Centre manifold theorem for maps along manifolds of fixed points
Dynamical Systems
2026-04-21 v1 Machine Learning
Abstract
We prove a centre manifold theorem for a map along a manifold-with-boundary of fixed points, and provide an application to the study of gradient descent with large step size on two-layer matrix factorisation problems.
Cite
@article{arxiv.2604.18202,
title = {Centre manifold theorem for maps along manifolds of fixed points},
author = {Lachlan Ewen MacDonald},
journal= {arXiv preprint arXiv:2604.18202},
year = {2026}
}
Comments
28 pages, comments welcome