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


Mathematics of Multilevel Systems: Data, Scaling, Images, Signals, and Fractals - Palle Jorgensen
736.56 Lei

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(05-07-2024)
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This book presents the Mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals.
For the problems addressed there, the case of infinite dimension will be more natural, and well-motivated.
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.
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.
This book presents the Mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals.
For the problems addressed there, the case of infinite dimension will be more natural, and well-motivated.
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.
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.
The book entails a varied choice of diverse interdisciplinary themes.
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.
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.
This book presents the Mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals


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