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StPINNs - Deep learning framework for approximation of stochastic differential equations

Numerical Analysis 2026-03-31 v3 Numerical Analysis

Abstract

In this paper, we introduce the SPINNs (stochastic physics-informed neural networks) in a systematic manner. This provides a mathematical framework for approximating the solution of stochastic differential equations (SDEs) driven by Levy noise using artificial neural networks.

Keywords

Cite

@article{arxiv.2512.14258,
  title  = {StPINNs - Deep learning framework for approximation of stochastic differential equations},
  author = {Marcin Baranek and Paweł Przybyłowicz},
  journal= {arXiv preprint arXiv:2512.14258},
  year   = {2026}
}
R2 v1 2026-07-01T08:27:06.947Z