":477138,"date":"2023-08-09T09:08:09","date_gmt":"2023-08-09T09:08:09","guid":{"rendered":""},"modified":"2023-09-05T11:14:06","modified_gmt":"2023-09-05T11:14:06","slug":"evolutionary-computation","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/evolutionary-computation\/","title":{"rendered":"T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a"},"content":{"rendered":"<p>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a l\u00e0 m\u1ed9t thu\u1eadt ng\u1eef chung \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ec3u th\u1ecb m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 d\u1ef1a tr\u00ean c\u00e1c nguy\u00ean t\u1eafc ti\u1ebfn h\u00f3a sinh h\u1ecdc, ch\u1eb3ng h\u1ea1n nh\u01b0 ch\u1ecdn l\u1ecdc t\u1ef1 nhi\u00ean v\u00e0 di truy\u1ec1n. Nh\u1eefng k\u1ef9 thu\u1eadt n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 t\u1ed1i \u01b0u h\u00f3a, h\u1ecdc m\u00e1y v\u00e0 t\u00ecm ki\u1ebfm heuristic.<\/p>\n<h2>Ngu\u1ed3n g\u1ed1c v\u00e0 s\u1ef1 xu\u1ea5t hi\u1ec7n c\u1ee7a t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>Kh\u00e1i ni\u1ec7m t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a b\u1eaft ngu\u1ed3n t\u1eeb gi\u1eefa th\u1ebf k\u1ef7 20, c\u00f9ng th\u1eddi \u0111i\u1ec3m v\u1edbi s\u1ef1 ra \u0111\u1eddi c\u1ee7a m\u00e1y t\u00ednh hi\u1ec7n \u0111\u1ea1i. Nh\u1eefng ng\u01b0\u1eddi ti\u00ean phong ban \u0111\u1ea7u nh\u01b0 John Holland v\u00e0 Ingo Rechenberg \u0111\u00e3 b\u1eaft \u0111\u1ea7u th\u1eed nghi\u1ec7m c\u00e1c thu\u1eadt to\u00e1n d\u1ef1a tr\u00ean ti\u1ebfn h\u00f3a v\u00e0o nh\u1eefng n\u0103m 1960 v\u00e0 1970, m\u1edf \u0111\u01b0\u1eddng cho c\u00e1c ph\u01b0\u01a1ng ph\u00e1p ti\u1ebfp c\u1eadn hi\u1ec7n \u0111\u1ea1i. L\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u1ec1 c\u1eadp \u0111\u1ebfn n\u00f3 l\u00e0 v\u00e0o n\u0103m 1962 khi Lawrence J. Fogel ph\u00e1t tri\u1ec3n \u00fd t\u01b0\u1edfng s\u1eed d\u1ee5ng l\u1eadp tr\u00ecnh ti\u1ebfn h\u00f3a \u0111\u1ec3 thi\u1ebft k\u1ebf c\u00e1c m\u00e1y tr\u1ea1ng th\u00e1i h\u1eefu h\u1ea1n.<\/p>\n<h2>Kh\u00e1m ph\u00e1 t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a: Ph\u00e2n t\u00edch chuy\u00ean s\u00e2u<\/h2>\n<p>Tr\u1ecdng t\u00e2m c\u1ee7a t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a l\u00e0 nguy\u00ean t\u1eafc sinh t\u1ed3n c\u1ee7a k\u1ebb m\u1ea1nh nh\u1ea5t v\u00e0 c\u01a1 ch\u1ebf ch\u1ecdn l\u1ecdc t\u1ef1 nhi\u00ean c\u1ee7a Darwin. C\u00e1c thu\u1eadt to\u00e1n ti\u1ebfn h\u00f3a tu\u00e2n theo ph\u01b0\u01a1ng ph\u00e1p ng\u1eabu nhi\u00ean, d\u1ef1a tr\u00ean d\u00e2n s\u1ed1 v\u00e0 d\u1ef1a v\u00e0o c\u00e1c qu\u00e1 tr\u00ecnh t\u00e1i t\u1ed5 h\u1ee3p, \u0111\u1ed9t bi\u1ebfn, ch\u1ecdn l\u1ecdc v\u00e0 sinh t\u1ed3n \u0111\u1ec3 cung c\u1ea5p t\u00ecm ki\u1ebfm to\u00e0n c\u1ea7u trong kh\u00f4ng gian v\u1ea5n \u0111\u1ec1. N\u00f3 b\u1eaft \u0111\u1ea7u v\u1edbi m\u1ed9t qu\u1ea7n th\u1ec3 c\u00e1 th\u1ec3 ng\u1eabu nhi\u00ean v\u00e0 ph\u00e1t tri\u1ec3n n\u00f3 theo th\u1eddi gian th\u00f4ng qua qu\u00e1 tr\u00ecnh c\u1ea1nh tranh v\u00e0 bi\u1ebfn \u0111\u1ed5i c\u00f3 ki\u1ec3m so\u00e1t.