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In optimization or machine learning problems we are given a set of items, usually points in some metric space, and the goal is to minimize or maximize an objective function over some space of candidate solutions. For example, in clustering…

Machine Learning · Computer Science 2020-11-19 Dan Feldman

We study the problem of organizing a collection of objects - images, videos - into clusters, using crowdsourcing. This problem is notoriously hard for computers to do automatically, and even with crowd workers, is challenging to…

Databases · Computer Science 2016-01-12 Ayush Jain , Joon Young Seo , Karan Goel , Andrew Kuznetsov , Aditya Parameswaran , Hari Sundaram

In sketched clustering, a dataset of $T$ samples is first sketched down to a vector of modest size, from which the centroids are subsequently extracted. Advantages include i) reduced storage complexity and ii) centroid extraction complexity…

Information Theory · Computer Science 2019-05-21 Evan Byrne , Antoine Chatalic , Remi Gribonval , Philip Schniter

An impurity measures $I:{R}^k \to {R}^+$ maps a $k$-dimensional vector ${\bf v}$ to a non-negative value $I({\bf v})$ so that the more homogeneous ${\bf v}$, the larger its impurity. We study clustering based on impurity measures: given a…

Data Structures and Algorithms · Computer Science 2018-07-17 Ferdinando Cicalese , Eduardo Laber

Given a point set S and an unknown metric d on S, we study the problem of efficiently partitioning S into k clusters while querying few distances between the points. In our model we assume that we have access to one versus all queries that…

Data Structures and Algorithms · Computer Science 2011-05-10 Konstantin Voevodski , Maria-Florina Balcan , Heiko Roglin , Shang-Hua Teng , Yu Xia

How to find a natural grouping of a large real data set? Clustering requires a balance between abstraction and representation. To identify clusters, we need to abstract from superfluous details of individual objects. But we also need a rich…

Machine Learning · Computer Science 2026-01-19 Claudia Plant , Lena G. M. Bauer , Christian Böhm

There has been much progress on efficient algorithms for clustering data points generated by a mixture of $k$ probability distributions under the assumption that the means of the distributions are well-separated, i.e., the distance between…

Data Structures and Algorithms · Computer Science 2010-04-13 Amit Kumar , Ravindran Kannan

Subset selection is an important component in evolutionary multiobjective optimization (EMO) algorithms. Clustering, as a classic method to group similar data points together, has been used for subset selection in some fields. However,…

Neural and Evolutionary Computing · Computer Science 2021-08-31 Weiyu Chen , Hisao Ishibuchi , Ke Shang

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

Databases · Computer Science 2012-06-04 Mohamed A. El-Zawawy

Clustering is a central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well…

Machine Learning · Statistics 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

Clustering is an essential data mining tool for analyzing and grouping similar objects. In big data applications, however, many clustering algorithms are infeasible due to their high memory requirements and/or unfavorable runtime…

Data Structures and Algorithms · Computer Science 2026-01-27 Gregor Ulm , Simon Smith , Adrian Nilsson , Emil Gustavsson , Mats Jirstrand

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

Machine Learning · Computer Science 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

Data Structures and Algorithms · Computer Science 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

Clustering has been a major research topic in the field of machine learning, one to which Deep Learning has recently been applied with significant success. However, an aspect of clustering that is not addressed by existing deep clustering…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Ioannis Maniadis Metaxas , Georgios Tzimiropoulos , Ioannis Patras

The support vector clustering algorithm is a well-known clustering algorithm based on support vector machines using Gaussian or polynomial kernels. The classical support vector clustering algorithm works well in general, but its performance…

Machine Learning · Computer Science 2020-05-27 Arit Kumar Bishwas , Ashish Mani , Vasile Palade

Clustering is a widely-used data mining tool, which aims to discover partitions of similar items in data. We introduce a new clustering paradigm, \emph{accordant clustering}, which enables the discovery of (predefined) group level insights.…

Machine Learning · Computer Science 2017-04-11 Amit Dhurandhar , Margareta Ackerman , Xiang Wang

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

Machine Learning · Computer Science 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

We explore the utility of clustering in reducing error in various prediction tasks. Previous work has hinted at the improvement in prediction accuracy attributed to clustering algorithms if used to pre-process the data. In this work we more…

Machine Learning · Computer Science 2015-09-22 Shubhendu Trivedi , Zachary A. Pardos , Neil T. Heffernan

Clustering ensemble is one of the most recent advances in unsupervised learning. It aims to combine the clustering results obtained using different algorithms or from different runs of the same clustering algorithm for the same data set,…

Machine Learning · Computer Science 2012-08-22 Ashraf Mohammed Iqbal , Abidalrahman Moh'd , Zahoor Khan

Motivated by the fact that distances between data points in many real-world clustering instances are often based on heuristic measures, Bilu and Linial~\cite{BL} proposed analyzing objective based clustering problems under the assumption…

Machine Learning · Computer Science 2016-12-13 Maria Florina Balcan , Yingyu Liang