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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Sprechmann, P. Ramirez, I. Sapiro, G. Eldar, Y. |
| Copyright Year | 2010 |
| Description | Author affiliation: Technion I. I. T., USA (Eldar, Y.) || University of Minnesota, USA (Sprechmann, P.; Ramirez, I.; Sapiro, G.) |
| Abstract | Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an ℓ1-regularized linear regression problem, usually called Lasso. In this work we first combine the sparsity-inducing property of the Lasso model, at the individual feature level, with the block-sparsity property of the group Lasso model, where sparse groups of features are jointly encoded, obtaining a sparsity pattern hierarchically structured. This results in the hierarchical Lasso, which shows important practical modeling advantages. We then extend this approach to the collaborative case, where a set of simultaneously coded signals share the same sparsity pattern at the higher (group) level but not necessarily at the lower one. Signals then share the same active groups, or classes, but not necessarily the same active set. This is very well suited for applications such as source separation. An efficient optimization procedure, which guarantees convergence to the global optimum, is developed for these new models. The underlying presentation of the new framework and optimization approach is complemented with experimental examples and preliminary theoretical results. |
| Starting Page | 1 |
| Ending Page | 6 |
| File Size | 852515 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424474165 |
| e-ISBN | 9781424474172 |
| DOI | 10.1109/CISS.2010.5464845 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-03-17 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Dictionaries Source separation Data analysis Instruments Linear regression Collaboration Signal processing Collaborative work Encoding Robustness |
| Content Type | Text |
| Resource Type | Article |
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