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Designing effective algorithms for community detection is an important and challenging problem in {\em large-scale} graphs, studied extensively in the literature. Various solutions have been proposed, but many of them are centralized with…

分布式、并行与集群计算 · 计算机科学 2019-04-17 Reza Fathi , Anisur Rahaman Molla , Gopal Pandurangan

We consider the stochastic block model where connection between vertices is perturbed by some latent (and unobserved) random geometric graph. The objective is to prove that spectral methods are robust to this type of noise, even if they are…

机器学习 · 计算机科学 2020-11-10 Sandrine Peche , Vianney Perchet

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

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

统计方法学 · 统计学 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

社会与信息网络 · 计算机科学 2014-02-20 Se-Young Yun , Alexandre Proutiere

The labeled stochastic block model is a random graph model representing networks with community structure and interactions of multiple types. In its simplest form, it consists of two communities of approximately equal size, and the edges…

机器学习 · 统计学 2015-02-12 Marc Lelarge , Laurent Massoulié , Jiaming Xu

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

Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local…

Community detection in graphs that are generated according to stochastic block models (SBMs) has received much attention lately. In this paper, we focus on the binary symmetric SBM -- in which a graph of $n$ vertices is randomly generated…

最优化与控制 · 数学 2021-09-28 Peng Wang , Zirui Zhou , Anthony Man-Cho So

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

We study the problem of community recovery from coarse measurements of a graph. In contrast to the problem of community recovery of a fully observed graph, one often encounters situations when measurements of a graph are made at…

统计理论 · 数学 2021-03-02 Nafiseh Ghoroghchian , Gautam Dasarathy , Stark C. Draper

Stochastic blockmodels have been proposed as a tool for detecting community structure in networks as well as for generating synthetic networks for use as benchmarks. Most blockmodels, however, ignore variation in vertex degree, making them…

物理与社会 · 物理学 2011-03-02 Brian Karrer , M. E. J. Newman

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

This article proposes an active learning method for high dimensional data, based on intrinsic data geometries learned through diffusion processes on graphs. Diffusion distances are used to parametrize low-dimensional structures on the…

机器学习 · 计算机科学 2019-05-31 Mauro Maggioni , James M. Murphy

A framework is introduced for actively and adaptively solving a sequence of machine learning problems, which are changing in bounded manner from one time step to the next. An algorithm is developed that actively queries the labels of the…

机器学习 · 计算机科学 2018-05-31 Yuheng Bu , Jiaxun Lu , Venugopal V. Veeravalli

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

Conventional multimedia annotation/retrieval systems such as Normalized Continuous Relevance Model (NormCRM) [16] require a fully labeled training data for a good performance. Active Learning, by determining an order for labeling the…

多媒体 · 计算机科学 2015-04-28 Moitreya Chatterjee , Anton Leuski

Community detection is a fundamental task in graph analysis, with methods often relying on fitting models like the Stochastic Block Model (SBM) to observed networks. While many algorithms can accurately estimate SBM parameters when the…

机器学习 · 统计学 2025-06-05 Leonardo Martins Bianco , Christine Keribin , Zacharie Naulet

We propose a robust, scalable, integrated methodology for community detection and community comparison in graphs. In our procedure, we first embed a graph into an appropriate Euclidean space to obtain a low-dimensional representation, and…

机器学习 · 统计学 2016-08-29 Vince Lyzinski , Minh Tang , Avanti Athreya , Youngser Park , Carey E. Priebe

Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

统计方法学 · 统计学 2020-03-02 Jesús Arroyo , Elizaveta Levina