On Sun, Mar 25, 2012 at 11:38:50PM +0200, Andreas wrote:
> > Unlike something like spectral clustering, it is the euclidean distance
> > to the centers that is minimized. Thus K-Means will seek clusters that
> > are regular in the flat euclidean space.

> Ok, that's right. Though I would argue that the distance measure
> is not the only factor here. MeanShift also works with a euclidean
> distance by using a Gaussian weighted density.
> Here the difference is more in the objective then in the underlying 
> distance.

Granted. Do you have suggestions for a better formulation? It would be
helpful.

> I'm tempted but would like to avoid going down that road ;)
> >> Basically Shi/Malik multipy by the inverse diagonal from the right while
> >> Jordan/Ng multiply by the square root form left and right - or something ;)

> > But if you do it right, the two approaches solve the same problem, AFAIK.

> They lead to different generalized eigenvalue problems:
> http://arxiv.org/pdf/0711.0189

Yes (that's exactly the reference that I had in mind), but they should
minimize the same energy, right?

G

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