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20172026
most citedStatistical Optimality of Stochastic Gradient Descent on Hard Learning Problems through Multiple Passes

35 citations · 81 across the 22 of their papers we have counts for

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math.NA2026

Minimax-Optimal Early Stopping for SGD via the Discrepancy Principle

Tim Jahn, Loucas Pillaud-Vivien, Adrien Schertzer

We study early stopping for stochastic gradient descent with a constant step size applied to noisy linear inverse problems with polynomially decaying spectrum. The iteration is sto…

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…