Rao, NS and Nowak, RD and Wright, SJ and Kingsbury, NG (2011) Convex approaches to model wavelet sparsity patterns. Proceedings - International Conference on Image Processing, ICIP. pp. 1917-1920. ISSN 1522-4880Full text not available from this repository.
Statistical dependencies among wavelet coefficients are commonly represented by graphical models such as hidden Markov trees (HMTs). However, in linear inverse problems such as deconvolution, tomography, and compressed sensing, the presence of a sensing or observation matrix produces a linear mixing of the simple Markovian dependency structure. This leads to reconstruction problems that are non-convex optimizations. Past work has dealt with this issue by resorting to greedy or suboptimal iterative reconstruction methods. In this paper, we propose new modeling approaches based on group-sparsity penalties that leads to convex optimizations that can be solved exactly and efficiently. We show that the methods we develop perform significantly better in de-convolution and compressed sensing applications, while being as computationally efficient as standard coefficient-wise approaches such as lasso. © 2011 IEEE.
|Divisions:||Div F > Signal Processing and Communications|
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|Date Deposited:||15 Dec 2015 12:42|
|Last Modified:||02 May 2016 07:35|