SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study

Aurelio Raffa Ugolini, Valentina Breschi, Andrea Manzoni, Mara Tanelli
3/1/2024
eess.SYcs.LG

No official code found. Best implementation: aurelio-raffa/benchmarking_sindy (5 stars, last commit 2024-05-16).

Abstract

In this work we analyze the effectiveness of the Sparse Identification of Nonlinear Dynamics (SINDy) technique on three benchmark datasets for nonlinear identification, to provide a better understanding of its suitability when tackling real dynamical systems. While SINDy can be an appealing strategy for pursuing physics-based learning, our analysis highlights difficulties in dealing with unobserved states and non-smooth dynamics. Due to the ubiquity of these features in real systems in general, and control applications in particular, we complement our analysis with hands-on approaches to tackle these issues in order to exploit SINDy also in these challenging contexts.

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@article{ugolini2024sindy,
  title  = {SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study},
  author = {Aurelio Raffa Ugolini and Valentina Breschi and Andrea Manzoni and Mara Tanelli},
  year   = {2024},
  eprint = {2403.00578},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2403.00578v1}
}

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