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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Krzakala, F. Mezard, M. Zdeborova, L. |
| Copyright Year | 2013 |
| Description | Author affiliation: Inst. de Phys. Theor., CEA Saclay, Gif-sur-Yvette, France (Zdeborova, L.) || Ecole Normale Super., Paris, France (Mezard, M.) || ESPCI, Paris, France (Krzakala, F.) |
| Abstract | We consider dictionary learning and blind calibration for signals and matrices created from a random ensemble. We study the mean-squared error in the limit of large signal dimension using the replica method and unveil the appearance of phase transitions delimiting impossible, possible-but-hard and possible inference regions. We also introduce an approximate message passing algorithm that asymptotically matches the theoretical performance, and show through numerical tests that it performs very well, for the calibration problem, for tractable system sizes. |
| Starting Page | 659 |
| Ending Page | 663 |
| File Size | 170863 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781479904464 |
| ISSN | 21578117 |
| DOI | 10.1109/ISIT.2013.6620308 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-07-07 |
| Publisher Place | Turkey |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Dictionaries Compressed sensing Message passing Sparse matrices Calibration Approximation methods Information theory |
| Content Type | Text |
| Resource Type | Article |
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