Abstract:A classical result of Johnson and Lindenstrauss states that a set of n high dimensional data points can be projected down to O(log n/ 2 ) dimensions such that the square of their pairwise distances is preserved up to a small distortion ∈ (0, 1). It has been proved that the JL lemma is optimal for the general case, therefore, improvements can only be explored for special cases. This work aims to improve the −2 dependency based on techniques inspired by the Hutch++ Algorithm [25], which reduces −2 to −1 for the … Show more
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