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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

We consider semidefinite programming (SDP) for the binary stochastic block model with equal-sized communities. Prior work of Hajek, Wu, and Xu proposed an SDP (sym-SDP) for the symmetric case where the intra-community edge probabilities are…

信息论 · 计算机科学 2025-06-24 Julia Gaudio , Phawin Prongpaophan

We study learning problems on correlated stochastic block models with two balanced communities. Our main result gives the first efficient algorithm for graph matching in this setting. In the most interesting regime where the average degree…

数据结构与算法 · 计算机科学 2024-12-04 Shuwen Chai , Miklós Z. Rácz

We study the problem of community recovery and detection in multi-layer stochastic block models, focusing on the critical network density threshold for consistent community structure inference. Using a prototypical two-block model, we…

统计理论 · 数学 2023-11-15 Jing Lei , Anru R. Zhang , Zihan Zhu

This paper considers the problem of label recovery in random graphs and matrices. Motivated by transitive behavior in real-world networks (i.e., ``the friend of my friend is my friend''), a recent line of work considers spatially-embedded…

社会与信息网络 · 计算机科学 2025-01-28 Julia Gaudio , Charlie K. Guan

We consider the problem of recovering latent information from graphs under $\varepsilon$-edge local differential privacy where the presence of relationships/edges between two users/vertices remains confidential, even from the data curator.…

机器学习 · 计算机科学 2025-04-25 Siddharth Vishwanath , Jonathan Hehir

We study the problem of exact community recovery in general, two-community block models, in the presence of node-attributed $side$ $information$. We allow for a very general side information channel for node attributes, and for pairwise…

社会与信息网络 · 计算机科学 2025-03-11 Julia Gaudio , Nirmit Joshi

Community detection is a fundamental problem in network science. In this paper, we consider community detection in hypergraphs drawn from the $hypergraph$ $stochastic$ $block$ $model$ (HSBM), with a focus on exact community recovery. We…

社会与信息网络 · 计算机科学 2023-10-17 Julia Gaudio , Nirmit Joshi

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

社会与信息网络 · 计算机科学 2024-05-09 Huan Qing

We study the vertex classification problem on a graph whose vertices are in $k\ (k\geq 2)$ different communities, edges are only allowed between distinct communities, and the number of vertices in different communities are not necessarily…

概率论 · 数学 2020-06-05 Zhongyang Li

We study community detection based on state observations from gossip opinion dynamics over stochastic block models (SBM). It is assumed that a network is generated from a two-community SBM where each agent has a community label and each…

系统与控制 · 电气工程与系统科学 2023-12-06 Yu Xing , Karl H. Johansson

The large amount of work on community detection and its applications leaves unaddressed one important question: the statistical validation of the results. In this paper we present a methodology able to clearly detect if the community…

社会与信息网络 · 计算机科学 2016-10-18 Annamaria Carissimo , Luisa Cutillo , Italia Defeis

The stochastic block model is one of the oldest and most ubiquitous models for studying clustering and community detection. In an exciting sequence of developments, motivated by deep but non-rigorous ideas from statistical physics, Decelle…

数据结构与算法 · 计算机科学 2016-03-23 Ankur Moitra , William Perry , Alexander S. Wein

In this paper, we study the information theoretic bounds for exact recovery in sub-hypergraph models for community detection. We define a general model called the $m-$uniform sub-hypergraph stochastic block model ($m-$ShSBM). Under the…

机器学习 · 统计学 2021-07-07 Jiajun Liang , Chuyang Ke , Jean Honorio

We investigate privacy-preserving spectral clustering for community detection within stochastic block models (SBMs). Specifically, we focus on edge differential privacy (DP) and propose private algorithms for community recovery. Our work…

社会与信息网络 · 计算机科学 2025-05-12 Antti Koskela , Mohamed Seif , Andrea J. Goldsmith

The edge structure of the graph defining an undirected graphical model describes precisely the structure of dependence between the variables in the graph. In many applications, the dependence structure is unknown and it is desirable to…

机器学习 · 统计学 2018-08-01 Marina Vinyes , Guillaume Obozinski

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

社会与信息网络 · 计算机科学 2018-09-21 Yunpeng Zhao

Community detection is a central task in graph analytics. Given the substantial growth in graph size, scalability in community detection continues to be an unresolved challenge. Recently, alongside established methods like Louvain and…

社会与信息网络 · 计算机科学 2024-12-18 Tianyi Chen , Charalampos E. Tsourakakis

Community detection is an important problem when processing network data. Traditionally, this is done by exploiting the connections between nodes, but connections can be too sparse to detect communities in many real datasets. Node…

统计方法学 · 统计学 2023-06-29 Yaofang Hu , Wanjie Wang

Network clustering tackles the problem of identifying sets of nodes (communities) that have similar connection patterns. However, in many scenarios, nodes also have attributes that are correlated with the clustering structure. Thus, network…

社会与信息网络 · 计算机科学 2023-11-02 Maximilien Dreveton , Felipe S. Fernandes , Daniel R. Figueiredo