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Dec 29, 2015 at 1:04 comment added Turbo @SashoNikolov thank you for the link.
Dec 28, 2015 at 16:12 comment added Sasho Nikolov While there definitely are open questions about deterministically constructing matrices with the RIP property in polynomial time, I think this paper resolves the question of a deterministic JL lemma in time polynomial in $m$ cs.cmu.edu/~odonnell/papers/eio02.pdf. The issue with using this for constructing RIP matrices is that you would need it for an implicit $S$: the union of $k$-dimensional coordinate subspaces.
S Dec 27, 2015 at 16:45 history answered Paul Siegel CC BY-SA 3.0
S Dec 27, 2015 at 16:45 history made wiki Post Made Community Wiki by Paul Siegel