135 citations · 234 across the 30 of their papers we have counts for
11 papers · 1 filter
An efficient Monte Carlo scheme for Zakai equations
Christian Beck, Sebastian Becker, Patrick Cheridito +2
In this paper we develop a numerical method for efficiently approximating solutions of certain Zakai equations in high dimensions. The key idea is to transform a given Zakai SPDE i…
Langevin dynamics based algorithm e-THO POULA for stochastic optimization problems with discontinuous stochastic gradient
Dong-Young Lim, Ariel Neufeld, Sotirios Sabanis +1
We introduce a new Langevin dynamics based algorithm, called e-THO POULA, to solve optimization problems with discontinuous stochastic gradients which naturally appear…
Chaotic Hedging with Iterated Integrals and Neural Networks
Ariel Neufeld, Philipp Schmocker
In this paper, we derive an -chaos expansion based on iterated Stratonovich integrals with respect to a given exponentially integrable continuous semimartingale. By omitting t…
Non-asymptotic convergence bounds for modified tamed unadjusted Langevin algorithm in non-convex setting
Ariel Neufeld, Matthew Ng Cheng En, Ying Zhang
We consider the problem of sampling from a high-dimensional target distribution on with density proportional to using explicit numerical…
Markov Decision Processes under Model Uncertainty
Ariel Neufeld, Julian Sester, Mario Šikić
We introduce a general framework for Markov decision problems under model uncertainty in a discrete-time infinite horizon setting. By providing a dynamic programming principle we o…
Multilevel Picard approximation algorithm for semilinear partial integro-differential equations and its complexity analysis
Ariel Neufeld, Sizhou Wu
In this paper we introduce a multilevel Picard approximation algorithm for semilinear parabolic partial integro-differential equations (PIDEs). We prove that the numerical approxim…