Robust federated learning in a heterogeneous environment
We study a recently proposed large-scale distributed learning paradigm, namely Federated
Learning, where the worker machines are end users' own devices. Statistical and …
Learning, where the worker machines are end users' own devices. Statistical and …
On the cost of essentially fair clusterings
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 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 …
median, $ k $-means and $ k $-center, under an individual notion of fairness proposed by …
A survey on approximation in parameterized complexity: Hardness and algorithms
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 …
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 …
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 …
different demographic groups and the goal is to pick $ k $ centers with the minimum …
[HTML][HTML] How to find a good explanation for clustering?
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 …
techniques. However, due to complicated dependencies on all the features, it is challenging …
A local search algorithm for k-means with outliers
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 …
related to unsupervised learning. It is known that k-means clustering is highly sensitive to the …
A constant approximation for colorful k-center
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 …
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
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 …
clustering problems: Given a set of clients C and a set of facilities F in a metric space (C∪ F …