13 citations · 13 across the 1 of their papers we have counts for
5 papers
Quantitative Propagation of Chaos for SGD in Wide Neural Networks
Valentin De Bortoli, Alain Durmus, Xavier Fontaine +1
In this paper, we investigate the limiting behavior of a continuous-time counterpart of the Stochastic Gradient Descent (SGD) algorithm applied to two-layer overparameterized neura…
Convergence rates and approximation results for SGD and its continuous-time counterpart
Xavier Fontaine, Valentin De Bortoli, Alain Durmus
This paper proposes a thorough theoretical analysis of Stochastic Gradient Descent (SGD) with non-increasing step sizes. First, we show that the recursion defining SGD can be prova…
Online A-Optimal Design and Active Linear Regression
Xavier Fontaine, Pierre Perrault, Michal Valko +1
We consider in this paper the problem of optimal experiment design where a decision maker can choose which points to sample to obtain an estimate of the hidden parameter $β…
An adaptive stochastic optimization algorithm for resource allocation
Xavier Fontaine, Shie Mannor, Vianney Perchet
We consider the classical problem of sequential resource allocation where a decision maker must repeatedly divide a budget between several resources, each with diminishing returns.…
Regularized Contextual Bandits
Xavier Fontaine, Quentin Berthet, Vianney Perchet
We consider the stochastic contextual bandit problem with additional regularization. The motivation comes from problems where the policy of the agent must be close to some baseline…