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Deep Graph Matching via Blackbox Differentiation of Combinatorial Solvers

This repository contains PyTorch implementation of the paper: Deep Graph Matching via Blackbox Differentiation of Combinatorial Solvers .

It also contains the configuration files to reproduce the numbers reported in the paper for the following experiments:

• PascalVOC Using keypoint-intersection filtering and unfiltered keypoints. Also with multi-matching solver in postprocessing.
• Willow Pre-training on PascalVOC and fine tuning on Willow can be controlled separately
• SPair-71k With the default intersection keypoint filetering.

See also the LPMP repository with the combinatorial solvers for graph matching and multi-graph matching as well corresponding PyTorch modules. The solvers were made differentiable via blackbox-backprop (Differentiation of Blackbox Combinatorial Solvers)

Sheep	Chair	Airplane

Get started

1. Check if gcc-9, g++-9, cmake are available (for building lpmp_py).
2. Check if findutils (>=4.7.0) is available
3. Check if hdf5 is installed (apt install libhdf5-serial-dev)
4. Check if cuda 10.1 and cudnn 7 are available
5. Check if texlive-latex-extra is installed (apt install texlive-latex-extra)
6. Run pipenv install (at your own risk with --skip-lock to save some time).
7. Run chmod +x ./download_data.sh && ./download_data.sh.
8. Try running a training example, if the import of torch_geometric fails, follow this.

Training

Run training and evaluation

python3 -m pipenv shell
python3 train_eval.py path/to/your/json

where path/to/your/json is the path to your configuration file. Configurations that reproduce the scores reported in the paper are in ./experiments.

Willow

In order to run Willow with an architecture pretrained on PascalVOC, you need to create a snapshot to warm-start with. For this purpose, run python3 train_eval.py experiments/willow/voc_pretrain.json. Then enter the path to the checkpoint into pretrain_[no]finetune.json in the field warmstart_path.

Troubleshooting

• NANs or significantly worse scores Check your installation of torch_geometric, torch_sparse, torche_scatter, torch_cluster and torch_spline_conv. Go to the repositories and check the latest installation instructions and make sure to compile locally.

Citation

@article{rolinek2020deep,
    title={Deep Graph Matching via Blackbox Differentiation of Combinatorial Solvers},
    author={Michal Rolínek and Paul Swoboda and Dominik Zietlow and Anselm Paulus and Vít Musil and Georg Martius},
    year={2020},
    eprint={2003.11657},
    archivePrefix={arXiv},
    primaryClass={cs.LG}
}