{"id":698581,"date":"2024-10-30T17:39:31","date_gmt":"2024-10-30T16:39:31","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=698581"},"modified":"2024-10-30T17:39:31","modified_gmt":"2024-10-30T16:39:31","slug":"thong-tin-va-ma-hoa-hieu-ve-entropy","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/vi\/thong-tin-va-ma-hoa-hieu-ve-entropy\/","title":{"rendered":"Th\u00f4ng tin v\u00e0 m\u00e3 h\u00f3a: Hi\u1ec3u v\u1ec1 entropy"},"content":{"rendered":"<p class=\"sidekick\">Entropy trong th\u00f4ng tin v\u00e0 m\u00e3 h\u00f3a: Hi\u1ec3u v\u1ec1 kh\u00e1i ni\u1ec7m entropy v\u00e0 vai tr\u00f2 c\u1ee7a n\u00f3 trong vi\u1ec7c t\u1ed1i \u01b0u h\u00f3a vi\u1ec7c truy\u1ec1n t\u1ea3i v\u00e0 b\u1ea3o m\u1eadt th\u00f4ng tin.<\/p>\n<p><img src=\"https:\/\/www.thermal-engineering.org\/wp-content\/uploads\/2024\/07\/thong_tin_va_ma_hoa_hieu_ve_entropy.png\" alt=\"Th\u00f4ng tin v\u00e0 m\u00e3 h\u00f3a: Hi\u1ec3u v\u1ec1 entropy\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n<h2>Th\u00f4ng tin v\u00e0 M\u00e3 h\u00f3a: Hi\u1ec3u v\u1ec1 Entropy<\/h2>\n<p>Entropy l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m quan tr\u1ecdng trong nhi\u1ec7t \u0111\u1ed9ng l\u1ef1c h\u1ecdc, nh\u01b0ng n\u00f3 c\u0169ng \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng trong l\u00fd thuy\u1ebft th\u00f4ng tin v\u00e0 m\u00e3 h\u00f3a. Trong ng\u1eef c\u1ea3nh n\u00e0y, entropy gi\u00fap ch\u00fang ta hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 m\u1ee9c \u0111\u1ed9 kh\u00f4ng ch\u1eafc ch\u1eafn hay ng\u1eabu nhi\u00ean c\u1ee7a m\u1ed9t h\u1ec7 th\u1ed1ng th\u00f4ng tin.<\/p>\n<h2>Entropy trong L\u00fd Thuy\u1ebft Th\u00f4ng Tin<\/h2>\n<p>Trong l\u00fd thuy\u1ebft th\u00f4ng tin, entropy \u0111o l\u01b0\u1ee3ng th\u00f4ng tin trung b\u00ecnh m\u00e0 m\u1ed9t th\u00f4ng \u0111i\u1ec7p ch\u1ee9a \u0111\u1ef1ng. C\u00f4ng th\u1ee9c t\u00ednh entropy c\u1ee7a m\u1ed9t bi\u1ebfn ng\u1eabu nhi\u00ean X v\u1edbi c\u00e1c x\u00e1c su\u1ea5t p<sub>1<\/sub>, p<sub>2<\/sub>, &#8230;, p<sub>n<\/sub> \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n nh\u01b0 sau:<\/p>\n<p>H(X) = &#8211; \u03a3 p<sub>i<\/sub> * log<sub>2<\/sub>(p<sub>i<\/sub>),<\/p>\n<p>trong \u0111\u00f3 H(X) l\u00e0 entropy c\u1ee7a bi\u1ebfn X v\u00e0 log<sub>2<\/sub> l\u00e0 logarithm c\u01a1 s\u1ed1 2. Khi bi\u1ebfn ng\u1eabu nhi\u00ean X c\u00e0ng \u0111a d\u1ea1ng v\u00e0 c\u00e1c x\u00e1c su\u1ea5t p<sub>i<\/sub> c\u00e0ng \u0111\u1ec1u nhau, entropy c\u00e0ng l\u1edbn.<\/p>\n<h3>V\u00ed d\u1ee5 v\u1ec1 Entropy Th\u00f4ng Tin<\/h3>\n<ul>\n<li>N\u1ebfu m\u1ed9t bi\u1ebfn ng\u1eabu nhi\u00ean c\u00f3 x\u00e1c su\u1ea5t x\u1ea3y ra ho\u00e0n to\u00e0n ph\u00e2n b\u1ed1 \u0111\u1ec1u, v\u00ed d\u1ee5 nh\u01b0 gieo m\u1ed9t \u0111\u1ed3ng xu (p=0.5 cho c\u1ea3 hai m\u1eb7t), alors entropy t\u1ed1i \u0111a \u0111\u1ea1t \u0111\u01b0\u1ee3c.