Simulated Annealing in Convex Bodies and an 0*(n4) Volume Algorithm

  • Authors:
  • László Lovász;Santosh Vempala

  • Affiliations:
  • -;-

  • Venue:
  • FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2003

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Abstract

We present a new algorithm for computing the volume of a convex body in \mathbb{R}^n. The main ingredient of the algorithm is a "morphing" technique that can be viewed as a variant of simulated annealing. Its complexity is 0*(n4), improving on the previous best algorithm by a factor of n.