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The problem of distributed identification of linear stochastic system with unknown coefficients over time-varying networks is considered. For estimating the unknown coefficients, each agent in the network can only access the input and the…

系统与控制 · 电气工程与系统科学 2021-08-04 Kewei Fu , Han-Fu Chen , Wenxiao Zhao

The stochastic block model (SBM) is a probabilistic model for community structure in networks. Typically, only the adjacency matrix is used to perform SBM parameter inference. In this paper, we consider circumstances in which nodes have an…

社会与信息网络 · 计算机科学 2018-03-09 Natalie Stanley , Thomas Bonacci , Roland Kwitt , Marc Niethammer , Peter J. Mucha

This paper deals with non-observed dyads during the sampling of a network and consecutive issues in the inference of the Stochastic Block Model (SBM). We review sampling designs and recover Missing At Random (MAR) and Not Missing At Random…

统计方法学 · 统计学 2019-01-10 Timothée Tabouy , Pierre Barbillon , Julien Chiquet

We consider the problem of recovering clustered sparse signals with no prior knowledge of the sparsity pattern. Beyond simple sparsity, signals of interest often exhibits an underlying sparsity pattern which, if leveraged, can improve the…

信息论 · 计算机科学 2016-01-05 Xiangming Meng , Sheng Wu , Linling Kuang , Defeng , Huang , Jianhua Lu

Signal-to-noise ratios (SNR) play a crucial role in various statistical models, with important applications in tasks such as estimating heritability in genomics. The method-of-moments estimator is a widely used approach for estimating SNR,…

统计理论 · 数学 2025-06-13 Xiaohan Hu , Zhentao Li , Xiaodong Li

Networks are useful representations of many systems with interacting entities, such as social, biological and physical systems. Characterizing the meso-scale organization, i.e. the community structure, is an important problem in network…

物理与社会 · 物理学 2019-11-06 Abdullah Karaaslanli , Selin Aviyente

In the community detection problem, one may have access to additional observations (side information) about the label of each node. This paper studies the effect of the quality and quantity of side information on the phase transition of…

信息论 · 计算机科学 2018-04-27 Hussein Saad , Ahmed Abotabl , Aria Nosratinia

Graph Neural Networks have achieved impressive results across diverse network modeling tasks, but accurately estimating uncertainty on graphs remains difficult, especially under distributional shifts. Unlike traditional uncertainty…

机器学习 · 计算机科学 2025-10-15 Fred Xu , Thomas Markovich

Semi-supervised (SS) semantic segmentation exploits both labeled and unlabeled images to overcome tedious and costly pixel-level annotation problems. Pseudolabel supervision is one of the core approaches of training networks with both…

计算机视觉与模式识别 · 计算机科学 2025-01-06 Rini Smita Thakur , Vinod K. Kurmi

We study the node classification problem on feature-decorated graphs in the sparse setting, i.e., when the expected degree of a node is $O(1)$ in the number of nodes, in the fixed-dimensional asymptotic regime, i.e., the dimension of the…

机器学习 · 计算机科学 2025-01-10 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

This work deals with directional of arrival (DOA) estimation with a large antenna array. We first develop a novel signal model with a sparse system transfer matrix using an inverse discrete Fourier transform (DFT) operation, which leads to…

信号处理 · 电气工程与系统科学 2023-09-04 Yiwen Mao , Dawei Gao , Qinghua Guo , Ming Jin

The stochastic block model (SBM) has been widely used to analyze network data. Various goodness-of-fit tests have been proposed to assess the adequacy of model structures. To the best of our knowledge, however, none of the existing…

统计方法学 · 统计学 2025-07-23 Yujia Wu , Wei Lan , Long Feng , Chih-Ling Tsai

The paper investigates the distributed estimation problem under low bit rate communications. Based on the signal-comparison (SC) consensus protocol under binary-valued communications, a new consensus+innovations type distributed estimation…

系统与控制 · 电气工程与系统科学 2025-03-25 Jieming Ke , Xiaodong Lu , Yanlong Zhao , Ji-Feng Zhang

The community detection problem requires to cluster the nodes of a network into a small number of well-connected "communities". There has been substantial recent progress in characterizing the fundamental statistical limits of community…

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

机器学习 · 统计学 2017-11-15 Yongjin Park , Joel S. Bader

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…

统计理论 · 数学 2024-01-17 Xiaodong Yang , Buyu Lin , Subhabrata Sen

Community detection is one of the most critical problems in modern network science. Its applications can be found in various fields, from protein modeling to social network analysis. Recently, many papers appeared studying the problem of…

机器学习 · 统计学 2025-06-12 Fedor Noskov , Maxim Panov

We study the task of Multiclass Linear Classification (MLC) in the distribution-free PAC model with Random Classification Noise (RCN). Specifically, the learner is given a set of labeled examples $(x, y)$, where $x$ is drawn from an unknown…

机器学习 · 计算机科学 2025-02-18 Ilias Diakonikolas , Mingchen Ma , Lisheng Ren , Christos Tzamos

Community detection for unweighted networks has been widely studied in network analysis, but the case of weighted networks remains a challenge. This paper proposes a general Distribution-Free Model (DFM) for weighted networks in which nodes…

社会与信息网络 · 计算机科学 2023-02-14 Huan Qing

In this paper we consider the cluster estimation problem under the Stochastic Block Model. We show that the semidefinite programming (SDP) formulation for this problem achieves an error rate that decays exponentially in the signal-to-noise…

机器学习 · 统计学 2017-05-24 Yingjie Fei , Yudong Chen