Optimality conditions for zero-one composite optimization problems

Guo-Ping Li (), Jia-Li Feng, Chao Kan () and Wen Song ()
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Guo-Ping Li: Harbin Normal University
Jia-Li Feng: Harbin Normal University
Chao Kan: Harbin Normal University
Wen Song: Harbin Normal University

Journal of Global Optimization, 2025, vol. 93, issue 2, No 5, 487 pages

Abstract: Abstract This paper is devoted to study of the second-order optimality conditions for zero-one composite optimization problems via the second subderivatives. This kind of problem has a wide range of applications including support vector machines and 1-bit compressed sensing and so on. To this end, we develop the calculations of the first and second-order subderivative of the zero-one function and the composition of a zero-one function with an affine operator by using some tools in variational analysis.

Keywords: 0/1-loss function; Subderivative; Parabolical subderivative; Optimality condition (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10898-025-01524-2

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