Open Access
2017 A note on continuous-time stochastic approximation in infinite dimensions
Jan Seidler, František Žák
Electron. Commun. Probab. 22: 1-13 (2017). DOI: 10.1214/17-ECP67

Abstract

We find sufficient conditions for convergence of a continuous-time Robbins-Monro type stochastic approximation procedure in infinite dimensional Hilbert spaces in terms of Lyapunova functions, the variational approach to stochastic partial differential equations being used as the main tool.

Citation

Download Citation

Jan Seidler. František Žák. "A note on continuous-time stochastic approximation in infinite dimensions." Electron. Commun. Probab. 22 1 - 13, 2017. https://doi.org/10.1214/17-ECP67

Information

Received: 31 October 2016; Accepted: 14 June 2017; Published: 2017
First available in Project Euclid: 23 June 2017

zbMATH: 1368.60068
MathSciNet: MR3666857
Digital Object Identifier: 10.1214/17-ECP67

Subjects:
Primary: 60H15 , 62L20

Keywords: stochastic approximation , stochastic parabolic problems , variational solutions

Back to Top