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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

The assignment of personnel to teams is a fundamental and ubiquitous managerial function, typically involving several objectives and a variety of idiosyncratic practical constraints. Despite the prevalence of this task in practice, the…

Optimization and Control · Mathematics 2018-04-03 Hoda Atef Yekta , David Bergman , Robert Day

We consider a classic many-to-one matching setting, where participants need to be assigned to teams based on the preferences of both sides. Unlike most of the matching literature, we aim to provide fairness not only to participants, but…

Theoretical Economics · Economics 2025-09-30 Ayumi Igarashi , Naoyuki Kamiyama , Yasushi Kawase , Warut Suksompong , Hanna Sumita , Yu Yokoi

In this work we formulate and formally characterize group fairness as a multi-objective optimization problem, where each sensitive group risk is a separate objective. We propose a fairness criterion where a classifier achieves minimax risk…

Machine Learning · Statistics 2020-11-04 Natalia Martinez , Martin Bertran , Guillermo Sapiro

We introduce and study a multi-class online resource allocation problem with group fairness guarantees. The problem involves allocating a fixed amount of resources to a sequence of agents, each belonging to a specific group. The primary…

Computer Science and Game Theory · Computer Science 2025-01-28 Faraz Zargari , Hossein Nekouyan Jazi , Bo Sun , Xiaoqi Tan

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

In algorithmically fair prediction problems, a standard goal is to ensure the equality of fairness metrics across multiple overlapping groups simultaneously. We reconsider this standard fair classification problem using a probabilistic…

Machine Learning · Computer Science 2020-06-25 Forest Yang , Moustapha Cisse , Sanmi Koyejo

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

Computer Science and Game Theory · Computer Science 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

Package-to-group recommender systems recommend a set of unified items to a group of people. Different from conventional settings, it is not easy to measure the utility of group recommendations because it involves more than one user. In…

Information Retrieval · Computer Science 2021-12-30 Ryoma Sato

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

Ensuring fairness in matching algorithms is a key challenge in allocating scarce resources and positions. Focusing on Optimal Transport (OT), we introduce a novel notion of group fairness requiring that the probability of matching two…

Machine Learning · Statistics 2026-02-02 Linus Bleistein , Mathieu Dagréou , Francisco Andrade , Thomas Boudou , Aurélien Bellet

We consider the problem of assigning students to schools, when students have different utilities for schools and schools have capacity. There are additional group fairness considerations over students that can be captured either by concave…

Data Structures and Algorithms · Computer Science 2025-04-24 Santhini K. A. , Kamesh Munagala , Meghana Nasre , Govind S. Sankar

Clustering is a fundamental unsupervised learning problem where a dataset is partitioned into clusters that consist of nearby points in a metric space. A recent variant, fair clustering, associates a color with each point representing its…

Machine Learning · Computer Science 2023-01-10 Seyed A. Esmaeili , Brian Brubach , Aravind Srinivasan , John P. Dickerson

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

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

A challenge in fair algorithm design is that, while there are compelling notions of individual fairness, these notions typically do not satisfy desirable composition properties, and downstream applications based on fair classifiers might…

Data Structures and Algorithms · Computer Science 2022-04-07 Konstantina Bairaktari , Paul Langton , Huy L. Nguyen , Niklas Smedemark-Margulies , Jonathan Ullman

Fair clustering is the process of grouping similar entities together, while satisfying a mathematically well-defined fairness metric as a constraint. Due to the practical challenges in precise model specification, the prescribed fairness…

Machine Learning · Statistics 2021-02-09 Sainyam Galhotra , Sandhya Saisubramanian , Shlomo Zilberstein

Binary decision making classifiers are not fair by default. Fairness requirements are an additional element to the decision making rationale, which is typically driven by maximizing some utility function. In that sense, algorithmic fairness…

Computers and Society · Computer Science 2022-06-07 Joachim Baumann , Anikó Hannák , Christoph Heitz

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
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