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相关论文: Fair Representation Clustering with Several Protec…

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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…

机器学习 · 计算机科学 2023-06-23 Sèdjro S. Hotegni , Sepideh Mahabadi , Ali Vakilian

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…

机器学习 · 计算机科学 2020-11-10 Elfarouk Harb , Ho Shan Lam

Clustering is a fundamental tool in data mining. It partitions points into groups (clusters) and may be used to make decisions for each point based on its group. However, this process may harm protected (minority) classes if the clustering…

数据结构与算法 · 计算机科学 2018-11-27 Ioana O. Bercea , Martin Groß , Samir Khuller , Aounon Kumar , Clemens Rösner , Daniel R. Schmidt , Melanie Schmidt

What does it mean for a clustering to be fair? One popular approach seeks to ensure that each cluster contains groups in (roughly) the same proportion in which they exist in the population. The normative principle at play is balance: any…

机器学习 · 计算机科学 2021-01-29 Mohsen Abbasi , Aditya Bhaskara , Suresh Venkatasubramanian

We study the question of fair clustering under the {\em disparate impact} doctrine, where each protected class must have approximately equal representation in every cluster. We formulate the fair clustering problem under both the $k$-center…

机器学习 · 计算机科学 2018-02-19 Flavio Chierichetti , Ravi Kumar , Silvio Lattanzi , Sergei Vassilvitskii

We introduce a novel problem for diversity-aware clustering. We assume that the potential cluster centers belong to a set of groups defined by protected attributes, such as ethnicity, gender, etc. We then ask to find a minimum-cost…

数据结构与算法 · 计算机科学 2022-10-25 Suhas Thejaswi , Bruno Ordozgoiti , Aristides Gionis

Clustering is a fundamental problem in unsupervised machine learning, and fair variants of it have recently received significant attention due to its societal implications. In this work we introduce a novel definition of individual fairness…

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…

数据结构与算法 · 计算机科学 2021-03-09 Matteo Böhm , Adriano Fazzone , Stefano Leonardi , Chris Schwiegelshohn

Clustering is a well-studied unsupervised learning task that aims to partition data points into a number of clusters. In many applications, these clusters correspond to real-world constructs (e.g., electoral districts, playlists, TV…

最优化与控制 · 数学 2025-09-25 Connor Lawless , Oktay Gunluk

Clustering is an unsupervised learning task that aims to partition data into a set of clusters. In many applications, these clusters correspond to real-world constructs (e.g. electoral districts) whose benefit can only be attained by groups…

机器学习 · 计算机科学 2023-02-09 Connor Lawless , Oktay Gunluk

We extend the fair machine learning literature by considering the problem of proportional centroid clustering in a metric context. For clustering $n$ points with $k$ centers, we define fairness as proportionality to mean that any $n/k$…

机器学习 · 计算机科学 2020-10-13 Xingyu Chen , Brandon Fain , Liang Lyu , Kamesh Munagala

Many approximation algorithms and heuristic algorithms to find a fair clustering have emerged. In this paper we define a new and natural variant of fair clustering problem and design a polynomial time algorithm to compute an optimal fair…

计算几何 · 计算机科学 2025-11-12 Ayano Moritaka , Shin-ichi Nakano , Kento Tanaka , Noriaki Yoshida

We study the problem of finding low-cost Fair Clusterings in data where each data point may belong to many protected groups. Our work significantly generalizes the seminal work of Chierichetti et.al. (NIPS 2017) as follows. - We allow the…

数据结构与算法 · 计算机科学 2019-06-18 Suman K. Bera , Deeparnab Chakrabarty , Nicolas J. Flores , Maryam Negahbani

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…

机器学习 · 计算机科学 2023-01-02 Stanley Simoes , Deepak P , Muiris MacCarthaigh

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…

数据结构与算法 · 计算机科学 2026-04-20 Nicole Funk , Annika Hennes , Johanna Hillebrand , Sarah Sturm

In this work, we study pairwise fair clustering with $\ell \ge 2$ groups, where for every cluster $C$ and every group $i \in [\ell]$, the number of points in $C$ from group $i$ must be at most $t$ times the number of points in $C$ from any…

数据结构与算法 · 计算机科学 2025-02-28 Sayan Bandyapadhyay , Eden Chlamtáč , Zachary Friggstad , Mahya Jamshidian , Yury Makarychev , Ali Vakilian

In this work, we study the socially fair $k$-median/$k$-means problem. We are given a set of points $P$ in a metric space $\mathcal{X}$ with a distance function $d(.,.)$. There are $\ell$ groups: $P_1,\dotsc,P_{\ell} \subseteq P$. We are…

数据结构与算法 · 计算机科学 2021-09-14 Dishant Goyal , Ragesh Jaiswal

Consensus clustering, a fundamental task in machine learning and data analysis, aims to aggregate multiple input clusterings of a dataset, potentially based on different non-sensitive attributes, into a single clustering that best…

机器学习 · 计算机科学 2025-06-18 Diptarka Chakraborty , Kushagra Chatterjee , Debarati Das , Tien Long Nguyen , Romina Nobahari

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…

数据结构与算法 · 计算机科学 2025-05-23 Ameet Gadekar , Suhas Thejaswi

In this paper we initiate a systematic study of exact algorithms for well-known clustering problems, namely $k$-Median and $k$-Means. In $k$-Median, the input consists of a set $X$ of $n$ points belonging to a metric space, and the task is…

数据结构与算法 · 计算机科学 2022-08-16 Fedor V. Fomin , Petr A. Golovach , Tanmay Inamdar , Nidhi Purohit , Saket Saurabh
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