CombOpt Zero

CombOpt Zero is a general-purpose solver based on AlphaGo Zero for combinatorial problems on graphs. Paper: Solving NP-Hard Problems on Graphs with Extended AlphaGo Zero

You can try MinimumVertexCover, MaximumIndependentSet, FeedbackVertexSet, MaxCut and MaximumClique, by running the code in this repository.

Try on Docker

Install Docker and just run docker/install.sh, docker/train.sh and docker/eval.sh!

Note

• By default, it solves MaximumClique
• Change docker/config.sh and {problem}/config.sh for other settings
• Hyperparameters are modified so that the training and evaluation can be executed quickly on laptops without GPUs
• But still, it will obtain pretty good solutions for real-world graphs of thousands of nodes even if trained for only a few minutes (Try and check it by yourself!)
• docker/train.sh may yield some errors, possibly due to the file system of Docker. Please refer to FAQs.

Build and Run

If you just want to try on docker, please ignore this section.

1. Download LibTorch from https://pytorch.org/
   Download version 1.3.0. Newer version may cause errors. If you use Linux, download Pre-cxx11 ABI version.

2. Build library
   Please also refer to docker/install.sh if you have some problem.

$ cd max-clique/lib
$ mkdir build
$ cd build
$ cmake -DCMAKE_PREFIX_PATH=/path/to/libtorch ..
$ make

3. Generate scripts
   First, modify hyperparameters and other parameters in {problem}/config.sh. Then,

$ cd max-clique
# create two scripts for training and evalution, named t_sample.sh and e_sample.sh, based on config.sh
$ echo sample | python script_generator.py

4. Start training
   You can terminate the training anytime. If you want to restart the training, just run the same command again. Model files and temporary files are stored in {problem}/results/{configuration}/.

$ cd max-clique
$ ./t_sample.sh

5. Start evaluation

$ cd max-clique
$ ./e_sample.sh

Dataset

All the test graphs used in our experiments are in test_graphs/. Some of them are collected from Dimacs Vertex Cover instances and http://networkrepository.com/.

Links

• Prototype for MaximumIndependentSet in Python: https://github.com/knshnb/MIS_solver

Cite

Please cite our paper if you use our code in your work:

@article{Xu/Abe/2020,
    title={Solving NP-Hard Problems on Graphs with Extended AlphaGo Zero},
    author={Zijian Xu and Kenshin Abe and Issei Sato and Masashi Sugiyama},
    journal={arXiv preprint arXiv:1905.11623},
    year={2020}
}