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Multilevel Monte Carlo EM scheme for MV-SDEs with small noise (2310.01068v1)
Published 2 Oct 2023 in math.PR
Abstract: In this paper, we estimate the variance of two coupled paths derived with the Multilevel Monte Carlo method combined with the Euler Maruyama discretization scheme for the simulation of McKean-Vlasov stochastic differential equations with small noise. The result often translates into a more efficient method than the standard Monte Carlo method combined with algorithms tailored to the small noise setting.