activity
20242026
most citedSolving moment and polynomial optimization problems on Sobolev spaces

1 citations · 1 across the 7 of their papers we have counts for

collaborators

9 papers

cs.AI2026

Minimax Optimal Variance-Aware Regret Bounds for Multinomial Logistic MDPs

Pierre Boudart, Pierre Gaillard, Alessandro Rudi

We study reinforcement learning for episodic Markov Decision Processes (MDPs) whose transitions are modelled by a multinomial logistic (MNL) model. Existing algorithms for MNL mixt…

cs.LG2025

Dynamic Regret Reduces to Kernelized Static Regret

Andrew Jacobsen, Alessandro Rudi, Francesco Orabona +1

We study dynamic regret in online convex optimization, where the objective is to achieve low cumulative loss relative to an arbitrary benchmark sequence. By observing that competin…

stat.ML2025

Enjoying Non-linearity in Multinomial Logistic Bandits: A Minimax-Optimal Algorithm

Pierre Boudart, Pierre Gaillard, Alessandro Rudi

We consider the multinomial logistic bandit problem in which a learner interacts with an environment by selecting actions to maximize expected rewards based on probabilistic feedba…

stat.ML2025

Safely Learning Controlled Stochastic Dynamics

Luc Brogat-Motte, Alessandro Rudi, Riccardo Bonalli

We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regi…

stat.ML2024

Learning Controlled Stochastic Differential Equations

Luc Brogat-Motte, Riccardo Bonalli, Alessandro Rudi

We study the problem of learning controlled stochastic differential equations (SDEs) \[ dX_t = b(t,X_t,u_t)\,dt + σ(t,X_t,u_t)\,dW_t, \] whose drift and diffusion depend nonlinearl…

stat.ML2024

Generalization Bounds of Surrogate Policies for Combinatorial Optimization Problems

Pierre-Cyril Aubin-Frankowski, Yohann De Castro, Axel Parmentier +1

Many real-world decision problems require solving, again and again, combinatorial optimization instances drawn from a common distribution. A recent line of structured learning meth…

cs.LG2024

Structured Prediction in Online Learning

Pierre Boudart, Alessandro Rudi, Pierre Gaillard

We study a theoretical and algorithmic framework for structured prediction in the online learning setting. The problem of structured prediction, i.e. estimating function where the…

stat.ML2024

Closed-form Filtering for Non-linear Systems

Théophile Cantelobre, Carlo Ciliberto, Benjamin Guedj +1

Sequential Bayesian Filtering aims to estimate the current state distribution of a Hidden Markov Model, given the past observations. The problem is well-known to be intractable for…

math.OC2024★ 1 cited

Solving moment and polynomial optimization problems on Sobolev spaces

Didier Henrion, Alessandro Rudi

Using standard tools of harmonic analysis, we state and solve the problem of moments for non-negative measures supported on the unit ball of a Sobolev space of multivariate periodi…