Shlomy, I will try to paraphrase what I understood:
a. You are interested in the centroid for its own sake, rather than the
cluster.
b. An ideal centroid will have only zeros or ones as its coordinates, and
thus create a summary of the cluster.
c. The current Tanimoto implementation gives you a different centroid, with
many small coordinate values.

I do not know enough of the math for K-means, but you could implement your
own distance function,
that will somehow penalize non-integral coordinates/distances.
I am not sure if such a function will generate a converging K-means
algorithm,
but it might be worth a shot.

If you are looking for summaries of vector sets, you can try matrix
factorizations
(PCA,SVD,NNMF), and see which dominant components come out.

HTH,
Yuval

On Thu, Jun 21, 2012 at 2:43 PM, Sean Owen <[email protected]> wrote:

> Erm, I think I am thinking of canopy clustering.
>
> For k-means, I suppose you could say the choice of the k means isn't
> quite right if k-1 of them are nowhere near most points. I don't know
> how they were chosen. But again maybe not the real issue at heart
> here.
>
> On Thu, Jun 21, 2012 at 12:36 PM, Shlomy Boshy <[email protected]>
> wrote:
> > Interesting - to which thresholds do you refer?
>

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