Bristol implements techniques developed by Mezzadri with parallel processing capabilities and a data model for further processing for generating random matrices. Circular module provides methods to generate matrices from Circular Unitary Ensemble (CUE), Circular Ortogonal Ensemble (COE) and Circular Symplectic Ensemble (CSE). Additional spectral analysis utilities are also implemented, such as computation of spectral density and spectral ergodicity.
Project description
Bristol
Parallel Random Matrix tools.
Bristol implements techniques developed by Mezzadri with parallel processing capabilities and a data model for further processing for generating random matrices. Circular module provides methods to generate matrices from Circular Unitary Ensemble (CUE), Circular Ortogonal Ensemble (COE) and Circular Symplectic Ensemble (CSE). Additional spectral analysis utilities are also implemented, such as computation of spectral density and spectral ergodicity.
Features
- Generation of Circular Ensembles: CUE, COE and CSE.
- Random matrices: Reproducibility both in serial and parallel processing.
- Eigenvalue Spectra, spectral densitiy.
- Kullbach-Leibler divergence and spectral ergodicity measure functionality.
Installation
Install with pip from pypi.
pip install bristol
To use the latest development version
pip install -upgrade git+https://github.com/msuzen/bristol.git
Documentation
-
Basics of circular ensembles ipynb.
-
Computing spectral ergodicity for generated matrices ipynb. This is to reproduce the main figure from arXiv:1704.08693.
Contact
- Please create an issue for any type of questions or contact
msuzen.
References
-
Berry, M V & Pragya Shukla 2013, Hearing random matrices and random waves, New. J. Phys. 15 013026 (11pp) berry456
-
Spectral Ergodicity in Deep Learning Architectures via Surrogate Random Matrices, Mehmet Süzen, Cornelius Weber, Joan J. Cerdà, arXiv:1704.08693
Citation
If you use the ideas from this package please do cite as follows
@article{suezen2017a,
title={Spectral Ergodicity in Deep Learning Architectures via Surrogate Random Matrices},
author={Mehmet Süzen and Cornelius Weber and Joan J. Cerdà},
year={2017},
eprint={1704.08303},
archivePrefix={arXiv},
primaryClass={stat.ML}
}
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