A center manifold theorem is established for dynamical systems featuring a manifold of fixed points with boundary, and applied to large-step-size gradient descent on two-layer matrix factorization.
TheStable, Center-Stable, Center, Center-Unstable, UnstableManifolds.Journal of Differential Equations, 3:546–570
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Centre manifold theorem for maps along manifolds of fixed points
A center manifold theorem is established for dynamical systems featuring a manifold of fixed points with boundary, and applied to large-step-size gradient descent on two-layer matrix factorization.