# A Sparse Johnson--Lindenstrauss Transform

Clinical Orthopaedics and Related Research, 2010.

Keywords:
nearest neighbor searchdimension reductionlower boundlinear algebracompressed sensing

Abstract:

Dimension reduction is a key algorithmic tool with many applications including nearest-neighbor search, compressed sensing and linear algebra in the streaming model. In this work we obtain a {\em sparse} version of the fundamental tool in dimension reduction --- the Johnson--Lindenstrauss transform. Using hashing and local densification...More

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