Title
Optimal Restricted Isometry Condition for Exact Sparse Recovery with Orthogonal Least Squares
Abstract
Orthogonal least squares (OLS) is a classic algorithm for sparse recovery, function approximation, and subset selection. In this paper, we analyze the performance guarantee of the OLS algorithm. Specifically, we show that OLS guarantees the exact reconstruction of any K-sparse vector in K iterations, provided that a sensing matrix has unit l 2 -norm columns and satisfies the restricted isometry property (RIP) of order K +1 with\\begin{equation*}{\\delta _{K + 1}} K+1 ≥ C K , then there exists a counterexample for which OLS fails the recovery.
Year
DOI
Venue
2020
10.1109/ISIT44484.2020.9174472
ISIT
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Junhan Kim194.55
Byonghyo Shim293788.51