GRAVITY: A Controversial Graph Representation Learning for Vertex Classification

Fuente: arXiv
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Main Authors: Tajeuna, Etienne Gael, Tshimula, Jean Marie
Format: Preprint
Published: 2025
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author Tajeuna, Etienne Gael
Tshimula, Jean Marie
author_facet Tajeuna, Etienne Gael
Tshimula, Jean Marie
contents In the quest of accurate vertex classification, we introduce GRAVITY (Graph-based Representation leArning via Vertices Interaction TopologY), a framework inspired by physical systems where objects self-organize under attractive forces. GRAVITY models each vertex as exerting influence through learned interactions shaped by structural proximity and attribute similarity. These interactions induce a latent potential field in which vertices move toward energy efficient positions, coalescing around class-consistent attractors and distancing themselves from unrelated groups. Unlike traditional message-passing schemes with static neighborhoods, GRAVITY adaptively modulates the receptive field of each vertex based on a learned force function, enabling dynamic aggregation driven by context. This field-driven organization sharpens class boundaries and promotes semantic coherence within latent clusters. Experiments on real-world benchmarks show that GRAVITY yields competitive embeddings, excelling in both transductive and inductive vertex classification tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2508_08954
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle GRAVITY: A Controversial Graph Representation Learning for Vertex Classification
Tajeuna, Etienne Gael
Tshimula, Jean Marie
Machine Learning
In the quest of accurate vertex classification, we introduce GRAVITY (Graph-based Representation leArning via Vertices Interaction TopologY), a framework inspired by physical systems where objects self-organize under attractive forces. GRAVITY models each vertex as exerting influence through learned interactions shaped by structural proximity and attribute similarity. These interactions induce a latent potential field in which vertices move toward energy efficient positions, coalescing around class-consistent attractors and distancing themselves from unrelated groups. Unlike traditional message-passing schemes with static neighborhoods, GRAVITY adaptively modulates the receptive field of each vertex based on a learned force function, enabling dynamic aggregation driven by context. This field-driven organization sharpens class boundaries and promotes semantic coherence within latent clusters. Experiments on real-world benchmarks show that GRAVITY yields competitive embeddings, excelling in both transductive and inductive vertex classification tasks.
title GRAVITY: A Controversial Graph Representation Learning for Vertex Classification
topic Machine Learning
url https://arxiv.org/abs/2508.08954