Efficient Sketches for Earth-Mover Distance, with Applications
Name
Andoni-2009-Efficient Sketches for Earth-Mover Distance, with Applications.pdf
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267.44 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Indyk, Piotr
Woodruff, David
Do Ba, Khanh
Andoni, Alexandr
Date Issued
March 2010
Journal
50th Annual IEEE Symposium on Foundations of Computer Science, 2009. FOCS '09
Publisher
Institute of Electrical and Electronics Engineers
Citation
Andoni, A. et al. “Efficient Sketches for Earth-Mover Distance, with Applications.” Foundations of Computer Science, 2009. FOCS '09. 50th Annual IEEE Symposium on. 2009. 324-330. © 2010 Institute of Electrical and Electronics Engineers.
Version
Final published version
Abstract
We provide the first sub-linear sketching algorithm for estimating the planar Earth-Mover Distance with a constant approximation. For sets living in the two-dimensional grid [Δ][superscript 2], we achieve space ΔE for approximation O(1/E), for any desired 0 < E < 1. Our sketch has immediate applications to the streaming and nearest neighbor search problems.
Subjects
Earth-Mover Distance
embedding
sketching
streaming
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/focs.2009.25
