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E. Regis

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Preprint Aug 2026

Variational Structure at the Edge of Stability

When discrete-time optimizers operate at the edge of stability, they exhibit near-two-periodic behavior. These oscillatory dynamics are reminiscent of conservative systems, such as the dynamics generated by symplectic integrators. However, a precise formulation of the connection between discrete-time optimizers at the...

E. Regis · 0 citations

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