{"id":13028,"date":"2025-01-19T22:40:19","date_gmt":"2025-01-19T15:40:19","guid":{"rendered":"https:\/\/cntt.ntt.edu.vn\/news-event\/ai-va-toan-toan-gi-se-dung-trong-ai\/"},"modified":"2025-01-19T22:40:19","modified_gmt":"2025-01-19T15:40:19","slug":"ai-va-toan-toan-gi-se-dung-trong-ai","status":"publish","type":"post","link":"https:\/\/cntt.ntt.edu.vn\/en\/tin-tuc\/ai-va-toan-toan-gi-se-dung-trong-ai\/","title":{"rendered":"AI V\u00c0 TO\u00c1N \u2013 TO\u00c1N G\u00cc S\u1ebc D\u00d9NG TRONG AI?"},"content":{"rendered":"

AI c\u00f3 \u1ee9ng d\u1ee5ng r\u1ea5t r\u1ed9ng trong nhi\u1ec1u l\u0129nh v\u1ef1c, bao g\u1ed3m c\u00f4ng nghi\u1ec7p, y t\u1ebf, t\u00e0i ch\u00ednh, giao th\u00f4ng v\u1eadn t\u1ea3i, truy\u1ec1n th\u00f4ng, v\u00e0 nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c.<\/strong><\/b><\/p>\n

Ng\u00e0y \u0111\u0103ng: 18\/09\/2023<\/p>\n

S\u01a1 l\u01b0\u1ee3c v\u1ec1 AI?<\/strong><\/b><\/p>\n

“AI” l\u00e0 vi\u1ebft t\u1eaft c\u1ee7a “Tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o” (Artificial Intelligence).\u00a0\u0110\u00e2y l\u00e0 m\u1ed9t l\u0129nh v\u1ef1c trong khoa h\u1ecdc m\u00e1y t\u00ednh v\u00e0 c\u00f4ng ngh\u1ec7 th\u00f4ng tin t\u1eadp trung v\u00e0o vi\u1ec7c t\u1ea1o ra c\u00e1c h\u1ec7 th\u1ed1ng m\u00e1y t\u00ednh ho\u1eb7c ch\u01b0\u01a1ng tr\u00ecnh c\u00f3 kh\u1ea3 n\u0103ng th\u1ef1c hi\u1ec7n c\u00e1c nhi\u1ec7m v\u1ee5 th\u01b0\u1eddng \u0111\u00f2i h\u1ecfi s\u1ef1 th\u00f4ng minh nh\u01b0 h\u1ecdc h\u1ecfi,\u00a0t\u01b0 duy, quy\u1ebft \u0111\u1ecbnh v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 gi\u1ed1ng nh\u01b0 con ng\u01b0\u1eddi.<\/p>\n

