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An introduction to sparse stochastic processes

Author: Michael A Unser; Pouya Tafti
Publisher: Cambridge : Cambridge University Press, 2014.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Providing a novel approach to sparsity, this comprehensive book presents the theory of stochastic processes that are ruled by linear stochastic differential equations, and that admit a parsimonious representation in a matched wavelet-like basis. Two key themes are the statistical property of infinite divisibility, which leads to two distinct types of behaviour - Gaussian and sparse - and the structural link between  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Unser, Michael A.
Introduction to sparse stochastic processes
(DLC) 2014003923
(OCoLC)871044218
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael A Unser; Pouya Tafti
ISBN: 9781107415805 1107415802 9781316054505 1316054500
OCLC Number: 890603777
Description: 1 online resource (xviii, 367 pages)
Contents: Roadmap to the book --
Mathematical context and background --
Continuous-domain innovation models --
Operators and their inverses --
Splines and wavelets --
Sparse stochastic processes --
Sparse representations --
Infinite divisibility and transform-domain statistics --
Recovery of sparse signals --
Wavelet-domain methods --
Conclusion --
Appendix A : Singular integrals --
Appendix B : Positive definiteness --
Appendix C : Special functions.
Responsibility: Michael Unser and Pouya D. Tafti, École Polytechnique Fédérale, Lausanne.

Abstract:

Providing a novel approach to sparsity, this comprehensive book presents the theory of stochastic processes that are ruled by linear stochastic differential equations, and sets out a general  Read more...

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'Over the last twenty years, sparse representation of images and signals became a very important topic in many applications, ranging from data compression, to biological vision, to medical imaging. Read more...

 
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