Robust federated learning in a heterogeneous environment

A Ghosh, J Hong, D Yin, K Ramchandran - arXiv preprint arXiv …, 2019 - arxiv.org
We study a recently proposed large-scale distributed learning paradigm, namely Federated
Learning, where the worker machines are end users' own devices. Statistical and …

On the cost of essentially fair clusterings

IO Bercea, M Groß, S Khuller, A Kumar… - arXiv preprint arXiv …, 2018 - arxiv.org
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 …

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 …

A survey on approximation in parameterized complexity: Hardness and algorithms

AE Feldmann, E Lee, P Manurangsi - Algorithms, 2020 - mdpi.com
Parameterization and approximation are two popular ways of coping with NP-hard
problems. More recently, the two have also been combined to derive many interesting …

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 …

[HTML][HTML] How to find a good explanation for clustering?

S Bandyapadhyay, FV Fomin, PA Golovach… - Artificial Intelligence, 2023 - Elsevier
Abstract k-means and k-median clustering are powerful unsupervised machine learning
techniques. However, due to complicated dependencies on all the features, it is challenging …

A local search algorithm for k-means with outliers

Z Zhang, Q Feng, J Huang, Y Guo, J Xu, J Wang - Neurocomputing, 2021 - Elsevier
Abstract k-Means is a well-studied clustering problem that finds applications in many fields
related to unsupervised learning. It is known that k-means clustering is highly sensitive to the …

A constant approximation for colorful k-center

S Bandyapadhyay, T Inamdar, S Pai… - arXiv preprint arXiv …, 2019 - arxiv.org
In this paper, we consider the colorful $ k $-center problem, which is a generalization of the
well-known $ k $-center problem. Here, we are given red and blue points in a metric space …

Breaching the 2 LMP Approximation Barrier for Facility Location with Applications to k-Median

V Cohen-Addad Viallat, F Grandoni, E Lee… - Proceedings of the 2023 …, 2023 - SIAM
The Uncapacitated Facility Location (UFL) problem is one of the most fundamental
clustering problems: Given a set of clients C and a set of facilities F in a metric space (C∪ F …