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The official implementation for ICML2025 paper "Supercharging Graph Transformers with Advective Diffusion"

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Advective Diffusion Transformer (AdvDIFFormer)

The official implementation for ICML2025 paper "Supercharging Graph Transformers with Advective Diffusion" (Paper).

AdvDIFFormer is a graph Transformer model derived from the closed-form solution of advective diffusion equation models that are provably resilient to distribution shifts of graph topologies. The model has two implementation versions AdvDIFFormer-i and AdvDIFFormer-s (with linear complexity w.r.t. node numbers).

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Results

The model is applied to information networks, dynamic protein interactions and molecular mapping operator generation.

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Run the codes

  • Information Networks: node-classification
  • Dynamic Protein Interactions: dppin
  • Molecular Mapping Generation: ham

Please refer to the bash script run.sh in each folder for running the training and evaluation pipeline.

Related Works

AdvDIFFormer is built on our early works about scalable graph Transformers:

  • NodeFormer: a scalable Transformer with linear complexity
  • DIFFormer: a principled Transformer derived from diffusion equations with energy constraint
  • SGFormer: a simplified Transformer with single-layer efficient attention and approximation-free linear complexity

Citation

If you find our code and model useful, please cite our work. Thank you!

      @inproceedings{
        wu2025advdifformer,
        title={Supercharging Graph Transformers with Advective Diffusion},
        author={Qitian Wu and Chenxiao Yang and Kaipeng Zeng and Michael Bronstein},
        booktitle={International Conference on Machine Learning (ICML)},
        year={2025}
        }

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The official implementation for ICML2025 paper "Supercharging Graph Transformers with Advective Diffusion"

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