Title :
Efficient Sketches for Earth-Mover Distance, with Applications
Author :
Andoni, Alexandr ; Ba, Khanh Do ; Indyk, Piotr ; Woodruff, David
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 [¿]2, we achieve space ¿¿ for approximation O(1/¿), for any desired 0 < ¿ < 1. Our sketch has immediate applications to the streaming and nearest neighbor search problems.
Keywords :
computational geometry; constant approximation; earth mover distance; efficient sketches; sublinear sketching algorithm; two dimensional grid; Algorithm design and analysis; Application software; Approximation algorithms; Computer science; Cost function; Design optimization; Image recognition; Kernel; Nearest neighbor searches; Streaming media; Earth-Mover Distance; embedding; sketching; streaming;
Conference_Titel :
Foundations of Computer Science, 2009. FOCS '09. 50th Annual IEEE Symposium on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-5116-6
DOI :
10.1109/FOCS.2009.25
