Zobrazeno 1 - 10
of 421
pro vyhledávání: '"Lelièvre Tony"'
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 73, Pp 238-256 (2023)
Molecular systems often remain trapped for long times around some local minimum of the potential energy function, before switching to another one – a behavior known as metastability. Simulating transition paths linking one metastable state to anoth
Externí odkaz:
https://doaj.org/article/ebb4f94197b34066b9288c6b295d022b
This is a preliminary version. Markov chain Monte Carlo samplers based on discretizations of (overdamped) Langevin dynamics are commonly used in the Bayesian inference and computational statistical physics literature to estimate high-dimensional inte
Externí odkaz:
http://arxiv.org/abs/2410.00525
We consider kinetic SDEs with low regularity coefficients in the setting recently introduced in [6]. For the solutions to such equations, we first prove a Harnack inequality. Using the abstract approach of [5], this inequality then allows us to prove
Externí odkaz:
http://arxiv.org/abs/2410.01042
We study the Fleming--Viot particle system in a discrete state space, in the regime of a fast selection mechanism, namely with killing rates which grow to infinity. This asymptotics creates a time scale separation which results in the formation of a
Externí odkaz:
http://arxiv.org/abs/2407.02054
We consider the problem of sampling a high dimensional multimodal target probability measure. We assume that a good proposal kernel to move only a subset of the degrees of freedoms (also known as collective variables) is known a priori. This proposal
Externí odkaz:
http://arxiv.org/abs/2405.18160
Overdamped Langevin dynamics are reversible stochastic differential equations which are commonly used to sample probability measures in high-dimensional spaces, such as the ones appearing in computational statistical physics and Bayesian inference. B
Externí odkaz:
http://arxiv.org/abs/2404.12087
We study the narrow escape problem in the disk, which consists in identifying the first exit time and first exit point distribution of a Brownian particle from the ball in dimension 2, with reflecting boundary conditions except on small disjoint wind
Externí odkaz:
http://arxiv.org/abs/2401.06903
Autor:
Taumhas, Yonah Conjungo, Dusson, Geneviève, Ehrlacher, Virginie, Lelièvre, Tony, Madiot, François
In the aim of reducing the computational cost of the resolution of parameter-dependent eigenvalue problems, a model order reduction (MOR) procedure is proposed. We focus on the case of non-self-adjoint generalized eigenvalue problems, such as the sta
Externí odkaz:
http://arxiv.org/abs/2311.13902
Finding collective variables to describe some important coarse-grained information on physical systems, in particular metastable states, remains a key issue in molecular dynamics. Recently, machine learning techniques have been intensively used to co
Externí odkaz:
http://arxiv.org/abs/2310.03492
Autor:
Taumhas, Yonah Conjungo, Dusson, Geneviève, Ehrlacher, Virginie, Lelièvre, Tony, Madiot, François
In this article, we propose a reduced basis method for parametrized non-symmetric eigenvalue problems arising in the loading pattern optimization of a nuclear core in neutronics. To this end, we derive a posteriori error estimates for the eigenvalue
Externí odkaz:
http://arxiv.org/abs/2307.05978