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相关论文: Minimax Rates for Robust Community Detection

200 篇论文

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

Aiming at improving the efficiency and accuracy of community detection in complex networks, we proposed a new algorithm, which is based on the idea that communities could be detected from subnetworks by comparing the internal and external…

物理与社会 · 物理学 2016-12-20 Jihui Han , Wei Li , Weibing Deng

In this paper we prove the strong consistency of several methods based on the spectral clustering techniques that are widely used to study the community detection problem in stochastic block models (SBMs). We show that under some weak…

统计方法学 · 统计学 2019-05-16 Liangjun Su , Wuyi Wang , Yichong Zhang

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

数据分析、统计与概率 · 物理学 2009-09-29 Hristo Djidjev

The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

This paper is motivated by the reconstruction problem on the sparse stochastic block model. Mossel, et. al. proved that a reconstruction algorithm that recovers an optimal fraction of the communities in the symmetric, 2-community case. The…

概率论 · 数学 2023-12-20 Byron Chin , Allan Sly

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods are…

物理与社会 · 物理学 2022-09-02 Kun Gao , Xuezao Ren , Lei Zhou , Junfang Zhu

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

The present work is concerned with community detection. Specifically, we consider a random graph drawn according to the stochastic block model~: its vertex set is partitioned into blocks, or communities, and edges are placed randomly and…

数据结构与算法 · 计算机科学 2019-06-27 Ludovic Stephan , Laurent Massoulié

Many real systems can be represented as networks whose analysis can be very informative regarding the original system's organisation. In the past decade community detection received a lot of attention and is now an active field of research.…

数据结构与算法 · 计算机科学 2015-03-20 Erwan Le Martelot , Chris Hankin

Community detection, also known as graph partitioning, is a well-known NP-hard combinatorial optimization problem with applications in diverse fields such as complex network theory, transportation, and smart power grids. The problem's…

最优化与控制 · 数学 2025-01-03 Wei Li , Yi-Lun Du , Nan Su , Konrad Tywoniuk , Kyle Godbey , Horst Stöcker

Mining community structures from the complex network is an important problem across a variety of fields. Many existing community detection methods detect communities through optimizing a community evaluation function. However, most of these…

社会与信息网络 · 计算机科学 2019-04-10 Zheng Chen , Zengyou He , Hao Liang , Can Zhao , Yan Liu

Community detection is a core tool for analyzing large realworld graphs. It is often used to derive additional local features of vertices and edges that will be used to perform a downstream task, yet the impact of community detection on…

社会与信息网络 · 计算机科学 2025-09-16 Shrabani Ghosh , Erik Saule

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

机器学习 · 统计学 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Variational approximation has been widely used in large-scale Bayesian inference recently, the simplest kind of which involves imposing a mean field assumption to approximate complicated latent structures. Despite the computational…

统计理论 · 数学 2019-05-21 Purnamrita Sarkar , Y. X. Rachel Wang , Soumendu Sundar Mukherjee

Community detection is a well established method for studying the meso scale structure of social networks. Applying a community detection algorithm results in a division of a network into communities that is often used to inspect and reason…

社会与信息网络 · 计算机科学 2021-11-22 Dafne E. van Kuppevelt , Rena Bakhshi , Eelke M. Heemskerk , Frank W. Takes

We present a novel active learning algorithm for community detection on networks. Our proposed algorithm uses a Maximal Expected Model Change (MEMC) criterion for querying network nodes label assignments. MEMC detects nodes that maximally…

社会与信息网络 · 计算机科学 2020-03-24 Dan Kushnir , Benjamin Mirabelli

Community detection tasks have received a lot of attention across statistics, machine learning, and information theory with a large body of work concentrating on theoretical guarantees for the stochastic block model. One line of recent work…

统计方法学 · 统计学 2019-11-06 Heather Mathews , Vaishakhi Mayya , Alexander Volfovsky , Galen Reeves

We study the problem of multi-agent multi-armed bandits with adversarial corruption in a heterogeneous setting, where each agent accesses a subset of arms. The adversary can corrupt the reward observations for all agents. Agents share these…

机器学习 · 计算机科学 2024-11-14 Fatemeh Ghaffari , Xuchuang Wang , Jinhang Zuo , Mohammad Hajiesmaili

Community detection in hypergraphs is explored. Under a generative hypergraph model called "d-wise hypergraph stochastic block model" (d-hSBM) which naturally extends the Stochastic Block Model from graphs to d-uniform hypergraphs, the…

信息论 · 计算机科学 2018-02-06 I Chien , Chung-Yi Lin , I-Hsiang Wang