<\/p>\n<p>C\u00e1c th\u00e0nh ph\u1ea7n ch\u00ednh c\u1ee7a thu\u1eadt to\u00e1n ti\u1ebfn h\u00f3a l\u00e0:<\/p>\n<ol>\n<li>D\u00e2n s\u1ed1: M\u1ed9t nh\u00f3m c\u00e1c gi\u1ea3i ph\u00e1p ti\u1ec1m n\u0103ng cho m\u1ed9t v\u1ea5n \u0111\u1ec1 nh\u1ea5t \u0111\u1ecbnh.<\/li>\n<li>Ch\u1ee9c n\u0103ng th\u00edch h\u1ee3p: M\u1ed9t ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 ch\u1ea5t l\u01b0\u1ee3ng ho\u1eb7c m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a t\u1eebng gi\u1ea3i ph\u00e1p trong d\u00e2n s\u1ed1.<\/li>\n<li>L\u1ef1a ch\u1ecdn: L\u00e0 qu\u00e1 tr\u00ecnh ch\u1ecdn l\u1ecdc nh\u1eefng c\u00e1 th\u1ec3 th\u00edch h\u1ee3p nh\u1ea5t \u0111\u1ec3 sinh s\u1ea3n.<\/li>\n<li>To\u00e1n t\u1eed bi\u1ebfn th\u1ec3: C\u01a1 ch\u1ebf t\u1ea1o ra c\u00e1c c\u00e1 th\u1ec3 m\u1edbi th\u00f4ng qua \u0111\u1ed9t bi\u1ebfn (s\u1eeda \u0111\u1ed5i ng\u1eabu nhi\u00ean) ho\u1eb7c t\u00e1i t\u1ed5 h\u1ee3p (pha tr\u1ed9n c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m c\u1ee7a hai b\u1ed1 m\u1eb9).<\/li>\n<\/ol>\n<h2>C\u01a1 ch\u1ebf b\u00ean trong: C\u00e1ch th\u1ee9c ho\u1ea1t \u0111\u1ed9ng c\u1ee7a t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c chia th\u00e0nh m\u1ed9t qu\u00e1 tr\u00ecnh tu\u1ea7n ho\u00e0n:<\/p>\n<ol>\n<li>Kh\u1edfi t\u1ea1o m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c gi\u1ea3i ph\u00e1p ti\u1ec1m n\u0103ng.<\/li>\n<li>\u0110\u00e1nh gi\u00e1 m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p c\u1ee7a t\u1eebng gi\u1ea3i ph\u00e1p trong t\u1ed5ng th\u1ec3 b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng h\u00e0m th\u00edch \u1ee9ng.<\/li>\n<li>Ch\u1ecdn b\u1ed1 m\u1eb9 d\u1ef1a tr\u00ean m\u1ee9c \u0111\u1ed9 ph\u00f9 h\u1ee3p (kh\u1ea3 n\u0103ng ph\u00f9 h\u1ee3p t\u1ed1t h\u01a1n = c\u01a1 h\u1ed9i l\u1ef1a ch\u1ecdn cao h\u01a1n).<\/li>\n<li>T\u1ea1o ra con c\u00e1i t\u1eeb b\u1ed1 m\u1eb9 b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng c\u00e1c to\u00e1n t\u1eed bi\u1ebfn th\u1ec3 (t\u00e1i t\u1ed5 h\u1ee3p v\u00e0\/ho\u1eb7c \u0111\u1ed9t bi\u1ebfn).<\/li>\n<li>\u0110\u00e1nh gi\u00e1 s\u1ee9c kh\u1ecfe c\u1ee7a con c\u00e1i.<\/li>\n<li>Ch\u1ecdn c\u00e1c c\u00e1 th\u1ec3 cho th\u1ebf h\u1ec7 ti\u1ebfp theo t\u1eeb qu\u1ea7n th\u1ec3 hi\u1ec7n t\u1ea1i v\u00e0 con c\u00e1i.