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<p>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.</p>

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Optimality conditions for zero-one composite optimization problems

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Guo-Ping Li,
  • Jia-Li Feng,
  • Chao Kan,
  • Wen Song

摘要

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.