2012/7/30 Gael Varoquaux <[email protected]>:
> On Mon, Jul 30, 2012 at 11:52:36AM +0200, Olivier Grisel wrote:
>> > In addition, a voronoi tessalation computed with a KMeans during the
>> > train could be used to avoid testing all the samples in the large n
>> > situation.
>
>> Hum, that won't work for exact k-NN.
>
> I don't understand. Yes I do believe that it would. The idea is to do a 2
> step predict, in which you first find the k nearest centroid, and then
> you do a kNN restricted to the initial training samples that are in the
> corresponding clustering. This is a trick to do fast kNN in the high n
> limit.

Take the example of 1-NN it can be very well happen that for samples
close to the voronoi boundary, the closest neighbor is on the other
side of the boundary.

-- 
Olivier
http://twitter.com/ogrisel - http://github.com/ogrisel

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