Convergence properties of the cross-entropy method for discrete optimization

Convergence properties of the cross-entropy method for discrete optimization

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Article ID: iaor20083389
Country: Netherlands
Volume: 35
Issue: 5
Start Page Number: 573
End Page Number: 580
Publication Date: Sep 2007
Journal: Operations Research Letters
Authors: , ,
Abstract:

We present new theoretical convergence results on the cross-entropy (CE) method for discrete optimization. We show that a popular implementation of the method converges, and finds an optimal solution with probability arbitrarily close to 1. We also give conditions under which an optimal solution is generated eventually with probability 1.

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