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arXiv · 1608.06498

Fast binary embeddings with Gaussian circulant matrices: improved bounds

Sjoerd Dirksen·Alexander Stollenwerk
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Abstract

We consider the problem of encoding a finite set of vectors into a small number of bits while approximately retaining information on the angular distances between the vectors. By deriving improved variance bounds related to binary Gaussian circulant embeddings, we largely fix a gap in the proof of the best known fast binary embedding method. Our bounds also show that well-spreadness assumptions on the data vectors, which were needed in earlier work on variance bounds, are unnecessary. In addition, we propose a new binary embedding with a faster running time on sparse data.

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Sjoerd Dirksen, Alexander Stollenwerk. 2016-08-23. Fast binary embeddings with Gaussian circulant matrices: improved bounds. https://arxiv.org/abs/1608.06498

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