IDEAS home Printed from https://ideas.repec.org/a/adr/anecst/y2017i128p229-259.html
   My bibliography  Save this article

An Inverse Problem: Recovery of a Distribution Using Wasserstein Barycenter

Author

Listed:
  • Eustasio DEL BARRIO
  • Jean-Michel LOUBES
  • Bruno PELLETIER

Abstract

We propose to study the inverse problem of estimating a distribution observed through an image by a parametric operator. We construct first estimators for the individual parameters of the operators and study their behaviour, then we invert the approximated operator to obtain and estimator of the distribution. The estimation procedure is given by the minimization of a criterion that compares the alignment of the operator to the Wasserstein barycenter of these warped distributions.

Suggested Citation

  • Eustasio DEL BARRIO & Jean-Michel LOUBES & Bruno PELLETIER, 2017. "An Inverse Problem: Recovery of a Distribution Using Wasserstein Barycenter," Annals of Economics and Statistics, GENES, issue 128, pages 229-259.
    • Handle: RePEc:adr:anecst:y:2017:i:128:p:229-259
    DOI: 10.15609/annaeconstat2009.128.0229
    as

    Download full text from publisher

    File URL: http://www.jstor.org/stable/10.15609/annaeconstat2009.128.0229
    Download Restriction: no
    File URL: https://libkey.io/10.15609/annaeconstat2009.128.0229?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Keywords

    Wasserstein Distance; Inverse Problem; Registration.;
    All these keywords.

    JEL classification:

    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:adr:anecst:y:2017:i:128:p:229-259. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Secretariat General or Laurent Linnemer (email available below). General contact details of provider: https://edirc.repec.org/data/ensaefr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.