Name
Abstract | ||
|---|---|---|
We consider the signal recovery through an unconstrained minimization in the framework of mutual incoherence property. A sufficient condition is provided to guarantee the stable recovery in the noisy case. Furthermore, oracle inequalities of both sparse signals and non-sparse signals are derived under the mutual incoherence condition in the case of Gaussian noises. Finally, we investigate the relationship between mutual incoherence property and robust null space property and find that robust null space property can be deduced from the mutual incoherence property. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s11464-018-0733-9 | Frontiers of Mathematics in China |
Keywords | Field | DocType |
Mutual incoherence property (MIP), Lasso, Dantzig selector, oracle inequality, robust null space property (RNSP), 65K05, 90C25, 92C55, 94A12 | Kernel (linear algebra),Oracle inequality,Topology,Lasso (statistics),Signal recovery,Algorithm,Gaussian,Minification,Mathematics | Journal |
Volume | Issue | ISSN |
abs/1806.10799 | 6 | 1673-3452 |
Citations | PageRank | References |
0 | 0.34 | 16 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Li Peng | 1 | 9 | 4.03 |
| Wengu Chen | 2 | 0 | 0.34 |