\"\"<\/p>\n

Danh s\u00e1ch m\u1ed9t s\u1ed1 ch\u1ee7 \u0111\u1ec1 to\u00e1n h\u1ecdc c\u1ea5p cao m\u00e0 b\u1ea1n c\u1ea7n h\u1ecdc v\u00e0 s\u1eed d\u1ee5ng trong AI: [The list of advanced mathematics topics relevant to AI into English:]\n– X\u00e1c su\u1ea5t v\u00e0 Th\u1ed1ng k\u00ea: X\u00e1c su\u1ea5t v\u00e0 th\u1ed1ng k\u00ea \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng trong h\u1ecdc m\u00e1y v\u00e0 c\u00e1c thu\u1eadt to\u00e1n AI kh\u00e1c. C\u00e1c kh\u00e1i ni\u1ec7m nh\u01b0 ph\u00e2n ph\u1ed1i x\u00e1c su\u1ea5t, k\u1ef3 v\u1ecdng, bi\u1ebfn ng\u1eabu nhi\u00ean, v\u00e0 h\u1ed3i quy th\u1ed1ng k\u00ea r\u1ea5t quan tr\u1ecdng trong vi\u1ec7c hi\u1ec3u v\u00e0 x\u00e2y d\u1ef1ng c\u00e1c m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n.
\n[Probability and Statistics: Probability and statistics play a crucial role in machine learning and other AI algorithms. Concepts such as probability distributions, expectation, random variables, and statistical regression are vital for understanding and building predictive models.]\n– \u0110\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh: \u0110\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh l\u00e0 c\u01a1 s\u1edf cho nhi\u1ec1u thu\u1eadt to\u00e1n h\u1ecdc m\u00e1y, bao g\u1ed3m c\u1ea3 m\u1ea1ng n\u01a1-ron. Ma tr\u1eadn, vector, kh\u00f4ng gian vector, v\u00e0 c\u00e1c ph\u00e9p bi\u1ebfn \u0111\u1ed5i tuy\u1ebfn t\u00ednh l\u00e0 nh\u1eefng kh\u00e1i ni\u1ec7m quan tr\u1ecdng.
\n[Linear Algebra: Linear algebra serves as the foundation for many machine learning algorithms, including neural networks. Matrices, vectors, vector spaces, and linear transformations are important concepts.]\n– T\u1ed1i \u01b0u h\u00f3a: Thu\u1eadt to\u00e1n t\u1ed1i \u01b0u h\u00f3a gi\u00fap t\u00ecm ki\u1ebfm gi\u1ea3i ph\u00e1p t\u1ed1t nh\u1ea5t cho c\u00e1c b\u00e0i to\u00e1n nh\u01b0 t\u1ed1i \u01b0u h\u00f3a h\u00e0m m\u1ee5c ti\u00eau. \u0110i\u1ec1u n\u00e0y quan tr\u1ecdng trong vi\u1ec7c \u0111i\u1ec1u ch\u1ec9nh tham s\u1ed1 c\u1ee7a c\u00e1c m\u00f4 h\u00ecnh h\u1ecdc m\u00e1y.
\n[Optimization: Optimization algorithms help find the best solutions for problems like optimizing objective functions. This is essential for parameter tuning in machine learning models.]\n– L\u00fd thuy\u1ebft th\u00f4ng tin: L\u00fd thuy\u1ebft th\u00f4ng tin li\u00ean quan \u0111\u1ebfn kh\u00e1i ni\u1ec7m entropy, KL-divergence, v\u00e0 c\u00e1c kh\u00e1i ni\u1ec7m li\u00ean quan kh\u00e1c, cung c\u1ea5p c\u01a1 s\u1edf cho vi\u1ec7c hi\u1ec3u v\u1ec1 c\u00e1ch th\u00f4ng tin \u0111\u01b0\u1ee3c \u0111o l\u01b0\u1eddng v\u00e0 x\u1eed l\u00fd.
\n[Information Theory: Information theory relates to concepts like entropy, KL-divergence, and related notions, providing the basis for understanding how information is measured and processed.]\n– \u0110i\u1ec1u khi\u1ec3n v\u00e0 Gi\u1ea3i t\u00edch t\u1ed1i \u0111a: C\u00e1c ph\u01b0\u01a1ng ph\u00e1p trong \u0111i\u1ec1u khi\u1ec3n v\u00e0 gi\u1ea3i t\u00edch t\u1ed1i \u0111a c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng \u0111\u1ec3 \u0111i\u1ec1u ch\u1ec9nh c\u00e1c thu\u1eadt to\u00e1n h\u1ecdc m\u00e1y v\u00e0 t\u1ed1i \u01b0u h\u00f3a hi\u1ec7u su\u1ea5t ch\u00fang.
\n[Control and Maximum Analysis: Methods from control theory and calculus of variations can be applied to fine-tune machine learning algorithms and optimize their performance.]\n– \u0110\u1ea1i s\u1ed1 \u0111a gi\u00e1c v\u00e0 L\u00fd thuy\u1ebft \u0111\u1ed3 th\u1ecb: C\u00e1c ph\u01b0\u01a1ng ph\u00e1p n\u00e0y quan tr\u1ecdng trong vi\u1ec7c hi\u1ec3u v\u00e0 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn ph\u00e2n lo\u1ea1i, gom c\u1ee5m v\u00e0 t\u1ed1i \u01b0u h\u00f3a tr\u00ean d\u1eef li\u1ec7u c\u00f3 c\u1ea5u tr\u00fac.
\n[Polynomial Algebra and Graph Theory: These methods are important for understanding and solving problems related to classification, clustering, and structured data optimization.]\n– L\u00fd thuy\u1ebft ma tr\u1eadn v\u00e0 Ph\u00e2n t\u00edch gi\u00e1 tr\u1ecb ri\u00eang: L\u00fd thuy\u1ebft ma tr\u1eadn li\u00ean quan \u0111\u1ebfn vi\u1ec7c hi\u1ec3u c\u00e1c bi\u1ebfn \u0111\u1ed5i tuy\u1ebfn t\u00ednh v\u00e0 ph\u00e9p xoay, trong khi ph\u00e2n t\u00edch gi\u00e1 tr\u1ecb ri\u00eang c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng trong vi\u1ec7c n\u00e9n v\u00e0 bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u.
\n[Matrix Theory and Eigenvalue Analysis: Matrix theory involves understanding linear transformations and rotations, while eigenvalue analysis can be applied in data compression and representation.]\n– L\u00fd thuy\u1ebft chu\u1ed7i Markov: L\u00fd thuy\u1ebft n\u00e0y li\u00ean quan \u0111\u1ebfn c\u00e1c m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n d\u1ef1a tr\u00ean qu\u00e1 tr\u00ecnh ng\u1eabu nhi\u00ean v\u00e0 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong x\u1eed l\u00fd ng\u00f4n ng\u1eef t\u1ef1 nhi\u00ean v\u00e0 nh\u1eadn d\u1ea1ng th\u1ecb gi\u00e1c.
\n[Markov Chain Theory: This theory is relevant to predictive models based on random processes and can be applied in natural language processing and computer vision tasks.]\n– T\u00edch ph\u00e2n v\u00e0 \u0110\u1ea1i s\u1ed1 vi ph\u00e2n: C\u00e1c kh\u00e1i ni\u1ec7m n\u00e0y quan tr\u1ecdng trong vi\u1ec7c hi\u1ec3u v\u1ec1 c\u00e1c m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n v\u00e0 x\u1eed l\u00fd t\u00edn hi\u1ec7u, ch\u1eb3ng h\u1ea1n nh\u01b0 m\u1ea1ng n\u01a1-ron s\u00e2u.
\n[Integration and Differential Calculus: These concepts are important for understanding predictive models and signal processing, such as deep neural networks.]\n– L\u00fd thuy\u1ebft tr\u00f2 ch\u01a1i: \u00c1p d\u1ee5ng trong c\u00e1c l\u0129nh v\u1ef1c nh\u01b0 h\u1ecdc m\u00e1y t\u0103ng c\u01b0\u1eddng v\u00e0 c\u00e1c thu\u1eadt to\u00e1n d\u1ef1 \u0111o\u00e1n trong m\u00f4i tr\u01b0\u1eddng \u0111a d\u1ea1ng.
\n[Game Theory: Applied in areas like reinforcement learning and predictive algorithms in diverse environments.]\nT\u00f9y v\u00e0o lo\u1ea1i c\u00f4ng vi\u1ec7c v\u00e0 d\u1ef1 \u00e1n c\u1ee5 th\u1ec3, b\u1ea1n s\u1ebd c\u1ea7n ph\u1ea3i s\u1eed d\u1ee5ng m\u1ed9t ho\u1eb7c v\u00e0i trong nh\u1eefng ch\u1ee7 \u0111\u1ec1 n\u00e0y \u0111\u1ec3 hi\u1ec3u v\u00e0 ph\u00e1t tri\u1ec3n c\u00e1c gi\u1ea3i ph\u00e1p AI hi\u1ec7u qu\u1ea3. [Depending on the specific job and project, you’ll need to use one or several of these topics to understand and develop effective AI solutions.]\n

