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Highly accurate simulations of complex phenomena governed by partial differential equations (PDEs) typically require intrusive methods and entail expensive computational costs, which might become prohibitive when approximating steady-state…

Machine Learning · Computer Science 2023-05-17 Paolo Conti , Giorgio Gobat , Stefania Fresca , Andrea Manzoni , Attilio Frangi

Long-horizon motion forecasting for multiple autonomous robots is challenging due to non-linear agent interactions, compounding prediction errors, and continuous-time evolution of dynamics. Learned dynamics of such a system can be useful in…

Robotics · Computer Science 2025-10-02 Shounak Sural , Charles Kekeh , Wenliang Liu , Federico Pecora , Mouhacine Benosman

Physics-Informed Neural Networks (PINNs) and Neural Ordinary Differential Equations (NODEs) represent two distinct machine learning frameworks for modeling nonlinear neuronal dynamics. This study systematically evaluates their performance…

Dynamical Systems · Mathematics 2026-03-31 Nikolaos M. Matzakos , Chrisovalantis Sfyrakis

Neural networks have recently been used to analyze diverse physical systems and to identify the underlying dynamics. While existing methods achieve impressive results, they are limited by their strong demand for training data and their weak…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Florian Hofherr , Lukas Koestler , Florian Bernard , Daniel Cremers

A significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: how can models utilize physics or mathematical principles…

Machine Learning · Computer Science 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang , Ali Mohammad-Djafari

Physics-Informed Neural Networks (PINNs) integrate physical principles into machine learning, finding wide applications in various science and engineering fields. However, solving nonlinear hyperbolic partial differential equations (PDEs)…

Fluid Dynamics · Physics 2024-10-01 Jingjing Zhang , Ulisses Braga-Neto , Eduardo Gildin

Robotic manipulation in dynamic and unstructured environments requires safety mechanisms that exploit what is known and what is uncertain about the world. Existing safety filters often assume full observability, limiting their applicability…

Robotics · Computer Science 2025-09-17 Anna Johansson , Daniel Lindmark , Viktor Wiberg , Martin Servin

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

Physics-Informed Neural Networks (PINNs) provide a mesh-free approach for solving differential equations by embedding physical constraints into neural network training. However, PINNs tend to overfit within the training domain, leading to…

Machine Learning · Computer Science 2026-03-17 Jose Marie Antonio Miñoza

Form-finding of unilateral membrane structures is commonly addressed by solving equilibrium equations with Finite Element Methods (FEMs). This paper investigates Physics-Informed Neural Networks (PINNs) as an alternative, where the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Luigi Sibille , Sigrid Adriaenssens , Carlo Olivieri

Reconstructing unknown external source functions is an important perception capability for a large range of robotics domains including manipulation, aerial, and underwater robotics. In this work, we propose a Physics-Informed Neural Network…

Robotics · Computer Science 2024-11-05 Youngsun Wi , Jayjun Lee , Miquel Oller , Nima Fazeli

We propose a physics-based method to learn environmental fields (EFs) using a mobile robot. Common purely data-driven methods require prohibitively many measurements to accurately learn such complex EFs. Alternatively, physics-based models…

Robotics · Computer Science 2021-01-15 Reza Khodayi-mehr , Michael M. Zavlanos

Solving nonlinear optimal control problems is a challenging task, particularly for high-dimensional problems. We propose algorithms for model-based policy iterations to solve nonlinear optimal control problems with convergence guarantees.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yiming Meng , Ruikun Zhou , Amartya Mukherjee , Maxwell Fitzsimmons , Christopher Song , Jun Liu

Accurate modeling of closure terms is a critical challenge in engineering and scientific research, particularly when data is sparse (scarse or incomplete), making widely applicable models difficult to develop. This study proposes a novel…

Machine Learning · Computer Science 2025-05-09 Tian Chen , Shengping Liu , Li Liu , Heng Yong

Robot data collected in complex real-world scenarios are often biased due to safety concerns, human preferences, and mission or platform constraints. Consequently, robot learning from such observational data poses great challenges for…

Robotics · Computer Science 2022-10-18 Junhong Xu , Kai Yin , Jason M. Gregory , Lantao Liu

Physics-Informed Neural Networks (PINNs) have gained much attention in various fields of engineering thanks to their capability of incorporating physical laws into the models. However, the assessment of PINNs in industrial applications…

Machine Learning · Computer Science 2022-07-19 Thi Nguyen Khoa Nguyen , Thibault Dairay , Raphaël Meunier , Mathilde Mougeot

We study a scenario where an aircraft has multiple heterogeneous sensors collecting measurements to track a target vehicle of unknown location. The measurements are sampled along the flight path and our goals to optimize sensor placement to…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Matthew R. Kirchner , David Grimsman , Joao P. Hespanha , Jason R. Marden

Physics-informed neural networks (PINNs) have emerged as a promising approach for solving complex fluid dynamics problems, yet their application to fluid-structure interaction (FSI) problems with moving boundaries remains largely…

Machine Learning · Computer Science 2025-12-04 Afrah Farea , Saiful Khan , Reza Daryani , Emre Cenk Ersan , Mustafa Serdar Celebi

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

Robotics · Computer Science 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge
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