Tensor-Based Dynamical Systems

Theory and Applications

Gebonden Engels 2024 9783031545047
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783031545047
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

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Inhoudsopgave

Tensors and Tensor Algebra.- Tucker Product Representation.- Einstein Product Representation.- CP/tensor Train Decomposition Representation.- Tensor Vector Product Representation.- Contract Product Representation.- T-product Representation.

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        Tensor-Based Dynamical Systems