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math.ST2026
Expectation-Maximization algorithm to estimate the forcing parameter of a nonlinear McKean-Vlasov diffusion
Eduardo Gutierrez-Turner, Kerlyns Martinez, Hector Olivero
In this article, we address the problem of estimating a forcing parameter in a stochastic differential equation inspired by a model that describes instantaneous turbulent kinetic e…
math.PR2026
Error analysis for learning fractional stochastic differential equations with applications in neural approximations
Mahdi Dehshiri, Kerlyns Martinez, Lauri Viitasaari
This paper develops a framework for the error analysis in nonparametric model fitting of fractional stochastic differential equations based on discrete observations. We identify an…