Efficient Sketches for Earth-Mover Distance, with Applications

Author(s)
Indyk, Piotr; Woodruff, David; Do Ba, Khanh; Andoni, Alexandr
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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.
Date issued
2010-03
URI
http://hdl.handle.net/1721.1/58879
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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
Other identifiers
INSPEC Accession Number: 11207133
ISSN
0272-5428
Keywords
Earth-Mover Distance, embedding, sketching, streaming
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