Efficient Sketches for Earth-Mover Distance, with Applications

  • Authors:
  • Alexandr Andoni;Khanh Do Ba;Piotr Indyk;David Woodruff

  • Affiliations:
  • -;-;-;-

  • Venue:
  • FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2009

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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 $[\Delta]^2$, we achieve space$\Delta^{\eps}$ for approximation $O(1/\eps)$, for any desired $0