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math.OC2025
Tilt stability of Ky-Fan -norm composite optimization
Yulan Liu, Shaohua Pan, Wen Song
This paper concerns the tilt stability for the minimization of the sum of a twice continuously differentiable matrix-valued function and the Ky-Fan -norm. To achieve this goal,…
math.OC2024
Tilt stability of a class of nonlinear semidefinite programs
Yulan Liu, Shaohua Pan, Shujun Bi
This paper concerns the tilt stability of local optimal solutions to a class of nonlinear semidefinite programs, which involves a twice continuously differentiable objective functi…
math.OC2024
Twice epi-differentiablity and parabolic regularity of a class of non-amenable functions
Yulan Liu, Shaohua Pan
This paper concerns the twice epi-differentiability and parabolic regularity of a class of non-amenable functions, the composition of a piecewise twice differentiable (PWTD) functi…