Nonlinear Sheaf Diffusion in Graph Neural Networks

Fuente: arXiv
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Autor principal: Zaghen, Olga
Formato: Preprint
Publicado: 2024
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author Zaghen, Olga
author_facet Zaghen, Olga
contents This work focuses on exploring the potential benefits of introducing a nonlinear Laplacian in Sheaf Neural Networks for graph-related tasks. The primary aim is to understand the impact of such nonlinearity on diffusion dynamics, signal propagation, and performance of neural network architectures in discrete-time settings. The study primarily emphasizes experimental analysis, using real-world and synthetic datasets to validate the practical effectiveness of different versions of the model. This approach shifts the focus from an initial theoretical exploration to demonstrating the practical utility of the proposed model.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00337
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nonlinear Sheaf Diffusion in Graph Neural Networks
Zaghen, Olga
Machine Learning
This work focuses on exploring the potential benefits of introducing a nonlinear Laplacian in Sheaf Neural Networks for graph-related tasks. The primary aim is to understand the impact of such nonlinearity on diffusion dynamics, signal propagation, and performance of neural network architectures in discrete-time settings. The study primarily emphasizes experimental analysis, using real-world and synthetic datasets to validate the practical effectiveness of different versions of the model. This approach shifts the focus from an initial theoretical exploration to demonstrating the practical utility of the proposed model.
title Nonlinear Sheaf Diffusion in Graph Neural Networks
topic Machine Learning
url https://arxiv.org/abs/2403.00337