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Stochastic block models (SBMs) have been playing an important role in modeling clusters or community structures of network data. But, it is incapable of handling several complex features ubiquitously exhibited in real-world networks, one of…

社会与信息网络 · 计算机科学 2019-04-11 Maoying Qiao , Jun Yu , Wei Bian , Qiang Li , Dacheng Tao

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

统计方法学 · 统计学 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Recent developed deep unsupervised methods allow us to jointly learn representation and cluster unlabelled data. These deep clustering methods mainly focus on the correlation among samples, e.g., selecting high precision pairs to gradually…

计算机视觉与模式识别 · 计算机科学 2019-08-13 Jianlong Wu , Keyu Long , Fei Wang , Chen Qian , Cheng Li , Zhouchen Lin , Hongbin Zha

The paper considers a Mixture Multilayer Stochastic Block Model (MMLSBM), where layers can be partitioned into groups of similar networks, and networks in each group are equipped with a distinct Stochastic Block Model. The goal is to…

机器学习 · 统计学 2021-10-14 Xing Fan , Marianna Pensky , Feng Yu , Teng Zhang

We are interested in the widespread problem of clustering documents and finding topics in large collections of written documents in the presence of metadata and hyperlinks. To tackle the challenge of accounting for these different types of…

社会与信息网络 · 计算机科学 2021-07-01 Charles C. Hyland , Yuanming Tao , Lamiae Azizi , Martin Gerlach , Tiago P. Peixoto , Eduardo G. Altmann

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

We present LSD-C, a novel method to identify clusters in an unlabeled dataset. Our algorithm first establishes pairwise connections in the feature space between the samples of the minibatch based on a similarity metric. Then it regroups in…

计算机视觉与模式识别 · 计算机科学 2020-06-18 Sylvestre-Alvise Rebuffi , Sebastien Ehrhardt , Kai Han , Andrea Vedaldi , Andrew Zisserman

Spectral clustering is one of the fundamental unsupervised learning methods widely used in data analysis. Sparse spectral clustering (SSC) imposes sparsity to the spectral clustering and it improves the interpretability of the model. This…

机器学习 · 统计学 2020-11-03 Zhongruo Wang , Bingyuan Liu , Shixiang Chen , Shiqian Ma , Lingzhou Xue , Hongyu Zhao

Community detection is a critical challenge in analysing real graphs, including social, transportation, citation, cybersecurity, and many other networks. This article proposes three new, general, hierarchical frameworks to deal with this…

社会与信息网络 · 计算机科学 2023-05-25 Łukasz Brzozowski , Grzegorz Siudem , Marek Gagolewski

Spectral embedding of network adjacency matrices often produces node representations living approximately around low-dimensional submanifold structures. In particular, hidden substructure is expected to arise when the graph is generated…

机器学习 · 统计学 2022-06-27 Francesco Sanna Passino , Nicholas A. Heard

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

社会与信息网络 · 计算机科学 2024-05-09 Huan Qing

We propose a novel architecture and method of explainable classification with Concept Bottleneck Models (CBMs). While SOTA approaches to Image Classification task work as a black box, there is a growing demand for models that would provide…

计算机视觉与模式识别 · 计算机科学 2024-04-05 Andrei Semenov , Vladimir Ivanov , Aleksandr Beznosikov , Alexander Gasnikov

The paper considers the Popularity Adjusted Block model (PABM) introduced by Sengupta and Chen (2018). We argue that the main appeal of the PABM is the flexibility of the spectral properties of the graph which makes the PABM an attractive…

统计理论 · 数学 2020-06-22 Majid Noroozi , Ramchandra Rimal , Marianna Pensky

Network data often represent multiple types of relations, which can also denote exchanged quantities, and are typically encompassed in a weighted multiplex. Such data frequently exhibit clustering structures, however, traditional clustering…

统计方法学 · 统计学 2024-12-17 Iuliia Promskaia , Adrian O'Hagan , Michael Fop

We investigate how to select the number of communities for weighted networks without a full likelihood modeling. First, we propose a novel weighted degree-corrected stochastic block model (DCSBM), where the mean adjacency matrix is modeled…

统计方法学 · 统计学 2025-03-12 Yucheng Liu , Xiaodong Li

Deep subspace clustering networks have attracted much attention in subspace clustering, in which an auto-encoder non-linearly maps the input data into a latent space, and a fully connected layer named self-expressiveness module is…

计算机视觉与模式识别 · 计算机科学 2021-09-01 Zhihao Peng , Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

People belong to multiple communities, words belong to multiple topics, and books cover multiple genres; overlapping clusters are commonplace. Many existing overlapping clustering methods model each person (or word, or book) as a…

机器学习 · 统计学 2018-11-06 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

In this paper, we introduce a neural network framework for semi-supervised clustering (SSC) with pairwise (must-link or cannot-link) constraints. In contrast to existing approaches, we decompose SSC into two simpler classification…

机器学习 · 计算机科学 2020-01-22 Marek Śmieja , Łukasz Struski , Mário A. T. Figueiredo

Directional and pairwise measurements are often used to model inter-relationships in a social network setting. The Mixed-Membership Stochastic Blockmodel (MMSB) was a seminal work in this area, and many of its capabilities were extended…

社会与信息网络 · 计算机科学 2013-06-14 Xuhui Fan , Longbing Cao , Richard Yi Da Xu

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

机器学习 · 计算机科学 2019-07-19 Manolis C. Tsakiris , Rene Vidal