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Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

In the trend of hybrid Artificial Intelligence techniques, Physical-Informed Machine Learning has seen a growing interest. It operates mainly by imposing data, learning, or architecture bias with simulation data, Partial Differential…

Machine Learning · Computer Science 2024-08-05 Alexis-Raja Brachet , Pierre-Yves Richard , Céline Hudelot

Gravitational-wave data analysis relies on accurate and efficient methods to extract physical information from noisy detector signals, yet the increasing rate and complexity of observations represent a growing challenge. Deep learning…

Precise and timely simulation of a structure's dynamic behavior is crucial for evaluating its performance and assessing its health status. Traditional numerical methods are often limited by high computational costs and low efficiency, while…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Jun Zhang , Tong Zhang , Ying Wang

Real-time condition monitoring is crucial for the reliable and efficient operation of complex systems. However, relying solely on physical sensors can be limited due to their cost, placement constraints, or inability to directly measure…

Machine Learning · Computer Science 2025-03-07 Mengjie Zhao , Cees Taal , Stephan Baggerohr , Olga Fink

We explore the possibility to use physics-informed neural networks to drastically accelerate the solution of ordinary differential-algebraic equations that govern the power system dynamics. When it comes to transient stability assessment,…

Machine Learning · Computer Science 2023-03-17 Jochen Stiasny , Georgios S. Misyris , Spyros Chatzivasileiadis

Stress prediction in porous materials and structures is challenging due to the high computational cost associated with direct numerical simulations. Convolutional Neural Network (CNN) based architectures have recently been proposed as…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Vasilis Krokos , Stéphane P. A. Bordas , Pierre Kerfriden

We propose physics-informed digital twin (PIDT): a fiber parameter estimation approach that combines a parameterized split-step method with a physics-informed loss. PIDT improves accuracy and convergence speed with lower complexity compared…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Zicong Jiang , Magnus Karlsson , Erik Agrell , Christian Häger

Uncertainty quantification in digital twins is critical to enable reliable and credible predictions beyond available data. A key challenge is that ensemble-based approaches can become prohibitively expensive when embedded in control and…

Numerical Analysis · Mathematics 2025-11-04 Zhiyang Ning , Benjamin Peherstorfer

This paper studies the problem of modeling multi-agent dynamical systems, where agents could interact mutually to influence their behaviors. Recent research predominantly uses geometric graphs to depict these mutual interactions, which are…

Machine Learning · Computer Science 2024-06-28 Xiao Luo , Yiyang Gu , Huiyu Jiang , Hang Zhou , Jinsheng Huang , Wei Ju , Zhiping Xiao , Ming Zhang , Yizhou Sun

We develop online graph learning algorithms from streaming network data. Our goal is to track the (possibly) time-varying network topology, and effect memory and computational savings by processing the data on-the-fly as they are acquired.…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Rasoul Shafipour , Gonzalo Mateos

Physics-based digital twins aim to predict the dynamics of real-world objects under interaction, enabling real-to-sim-to-real applications in robotics. Current approaches reconstruct such twins as explicit physical models (such as…

Robotics · Computer Science 2026-05-11 Yixiong Jing , Xingyuan Chen , Guangming Wang , Olaf Wysocki , Haibing Wu , Brian Sheil

This work addresses the accurate and efficient simulation of physical phenomena governed by parametric Partial Differential Equations (PDEs) characterized by varying boundary conditions, where parametric instances modify not only the…

Numerical Analysis · Mathematics 2026-03-10 Francesco Della Santa , Sandra Pieraccini , Maria Strazzullo

Physics-Informed Neural Network (PINN) is a deep learning framework that integrates the governing equations underlying data into a loss function. In this study, we consider the problem of estimating state variables and parameters in…

Symbolic Computation · Computer Science 2025-08-07 Mizuka Komatsu

Graph filters are a staple tool for processing signals over graphs in a multitude of downstream tasks. However, they are commonly designed for graphs with a fixed number of nodes, despite real-world networks typically grow over time. This…

Machine Learning · Computer Science 2024-09-12 Bishwadeep Das , Elvin Isufi

Long-horizon dynamical prediction is fundamental in robotics and control, underpinning canonical methods like model predictive control. Yet, many systems and disturbance phenomena are difficult to model due to effects like nonlinearity,…

Robotics · Computer Science 2025-12-04 Albert H. Li , Ivan Dario Jimenez Rodriguez , Joel W. Burdick , Yisong Yue , Aaron D. Ames

The application of neural networks in modeling dynamic systems has become prominent due to their ability to estimate complex nonlinear functions. Despite their effectiveness, neural networks face challenges in long-term predictions, where…

Machine Learning · Computer Science 2025-06-10 Parham Oveissi , Turibius Rozario , Ankit Goel

We investigate the use of neural networks (NNs) for the estimation of hidden model parameters and uncertainty quantification from noisy observational data for inverse parameter estimation problems. We formulate the parameter estimation as a…

Numerical Analysis · Mathematics 2025-10-17 German Villalobos , Johann Rudi , Andreas Mang

This letter develops a novel physics-informed neural ordinary differential equations-based framework to emulate the proprietary dynamics of the inverters -- essential for improved accuracy in grid dynamic simulations. In current industry…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Kyung-Bin Kwon , Sayak Mukherjee , Ramij R. Hossain , Marcelo Elizondo

Ordinary Differential Equations (ODE) are used throughout science where the capture of rates of change in states is sought. While both pieces of commercial and open software exist to study such systems, their efficient and accurate usage…

Mathematical Software · Computer Science 2018-03-20 Edwin Tye , Tom Finnie , Ian Hall , Steve Leach
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