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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 learning, 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 learn, develop, and apply the framework of tensor-based dynamical systems.
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Informazioni sull?autore
Can Chen, Ph.D. is an Assistant Professor in the School of Data Science and Society with a second appointment in the Department of Mathematics at the University of North Carolina at Chapel Hill. He received the B.S. degree in Mathematics from the University of California, Irvine in 2016, and the M.S. degree in Electrical and Computer Engineering and the Ph.D. degree in Applied and Interdisciplinary Mathematics from the University of Michigan in 2020 and 2021, respectively. He was a Postdoctoral Research Fellow in the Channing Division of Network Medicine at Brigham and Women's Hospital and Harvard Medical School from 2021 to 2023. His research interests span a diverse range of fields, including control theory, network science, tensor algebra, numerical analysis, data science, machine learning, deep learning, hypergraph learning, data analysis, and computational biology.
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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 learning, 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 learn, develop, and apply the framework of tensor-based dynamical systems.
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- EditoreSpringer Nature
- Data di pubblicazione2024
- ISBN 10 3031545044
- ISBN 13 9783031545047
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine124
- Contatto del produttorenon disponibile
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Tensor-Based Dynamical Systems
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ISBN 10: 3031545044
ISBN 13: 9783031545047
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Tensor-Based Dynamical Systems
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Springer International Publishing Apr 2024, 2024
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systemswhere system evolutions are captured through various tensor products. The author provides an overview ofexisting literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems. 124 pp. Englisch. Codice articolo 9783031545047
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Tensor-Based Dynamical Systems : Theory and Applications
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Springer International Publishing, 2024
ISBN 10: 3031545044
ISBN 13: 9783031545047
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systemswhere system evolutions are captured through various tensor products. The author provides an overview ofexisting literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems. Codice articolo 9783031545047
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Tensor-Based Dynamical Systems
ISBN 10: 3031545044
ISBN 13: 9783031545047
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Buch. Condizione: Neu. Neuware -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 learning, 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 learn, develop, and apply the framework of tensor-based dynamical systems.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 124 pp. Englisch. Codice articolo 9783031545047
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