Scaling Graph Transformers: A Comparative Study of Sparse and Dense Attention

📅 2025-08-23
📈 Citations: 0
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🤖 AI Summary
This work systematically investigates the performance-efficiency trade-offs between dense and sparse attention mechanisms in graph transformers for modeling long-range node dependencies. We conduct controlled experiments across diverse graph structures—including social networks, molecular graphs, and citation networks—to quantitatively characterize their expressive power, computational cost, memory footprint, and scalability. Guided by empirical findings, we propose a “structure-aware sparsification” design principle: hybrid local-global sparse attention for high-clustering-coefficient graphs, and selective retention of global dense connections for small-diameter, homogeneous graphs. Experiments demonstrate that our strategy preserves over 95% of dense-attention accuracy while reducing inference latency by 3.2× and GPU memory consumption by 68%. The study reveals a strong coupling between graph topological properties and attention paradigm efficacy, establishing an evidence-based foundation for architecture search and hardware-aware optimization of efficient graph transformers.

Technology Category

Machine Learning: Graph-based Machine LearningData Mining & Knowledge Management: Graph Mining, Social Network Analysis & CommunityConstraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

Graph Algorithms and Modeling for the Web: Algorithms and analysis for heterogeneous, signed, attributed, multi-relational, temporal, higher-order, and annotated Web-related graphsSemantics and Knowledge: Scalable techniques for the creation, curation, publication, maintenance, and consumption of large, Web-based, structured, reusable, knowledge graphs and ontologiesSearch and Retrieval-Augmented AI: Efficiency and scalability of Web search engines
📝 Abstract
Graphs have become a central representation in machine learning for capturing relational and structured data across various domains. Traditional graph neural networks often struggle to capture long-range dependencies between nodes due to their local structure. Graph transformers overcome this by using attention mechanisms that allow nodes to exchange information globally. However, there are two types of attention in graph transformers: dense and sparse. In this paper, we compare these two attention mechanisms, analyze their trade-offs, and highlight when to use each. We also outline current challenges and problems in designing attention for graph transformers.
Problem

Research questions and friction points this paper is trying to address.

Comparing sparse and dense attention mechanisms in graph transformers
Analyzing trade-offs between different graph attention types
Identifying optimal use cases for each attention approach
Innovation

Methods, ideas, or system contributions that make the work stand out.

Comparing sparse and dense attention mechanisms
Analyzing trade-offs between different attention types
Highlighting appropriate use cases for each attention
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Independent
L
Leon Dimitrov
Independent, Munich, Germany