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Discovering governing equations from observational data remains a fundamental challenge in scientific modeling, particularly when the underlying mathematical structure is unknown. Traditional sparse identification methods like SINDy excel…

Machine Learning · Computer Science 2026-05-12 Mohammad Amin Basiri , Charles Nicholson

Deep Reinforcement Learning (DRL) has received a lot of attention from the research community in recent years. As the technology moves away from game playing to practical contexts, such as autonomous vehicles and robotics, it is crucial to…

Software Engineering · Computer Science 2024-07-15 Matteo Biagiola , Paolo Tonella

This paper proposes a sparse identification of nonlinear dynamics (SINDy) with control and exogenous inputs for highly accurate and reliable prediction. Although SINDy is recognized as a remarkable approach for identifying nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Shuichi Yahagi , Ansei Yonezawa , Hiroki Seto , Heisei Yonezawa , Itsuro Kajiwara

The data-driven discovery of dynamics via machine learning is currently pushing the frontiers of modeling and control efforts, and it provides a tremendous opportunity to extend the reach of model predictive control. However, many leading…

Optimization and Control · Mathematics 2019-03-06 Eurika Kaiser , J. Nathan Kutz , Steven L. Brunton

We perform a sparse identification of nonlinear dynamics (SINDy) for low-dimensionalized complex flow phenomena. We first apply the SINDy with two regression methods, the thresholded least square algorithm (TLSA) and the adaptive Lasso…

Fluid Dynamics · Physics 2021-12-08 Kai Fukami , Takaaki Murata , Kai Zhang , Koji Fukagata

The sparse identification of nonlinear dynamics (SINDy) approach can discover the governing equations of dynamical systems based on measurement data, where the dynamical model is identified as the sparse linear combination of the given…

We introduce Synthetic Environments (SEs) and Reward Networks (RNs), represented by neural networks, as proxy environment models for training Reinforcement Learning (RL) agents. We show that an agent, after being trained exclusively on the…

Machine Learning · Computer Science 2022-02-08 Fabio Ferreira , Thomas Nierhoff , Andreas Saelinger , Frank Hutter

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 work, we leverage the statistical approach of…

Numerical Analysis · Mathematics 2022-05-04 Urban Fasel , J. Nathan Kutz , Bingni W. Brunton , Steven L. Brunton

The combination of machine learning (ML) and sparsity-promoting techniques is enabling direct extraction of governing equations from data, revolutionizing computational modeling in diverse fields of science and engineering. The discovered…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Mohammad Amin Basiri , Sina Khanmohammadi

Sparse regression has emerged as a popular technique for learning dynamical systems from temporal data, beginning with the SINDy (Sparse Identification of Nonlinear Dynamics) framework proposed by arXiv:1509.03580. Quantifying the…

Methodology · Statistics 2023-08-21 Sara Venkatraman , Sumanta Basu , Martin T. Wells

Surrogate modeling is a viable solution for applications involving repetitive evaluations of expensive computational fluid dynamics models, such as uncertainty quantification and inverse problems. This study proposes a multi-layer…

Fluid Dynamics · Physics 2024-06-24 Gurpreet S. Hora , Marco G. Giometto

Reinforcement learning (RL) agents are commonly trained and evaluated in the same environment. In contrast, humans often train in a specialized environment before being evaluated, such as studying a book before taking an exam. The potential…

Machine Learning · Computer Science 2024-06-19 Jarek Liesen , Chris Lu , Andrei Lupu , Jakob N. Foerster , Henning Sprekeler , Robert T. Lange

System identification, the process of deriving mathematical models of dynamical systems from observed input-output data, has undergone a paradigm shift with the advent of learning-based methods. Addressing the intricate challenges of…

Machine Learning · Computer Science 2024-12-17 Arunabh Singh , Joyjit Mukherjee

We study reinforcement learning (RL) with no-reward demonstrations, a setting in which an RL agent has access to additional data from the interaction of other agents with the same environment. However, it has no access to the rewards or…

Machine Learning · Computer Science 2021-06-11 Angelos Filos , Clare Lyle , Yarin Gal , Sergey Levine , Natasha Jaques , Gregory Farquhar

Symbolic Regression (SR) is a widely studied field of research that aims to infer symbolic expressions from data. A popular approach for SR is the Sparse Identification of Nonlinear Dynamical Systems (SINDy) framework, which uses sparse…

The Sparse Identification of Nonlinear Dynamics (SINDy) framework is a robust method for identifying governing equations, successfully applied to ordinary, partial, and stochastic differential equations. In this work we extend SINDy to…

Numerical Analysis · Mathematics 2024-12-19 Alessandro Pecile , Nicola Demo , Marco Tezzele , Gianluigi Rozza , Dimitri Breda

The Sparse Identification of Nonlinear Dynamics (SINDy) framework has been frequently used to discover parsimonious differential equations governing natural and physical systems. This includes recent extensions to SINDy that enable the…

Numerical Analysis · Mathematics 2026-01-21 Mohammed Alanazi , Majid Bani-Yaghoub

Dynamical systems provide a mathematical framework for understanding complex physical phenomena. The mathematical formulation of these systems plays a crucial role in numerous applications; however, it often proves to be quite intricate.…

Dynamical Systems · Mathematics 2023-11-07 Zeyad M. Manaa , Mohammed R. Elbalshy , Ayman M. Abdallah

With the rapid increase of available data for complex systems, there is great interest in the extraction of physically relevant information from massive datasets. Recently, a framework called Sparse Identification of Nonlinear Dynamics…

Machine Learning · Statistics 2018-04-18 Lorenzo Boninsegna , Feliks Nüske , Cecilia Clementi

The Sparse Identification of Nonlinear Dynamics (SINDy) is a method for discovering nonlinear dynamical system models from data. Quantifying uncertainty in SINDy models is essential for assessing their reliability, particularly in…

Machine Learning · Computer Science 2025-07-17 Urban Fasel