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arXiv · 1811.04371

Kurdyka-Lojasiewicz Property of Zero-Norm Composite Functions

Yuqia Wu·Shaohua Pan·Shujun Bi
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Abstract

This paper focuses on a class of zero-norm composite optimization problems. For this class of nonconvex nonsmooth problems, we establish the Kurdyka-Lojasiewicz property of exponent being a half for its objective function under a suitable assumption, and provide some examples to illustrate that such an assumption is not very restricted which, in particular, involve the zero-norm regularized or constrained piecewise linear-quadratic function, the zero-norm regularized or constrained logistic regression function, the zero-norm regularized or constrained quadratic function over a sphere.

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Yuqia Wu, Shaohua Pan, Shujun Bi. 2018-11-11. Kurdyka-Lojasiewicz Property of Zero-Norm Composite Functions. https://arxiv.org/abs/1811.04371

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