SINDy-SA framework: enhancing nonlinear system identification with sensitivity analysis

GT Naozuka, HL Rocha, RS Silva, RC Almeida - Nonlinear Dynamics, 2022 - Springer
Abstract Machine learning methods have revolutionized studies in several areas of
knowledge, helping to understand and extract information from experimental data. Recently …

PySINDy: A comprehensive Python package for robust sparse system identification

AA Kaptanoglu, BM de Silva, U Fasel… - arXiv preprint arXiv …, 2021 - arxiv.org
Automated data-driven modeling, the process of directly discovering the governing
equations of a system from data, is increasingly being used across the scientific community …

SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics

K Kaheman, JN Kutz… - Proceedings of the …, 2020 - royalsocietypublishing.org
Accurately modelling the nonlinear dynamics of a system from measurement data is a
challenging yet vital topic. The sparse identification of nonlinear dynamics (SINDy) algorithm …

Learning sparse nonlinear dynamics via mixed-integer optimization

D Bertsimas, W Gurnee - Nonlinear Dynamics, 2023 - Springer
Discovering governing equations of complex dynamical systems directly from data is a
central problem in scientific machine learning. In recent years, the sparse identification of …

Pysindy: a python package for the sparse identification of nonlinear dynamics from data

BM de Silva, K Champion, M Quade… - arXiv preprint arXiv …, 2020 - arxiv.org
PySINDy is a Python package for the discovery of governing dynamical systems models
from data. In particular, PySINDy provides tools for applying the sparse identification of …

Feature engineering to cope with noisy data in sparse identification

T França, AMB Braga, HVH Ayala - Expert Systems with Applications, 2022 - Elsevier
Dynamical systems play a fundamental role related understanding phenomena inherent to
several fields of science. Technological advances over the previous several decades have …

Sparse dynamical system identification with simultaneous structural parameters and initial condition estimation

B Wei - Chaos, Solitons & Fractals, 2022 - Elsevier
Abstract Sparse Identification of Nonlinear Dynamics (SINDy) has been shown to
successfully recover governing equations from data; however, this approach assumes the …

Sparse identification of nonlinear dynamics with side information (SINDy-SI)

GF Machado, M Jones - 2024 American Control Conference …, 2024 - ieeexplore.ieee.org
Modern societies have an abundance of data yet good system models are rare.
Unfortunately, many of the current system identification and machine learning techniques fail …

Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control

U Fasel, JN Kutz, BW Brunton… - Proceedings of the …, 2022 - royalsocietypublishing.org
Sparse model identification enables the discovery of nonlinear dynamical systems purely
from data; however, this approach is sensitive to noise, especially in the low-data limit. In this …

Benchmarking sparse system identification with low-dimensional chaos

AA Kaptanoglu, L Zhang, ZG Nicolaou, U Fasel… - Nonlinear …, 2023 - Springer
Sparse system identification is the data-driven process of obtaining parsimonious differential
equations that describe the evolution of a dynamical system, balancing model complexity …