Regression on particle systems connected to mean-field SDEs with applications

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Date
2017
Volume
2464
Issue
Journal
Series Titel
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Abstract

In this note we consider the problem of using regression on interacting particles to compute conditional expectations for McKean-Vlasov SDEs. We prove general result on convergence of linear regression algorithms and establish the corresponding rates of convergence. Application to optimal stopping and variance reduction are considered.

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Keywords
McKean-Vlasov equations, optimal stopping, regression, Bellman principle
Citation
Belomestny, D., & Schoenmakers, J. G. M. (2017). Regression on particle systems connected to mean-field SDEs with applications (Vol. 2464). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2464
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