Optimal robust expensive optimization is tractable

  • Authors:
  • Philippe Rolet;Michèle Sebag;Olivier Teytaud

  • Affiliations:
  • TAO (Inria),Lri,Cnrs UMR 8623, u. Paris-Sud, France, Orsay, France;TAO (Inria),Lri,Cnrs UMR 8623, u. Paris-Sud, France, Orsay, France;TAO (Inria),Lri,Cnrs UMR 8623, u. Paris-Sud, France, Orsay, France

  • Venue:
  • Proceedings of the 11th Annual conference on Genetic and evolutionary computation
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

Following a number of recent papers investigating the possibility of optimal comparison-based optimization algorithms for a given distribution of probability on fitness functions, we (i) discuss the comparison-based constraints (ii) choose a setting in which theoretical tight bounds are known (iii) develop a careful implementation using billiard algorithms, Upper Confidence trees and (iv) experimentally test the tractability of the approach. The results, on still very simple cases, show that the approach, yet still preliminary, could be tested successfully until dimension 10 and horizon 50 iterations within a few hours on a standard computer, with convergence rate far better than the best algorithms.