Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions

ZW Bezemek, M Heldman - Applied Mathematics & Optimization, 2024 - Springer
We construct an importance sampling method for computing statistics related to rare events
for weakly interacting diffusions. Standard Monte Carlo methods behave exponentially …

Unbiased Approximations for Stationary Distributions of McKean-Vlasov SDEs

E Awadelkarim, NK Chada, A Jasra - arXiv preprint arXiv:2411.11270, 2024 - arxiv.org
We consider the development of unbiased estimators, to approximate the stationary
distribution of Mckean-Vlasov stochastic differential equations (MVSDEs). These are an …

Multilevel Particle Filters for Partially Observed McKean-Vlasov Stochastic Differential Equations

E Awadelkarim, A Jasra - arXiv preprint arXiv:2404.15606, 2024 - arxiv.org
In this paper we consider the filtering problem associated to partially observed McKean-
Vlasov stochastic differential equations (SDEs). The model consists of data that are …

[HTML][HTML] Workshop on Stochastic Control Theory, October 25-26, 2023

A Budhiraja - Workshop on Stochastic Control Theory, 2023 - kth.se
Consider a collection of particles whose state evolution is described through a system of
interacting diffusions in which each particle is driven by an independent individual source of …