10 citations · 16 across the 8 of their papers we have counts for
8 papers · 1 filter
Error Bounds and a Smoothing Penalty Method for Binary Orthogonal Optimization
Ruikai Lv, Lianghai Xiao
Binary orthogonal optimization arises in semantic hashing, orthogonal binary projection, and Hadamard matrix design. Existing methods often handle binarity and orthogonality separa…
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…
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…
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…
Complementarity and Related Problems
Lianghai Xiao
In this thesis, we present results related to complementarity problems. We study the linear complementarity problems on extended second order cones. We convert a linear complementa…
On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets
Orizon P. Ferreira, Sándor Z. Németh, Lianghai Xiao
In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. Sufficient conditions for spherical quasi-convexity on sphericall…
On the spherical quasi-convexity of quadratic functions
O. P. Ferreira, S. Z. Németh, L. Xiao
In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadrat…
Linear complementarity problems on extended second order cones
S. Z. Németh, L. Xiao
In this paper, we study the linear complementarity problems on extended second order cones. We convert a linear complementarity problem on an extended second order cone into a mixe…