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  Compressed Sensing and Bayesian Experimental Design

Seeger, M., & Nickisch, H. (2008). Compressed Sensing and Bayesian Experimental Design. In W. Cohen, A. McCallum, & S. Roweis (Eds.), ICML '08: Proceedings of the 25th international conference on Machine (pp. 912-919). New York, NY, USA: ACM Press.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-C839-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-431C-3
Genre: Conference Paper

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ICML-2008-Seeger.pdf (Any fulltext), 382KB
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 Creators:
Seeger, MW1, 2, Author              
Nickisch, H1, 2, Author              
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: We relate compressed sensing (CS) with Bayesian experimental design and provide a novel efficient approximate method for the latter, based on expectation propagation. In a large comparative study about linearly measuring natural images, we show that the simple standard heuristic of measuring wavelet coefficients top-down systematically outperforms CS methods using random measurements; the sequential projection optimisation approach of (Ji amp;amp;amp; Carin, 2007) performs even worse. We also show that our own approximate Bayesian method is able to learn measurement filters on full images efficiently which ouperform the wavelet heuristic. To our knowledge, ours is the first successful attempt at "learning compressed sensing" for images of realistic size. In contrast to common CS methods, our framework is not restricted to sparse signals, but can readily be applied to other notions of signal complexity or noise models. We give concrete ideas how our method can be scaled up to large signal representations.

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 Dates: 2008-07
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1145/1390156.1390271
BibTex Citekey: 5135
 Degree: -

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Title: 25th International Conference on Machine Learning (ICML 2008)
Place of Event: Helsinki, Finland
Start-/End Date: 2008-07-05 - 2008-07-09

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Title: ICML '08: Proceedings of the 25th international conference on Machine
Source Genre: Proceedings
 Creator(s):
Cohen, WW, Editor
McCallum, A, Editor
Roweis, ST, Editor
Affiliations:
-
Publ. Info: New York, NY, USA : ACM Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 912 - 919 Identifier: ISBN: 978-1-60558-205-4