LGSIOct 20, 2023

Spectral-Aware Augmentation for Enhanced Graph Representation Learning

arXiv:2310.13845v26 citationsh-index: 10
AI Analysis

This addresses a bottleneck in graph representation learning for researchers and practitioners by improving augmentation methods, though it appears incremental as it builds on existing contrastive learning frameworks.

The paper tackles the problem that current graph contrastive learning augmentation methods use random spatial perturbations that uniformly affect all frequency bands, potentially weakening task-relevant information, and proposes GASSER, which applies tailored perturbations to specific frequencies in the spectral domain, resulting in adaptive and controllable augmentation views aligned with graph structures.

Graph Contrastive Learning (GCL) has demonstrated remarkable effectiveness in learning representations on graphs in recent years. To generate ideal augmentation views, the augmentation generation methods should preserve essential information while discarding less relevant details for downstream tasks. However, current augmentation methods usually involve random topology corruption in the spatial domain, which fails to adequately address information spread across different frequencies in the spectral domain. Our preliminary study highlights this issue, demonstrating that spatial random perturbations impact all frequency bands almost uniformly. Given that task-relevant information typically resides in specific spectral regions that vary across graphs, this one-size-fits-all approach can pose challenges. We argue that indiscriminate spatial random perturbation might unintentionally weaken task-relevant information, reducing its effectiveness. To tackle this challenge, we propose applying perturbations selectively, focusing on information specific to different frequencies across diverse graphs. In this paper, we present GASSER, a model that applies tailored perturbations to specific frequencies of graph structures in the spectral domain, guided by spectral hints. Through extensive experimentation and theoretical analysis, we demonstrate that the augmentation views generated by GASSER are adaptive, controllable, and intuitively aligned with the homophily ratios and spectrum of graph structures.

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