3 papers
math.OC2026
A unified high-resolution ODE framework for first-order methods
Lixia Wang, Hao Luo
For a generic discrete-time algorithm (DTA): , where is the step size, Lu (Math. Program., 194(1):1061--1112, 2022) proposed an -resolution ordinary differe…
math.MG2025
Upper Bounds for -Distance Subspaces
LiXia Wang, Ke Ye
As a generalization of equiangular lines, equiangular subspaces were first systematically studied by Balla, Dräxler, Keevash and Sudakov in 2017. In this paper, we extend their wo…
math.FA2025
An estimate for positive definite functions on finite abelian groups and its applications
Lixia Wang, Ke Ye
This paper concentrates on positive definite functions on finite abelian groups, which are central to harmonic analysis and related fields. By leveraging the group structure and em…