<\/li>\n<li>L\u1eb7p l\u1ea1i c\u00e1c b\u01b0\u1edbc 3-6 cho \u0111\u1ebfn khi \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec1u ki\u1ec7n d\u1eebng (v\u00ed d\u1ee5: s\u1ed1 th\u1ebf h\u1ec7 t\u1ed1i \u0111a, \u0111\u1ea1t \u0111\u01b0\u1ee3c m\u1ee9c \u0111\u1ed9 th\u00edch h\u1ee3p th\u1ecfa \u0111\u00e1ng).<\/li>\n<\/ol>\n<h2>C\u00e1c t\u00ednh n\u0103ng ch\u00ednh c\u1ee7a t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a \u0111\u01b0\u1ee3c \u0111\u1eb7c tr\u01b0ng b\u1edfi m\u1ed9t s\u1ed1 t\u00ednh n\u0103ng ch\u00ednh:<\/p>\n<ol>\n<li>D\u1ef1a tr\u00ean d\u00e2n s\u1ed1: N\u00f3 ho\u1ea1t \u0111\u1ed9ng tr\u00ean m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c gi\u1ea3i ph\u00e1p, do \u0111\u00f3 cung c\u1ea5p nhi\u1ec1u n\u1ed7 l\u1ef1c \u0111\u1ec3 t\u00ecm ra gi\u1ea3i ph\u00e1p t\u1ed1i \u01b0u.<\/li>\n<li>Stochastic: N\u00f3 k\u1ebft h\u1ee3p t\u00ednh ng\u1eabu nhi\u00ean, c\u00f3 th\u1ec3 gi\u00fap ng\u0103n ch\u1eb7n s\u1ef1 h\u1ed9i t\u1ee5 s\u1edbm \u0111\u1ebfn m\u1ee9c t\u1ed1i \u01b0u c\u1ee5c b\u1ed9.<\/li>\n<li>Song song: N\u00f3 m\u00f4 ph\u1ecfng song song nhi\u1ec1u gi\u1ea3i ph\u00e1p, \u0111i\u1ec1u n\u00e0y l\u00e0m cho n\u00f3 ph\u00f9 h\u1ee3p v\u1edbi c\u00e1c h\u1ec7 th\u1ed1ng t\u00ednh to\u00e1n song song.<\/li>\n<li>Th\u00edch \u1ee9ng: N\u00f3 c\u00f3 th\u1ec3 th\u00edch \u1ee9ng v\u1edbi nh\u1eefng m\u00f4i tr\u01b0\u1eddng thay \u0111\u1ed5i, khi\u1ebfn n\u00f3 tr\u1edf n\u00ean l\u00fd t\u01b0\u1edfng cho c\u00e1c v\u1ea5n \u0111\u1ec1 \u0111\u1ed9ng.<\/li>\n<li>T\u1ed1i \u01b0u h\u00f3a to\u00e0n c\u1ee5c: N\u00f3 \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf \u0111\u1ec3 t\u00ecm ra m\u1ee9c t\u1ed1i \u01b0u to\u00e0n c\u1ee5c trong m\u1ed9t kh\u00f4ng gian t\u00ecm ki\u1ebfm r\u1ed9ng l\u1edbn v\u00e0 ph\u1ee9c t\u1ea1p.<\/li>\n<\/ol>\n<h2>C\u00e1c lo\u1ea1i t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i th\u00e0nh b\u1ed1n lo\u1ea1i:<\/p>\n<ol>\n<li>\n<p>Thu\u1eadt to\u00e1n di truy\u1ec1n (GA): Ch\u00fang d\u1ef1a tr\u00ean c\u00e1c kh\u00e1i ni\u1ec7m v\u1ec1 di truy\u1ec1n v\u00e0 ch\u1ecdn l\u1ecdc t\u1ef1 nhi\u00ean. H\u1ecd s\u1eed d\u1ee5ng c\u00e1c to\u00e1n t\u1eed nh\u01b0 \u0111\u1ed9t bi\u1ebfn, lai gh\u00e9p (t\u00e1i t\u1ed5 h\u1ee3p) v\u00e0 ch\u1ecdn l\u1ecdc.<\/p>\n<\/li>\n<li>\n<p>L\u1eadp tr\u00ecnh ti\u1ebfn h\u00f3a (EP): K\u1ef9 thu\u1eadt n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong c\u00e1c v\u1ea5n \u0111\u1ec1 v\u1ec1 h\u1ecdc m\u00e1y v\u00e0 tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o, t\u1eadp trung v\u00e0o s\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a c\u1ea5u tr\u00fac ch\u01b0\u01a1ng tr\u00ecnh.