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This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

机器学习 · 统计学 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

The increasing prevalence of network data in a vast variety of fields and the need to extract useful information out of them have spurred fast developments in related models and algorithms. Among the various learning tasks with network…

统计方法学 · 统计学 2023-04-10 Luyi Shen , Arash Amini , Nathaniel Josephs , Lizhen Lin

In this paper, we investigate the problem of recovering hidden communities in the Labeled Stochastic Block Model (LSBM) with a finite number of clusters whose sizes grow linearly with the total number of nodes. We derive the necessary and…

社会与信息网络 · 计算机科学 2025-09-01 Kaito Ariu , Alexandre Proutiere , Se-Young Yun

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

统计方法学 · 统计学 2023-03-13 Andressa Cerqueira , Elizaveta Levina

In this paper, we focus on the stochastic block model (SBM),a probabilistic tool describing interactions between nodes of a network using latent clusters. The SBM assumes that the networkhas a stationary structure, in which connections of…

机器学习 · 统计学 2015-09-09 Marco Corneli , Pierre Latouche , Fabrice Rossi

We study the community detection and recovery problem in partially-labeled stochastic block models (SBM). We develop a fast linearized message-passing algorithm to reconstruct labels for SBM (with $n$ nodes, $k$ blocks, $p,q$ intra and…

统计理论 · 数学 2016-03-23 T. Tony Cai , Tengyuan Liang , Alexander Rakhlin

As a fundamental structure in real-world networks, in addition to graph topology, communities can also be reflected by abundant node attributes. In attributed community detection, probabilistic generative models (PGMs) have become the…

社会与信息网络 · 计算机科学 2022-05-31 Ren Ren , Jinliang Shao , Adrian N. Bishop , Wei Xing Zheng

We introduce the Markov Stochastic Block Model (MSBM): a growth model for community based networks where node attributes are assigned through a Markovian dynamic. We rely on HMMs' literature to design prediction methods that are robust to…

社会与信息网络 · 计算机科学 2023-01-09 Quentin Duchemin

Community detection in directed networks is a central task in network analysis. Unlike undirected networks, directed networks encode inherently asymmetric relationships, giving rise to sender and receiver roles that may each follow distinct…

统计方法学 · 统计学 2025-08-21 Huan Qing

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

统计理论 · 数学 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

Graph clustering is an important unsupervised learning technique for partitioning graphs with attributes and detecting communities. However, current methods struggle to accurately capture true community structures and intra-cluster…

机器学习 · 计算机科学 2024-11-19 Samarth Bhatia , Yukti Makhija , Manoj Kumar , Sandeep Kumar

Multilayer networks are a useful data structure for simultaneously capturing multiple types of relationships between a set of nodes. In such networks, each relational definition gives rise to a layer. While each layer provides its own set…

社会与信息网络 · 计算机科学 2016-10-21 Natalie Stanley , Saray Shai , Dane Taylor , Peter J. Mucha

Detection of correlation in a pair of random graphs is a fundamental statistical and computational problem that has been extensively studied in recent years. In this work, we consider a pair of correlated (sparse) stochastic block models…

概率论 · 数学 2026-03-05 Guanyi Chen , Jian Ding , Shuyang Gong , Zhangsong Li

We propose to estimate the number of communities in degree-corrected stochastic block models based on a pseudo likelihood ratio statistic. To this end, we introduce a method that combines spectral clustering with binary segmentation. This…

统计方法学 · 统计学 2019-07-31 Shujie Ma , Liangjun Su , Yichong Zhang

The community detection problem requires to cluster the nodes of a network into a small number of well-connected "communities". There has been substantial recent progress in characterizing the fundamental statistical limits of community…

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

机器学习 · 统计学 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

We analyze the information-theoretic limits for the recovery of node labels in several network models. This includes the Stochastic Block Model, the Exponential Random Graph Model, the Latent Space Model, the Directed Preferential…

机器学习 · 计算机科学 2019-05-28 Chuyang Ke , Jean Honorio

We consider the community recovery problem on a multilayer variant of the hypergraph stochastic block model (HSBM). Each layer is associated with an independent realization of a d-uniform HSBM on N vertices. Given the similarity matrix…

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

机器学习 · 统计学 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

Neural node embeddings have recently emerged as a powerful representation for supervised learning tasks involving graph-structured data. We leverage this recent advance to develop a novel algorithm for unsupervised community discovery in…

社会与信息网络 · 计算机科学 2017-06-30 Weicong Ding , Christy Lin , Prakash Ishwar
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