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Related papers: Active learning in the geometric block model

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The stochastic block model (SBM) is an important generative model for random graphs in network science and machine learning, useful for benchmarking community detection (or clustering) algorithms. The symmetric SBM generates a graph with…

Machine Learning · Computer Science 2016-11-17 Akshay Gadde , Eyal En Gad , Salman Avestimehr , Antonio Ortega

To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model builds on the random geometric graphs…

Social and Information Networks · Computer Science 2023-11-21 Sainyam Galhotra , Arya Mazumdar , Soumyabrata Pal , Barna Saha

To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model generalizes the random geometric…

Social and Information Networks · Computer Science 2018-01-25 Sainyam Galhotra , Arya Mazumdar , Soumyabrata Pal , Barna Saha

We consider the community recovery problem on a one-dimensional random geometric graph where every node has two independent labels: an observed location label and a hidden community label. A geometric kernel maps the locations of pairs of…

Probability · Mathematics 2026-03-17 Konstantin Avrachenkov , B. R. Vinay Kumar , Lasse Leskelä

In community detection on graphs, the semi-supervised learning problem entails inferring the ground-truth membership of each node in a graph, given the connectivity structure and a limited number of revealed node labels. Different subsets…

Disordered Systems and Neural Networks · Physics 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

Community detection is the problem of identifying dense communities in networks. Motivated by transitive behavior in social networks ("thy friend is my friend"), an emerging line of work considers spatially-embedded networks, which…

Probability · Mathematics 2025-12-30 Julia Gaudio , Andrew Jin

We consider the problem of learning latent community structure from multiple correlated networks. We study edge-correlated stochastic block models with two balanced communities, focusing on the regime where the average degree is logarithmic…

Statistics Theory · Mathematics 2022-03-30 Julia Gaudio , Miklos Z. Racz , Anirudh Sridhar

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

Machine Learning · Statistics 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park

Empirical observations suggest that in practice, community membership does not completely explain the dependency between the edges of an observation graph. The residual dependence of the graph edges are modeled in this paper, to first…

Social and Information Networks · Computer Science 2023-01-11 Mohammad Esmaeili , Aria Nosratinia

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…

Social and Information Networks · Computer Science 2020-03-24 Dan Kushnir , Benjamin Mirabelli

We study the problem of learning communities in the presence of modeling errors and give robust recovery algorithms for the Stochastic Block Model (SBM). This model, which is also known as the Planted Partition Model, is widely used for…

Data Structures and Algorithms · Computer Science 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

Multi-view data arises frequently in modern network analysis e.g. relations of multiple types among individuals in social network analysis, longitudinal measurements of interactions among observational units, annotated networks with noisy…

Statistics Theory · Mathematics 2024-01-17 Xiaodong Yang , Buyu Lin , Subhabrata Sen

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…

Data Structures and Algorithms · Computer Science 2015-06-25 Peter Chin , Anup Rao , Van Vu

We study the problem of exact community recovery in the Geometric Stochastic Block Model (GSBM), where each vertex has an unknown community label as well as a known position, generated according to a Poisson point process in $\mathbb{R}^d$.…

Social and Information Networks · Computer Science 2024-01-08 Julia Gaudio , Xiaochun Niu , Ermin Wei

The stochastic block model is a natural model for studying community detection in random networks. Its clustering properties have been extensively studied in the statistics, physics and computer science literature. Recently this area has…

Probability · Mathematics 2020-05-05 Gerandy Brito , Ioana Dumitriu , Shirshendu Ganguly , Christopher Hoffman , Linh V. Tran

Blockmodels are a foundational tool for modeling community structure in networks, with the stochastic blockmodel (SBM), degree-corrected blockmodel (DCBM), and popularity-adjusted blockmodel (PABM) forming a natural hierarchy of increasing…

Methodology · Statistics 2025-12-23 Subhankar Bhadra , Minh Tang , Srijan Sengupta

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…

Probability · Mathematics 2023-10-26 Emmanuel Abbe

We consider the task of learning latent community structure from multiple correlated networks. First, we study the problem of learning the latent vertex correspondence between two edge-correlated stochastic block models, focusing on the…

Statistics Theory · Mathematics 2021-07-15 Miklos Z. Racz , Anirudh Sridhar

This paper proposes a novel scalable community-based neural framework for graph learning. The framework learns the graph topology through the task of community detection and link prediction by optimizing with our proposed joint SBM loss…

Social and Information Networks · Computer Science 2020-05-19 Zheng Chen , Xinli Yu , Yuan Ling , Xiaohua Hu

This paper considers the problem of community detection on multiple potentially correlated graphs from an information-theoretical perspective. We first put forth a random graph model, called the multi-view stochastic block model (MVSBM),…

Social and Information Networks · Computer Science 2024-01-19 Yexin Zhang , Zhongtian Ma , Qiaosheng Zhang , Zhen Wang , Xuelong Li
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