most citedMILP initialization for solving parabolic PDEs with PINNs

1 citations · 1 across the 15 of their papers we have counts for

collaborators

18 papers

cs.LG2026

Learning Traffic Flow Dynamics with Stochastic Physics-Informed Neural Cellular Automata

Federica Bragone, Matthieu Barreau

Traffic flow modeling is essential for understanding and predicting the collective dynamics of vehicles on road networks. Cellular automata provide a simple, interpretable yet powe…

cs.LG2026

Alternating Levenberg-Marquardt Training of Physics-Informed Neural Networks with Fourier-Enhanced Features

Yulun Wu, Matthieu Barreau, Miguel Aguiar +1

Physics-informed neural networks (PINNs) often fail to accurately resolve partial differential equations (PDEs) with high-frequency or multi-scale solutions, as well as strongly no…

math.OC2026

Hybrid System Identification of Electric Freight Transition Dynamics via SINDy and Neural ODEs

Alessandro Carli, Maret Clement, Jonas Mårtensson +2

The transition to electric heavy-duty freight is constrained by a strong interdependence between vehicle adoption and charging infrastructure deployment. While system dynamics mode…

eess.SY2026

Detectability of Subtle Anomalies in Dynamical Systems via Log-Likelihood Ratio

Alejandro Penacho Riveiros, Matthieu Barreau, Nicola Bastianello

Industrial control applications require detecting system anomalies as accurately and quickly as possible to enable prompt maintenance. In this context, it is common to consider sev…

eess.SY2026

Model-free Anomaly Detection for Dynamical Systems with Gaussian Processes

Alejandro Penacho Riveiros, Nicola Bastianello, Matthieu Barreau

In this paper we address the problem of detecting differences or anomalies in a dynamical system, based on historical data of nominal operations. This problem encompasses quality c…

eess.SY2026

Second Order Physics-Informed Learning of Road Density using Probe Vehicles

S. Betancur Giraldo, J. Mårtensson, M. Barreau

We propose a Physics Informed Learning framework for reconstructing traffic density from sparse trajectory data. The approach combines a second-order Aw-Rascle and Zhang model with…

cs.NE2026

Curriculum-Learned Vanishing Stacked Residual PINNs for Hyperbolic PDE State Reconstruction

Katayoun Eshkofti, Matthieu Barreau

Modeling distributed dynamical systems governed by hyperbolic partial differential equations (PDEs) remains challenging due to discontinuities and shocks that hinder the convergenc…

eess.SY2025

Modeling and Physics-Enhanced Fault Detection in Wastewater Pump Stations

Katayoun Eshkofti, Henrik Sandberg, Mikael Nilsson +1

Monitoring wastewater pump stations is essential because they are critical infrastructure. However, monitoring is still often performed manually due to the lack of suitable algorit…

cs.LG2025

Iterative Training of Physics-Informed Neural Networks with Fourier-enhanced Features

Yulun Wu, Miguel Aguiar, Karl H. Johansson +1

Spectral bias, the tendency of neural networks to learn low-frequency features first, is a well-known issue with many training algorithms for physics-informed neural networks (PINN…

eess.SY2025

Physics-Informed Detection of Friction Anomalies in Satellite Reaction Wheels

Alejandro Penacho Riveiros, Nicola Bastianello, Karl H. Johansson +1

As the number of satellites in orbit has increased exponentially in recent years, ensuring their correct functionality has started to require automated methods to decrease human wo…

cs.LG2025

Source-Guided Flow Matching

Zifan Wang, Alice Harting, Matthieu Barreau +2

Guidance of generative models is typically achieved by modifying the probability flow vector field through the addition of a guidance field. In this paper, we instead propose the S…

q-bio.QM2025

Data-driven multi-agent modelling of calcium interactions in cell culture: PINN vs Regularized Least-squares

Aurora Poggi, Giuseppe Alessio D'Inverno, Hjalmar Brismar +3

Data-driven discovery of dynamics in biological systems allows for better observation and characterization of processes, such as calcium signaling in cell culture. Recent advanceme…

cs.LG2025

Online Traffic Density Estimation using Physics-Informed Neural Networks

Dennis Wilkman, Kateryna Morozovska, Karl Henrik Johansson +1

Recent works on the application of Physics-Informed Neural Networks to traffic density estimation have shown to be promising for future developments due to their robustness to mode…

math.OC2025

Closed-Loop Neural Operator-Based Observer of Traffic Density

Alice Harting, Karl Henrik Johansson, Matthieu Barreau

We consider the problem of traffic density estimation with sparse measurements from stationary roadside sensors. Our approach uses Fourier neural operators to learn macroscopic tra…

cs.LG2025

Optimal Sensor Placement in Power Transformers Using Physics-Informed Neural Networks

Sirui Li, Federica Bragone, Matthieu Barreau +2

Our work aims at simulating and predicting the temperature conditions inside a power transformer using Physics-Informed Neural Networks (PINNs). The predictions obtained are then u…

cs.LG2025

Data-Driven vs Traditional Approaches to Power Transformer's Top-Oil Temperature Estimation

Francis Tembo, Federica Bragone, Tor Laneryd +2

Power transformers are subjected to electrical currents and temperature fluctuations that, if not properly controlled, can lead to major deterioration of their insulation system. T…

cs.LG2025★ 1 cited

MILP initialization for solving parabolic PDEs with PINNs

Sirui Li, Federica Bragone, Matthieu Barreau +1

Physics-Informed Neural Networks (PINNs) are a powerful deep learning method capable of providing solutions and parameter estimations of physical systems. Given the complexity of t…

cs.LG2025

A Control Perspective on Training PINNs

Matthieu Barreau, Haoming Shen

We investigate the training of Physics-Informed Neural Networks (PINNs) from a control-theoretic perspective. Using gradient descent with resampling, we interpret the training dyna…