Tensor-Based Dynamical Systems:Theory and Applications (Synthesis Lectures on Mathematics & Statistics)

by: Can Chen (Author)

Publisher: Springer

Edition: 2024th

Publication Date: 2024/3/5

Language: English

Print Length: 121 pages

ISBN-10: 3031545044

ISBN-13: 9783031545047

Book Description

This book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine leaing, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to lea, develop, and apply the framework of tensor-based dynamical systems.

About the Author

This book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine leaing, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to lea, develop, and apply the framework of tensor-based dynamical systems.

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