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Thesis and citations

TL;DR

MENoBiS implements the maximum-entropy framework for non-binary network ensembles: distinguishable events (ME), aggregated binary layers (B), and indistinguishable events (W).

Primary thesis

The thesis title is Non-binary maximum entropy network ensembles and their application to the study of urban mobility. Handle: https://hdl.handle.net/10803/400560.

CITATION.cff content

Field Value
cff-version 1.2.0
title MENoBiS: Max Entropy NOn Binary Suite
type software
version 1.0.1
license GPL-3.0-or-later
repository-code https://github.com/uladribia/menobis
url https://uladribia.github.io/menobis/
message If you use MENoBiS, please cite the software and the scientific references below.

Abstract from CITATION.cff:

MENoBiS is a Rust and Python library for fitting, sampling, filtering, and analysing maximum-entropy null models of directed non-binary networks with non-negative integer node-pair occupations.

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Core references

Topic Reference
Thesis O. Sagarra, Non-binary maximum entropy network ensembles and their application to the study of urban mobility, PhD thesis, 2015. https://hdl.handle.net/10803/400560
Multi-edge framework O. Sagarra, C. J. Pérez Vicente, A. Díaz-Guilera, Statistical mechanics of multiedge networks, Phys. Rev. E 88, 062806. DOI: 10.1103/PhysRevE.88.062806
Fixed-strength magnitudes O. Sagarra, F. Font-Clos, C. J. Pérez-Vicente, A. Díaz-Guilera, The configuration multi-edge model, EPL 107, 38002. DOI: 10.1209/0295-5075/107/38002
Urban mobility reconstruction O. Sagarra, M. Szell, P. Santi, A. Díaz-Guilera, C. Ratti, Supersampling and Network Reconstruction of Urban Mobility, PLOS ONE. DOI: 10.1371/journal.pone.0134508
Same constraints with different event nature leads to different statistics O. Sagarra, C. J. Pérez Vicente, A. Díaz-Guilera, Role of adjacency-matrix degeneracy in maximum-entropy-weighted network models, Phys. Rev. E 92, 052816. DOI: 10.1103/PhysRevE.92.052816

Mapping to MENoBiS names

Thesis idea MENoBiS name
distinguishable events ModelFamily.ME
aggregated binary layers ModelFamily.B with layers=M
indistinguishable events ModelFamily.W with layers=M
grand-canonical independent pairs Ensemble.GRAND_CANONICAL
fixed total ME events Ensemble.CANONICAL
fixed ME strength stubs Ensemble.MICROCANONICAL

See Equations for the compact formula map.