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Evolutionary Computation

Fall 2001, Vol. 9, No. 3, Pages 355-370
(doi: 10.1162/106365601750406037)
© 2001 Massachusetts Institute of Technology
Form Invariance and Implicit Parallelism
Article PDF (229.53 KB)
Abstract

Holland's schema theorem (an inequality) may be viewed as an attempt to understand genetic search in terms of a coarse graining of the state space. Stephens and Waelbroeck developed that perspective, sharpening the schema theorem to an equality. Of particular interest is a “form invariance” of their equations; the form is unchanged by the degree of coarse graining. This paper establishes a similar form invariance for the more general model of Vose et al. and uses the attendant machinery as a springboard for an interpretation and discussion of implicit parallelism.