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Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

Many approximation algorithms and heuristic algorithms to find a fair clustering have emerged. In this paper we define a new and natural variant of fair clustering problem and design a polynomial time algorithm to compute an optimal fair…

Computational Geometry · Computer Science 2025-11-12 Ayano Moritaka , Shin-ichi Nakano , Kento Tanaka , Noriaki Yoshida

Frequency estimation in streaming data often relies on sketches like Count-Min (CM) to provide approximate answers with sublinear space. However, CM sketches introduce additive errors that disproportionately impact low-frequency elements,…

Data Structures and Algorithms · Computer Science 2025-05-27 Nima Shahbazi , Stavros Sintos , Abolfazl Asudeh

Data mining and knowledge discovery are two important growing research fields in the last two decades due to the abundance of data collected from various sources. The exponentially growing volumes of generated data urge the development of…

Computer Science and Game Theory · Computer Science 2020-07-13 Dalila Kessira , Mohand-Tahar Kechadi

The evaluation of clustering algorithms can involve running them on a variety of benchmark problems, and comparing their outputs to the reference, ground-truth groupings provided by experts. Unfortunately, many research papers and graduate…

Machine Learning · Computer Science 2023-10-27 Marek Gagolewski

In recent years, crowdsourcing, aka human aided computation has emerged as an effective platform for solving problems that are considered complex for machines alone. Using human is time-consuming and costly due to monetary compensations.…

Data Structures and Algorithms · Computer Science 2016-04-08 Arya Mazumdar , Barna Saha

When selecting locations for a set of facilities, standard clustering algorithms may place unfair burden on some individuals and neighborhoods. We formulate a fairness concept that takes local population densities into account. In…

Data Structures and Algorithms · Computer Science 2019-09-02 Christopher Jung , Sampath Kannan , Neil Lutz

Clustering of event stream data is of great importance in many application scenarios, including but not limited to, e-commerce, electronic health, online testing, mobile music service, etc. Existing clustering algorithms fail to take…

Methodology · Statistics 2024-05-29 Yuecheng Zhang , Guanhua Fang , Wen Yu

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

The problem of finding groups in data (cluster analysis) has been extensively studied by researchers from the fields of Statistics and Computer Science, among others. However, despite its popularity it is widely recognized that the…

Statistics Theory · Mathematics 2013-10-10 José E. Chacón

Graph clustering becomes an important problem due to emerging applications involving the web, social networks and bio-informatics. Recently, many such applications generate data in the form of streams. Clustering massive, dynamic graph…

Databases · Computer Science 2013-01-30 Yuchen Zhao , Philip S. Yu

A computational theory for clustering and a semi-supervised clustering algorithm is presented. Clustering is defined to be the obtainment of groupings of data such that each group contains no anomalies with respect to a chosen grouping…

Machine Learning · Computer Science 2025-07-17 Nassir Mohammad

Crowdsourced, or human computation based clustering algorithms usually rely on relative distance comparisons, as these are easier to elicit from human workers than absolute distance information. A relative distance comparison is a statement…

Data Structures and Algorithms · Computer Science 2017-09-26 Antti Ukkonen

In this paper, we consider sparse networks consisting of a finite number of non-overlapping communities, i.e. disjoint clusters, so that there is higher density within clusters than across clusters. Both the intra- and inter-cluster edge…

Social and Information Networks · Computer Science 2014-11-06 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

The problem of automatically clustering data is an age old problem. People have created numerous algorithms to tackle this problem. The execution time of any of this algorithm grows with the number of input points and the number of cluster…

Machine Learning · Computer Science 2014-12-08 Aditya AV Sastry , Kalyan Netti

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Diversity maximization is a fundamental problem with wide applications in data summarization, web search, and recommender systems. Given a set $X$ of $n$ elements, it asks to select a subset $S$ of $k \ll n$ elements with maximum…

Data Structures and Algorithms · Computer Science 2023-04-27 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

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…

Machine Learning · Statistics 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei
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