A Learned Generalized Geodesic Distance Function-Based Approach for Node Feature Augmentation on Graphs

Fuente: arXiv
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Main Authors: Azad, Amitoz, Fang, Yuan
Format: Preprint
Published: 2024
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author Azad, Amitoz
Fang, Yuan
author_facet Azad, Amitoz
Fang, Yuan
contents Geodesic distances on manifolds have numerous applications in image processing, computer graphics and computer vision. In this work, we introduce an approach called `LGGD' (Learned Generalized Geodesic Distances). This method involves generating node features by learning a generalized geodesic distance function through a training pipeline that incorporates training data, graph topology and the node content features. The strength of this method lies in the proven robustness of the generalized geodesic distances to noise and outliers. Our contributions encompass improved performance in node classification tasks, competitive results with state-of-the-art methods on real-world graph datasets, the demonstration of the learnability of parameters within the generalized geodesic equation on graph, and dynamic inclusion of new labels.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01194
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Learned Generalized Geodesic Distance Function-Based Approach for Node Feature Augmentation on Graphs
Azad, Amitoz
Fang, Yuan
Machine Learning
Geodesic distances on manifolds have numerous applications in image processing, computer graphics and computer vision. In this work, we introduce an approach called `LGGD' (Learned Generalized Geodesic Distances). This method involves generating node features by learning a generalized geodesic distance function through a training pipeline that incorporates training data, graph topology and the node content features. The strength of this method lies in the proven robustness of the generalized geodesic distances to noise and outliers. Our contributions encompass improved performance in node classification tasks, competitive results with state-of-the-art methods on real-world graph datasets, the demonstration of the learnability of parameters within the generalized geodesic equation on graph, and dynamic inclusion of new labels.
title A Learned Generalized Geodesic Distance Function-Based Approach for Node Feature Augmentation on Graphs
topic Machine Learning
url https://arxiv.org/abs/2407.01194