Search Results for author: Tiago P. Peixoto

Found 26 papers, 22 papers with code

Scalable network reconstruction in subquadratic time

1 code implementation2 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.

Implicit models, latent compression, intrinsic biases, and cheap lunches in community detection

no code implementations17 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.

Community Detection Descriptive

Systematic assessment of the quality of fit of the stochastic block model for empirical networks

1 code implementation5 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.

Stochastic Block Model

Descriptive vs. inferential community detection in networks: pitfalls, myths, and half-truths

1 code implementation30 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.

Community Detection Descriptive

Multilayer Networks for Text Analysis with Multiple Data Types

1 code implementation30 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.

Disentangling homophily, community structure and triadic closure in networks

1 code implementation7 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.

Community Detection Graph Reconstruction +2

Hypergraph reconstruction from network data

no code implementations11 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.

Statistical inference of assortative community structures

1 code implementation25 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.

Community Detection Model Selection +1

Revealing consensus and dissensus between network partitions

1 code implementation28 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.

Community Detection Model Selection

Merge-split Markov chain Monte Carlo for community detection

1 code implementation16 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).

Community Detection Stochastic Block Model

Latent Poisson models for networks with heterogeneous density

1 code implementation18 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.

Network reconstruction and community detection from dynamics

1 code implementation26 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.

Community Detection

Reconstructing networks with unknown and heterogeneous errors

1 code implementation9 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.

Bayesian Inference Stochastic Block Model

Change points, memory and epidemic spreading in temporal networks

no code implementations24 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

A network approach to topic models

1 code implementation4 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).

Community Detection Model Selection +3

Nonparametric weighted stochastic block models

1 code implementation4 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.

Model Selection

Bayesian stochastic blockmodeling

1 code implementation29 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.

Bayesian Inference Model Selection

Nonparametric Bayesian inference of the microcanonical stochastic block model

1 code implementation9 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.

Bayesian Inference Model Selection +1

Network structure, metadata and the prediction of missing nodes and annotations

1 code implementation1 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.

Community Detection

Modeling sequences and temporal networks with dynamic community structures

no code implementations15 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.

Bayesian Inference

Inferring the mesoscale structure of layered, edge-valued and time-varying networks

1 code implementation9 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

Model selection and hypothesis testing for large-scale network models with overlapping groups

1 code implementation10 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

Hierarchical Block Structures and High-resolution Model Selection in Large Networks

1 code implementation16 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.

Community Detection Model Selection +1

Efficient Monte Carlo and greedy heuristic for the inference of stochastic block models

1 code implementation16 Oct 2013 Tiago P. Peixoto

We present an efficient algorithm for the inference of stochastic block models in large networks.

Parsimonious module inference in large networks

1 code implementation19 Dec 2012 Tiago P. Peixoto

We investigate the detectability of modules in large networks when the number of modules is not known in advance.

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