Predicting Steady-State Behavior in Complex Networks with Graph Neural Networks

Fuente: arXiv
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Autores principales: Pradhan, Priodyuti, Reza, Amit
Formato: Preprint
Publicado: 2025
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author Pradhan, Priodyuti
Reza, Amit
author_facet Pradhan, Priodyuti
Reza, Amit
contents In complex systems, information propagation can be defined as diffused or delocalized, weakly localized, and strongly localized. This study investigates the application of graph neural network models to learn the behavior of a linear dynamical system on networks. A graph convolution and attention-based neural network framework has been developed to identify the steady-state behavior of the linear dynamical system. We reveal that our trained model distinguishes the different states with high accuracy. Furthermore, we have evaluated model performance with real-world data. In addition, to understand the explainability of our model, we provide an analytical derivation for the forward and backward propagation of our framework.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01693
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Predicting Steady-State Behavior in Complex Networks with Graph Neural Networks
Pradhan, Priodyuti
Reza, Amit
Machine Learning
Artificial Intelligence
Adaptation and Self-Organizing Systems
In complex systems, information propagation can be defined as diffused or delocalized, weakly localized, and strongly localized. This study investigates the application of graph neural network models to learn the behavior of a linear dynamical system on networks. A graph convolution and attention-based neural network framework has been developed to identify the steady-state behavior of the linear dynamical system. We reveal that our trained model distinguishes the different states with high accuracy. Furthermore, we have evaluated model performance with real-world data. In addition, to understand the explainability of our model, we provide an analytical derivation for the forward and backward propagation of our framework.
title Predicting Steady-State Behavior in Complex Networks with Graph Neural Networks
topic Machine Learning
Artificial Intelligence
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2502.01693