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Topic: Question: Centroid given a distance metric
Replies: 14   Last Post: Feb 12, 2013 1:04 PM

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Posts: 12,067
Registered: 7/15/05
Re: Question: Centroid given a distance metric
Posted: Feb 12, 2013 2:45 AM
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Andrey Savov wrote:
>quasi wrote:
>> Andrey Savov wrote:
>> >
>> >Was wondering if you guys can point me in the right
>> >direction. Are there any known/studied methods to calculate
>> >a centroid
>> >(geometric center) of finite set of points in n-dimensional
>> >real Euclidean space by only knowing a distance metric
>> >f(x,y): R^n x R^n -> R ?

>> If all you know are the pairwise distances, how are the
>> points specified? And in what form do you want the centroid
>> specified?

>Points are specified by their n-dimensional coordinates.
>Centroid should be specified the same way.

Can you give a concrete example, specifying

a norm on R^n
a finite set of points in R^n



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