Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple and sharp analysis of k-means||   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.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an