Efficient Sketches for Earth-Mover Distance, with Applications
Author(s)Indyk, Piotr; Woodruff, David; Do Ba, Khanh; Andoni, Alexandr
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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.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
50th Annual IEEE Symposium on Foundations of Computer Science, 2009. FOCS '09
Institute of Electrical and Electronics Engineers
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.
Final published version
INSPEC Accession Number: 11207133
Earth-Mover Distance, embedding, sketching, streaming