6 citations · 9 across the 13 of their papers we have counts for
13 papers
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…
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,…
The Proximal Operator of the Piece-wise Exponential Function and Its Application in Compressed Sensing
Yulan Liu, Yuyang Zhou, Rongrong Lin
This paper characterizes the proximal operator of the piece-wise exponential function with a given shape parameter , which is a popular nonconvex surrog…
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…
Calmness of partial perturbation to composite rank constraint systems and its applications
Yitian Qian, Shaohua Pan, Yulan Liu
This paper is concerned with the calmness of a partial perturbation to the composite rank constraint system, an intersection of the rank constraint set and a general closed set, wh…
Second-order optimality conditions for SDCMPCC and application to rank optimization problems
Yulan Liu, Shaohua Pan
This paper is concerned with second-order optimality conditions for the mathematical program with semidefinite cone complementarity constraints (SDCMPCC).To achieve this goal, we f…
Several classes of stationary points for rank regularized minimization problems
Yulan Liu, Shaohua Pan
For the rank regularized minimization problem, we introduce several kinds of stationary points by the problem itself and its equivalent reformulations including the mathematical pr…
Subregularity of subdifferential mappings relative to the critical set and KL property of exponent 1/2
Shaohua Pan, Yulan Liu
For a proper extended real-valued function, this work focuses on the relationship between the subregularity of its subdifferential mapping relative to the critical set and its KL p…
Equivalent Lipschitz surrogates for zero-norm and rank optimization problems
Yulan Liu, Shujun Bi, Shaohua Pan
This paper proposes a mechanism to produce equivalent Lipschitz surrogates for zero-norm and rank optimization problems by means of the global exact penalty for their equivalent ma…
Strong calmness of perturbed KKT system for a class of conic programming with degenerate solutions
Yulan Liu, Shaohua Pan
This paper is concerned with the strong calmness of the KKT solution mapping for a class of canonically perturbed conic programming, which plays a central role in achieving fast co…
Computation of graphical derivatives of normal cone maps to a class of conic constraint sets
Yulan Liu, Ying Sun, Shaohua Pan
This paper concerns with the graphical derivative of the normals to the conic constraint , where is a twice continuously differentiable ma…
Regular and limiting normal cones for the subdifferential mapping graph of nuclear norm
Yulan Liu, Shaohua Pan
This paper focuses on the characterization for the regular and limiting normal cones to the graph of the subdifferential mapping of the nuclear norm, which is essential to derive o…
Locally upper Lipschitz of the perturbed KKT system of Ky Fan -norm matrix conic optimization problems
Yulan Liu, Shaohua Pan
This note is concerned with the nonlinear Ky Fan -norm matrix conic optimization problems, which include the nuclear norm regularized minimization problem as a special case. For…