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Related papers: Fair Algorithms for Clustering

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We introduce the $(p,q)$-Fair Clustering problem. In this problem, we are given a set of points $P$ and a collection of different weight functions $W$. We would like to find a clustering which minimizes the $\ell_q$-norm of the vector over…

Data Structures and Algorithms · Computer Science 2021-11-10 Eden Chlamtáč , Yury Makarychev , Ali Vakilian

We present an $(e^{O(p)} \frac{\log \ell}{\log\log\ell})$-approximation algorithm for socially fair clustering with the $\ell_p$-objective. In this problem, we are given a set of points in a metric space. Each point belongs to one (or…

Data Structures and Algorithms · Computer Science 2021-07-16 Yury Makarychev , Ali Vakilian

The remarkable attention which fair clustering has received in the last few years has resulted in a significant number of different notions of fairness. Despite the fact that these notions are well-justified, they are often motivated and…

Machine Learning · Computer Science 2023-06-01 John Dickerson , Seyed A. Esmaeili , Jamie Morgenstern , Claire Jie Zhang

Due to the growing concern about unsavory behaviors of machine learning models toward certain demographic groups, the notion of 'fairness' has recently drawn much attention from the community, thereby motivating the study of fairness in…

Machine Learning · Computer Science 2025-11-03 Minh Phu Vuong , Young-Ju Lee , Iván Ojeda-Ruiz , Chul-Ho Lee

In this work, we define and solve the Fair Top-k Ranking problem, in which we want to determine a subset of k candidates from a large pool of n >> k candidates, maximizing utility (i.e., select the "best" candidates) subject to group…

Computers and Society · Computer Science 2018-07-03 Meike Zehlike , Francesco Bonchi , Carlos Castillo , Sara Hajian , Mohamed Megahed , Ricardo Baeza-Yates

Fair clustering has become a socially significant task with the advancement of machine learning technologies and the growing demand for trustworthy AI. Group fairness ensures that the proportions of each sensitive group are similar in all…

Machine Learning · Statistics 2025-06-17 Jihu Lee , Kunwoong Kim , Yongdai Kim

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

Fairness of decision-making algorithms is an increasingly important issue. In this paper, we focus on spectral clustering with group fairness constraints, where every demographic group is represented in each cluster proportionally as in the…

Machine Learning · Computer Science 2025-06-11 Francesco Tonin , Alex Lambert , Johan A. K. Suykens , Volkan Cevher

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

Fairness in clustering has been considered extensively in the past; however, the trade-off between the two objectives -- e.g., can we sacrifice just a little in the quality of the clustering to significantly increase fairness, or…

Machine Learning · Computer Science 2024-08-20 Rashida Hakim , Ana-Andreea Stoica , Christos H. Papadimitriou , Mihalis Yannakakis

We consider the $k$-clustering problem with $\ell_p$-norm cost, which includes $k$-median, $k$-means and $k$-center, under an individual notion of fairness proposed by Jung et al. [2020]: given a set of points $P$ of size $n$, a set of $k$…

Data Structures and Algorithms · Computer Science 2022-03-02 Ali Vakilian , Mustafa Yalçıner

We study the computational problem of computing a fair means clustering of discrete vectors, which admits an equivalent formulation as editing a colored matrix into one with few distinct color-balanced rows by changing at most $k$ values.…

Data Structures and Algorithms · Computer Science 2025-12-04 Robert Ganian , Hung P. Hoang , Simon Wietheger

In this paper, we present a local search-based algorithm for individually fair clustering in the presence of outliers. We consider the individual fairness definition proposed in Jung et al., which requires that each of the $n$ points in the…

Data Structures and Algorithms · Computer Science 2025-10-08 Binita Maity , Shrutimoy Das , Anirban Dasgupta

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

We show that the popular k-means clustering algorithm (Lloyd's heuristic), used for a variety of scientific data, can result in outcomes that are unfavorable to subgroups of data (e.g., demographic groups). Such biased clusterings can have…

Machine Learning · Computer Science 2020-10-30 Mehrdad Ghadiri , Samira Samadi , Santosh Vempala

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

The fairness of clustering algorithms has gained widespread attention across various areas, including machine learning, In this paper, we study fair $k$-means clustering in Euclidean space. Given a dataset comprising several groups, the…

Machine Learning · Computer Science 2024-12-10 Shihong Song , Guanlin Mo , Qingyuan Yang , Hu Ding

Fair clustering is a constrained variant of clustering where the goal is to partition a set of colored points, such that the fraction of points of any color in every cluster is more or less equal to the fraction of points of this color in…

Data Structures and Algorithms · Computer Science 2020-07-21 Sayan Bandyapadhyay , Fedor V. Fomin , Kirill Simonov

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

Data Structures and Algorithms · Computer Science 2025-05-23 Ameet Gadekar , Suhas Thejaswi

Incorporating fairness constructs into machine learning algorithms is a topic of much societal importance and recent interest. Clustering, a fundamental task in unsupervised learning that manifests across a number of web data scenarios, has…

Computers and Society · Computer Science 2020-10-15 Deepak P , Savitha Sam Abraham