<\/p>\n<\/li>\n<li>\n<p>L\u1eadp tr\u00ecnh di truy\u1ec1n (GP): \u0110i\u1ec1u n\u00e0y m\u1edf r\u1ed9ng \u00fd t\u01b0\u1edfng v\u1ec1 thu\u1eadt to\u00e1n di truy\u1ec1n b\u1eb1ng c\u00e1ch ph\u00e1t tri\u1ec3n c\u00e1c ch\u01b0\u01a1ng tr\u00ecnh m\u00e1y t\u00ednh, \u0111i\u1ec3n h\u00ecnh l\u00e0 c\u00e1c c\u1ea5u tr\u00fac \u0111\u1ed3 th\u1ecb d\u1ea1ng c\u00e2y.<\/p>\n<\/li>\n<li>\n<p>Chi\u1ebfn l\u01b0\u1ee3c ti\u1ebfn h\u00f3a (ES): Chi\u1ebfn l\u01b0\u1ee3c n\u00e0y \u0111\u01b0\u1ee3c ph\u00e1t tri\u1ec3n \u1edf \u0110\u1ee9c v\u00e0 nh\u1ea5n m\u1ea1nh \u0111\u1ebfn kh\u1ea3 n\u0103ng t\u1ef1 th\u00edch \u1ee9ng, trong \u0111\u00f3 b\u1ea3n th\u00e2n c\u00e1c tham s\u1ed1 chi\u1ebfn l\u01b0\u1ee3c c\u00f3 th\u1ec3 ti\u1ebfn h\u00f3a.<\/p>\n<\/li>\n<\/ol>\n<table>\n<thead>\n<tr>\n<th>Ki\u1ec3u<\/th>\n<th>T\u00ednh n\u0103ng ch\u00ednh<\/th>\n<th>Khu v\u1ef1c \u1ee9ng d\u1ee5ng<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Thu\u1eadt to\u00e1n di truy\u1ec1n<\/td>\n<td>Ho\u1ea1t \u0111\u1ed9ng di truy\u1ec1n<\/td>\n<td>V\u1ea5n \u0111\u1ec1 t\u1ed1i \u01b0u h\u00f3a<\/td>\n<\/tr>\n<tr>\n<td>L\u1eadp tr\u00ecnh ti\u1ebfn h\u00f3a<\/td>\n<td>S\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a c\u1ea5u tr\u00fac ch\u01b0\u01a1ng tr\u00ecnh<\/td>\n<td>H\u1ecdc m\u00e1y, AI<\/td>\n<\/tr>\n<tr>\n<td>L\u1eadp tr\u00ecnh di truy\u1ec1n<\/td>\n<td>Ch\u01b0\u01a1ng tr\u00ecnh m\u00e1y t\u00ednh \u0111ang ph\u00e1t tri\u1ec3n<\/td>\n<td>H\u1ed3i quy t\u01b0\u1ee3ng tr\u01b0ng, H\u1ecdc m\u00e1y<\/td>\n<\/tr>\n<tr>\n<td>Chi\u1ebfn l\u01b0\u1ee3c ti\u1ebfn h\u00f3a<\/td>\n<td>T\u1ef1 th\u00edch \u1ee9ng<\/td>\n<td>T\u1ed1i \u01b0u h\u00f3a tham s\u1ed1 th\u1ef1c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u1ee8ng d\u1ee5ng, th\u00e1ch th\u1ee9c v\u00e0 gi\u1ea3i ph\u00e1p trong t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau, ch\u1eb3ng h\u1ea1n nh\u01b0 tin sinh h\u1ecdc, thi\u1ebft k\u1ebf k\u1ef9 thu\u1eadt, ch\u01a1i tr\u00f2 ch\u01a1i v\u00e0 robot. Tuy nhi\u00ean, ch\u00fang c\u00f3 m\u1ed9t s\u1ed1 th\u00e1ch th\u1ee9c, ch\u1eb3ng h\u1ea1n nh\u01b0 s\u1ef1 h\u1ed9i t\u1ee5 s\u1edbm \u0111\u1ebfn \u0111i\u1ec3m t\u1ed1i \u01b0u c\u1ee5c b\u1ed9, vi\u1ec7c l\u1ef1a ch\u1ecdn tham s\u1ed1 ph\u00f9 h\u1ee3p v\u00e0 h\u1ea1n ch\u1ebf v\u1ec1 chi\u1ec1u trong c\u00e1c b\u00e0i to\u00e1n nhi\u1ec1u chi\u1ec1u. C\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u \u0111ang li\u00ean t\u1ee5c n\u1ed7 l\u1ef1c ph\u00e1t tri\u1ec3n c\u00e1c thu\u1eadt to\u00e1n m\u1edbi v\u00e0 \u0111i\u1ec1u ch\u1ec9nh c\u00e1c thu\u1eadt to\u00e1n hi\u1ec7n c\u00f3 \u0111\u1ec3 v\u01b0\u1ee3t qua nh\u1eefng th\u00e1ch th\u1ee9c n\u00e0y.