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We study the misclassification error for community detection in general heterogeneous stochastic block models (SBM) with noisy or partial label information. We establish a connection between the misclassification rate and the notion of…

统计理论 · 数学 2020-07-27 T. Tony Cai , Tengyuan Liang , Alexander Rakhlin

We introduce the Markov Stochastic Block Model (MSBM): a growth model for community based networks where node attributes are assigned through a Markovian dynamic. We rely on HMMs' literature to design prediction methods that are robust to…

社会与信息网络 · 计算机科学 2023-01-09 Quentin Duchemin

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

统计理论 · 数学 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

We propose and analyze the problems of \textit{community goodness-of-fit and two-sample testing} for stochastic block models (SBM), where changes arise due to modification in community memberships of nodes. Motivated by practical…

信息论 · 计算机科学 2019-11-01 Aditya Gangrade , Praveen Venkatesh , Bobak Nazer , Venkatesh Saligrama

Spectral clustering is a widely used method for community detection in networks. We focus on a semi-supervised community detection scenario in the Partially Labeled Stochastic Block Model (PL-SBM) with two balanced communities, where a…

统计理论 · 数学 2024-12-16 Nicolas Fraiman , Michael Nisenzon

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…

机器学习 · 计算机科学 2016-11-17 Akshay Gadde , Eyal En Gad , Salman Avestimehr , Antonio Ortega

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…

数据结构与算法 · 计算机科学 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

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

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…

无序系统与神经网络 · 物理学 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

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…

概率论 · 数学 2023-10-26 Emmanuel Abbe

The community detection problem involves making inferences about node labels in a graph, based on observing the graph edges. This paper studies the effect of additional, non-graphical side information on the phase transition of exact…

信息论 · 计算机科学 2019-01-30 Hussein Saad , Aria Nosratinia

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

Probabilistic inference problems arise naturally in distributed systems such as sensor networks and teams of mobile robots. Inference algorithms that use message passing are a natural fit for distributed systems, but they must be robust to…

人工智能 · 计算机科学 2012-07-19 Mark Paskin , Carlos E. Guestrin

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

We consider the problem of identifying underlying community-like structures in graphs. Towards this end we study the Stochastic Block Model (SBM) on $k$-clusters: a random model on $n=km$ vertices, partitioned in $k$ equal sized clusters,…

数据结构与算法 · 计算机科学 2015-07-10 Naman Agarwal , Afonso S. Bandeira , Konstantinos Koiliaris , Alexandra Kolla

Thanks to its superior features of fast read/write speed and low power consumption, spin-torque transfer magnetic random access memory (STT-MRAM) has become a promising non-volatile memory (NVM) technology that is suitable for many…

信息论 · 计算机科学 2024-10-10 Xingwei Zhong , Kui Cai , Zhen Mei , Tony Q. S. Quek

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

社会与信息网络 · 计算机科学 2023-06-05 Yicong Jiang , Tracy Ke

Under a low Signal-to-Noise Ratio (SNR), the Orthogonal Frequency-Division Multiplexing (OFDM) signal symbol rate is limited. Existing carrier number estimation algorithms lack adequate methods to deal with low SNR. This paper proposes an…

信息论 · 计算机科学 2022-07-28 Zetian Qin , Yubai Li , Benye Niu , Qingyao Li , Renhao Xue

We consider the problem of community detection from the joint observation of a high-dimensional covariate matrix and $L$ sparse networks, all encoding noisy, partial information about the latent community labels of $n$ subjects. In the…

统计理论 · 数学 2026-02-10 Shuyang Gong , Dong Huang , Zhangsong Li

We show how the notion of message passing can be used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models. In particular, this approach is amenable to handling…

统计方法学 · 统计学 2016-04-07 M. P. Wand
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