6 citations · 10 across the 13 of their papers we have counts for
14 papers
A Relaxation Method for Nonsmooth Nonlinear Optimization with Binary Constraints
Lianghai Xiao, Yitian Qian, Shaohua Pan
We study binary optimization problems of the form \( \min_{x\in\{-1,1\}^n} f(Ax-b) \) with possibly nonsmooth loss \(f\). Following the lifted rank-one semidefinite programming (SD…
An inexact variable metric proximal linearization method for composite optimization on manifolds
Hao He, Ruyu Liu, Yitian Qian +1
This paper concerns the minimization of the composition of a nonsmooth convex function and a mapping over a -smooth embedded closed submanifo…
GLL-type Nonmonotone Descent Methods Revisited under Kurdyka-Łojasiewicz Property
Yitian Qian, Ting Tao, Shaohua Pan +1
The purpose of this paper is to extend the full convergence results of the classic GLL-type (Grippo-Lampariello-Lucidi) nonmonotone methods to nonconvex and nonsmooth optimization.…
Convergence of ZH-type nonmonotone descent method for Kurdyka-Łojasiewicz optimization problems
Yitian Qian, Ting Tao, Shaohua Pan +1
We propose a novel iterative framework for minimizing a proper lower semicontinuous Kurdyka-Łojasiewicz (KL) function . It comprises a Zhang-Hager (ZH-type) nonmonotone decrease…
Convergence of the majorized PAM method with subspace correction for low-rank composite factorization model
Ting Tao, Yitian Qian, Shaohua Pan
This paper focuses on the convergence certificates of the majorized proximal alternating minimization (PAM) method with subspace correction, proposed in \cite{TaoQianPan22} for the…
Error Bounds for Rank-one Double Nonnegative Reformulations of QAP and Exact Penalties
Yitian Qian, Shaohua Pan, Shujun Bi +1
This paper focuses on the error bounds for several equivalent rank-one doubly nonnegative (DNN) conic reformulations of the quadratic assignment problem (QAP), a class of challengi…
An inexact -order regularized proximal Newton method for nonconvex composite optimization
Ruyu Liu, Shaohua Pan, Yitian Qian
This paper concerns the composite problem of minimizing the sum of a twice continuously differentiable function and a nonsmooth convex function. For this class of nonconvex and…
A relaxation method for binary optimizations on constrained Stiefel manifold
Lianghai Xiao, Yitian Qian, Shaohua Pan
This paper focuses on a class of binary orthogonal optimization problems frequently arising in semantic hashing. Consider that this class of problems may have an empty feasible set…
A Superlinear Convergence Framework for Kurdyka-Łojasiewicz Optimization
Yitian Qian, Shaohua Pan
This work extends the iterative framework proposed by Attouch et al. (in Math. Program. 137: 91-129, 2013) for minimizing a nonconvex and nonsmooth function so that the generat…
Convergence of a class of nonmonotone descent methods for KL optimization problems
Yitian Qian, Shaohua Pan
This paper is concerned with a class of nonmonotone descent methods for minimizing a proper lower semicontinuous KL function , which generates a sequence satisfying a nonmonoton…
Error bound and exact penalty method for optimization problems with nonnegative orthogonal constraint
Yitian Qian, Shaohua Pan, Lianghai Xiao
This paper is concerned with a class of optimization problems with the nonnegative orthogonal constraint, in which the objective function is -smooth on an open set containing th…
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…
Column -norm regularized factorization model of low-rank matrix recovery and its computation
Ting Tao, Yitian Qian, Shaohua Pan
This paper is concerned with the column -regularized factorization model of low-rank matrix recovery problems and its computation. The column -norm of facto…
An inexact PAM method for computing Wasserstein barycenter with unknown supports
Yitian Qian, Shaohua Pan
Wasserstein barycenter is the centroid of a collection of discrete probability distributions which minimizes the average of the -Wasserstein distance. This paper focuses on…