Practically, in the underdetermined model y = Ax, where x is a K sparse vector (i.e., it has no more than K nonzero entries), both y and A could be totally perturbed. A more relaxed condition means less number of measurements are needed to ensure the sparse recovery from theoretical aspect. In this paper, based on restricted isometry property (RIP), for subspace pursuit (SP) and compressed samp...

In this paper we investigatet the efficiency of the Orthogonal Matching Pursuit for random dictionaries. We concentrate on dictionaries satisfying Restricted Isometry Property. We introduce a stronger Homogenous Restricted Isometry Property which is satisfied with overwhelming probability for random dictionaries used in compressed sensing. We also present and discuss some open problems about OMP.

Abstract—In this work, we provide non-asymptotic, probabilistic guarantees for successful sparse support recovery by the multiple sparse Bayesian learning (M-SBL) algorithm in the multiple measurement vector (MMV) framework. For joint sparse Gaussian sources, we show that M-SBL perfectly recovers their common nonzero support with arbitrarily high probability using only finitely many MMVs. In fa...

We consider the block orthogonal multi-matching pursuit (BOMMP) algorithm for the recovery of block sparse signals. A sharp bound is obtained for the exact reconstruction of block K-sparse signals via the BOMMP algorithm in the noiseless case, based on the block restricted isometry constant (block-RIC). Moreover, we show that the sharp bound combining with an extra condition on the minimum l2 n...

We consider the Duhamel equation ? f = g in subspace C? xy {f ([0, 1] [0, 1]) : (x, y) F (xy) for some of space and prove that if pxy=0, 0, then this is uniquely solvable x y. The commutant restricted double integration operator Wxy := ?x 0 ?y (t?) d?dt on y also described. Some other related questions are discussed.

Set shifting difficulties and weak central coherence are information-processing biases associated with thinness-oriented eating and body image pathology in women. However, little is known about the relationship between these processing biases and muscularity-oriented eating and body image pathology. We investigated whether set shifting and central coherence were uniquely related to the drive fo...