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GNN implementations for "Expectation Complete Graph Representations with Homomorphisms" (ICML 2023)

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HomCountGNNs

This repository contains the code of the GNN part of the paper Expectation-Complete Graph Representations with Homomorphisms (ICML, 2023).

Setup

  1. Clone repository
git clone https://github.com/ocatias/HomCountGNNs/
cd HomCountGNNs
  1. Create and activate conda environment (this assume miniconda is installed)
conda create --name HOM
conda activate HOM
  1. Add this directory to the python path. Let $PATH be the path to where this repository is stored (i.e. the result of running pwd).
export PYTHONPATH=$PYTHONPATH:$PATH
  1. Install PyTorch (Geometric)
conda install pytorch==1.12.0 torchvision==0.13.0 torchaudio==0.12.0 -c pytorch
conda install -c pyg pyg=2.2.0
  1. Install remaining dependencies
pip install -r requirements.txt

Recreating experiments

Run experimentes with the following scripts. Results will be in the Results directory.

Main experiments. Homomorphism counts against no homomorphism counts:

bash Scripts/large_datasets.sh
bash Scripts/small_datasets.sh

Ablation. Impact of misaligned homomorphism counts:

bash Scripts/misaligned_feats.sh

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GNN implementations for "Expectation Complete Graph Representations with Homomorphisms" (ICML 2023)

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