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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

As machine learning has become more prevalent, researchers have begun to recognize the necessity of ensuring machine learning systems are fair. Recently, there has been an interest in defining a notion of fairness that mitigates…

Data Structures and Algorithms · Computer Science 2020-06-22 Sara Ahmadian , Alessandro Epasto , Marina Knittel , Ravi Kumar , Mohammad Mahdian , Benjamin Moseley , Philip Pham , Sergei Vassilvitskii , Yuyan Wang

Hierarchical Agglomerative Clustering (HAC) is one of the oldest but still most widely used clustering methods. However, HAC is notoriously hard to scale to large data sets as the underlying complexity is at least quadratic in the number of…

Hierarchical Agglomerative Clustering (HAC) is likely the earliest and most flexible clustering method, because it can be used with many distances, similarities, and various linkage strategies. It is often used when the number of clusters…

Machine Learning · Statistics 2023-09-07 Erich Schubert , Andreas Lang

We study the problem of finding low-cost Fair Clusterings in data where each data point may belong to many protected groups. Our work significantly generalizes the seminal work of Chierichetti et.al. (NIPS 2017) as follows. - We allow the…

Data Structures and Algorithms · Computer Science 2019-06-18 Suman K. Bera , Deeparnab Chakrabarty , Nicolas J. Flores , Maryam Negahbani

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

Numerous algorithms have been produced for the fundamental problem of clustering under many different notions of fairness. Perhaps the most common family of notions currently studied is group fairness, in which proportional group…

Machine Learning · Computer Science 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , John P. Dickerson , Brian Brubach

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

Hierarchical Agglomerative Clustering (HAC) is an extensively studied and widely used method for hierarchical clustering in $\mathbb{R}^k$ based on repeatedly merging the closest pair of clusters according to an input linkage function $d$.…

Data Structures and Algorithms · Computer Science 2025-07-29 MohammadHossein Bateni , Laxman Dhulipala , Willem Fletcher , Kishen N Gowda , D Ellis Hershkowitz , Rajesh Jayaram , Jakub Łącki

Traditionally, clustering algorithms focus on partitioning the data into groups of similar instances. The similarity objective, however, is not sufficient in applications where a fair-representation of the groups in terms of protected…

Machine Learning · Computer Science 2021-11-08 Tai Le Quy , Arjun Roy , Gunnar Friege , Eirini Ntoutsi

The advent of ML-driven decision-making and policy formation has led to an increasing focus on algorithmic fairness. As clustering is one of the most commonly used unsupervised machine learning approaches, there has naturally been a…

Machine Learning · Statistics 2023-05-30 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

The goal of fair clustering is to find clusters such that the proportion of sensitive attributes (e.g., gender, race, etc.) in each cluster is similar to that of the entire dataset. Various fair clustering algorithms have been proposed that…

Machine Learning · Statistics 2026-02-26 Jinwon Park , Kunwoong Kim , Jihu Lee , Yongdai Kim

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

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

Clustering is an unsupervised machine learning task that consists of identifying groups of similar objects. It has numerous applications and is increasingly used in fairness-sensitive domains where objects represent individuals, such as…

Machine Learning · Computer Science 2026-05-14 Claudio Mantuano , Manuel Kammermann , Philipp Baumann

Clustering algorithms may unintentionally propagate or intensify existing disparities, leading to unfair representations or biased decision-making. Current fair clustering methods rely on notions of fairness that do not capture any…

Machine Learning · Statistics 2023-12-15 Fritz Bayer , Drago Plecko , Niko Beerenwinkel , Jack Kuipers

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

Given the widespread popularity of spectral clustering (SC) for partitioning graph data, we study a version of constrained SC in which we try to incorporate the fairness notion proposed by Chierichetti et al. (2017). According to this…

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

There has been much interest recently in developing fair clustering algorithms that seek to do justice to the representation of groups defined along sensitive attributes such as race and gender. We observe that clustering algorithms could…

Machine Learning · Computer Science 2023-01-02 Stanley Simoes , Deepak P , Muiris MacCarthaigh

We give an efficient algorithm for Centroid-Linkage Hierarchical Agglomerative Clustering (HAC), which computes a $c$-approximate clustering in roughly $n^{1+O(1/c^2)}$ time. We obtain our result by combining a new Centroid-Linkage HAC…

Data Structures and Algorithms · Computer Science 2024-06-10 MohammadHossein Bateni , Laxman Dhulipala , Willem Fletcher , Kishen N Gowda , D Ellis Hershkowitz , Rajesh Jayaram , Jakub Łącki
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