Wasserstein and Zolotarev distances

被引:2
|
作者
Belili, N [1 ]
Heinich, H
机构
[1] Univ Rouen, UPRES A CNRS 6085, F-76821 Mt St Aignan, France
[2] INSA Rouen, UPRESA A CNRS 6085, Dept Genie Math, F-76131 Mont St Aignan, France
关键词
D O I
10.1016/S0764-4442(00)00274-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this Note we compare Wasserstein and Zolotarev distances between probability measures on Rd In the case d = 1, we give a new proof of Rio's theorem. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:811 / 814
页数:4
相关论文
共 50 条
  • [21] Adapted Wasserstein distances and stability in mathematical finance
    Backhoff-Veraguas, Julio
    Bartl, Daniel
    Beiglboeck, Mathias
    Eder, Manu
    FINANCE AND STOCHASTICS, 2020, 24 (03) : 601 - 632
  • [22] Adapted Wasserstein distances and stability in mathematical finance
    Julio Backhoff-Veraguas
    Daniel Bartl
    Mathias Beiglböck
    Manu Eder
    Finance and Stochastics, 2020, 24 : 601 - 632
  • [23] ON WASSERSTEIN DISTANCES FOR AFFINE TRANSFORMATIONS OF RANDOM VECTORS
    Hamm, Keaton
    Korzeniowski, Andrzej
    FOUNDATIONS OF DATA SCIENCE, 2024, 6 (04): : 468 - 491
  • [24] Proxying credit curves via Wasserstein distances
    Matteo Michielon
    Asma Khedher
    Peter Spreij
    Annals of Operations Research, 2024, 336 : 1351 - 1367
  • [25] Optimal transport and Wasserstein distances for causal models
    Cheridito, Patrick
    Eckstein, Stephan
    BERNOULLI, 2025, 31 (02) : 1351 - 1376
  • [26] Estimation of Wasserstein distances in the Spiked Transport Model
    Niles-Weed, Jonathan
    Rigollet, Philippe
    BERNOULLI, 2022, 28 (04) : 2663 - 2688
  • [27] A New Perspective on Wasserstein Distances for Kinetic Problems
    Iacobelli, Mikaela
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 244 (01) : 27 - 50
  • [28] On Efficient Multilevel Clustering via Wasserstein Distances
    Viet Huynh
    Nhat Ho
    Nhan Dam
    XuanLong Nguyen
    Yurochkin, Mikhail
    Hung Bui
    Dinh Phung
    JOURNAL OF MACHINE LEARNING RESEARCH, 2021, 22
  • [29] Universality of persistence diagrams and the bottleneck and Wasserstein distances
    Bubenik P.
    Elchesen A.
    Computational Geometry: Theory and Applications, 2022, 105-106
  • [30] Histogram based segmentation using wasserstein distances
    Chan, Tony
    Esedoglu, Selirn
    Ni, Kangyu
    SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, PROCEEDINGS, 2007, 4485 : 697 - +