Title
Fast binary embeddings with Gaussian circulant matrices: improved bounds.
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.
Year
DOI
Venue
2018
10.1007/s00454-017-9964-x
Discrete and Computational Geometry
Keywords
DocType
Volume
Binary embeddings, Johnson–Lindenstrauss embeddings, Circulant matrices, 60B20, 68Q87
Journal
abs/1608.06498
Issue
ISSN
Citations 
3
0179-5376
2
PageRank 
References 
Authors
0.36
14
2
Name
Order
Citations
PageRank
Sjoerd Dirksen1322.75
Alexander Stollenwerk220.70