An Improved SL0 Algorithm Based on the SESOP Method

Abstract

The unconstrained formula of the smoothed 0 l approximation is proposed based on the basis pursuit (BP) and the improved smoothed 0 l approximation (ISL0) algorithm, and then an improved SL0 algorithm with the sequence subspace optimal method is provided to solve the unconstrained formula. The algorithm translates the constrained sparse decomposition problem into the unconstrained sparse decomposition problem of the smoothed 0 l approximation, and the unconstrained problem is solved with the SESOP method. The experimental results show that the proposed algorithm has the better effect of sparse decomposition and the denoising effect, the sparse coefficient has the better accuracy, and the algorithm is efficient to the proposed unconstrained problem.