Simulation of Systems of interacting mean-field Particles with High Efficiency

Please visit the website for a full documentation.

The SiSyPHE library builds on recent advances in hardware and software for the efficient simulation of large scale interacting particle systems, both on the GPU and on the CPU. The implementation is based on recent libraries originally developed for machine learning purposes to significantly accelerate tensor (array) computations, namely the PyTorch package and the KeOps library. The versatile object-oriented Python interface is well suited to the comparison of new and classical many-particle models, enabling ambitious numerical experiments and leading to novel conjectures. The SiSyPHE library speeds up both traditional Python and low-level implementations by one to three orders of magnitude for systems with up to several millions of particles.

Citation

If you use SiSyPHE in a research paper, please cite the JOSS publication :

@article{Diez2021,
  doi = {10.21105/joss.03653},
  url = {https://doi.org/10.21105/joss.03653},
  year = {2021},
  publisher = {The Open Journal},
  volume = {6},
  number = {65},
  pages = {3653},
  author = {Antoine Diez},
  title = {`SiSyPHE`: A Python package for the Simulation of Systems of interacting mean-field Particles with High Efficiency},
  journal = {Journal of Open Source Software}
}

Diez, A., (2021). SiSyPHE: A Python package for the Simulation of Systems of interacting mean-field Particles with High Efficiency. Journal of Open Source Software, 6(65), 3653, https://doi.org/10.21105/joss.03653

Installation

Requirements

• Python 3 with packages NumPy and SciPy
• PyTorch : version>= 1.5
• PyKeops : version>= 1.5

Using pip

In a terminal, type:

pip install sisyphe

On Google Colab

The easiest way to get a working version of SiSyPHE is to use the free virtual machines provided by Google Colab.

1. On a new Colab notebook, navigate to Edit→Notebook Settings and select GPU from the Hardware Accelerator drop-down.

2. Install PyKeops with the Colab specifications first by typing

!pip install pykeops[colab]

3. Install SiSyPHE by typing

!pip install sisyphe

Testing the installation

In a Python terminal, type

import sisyphe
sisyphe.test_sisyphe()

Contributing

Contributions to make SiSyPHE grow are warmly welcome! Examples of possible (and ongoing) developments include the following.

• The implementation of new models.

• The implementation of more complex boundary conditions and of models on non-flat manifolds.

• An improved visualization method (currently only basic visualization functions relying on Matplotlib are implemented).

Contributions can be made by opening an issue on the GitHub repository, via a pull request or by contacting directly the author.

Author

• Antoine Diez, Imperial College London

Acknowledgments

The development of this library would not have been possible without the help of Jean Feydy, his constant support and precious advice. This project was initiated by Pierre Degond and has grown out of many discussions with him.