Simulated annealing in convex bodies and an O∗(n4) volume algorithm

L. Lovász, S. Vempala

Research output: Chapter in Book/Report/Conference proceedingConference contribution

22 Citations (Scopus)

Abstract

We present a new algorithm for computing the volume of a convex body in ℝn. The main ingredient of the algorithm is a "morphing" technique that can be viewed as a variant of simulated annealing. Its complexity is O∗(n4), improving on the previous best algorithm by a factor of n.

Original languageEnglish
Title of host publicationProceedings - 44th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2003
PublisherIEEE Computer Society
Pages650-659
Number of pages10
ISBN (Electronic)0769520405
DOIs
Publication statusPublished - Jan 1 2003
Event44th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2003 - Cambridge, United States
Duration: Oct 11 2003Oct 14 2003

Publication series

NameProceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
Volume2003-January
ISSN (Print)0272-5428

Other

Other44th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2003
CountryUnited States
CityCambridge
Period10/11/0310/14/03

Keywords

  • Artificial intelligence
  • Computational modeling
  • Engineering profession
  • Mathematics
  • Optimization methods
  • Polynomials
  • Search methods
  • Simulated annealing
  • Space stations
  • Temperature distribution

ASJC Scopus subject areas

  • Computer Science(all)

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  • Cite this

    Lovász, L., & Vempala, S. (2003). Simulated annealing in convex bodies and an O∗(n4) volume algorithm. In Proceedings - 44th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2003 (pp. 650-659). [1238237] (Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS; Vol. 2003-January). IEEE Computer Society. https://doi.org/10.1109/SFCS.2003.1238237