SEGNO: Generalizing equivariant graph neural networks with physical inductive biases

Y Liu, J Cheng, H Zhao, T Xu, P Zhao, F Tsung… - arxiv preprint arxiv …, 2023 - arxiv.org
Graph Neural Networks (GNNs) with equivariant properties have emerged as powerful tools
for modeling complex dynamics of multi-object physical systems. However, their …

Neural ordinary differential equations for robust parameter estimation in dynamic systems with physical priors

Y Yang, H Li - Applied Soft Computing, 2025 - Elsevier
This study introduces a novel parameter estimation method based on Neural Ordinary
Differential Equations (Neural ODE). The method addresses the challenges of limited data …

Inference on the macroscopic dynamics of spiking neurons

N Baldy, M Breyton, MM Woodman, VK Jirsa… - Neural …, 2024 - direct.mit.edu
The process of inference on networks of spiking neurons is essential to decipher the
underlying mechanisms of brain computation and function. In this study, we conduct …

Object trajectory estimation with continuous-time neural dynamic learning of millimeter-wave Wi-Fi

CJ Vaca-Rubio, P Wang, T Koike-Akino… - IEEE Journal of …, 2024 - ieeexplore.ieee.org
In this article, we leverage standard-compliant beam training measurements from
commercial millimeter-wave (mmWave) Wi-Fi communication devices for object localization …

Incremental Neural Controlled Differential Equations for modeling of path-dependent material behavior

Y He, SJ Semnani - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Data-driven surrogate modeling has emerged as a promising approach for reducing
computational expenses of multi-scale simulations. Recurrent Neural Network (RNN) is a …

Some of the variables, some of the parameters, some of the times, with some physics known: Identification with partial information

S Malani, TS Bertalan, T Cui, JL Avalos… - Computers & Chemical …, 2023 - Elsevier
Experimental data is often comprised of variables measured independently, at different
sampling rates (non-uniform Δ t between successive measurements); and at a specific time …

Implementation and (Inverse Modified) Error Analysis for Implicitly Templated ODE-Nets

A Zhu, T Bertalan, B Zhu, Y Tang, IG Kevrekidis - SIAM Journal on Applied …, 2024 - SIAM
We focus on learning unknown dynamics from data using ODE-nets templated on implicit
numerical initial value problem solvers. First, we perform inverse modified error analysis of …

Exact inference for continuous-time Gaussian process dynamics

K Ensinger, N Tagliapietra, S Ziesche… - Proceedings of the AAAI …, 2024 - ojs.aaai.org
Many physical systems can be described as a continuous-time dynamical system. In
practice, the true system is often unknown and has to be learned from measurement data …

Analysis of numerical integration in RNN-based residuals for fault diagnosis of dynamic systems

A Mohammadi, T Westny, D Jung, M Krysander - IFAC-PapersOnLine, 2023 - Elsevier
Data-driven modeling and machine learning are widely used to model the behavior of
dynamic systems. One application is the residual evaluation of technical systems where …

Efficient inference on a network of spiking neurons using deep learning

N Baldy, M Breyton, MM Woodman, VK Jirsa… - bioRxiv, 2024 - biorxiv.org
The process of making inference on networks of spiking neurons is crucial to decipher the
underlying mechanisms of neural computation. Mean-field theory simplifies the interactions …