6 papers
Fully Dynamic Euclidean k-Means
Sayan Bhattacharya, Martín Costa, Ermiya Farokhnejad +3
We consider the Euclidean -means clustering problem in a dynamic setting, where we have to explicitly maintain a solution (a set of centers) subje…
Relative Error Fair Clustering in the Weak-Strong Oracle Model
Vladimir Braverman, Prathamesh Dharangutte, Shaofeng H. -C. Jiang +4
We study fair clustering problems in a setting where distance information is obtained from two sources: a strong oracle providing exact distances, but at a high cost, and a weak or…
Fully Scalable MPC Algorithms for Euclidean k-Center
Artur Czumaj, Guichen Gao, Mohsen Ghaffari +1
The -center problem is a fundamental optimization problem with numerous applications in machine learning, data analysis, data mining, and communication networks. The -center…
Local Search for Clustering in Almost-linear Time
Shaofeng H. -C. Jiang, Yaonan Jin, Jianing Lou +1
We propose the first \emph{local search} algorithm for Euclidean clustering that attains an -approximation in almost-linear time. Specifically, for Euclidean -Means, our a…
Coresets for Robust Clustering via Black-box Reductions to Vanilla Case
Shaofeng H. -C. Jiang, Jianing Lou
We devise -coresets for robust -Clustering with outliers through black-box reductions to vanilla case. Given an -coreset construction for vanilla clustering with s…
Faster Approximation Algorithms for k-Center via Data Reduction
Arnold Filtser, Shaofeng H. -C. Jiang, Yi Li +4
We study efficient algorithms for the Euclidean -Center problem, focusing on the regime of large . We take the approach of data reduction by considering -coreset, which is…