Kurdyka–Łojasiewicz Property of Zero-Norm Composite Functions

Yuqia Wu (), Shaohua Pan () and Shujun Bi ()
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Yuqia Wu: South China University of Technology
Shaohua Pan: South China University of Technology
Shujun Bi: South China University of Technology

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 1, No 5, 94-112

Abstract: Abstract This paper focuses on a class of zero-norm composite optimization problems. For this class of nonconvex nonsmooth problems, we establish the Kurdyka–Łojasiewicz 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.

Keywords: KL property of exponent 1/2; Zero-norm; Composite optimization; 90C26; 90C56; 49J50 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-020-01779-7

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