The statistical physics of real-world networks
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 …
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 …
understanding of the world; with the data revolution, we may now be in a position to uncover …
Quantifying randomness in real networks
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 …
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 …
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 …
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 …
information processing. By using advanced data mining, supervised machine learning, and …
Classical information theory of networks
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 …
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 …
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 …
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 …
constraints on summary statistics. Such a procedure results in a discrete probability …