IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v289y2020i2d10.1007_s10479-020-03513-y.html
   My bibliography  Save this article

Duality in balance optimization subset selection

Author

Listed:
  • Hee Youn Kwon

    (Northwestern University
    Northwestern Institute on Complex Systems (NICO))

  • Jason J. Sauppe

    (University of Wisconsin-La Crosse)

  • Sheldon H. Jacobson

    (University of Illinois at Urbana-Champaign)

Abstract

In this paper, we investigate a specific optimization problem that arises in the context of Balance Optimization Subset Selection (BOSS), which is an optimization framework for causal inference. Most BOSS problems can be formulated as mixed integer linear programs. By relaxing the integrality constraints so that fractional contributions of control units are permitted, a linear program (LP) is obtained. Properties of this LP and its dual are investigated and a sensitivity analysis is conducted to characterize how the objective value changes as the covariate values are perturbed.

Suggested Citation

  • Hee Youn Kwon & Jason J. Sauppe & Sheldon H. Jacobson, 2020. "Duality in balance optimization subset selection," Annals of Operations Research, Springer, vol. 289(2), pages 277-289, June.
    • Handle: RePEc:spr:annopr:v:289:y:2020:i:2:d:10.1007_s10479-020-03513-y
    DOI: 10.1007/s10479-020-03513-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-020-03513-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-020-03513-y?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:spr:annopr:v:289:y:2020:i:2:d:10.1007_s10479-020-03513-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.