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We study a variant of the $k$-server problem, the infinite server problem, in which infinitely many servers reside initially at a particular point of the metric space and serve a sequence of requests. In the framework of competitive…

Data Structures and Algorithms · Computer Science 2017-03-01 Christian Coester , Elias Koutsoupias , Philip Lazos

In the non-uniform $k$-center problem, the objective is to cover points in a metric space with specified number of balls of different radii. Chakrabarty, Goyal, and Krishnaswamy [ICALP 2016, Trans. on Algs. 2020] (CGK, henceforth) give a…

Data Structures and Algorithms · Computer Science 2021-02-24 Deeparnab Chakrabarty , Maryam Negahbani

A fair clustering instance is given a data set $A$ in which every point is assigned some color. Colors correspond to various protected attributes such as sex, ethnicity, or age. A fair clustering is an instance where membership of points in…

Data Structures and Algorithms · Computer Science 2021-03-09 Matteo Böhm , Adriano Fazzone , Stefano Leonardi , Chris Schwiegelshohn

An outlier detection method may be considered fair over specified sensitive attributes if the results of outlier detection are not skewed towards particular groups defined on such sensitive attributes. In this task, we consider, for the…

Machine Learning · Computer Science 2020-08-06 Deepak P , Savitha Sam Abraham

A high number of discrete optimization problems, including Vertex Cover, Set Cover or Feedback Vertex Set, can be unified into the class of covering problems. Several of them were shown to be inapproximable by deterministic algorithms. This…

Data Structures and Algorithms · Computer Science 2013-05-14 Etienne Birmelé

Algorithms are increasingly used to aid with high-stakes decision making. Yet, their predictive ability frequently exhibits systematic variation across population subgroups. To assess the trade-off between fairness and accuracy using finite…

Econometrics · Economics 2025-06-17 Yiqi Liu , Francesca Molinari

Community search over heterogeneous information networks has been applied to wide domains, such as activity organization and team formation. From these scenarios, the members of a group with the same treatment often have different levels of…

Databases · Computer Science 2024-04-19 Taige Zhao , Jianxin Li , Ningning Cui , Wei Luo

We study coresets for clustering with capacity and fairness constraints. Our main result is a near-linear time algorithm to construct $\tilde{O}(k^2\varepsilon^{-2z-2})$-sized $\varepsilon$-coresets for capacitated $(k,z)$-clustering which…

Data Structures and Algorithms · Computer Science 2023-07-17 Lingxiao Huang , Pinyan Lu , Xuan Wu

Ranking plays a central role in connecting users and providers in Information Retrieval (IR) systems, making provider-side fairness an important challenge. While recent research has begun to address fairness in ranking, most existing…

Information Retrieval · Computer Science 2026-02-03 Yiteng Tu , Weihang Su , Shuguang Han , Yiqun Liu , Qingyao Ai

In the Euclidean $k$-center problem in sliding window model, input points are given in a data stream and the goal is to find the $k$ smallest congruent balls whose union covers the $N$ most recent points of the stream. In this model, input…

Computational Geometry · Computer Science 2020-01-07 Sang-Sub Kim

We study the fair variant of the classic $k$-median problem introduced by Chierichetti et al. [2017]. In the standard $k$-median problem, given an input pointset $P$, the goal is to find $k$ centers $C$ and assign each input point to one of…

Data Structures and Algorithms · Computer Science 2019-06-12 Arturs Backurs , Piotr Indyk , Krzysztof Onak , Baruch Schieber , Ali Vakilian , Tal Wagner

We study the problem of selecting the top-k candidates from a pool of applicants, where each candidate is associated with a score indicating his/her aptitude. Depending on the specific scenario, such as job search or college admissions,…

Computers and Society · Computer Science 2021-03-08 Giorgio Barnabo' , Carlos Castillo , Michael Mathioudakis , Sergio Celis

With the increasing pervasiveness of Artificial Intelligence (AI), many visual analytics tools have been proposed to examine fairness, but they mostly focus on data scientist users. Instead, tackling fairness must be inclusive and involve…

Human-Computer Interaction · Computer Science 2022-02-16 Yan Lyu , Hangxin Lu , Min Kyung Lee , Gerhard Schmitt , Brian Y. Lim

The impossibility theorem of fairness is a foundational result in the algorithmic fairness literature. It states that outside of special cases, one cannot exactly and simultaneously satisfy all three common and intuitive definitions of…

Computers and Society · Computer Science 2022-08-29 Brian Hsu , Rahul Mazumder , Preetam Nandy , Kinjal Basu

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

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

We investigate Ekici (2024b)'s multi-center allocation problems, focusing on fairness in this context. We introduce three fairness notions that respect centers' priorities: internal fairness, external fairness, and procedural fairness. The…

Theoretical Economics · Economics 2026-03-03 Yao Cheng , Di Feng

Since many critical decisions impacting human lives are increasingly being made by algorithms, it is important to ensure that the treatment of individuals under such algorithms is demonstrably fair under reasonable notions of fairness. One…

Machine Learning · Computer Science 2023-08-24 Swati Gupta , Vijay Kamble

The classical cake cutting problem studies how to find fair allocations of a heterogeneous and divisible resource among multiple agents. Two of the most commonly studied fairness concepts in cake cutting are proportionality and…

Data Structures and Algorithms · Computer Science 2019-07-15 Xiaohui Bei , Xiaoming Sun , Hao Wu , Jialin Zhang , Zhijie Zhang , Wei Zi

There is a well known intrinsic trade-off between the fairness of a representation and the performance of classifiers derived from the representation. Due to the complexity of optimisation algorithms in most modern representation learning…

Machine Learning · Statistics 2025-10-27 Mark Kozdoba , Binyamin Perets , Shie Mannor
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