Methods › Graphs › Graph Embeddings › Laplacian PE
Laplacian Positional Encodings
Laplacian PE
Introduced by Vijay Prakash Dwivedi et al. in Benchmarking Graph Neural Networks
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
Laplacian eigenvectors represent a natural generalization of the Transformer positional encodings (PE) for graphs as the eigenvectors of a discrete line (NLP graph) are the cosine and sinusoidal functions. They help encode distance-aware information (i.e., nearby nodes have similar positional features and farther nodes have dissimilar positional features).
Hence, Laplacian Positional Encoding (PE) is a general method to encode node positions in a graph. For each node, its Laplacian PE is the k smallest non-trivial eigenvectors.
Papers archive 2025-07-28
30 shown of 296, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.
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H²GFM: Towards unifying Homogeneity and Heterogeneity on Text-Attributed Graphs 10 Jun 2025 · 0 repositories · arXiv:2506.08298
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HGFormer: A Hierarchical Graph Transformer Framework for Two-Stage Colonel Blotto Games via Reinforcement Learning 10 Jun 2025 · 0 repositories · arXiv:2506.08580
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Quantum Graph Transformer for NLP Sentiment Classification 9 Jun 2025 · 0 repositories · arXiv:2506.07937
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OpenGT: A Comprehensive Benchmark For Graph Transformers 5 Jun 2025 · 1 repository · arXiv:2506.04765
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Learning Pyramid-structured Long-range Dependencies for 3D Human Pose Estimation 3 Jun 2025 · 1 repository · arXiv:2506.02853
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Relational Graph Transformer 16 May 2025 · 1 repository · arXiv:2505.10960Syntology ran 1 of 4 samples · 3 unverified
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All You Need Is Synthetic Task Augmentation 15 May 2025 · 0 repositories · arXiv:2505.10120
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SAR-GTR: Attributed Scattering Information Guided SAR Graph Transformer Recognition Algorithm 13 May 2025 · 0 repositories · arXiv:2505.08547
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Structural-Temporal Coupling Anomaly Detection with Dynamic Graph Transformer 13 May 2025 · 1 repository · arXiv:2505.08330
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Fused3S: Fast Sparse Attention on Tensor Cores 12 May 2025 · 1 repository · arXiv:2505.08098
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Mitigating Degree Bias in Graph Representation Learning with Learnable Structural Augmentation and Structural Self-Attention 21 Apr 2025 · 1 repository · arXiv:2504.15075
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HAECcity: Open-Vocabulary Scene Understanding of City-Scale Point Clouds with Superpoint Graph Clustering 18 Apr 2025 · 0 repositories · arXiv:2504.13590
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GT-SVQ: A Linear-Time Graph Transformer for Node Classification Using Spiking Vector Quantization 16 Apr 2025 · 1 repository · arXiv:2504.11840
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Towards A Universal Graph Structural Encoder 15 Apr 2025 · 0 repositories · arXiv:2504.10917
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Ensemble-Enhanced Graph Autoencoder with GAT and Transformer-Based Encoders for Robust Fault Diagnosis 13 Apr 2025 · 0 repositories · arXiv:2504.09427
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NetTAG: A Multimodal RTL-and-Layout-Aligned Netlist Foundation Model via Text-Attributed Graph 12 Apr 2025 · 1 repository · arXiv:2504.09260
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Leveraging Auto-Distillation and Generative Self-Supervised Learning in Residual Graph Transformers for Enhanced Recommender Systems 8 Apr 2025 · 0 repositories · arXiv:2504.10500
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Graphs are everywhere -- Psst! In Music Recommendation too 3 Apr 2025 · 0 repositories · arXiv:2504.02598
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Graph Transformer-Based Flood Susceptibility Mapping: Application to the French Riviera and Railway Infrastructure Under Climate Change 31 Mar 2025 · 0 repositories · arXiv:2504.03727
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TacticExpert: Spatial-Temporal Graph Language Model for Basketball Tactics 13 Mar 2025 · 0 repositories · arXiv:2503.10722
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FMCHS: Advancing Traditional Chinese Medicine Herb Recommendation with Fusion of Multiscale Correlations of Herbs and Symptoms 7 Mar 2025 · 0 repositories · arXiv:2503.05167
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Graph Transformer with Disease Subgraph Positional Encoding for Improved Comorbidity Prediction 4 Mar 2025 · 1 repository · arXiv:2503.03046
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Co-MTP: A Cooperative Trajectory Prediction Framework with Multi-Temporal Fusion for Autonomous Driving 23 Feb 2025 · 1 repository · arXiv:2502.16589
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Lightweight yet Efficient: An External Attentive Graph Convolutional Network with Positional Prompts for Sequential Recommendation 21 Feb 2025 · 1 repository · arXiv:2502.15331
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Capturing Rich Behavior Representations: A Dynamic Action Semantic-Aware Graph Transformer for Video Captioning 19 Feb 2025 · 0 repositories · arXiv:2502.13754
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GLTW: Joint Improved Graph Transformer and LLM via Three-Word Language for Knowledge Graph Completion 17 Feb 2025 · 0 repositories · arXiv:2502.11471
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Towards Mechanistic Interpretability of Graph Transformers via Attention Graphs 17 Feb 2025 · 1 repository · arXiv:2502.12352
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Biologically Plausible Brain Graph Transformer 13 Feb 2025 · 1 repository · arXiv:2502.08958Syntology ran 3 of 8 samples · 5 unverified · 8 pointer-only (licence)
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Deep Semantic Graph Learning via LLM based Node Enhancement 11 Feb 2025 · 0 repositories · arXiv:2502.07982
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MedGNN: Towards Multi-resolution Spatiotemporal Graph Learning for Medical Time Series Classification 6 Feb 2025 · 1 repository · arXiv:2502.04515
Tasks archive 2025-07-28
20 shown of 275 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.
Usage over time archive 2025-07-28
Components: the archive holds no method-to-method composition, so PwC's Components table cannot be rebuilt; the Papers list carries no Results column for the same reason (the archive does not join its leaderboard rows to method tags).
Categories archive 2025-07-28
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections