Simple and sharp analysis of k-means||

March 05, 2020 Β· Declared Dead Β· πŸ› International Conference on Machine Learning

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Authors VÑclav Rozhoň arXiv ID 2003.02518 Category cs.DS: Data Structures & Algorithms Citations 6 Venue International Conference on Machine Learning Last Checked 4 months ago
Abstract
We present a simple analysis of k-means|| (Bahmani et al., PVLDB 2012) -- a distributed variant of the k-means++ algorithm (Arthur and Vassilvitskii, SODA 2007). Moreover, the bound on the number of rounds is improved from $O(\log n)$ to $O(\log n / \log\log n)$, which we show to be tight.
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