On the Convergence of the SINDy Algorithm
Authors:
- Linan ZhangLZLinan Zhang
- Hayden SchaefferHSHayden Schaeffer
Top Cited Papers
- 1 January 2019
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in Multiscale Modeling & Simulation
- Vol. 17 (3) , 948-972
Abstract
One way to understand time-series data is to identify the underlying dynamical system which generates it. This task can be done by selecting an appropriate model and a set of parameters which best ...Keywords
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Funding Information
- Air Force Office of Scientific Research (FA9550-17-1-0125)
- National Science Foundation (1752116)
This publication has 21 references indexed in Scilit:
- Sparse identification of nonlinear dynamics for rapid model recoveryChaos: An Interdisciplinary Journal of Nonlinear Science, 2018
- Sparse learning of stochastic dynamical equationsThe Journal of Chemical Physics, 2018
- Hidden physics models: Machine learning of nonlinear partial differential equationsJournal of Computational Physics, 2018
- Constrained sparse Galerkin regressionJournal of Fluid Mechanics, 2018
- Sparse identification of a predator-prey system from simulation data of a convection modelPhysics of Plasmas, 2017
- Discovering governing equations from data by sparse identification of nonlinear dynamical systemsProceedings of the National Academy of Sciences, 2016
- Sparse Identification of Nonlinear Dynamics with Control (SINDYc)**SLB acknowledges support from the U.S. Air Force Center of Excellence on Nature Inspired Flight Technologies and Ideas (FA9550-14-1-0398). JLP thanks Bill and Melinda Gates for their active support of the Institute of Disease Modeling and their sponsorship through the Global Good Fund. JNK acknowledges support from the U.S. Air Force Office of Scientific Research (FA9550-09-0174).IFAC-PapersOnLine, 2016
- Iterative hard thresholding for compressed sensingApplied and Computational Harmonic Analysis, 2009
- Iterative Thresholding for Sparse ApproximationsJournal of Fourier Analysis and Applications, 2008
- Automated reverse engineering of nonlinear dynamical systemsProceedings of the National Academy of Sciences, 2007