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Optimality conditions for zero-one composite optimization problems

Author

Listed:
  • Guo-Ping Li

    (Harbin Normal University)

  • Jia-Li Feng

    (Harbin Normal University)

  • Chao Kan

    (Harbin Normal University)

  • Wen Song

    (Harbin Normal University)

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.

Suggested Citation

  • Guo-Ping Li & Jia-Li Feng & Chao Kan & Wen Song, 2025. "Optimality conditions for zero-one composite optimization problems," Journal of Global Optimization, Springer, vol. 93(2), pages 471-487, October.
    • Handle: RePEc:spr:jglopt:v:93:y:2025:i:2:d:10.1007_s10898-025-01524-2
    DOI: 10.1007/s10898-025-01524-2
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