Stable Cosparse Recovery via \ell_q-analysis Optimization

Abstract

In this paper we study the lq-analysis optimization (0 < q ≤ 1) problem for cosparse signal recovery. Our results show that the nonconvex lq-analysis optimization with q < 1 has better properties in terms of stability and robustness than the convex l1-analysis optimization. In addition, we develop an iteratively reweighted method to solve this problem under… (More)

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