aisa 1.0.0

Auto-Information State Aggregation

This is a python module aimed at partitioning networks through the maximization of Auto-Information. If you use this code, please cite the following paper:

State aggregations in Markov chains and block models of networks,
Faccin, Schaub and Delvenne, ArXiv 2005.00337

The module provides also a function to compute the Entrogram of a network with a suitable partition. The Entrogram provides a concise, visual characterization of the Markovianity of the dynamics projected to the partition space. In case you use this, please cite the following paper:

Entrograms and coarse graining of dynamics on complex networks,
Faccin, Schaub and Delvenne, Journal of Complex Networks, 6(5) p. 661-678 (2018),
ArXiv 1711.01987

Getting the code

Requirements

The following modules are required to aisa to work properly:

• numpy and scipy
• networkx
• tqdm (optional)

Install

Download the code here and unzip locally or clone the git repository from Github.

On the terminl run:

pip install --user path/to/module

Uninstall

On the terminl run:

$ pip uninstall aisa

Usage

Read the online documentation that describes all classes and functions of the module.

Some simple notebook examples on module usage are provided in the examples subfolder:

• a simple example of computing and drawing the entrogram and detecting the partition that maximize the auto-information in a well know small social network, see in nbviewer
• an example on how to build a range dependent network and find the partition that maximize auto-nformation, see in nbviewer

License

Copyright: Mauro Faccin (2020)

AISA is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

AISA is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

Check LICENSE.txt for details.