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Community identification in a network is an important problem in fields such as social science, neuroscience, and genetics. Over the past decade, stochastic block models (SBMs) have emerged as a popular statistical framework for this…

统计理论 · 数学 2018-10-02 Min Xu , Varun Jog , Po-Ling Loh

Label propagation has proven to be a fast method for detecting communities in complex networks. Recent work has also improved the accuracy and stability of the basic algorithm, however, a general approach is still an open issue. We propose…

物理与社会 · 物理学 2013-04-03 Lovro Šubelj , Marko Bajec

Social networks are often associated with rich side information, such as texts and images. While numerous methods have been developed to identify communities from pairwise interactions, they usually ignore such side information. In this…

社会与信息网络 · 计算机科学 2024-03-01 Guillaume Braun , Masashi Sugiyama

We consider the problem of community detection in the Stochastic Block Model with a finite number $K$ of communities of sizes linearly growing with the network size $n$. This model consists in a random graph such that each pair of vertices…

社会与信息网络 · 计算机科学 2014-12-24 Se-Young Yun , Alexandre Proutiere

Safe artificial intelligence for perception tasks remains a major challenge, partly due to the lack of data with high-quality labels. Annotations themselves are subject to aleatoric and epistemic uncertainty, which is typically ignored…

We propose an algorithm for finding overlapping community structure in very large networks. The algorithm is based on the label propagation technique of Raghavan, Albert, and Kumara, but is able to detect communities that overlap. Like the…

物理与社会 · 物理学 2010-10-15 Steve Gregory

In this paper, we present and analyze a simple and robust spectral algorithm for the stochastic block model with $k$ blocks, for any $k$ fixed. Our algorithm works with graphs having constant edge density, under an optimal condition on the…

数据结构与算法 · 计算机科学 2015-06-25 Peter Chin , Anup Rao , Van Vu

With ever-increasing available data, predicting individuals' preferences and helping them locate the most relevant information has become a pressing need. Understanding and predicting preferences is also important from a fundamental point…

物理与社会 · 物理学 2012-10-05 Roger Guimera , Alejandro Llorente , Esteban Moro , Marta Sales-Pardo

The problem of detecting communities in a graph is maybe one the most studied inference problems, given its simplicity and widespread diffusion among several disciplines. A very common benchmark for this problem is the stochastic block…

机器学习 · 统计学 2016-04-08 Adel Javanmard , Andrea Montanari , Federico Ricci-Tersenghi

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…

统计方法学 · 统计学 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

We extend the latent position random graph model to the line graph of a random graph, which is formed by creating a vertex for each edge in the original random graph, and connecting each pair of edges incident to a common vertex in the…

社会与信息网络 · 计算机科学 2024-02-27 Zachary Lubberts , Avanti Athreya , Youngser Park , Carey E. Priebe

We consider the problem of reconstructing sparse symmetric block models with two blocks and connection probabilities $a/n$ and $b/n$ for inter- and intra-block edge probabilities, respectively. It was recently shown that one can do better…

概率论 · 数学 2016-09-28 Elchanan Mossel , Joe Neeman , Allan Sly

Identifying communities has always been a fundamental task in analysis of complex networks. Many methods have been devised over the last decade for detection of communities. Amongst them, the label propagation algorithm brings great…

社会与信息网络 · 计算机科学 2015-03-17 Aria Rezaei , Saeed Mahlouji Far , Mahdieh Soleymani

Inference of hidden classes in stochastic block model is a classical problem with important applications. Most commonly used methods for this problem involve na\"{\i}ve mean field approaches or heuristic spectral methods. Recently, belief…

机器学习 · 计算机科学 2013-02-05 Pan Zhang , Florent Krzakala , Jörg Reichardt , Lenka Zdeborová

For random graphs distributed according to stochastic blockmodels, a special case of latent position graphs, adjacency spectral embedding followed by appropriate vertex classification is asymptotically Bayes optimal; but this approach…

机器学习 · 统计学 2024-06-27 Li Chen , Cencheng Shen , Joshua Vogelstein , Carey Priebe

The most widely used techniques for community detection in networks, including methods based on modularity, statistical inference, and information theoretic arguments, all work by optimizing objective functions that measure the quality of…

社会与信息网络 · 计算机科学 2020-05-13 Maria A. Riolo , M. E. J. Newman

Recent works have shown that exploiting unlabeled data through label propagation can substantially reduce the labeling cost, which has been a critical issue in developing visual recognition models. Yet, how to propagate labels reliably,…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Lei Yang , Qingqiu Huang , Huaiyi Huang , Linning Xu , Dahua Lin

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

概率论 · 数学 2023-10-26 Emmanuel Abbe

The stochastic block model is a canonical model of communities in random graphs. It was introduced in the social sciences and statistics as a model of communities, and in theoretical computer science as an average case model for graph…

概率论 · 数学 2025-02-25 Elchanan Mossel , Allan Sly , Youngtak Sohn

This paper presents a novel approach to estimating community membership probabilities for network vertices generated by the Degree Corrected Mixed Membership Stochastic Block Model while preserving individual edge privacy. Operating within…

统计方法学 · 统计学 2025-11-26 Abhinav Chakraborty , Sayak Chatterjee , Sagnik Nandy