Graph is a Natural Regularization: Revisiting Vector Quantization for Graph Representation Learning
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Abstract (arXiv)
Vector Quantization (VQ) has recently emerged as a promising approach for learning compressed and discrete representations for graph-structured data. However, a fundamental challenge, i.e., codebook collapse, remains underexplored in the graph domain, significantly limiting the expressiveness and generalization of graph tokens.In this paper, we present an empirical study and observe that codebook collapse consistently occurs when training VQ jointly with Graph Neural Networks under graph reconstruction tasks, even with mitigation strategies proposed in vision or language domains. Moreover, we provide a diagnosis of collapse from data and optimization perspectives, showing that collapse is associated with graph data properties such as feature redundancy and connectivity density, and is further reinforced by the training dynamics of deterministic hard assignment. To address these issues, we propose RGVQ, a novel framework that integrates graph topology and feature similarity as explicit regularization signals to enhance codebook utilization and promote token diversity. RGVQ introduces soft assignments via Gumbel-Softmax reparameterization, ensuring that all codewords receive gradient updates. In addition, RGVQ incorporates a structure-aware contrastive regularization to penalize assigning the same token to dissimilar node pairs. Extensive experiments demonstrate that RGVQ substantially improves codebook utilization and consistently boosts the performance of state-of-the-art graph VQ backbones across multiple downstream tasks, enabling more expressive and transferable graph token representations.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 62 of its 83 references that are in the map. First posted on arXiv 8 Aug 2025.
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62 of 83 references.
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38 more
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Citing papers per year: 2025: 1; 2026: 1.
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- 2025A Survey of Quantized Graph Representation Learning: Connecting Graph Structures with Large Language Models
- 2026Early Quantization Shrinks Codebook: A Simple Fix for Diversity-Preserving Tokenization
- 2026GraphVQ: Structure-Aware Autoregressive Decoding over Context-Quantized Graph Tokens
- 2023rm A2Q: Aggregation-Aware Quantization for Graph Neural Networks
- 2026Beyond Stationarity: Rethinking Codebook Collapse in Vector Quantization
- 2025Scalable Training for Vector-Quantized Networks with 100% Codebook Utilization
- 2023Low-bit Quantization for Deep Graph Neural Networks with Smoothness-aware Message Propagation
- 2024Balance of Number of Embedding and their Dimensions in Vector Quantization