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math.OC2024
On the SAGA algorithm with decreasing step
Luis Fredes, Bernard Bercu, Eméric Gbaguidi
Stochastic optimization naturally appear in many application areas, including machine learning. Our goal is to go further in the analysis of the Stochastic Average Gradient Acceler…
stat.ME2024
Regularized estimation of Monge-Kantorovich quantiles for spherical data
Bernard Bercu, Jérémie Bigot, Gauthier Thurin
Tools from optimal transport (OT) theory have recently been used to define a notion of quantile function for directional data. In practice, regularization is mandatory for applicat…
math.PR2024
A martingale approach to Gaussian fluctuations and laws of iterated logarithm for Ewens-Pitman model
Bernard Bercu, Stefano Favaro
The Ewens-Pitman model refers to a distribution for random partitions of , which is indexed by a pair of parameters and , with correspo…