161 citations · 2k across the 112 of their papers we have counts for
10 papers · 1 filter
Reversible Stratonovich perturbations for accelerating convergence to equilibrium of Langevin dynamics
Guillaume Louis, Grigorios A. Pavliotis, Gilles Vilmart
In this paper, we study the problem of sampling from a probability distribution using Langevin-type dynamics. We consider overdamped Langevin dynamics perturbed by adding a Straton…
Bayesian statistical inverse problems for a coupled Fokker-Planck-Darcy system
Grigorios A. Pavliotis, Andrew M. Stuart, Andrea Zanoni
We study the nonparametric statistical inverse problem of recovering the space-dependent permittivity in a coupled Fokker-Planck-Darcy system from discrete, noisy observations of t…
Control Strategies for Multi-Species Wasserstein Gradient Flows
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
We stabilize stationary states of coupled multi-species McKean--Vlasov equations by feedback control, extending a spectral approach based on the Wasserstein Hessian and a Riccati e…
On the diffusive-mean field limit of a kinetic weakly interacting particle system
Raphaël Gastaldello, Grigorios A. Pavliotis, Gabriel Stoltz +1
We study the joint diffusive-mean field limit for a system of weakly interacting kinetic Langevin dynamics, extending the results of Delgadino, Gvalani and Pavliotis (Arch. Ration.…
Diffusion Models Preferentially Memorize Prototypical Examples or: Why Does My Diffusion Model Love Slop?
Marta Aparicio Rodriguez, Anastasia Borovykh, Grigorios A. Pavliotis +1
Generative models have a persistent limitation: their tendency to memorize training data can create legal liabilities and erode creative diversity. Understanding which samples are…
Recursive Maximum Likelihood Estimation for Interacting Particle Systems using Virtual Particles
Louis Sharrock, Nikolas Kantas, Grigorios A. Pavliotis
We study recursive maximum likelihood estimation for stochastic interacting particle systems based on continuous observation of a single particle. In this regime, consistent estima…