Learning Iterated Function Systems from Time Series of Partial Observations

Fuente: arXiv
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Autores principales: Gibson, Emilia, Lamb, Jeroen S. W.
Formato: Preprint
Publicado: 2025
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author Gibson, Emilia
Lamb, Jeroen S. W.
author_facet Gibson, Emilia
Lamb, Jeroen S. W.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13794
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning Iterated Function Systems from Time Series of Partial Observations
Gibson, Emilia
Lamb, Jeroen S. W.
Dynamical Systems
37M10, 37H05, 37H99, 37B10, 37B55, 65P9910
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.
title Learning Iterated Function Systems from Time Series of Partial Observations
topic Dynamical Systems
37M10, 37H05, 37H99, 37B10, 37B55, 65P9910
url https://arxiv.org/abs/2508.13794