The Earth Mover's distanc1e was first introduced as a purely empirical ways to measure texture and color similarities. We show that it has a rigorous probabilistic interpretation and is conceptually equivalent to the Mallows distance on probability distributions. The two distances are exactly the same when applied to probability distributions, but behave differently when applied to unnormalized distributions with different masses, called signatures. We discuss the advantages and disadvantages of both distances, and statistical issues involved in computing them from data. We also report some texture classification results for the Mallows distance applied to texture features and compare several ways of estimating feature distributions. In addition, we list some known probabilistic properties of this distance.
The Earth Mover's distance is the Mallows distance: some insights from statistics
Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001 ; 2 ; 251-256 vol.2
2001-01-01
500807 byte
Conference paper
Electronic Resource
English
The Earth Mover's Distance is the Mallows Distance: Some Insights from Statistics
British Library Conference Proceedings | 2001
|Fast Contour Matching Using Approximate Earth Mover's Distance
British Library Conference Proceedings | 2004
|TEXT CATEGORIZATION USING EARTH MOVER'S DISTANCE AS SIMILARITY MEASURE
British Library Conference Proceedings | 2007
|Tensor-SIFT Based Earth Mover’s Distance for Contour Tracking
British Library Online Contents | 2013
|