<\/p>\n<h2>Ph\u00e2n t\u00edch so s\u00e1nh v\u1edbi c\u00e1c thu\u1eadt ng\u1eef t\u01b0\u01a1ng t\u1ef1<\/h2>\n<p>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a th\u01b0\u1eddng b\u1ecb nh\u1ea7m l\u1eabn v\u1edbi c\u00e1c k\u1ef9 thu\u1eadt Th\u00f4ng minh b\u1ea7y \u0111\u00e0n, ch\u1eb3ng h\u1ea1n nh\u01b0 T\u1ed1i \u01b0u h\u00f3a \u0111\u00e0n ki\u1ebfn (PSO) v\u00e0 T\u1ed1i \u01b0u h\u00f3a \u0111\u00e0n ki\u1ebfn (ACO). M\u1eb7c d\u00f9 c\u1ea3 hai \u0111\u1ec1u l\u1ea5y c\u1ea3m h\u1ee9ng t\u1eeb thi\u00ean nhi\u00ean v\u00e0 nh\u1eb1m m\u1ee5c \u0111\u00edch gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 t\u1ed1i \u01b0u h\u00f3a, nh\u01b0ng ch\u00fang kh\u00e1c nhau trong c\u00e1ch ti\u1ebfp c\u1eadn. T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a d\u1ef1a tr\u00ean ti\u1ebfn h\u00f3a sinh h\u1ecdc, trong khi Tr\u00ed tu\u1ec7 b\u1ea7y \u0111\u00e0n d\u1ef1a tr\u00ean h\u00e0nh vi t\u1eadp th\u1ec3 c\u1ee7a c\u00e1c h\u1ec7 th\u1ed1ng phi t\u1eadp trung, t\u1ef1 t\u1ed5 ch\u1ee9c.<\/p>\n<table>\n<thead>\n<tr>\n<th>K\u1ef9 thu\u1eadt<\/th>\n<th>N\u1ec1n t\u1ea3ng<\/th>\n<th>T\u00ednh n\u0103ng ch\u00ednh<\/th>\n<th>Khu v\u1ef1c \u1ee9ng d\u1ee5ng<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/td>\n<td>Ti\u1ebfn h\u00f3a sinh h\u1ecdc<\/td>\n<td>Ho\u1ea1t \u0111\u1ed9ng di truy\u1ec1n, S\u1ef1 s\u1ed1ng c\u00f2n c\u1ee7a k\u1ebb m\u1ea1nh nh\u1ea5t<\/td>\n<td>T\u1ed1i \u01b0u h\u00f3a, H\u1ecdc m\u00e1y, AI<\/td>\n<\/tr>\n<tr>\n<td>Tri tu\u00ea\u0323 b\u00e2y \u0110an<\/td>\n<td>H\u00e0nh vi t\u1eadp th\u1ec3 c\u1ee7a c\u00e1c h\u1ec7 th\u1ed1ng phi t\u1eadp trung<\/td>\n<td>H\u00e0nh vi t\u1eadp th\u1ec3 m\u00f4 ph\u1ecfng<\/td>\n<td>T\u1ed1i \u01b0u h\u00f3a, \u0110\u1ecbnh tuy\u1ebfn m\u1ea1ng<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Vi\u1ec5n c\u1ea3nh t\u01b0\u01a1ng lai: T\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>Khi c\u00f4ng ngh\u1ec7 \u0111i\u1ec7n to\u00e1n ti\u1ebfn b\u1ed9, ch\u00fang ta c\u00f3 th\u1ec3 mong \u0111\u1ee3i \u0111i\u1ec7n to\u00e1n ti\u1ebfn h\u00f3a s\u1ebd t\u00ecm ra c\u00e1c \u1ee9ng d\u1ee5ng m\u1edbi trong c\u00e1c l\u0129nh v\u1ef1c nh\u01b0 ph\u00e2n t\u00edch d\u1eef li\u1ec7u l\u1edbn, h\u1ecdc s\u00e2u, \u0111i\u1ec7n to\u00e1n l\u01b0\u1ee3ng t\u1eed, v.v. S\u1ef1 giao thoa gi\u1eefa t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a v\u00e0 tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o c\u00f3 kh\u1ea3 n\u0103ng t\u1ea1o ra c\u00e1c thu\u1eadt to\u00e1n v\u00e0 h\u1ec7 th\u1ed1ng tinh vi, th\u00edch \u1ee9ng v\u00e0 hi\u1ec7u qu\u1ea3.<\/p>\n<h2>M\u00e1y ch\u1ee7 proxy v\u00e0 t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a<\/h2>\n<p>M\u00e1y ch\u1ee7 proxy c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c h\u01b0\u1edfng l\u1ee3i t\u1eeb t\u00ednh to\u00e1n ti\u1ebfn h\u00f3a. V\u00ed d\u1ee5: trong vi\u1ec7c c\u00e2n b\u1eb1ng t\u1ea3i tr\u00ean nhi\u1ec1u m\u00e1y ch\u1ee7, m\u1ed9t thu\u1eadt to\u00e1n ti\u1ebfn h\u00f3a c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u1ed1i \u01b0u h\u00f3a vi\u1ec7c ph\u00e2n ph\u1ed1i l\u01b0u l\u01b0\u1ee3ng m\u1ea1ng. \u0110i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 gi\u00fap gi\u1ea3m \u0111\u1ed9 tr\u1ec5, tr\u00e1nh t\u00ecnh tr\u1ea1ng qu\u00e1 t\u1ea3i m\u00e1y ch\u1ee7 v\u00e0 c\u1ea3i thi\u1ec7n hi\u1ec7u su\u1ea5t m\u1ea1ng t\u1ed5ng th\u1ec3.