Learning Iterated Function Systems from Time Series of Partial Observations

Emilia Gibson; Jeroen S. W. Lamb

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arXiv · 2508.13794

Learning Iterated Function Systems from Time Series of Partial Observations

Emilia Gibson·Jeroen S. W. Lamb

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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.

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Emilia Gibson, Jeroen S. W. Lamb. 2025-08-19. Learning Iterated Function Systems from Time Series of Partial Observations. https://arxiv.org/abs/2508.13794

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