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There has been a lot of interest in developing algorithms to extract clusters or communities from networks. This work proposes a method, based on blockmodelling, for leveraging communities and other topological features for use in a…

社会与信息网络 · 计算机科学 2011-10-20 Leto Peel

We propose a generalized stochastic block model to explore the mesoscopic structures in signed networks by grouping vertices that exhibit similar positive and negative connection profiles into the same cluster. In this model, the group…

社会与信息网络 · 计算机科学 2015-06-17 Jonathan Q. Jiang

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

机器学习 · 统计学 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

统计方法学 · 统计学 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

Stochastic block models (SBMs) are a very commonly studied network model for community detection algorithms. In the standard form of an SBM, the $n$ vertices (or nodes) of a graph are generally divided into multiple pre-determined…

密码学与安全 · 计算机科学 2024-06-06 Dung Nguyen , Anil Vullikanti

We propose a dynamic network sampling scheme to optimize block recovery for stochastic blockmodel (SBM) in the case where it is prohibitively expensive to observe the entire graph. Theoretically, we provide justification of our proposed…

社会与信息网络 · 计算机科学 2022-12-19 Cong Mu , Youngser Park , Carey E. Priebe

Community detection is the problem of identifying community structure in graphs. Often the graph is modeled as a sample from the Stochastic Block Model, in which each vertex belongs to a community. The probability that two vertices are…

概率论 · 数学 2021-11-12 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

We consider the problem of recovering a binary rating matrix as well as clusters of users and items based on a partially observed matrix together with side-information in the form of social and item similarity graphs. These two graphs are…

信息论 · 计算机科学 2021-01-14 Qiaosheng Zhang , Vincent Y. F. Tan , Changho Suh

Community detection is the task of detecting hidden communities from observed interactions. Guaranteed community detection has so far been mostly limited to models with non-overlapping communities such as the stochastic block model. In this…

机器学习 · 计算机科学 2013-10-28 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade

Community detection is the task of clustering objects based on their pairwise relationships. Most of the model-based community detection methods, such as the stochastic block model and its variants, are designed for networks with binary…

机器学习 · 统计学 2024-12-06 Xiang Li , Yunpeng Zhao , Qing Pan , Ning Hao

In network inference applications, it is often desirable to detect community structure, namely to cluster vertices into groups, or blocks, according to some measure of similarity. Beyond mere adjacency matrices, many real networks also…

社会与信息网络 · 计算机科学 2021-08-06 Cong Mu , Angelo Mele , Lingxin Hao , Joshua Cape , Avanti Athreya , Carey E. Priebe

The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

统计理论 · 数学 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

Nodes in real world networks often have class labels, or underlying attributes, that are related to the way in which they connect to other nodes. Sometimes this relationship is simple, for instance nodes of the same class are may be more…

机器学习 · 计算机科学 2014-03-19 Leto Peel

Local network community detection aims to find a single community in a large network, while inspecting only a small part of that network around a given seed node. This is much cheaper than finding all communities in a network. Most methods…

社会与信息网络 · 计算机科学 2018-05-02 Twan van Laarhoven

Unknown node attributes in complex networks may introduce community structures that are important to distinguish from those driven by known attributes. We propose a block-corrected modularity that discounts given block structures present in…

物理与社会 · 物理学 2025-08-04 Hasti Narimanzadeh , Takayuki Hiraoka , Mikko Kivelä

Finding communities in networks is a problem that remains difficult, in spite of the amount of attention it has recently received. The Stochastic Block-Model (SBM) is a generative model for graphs with "communities" for which, because of…

机器学习 · 统计学 2021-04-22 Yali Wan , Marina Meila

Stochastic blockmodels (SBM) and their variants, $e.g.$, mixed-membership and overlapping stochastic blockmodels, are latent variable based generative models for graphs. They have proven to be successful for various tasks, such as…

机器学习 · 计算机科学 2019-05-15 Nikhil Mehta , Lawrence Carin , Piyush Rai

Consider the community detection problem in random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), where each hyperedge appears independently with some given probability depending only on the labels of its…

统计理论 · 数学 2024-08-29 Ioana Dumitriu , Haixiao Wang

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

There has been a recent interest in understanding the power of local algorithms for optimization and inference problems on sparse graphs. Gamarnik and Sudan (2014) showed that local algorithms are weaker than global algorithms for finding…

机器学习 · 统计学 2015-08-11 Elchanan Mossel , Jiaming Xu