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arXiv · 1603.06912

A note on the convergence of nonconvex line search

Tao Sun·Lizhi Chenga·Hao Jiang
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Abstract

In this note, we consider the line search for a class of abstract nonconvex algorithm which have been deeply studied in the Kurdyka-Lojasiewicz theory. We provide a weak convergence result of the line search in general. When the objective function satisfies the Kurdyka-Lojasiewicz property and some certain assumption, a global convergence result can be derived. An application is presented for the L0-regularized least square minimization in the end of the paper.

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Tao Sun, Lizhi Chenga, Hao Jiang. 2016-03-19. A note on the convergence of nonconvex line search. https://arxiv.org/abs/1603.06912

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