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Overrepresentations in Neutral Genotype-Phenotype Mappings and their Applications

Authors: David Iclanzan; D. Dumitrescu;

Overrepresentations in Neutral Genotype-Phenotype Mappings and their Applications

Abstract

This work presents in a first phase an original solution to the "Worst 1-MAX solver" competition, proposed at the Genetic and Evolutionary Computation Conference - GECCO' 2007 where the goal was to evolve the solution of the 1-MAX problem as late as possible within 1000 generations. If PEA,n (gles1000) is a function which describes the convergence probability of the algorithm EA on the function 1-MAX of size n within g generations, then our proposed generational evolutionary algorithm EA* has PEA*n(1000) = 1, always solving the problem within 1000 generations. The interesting particularity of the algorithm is that for generations g < 1000 the convergence probability is exponential in n. We achieve this performance by using a neutral genotype-phenotype mapping with a high degree of overrepresentation. As a second result, we show that deliberated overrepresentations may extended to problems of general interests, having a wide applicability in developing sustainable evolutionary methods.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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