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商品描述
Matrix algebra plays an important role in many core artificial intelligence (AI) areas, including machine learning, neural networks, support vector machines (SVMs) and evolutionary computation. This book offers a comprehensive and in-depth discussion of matrix algebra theory and methods for these four core areas of AI, while also approaching AI from a theoretical matrix algebra perspective.
The book consists of two parts: the first discusses the fundamentals of matrix algebra in detail, while the second focuses on the applications of matrix algebra approaches in AI. Highlighting matrix algebra in graph-based learning and embedding, network embedding, convolutional neural networks and Pareto optimization theory, and discussing recent topics and advances, the book offers a valuable resource for scientists, engineers, and graduate students in various disciplines, including, but not limited to, computer science, mathematics and engineering.
商品描述(中文翻譯)
矩陣代數在許多核心人工智慧(AI)領域中扮演著重要角色,包括機器學習、神經網絡、支持向量機(SVM)和進化計算。本書提供了對這四個核心AI領域的矩陣代數理論和方法的全面且深入的討論,同時也從理論矩陣代數的角度探討AI。
本書分為兩個部分:第一部分詳細討論矩陣代數的基本原理,第二部分則專注於矩陣代數方法在AI中的應用。本書強調了矩陣代數在基於圖的學習和嵌入、網絡嵌入、卷積神經網絡和帕累托優化理論中的應用,並討論了近期的主題和進展,為各個學科的科學家、工程師和研究生提供了寶貴的資源,包括但不限於計算機科學、數學和工程。
作者簡介
XIAN-DA ZHANG is a Professor Emeritus at the Department of Automation, Tsinghua University, China. He was a Distinguished Professor at Xidian University, Xi'an, China, as part of the Ministry of Education of China and Cheung Kong Scholars Programme, from 1999 to 2002. His areas of research include intelligent signal and information processing, pattern recognition, machine learning and neural networks, evolutional computation, and correlated applied mathematics. He has published over 120 international journal and conference papers. The Japanese translation of his book "Linear Algebra in Signal Processing" (published in Chinese by Science Press, Beijing, in 1997) was published by Morikita Press, Tokyo, in 2008. He also authored the book "Matrix Analysis and Applications" (Cambridge University Press, UK, 2017).
作者簡介(中文翻譯)
XIAN-DA ZHANG 是中國清華大學自動化系的名譽教授。他曾於1999年至2002年間擔任西安電子科技大學的特聘教授,該職位由中國教育部及長江學者計畫提供。他的研究領域包括智能信號與信息處理、模式識別、機器學習與神經網絡、進化計算以及相關應用數學。他已發表超過120篇國際期刊和會議論文。他的著作《信號處理中的線性代數》(1997年由北京科學出版社出版)的日文翻譯版於2008年由東京的森北出版發行。他還著有《矩陣分析與應用》(劍橋大學出版社,英國,2017年)。