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Regularization and Bayesian methods for system identification have been repopularized in the recent years, and proved to be competitive w.r.t. classical parametric approaches. In this paper we shall make an attempt to illustrate how the use…

Systems and Control · Computer Science 2015-11-06 A. Chiuso

Parametric prediction error methods constitute a classical approach to the identification of linear dynamic systems with excellent large-sample properties. A more recent regularized approach, inspired by machine learning and Bayesian…

Systems and Control · Computer Science 2017-10-12 Johan Wågberg , Dave Zachariah , Thomas B. Schön

We survey classical, machine learning, and data-driven system identification approaches to learn control-relevant and physics-informed models of dynamical systems. Recently, machine learning approaches have enabled system identification…

Systems and Control · Electrical Eng. & Systems 2025-12-09 S. Sivaranjani , Yuanyuan Shi , Nikolay Atanasov , Thai Duong , Jie Feng , Tim Martin , Yuezhu Xu , Vijay Gupta , Frank Allgöwer

Deep-learning-based nonlinear system identification has shown the ability to produce reliable and highly accurate models in practice. However, these black-box models lack physical interpretability, and a considerable part of the learning…

Machine Learning · Computer Science 2025-07-15 Bendegúz M. Györök , Jan H. Hoekstra , Johan Kon , Tamás Péni , Maarten Schoukens , Roland Tóth

The topic of identification of dynamic systems, has been at the core of modern control , following the fundamental works of Kalman. Realization Theory has been one of the major outcomes in this domain, with the possibility of identifying a…

Optimization and Control · Mathematics 2020-05-19 Alain Bensoussan , Fatih Gelir , Viswanath Ramakrishna , Minh-Binh Tran

System identification is a common tool for estimating (linear) plant models as a basis for model-based predictive control and optimization. The current challenges in process industry, however, ask for data-driven modelling techniques that…

Systems and Control · Computer Science 2018-02-06 Paul M. J. Van den Hof , Arne G. Dankers , Harm H. M. Weerts

The identification of a mathematical dynamics model is a crucial step in the designing process of a controller. However, it is often very difficult to identify the system's governing equations, especially in complex environments that…

Systems and Control · Electrical Eng. & Systems 2024-07-01 Tobias Nagel , Marco F. Huber

This tutorial paper provides an introduction to recently developed tools for machine learning, especially learning dynamical systems (system identification), with stability and robustness constraints. The main ideas are drawn from…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Ian R. Manchester , Max Revay , Ruigang Wang

In this paper, we introduce a physics-driven regularization method for training of deep neural networks (DNNs) for use in engineering design and analysis problems. In particular, we focus on prediction of a physical system, for which in…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

Optimization and Control · Mathematics 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran

This paper focuses on the identification of dynamical systems with tailor-made model structures, where neural networks are used to approximate uncertain components and domain knowledge is retained, if available. These model structures are…

Machine Learning · Computer Science 2021-10-29 Marco Forgione , Dario Piga

Learning from examples is one of the key problems in science and engineering. It deals with function reconstruction from a finite set of direct and noisy samples. Regularization in reproducing kernel Hilbert spaces (RKHSs) is widely used to…

Systems and Control · Computer Science 2016-12-30 Gianluigi Pillonetto

Incorporating a priori physics knowledge into machine learning leads to more robust and interpretable algorithms. In this work, we combine deep learning techniques and classic numerical methods for differential equations to address two…

Machine Learning · Computer Science 2026-05-04 Caitlin Ho , Andrea Arnold

Deep learning is a topic of considerable current interest. The availability of massive data collections and powerful software resources has led to an impressive amount of results in many application areas that reveal essential but hidden…

Machine Learning · Computer Science 2023-01-31 Gianluigi Pillonetto , Aleksandr Aravkin , Daniel Gedon , Lennart Ljung , Antônio H. Ribeiro , Thomas B. Schön

System identification, also known as learning forward models, transfer functions, system dynamics, etc., has a long tradition both in science and engineering in different fields. Particularly, it is a recurring theme in Reinforcement…

How to extract more and useful information for single image super resolution is an imperative and difficult problem. Learning-based method is a representative method for such task. However, the results are not so stable as there may exist…

Image and Video Processing · Electrical Eng. & Systems 2020-03-25 Hu Liang , Shengrong Zhao

Efficiently harvesting thermodynamic resources requires a precise understanding of their structure. This becomes explicit through the lens of information engines -- thermodynamic engines that use information as fuel. Maximizing the work…

Statistical Mechanics · Physics 2024-02-28 Alexander B. Boyd , James P. Crutchfield , Mile Gu , Felix C. Binder

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key idea is to develop a new control-theoretic regularizer for dynamics fitting rooted in the notion of…

Systems and Control · Computer Science 2018-11-13 Sumeet Singh , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

We analyze a new approach to Machine Learning coming from a modification of classical regularization networks by casting the process in the time dimension, leading to a sort of collapse of dimensionality in the problem of learning the model…

Machine Learning · Computer Science 2017-01-05 Marco Gori , Marco Maggini , Alessandro Rossi

Operator inference learns low-dimensional dynamical-system models with polynomial nonlinear terms from trajectories of high-dimensional physical systems (non-intrusive model reduction). This work focuses on the large class of physical…

Numerical Analysis · Mathematics 2021-07-07 Nihar Sawant , Boris Kramer , Benjamin Peherstorfer
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