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This paper introduces a new framework for clustering in a distributed network called Distributed Clustering based on Distributional Kernel (K) or KDC that produces the final clusters based on the similarity with respect to the distributions…

机器学习 · 计算机科学 2024-09-17 Hang Zhang , Yang Xu , Lei Gong , Ye Zhu , Kai Ming Ting

Recently, deep clustering, which is able to perform feature learning that favors clustering tasks via deep neural networks, has achieved remarkable performance in image clustering applications. However, the existing deep clustering…

机器学习 · 计算机科学 2018-12-12 Yazhou Ren , Ni Wang , Mingxia Li , Zenglin Xu

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2021-01-11 Hongjing Zhang , Tianyang Zhan , Sugato Basu , Ian Davidson

This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes. As is common in computer vision or unsupervised learning applications, we do not know in advance…

信息论 · 计算机科学 2013-01-31 Mahdi Soltanolkotabi , Emmanuel J. Candés

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

机器学习 · 统计学 2012-03-07 Brian McWilliams , Giovanni Montana

Subspace clustering refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Current subspace clustering approaches are usually based on a two-stage framework. In the first stage, an affinity…

机器学习 · 计算机科学 2019-10-22 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

Multiple clustering aims at discovering diverse ways of organizing data into clusters. Despite the progress made, it's still a challenge for users to analyze and understand the distinctive structure of each output clustering. To ease this…

机器学习 · 计算机科学 2019-07-29 Xing Wang , Jun Wang , Carlotta Domeniconi , Guoxian Yu , Guoqiang Xiao , Maozu Guo

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

数值分析 · 数学 2024-12-24 Guy B. Oldaker , Maria Emelianenko

Clustering in high-dimensional spaces is a difficult problem which is recurrent in many domains, for example in image analysis. The difficulty is due to the fact that high-dimensional data usually live in different low-dimensional subspaces…

统计理论 · 数学 2016-08-16 Charles Bouveyron , Stéphane Girard , Cordelia Schmid

We introduce a novel framework for clustering a collection of tall matrices based on their column spaces, a problem we term Subspace Clustering of Subspaces (SCoS). Unlike traditional subspace clustering methods that assume vectorized data,…

机器学习 · 计算机科学 2025-09-30 Paris A. Karakasis , Nicholas D. Sidiropoulos

Spectral clustering is a popular clustering method. It first maps data into the spectral embedding space and then uses Kmeans to find clusters. However, the two decoupled steps prohibit joint optimization for the optimal solution. In…

机器学习 · 计算机科学 2024-12-17 Wengang Guo , Wei Ye

This paper presents a novel high speed clustering scheme for high dimensional data streams. Data stream clustering has gained importance in different applications, for example, in network monitoring, intrusion detection, and real-time…

数据库 · 计算机科学 2015-10-13 Irshad Ahmed , Irfan Ahmed , Waseem Shahzad

Clustering procedures suitable for the analysis of very high-dimensional data are needed for many modern data sets. In model-based clustering, a method called high-dimensional data clustering (HDDC) uses a family of Gaussian mixture models…

统计方法学 · 统计学 2017-06-28 Angelina Pesevski , Brian C. Franczak , Paul D. McNicholas

Subspace clustering refers to the problem of clustering high-dimensional data points into a union of low-dimensional linear subspaces, where the number of subspaces, their dimensions and orientations are all unknown. In this paper, we…

机器学习 · 统计学 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

Deep Subspace Clustering Networks (DSC) provide an efficient solution to the problem of unsupervised subspace clustering by using an undercomplete deep auto-encoder with a fully-connected layer to exploit the self expressiveness property.…

计算机视觉与模式识别 · 计算机科学 2020-11-18 Jeya Maria Jose Valanarasu , Vishal M. Patel

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

机器学习 · 计算机科学 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

As one type of efficient unsupervised learning methods, clustering algorithms have been widely used in data mining and knowledge discovery with noticeable advantages. However, clustering algorithms based on density peak have limited…

机器学习 · 计算机科学 2019-11-26 Jianguo Chen , Philip S. Yu

Subspace clustering is the classical problem of clustering a collection of data samples that approximately lie around several low-dimensional subspaces. The current state-of-the-art approaches for this problem are based on the…

机器学习 · 计算机科学 2023-01-26 Maryam Abdolali , Nicolas Gillis

Subspace clustering aims to find groups of similar objects (clusters) that exist in lower dimensional subspaces from a high dimensional dataset. It has a wide range of applications, such as analysing high dimensional sensor data or DNA…

机器学习 · 计算机科学 2018-11-08 Minh Tuan Doan , Jianzhong Qi , Sutharshan Rajasegarar , Christopher Leckie

An improved version of the sparse multiway kernel spectral clustering (KSC) is presented in this brief. The original algorithm is derived from weighted kernel principal component (KPCA) analysis formulated within the primal-dual…

机器学习 · 计算机科学 2023-10-23 Mihaly Novak , Rocco Langone , Carlos Alzate , Johan Suykens