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Hierarchical Clustering has been studied and used extensively as a method for analysis of data. More recently, Dasgupta [2016] defined a precise objective function. Given a set of $n$ data points with a weight function $w_{i,j}$ for each…

Data Structures and Algorithms · Computer Science 2021-11-15 Mirmahdi Rahgoshay , Mohammad R. Salavatipour

Clustering plays a crucial role in computer science, facilitating data analysis and problem-solving across numerous fields. By partitioning large datasets into meaningful groups, clustering reveals hidden structures and relationships within…

Databases · Computer Science 2026-02-19 Aryan Esmailpour , Stavros Sintos

Trajectory clustering enables the discovery of common patterns in trajectory data. Current methods of trajectory clustering rely on a distance measure between two points in order to measure the dissimilarity between two trajectories. The…

Artificial Intelligence · Computer Science 2023-10-31 Zi Jing Wang , Ye Zhu , Kai Ming Ting

We propose a model-based clustering algorithm for a general class of functional data for which the components could be curves or images. The random functional data realizations could be measured with error at discrete, and possibly random,…

Machine Learning · Statistics 2022-03-14 Steven Golovkine , Nicolas Klutchnikoff , Valentin Patilea

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

Machine Learning · Computer Science 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

Machine Learning · Computer Science 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

The goal of co-clustering is to simultaneously identify a clustering of rows as well as columns of a two dimensional data matrix. A number of co-clustering techniques have been proposed including information-theoretic co-clustering and the…

Machine Learning · Computer Science 2020-04-27 Joyce Jiyoung Whang , Inderjit S. Dhillon

We consider a discrete latent variable model for two-way data arrays, which allows one to simultaneously produce clusters along one of the data dimensions (e.g. exchangeable observational units or features) and contiguous groups, or…

A critical piece of the modern information retrieval puzzle is approximate nearest neighbor search. Its objective is to return a set of $k$ data points that are closest to a query point, with its accuracy measured by the proportion of exact…

Information Retrieval · Computer Science 2024-07-15 Thomas Vecchiato , Claudio Lucchese , Franco Maria Nardini , Sebastian Bruch

The feature-selection problem is formulated from an information-theoretic perspective. We show that the problem can be efficiently solved by an extension of the recently proposed info-clustering paradigm. This reveals the fundamental…

Information Theory · Computer Science 2016-10-06 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou , Tie Liu

Synchronization cluster analysis is an approach to the detection of underlying structures in data sets of multivariate time series, starting from a matrix R of bivariate synchronization indices. A previous method utilized the eigenvectors…

Data Analysis, Statistics and Probability · Physics 2007-12-20 Carsten Allefeld , Stephan Bialonski

We consider the problem of learning from a similarity matrix (such as spectral clustering and lowd imensional embedding), when computing pairwise similarities are costly, and only a limited number of entries can be observed. We provide a…

Machine Learning · Statistics 2014-06-11 Ethan Fetaya , Ohad Shamir , Shimon Ullman

Clustering of web search result document has emerged as a promising tool for improving retrieval performance of an Information Retrieval (IR) system. Search results often plagued by problems like synonymy, polysemy, high volume etc.…

Information Retrieval · Computer Science 2015-03-24 Mansaf Alam , Kishwar Sadaf

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato

A commonly used characteristic of statistical dependence of adjacency relations in real networks, the clustering coefficient, evaluates chances that two neighbours of a given vertex are adjacent. An extension is obtained by considering…

Applications · Statistics 2013-04-29 Mindaugas Bloznelis , Valentas Kurauskas

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

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

Clustering analysis has been widely used in trust evaluation on various complex networks such as wireless sensors networks and online social networks. Spectral clustering is one of the most commonly used algorithms for graph-structured data…

Social and Information Networks · Computer Science 2021-12-03 Gang Mei , Jingzhi Tu , Lei Xiao , Francesco Piccialli

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

Neurons and Cognition · Quantitative Biology 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

There is a fundamental trade-off between the communication cost and latency in information aggregation. Aggregating multiple communication messages over time can alleviate overhead and improve energy efficiency on one hand, but inevitably…

Networking and Internet Architecture · Computer Science 2017-09-25 Chi-Kin Chau , Majid Khonji , Muhammad Aftab

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

Methodology · Statistics 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De