<\/li>\n<li>N\u1ebfu m\u1ed9t th\u00f4ng tin r\u1ea5t d\u1ec5 d\u1ef1 \u0111o\u00e1n (v\u00ed d\u1ee5 nh\u01b0 t\u1ea5t c\u1ea3 c\u00e1c k\u00fd t\u1ef1 trong m\u1ed9t chu\u1ed7i \u0111\u1ec1u gi\u1ed1ng nhau), th\u00ec entropy c\u1ee7a h\u1ec7 th\u1ed1ng r\u1ea5t th\u1ea5p.<\/li>\n<\/ul>\n<h2>Entropy trong M\u00e3 h\u00f3a<\/h2>\n<p>Trong l\u0129nh v\u1ef1c m\u00e3 h\u00f3a, entropy gi\u00fap x\u00e1c \u0111\u1ecbnh hi\u1ec7u qu\u1ea3 c\u1ee7a m\u1ed9t m\u00e3. M\u1ee5c ti\u00eau l\u00e0 thi\u1ebft k\u1ebf c\u00e1c m\u00e3 sao cho l\u01b0\u1ee3ng bit trung b\u00ecnh \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111\u1ea1i di\u1ec7n cho m\u1ed7i k\u00fd t\u1ef1 trong th\u00f4ng \u0111i\u1ec7p g\u1ea7n b\u1eb1ng v\u1edbi entropy c\u1ee7a ngu\u1ed3n th\u00f4ng tin.<\/p>\n<h3>\u1ee8ng d\u1ee5ng c\u1ee7a Entropy trong M\u00e3 h\u00f3a<\/h3>\n<ul>\n<li><strong>M\u00e3 Huffman:<\/strong> S\u1eed d\u1ee5ng entropy \u0111\u1ec3 t\u1ea1o m\u00e3 hi\u1ec7u qu\u1ea3, v\u1edbi c\u00e1c k\u00fd t\u1ef1 ph\u1ed5 bi\u1ebfn h\u01a1n c\u00f3 m\u00e3 ng\u1eafn h\u01a1n v\u00e0 c\u00e1c k\u00fd t\u1ef1 \u00edt ph\u1ed5 bi\u1ebfn h\u01a1n c\u00f3 m\u00e3 d\u00e0i h\u01a1n \u0111\u1ec3 gi\u1ea3m thi\u1ec3u t\u1ed5ng s\u1ed1 bit.<\/li>\n<li><strong>M\u00e3 Shannon-Fano:<\/strong> D\u1ef1a tr\u00ean entropy t\u01b0\u01a1ng t\u1ef1 nh\u01b0 m\u00e3 Huffman nh\u01b0ng s\u1eafp x\u1ebfp c\u00e1c k\u00fd t\u1ef1 theo x\u00e1c su\u1ea5t gi\u1ea3m d\u1ea7n v\u00e0 chia \u0111\u00f4i t\u1eadp h\u1ee3p n\u00e0y \u0111\u1ec3 t\u1ea1o m\u00e3.<\/li>\n<\/ul>\n<h2>K\u1ebft Lu\u1eadn<\/h2>\n<p>Entropy l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m \u0111a d\u1ea1ng v\u00e0 quan tr\u1ecdng trong c\u1ea3 nhi\u1ec7t \u0111\u1ed9ng l\u1ef1c h\u1ecdc v\u00e0 l\u00fd thuy\u1ebft th\u00f4ng tin. Hi\u1ec3u v\u1ec1 entropy kh\u00f4ng ch\u1ec9 gi\u00fap ch\u00fang ta n\u1eafm b\u1eaft c\u00e1ch th\u00f4ng tin \u0111\u01b0\u1ee3c truy\u1ec1n t\u1ea3i v\u00e0 l\u01b0u tr\u1eef m\u00e0 c\u00f2n gi\u00fap t\u1ed1i \u01b0u h\u00f3a qu\u00e1 tr\u00ecnh m\u00e3 h\u00f3a, \u0111\u1ea3m b\u1ea3o th\u00f4ng tin \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3 nh\u1ea5t. Nh\u1edd \u0111\u00f3, c\u00e1c h\u1ec7 th\u1ed1ng th\u00f4ng tin v\u00e0 truy\u1ec1n th\u00f4ng ng\u00e0y c\u00e0ng tr\u1edf n\u00ean hi\u1ec7u qu\u1ea3 v\u00e0 \u0111\u00e1ng tin c\u1eady h\u01a1n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Entropy trong th\u00f4ng tin v\u00e0 m\u00e3 h\u00f3a: Hi\u1ec3u v\u1ec1 kh\u00e1i ni\u1ec7m entropy v\u00e0 vai tr\u00f2 c\u1ee7a n\u00f3 trong vi\u1ec7c t\u1ed1i \u01b0u h\u00f3a vi\u1ec7c truy\u1ec1n t\u1ea3i v\u00e0 b\u1ea3o m\u1eadt th\u00f4ng tin.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[132],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Th\u00f4ng tin v\u00e0 m\u00e3 h\u00f3a: Hi\u1ec3u v\u1ec1 entropy<\/title>\n<meta name=\"description\" content=\"Entropy trong th\u00f4ng tin v\u00e0 m\u00e3 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