Abstract | ||
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Atomic norm denoising has been recently introduced as a generalization of the Least Absolute Shrinkage and Selection Operator (LASSO) to overcome the problem of off-grid parameters. The method has been found to possess many interesting theoretical properties. However, its implementation has been only discussed in a special case of spectral line estimation by uniform sampling. In this paper, we propose a general numerical method to solve the atomic norm denoising problem. The complexity of the proposed algorithm is proportional to the complexity of a single-parameter search in the parameter space and thus in many interesting cases, including frequency estimation it enjoys fast realization. |
Year | Venue | Keywords |
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2015 | 2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP) | Atomic norm, LASSO, multiple parameter estimation, implementation |
Field | DocType | ISSN |
Noise reduction,Mathematical optimization,Computer science,Lasso (statistics),Parameter space,Sampling (statistics),Estimation theory,Numerical analysis,Compressed sensing,Special case | Conference | 1520-6149 |
Citations | PageRank | References |
6 | 0.44 | 8 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ashkan Panahi | 1 | 93 | 13.97 |
M. Viberg | 2 | 917 | 188.13 |
Babak Hassibi | 3 | 8737 | 778.04 |