The statistical physics of real-world networks

G Cimini, T Squartini, F Saracco, D Garlaschelli… - Nature Reviews …, 2019 - nature.com
In the past 15 years, statistical physics has been successful as a framework for modelling
complex networks. On the theoretical side, this approach has unveiled a variety of physical …

A Bayesian machine scientist to aid in the solution of challenging scientific problems

R Guimerà, I Reichardt, A Aguilar-Mogas… - Science …, 2020 - science.org
Closed-form, interpretable mathematical models have been instrumental for advancing our
understanding of the world; with the data revolution, we may now be in a position to uncover …

Quantifying randomness in real networks

C Orsini, MM Dankulov, P Colomer-de-Simón… - Nature …, 2015 - nature.com
Represented as graphs, real networks are intricate combinations of order and disorder.
Fixing some of the structural properties of network models to their values observed in real …

Clustering implies geometry in networks

D Krioukov - Physical review letters, 2016 - APS
Network models with latent geometry have been used successfully in many applications in
network science and other disciplines, yet it is usually impossible to tell if a given real …

Practical network modeling via tapered exponential-family random graph models

B Blackburn, MS Handcock - Journal of Computational and …, 2023 - Taylor & Francis
Abstract Exponential-family Random Graph Models (ERGMs) have long been at the forefront
of the analysis of relational data. The exponential-family form allows complex network …

A multiscale cerebral neurochemical connectome of the rat brain

HR Noori, J Schöttler, M Ercsey-Ravasz… - PLoS …, 2017 - journals.plos.org
Understanding the rat neurochemical connectome is fundamental for exploring neuronal
information processing. By using advanced data mining, supervised machine learning, and …

Classical information theory of networks

F Radicchi, D Krioukov, H Hartle… - Journal of Physics …, 2020 - iopscience.iop.org
Existing information-theoretic frameworks based on maximum entropy network ensembles
are not able to explain the emergence of heterogeneity in complex networks. Here, we fill …

Exponential random simplicial complexes

K Zuev, O Eisenberg, D Krioukov - Journal of Physics A …, 2015 - iopscience.iop.org
Exponential random graph models have attracted significant research attention over the past
decades. These models are maximum-entropy ensembles subject to the constraints that the …

Entropy rate of random walks on complex networks under stochastic resetting

Y Wang, H Chen - Physical Review E, 2022 - APS
Stochastic processes under resetting at random times have attracted a lot of attention in
recent years and served as illustrations of nontrivial and interesting static and dynamic …

Maximum Likelihood Estimation Under Constraints: Singularities and Random Critical Points

S Ghosh, S Chaudhuri… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We investigate the procedure of semi-parametric maximum likelihood estimation under
constraints on summary statistics. Such a procedure results in a discrete probability …