1 citations · 2 across the 8 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
cs.LG2026
The Multiple Timescales of Gradient Descent on the Edge of Stability: A Perturbative Derivation of the Central Flow
Raphaël Berthier
The central flow of Cohen et al. (2025) is an empirically accurate continuous-time model of gradient descent at the edge of stability in deep learning, However, its derivation is h…
math.OC2026
Incremental Learning in Mirror Flows
Raphaël Berthier, Loucas Pillaud-Vivien
We study mirror flows generated by a convex quadratic loss and a general convex lower semicontinuous mirror potential. We show that, when initialized near the boundary of the domai…