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We study the proportional clustering problem of Chen et al. [ICML'19] and relate it to the area of multiwinner voting in computational social choice. We show that any clustering satisfying a weak proportionality notion of Brill and Peters…

Machine Learning · Computer Science 2024-05-27 Leon Kellerhals , Jannik Peters

We study a variant of classical clustering formulations in the context of algorithmic fairness, known as diversity-aware clustering. In this variant we are given a collection of facility subsets, and a solution must contain at least a…

Data Structures and Algorithms · Computer Science 2022-10-25 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Michal Osadnik

This paper studies the fair range clustering problem in which the data points are from different demographic groups and the goal is to pick $k$ centers with the minimum clustering cost such that each group is at least minimally represented…

Machine Learning · Computer Science 2023-06-23 Sèdjro S. Hotegni , Sepideh Mahabadi , Ali Vakilian

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 widely utilized for many modern data science applications. This motivates the need to make outputs of clustering algorithms fair. Traditionally, new fair algorithmic variants to clustering algorithms are developed…

Machine Learning · Computer Science 2021-10-26 Anshuman Chhabra , Adish Singla , Prasant Mohapatra

We study the canonical fair clustering problem where each cluster is constrained to have close to population-level representation of each group. Despite significant attention, the salient issue of having incomplete knowledge about the group…

Machine Learning · Computer Science 2024-11-21 Sharmila Duppala , Juan Luque , John P. Dickerson , Seyed A. Esmaeili

The study of fair algorithms has become mainstream in machine learning and artificial intelligence due to its increasing demand in dealing with biases and discrimination. Along this line, researchers have considered fair versions of…

Data Structures and Algorithms · Computer Science 2023-01-11 Sayan Bandyapadhyay , Fedor V. Fomin , Tanmay Inamdar , Kirill Simonov

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

Data summarization tasks are often modeled as $k$-clustering problems, where the goal is to choose $k$ data points, called cluster centers, that best represent the dataset by minimizing a clustering objective. A popular objective is to…

Machine Learning · Computer Science 2024-10-18 Ameet Gadekar , Aristides Gionis , Suhas Thejaswi

Ensuring fairness in machine learning algorithms is a challenging and essential task. We consider the problem of clustering a set of points while satisfying fairness constraints. While there have been several attempts to capture group…

Machine Learning · Computer Science 2023-02-07 Debajyoti Kar , Mert Kosan , Debmalya Mandal , Sourav Medya , Arlei Silva , Palash Dey , Swagato Sanyal

Proportional fairness criteria inspired by democratic ideals of proportional representation have received growing attention in the clustering literature. Prior work has investigated them in two separate paradigms. Chen et al. [ICML 2019]…

Computer Science and Game Theory · Computer Science 2026-01-05 Benjamin Cookson , Nisarg Shah , Ziqi Yu

In this paper we study the problem of correlation clustering under fairness constraints. In the classic correlation clustering problem, we are given a complete graph where each edge is labeled positive or negative. The goal is to obtain a…

Data Structures and Algorithms · Computer Science 2020-02-11 Saba Ahmadi , Sainyam Galhotra , Barna Saha , Roy Schwartz

Within the relatively busy area of fair machine learning that has been dominated by classification fairness research, fairness in clustering has started to see some recent attention. In this position paper, we assess the existing work in…

Computers and Society · Computer Science 2020-07-16 Deepak P

In data summarization we want to choose $k$ prototypes in order to summarize a data set. We study a setting where the data set comprises several demographic groups and we are restricted to choose $k_i$ prototypes belonging to group $i$. A…

Machine Learning · Statistics 2019-05-14 Matthäus Kleindessner , Pranjal Awasthi , Jamie Morgenstern

Clustering is a fundamental problem in machine learning and operations research. Therefore, given the fact that fairness considerations have become of paramount importance in algorithm design, fairness in clustering has received significant…

Machine Learning · Computer Science 2024-06-25 John Dickerson , Seyed A. Esmaeili , Jamie Morgenstern , Claire Jie Zhang

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

We introduce a novel problem for diversity-aware clustering. We assume that the potential cluster centers belong to a set of groups defined by protected attributes, such as ethnicity, gender, etc. We then ask to find a minimum-cost…

Data Structures and Algorithms · Computer Science 2022-10-25 Suhas Thejaswi , Bruno Ordozgoiti , Aristides Gionis

Spectral clustering is popular among practitioners and theoreticians alike. While performance guarantees for spectral clustering are well understood, recent studies have focused on enforcing ``fairness'' in clusters, requiring them to be…

Machine Learning · Computer Science 2022-09-27 Shubham Gupta , Ambedkar Dukkipati

The popular K-means clustering algorithm potentially suffers from a major weakness for further analysis or interpretation. Some cluster may have disproportionately more (or fewer) points from one of the subpopulations in terms of some…

Machine Learning · Computer Science 2026-02-10 Guancheng Zhou , Haiping Xu , Hongkang Xu , Chenyu Li , Donghui Yan

Deep clustering has the potential to learn a strong representation and hence better clustering performance compared to traditional clustering methods such as $k$-means and spectral clustering. However, this strong representation learning…

Machine Learning · Computer Science 2021-06-01 Hongjing Zhang , Ian Davidson