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.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    The Earth Mover's distance is the Mallows distance: some insights from statistics


    Beteiligte:
    Levina, E. (Autor:in) / Bickel, P. (Autor:in)


    Erscheinungsdatum :

    01.01.2001


    Format / Umfang :

    500807 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    The Earth Mover's Distance is the Mallows Distance: Some Insights from Statistics

    Levina, E. / Bickel, P. / IEEE | British Library Conference Proceedings | 2001


    Fast Contour Matching Using Approximate Earth Mover's Distance

    Grauman, K. / Darrell, T. / IEEE Computer Society | British Library Conference Proceedings | 2004



    TEXT CATEGORIZATION USING EARTH MOVER'S DISTANCE AS SIMILARITY MEASURE

    Yanagimoto, H. / Omatu, S. | British Library Conference Proceedings | 2007


    Tensor-SIFT Based Earth Mover’s Distance for Contour Tracking

    Li, P. | British Library Online Contents | 2013