• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Industrial Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Industrial Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Computing minimum-volume enclosing axis-aligned ellipsoids

      Thumbnail
      View / Download
      412.5 Kb
      Author(s)
      Kumar, P.
      Yıldırım, E. A.
      Date
      2008
      Source Title
      Journal of Optimization Theory and Applications
      Print ISSN
      0022-3239
      Electronic ISSN
      1573-2878
      Publisher
      Springer
      Volume
      136
      Issue
      2
      Pages
      211 - 228
      Language
      English
      Type
      Article
      Item Usage Stats
      190
      views
      226
      downloads
      Abstract
      Given a set of points S = {x1 ,..., xm}⊂ ℝn and ε>0, we propose and analyze an algorithm for the problem of computing a (1+ε)-approximation to the minimum-volume axis-aligned ellipsoid enclosing S. We establish that our algorithm is polynomial for fixed ε. In addition, the algorithm returns a small core set X ⊆ S, whose size is independent of the number of points m, with the property that the minimum-volume axis-aligned ellipsoid enclosing X is a good approximation of the minimum-volume axis-aligned ellipsoid enclosing S. Our computational results indicate that the algorithm exhibits significantly better performance than the theoretical worst-case complexity estimate.
      Keywords
      Approximation algorithms
      Axis-aligned ellipsoids
      Core sets
      Enclosing ellipsoids
      Permalink
      http://hdl.handle.net/11693/23220
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s10957-007-9295-9
      Collections
      • Department of Industrial Engineering 758
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCoursesThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCourses

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the User and Access Services. Phone: (312) 290 1298
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy