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

5643.000

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AuthorPalle E T Jorgensen and Myung-Sin Song
ISBN9789811268977
Published LanguageEnglish
Publication Year2023
PublisherWorld Scientific
BindingHardback
Pages272
Original Price$88.00

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:

  • a selection of practical projects and algorithms;
  • the theory underpinning the subjects;
  • the important interplay between theory and applications.

 

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.

Additional information

Author

ISBN

Published Language

Publication Year

Publisher

Binding

Pages

272

Original Price