Joint sparse least squares via generalized fused lasso penalty for identifying nonlinear dynamical systems

Y Lu, W Xu, L Niu, W Zhang, M Yuan - Nonlinear Dynamics, 2024 - Springer
This paper proposes a joint sparse least-square model that utilizes a generalized fused
lasso penalty to jointly identify governing equations of nonlinear dynamical systems from …

A robust sparse identification method for nonlinear dynamic systems affected by non-stationary noise

Z Hao, C Yang, K Huang - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
In the field of science and engineering, identifying the nonlinear dynamics of systems from
data is a significant yet challenging task. In practice, the collected data are often …

Exact identification of nonlinear dynamical systems by Trimmed Lasso

SL Kiser, M Guskov, M Rébillat, N Ranc - arXiv preprint arXiv:2308.01891, 2023 - arxiv.org
Identification of nonlinear dynamical systems has been popularized by sparse identification
of the nonlinear dynamics (SINDy) via the sequentially thresholded least squares (STLS) …

Sparse identification of nonlinear dynamical systems via non-convex penalty least squares

Y Lu, W Xu, Y Jiao, M Yuan - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
This paper proposes a non-convex penalty regression method to identify governing
equations of nonlinear dynamical systems from noisy state measurements. The idea to …

Sparse identification of nonlinear dynamical systems via reweighted ℓ1-regularized least squares

A Cortiella, KC Park, A Doostan - Computer Methods in Applied Mechanics …, 2021 - Elsevier
This work proposes an iterative sparse-regularized regression method to recover governing
equations of nonlinear dynamical systems from noisy state measurements. The method is …

Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics

X Dong, YL Bai, WD Wan - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
Numerous researches have shown that there are three main challenges in data-driven
model identification methods: high-dimensional measurements, system complexity and …

Sparse identification of dynamical systems by reweighted l1-regularized least absolute deviation regression

X He, ZK Sun - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
This work proposes a generalized methodology for sparse identification of dynamical
systems (SID), utilizing reweighted l 1-regularized least absolute deviation (LAD) regression …

A priori denoising strategies for sparse identification of nonlinear dynamical systems: A comparative study

A Cortiella, KC Park, A Doostan - … of Computing and …, 2023 - asmedigitalcollection.asme.org
In recent years, identification of nonlinear dynamical systems from data has become
increasingly popular. Sparse regression approaches, such as sparse identification of …

Sparse least squares via fractional function group fractional function penalty for the identification of nonlinear dynamical systems

Y Lu, Y Hu, Y Qiao, M Yuan, W Xu - Chaos, Solitons & Fractals, 2024 - Elsevier
This work proposes a method called fractional function group fractional function penalty
sparse least squares to identify nonlinear dynamical systems. It integrates least squares with …

Regularized least absolute deviation-based sparse identification of dynamical systems

F Jiang, L Du, F Yang, ZC Deng - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
This work develops a regularized least absolute deviation-based sparse identification of
dynamics (RLAD-SID) method to address outlier problems in the classical metric-based loss …