Hello I was wondering if anyone could help. I am using R to perform random 
projection on Gaussians. 
I need to take k Gaussian random vectors U1,...,Uk in R(reals) 
Then for any vector v in d dimensions, perform the random projection: 
f(v) = v.U1, v.U2, ..., v.Uk which reduces v from d dimensions to k dimensions 
So i need v1,...vn so n vectors 

and then the basic idea is that the relative orders will be preserved between 
the vectors v after projection ie the nearet neighbours for each vectors will 
be the same before projection (v1,v2,...,vn) and after projection 
f(v1),...f(vk) 

I'm struggling to produce this in R. I've managed to make a matrix for U and V 
However I now need to use the scalar product to perform the projection, taking 
each row of v (vi) and multiplying it with every column of the U matrix. I need 
to perform this for n vectors and have a matrix as the outcome. 

This would then allow me to find the distances between each f(vi)! 

Any help would be greatly appreciated, thankyou!
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