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https://issues.apache.org/jira/browse/MATH-1465?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16576710#comment-16576710
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Gilles commented on MATH-1465:
------------------------------

If you intend to implement this, don't forget to use the [development version 
of the code (git "master" 
branch)|https://git1-us-west.apache.org/repos/asf?p=commons-math.git;a=tree].

> Increase the initial sampling speed of KMeansPlusPlusClusterer for large k
> --------------------------------------------------------------------------
>
>                 Key: MATH-1465
>                 URL: https://issues.apache.org/jira/browse/MATH-1465
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 3.6.1
>            Reporter: yu zhang
>            Priority: Minor
>              Labels: performance
>   Original Estimate: 1,440h
>  Remaining Estimate: 1,440h
>
> As the major difference of KMeans++ to classic Kmeans, an initial distance 
> square sampling process is executed, the function is named 
> "chooseInitialCenters" in the current implementation. The time complexity is 
> O(dkn), where d is the dimension, k is the cluster number and n is the number 
> of points.
> In paper "_Ackermann, Lammersen, Märtens, Raupach, Sohler, Swierkot. 
> StreamKM++: A Clustering Algorithm for Data Streams. In Proceedings of the 
> 12th Workshop on Algorithm Engineering and Experiments (ALENEX 2010)_", the 
> authors introduced a data structure named "coreset tree" which can reduce the 
> complexity of the initial sampling to O(dn log k). This is useful in the 
> scenario when value of k is large, say 1000, then the run speed of the 
> algorithm will be much faster.



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