Graph Convolutions Enrich the Self-Attention in Transformers!
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Abstract (arXiv)
Transformers, renowned for their self-attention mechanism, have achieved state-of-the-art performance across various tasks in natural language processing, computer vision, time-series modeling, etc. However, one of the challenges with deep Transformer models is the oversmoothing problem, where representations across layers converge to indistinguishable values, leading to significant performance degradation. We interpret the original self-attention as a simple graph filter and redesign it from a graph signal processing (GSP) perspective. We propose a graph-filter-based self-attention (GFSA) to learn a general yet effective one, whose complexity, however, is slightly larger than that of the original self-attention mechanism. We demonstrate that GFSA improves the performance of Transformers in various fields, including computer vision, natural language processing, graph-level tasks, speech recognition, and code classification.
Key facts. Cited by 11 papers in the map (data through 14 Oct 2026). Builds on 83 of its 109 references that are in the map. First posted on arXiv 7 Dec 2023.
Builds on
83 of 109 references.
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38 more
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50 most cited of 83 All 83 (JSON)
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Citing papers per year: 2023: 1; 2024: 2; 2025: 4; 2026: 4.
11 papers.
- 2024Setting the Record Straight on Transformer Oversmoothingcited by 21
- 2025Learning Advanced Self-Attention for Linear Transformers in the Singular Value Domaincited by 4
- 2023RDGCL: Reaction-Diffusion Graph Contrastive Learning for Recommendationcited by 3
- 2025Transformers as Unrolled Inference in Probabilistic Laplacian Eigenmaps: An Interpretation and Potential Improvementscited by 3
- 2025Are Graph Transformers Necessary? Efficient Long-Range Message Passing with Fractal Nodes in MPNNscited by 3
- 2026Capacity-Controlled Global Attention for Graph Transformerscited by 2
- 2024Graph Contrastive Learning with Low-Rank Regularization and Low-Rank Attention for Noisy Node Classificationcited by 1
- 2025TV-Rec: Time-Variant Convolutional Filter for Sequential Recommendationcited by 0
- 2026Graph Signal Processing Meets Mamba2: Adaptive Filter Bank via Delta Modulationcited by 0
- 2026FAiT: Frequency-Aware Inverted Transformer for Multivariate Time Series Forecastingcited by 0
- 2026Difference-of-Convex Regularization for Graph Learning by Differentiable Programmingcited by 0
- 2026Difference-of-Convex Regularization for Graph Learning by Differentiable Programming13 Aug 2026
- 2026FAiT: Frequency-Aware Inverted Transformer for Multivariate Time Series Forecasting31 May 2026
- 2026Capacity-Controlled Global Attention for Graph Transformers19 Apr 2026
- 2026Graph Signal Processing Meets Mamba2: Adaptive Filter Bank via Delta Modulation20 Mar 2026
- 2025Are Graph Transformers Necessary? Efficient Long-Range Message Passing with Fractal Nodes in MPNNs17 Nov 2025
- 2025TV-Rec: Time-Variant Convolutional Filter for Sequential Recommendation29 Oct 2025
- 2025Transformers as Unrolled Inference in Probabilistic Laplacian Eigenmaps: An Interpretation and Potential Improvements28 Jul 2025
- 2025Learning Advanced Self-Attention for Linear Transformers in the Singular Value Domain13 May 2025
- 2024Graph Contrastive Learning with Low-Rank Regularization and Low-Rank Attention for Noisy Node Classification14 Feb 2024
- 2024Setting the Record Straight on Transformer Oversmoothing9 Jan 2024
- 2023RDGCL: Reaction-Diffusion Graph Contrastive Learning for Recommendation27 Dec 2023