Centre manifold theorem for maps along manifolds of fixed points
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914491767193600 |
|---|---|
| author | MacDonald, Lachlan Ewen |
| author_facet | MacDonald, Lachlan Ewen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18202 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Centre manifold theorem for maps along manifolds of fixed points MacDonald, Lachlan Ewen Dynamical Systems Machine Learning 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. |
| title | Centre manifold theorem for maps along manifolds of fixed points |
| topic | Dynamical Systems Machine Learning |
| url | https://arxiv.org/abs/2604.18202 |