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One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

Deep neural networks (DNNs) offer a means of addressing the challenging task of clustering high-dimensional data. DNNs can extract useful features, and so produce a lower dimensional representation, which is more amenable to clustering…

Machine Learning · Computer Science 2021-07-23 Louis Mahon , Thomas Lukasiewicz

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

The topological patterns exhibited by many real-world networks motivate the development of topology-based methods for assessing the similarity of networks. However, extracting topological structure is difficult, especially for large and…

Machine Learning · Computer Science 2022-03-15 Tananun Songdechakraiwut , Bryan M. Krause , Matthew I. Banks , Kirill V. Nourski , Barry D. Van Veen

Most of the research on clustering ensemble focuses on designing practical consistency learning algorithms.To solve the problems that the quality of base clusters varies and the low-quality base clusters have an impact on the performance of…

Machine Learning · Computer Science 2024-11-04 Jianwen Gan , Yan Chen , Peng Zhou , Liang Du

Cluster structure detection is a fundamental task for the analysis of graphs, in order to understand and to visualize their functional characteristics. Among the different cluster structure detection methods, spectral clustering is…

Machine Learning · Statistics 2020-04-09 Camille Champion , Blazère Mélanie , Burcelin Rémy , Loubes Jean-Michel , Risser Laurent

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

Methodology · Statistics 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Subspace clustering assumes that the data is sepa-rable into separate subspaces. Such a simple as-sumption, does not always hold. We assume that, even if the raw data is not separable into subspac-es, one can learn a representation…

Machine Learning · Computer Science 2019-12-11 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux

Density-based clustering has found numerous applications across various domains. The Density-Based Spatial Clustering of Applications with Noise (DBSCAN) algorithm is capable of finding clusters of varied shapes that are not linearly…

Databases · Computer Science 2019-12-03 Vinayak Mathur , Jinesh Mehta , Sanjay Singh

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

We consider the problem of clustering a set of high-dimensional data points into sets of low-dimensional linear subspaces. The number of subspaces, their dimensions, and their orientations are unknown. We propose a simple and low-complexity…

Information Theory · Computer Science 2013-03-18 Reinhard Heckel , Helmut Bölcskei

Cluster analysis, which focuses on the grouping and categorization of similar elements, is widely used in various fields of research. A novel and fast clustering algorithm, fission clustering algorithm, is proposed in recent year. In this…

Machine Learning · Computer Science 2021-02-09 Yu Han , Shizhan Lu , Haiyan Xu

Clustering methods are a valuable tool for the identification of patterns in high dimensional data with applications in many scientific problems. However, quantifying uncertainty in clustering is a challenging problem, particularly when…

Methodology · Statistics 2018-06-01 Marcio Valk , Gabriela Bettella Cybis

In this thesis, we propose several modelling strategies to tackle evolving data in different contexts. In the framework of static clustering, we start by introducing a soft kernel spectral clustering (SKSC) algorithm, which can better deal…

Social and Information Networks · Computer Science 2014-11-24 Rocco Langone

This paper considers metric spaces where distances between a pair of nodes are represented by distance intervals. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

Social and Information Networks · Computer Science 2016-10-17 Weiyu Huang , Alejandro Ribeiro

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. (2012) and Amini et al.(2012) proposed inspired variations on the algorithm that artificially inflate the node degrees for…

Machine Learning · Statistics 2013-09-18 Tai Qin , Karl Rohe

Many studies in data mining have proposed a new learning called semi-Supervised. Such type of learning combines unlabeled and labeled data which are hard to obtain. However, in unsupervised methods, the only unlabeled data are used. The…

Machine Learning · Computer Science 2013-04-16 Badreddine Meftahi , Ourida Ben Boubaker Saidi

In recent years, machine-learning methods have become increasingly important for the experiments at the Large Hadron Collider (LHC). They are utilised in everything from trigger systems to reconstruction and data analysis. The recent…

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

Machine Learning · Computer Science 2018-03-06 Sohil Atul Shah , Vladlen Koltun
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