ufuncs, iterators

[Simon Burton]

Oh, that should probably read:

exp( -1/2\sigma^{2} ||x1_{i} - x2_{j}||_{2}^{2}) 

And when we vectorize this operation:

||x1_i - x2_j||^2 = ||x1_i||^2 + ||x2_i||^2 + 2*(x1_i,x2_j)

and the last term is the ip matrix.

It seems that this expression satisfies the linear operator
requirement (it's invarient under linear isometries).

Simon.


On Thu, 18 Aug 2005 23:12:21 -0500 (CDT)
Barry Smith <bsmith at mcs.anl.gov> wrote:

> 
>   In terms of exp( -1/2\sigma^{2} ||x_{i} - x_{j}||_{2}^{2})  
> what are they?
> 
>    Thanks
> 
>    Barry
> 
> 
> On Fri, 19 Aug 2005, Simon Burton wrote:
> 
> > On Thu, 18 Aug 2005 22:49:29 -0500 (CDT)
> > Barry Smith <bsmith at mcs.anl.gov> wrote:
> > 
> > > 
> > >   What is x1, x2 and ip?
> > > 
> > >    Barry
> > 
> > x1 and x2 are 2-arrays; their rows are the 'sample' vectors.
> > ip is the matrix of all inner products from x1 and x2.
> > 
> > Simon.
> > 
> > 
> > 
> 


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Simon Burton, B.Sc.
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