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Related papers: Core-sets for Fair and Diverse Data Summarization

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Coresets have emerged as a powerful tool to summarize data by selecting a small subset of the original observations while retaining most of its information. This approach has led to significant computational speedups but the performance of…

Statistics Theory · Mathematics 2020-12-10 Paxton Turner , Jingbo Liu , Philippe Rigollet

As machine learning systems are increasingly used to make real world legal and financial decisions, it is of paramount importance that we develop algorithms to verify that these systems do not discriminate against minorities. We design a…

Artificial Intelligence · Computer Science 2020-01-01 Osbert Bastani , Xin Zhang , Armando Solar-Lezama

Fairness is an important topic for medical image analysis, driven by the challenge of unbalanced training data among diverse target groups and the societal demand for equitable medical quality. In response to this issue, our research adopts…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Wenyi Li , Haoran Xu , Guiyu Zhang , Huan-ang Gao , Mingju Gao , Mengyu Wang , Hao Zhao

Uniform sampling is a highly efficient method for data summarization. However, its effectiveness in producing coresets for clustering problems is not yet well understood, primarily because it generally does not yield a strong coreset, which…

Data Structures and Algorithms · Computer Science 2026-02-19 Amir Carmel , Robert Krauthgamer

Coresets are small data summaries that are sufficient for model training. They can be maintained online, enabling efficient handling of large data streams under resource constraints. However, existing constructions are limited to simple…

Machine Learning · Computer Science 2020-10-23 Zalán Borsos , Mojmír Mutný , Andreas Krause

Fair graph clustering is crucial for ensuring equitable representation and treatment of diverse communities in network analysis. Traditional methods often ignore disparities among social, economic, and demographic groups, perpetuating…

Machine Learning · Computer Science 2024-10-22 Sina Baharlouei , Sadra Sabouri

We initiate the study of coresets for clustering in graph metrics, i.e., the shortest-path metric of edge-weighted graphs. Such clustering problems are essential to data analysis and used for example in road networks and data visualization.…

Data Structures and Algorithms · Computer Science 2022-12-13 Daniel Baker , Vladimir Braverman , Lingxiao Huang , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

An instance of colorful k-center consists of points in a metric space that are colored red or blue, along with an integer k and a coverage requirement for each color. The goal is to find the smallest radius \r{ho} such that there exist…

Data Structures and Algorithms · Computer Science 2020-07-09 Xinrui Jia , Kshiteej Sheth , Ola Svensson

Graph summarization via node grouping is a popular method to build concise graph representations by grouping nodes from the original graph into supernodes and encoding edges into superedges such that the loss of adjacency information is…

Social and Information Networks · Computer Science 2022-11-09 Arpit Merchant , Michael Mathioudakis , Yanhao Wang

\textbf{Background:} Fairness and diversity are receiving growing attention in software engineering, particularly as AI and machine learning systems increasingly influence decision-making processes. While fairness is often examined at the…

Software Engineering · Computer Science 2026-03-16 Cleyton Magalhes , Ronnie de Souza Santos , Bimpe Ayoola , Brody Stuart-Verner , Italo Santos

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 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

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

Clustering is an important part of many modern data analysis pipelines, including network analysis and data retrieval. There are many different clustering algorithms developed by various communities, and it is often not clear which…

Machine Learning · Computer Science 2019-10-04 Maria-Florina Balcan , Travis Dick , Manuel Lang

Specific data compression techniques, formalized by the concept of coresets, proved to be powerful for many optimization problems. In fact, while tightly controlling the approximation error, coresets may lead to significant speed up of the…

Optimization and Control · Mathematics 2022-04-05 Maximilian Fiedler , Peter Gritzmann , Fabian Klemm

Given a collection of $m$ sets from a universe $\mathcal{U}$, the Maximum Set Coverage problem consists of finding $k$ sets whose union has largest cardinality. This problem is NP-Hard, but the solution can be approximated by a polynomial…

Data Structures and Algorithms · Computer Science 2023-12-13 Stephen Jaud , Anthony Wirth , Farhana Choudhury

In network analysis and graph mining, closeness centrality is a popular measure to infer the importance of a vertex. Computing closeness efficiently for individual vertices received considerable attention. The NP-hard problem of group…

Data Structures and Algorithms · Computer Science 2019-11-11 Eugenio Angriman , Alexander van der Grinten , Henning Meyerhenke

We study fairness in social choice settings under single-peaked preferences. Construction and characterization of social choice rules in the single-peaked domain has been extensively studied in prior works. In fact, in the single-peaked…

Computer Science and Game Theory · Computer Science 2022-07-19 Gogulapati Sreedurga , Soumyarup Sadhukhan , Souvik Roy , Yadati Narahari

Given a set of strings over a specified alphabet, identifying a median or consensus string that minimizes the total distance to all input strings is a fundamental data aggregation problem. When the Hamming distance is considered as the…

Data Structures and Algorithms · Computer Science 2026-02-11 Diptarka Chakraborty , Rudrayan Kundu , Nidhi Purohit , Aravinda Kanchana Ruwanpathirana

Clustering is a fundamental problem in many areas, which aims to partition a given data set into groups based on some distance measure, such that the data points in the same group are similar while that in different groups are dissimilar.…

Neural and Evolutionary Computing · Computer Science 2023-07-25 Chao Qian
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