Book
Mathematics of Multi-Level Systems: Data, Scaling, Images, Signals, and Fractals
Contemporary mathematics and its applications: monographs, expositions and lecture notes, v. 8, World Scientific
2023
DOI: 10.1142/13227
Appears in Recent Books by UI Authors
Abstract
"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"-- Provided by publisher
Details
- Title: Subtitle
- Mathematics of Multi-Level Systems: Data, Scaling, Images, Signals, and Fractals
- Creators
- Palle E T JorgensenMyung-Sin Song - Southern Illinois University Edwardsville
- Resource Type
- Book
- Publisher
- World Scientific; New Jersey
- Series
- Contemporary mathematics and its applications: monographs, expositions and lecture notes; v. 8
- DOI
- 10.1142/13227
- ISBN
- 9811268975; 9789811268977
- Number of pages
- xv, 253 pages
- Language
- English
- Date published
- 2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984531959102771
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