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Reconstructing Attractors with Autoencoders

Adaptation and Self-Organizing Systems 2024-04-29 v1 Data Analysis, Statistics and Probability
Authors: Facundo Fainstein , Gabriel B. Mindlin , Pablo Groisman
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Abstract

We show how to train an autoencoder to reconstruct an attractor from recorded footage, preserving the topology of the underlying phase space. This is explicitly demonstrated for the classic finite-amplitude Lorenz atmospheric convection problem.

Cite

@article{arxiv.2404.16855,
  title  = {Reconstructing Attractors with Autoencoders},
  author = {Facundo Fainstein and Gabriel B. Mindlin and Pablo Groisman},
  journal= {arXiv preprint arXiv:2404.16855},
  year   = {2024}
}

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