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Related papers: Exploring Rawlsian Fairness for K-Means Clustering

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Center-based clustering (e.g., $k$-means, $k$-medians) and clustering using linear subspaces are two most popular techniques to partition real-world data into smaller clusters. However, when the data consists of sensitive demographic…

Machine Learning · Computer Science 2022-08-23 Sruthi Gorantla , Kishen N. Gowda , Amit Deshpande , Anand Louis

Clustering is a fundamental tool in data mining. It partitions points into groups (clusters) and may be used to make decisions for each point based on its group. However, this process may harm protected (minority) classes if the clustering…

Data Structures and Algorithms · Computer Science 2018-11-27 Ioana O. Bercea , Martin Groß , Samir Khuller , Aounon Kumar , Clemens Rösner , Daniel R. Schmidt , Melanie Schmidt

We consider the problem of deep fair clustering, which partitions data into clusters via the representations extracted by deep neural networks while hiding sensitive data attributes. To achieve fairness, existing methods present a variety…

Machine Learning · Computer Science 2024-03-26 Xiang Zhang

Clustering is one of the most fundamental and wide-spread techniques in exploratory data analysis. Yet, the basic approach to clustering has not really changed: a practitioner hand-picks a task-specific clustering loss to optimize and fit…

Machine Learning · Computer Science 2019-11-01 Yibo Jiang , Nakul Verma

K-means plays a vital role in data mining and is the simplest and most widely used algorithm under the Euclidean Minimum Sum-of-Squares Clustering (MSSC) model. However, its performance drastically drops when applied to vast amounts of…

Machine Learning · Computer Science 2023-11-27 Rustam Mussabayev , Nenad Mladenovic , Bassem Jarboui , Ravil Mussabayev

In this paper, we study correlation clustering under fairness constraints. Fair variants of $k$-median and $k$-center clustering have been studied recently, and approximation algorithms using a notion called fairlet decomposition have been…

Data Structures and Algorithms · Computer Science 2020-03-04 Sara Ahmadian , Alessandro Epasto , Ravi Kumar , Mohammad Mahdian

We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

One key use of k-means clustering is to identify cluster prototypes which can serve as representative points for a dataset. However, a drawback of using k-means cluster centers as representative points is that such points distort the…

Machine Learning · Statistics 2019-11-15 Arvind Krishna , Simon Mak , Roshan Joseph

Clustering algorithms are used in a large number of applications and play an important role in modern machine learning-- yet, adversarial attacks on clustering algorithms seem to be broadly overlooked unlike supervised learning. In this…

Machine Learning · Computer Science 2019-11-19 Anshuman Chhabra , Abhishek Roy , Prasant Mohapatra

k-means has recently been recognized as one of the best algorithms for clustering unsupervised data. Since k-means depends mainly on distance calculation between all data points and the centers, the time cost will be high when the size of…

Data Structures and Algorithms · Computer Science 2011-08-08 Raied Salman , Vojislav Kecman , Qi Li , Robert Strack , Erik Test

Although numerous clustering algorithms have been developed, many existing methods still leverage k-means technique to detect clusters of data points. However, the performance of k-means heavily depends on the estimation of centers of…

Machine Learning · Computer Science 2023-05-15 Quanxue Gao , Qianqian Wang , Han Lu , Wei Xia , Xinbo Gao

This paper introduces a novel K-means clustering algorithm, an advancement on the conventional Big-means methodology. The proposed method efficiently integrates parallel processing, stochastic sampling, and competitive optimization to…

Machine Learning · Computer Science 2024-03-28 Rustam Mussabayev , Ravil Mussabayev

K-means is undoubtedly the most widely used partitional clustering algorithm. Unfortunately, due to its gradient descent nature, this algorithm is highly sensitive to the initial placement of the cluster centers. Numerous initialization…

Machine Learning · Computer Science 2012-09-11 M. Emre Celebi , Hassan A. Kingravi , Patricio A. Vela

Algorithmic fairness in clustering aims to balance the proportions of instances assigned to each cluster with respect to a given sensitive attribute. While recently developed fair clustering algorithms optimize clustering objectives under…

Machine Learning · Computer Science 2025-10-24 Kunwoong Kim , Jihu Lee , Sangchul Park , Yongdai Kim

Though mostly used as a clustering algorithm, k-means are originally designed as a quantization algorithm. Namely, it aims at providing a compression of a probability distribution with k points. Building upon [21, 33], we try to investigate…

Statistics Theory · Mathematics 2018-01-31 Clément Levrard

We define the notion of a well-clusterable data set combining the point of view of the objective of $k$-means clustering algorithm (minimising the centric spread of data elements) and common sense (clusters shall be separated by gaps). We…

Machine Learning · Computer Science 2020-04-07 Mieczysław A. Kłopotek

In real-world application scenarios, the identification of groups poses a significant challenge due to possibly occurring outliers and existing noise variables. Therefore, there is a need for a clustering method which is capable of…

Research in fair machine learning, and particularly clustering, has been crucial in recent years given the many ethical controversies that modern intelligent systems have posed. Ahmadian et al. [2020] established the study of fairness in…

Machine Learning · Computer Science 2023-11-22 Marina Knittel , Max Springer , John Dickerson , MohammadTaghi Hajiaghayi

This paper investigates the capability of correctly recovering well-separated clusters by various brands of the $k$-means algorithm. The concept of well-separatedness used here is derived directly from the common definition of clusters,…

Machine Learning · Computer Science 2023-08-07 Mieczysław A. Kłopotek

The invention of the transformer architecture has revolutionized Artificial Intelligence (AI), yielding unprecedented success in areas such as natural language processing, computer vision, and multimodal reasoning. Despite these advances,…

Machine Learning · Computer Science 2025-06-25 Kenneth L. Clarkson , Lior Horesh , Takuya Ito , Charlotte Park , Parikshit Ram
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