DocumentCode :
2170662
Title :
Simulated annealing in convex bodies and an O*(n4) volume algorithm
Author :
Lovász, Lászlo ; Vempala, Santosh
Author_Institution :
Microsoft Res., Redmond, WA, USA
fYear :
2003
fDate :
11-14 Oct. 2003
Firstpage :
650
Lastpage :
659
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.
Keywords :
computational complexity; computational geometry; randomised algorithms; simulated annealing; complexity; convex bodies; morphing technique; polynomial time; randomized algorithm; simulated annealing; volume computation algorithm; Artificial intelligence; Computational modeling; Engineering profession; Mathematics; Optimization methods; Polynomials; Search methods; Simulated annealing; Space stations; Temperature distribution;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Foundations of Computer Science, 2003. Proceedings. 44th Annual IEEE Symposium on
ISSN :
0272-5428
Print_ISBN :
0-7695-2040-5
Type :
conf
DOI :
10.1109/SFCS.2003.1238237
Filename :
1238237
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2170662
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