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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…
math.OC2026
Oscillating solutions to the mean-field Langevin descent-ascent flow
Jean-Christophe Mourrat, Loucas Pillaud-Vivien
We present a counterexample to the statement of convergence of the mean-field Langevin descent-ascent flow on . We consider payoff functions that are shaped as a doub…