From Algebraic Structures to Tensors is popular PDF and ePub book, written by Gérard Favier in 2020-01-02, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, From Algebraic Structures to Tensors can be Read Online from any device for your convenience.
From Algebraic Structures to Tensors Book PDF Summary
Nowadays, tensors play a central role for the representation, mining, analysis, and fusion of multidimensional, multimodal, and heterogeneous big data in numerous fields. This set on Matrices and Tensors in Signal Processing aims at giving a self-contained and comprehensive presentation of various concepts and methods, starting from fundamental algebraic structures to advanced tensor-based applications, including recently developed tensor models and efficient algorithms for dimensionality reduction and parameter estimation. Although its title suggests an orientation towards signal processing, the results presented in this set will also be of use to readers interested in other disciplines. This first book provides an introduction to matrices and tensors of higher-order based on the structures of vector space and tensor space. Some standard algebraic structures are first described, with a focus on the hilbertian approach for signal representation, and function approximation based on Fourier series and orthogonal polynomial series. Matrices and hypermatrices associated with linear, bilinear and multilinear maps are more particularly studied. Some basic results are presented for block matrices. The notions of decomposition, rank, eigenvalue, singular value, and unfolding of a tensor are introduced, by emphasizing similarities and differences between matrices and tensors of higher-order.
Detail Book of From Algebraic Structures to Tensors PDF
- Author : Gérard Favier
- Release : 02 January 2020
- Publisher : John Wiley & Sons
- ISBN : 9781786301543
- Genre : Technology & Engineering
- Total Page : 324 pages
- Language : English
- PDF File Size : 15,7 Mb
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