Qingsong Wang

collaborators

4 papers

math.MG2026

Vietoris--Rips Coindex Thresholds for Round Spheres: Spherical Joins and Chromatic Obstructions for Gromov--Hausdorff Distances

Sunhyuk Lim, Facundo Mémoli, Qingsong Wang

For $0 \leq m \leq n$ , let $c_{m, n}$ be the infimum of scales at which the Vietoris--Rips filtration of the round sphere $S^{m}$ admits a continuous odd map from $S^{n}$ .…

math.DG2026

Balanced Bismut torsion-parallel fourfolds with constant holomorphic sectional curvature

Qingsong Wang, Fangyang Zheng

An old conjecture in non-Kähler geometry states that, if a compact Hermitian manifold has constant holomorphic sectional curvature, then the metric must be Kähler (when the constan…

cs.LG2024

Elucidating Flow Matching ODE Dynamics with Respect to Data Geometries and Denoisers

Zhengchao Wan, Qingsong Wang, Gal Mishne +1

Flow matching (FM) models extend ODE sampler based diffusion models into a general framework, significantly reducing sampling steps through learned vector fields. However, the theo…

math.AT2024

Vietoris--Rips Contractibility for Dense Subsets of Finite-Dimensional Normed Spaces

Qingsong Wang, Ling Zhou

Let $Y$ be a $δ$ -dense subset of a finite-dimensional normed space $X$ , so every point of $X$ is at distance at most $δ$ from some point of $Y$ . We prove that the open Vietoris--Ri…