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Asymmetric Random Projections
by
Liberty, Edo
, Zohar Karnin
, Ryder, Nick
in
Classification
/ Mathematical analysis
/ Matrix methods
/ Multiplication
2019
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Asymmetric Random Projections
by
Liberty, Edo
, Zohar Karnin
, Ryder, Nick
in
Classification
/ Mathematical analysis
/ Matrix methods
/ Multiplication
2019
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Paper
Asymmetric Random Projections
2019
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Overview
Random projections (RP) are a popular tool for reducing dimensionality while preserving local geometry. In many applications the data set to be projected is given to us in advance, yet the current RP techniques do not make use of information about the data. In this paper, we provide a computationally light way to extract statistics from the data that allows designing a data dependent RP with superior performance compared to data-oblivious RP. We tackle scenarios such as matrix multiplication and linear regression/classification in which we wish to estimate inner products between pairs of vectors from two possibly different sources. Our technique takes advantage of the difference between the sources and is provably superior to oblivious RPs. Additionally, we provide extensive experiments comparing RPs with our approach showing significant performance lifts in fast matrix multiplication, regression and classification problems.
Publisher
Cornell University Library, arXiv.org
Subject
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