Fair k-center clustering for data summarization

M Kleindessner, P Awasthi… - … on Machine Learning, 2019 - proceedings.mlr.press
In data summarization we want to choose $ k $ prototypes in order to summarize a data set.
We study a setting where the data set comprises several demographic groups and we are …

Improved approximation algorithms for individually fair clustering

A Vakilian, M Yalciner - International conference on artificial …, 2022 - proceedings.mlr.press
We consider the $ k $-clustering problem with $\ell_p $-norm cost, which includes $ k $-
median, $ k $-means and $ k $-center, under an individual notion of fairness proposed by …

Constant approximation for k-median and k-means with outliers via iterative rounding

R Krishnaswamy, S Li, S Sandeep - Proceedings of the 50th annual ACM …, 2018 - dl.acm.org
In this paper, we present a new iterative rounding framework for many clustering problems.
Using this, we obtain an (α1+ є≤ 7.081+ є)-approximation algorithm for k-median with …

Approximation algorithms for socially fair clustering

Y Makarychev, A Vakilian - Conference on Learning Theory, 2021 - proceedings.mlr.press
We present an (e^{O (p)}(log\ell)/(log log\ell))-approximation algorithm for socially fair
clustering with the l_p-objective. In this problem, we are given a set of points in a metric …

Approximation algorithms for fair range clustering

SS Hotegni, S Mahabadi… - … Conference on Machine …, 2023 - proceedings.mlr.press
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 …

LP-based algorithms for capacitated facility location

HC An, M Singh, O Svensson - SIAM Journal on Computing, 2017 - SIAM
Linear programming (LP) has played a key role in the study of algorithms for combinatorial
optimization problems. In the field of approximation algorithms, this is well illustrated by the …

How to solve fair k-center in massive data models

A Chiplunkar, S Kale… - … on Machine Learning, 2020 - proceedings.mlr.press
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 …

Diversity-Aware k-median: Clustering with Fair Center Representation

S Thejaswi, B Ordozgoiti, A Gionis - … 13–17, 2021, Proceedings, Part II 21, 2021 - Springer
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 …

Matroid and knapsack center problems

DZ Chen, J Li, H Liang, H Wang - Algorithmica, 2016 - Springer
In the classic k-center problem, we are given a metric graph, and the objective is to select k
nodes as centers such that the maximum distance from any vertex to its closest center is …

Local search heuristics for the mobile facility location problem

R Halper, S Raghavan, M Sahin - Computers & Operations Research, 2015 - Elsevier
In the mobile facility location problem (MFLP), one seeks to relocate (or move) a set of
existing facilities and assign clients to these facilities so that the sum of facility movement …