A multi-stage framework for Dantzig selector and LASSO
The Journal of Machine Learning Research
Exact sparse recovery with L0 projections
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Greedy sparsity-constrained optimization
The Journal of Machine Learning Research
Hi-index | 754.84 |
This paper presents a new analysis for the orthogonal matching pursuit (OMP) algorithm. It is shown that if the restricted isometry property (RIP) is satisfied at sparsity level O(k̅), then OMP can stably recover a k̅-sparse signal in 2-norm under measurement noise. For compressed sensing applications, this result implies that in order to uniformly recover a k̅-sparse signal in Rd, only O(k̅ lnd) random projections are needed. This analysis improves some earlier results on OMP depending on stronger conditions that can only be satisfied with Ω(k̅2 lnd) or Ω(k̅1.6 lnd) random projections.