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I think I can prove that the largest leverage method results in the same initial design as the GS method. I also believe that it is waaaaaaaaaaay faster. I think what Wheeler describes in that expository doc is actually the greedy algorithm for determining the points in the candidate set of greatest leverage. I don't think it would be quick.
As you may have seen, several of the functions in Armadillo are based on the SVD. I would assume it's because it's a quicker way to go about computing certain things. It fact, this may be the fastest method for getting those points.
Is GS faster than largest leverage for finding an initial design, especially when candidate set is large?
See #1
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