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Transmit optimization and resource allocation for wireless cooperative networks with channel state information (CSI) uncertainty are important but challenging problems in terms of both the uncertainty modeling and performance op-…

信息论 · 计算机科学 2014-06-30 Yuanming Shi , Jun Zhang , Khaled B. Letaief

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

Exact recovery in stochastic block models (SBMs) is well understood in undirected settings, but remains considerably less developed for directed and sparse networks, particularly when the number of communities diverges. Spectral methods for…

机器学习 · 统计学 2026-02-18 Behzad Aalipur , Yichen Qin

Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

应用统计 · 统计学 2020-03-24 Subhadeep Paul , Yuguo Chen

Community detection in multi-layer undirected networks has attracted considerable attention in recent years. However, multi-layer directed networks are common in the real world, and existing community detection methods often either ignore…

社会与信息网络 · 计算机科学 2025-02-28 Huan Qing

In this work, we study the problem of community detection in the stochastic block model with adversarial node corruptions. Our main result is an efficient algorithm that can tolerate an $\epsilon$-fraction of corruptions and achieves error…

数据结构与算法 · 计算机科学 2022-07-26 Allen Liu , Ankur Moitra

Signed network structure discovery has received extensive attention and has become a research focus in the field of network science. However, most of the existing studies are focused on the networks with a single structure, e.g., community…

社会与信息网络 · 计算机科学 2023-04-24 Yang Li , Bo Yang , Xuehua Zhao , Zhejian Yang , Hechang Chen

Estimating the number of communities is one of the fundamental problems in community detection. We re-examine the Bayesian paradigm for stochastic block models and propose a "corrected Bayesian information criterion",to determine the number…

统计方法学 · 统计学 2019-09-18 Jianwei Hu , Hong Qin , Ting Yan , Yunpeng Zhao

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

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

Semidefinite programming is an important tool to tackle several problems in data science and signal processing, including clustering and community detection. However, semidefinite programs are often slow in practice, so speed up techniques…

最优化与控制 · 数学 2022-05-11 Pedro Abdalla , Afonso S. Bandeira

Community detection is a well-studied problem with applications in domains ranging from networking to bioinformatics. Due to the rapid growth in the volume of real-world data, there is growing interest in accelerating contemporary community…

社会与信息网络 · 计算机科学 2023-01-23 Frank Wanye , Vitaliy Gleyzer , Edward Kao , Wu-chun Feng

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

Due to the technological progress of the last decades, Community Detection has become a major topic in machine learning. However, there is still a huge gap between practical and theoretical results, as theoretically optimal procedures often…

统计理论 · 数学 2022-08-26 Franz Besold , Vladimir Spokoiny

A fundamental problem in network analysis is clustering the nodes into groups which share a similar connectivity pattern. Existing algorithms for community detection assume the knowledge of the number of clusters or estimate it a priori…

统计方法学 · 统计学 2018-03-30 Junxian Geng , Anirban Bhattacharya , Debdeep Pati

In network analysis, developing a unified theoretical framework that can compare methods under different models is an interesting problem. This paper proposes a partial solution to this problem. We summarize the idea of using separation…

机器学习 · 计算机科学 2022-08-24 Huan Qing

The framework of statistical inference has been successfully used to detect the meso-scale structures in complex networks, such as community structure, core-periphery (CP) structure. The main principle is that the stochastic block model…

物理与社会 · 物理学 2018-08-29 Chuang Ma , Bing-Bing Xiang , Han-Shuang Chen , Hai-Feng Zhang

We introduce the nested stochastic block model (NSBM) to cluster a collection of networks while simultaneously detecting communities within each network. NSBM has several appealing features including the ability to work on unlabeled…

统计方法学 · 统计学 2025-03-17 Nathaniel Josephs , Arash A. Amini , Marina Paez , Lizhen Lin

The stochastic block model and its variants have been a popular tool in analyzing large network data with community structures. In this paper we develop an efficient network cross-validation (NCV) approach to determine the number of…

统计方法学 · 统计学 2015-03-30 Kehui Chen , Jing Lei

Stochastic Block Models (SBMs) are a popular approach to modeling single real-world graphs. The key idea of SBMs is to partition the vertices of the graph into blocks with similar edge densities within, as well as between different blocks.…

社会与信息网络 · 计算机科学 2024-12-23 Iiro Kumpulainen , Sebastian Dalleiger , Jilles Vreeken , Nikolaj Tatti