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The stochastic block model is able to generate different network partitions, ranging from traditional assortative communities to disassortative structures. Since the degree-corrected stochastic block model does not specify which mixing…

Social and Information Networks · Computer Science 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

Models for sequential data such as the recurrent neural network (RNN) often implicitly model a sequence as having a fixed time interval between observations and do not account for group-level effects when multiple sequences are observed. We…

Machine Learning · Computer Science 2018-12-27 Ghazal Fazelnia , Mark Ibrahim , Ceena Modarres , Kevin Wu , John Paisley

Networks are useful representations of many systems with interacting entities, such as social, biological and physical systems. Characterizing the meso-scale organization, i.e. the community structure, is an important problem in network…

Physics and Society · Physics 2019-11-06 Abdullah Karaaslanli , Selin Aviyente

The stochastic block model (SBM) is a popular model for capturing community structure and interaction within a network. Network data with non-Boolean edge weights is becoming commonplace; however, existing analysis methods convert such data…

Methodology · Statistics 2020-07-20 Matthew Ludkin

Numerical interactions leading to users sharing textual content published by others are naturally represented by a network where the individuals are associated with the nodes and the exchanged texts with the edges. To understand those…

Machine Learning · Computer Science 2024-02-14 Rémi Boutin , Pierre Latouche , Charles Bouveyron

In complex systems, the network of interactions we observe between system's components is the aggregate of the interactions that occur through different mechanisms or layers. Recent studies reveal that the existence of multiple interaction…

Physics and Society · Physics 2016-04-06 Toni Valles-Catala , Francesco A. Massucci , Roger Guimera , Marta Sales-Pardo

The mixed membership stochastic blockmodel (MMSB) is a popular framework for community detection and network generation. It learns a low-rank mixed membership representation for each node across communities by exploiting the underlying…

Machine Learning · Computer Science 2020-02-25 Yue Zhang , Arti Ramesh

Due to the significant increase of communications between individuals via social media (Facebook, Twitter, Linkedin) or electronic formats (email, web, e-publication) in the past two decades, network analysis has become a unavoidable…

Methodology · Statistics 2017-01-17 Bouveyron Charles , Latouche Pierre , Zreik Rawya

Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

Methodology · Statistics 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

We study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture multi-layer stochastic block model (MMSBM), which includes many…

Social and Information Networks · Computer Science 2020-02-12 Bing-Yi Jing , Ting Li , Zhongyuan Lyu , Dong Xia

Multiple membership multilevel models are an extension of standard multilevel models for non-hierarchical data that have multiple membership structures. Traditional multilevel models involve hierarchical data structures whereby lower-level…

Methodology · Statistics 2019-07-10 George Leckie

A primary goal of social science research is to understand how latent group memberships predict the dynamic process of network evolution. In the modeling of international militarized conflicts, for instance, scholars hypothesize that…

Applications · Statistics 2021-10-26 Santiago Olivella , Tyler Pratt , Kosuke Imai

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

Machine Learning · Statistics 2017-11-15 Yongjin Park , Joel S. Bader

Actors in realistic social networks play not one but a number of diverse roles depending on whom they interact with, and a large number of such role-specific interactions collectively determine social communities and their organizations.…

Machine Learning · Statistics 2010-10-12 Qirong Ho , Ankur P. Parikh , Le Song , Eric P. Xing

In the framework of model-based clustering, a model allowing several latent class variables is proposed. This model assumes that the distribution of the observed data can be factorized into several independent blocks of variables. Each…

Methodology · Statistics 2018-01-23 Matthieu Marbac , Vincent Vandewalle

As the largest public blockchain-based platform supporting smart contracts, Ethereum has accumulated a large number of user transaction records since its debut in 2014. Analysis of Ethereum transaction records, however, is still relatively…

Social and Information Networks · Computer Science 2021-01-01 Dan Lin , Jiajing Wu , Qi Yuan , Zibin Zheng

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

Methodology · Statistics 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

Mixed membership models extend classical clustering by substituting the notion of uncertain membership with the notion of mixed membership. In particular, these models allow each observation to partially belong to multiple pure membership…

Methodology · Statistics 2026-04-14 Donatello Telesca , Nicholas Marco , Emma Landry