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Given a stream of points in a metric space, is it possible to maintain a constant approximate clustering by changing the cluster centers only a small number of times during the entire execution of the algorithm? This question received…

数据结构与算法 · 计算机科学 2020-11-16 Hendrik Fichtenberger , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson

The popular K-means clustering algorithm potentially suffers from a major weakness for further analysis or interpretation. Some cluster may have disproportionately more (or fewer) points from one of the subpopulations in terms of some…

机器学习 · 计算机科学 2026-02-10 Guancheng Zhou , Haiping Xu , Hongkang Xu , Chenyu Li , Donghui Yan

We consider the classical $k$-means clustering problem in the setting bi-criteria approximation, in which an algoithm is allowed to output $\beta k > k$ clusters, and must produce a clustering with cost at most $\alpha$ times the to the…

数据结构与算法 · 计算机科学 2015-08-04 Konstantin Makarychev , Yury Makarychev , Maxim Sviridenko , Justin Ward

Given a set of points, clustering consists of finding a partition of a point set into $k$ clusters such that the center to which a point is assigned is as close as possible. Most commonly, centers are points themselves, which leads to the…

机器学习 · 计算机科学 2023-10-16 Maria Sofia Bucarelli , Matilde Fjeldsø Larsen , Chris Schwiegelshohn , Mads Bech Toftrup

We study fair clustering problems as proposed by Chierichetti et al. (NIPS 2017). Here, points have a sensitive attribute and all clusters in the solution are required to be balanced with respect to it (to counteract any form of…

数据结构与算法 · 计算机科学 2021-03-10 Melanie Schmidt , Chris Schwiegelshohn , Christian Sohler

We show that the popular k-means clustering algorithm (Lloyd's heuristic), used for a variety of scientific data, can result in outcomes that are unfavorable to subgroups of data (e.g., demographic groups). Such biased clusterings can have…

机器学习 · 计算机科学 2020-10-30 Mehrdad Ghadiri , Samira Samadi , Santosh Vempala

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…

We study the $k$-median with discounts problem, wherein we are given clients with non-negative discounts and seek to open at most $k$ facilities. The goal is to minimize the sum of distances from each client to its nearest open facility…

数据结构与算法 · 计算机科学 2021-11-19 Shichuan Deng

The issue of fairness in machine learning stems from the fact that historical data often displays biases against specific groups of people which have been underprivileged in the recent past, or still are. In this context, one of the…

机器学习 · 计算机科学 2022-01-19 Mattia Cerrato , Marius Köppel , Alexander Segner , Stefan Kramer

Hierarchical Agglomerative Clustering (HAC) algorithms are extensively utilized in modern data science, and seek to partition the dataset into clusters while generating a hierarchical relationship between the data samples. HAC algorithms…

机器学习 · 计算机科学 2023-08-01 Anshuman Chhabra , Prasant Mohapatra

Consensus clustering seeks to combine multiple clusterings of the same dataset, potentially derived by considering various non-sensitive attributes by different agents in a multi-agent environment, into a single partitioning that best…

机器学习 · 计算机科学 2026-02-13 Diptarka Chakraborty , Kushagra Chatterjee , Debarati Das , Tien-Long Nguyen

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…

数据结构与算法 · 计算机科学 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

Fair clustering enjoyed a surge of interest recently. One appealing way of integrating fairness aspects into classical clustering problems is by introducing multiple covering constraints. This is a natural generalization of the robust (or…

数据结构与算法 · 计算机科学 2022-07-07 Georg Anegg , Laura Vargas Koch , Rico Zenklusen

In metric $k$-clustering, we are given as input a set of $n$ points in a general metric space, and we have to pick $k$ centers and cluster the input points around these chosen centers, so as to minimize an appropriate objective function. In…

数据结构与算法 · 计算机科学 2024-11-06 Sayan Bhattacharya , Martín Costa , Ermiya Farokhnejad

We consider the well-studied Robust $(k, z)$-Clustering problem, which generalizes the classic $k$-Median, $k$-Means, and $k$-Center problems. Given a constant $z\ge 1$, the input to Robust $(k, z)$-Clustering is a set $P$ of $n$ weighted…

We consider the approximability of center-based clustering problems where the points to be clustered lie in a metric space, and no candidate centers are specified. We call such problems "continuous", to distinguish from "discrete"…

数据结构与算法 · 计算机科学 2022-09-05 Deeparnab Chakrabarty , Maryam Negahbani , Ankita Sarkar

In this paper, we present a local search-based algorithm for individually fair clustering in the presence of outliers. We consider the individual fairness definition proposed in Jung et al., which requires that each of the $n$ points in the…

数据结构与算法 · 计算机科学 2025-10-08 Binita Maity , Shrutimoy Das , Anirban Dasgupta

We consider the problem of deep fair clustering, which partitions data into clusters via the representations extracted by deep neural networks while hiding sensitive data attributes. To achieve fairness, existing methods present a variety…

机器学习 · 计算机科学 2024-03-26 Xiang Zhang

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

数据结构与算法 · 计算机科学 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

We introduce and study the $k$-center clustering problem with set outliers, a natural and practical generalization of the classical $k$-center clustering with outliers. Instead of removing individual data points, our model allows discarding…

数据结构与算法 · 计算机科学 2025-12-23 Vaishali Surianarayanan , Neeraj Kumar , Stavros Sintos