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This article studies the estimation of latent community memberships from pairwise interactions in a network of $N$ nodes, where the observed interactions can be of arbitrary type, including binary, categorical, and vector-valued, and not…

统计理论 · 数学 2022-08-31 Konstantin Avrachenkov , Maximilien Dreveton , Lasse Leskelä

We propose a novel network generative model extended from the standard stochastic block model by concurrently utilizing observed node-level information and accounting for network-enabled nodal heterogeneity. The proposed model is so…

统计方法学 · 统计学 2025-11-24 Sydney Louit , Evan Clark , Alexander Gelbard , Niketna Vivek , Jun Yan , Panpan Zhang

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…

社会与信息网络 · 计算机科学 2019-09-16 Xiaoyan Lu , Boleslaw K. Szymanski

Stochastic Block Models (SBMs) are a fundamental tool for community detection in network analysis. But little theoretical work exists on the statistical performance of Bayesian SBMs, especially when the community count is unknown. This…

统计理论 · 数学 2021-01-19 Sheng Jiang , Surya Tokdar

Small-world networks, known for high local clustering and short path lengths, are a fundamental structure in many real-world systems, including social, biological, and technological networks. We apply the theory of (marked) local…

概率论 · 数学 2026-04-29 Yeganeh Alimohammadi , Senem Işık , Amin Saberi

The stochastic block model (SBM) has been widely used to analyze network data. Various goodness-of-fit tests have been proposed to assess the adequacy of model structures. To the best of our knowledge, however, none of the existing…

统计方法学 · 统计学 2025-07-23 Yujia Wu , Wei Lan , Long Feng , Chih-Ling Tsai

The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

社会与信息网络 · 计算机科学 2023-03-21 Angus Chan , Tianxi Li

Missing link prediction in indirected and un-weighted network is an open and challenge problem which has been studied intensively in recent years. In this paper, we studied the relationships between community structure and link formation…

社会与信息网络 · 计算机科学 2013-03-07 Zhen Liu , Jia-Lin He , Jaideep Srivastava

Modeling relations between individuals is a classical question in social sciences and clustering individuals according to the observed patterns of interactions allows to uncover a latent structure in the data. Stochastic block model (SBM)…

统计方法学 · 统计学 2015-01-27 Pierre Barbillon , Sophie Donnet , Emmanuel Lazega , Avner Bar-Hen

In this paper we address the problem of modeling relational data, which appear in many applications such as social network analysis, recommender systems and bioinformatics. Previous studies either consider latent feature based models but…

数据结构与算法 · 计算机科学 2012-04-13 Sheng Gao , Ludovic Denoyer , Patrick Gallinari

Community structures detection in complex network is important for understanding not only the topological structures of the network, but also the functions of it. Stochastic block model and nonnegative matrix factorization are two widely…

社会与信息网络 · 计算机科学 2017-07-11 Zhong-Yuan Zhang , Yujie Gai , Yu-Fei Wang , Hui-Min Cheng , Xin Liu

A relevant, sometimes overlooked, quality criterion for communities in graphs is that they should be well-connected in addition to being edge-dense. Prior work has shown that leading community detection methods can produce poorly-connected…

社会与信息网络 · 计算机科学 2025-08-07 The-Anh Vu-Le , Minhyuk Park , Ian Chen , George Chacko , Tandy Warnow

Current statistical models for structured prediction make simplifying assumptions about the underlying output graph structure, such as assuming a low-order Markov chain, because exact inference becomes intractable as the tree-width of the…

机器学习 · 计算机科学 2010-03-26 Xu Miao , Rajesh P. N. Rao

In community detection on graphs, the semi-supervised learning problem entails inferring the ground-truth membership of each node in a graph, given the connectivity structure and a limited number of revealed node labels. Different subsets…

无序系统与神经网络 · 物理学 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

Structured data in the form of networks are increasingly common in a number of fields, including the social sciences, biology, physics, computer science, and many others. A key task in network analysis is community detection, which…

统计方法学 · 统计学 2025-11-25 Martina Amongero , Pierpaolo De Blasi

The topic of this paper is modeling and analyzing dependence in stochastic social networks. Using a latent variable block model allows the analysis of dependence between blocks via the analysis of a latent graphical model. Our approach to…

统计理论 · 数学 2018-08-27 Nana Wang , Wolfgang Polonik

Many real-world networks known as attributed networks contain two types of information: topology information and node attributes. It is a challenging task on how to use these two types of information to explore structural regularities. In…

物理与社会 · 物理学 2019-01-28 Zhenhai Chang , Caiyan Jia , Xianjun Yin , Yimei Zheng

Community detection in social network graphs plays a vital role in uncovering group dynamics, influence pathways, and the spread of information. Traditional methods focus primarily on graph structural properties, but recent advancements in…

社会与信息网络 · 计算机科学 2025-08-01 Ekta Gujral , Apurva Sinha

We show that a simple community detection algorithm originated from stochastic blockmodel literature achieves consistency, and even optimality, for a broad and flexible class of sparse latent space models. The class of models includes…

机器学习 · 统计学 2020-08-05 Fengnan Gao , Zongming Ma , Hongsong Yuan

In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the human…

社会与信息网络 · 计算机科学 2021-08-16 Jane Carlen , Jaume de Dios Pont , Cassidy Mentus , Shyr-Shea Chang , Stephanie Wang , Mason A. Porter