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This paper discusses an approach for incorporating prior physical knowledge into the neural network to improve data efficiency and the generalization of predictive models. If the dynamics of a system approximately follows a given…

Neural and Evolutionary Computing · Computer Science 2020-05-29 Andrei Ivanov , Uwe Iben , Anna Golovkina

For real-life nonlinear systems, the exact form of nonlinearity is often not known and the known governing equations are often based on certain assumptions and approximations. Such representation introduced model-form error into the system.…

Machine Learning · Statistics 2022-04-20 Shailesh Garg , Souvik Chakraborty , Budhaditya Hazra

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

Computational Engineering, Finance, and Science · Computer Science 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai

Physical systems are commonly represented as a combination of particles, the individual dynamics of which govern the system dynamics. However, traditional approaches require the knowledge of several abstract quantities such as the energy or…

Machine Learning · Computer Science 2022-09-07 Ravinder Bhattoo , Sayan Ranu , N. M. Anoop Krishnan

Combining model-based and model-free learning systems has been shown to improve the sample efficiency of learning to perform complex robotic tasks. However, dual-system approaches fail to consider the reliability of the learned model when…

Machine Learning · Computer Science 2020-11-03 Muhammad Burhan Hafez , Cornelius Weber , Matthias Kerzel , Stefan Wermter

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

Operating complex real-world systems, such as soft robots, can benefit from precise predictive control schemes that require accurate state and model knowledge. This knowledge is typically not available in practical settings and must be…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Jan-Hendrik Ewering , Max Bartholdt , Simon F. G. Ehlers , Niklas Wahlström , Thomas B. Schön , Thomas Seel

Lagrangian and Hamiltonian neural networks (LNNs and HNNs, respectively) encode strong inductive biases that allow them to outperform other models of physical systems significantly. However, these models have, thus far, mostly been limited…

Machine Learning · Computer Science 2022-11-14 Ravinder Bhattoo , Sayan Ranu , N. M. Anoop Krishnan

We present a data-driven modeling strategy to overcome improperly modeled dynamics for systems exhibiting complex spatio-temporal behaviors. We propose a Deep Learning framework to resolve the differences between the true dynamics of the…

Machine Learning · Computer Science 2020-10-28 Maan Qraitem , Dhanushka Kularatne , Eric Forgoston , M. Ani Hsieh

Despite the numerous advances, reinforcement learning remains away from widespread acceptance for autonomous controller design as compared to classical methods due to lack of ability to effectively tackle the reality gap. The reliance on…

Machine Learning · Computer Science 2024-09-23 Narendra Patwardhan , Zequn Wang

In this paper, we present a robotic model-based reinforcement learning method that combines ideas from model identification and model predictive control. We use a feature-based representation of the dynamics that allows the dynamics model…

Machine Learning · Computer Science 2016-03-16 Christopher Xie , Sachin Patil , Teodor Moldovan , Sergey Levine , Pieter Abbeel

Model-based reinforcement learning (MBRL) is sample-efficient but depends on the accuracy of the learned dynamics, which are often modeled using black-box methods that do not adhere to physical laws. Those methods tend to produce inaccurate…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Shreya Das , Kundan Kumar , Muhammad Iqbal , Outi Savolainen , Dominik Baumann , Laura Ruotsalainen , Simo Särkkä

The application of learning-based control methods in robotics presents significant challenges. One is that model-free reinforcement learning algorithms use observation data with low sample efficiency. To address this challenge, a prevalent…

Machine Learning · Computer Science 2024-07-19 Andrey Gorodetskiy , Konstantin Mironov , Aleksandr Panov

Combining deep learning with classical physics facilitates the efficient creation of accurate dynamical models. In a recent class of neural network, Lagrangian mechanics is hard-coded into the architecture, and training the network learns…

Machine Learning · Computer Science 2025-02-28 Brandon Johns , Zhuomin Zhou , Elahe Abdi

Applying reinforcement learning to robotic systems poses a number of challenging problems. A key requirement is the ability to handle continuous state and action spaces while remaining within a limited time and resource budget.…

Machine Learning · Computer Science 2020-06-29 Benjamin van Niekerk , Andreas Damianou , Benjamin Rosman

In this paper, we consider the use of black-box Gaussian process (GP) models for trajectory tracking control based on feedback linearization, in the context of mechanical systems. We considered two strategies. The first computes the control…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Alberto Dalla Libera , Fabio Amadio , Daniel Nikovski , Ruggero Carli , Diego Romeres

Accurately predicting the dynamics of robotic systems is crucial for model-based control and reinforcement learning. The most common way to estimate dynamics is by fitting a one-step ahead prediction model and using it to recursively…

Machine Learning · Computer Science 2021-09-02 Nathan O. Lambert , Albert Wilcox , Howard Zhang , Kristofer S. J. Pister , Roberto Calandra

Research on control using models based on machine-learning methods has now shifted to the practical engineering stage. Achieving high performance and theoretically guaranteeing the safety of the system is critical for such applications. In…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Ryuta Moriyasu , Masayuki Kusunoki , Kenji Kashima

Accurate models of mechanical system dynamics are often critical for model-based control and reinforcement learning. Fully data-driven dynamics models promise to ease the process of modeling and analysis, but require considerable amounts of…

Machine Learning · Computer Science 2021-04-19 A. René Geist , Sebastian Trimpe

Physics-informed deep learning models have emerged as powerful tools for learning dynamical systems. These models directly encode physical principles into network architectures. However, systematic benchmarking of these approaches across…