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Related papers: Fair Range k-center

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Many real-world applications pose challenges in incorporating fairness constraints into the $k$-center clustering problem, where the dataset consists of $m$ demographic groups, each with a specified upper bound on the number of centers to…

Data Structures and Algorithms · Computer Science 2026-01-19 Longkun Guo , Zeyu Lin , Chaoqi Jia , Chao Chen

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

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

In this paper, we study the problem of fair clustering on the $k-$center objective. In fair clustering, the input is $N$ points, each belonging to at least one of $l$ protected groups, e.g. male, female, Asian, Hispanic. The objective is to…

Machine Learning · Computer Science 2020-11-10 Elfarouk Harb , Ho Shan Lam

We study discrete k-clustering problems in general metric spaces that are constrained by a combination of two different fairness conditions within the demographic fairness model. Given a metric space (P,d), where every point in P is…

Data Structures and Algorithms · Computer Science 2026-04-20 Nicole Funk , Annika Hennes , Johanna Hillebrand , Sarah Sturm

Fueled by massive data, important decision making is being automated with the help of algorithms, therefore, fairness in algorithms has become an especially important research topic. In this work, we design new streaming and distributed…

Data Structures and Algorithms · Computer Science 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

The $k$-center problem requires the selection of $k$ points (centers) from a given metric pointset $W$ so to minimize the maximum distance of any point of $W$ from the closest center. This paper focuses on a fair variant of the problem,…

Data Structures and Algorithms · Computer Science 2025-03-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Francesco Visonà

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

Clustering is a foundational problem in machine learning with numerous applications. As machine learning increases in ubiquity as a backend for automated systems, concerns about fairness arise. Much of the current literature on fairness…

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

In this work, we study diversity-aware clustering problems where the data points are associated with multiple attributes resulting in intersecting groups. A clustering solution needs to ensure that the number of chosen cluster centers from…

Data Structures and Algorithms · Computer Science 2025-05-21 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Aristides Gionis

Center-based clustering techniques are fundamental in some areas of machine learning such as data summarization. Generic $k$-center algorithms can produce biased cluster representatives so there has been a recent interest in fair $k$-center…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-21 Jinxiang Gan , Mordecai Golin , Zonghan Yang , Yuhao Zhang

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

We study the $k$-center problem in the context of individual fairness. Let $P$ be a set of $n$ points in a metric space and $r_x$ be the distance between $x \in P$ and its $\lceil n/k \rceil$-th nearest neighbor. The problem asks to…

Data Structures and Algorithms · Computer Science 2025-03-26 Matthijs Ebbens , Nicole Funk , Jan Höckendorff , Christian Sohler , Vera Weil

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

In this work, we study the hardness of approximation of the fair $k$-center problem. In this problem, we are given a set of data points in a metric space that is partitioned into groups and the task is to choose a subset of $k$-data points,…

Computational Complexity · Computer Science 2026-02-24 Suhas Thejaswi

We study streaming algorithms for proportionally fair clustering, a notion originally suggested by Chierichetti et. al. (2017), in the sliding window model. We show that although there exist efficient streaming algorithms in the…

Data Structures and Algorithms · Computer Science 2025-03-10 Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Qiaoyuan Yang , Yubo Zhang , Samson Zhou

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 study (Euclidean) $k$-median and $k$-means with constraints in the streaming model. There have been recent efforts to design unified algorithms to solve constrained $k$-means problems without using knowledge of the specific constraint at…

Data Structures and Algorithms · Computer Science 2021-06-15 Melanie Schmidt , Julian Wargalla

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
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