<\/p>\n<h2>Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n<ol>\n<li><a href=\"http:\/\/www.gp-field-guide.org.uk\/\" target=\"_new\" rel=\"noopener nofollow\">H\u01b0\u1edbng d\u1eabn th\u1ef1c \u0111\u1ecba v\u1ec1 l\u1eadp tr\u00ecnh di truy\u1ec1n<\/a><\/li>\n<li><a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-662-44874-8\" target=\"_new\" rel=\"noopener nofollow\">Gi\u1edbi thi\u1ec7u v\u1ec1 \u0111i\u1ec7n to\u00e1n ti\u1ebfn h\u00f3a<\/a><\/li>\n<li><a href=\"https:\/\/www.pearson.com\/us\/higher-education\/program\/Goldberg-Genetic-Algorithms-in-Search-Optimization-and-Machine-Learning\/PGM219334.html\" target=\"_new\" rel=\"noopener nofollow\">Gi\u1ea3i thu\u1eadt di truy\u1ec1n trong t\u00ecm ki\u1ebfm, t\u1ed1i \u01b0u h\u00f3a, v\u00e0 h\u1ecdc m\u00e1y<\/a><\/li>\n<\/ol>\n<p>Kh\u00e1m ph\u00e1 nh\u1eefng t\u00e0i nguy\u00ean n\u00e0y \u0111\u1ec3 t\u00ecm hi\u1ec3u s\u00e2u h\u01a1n v\u1ec1 th\u1ebf gi\u1edbi h\u1ea5p d\u1eabn c\u1ee7a T\u00ednh to\u00e1n Ti\u1ebfn h\u00f3a.<\/p>","protected":false},"featured_media":477139,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477138","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Evolutionary Computation: An Essential Approach to Optimization Problems<\/mark>","faq_items":[{"question":"What is Evolutionary Computation?","answer":"<p>Evolutionary Computation is a problem-solving methodology that's based on the principles of biological evolution, such as natural selection and genetic inheritance. It's primarily used in solving optimization problems, machine learning, and heuristic search.<\/p>"},{"question":"When was the concept of Evolutionary Computation first introduced?","answer":"<p>The concept of Evolutionary Computation emerged in the mid-20th century, around the same time as the advent of modern computers. Lawrence J. Fogel developed the idea of using evolutionary programming to design finite state machines in 1962, marking the first known mention of it.<\/p>"},{"question":"How does Evolutionary Computation work?","answer":"<p>Evolutionary Computation works by simulating the process of natural evolution. It begins with a population of potential solutions, evaluates their fitness, selects the fittest ones for reproduction, and creates new individuals through mutation or recombination. This process repeats until a stopping condition, such as reaching a satisfactory fitness level or a maximum number of generations, is met.