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A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold…

统计计算 · 统计学 2017-09-15 Hien D. Nguyen

The cost of computing the spectrum of Laplacian matrices hinders the application of spectral clustering to large data sets. While approximations recover computational tractability, they can potentially affect clustering performance. This…

机器学习 · 统计学 2016-08-15 Yufei Han , Maurizio Filippone

The mixed membership stochastic blockmodel (MMSB) is a popular Bayesian network model for community detection. Fitting such large Bayesian network models quickly becomes computationally infeasible when the number of nodes grows into…

社会与信息网络 · 计算机科学 2024-05-24 Timothy Jones , Owen G. Ward , Yiran Jiang , John Paisley , Tian Zheng

Modeling and estimating mixed memberships for overlapping unipartite un-weighted networks has been well studied in recent years. However, to our knowledge, there is no model for a more general case, the overlapping bipartite weighted…

社会与信息网络 · 计算机科学 2024-04-08 Huan Qing , Jingli Wang

Community detection approaches resolve complex networks into smaller groups (communities) that are expected to be relatively edge-dense and well-connected. The stochastic block model (SBM) is one of several approaches used to uncover…

社会与信息网络 · 计算机科学 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , George Chacko , Tandy Warnow

Spectral analysis has been successfully applied at the detection of community structure of networks, respectively being based on the adjacency matrix, the standard Laplacian matrix, the normalized Laplacian matrix, the modularity matrix,…

物理与社会 · 物理学 2010-10-21 Hua-Wei Shen , Xue-Qi Cheng

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

Clustering and community detection with multiple graphs have typically focused on aligned graphs, where there is a mapping between nodes across the graphs (e.g., multi-view, multi-layer, temporal graphs). However, there are numerous…

社会与信息网络 · 计算机科学 2019-04-11 Guilherme Gomes , Vinayak Rao , Jennifer Neville

Spectral embedding of adjacency or Laplacian matrices of undirected graphs is a common technique for representing a network in a lower dimensional latent space, with optimal theoretical guarantees. The embedding can be used to estimate the…

社会与信息网络 · 计算机科学 2021-07-22 Francesco Sanna Passino , Nicholas A. Heard

In this paper, we propose an improved version of an agglomerative hierarchical clustering algorithm that performs disjoint community detection in large-scale complex networks. The improved algorithm is achieved after replacing the local…

社会与信息网络 · 计算机科学 2018-06-01 Eduar Castrillo , Elizabeth León , Jonatan Gómez

Statistical estimates can often be improved by fusion of data from several different sources. One example is so-called ensemble methods which have been successfully applied in areas such as machine learning for classification and…

物理与社会 · 物理学 2013-09-03 Johan Dahlin , Pontus Svenson

This paper addresses the problem of mixed-membership estimation in networks, where the goal is to efficiently estimate the latent mixed-membership structure from the observed network. Recognizing the widespread availability and valuable…

统计理论 · 数学 2025-02-11 Jianqing Fan , Jiawei Ge , Jikai Hou

The stochastic block model (SBM) is a popular framework for studying community detection in networks. This model is limited by the assumption that all nodes in the same community are statistically equivalent and have equal expected degrees.…

统计理论 · 数学 2016-01-20 Yudong Chen , Xiaodong Li , Jiaming Xu

Point set registration is an essential step in many computer vision applications, such as 3D reconstruction and SLAM. Although there exist many registration algorithms for different purposes, however, this topic is still challenging due to…

计算机视觉与模式识别 · 计算机科学 2022-11-22 Jin Zhang , Mingyang Zhao , Xin Jiang , Dong-Ming Yan

We introduce a new method to determine galaxy cluster membership based solely on photometric properties. We adopt a machine learning approach to recover a cluster membership probability from galaxy photometric parameters and finally derive…

宇宙学与河外天体物理 · 物理学 2020-02-26 P. A. A. Lopes , A. L. B. Ribeiro

In this paper we propose weighted symmetric binary matrix factorization (wSBMF) framework to detect overlapping communities in bipartite networks, which describe relationships between two types of nodes. Our method improves performance by…

社会与信息网络 · 计算机科学 2015-02-17 Zhong-Yuan Zhang , Yong-Yeol Ahn

We present a method based on the orthogonal symmetric non-negative matrix tri-factorization of the normalized Laplacian matrix for community detection in complex networks. While the exact factorization of a given order may not exist and is…

机器学习 · 统计学 2016-05-19 Subhadeep Paul , Yuguo Chen

Modern multi-layer networks are commonly stored and analyzed in a local and distributed fashion because of the privacy, ownership, and communication costs. The literature on the model-based statistical methods for community detection based…

社会与信息网络 · 计算机科学 2024-10-22 Xiao Guo , Xiang Li , Xiangyu Chang , Shujie Ma

In economics and social science, network data are regularly observed, and a thorough understanding of the network community structure facilitates the comprehension of economic patterns and activities. Consider an undirected network with $n$…

统计方法学 · 统计学 2022-12-23 Jiashun Jin , Zheng Tracy Ke , Shengming Luo

A degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

社会与信息网络 · 计算机科学 2024-04-08 Huan Qing