Abstract

Let Φ∈Rm x n be a sparse Johnson-Lindenstrauss transform [52] with column sparsity s. For a subset T of the unit sphere and ε∈(0,1/2), we study settings for m,s to ensure EΦ supx∈ T |Φ x|22 - 1| < ε, i.e. so that Φ preserves the norm of every x
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