<\/p>"},{"question":"What are the key features of Evolutionary Computation?","answer":"<p>The key features of Evolutionary Computation include its population-based approach, stochastic nature, suitability for parallel computation, adaptability to changing environments, and ability to find the global optimum in a large, complex search space.<\/p>"},{"question":"What types of Evolutionary Computation exist?","answer":"<p>There are four main types of Evolutionary Computation: Genetic Algorithms, Evolutionary Programming, Genetic Programming, and Evolution Strategies. Each of these types has its own features and areas of application, ranging from optimization problems to machine learning and artificial intelligence.<\/p>"},{"question":"What are some applications and challenges of Evolutionary Computation?","answer":"<p>Evolutionary Computation is used in various fields such as bioinformatics, engineering design, game playing, and robotics. However, it does face some challenges, including the premature convergence to local optima, the need for careful selection of parameters, and the difficulty of solving high-dimensional problems.<\/p>"},{"question":"How does Evolutionary Computation compare to Swarm Intelligence techniques?","answer":"<p>While both Evolutionary Computation and Swarm Intelligence techniques are nature-inspired and aim to solve optimization problems, they differ in their approaches. Evolutionary Computation is based on biological evolution, while Swarm Intelligence is based on the collective behavior of decentralized, self-organized systems.<\/p>"},{"question":"How are proxy servers related to Evolutionary Computation?","answer":"<p>Proxy servers can benefit from Evolutionary Computation. For example, in load balancing across multiple servers, an evolutionary algorithm can optimize the distribution of network traffic. This can reduce latency, avoid server overload, and improve overall network performance.<\/p>"},{"question":"What are the future perspectives of Evolutionary Computation?","answer":"<p>With advances in computation technology, Evolutionary Computation is expected to find new applications in areas like big data analysis, deep learning, quantum computing, and more. The intersection of evolutionary computation and artificial intelligence is likely to produce more sophisticated, adaptive, and efficient algorithms and systems.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/477138","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\/477138\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media\/477139"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=477138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}