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PySINDy: A Python package for the sparse identification of nonlinear dynamical systems from data

Type
Articles dans des revues avec comité de lecture
Author
DE SILVA, Brian
300433 University of Washington [Seattle]
CHAMPION, Kathleen
300433 University of Washington [Seattle]
QUADE, Markus
576743 Ambrosys GmbH
LOISEAU, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
KUTZ, J.
300433 University of Washington [Seattle]
BRUNTON, Steven
300433 University of Washington [Seattle]

URI
http://hdl.handle.net/10985/18735
DOI
10.21105/joss.02104
Date
2020
Journal
Journal of Open Source Software

Abstract

Scientists have long quantified empirical observations by developing mathematical models that characterize the observations, have some measure of interpretability, and are capable of making predictions. Dynamical systems models in particular have been widely used to study, explain, and predict system behavior in a wide range of application areas, with examples ranging from Newton’s laws of classical mechanics to the Michaelis-Menten kinetics for modeling enzyme kinetics. While governing laws and equations were traditionally derived by hand, the current growth of available measurement data and resulting emphasis on data-driven modeling motivates algorithmic approaches for model discovery. A number of such approaches have been developed in recent years and have generated widespread interest, including Eureqa (Schmidt & Lipson, 2009), sure independence screening and sparsifying operator (Ouyang, Curtarolo, Ahmetcik, Scheffler, & Ghiringhelli, 2018), and the sparse identification of nonlinear dynamics (SINDy) (Brunton, Proctor, & Kutz, 2016). Maximizing the impact of these model discovery methods requires tools to make them widely accessible to scientists across domains and at various levels of mathematical expertise.

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