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5 papers

math.OC2026

First-Order Methods for Distributionally Robust Constrained Optimization

Hubert Villuendas, Mathieu Besançon, Jérôme Malick

The paper introduces a stochastic algorithm that combines entropic regularization with a stochastic Frank‑Wolfe method to solve Wasserstein distributionally robust optimization pro…

cs.LG2026

: a library for Wasserstein distributionally robust machine learning

Florian Vincent, Waïss Azizian, Franck Iutzeler +1

We present skwdro, a Python library for training robust machine learning models. The library is based on distributionally robust optimization using Wasserstein distances, popular i…

math.OC2025

The global convergence time of stochastic gradient descent in non-convex landscapes: Sharp estimates via large deviations

Waïss Azizian, Franck Iutzeler, Jérôme Malick +1

In this paper, we examine the time it takes for stochastic gradient descent (SGD) to reach the global minimum of a general, non-convex loss function. We approach this question thro…

math.OC2025

Knapsack with compactness: a semidefinite approach

Hubert Villuendas, Mathieu Besançon, Jérôme Malick

The min-knapsack problem with compactness constraints extends the classical knapsack problem, in the case of ordered items, by introducing a restriction ensuring that they cannot b…

math.OC2025

Universal generalization guarantees for Wasserstein distributionally robust models

Tam Le, Jérôme Malick

Distributionally robust optimization has emerged as an attractive way to train robust machine learning models, capturing data uncertainty and distribution shifts. Recent statistica…