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20192023
most citedk-means++: few more steps yield constant approximation

5 citations · 25 across the 19 of their papers we have counts for

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cs.DS2020

Improved Deterministic Network Decomposition

Mohsen Ghaffari, Christoph Grunau, Václav Rozhoň

Network decomposition is a central tool in distributed graph algorithms. We present two improvements on the state of the art for network decomposition, which thus lead to improveme…

cs.DS2020

Adapting -means algorithms for outliers

Christoph Grunau, Václav Rozhoň

This paper shows how to adapt several simple and classical sampling-based algorithms for the -means problem to the setting with outliers. Recently, Bhaskara et al. (NeurIPS 2019…

cs.DS2020

Generalizing the Sharp Threshold Phenomenon for the Distributed Complexity of the Lovász Local Lemma

Sebastian Brandt, Christoph Grunau, Václav Rozhoň

Recently, Brandt, Maus and Uitto [PODC'19] showed that, in a restricted setting, the dependency of the complexity of the distributed Lovász Local Lemma (LLL) on the chosen LLL crit…

cs.DS2020★ 5 cited

k-means++: few more steps yield constant approximation

Davin Choo, Christoph Grunau, Julian Portmann +1

The k-means++ algorithm of Arthur and Vassilvitskii (SODA 2007) is a state-of-the-art algorithm for solving the k-means clustering problem and is known to give an O(log k)-approxim…

cs.DC2020★ 5 cited

Improved MPC Algorithms for MIS, Matching, and Coloring on Trees and Beyond

Mohsen Ghaffari, Christoph Grunau, Ce Jin

We present round scalable Massively Parallel Computation algorithms for maximal independent set and maximal matching, in trees and more generally graphs of bounded…