From the 1 of 668 papers with an AI index.
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6 papers · 2 filters
Recursive Estimation of a Failure Probability for a Lipschitz Function
Lucie Bernard, Albert Cohen, Arnaud Guyader +1
Let g : = [0, 1] d R denote a Lipschitz function that can be evaluated at each point, but at the price of a heavy computational time. Let X stand for a random var…
Uniform minorization condition and convergence bounds for discretizations of kinetic Langevin dynamics
Alain Durmus, Aurélien Enfroy, Éric Moulines +1
We study the convergence in total variation and -norm of discretization schemes of the underdamped Langevin dynamics. Such algorithms are very popular and commonly used in molec…
Convergence Rate of the Euler-Maruyama Scheme Applied to Diffusion Processes with L Q -- L Drift Coefficient and Additive Noise
Benjamin Jourdain, Stéphane Menozzi
We are interested in the time discretization of stochastic differential equations with additive d-dimensional Brownian noise and L q -- L drift coefficient when the condition d…
Weighted -contractivity of Langevin dynamics with singular potentials
Evan Camrud, David P. Herzog, Gabriel Stoltz +1
Convergence to equilibrium of underdamped Langevin dynamics is studied under general assumptions on the potential allowing for singularities. By modifying the direct approach t…
Limiting Behavior Of Additive Functionals On The Stable Tree
Michel Nassif
We study the shape of the normalized stable Lévy tree near its root. We show that, when zooming in at the root at the proper speed with a scaling depending on the ind…
Targeted Vaccination Strategies for an Infinite-dimensional SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We formalize and study the problem of optimal allocation strategies for a (perfect) vaccine in the infinite-dimensional SIS model. The question may be viewed as a bi-objective mini…