English

Learning Iterated Function Systems from Time Series of Partial Observations

Dynamical Systems 2025-08-20 v1

Abstract

We develop a methodology to learn finitely generated random iterated function systems from time-series of partial observations using delay embeddings. We obtain a minimal model representation for the observed dynamics, using a hidden variable representation, that is diffeomorphic to the original system.

Keywords

Cite

@article{arxiv.2508.13794,
  title  = {Learning Iterated Function Systems from Time Series of Partial Observations},
  author = {Emilia Gibson and Jeroen S. W. Lamb},
  journal= {arXiv preprint arXiv:2508.13794},
  year   = {2025}
}
R2 v1 2026-07-01T04:56:42.387Z