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We use a cluster ensemble to determine the number of clusters, k, in a group of data. A consensus similarity matrix is formed from the ensemble using multiple algorithms and several values for k. A random walk is induced on the graph…

Machine Learning · Statistics 2014-08-06 Shaina Race , Carl Meyer , Kevin Valakuzhy

Finding a set of nested partitions of a dataset is useful to uncover relevant structure at different scales, and is often dealt with a data-dependent methodology. In this paper, we introduce a general two-step methodology for model-based…

Computation · Statistics 2021-04-22 Etienne Côme , Nicolas Jouvin , Pierre Latouche , Charles Bouveyron

This manuscript develops the theory of agglomerative clustering with Bregman divergences. Geometric smoothing techniques are developed to deal with degenerate clusters. To allow for cluster models based on exponential families with…

Machine Learning · Computer Science 2012-07-03 Matus Telgarsky , Sanjoy Dasgupta

Determining clustering tendency in datasets is a fundamental but challenging task, especially in noisy or high-dimensional settings where traditional methods, such as the Hopkins Statistic and Visual Assessment of Tendency (VAT), often…

Machine Learning · Computer Science 2025-01-31 Yiran Luo , Evangelos E. Papalexakis

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

Methodology · Statistics 2017-02-10 Wei Fu , Patrick O. Perry

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

Distributional text clustering delivers semantically informative representations and captures the relevance between each word and semantic clustering centroids. We extend the neural text clustering approach to text classification tasks by…

Computation and Language · Computer Science 2020-11-25 Yekun Chai , Haidong Zhang , Shuo Jin

One of the ubiquitous features of real-life turbulent flows is the existence and persistence of coherent vortices. Here we show that such coherent vortices can be extracted as clusters of Lagrangian trajectories. We carry out the clustering…

Chaotic Dynamics · Physics 2016-07-06 Alireza Hadjighasem , Daniel Karrasch , Hiroshi Teramoto , George Haller

Data-stream clustering is an ever-expanding subdomain of knowledge extraction. Most of the past and present research effort aims at efficient scaling up for the huge data repositories. Our approach focuses on qualitative improvement, mainly…

Artificial Intelligence · Computer Science 2008-11-05 Alain Lelu , Pascal Cuxac , Joel Johansson

Spectral clustering is a novel clustering method which can detect complex shapes of data clusters. However, it requires the eigen decomposition of the graph Laplacian matrix, which is proportion to $O(n^3)$ and thus is not suitable for…

Machine Learning · Computer Science 2013-07-02 Nguyen Lu Dang Khoa , Sanjay Chawla

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

Physics and Society · Physics 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

This article outlines a new method of locating discourse boundaries based on lexical cohesion and a graphical technique called dotplotting. The application of dotplotting to discourse segmentation can be performed either manually, by…

cmp-lg · Computer Science 2008-02-03 Jeffrey C. Reynar

The Levenshtein distance is an important tool for the comparison of symbolic sequences, with many appearances in genome research, linguistics and other areas. For efficient applications, an approximation by a distance of smaller…

Quantitative Methods · Quantitative Biology 2007-05-23 Michael Baake , Uwe Grimm , Robert Giegerich

We give a simple, local process for nodes in an undirected graph to form non-adjacent clusters that (1) have at most a polylogarithmic diameter and (2) contain at least half of all vertices. Efficient deterministic distributed clustering…

Data Structures and Algorithms · Computer Science 2022-10-24 Václav Rozhoň , Bernhard Haeupler , Christoph Grunau

We focus on the task of unsupervised lemmatization, i.e. grouping together inflected forms of one word under one label (a lemma) without the use of annotated training data. We propose to perform agglomerative clustering of word forms with a…

Computation and Language · Computer Science 2019-08-23 Rudolf Rosa , Zdeněk Žabokrtský

Graph clustering is a basic technique in machine learning, and has widespread applications in different domains. While spectral techniques have been successfully applied for clustering undirected graphs, the performance of spectral…

Machine Learning · Computer Science 2019-08-07 Mihai Cucuringu , Huan Li , He Sun , Luca Zanetti

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

Machine Learning · Computer Science 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

Deep clustering is a deep neural network-based speech separation algorithm that first trains the mixed component of signals with high-dimensional embeddings, and then uses a clustering algorithm to separate each mixture of sources. In this…

Audio and Speech Processing · Electrical Eng. & Systems 2019-01-16 Soyeon Choe , Soo-Whan Chung , Youna Ji , Hong-Goo Kang

Text clustering is an important method for organising the increasing volume of digital content, aiding in the structuring and discovery of hidden patterns in uncategorised data. The effectiveness of text clustering largely depends on the…

Computation and Language · Computer Science 2024-12-06 Alina Petukhova , João P. Matos-Carvalho , Nuno Fachada