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20242026
most citedOn the free energy of vector spin glasses with non-convex interactions

6 citations · 6 across the 9 of their papers we have counts for

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math.OC2026

PL conditions do not guarantee convergence of gradient descent-ascent dynamics

Jean-Christophe Mourrat

We give an example of a function satisfying a two-sided Polyak-Lojasiewicz condition but for which a gradient descent-ascent flow line fails to converge to the saddle point, circli…

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…