1 code implementation • 2 Jan 2024 • Tiago P. Peixoto
Network reconstruction consists in determining the unobserved pairwise couplings between $N$ nodes given only observational data on the resulting behavior that is conditioned on those couplings -- typically a time-series or independent samples from a graphical model.
no code implementations • 17 Oct 2022 • Tiago P. Peixoto, Alec Kirkley
Here we present a solution to this problem that associates any community detection objective, inferential or descriptive, with its corresponding implicit network generative model.
1 code implementation • 5 Jan 2022 • Felipe Vaca-Ramírez, Tiago P. Peixoto
We perform a systematic analysis of the quality of fit of the stochastic block model (SBM) for 275 empirical networks spanning a wide range of domains and orders of size magnitude.
1 code implementation • 30 Nov 2021 • Tiago P. Peixoto
In this way, they are able to provide insights into the mechanisms of network formation, and separate structure from randomness in a manner supported by statistical evidence.
1 code implementation • 30 Jun 2021 • Charles C. Hyland, Yuanming Tao, Lamiae Azizi, Martin Gerlach, Tiago P. Peixoto, Eduardo G. Altmann
We are interested in the widespread problem of clustering documents and finding topics in large collections of written documents in the presence of metadata and hyperlinks.
1 code implementation • 7 Jan 2021 • Tiago P. Peixoto
Network homophily, the tendency of similar nodes to be connected, and transitivity, the tendency of two nodes being connected if they share a common neighbor, are conflated properties in network analysis, since one mechanism can drive the other.
no code implementations • 11 Aug 2020 • Jean-Gabriel Young, Giovanni Petri, Tiago P. Peixoto
Pairwise representations nonetheless remain ubiquitous, because higher-order interactions are often not recorded explicitly in network data.
1 code implementation • 25 Jun 2020 • Lizhi Zhang, Tiago P. Peixoto
We develop a principled methodology to infer assortative communities in networks based on a nonparametric Bayesian formulation of the planted partition model.
1 code implementation • 28 May 2020 • Tiago P. Peixoto
As an attempt to extract understanding from a population of alternative solutions, many methods exist to establish a consensus among them in the form of a single partition "point estimate" that summarizes the whole distribution.
1 code implementation • 16 Mar 2020 • Tiago P. Peixoto
We present a Markov chain Monte Carlo scheme based on merges and splits of groups that is capable of efficiently sampling from the posterior distribution of network partitions, defined according to the stochastic block model (SBM).
1 code implementation • 18 Feb 2020 • Tiago P. Peixoto
Empirical networks are often globally sparse, with a small average number of connections per node, when compared to the total size of the network.
1 code implementation • 26 Mar 2019 • Tiago P. Peixoto
We present a scalable nonparametric Bayesian method to perform network reconstruction from observed functional behavior that at the same time infers the communities present in the network.
1 code implementation • 9 Jun 2018 • Tiago P. Peixoto
These approaches, however, rely on assumptions of uniform error rates and on direct estimations of the existence of each edge via repeated measurements, something that is currently unavailable for the majority of network data.
no code implementations • 24 Dec 2017 • Tiago P. Peixoto, Laetitia Gauvin
Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network.
Physics and Society Social and Information Networks Data Analysis, Statistics and Probability
1 code implementation • 4 Aug 2017 • Martin Gerlach, Tiago P. Peixoto, Eduardo G. Altmann
By adapting existing community-detection methods -- using a stochastic block model (SBM) with non-parametric priors -- we obtain a more versatile and principled framework for topic modeling (e. g., it automatically detects the number of topics and hierarchically clusters both the words and documents).
1 code implementation • 4 Aug 2017 • Tiago P. Peixoto
We present a Bayesian formulation of weighted stochastic block models that can be used to infer the large-scale modular structure of weighted networks, including their hierarchical organization.
1 code implementation • 29 May 2017 • Tiago P. Peixoto
This chapter provides a self-contained introduction to the use of Bayesian inference to extract large-scale modular structures from network data, based on the stochastic blockmodel (SBM), as well as its degree-corrected and overlapping generalizations.
1 code implementation • 22 May 2017 • Toni Vallès-Català, Tiago P. Peixoto, Roger Guimerà, Marta Sales-Pardo
A principled approach to understand network structures is to formulate generative models.
1 code implementation • 9 Oct 2016 • Tiago P. Peixoto
A very efficient inference algorithm that scales well not only for networks with a large number of nodes and edges, but also with an unlimited number of modules.
1 code implementation • 1 Apr 2016 • Darko Hric, Tiago P. Peixoto, Santo Fortunato
The empirical validation of community detection methods is often based on available annotations on the nodes that serve as putative indicators of the large-scale network structure.
no code implementations • 15 Sep 2015 • Tiago P. Peixoto, Martin Rosvall
In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions.
1 code implementation • 9 Apr 2015 • Tiago P. Peixoto
These different types of interactions are often represented as layers, attributes on the edges or as a time-dependence of the network structure.
Physics and Society Data Analysis, Statistics and Probability
1 code implementation • 10 Sep 2014 • Tiago P. Peixoto
In this work, we present a method of model selection based on the minimum description length criterion and posterior odds ratios that is capable of fully accounting for the increased degrees of freedom of the larger models, and selects the best one according to the statistical evidence available in the data.
Data Analysis, Statistics and Probability Disordered Systems and Neural Networks Social and Information Networks Computational Physics Physics and Society
1 code implementation • 16 Oct 2013 • Tiago P. Peixoto
Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function.
1 code implementation • 16 Oct 2013 • Tiago P. Peixoto
We present an efficient algorithm for the inference of stochastic block models in large networks.
1 code implementation • 19 Dec 2012 • Tiago P. Peixoto
We investigate the detectability of modules in large networks when the number of modules is not known in advance.