An accelerated proximal iterative hard thresholding method for $\ell_0$ minimization

Xue Zhang; Xiaoqun Zhang

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arXiv · 1709.01668

An accelerated proximal iterative hard thresholding method for $\ell_0$ minimization

Xue Zhang·Xiaoqun Zhang

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Abstract

In this paper, we consider a non-convex problem which is the sum of $\ell_0$-norm and a convex smooth function under box constraint. We propose one proximal iterative hard thresholding type method with extrapolation step used for acceleration and establish its global convergence results. In detail, the sequence generated by the proposed method globally converges to a local minimizer of the objective function. Finally, we conduct numerical experiments to show the proposed method's effectiveness on comparison with some other efficient methods.

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Xue Zhang, Xiaoqun Zhang. 2017-09-06. An accelerated proximal iterative hard thresholding method for $\ell_0$ minimization. https://arxiv.org/abs/1709.01668

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