2 papers
math.GR2026
A Diffeomorphism Groupoid and Algebroid Framework for Discontinuous Image Registration
Lili Bao, Bin Xiao, Shihui Ying +1
In this paper, we propose a novel mathematical framework for piecewise diffeomorphic image registration that involves discontinuous sliding motion using a diffeomorphism groupoid a…
math.OC2025
Riemannian Bilevel Optimization with Gradient Aggregation
Zhuo Chen, Xinjian Xu, Shihui Ying +1
We study bilevel optimization on Riemannian manifolds when the lower-level solution set is a positive-dimensional submanifold, so that implicit differentiation fails. We propose Ri…