Computing minimum-volume enclosing axis-aligned ellipsoids
| dc.citation.epage | 228 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.spage | 211 | en_US |
| dc.citation.volumeNumber | 136 | en_US |
| dc.contributor.author | Kumar, P. | en_US |
| dc.contributor.author | Yıldırım, E. A. | en_US |
| dc.date.accessioned | 2016-02-08T10:10:28Z | |
| dc.date.available | 2016-02-08T10:10:28Z | |
| dc.date.issued | 2008 | en_US |
| dc.department | Department of Industrial Engineering | en_US |
| dc.description.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. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T10:10:28Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2008 | en |
| dc.identifier.doi | 10.1007/s10957-007-9295-9 | en_US |
| dc.identifier.eissn | 1573-2878 | |
| dc.identifier.issn | 0022-3239 | |
| dc.identifier.uri | http://hdl.handle.net/11693/23220 | |
| dc.language.iso | English | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s10957-007-9295-9 | en_US |
| dc.source.title | Journal of Optimization Theory and Applications | en_US |
| dc.subject | Approximation algorithms | en_US |
| dc.subject | Axis-aligned ellipsoids | en_US |
| dc.subject | Core sets | en_US |
| dc.subject | Enclosing ellipsoids | en_US |
| dc.title | Computing minimum-volume enclosing axis-aligned ellipsoids | en_US |
| dc.type | Article | en_US |
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