Wasserstein Metric

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High Quality Content by WIKIPEDIA articles! In mathematics, the Wasserstein (or Vasershtein) metric is a distance function defined between probability distributions on a given metric space M. Intuitively, if each distribution is viewed as a unit amount of "dirt" piled on M, the metric is the minimum "cost" of turning one pile into the other, which is assumed to be the amount of dirt that needs to be moved times the distance it has to be moved. Because of this analogy, the metric is known in computer science as the earth mover's distance. The name "Wasserstein/Vasershtein distance" was coined by R.L. Dobrushin in 1970, after the Russian mathematician Leonid Nasonovich Vasershtein who introduced the concept in 1969. Most English-language publications use the German spelling "Wasserstein" (attributed to the name "Vasershtein" being of Germanic origin).

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130361808
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H6mm x B220mm x T150mm
    • Jahr 2010
    • EAN 9786130361808
    • Format Fachbuch
    • ISBN 978-613-0-36180-8
    • Titel Wasserstein Metric
    • Untertitel Mathematics, Metric (mathematics), Measure (mathematics), Metric Space, Computer Science, Earth Mover's Distance, Radon Measure, Conditional Probability, Expected Value
    • Gewicht 151g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 100
    • Genre Mathematik

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