Title
Asymptotic convergence rates for averaging strategies
Abstract
ABSTRACTParallel black box optimization consists in estimating the optimum of a function using λ parallel evaluations of f. Averaging the μ best individuals among the λ evaluations is known to provide better estimates of the optimum of a function than just picking up the best. In continuous domains, this averaging is typically just based on (possibly weighted) arithmetic means. Previous theoretical results were based on quadratic objective functions. In this paper, we extend the results to a wide class of functions, containing three times continuously differentiable functions with unique optimum. We prove formal rate of convergences and show they are indeed better than pure random search asymptotically in λ. We validate our theoretical findings with experiments on some standard black box functions.
Year
DOI
Venue
2021
10.1145/3450218.3477302
FOGA
Keywords
DocType
Citations 
Black-Box, Randomized Search Heuristics, Design of Experiments, Parallel Optimization, Evolutionary Computation
Conference
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Meunier, Laurent122.05
Iskander Legheraba200.34
Yann Chevaleyre300.34
Olivier Teytaud400.34