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SEGNO: Generalizing equivariant graph neural networks with physical inductive biases
Graph Neural Networks (GNNs) with equivariant properties have emerged as powerful tools
for modeling complex dynamics of multi-object physical systems. However, their …
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 …
Differential Equations (Neural ODE). The method addresses the challenges of limited data …
Inference on the macroscopic dynamics of spiking neurons
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 …
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
In this article, we leverage standard-compliant beam training measurements from
commercial millimeter-wave (mmWave) Wi-Fi communication devices for object localization …
commercial millimeter-wave (mmWave) Wi-Fi communication devices for object localization …
Incremental Neural Controlled Differential Equations for modeling of path-dependent material behavior
Data-driven surrogate modeling has emerged as a promising approach for reducing
computational expenses of multi-scale simulations. Recurrent Neural Network (RNN) is a …
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
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 …
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 …
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 …
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
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 …
dynamic systems. One application is the residual evaluation of technical systems where …
Efficient inference on a network of spiking neurons using deep learning
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 …
underlying mechanisms of neural computation. Mean-field theory simplifies the interactions …