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Autori principali: Ugolini, Aurelio Raffa, Breschi, Valentina, Manzoni, Andrea, Tanelli, Mara
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2403.00578
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author Ugolini, Aurelio Raffa
Breschi, Valentina
Manzoni, Andrea
Tanelli, Mara
author_facet Ugolini, Aurelio Raffa
Breschi, Valentina
Manzoni, Andrea
Tanelli, Mara
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00578
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study
Ugolini, Aurelio Raffa
Breschi, Valentina
Manzoni, Andrea
Tanelli, Mara
Systems and Control
Machine Learning
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.
title SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study
topic Systems and Control
Machine Learning
url https://arxiv.org/abs/2403.00578