QISTA-Net: DNN Architecture to Solve $\ell_q$-norm Minimization Problem and Image Compressed Sensing
Gang-Xuan Lin,
Shih-Wei Hu,
Chun-Shien Lu
Abstract:In this paper, we reformulate the non-convex q -norm minimization problem with q ∈ (0, 1) into a 2-step problem, which consists of one convex and one non-convex subproblems, and propose a novel iterative algorithm called QISTA ( q -ISTA) to solve the ( q )-problem. By taking advantage of deep learning in accelerating optimization algorithms, together with the speedup strategy that using the momentum from all previous layers in the network, we propose a learning-based method, called QISTA-Net-s, to solve the sp… Show more
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