Ph\u1ea1m Nguy\u1ec5n Nh\u1eadt Khanh<\/p>\n","protected":false},"excerpt":{"rendered":"

AI c\u00f3 \u1ee9ng d\u1ee5ng r\u1ea5t r\u1ed9ng trong nhi\u1ec1u l\u0129nh v\u1ef1c, bao g\u1ed3m c\u00f4ng nghi\u1ec7p, y t\u1ebf, t\u00e0i ch\u00ednh, giao th\u00f4ng v\u1eadn t\u1ea3i, truy\u1ec1n th\u00f4ng, v\u00e0 nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c. Ng\u00e0y \u0111\u0103ng: 18\/09\/2023 S\u01a1 l\u01b0\u1ee3c v\u1ec1 AI? “AI” l\u00e0 vi\u1ebft t\u1eaft c\u1ee7a “Tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o” (Artificial Intelligence).\u00a0\u0110\u00e2y l\u00e0 m\u1ed9t l\u0129nh v\u1ef1c trong khoa h\u1ecdc m\u00e1y…<\/p>\n","protected":false},"author":23,"featured_media":13026,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[64,64,195],"tags":[],"class_list":{"0":"post-13028","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","6":"hentry","7":"category-news","9":"category-tin-tuc-su-kien-en"},"_links":{"self":[{"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/posts\/13028","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/users\/23"}],"replies":[{"embeddable":true,"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/comments?post=13028"}],"version-history":[{"count":0,"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/posts\/13028\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/media\/13026"}],"wp:attachment":[{"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=13028"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=13028"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cntt.ntt.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=13028"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}