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In the context of clustering, we consider a generative model in a Euclidean ambient space with clusters of different shapes, dimensions, sizes and densities. In an asymptotic setting where the number of points becomes large, we obtain…

机器学习 · 统计学 2009-09-15 Ery Arias-Castro

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

机器学习 · 计算机科学 2025-11-25 Naitik Gada

The problem of multimodal clustering arises whenever the data are gathered with several physically different sensors. Observations from different modalities are not necessarily aligned in the sense there there is no obvious way to associate…

机器学习 · 统计学 2020-12-10 Vasil Khalidov , Florence Forbes , Radu Horaud

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

机器学习 · 计算机科学 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

机器学习 · 计算机科学 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

The increasing pervasiveness of social media creates new opportunities to study human social behavior, while challenging our capability to analyze their massive data streams. One of the emerging tasks is to distinguish between different…

社会与信息网络 · 计算机科学 2017-03-07 Emilio Ferrara , Mohsen JafariAsbagh , Onur Varol , Vahed Qazvinian , Filippo Menczer , Alessandro Flammini

The recent high level of interest in weighted complex networks gives rise to a need to develop new measures and to generalize existing ones to take the weights of links into account. Here we focus on various generalizations of the…

统计力学 · 物理学 2013-05-29 J. Saramaki , M. Kivela , J. -P. Onnela , K. Kaski , J. Kertesz

Clustering is a concept used in a huge variety of applications. We review a conceptually very simple algorithm for hierarchical clustering called in the following the {\it mutual information clustering} (MIC) algorithm. It uses mutual…

定量方法 · 定量生物学 2008-09-10 Alexander Kraskov , Peter Grassberger

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

数据分析、统计与概率 · 物理学 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

Multiple datasets containing different types of features may be available for a given task. For instance, users' profiles can be used to group users for recommendation systems. In addition, a model can also use users' historical behaviors…

机器学习 · 计算机科学 2016-05-10 Weixiang Shao , Xiaoxiao Shi , Philip S. Yu

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Sequence analysis is an increasingly popular approach for analysing life courses represented by ordered collections of activities experienced by subjects over time. Here, we analyse a survey data set containing information on the career…

统计方法学 · 统计学 2021-12-22 Keefe Murphy , Thomas Brendan Murphy , Raffaella Piccarreta , Isobel Claire Gormley

In this work, we study diversity-aware clustering problems where the data points are associated with multiple attributes resulting in intersecting groups. A clustering solution needs to ensure that the number of chosen cluster centers from…

数据结构与算法 · 计算机科学 2025-05-21 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Aristides Gionis

Numerous algorithms have been produced for the fundamental problem of clustering under many different notions of fairness. Perhaps the most common family of notions currently studied is group fairness, in which proportional group…

机器学习 · 计算机科学 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , John P. Dickerson , Brian Brubach

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

应用统计 · 统计学 2017-12-22 Giacomo Aletti , Alessandra Micheletti

Mixed data comprises both numeric and categorical features, and mixed datasets occur frequently in many domains, such as health, finance, and marketing. Clustering is often applied to mixed datasets to find structures and to group similar…

机器学习 · 计算机科学 2019-03-20 Amir Ahmad , Shehroz S. Khan

Importance of document clustering is now widely acknowledged by researchers for better management, smart navigation, efficient filtering, and concise summarization of large collection of documents like World Wide Web (WWW). The next…

信息检索 · 计算机科学 2011-12-30 Muhammad Rafi , M. Shahid Shaikh , Amir Farooq

With the huge upsurge of information in day-to-days life, it has become difficult to assemble relevant information in nick of time. But people, always are in dearth of time, they need everything quick. Hence clustering was introduced to…

信息检索 · 计算机科学 2015-03-02 Rakesh Chandra Balabantaray , Chandrali Sarma , Monica Jha

Multi-view clustering has received much attention recently. Most of the existing multi-view clustering methods only focus on one-sided clustering. As the co-occurring data elements involve the counts of sample-feature co-occurrences, it is…

机器学习 · 计算机科学 2019-05-28 Peng Xu , Zhaohong Deng , Kup-Sze Choi , Longbing Cao , Shitong Wang

The clustering of a data set is one of the core tasks in data analytics. Many clustering algorithms exhibit a strong contrast between a favorable performance in practice and bad theoretical worst-cases. Prime examples are least-squares…

最优化与控制 · 数学 2018-09-05 S. Borgwardt , F. Happach