An introduction to sparse stochastic processes:
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 infinit...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2014
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 linear stochastic processes and spline functions, which is exploited to simplify the mathematical analysis. The core of the book is devoted to investigating sparse processes, including a complete description of their transform-domain statistics. The final part develops practical signal-processing algorithms that are based on these models, with special emphasis on biomedical image reconstruction. This is an ideal reference for graduate students and researchers with an interest in signal/image processing, compressed sensing, approximation theory, machine learning, or statistics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 367 pages) |
| ISBN: | 9781107415805 |
| DOI: | 10.1017/CBO9781107415805 |
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| discipline | Mathematik |
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| indexdate | 2024-07-10T07:39:20Z |
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| isbn | 9781107415805 |
| language | English |
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| spelling | Unser, Michael A. Verfasser aut An introduction to sparse stochastic processes Michael Unser and Pouya Tafti, École polytechnique fédérale, Lausanne Cambridge Cambridge University Press 2014 1 online resource (xviii, 367 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 linear stochastic processes and spline functions, which is exploited to simplify the mathematical analysis. The core of the book is devoted to investigating sparse processes, including a complete description of their transform-domain statistics. The final part develops practical signal-processing algorithms that are based on these models, with special emphasis on biomedical image reconstruction. This is an ideal reference for graduate students and researchers with an interest in signal/image processing, compressed sensing, approximation theory, machine learning, or statistics Stochastic differential equations Random fields Gaussian processes Tafti, Pouya Sonstige oth Erscheint auch als Druckausgabe 978-1-107-05854-5 https://doi.org/10.1017/CBO9781107415805 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Unser, Michael A. An introduction to sparse stochastic processes Stochastic differential equations Random fields Gaussian processes |
| title | An introduction to sparse stochastic processes |
| title_auth | An introduction to sparse stochastic processes |
| title_exact_search | An introduction to sparse stochastic processes |
| title_full | An introduction to sparse stochastic processes Michael Unser and Pouya Tafti, École polytechnique fédérale, Lausanne |
| title_fullStr | An introduction to sparse stochastic processes Michael Unser and Pouya Tafti, École polytechnique fédérale, Lausanne |
| title_full_unstemmed | An introduction to sparse stochastic processes Michael Unser and Pouya Tafti, École polytechnique fédérale, Lausanne |
| title_short | An introduction to sparse stochastic processes |
| title_sort | an introduction to sparse stochastic processes |
| topic | Stochastic differential equations Random fields Gaussian processes |
| topic_facet | Stochastic differential equations Random fields Gaussian processes |
| url | https://doi.org/10.1017/CBO9781107415805 |
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