Mathematics of Multilevel Systems: Data, Scaling, Images, Signals, and Fractals (Hardcover)

Mathematics of Multilevel Systems: Data, Scaling, Images, Signals, and Fractals By Palle Jorgensen, Myung-Sin Song Cover Image
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Description


This book presents the mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals. It also encompasses image compression examples using wavelet transform and includes the principal component analysis which is a hot topic on data dimension reduction in machine learning.Readers will find equal coverage on the following three themes: The book entails a varied choice of diverse interdisciplinary themes. While the topics can be found in various parts of the pure and applied literature, this book fulfills the need for an accessible presentation which cuts across the fields.As the target audience is wide-ranging, a detailed and systematic discussion of issues involving infinite dimensions and Hilbert space is presented in later chapters on wavelets, transform theory and, entropy encoding and probability. For the problems addressed there, the case of infinite dimension will be more natural, and well-motivated.


Product Details
ISBN: 9789811268977
ISBN-10: 9811268975
Publisher: World Scientific Publishing Company
Publication Date: July 3rd, 2023
Pages: 272
Language: English

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