A Matrix Algebra Approach to Artificial Intelligence

Authors: Zhang, Xian-Da

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  • Proposes the machine learning tree, the neural network tree and the evolutionary computation tree
  • Presents the solid matrix algebra theory and methods for machine learning, neural networks, support vector machines and evolutionary computation
  • Highlights selected topics and advances in machine learning, neural networks and evolutionary computation
  • Summarizes about 80 AI algorithms so that readers can further understand and implement relevant AI methods
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eBook 139,09 €
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  • ISBN 978-981-15-2770-8
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Hardcover 176,79 €
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About this book

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.  

About the authors

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).

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 139,09 €
price for Spain (gross)
  • ISBN 978-981-15-2770-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 176,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
A Matrix Algebra Approach to Artificial Intelligence
Authors
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-2770-8
DOI
10.1007/978-981-15-2770-8
Hardcover ISBN
978-981-15-2769-2
Edition Number
1
Number of Pages
XXXIV, 820
Number of Illustrations
389 b/w illustrations
Topics