The Kolmogorov infinite dimensional equation in a Hilbert space via deep learning methods-Reference-Cited by-同舟云学术

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The Kolmogorov infinite dimensional equation in a Hilbert space via deep learning methods

Published:2023-11 Issue:2 Volume:527 Page:127413
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Castro Javier

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference38 articles.

1. Îto formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties;Albeverio;Random Oper. Stoch. Equ.,2017

2. A state-of-the-art survey on deep learning theory and architectures;Zahangir Alom;Electronics,2019

3. Backward stochastic differential equations and integral-partial differential equations;Barles;Stoch. Stoch. Rep.,1996

4. Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations;Beck;J. Nonlinear Sci.,2019

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1. The Calderón’s Problem via DeepONets;Vietnam Journal of Mathematics;2024-01-05

2. Operator learning;Handbook of Numerical Analysis;2024

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