Presentation 1994/5/19
The Schema Theorem for a Large Number of Indivisuals
Yoshinori Uesaka,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) It has been pointed out£Uesaka,1994! that(1)the inequality appea red in the schema theorem is not possible to be interpreted without replacing the random variables by their expectations,(2) this replacement,however,prevents the theorem from being true, and(3)a revised version of the theorem is able to be given from a probabilistic point of view.Those results are the case of a finite number of individuals included in the population.It is shown that if each individual of the initial population is selected with an identical and independent probability distribution,the original version of the inequality in the schema theorem becomes true with probability one as the number of individuals in the population approaches to infinity.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Genetic Algorithm / Schema Theorem / Schema / Reproduction / Crossover / Mutation
Paper # NC94-10
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Committee NC
Conference Date 1994/5/19(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The Schema Theorem for a Large Number of Indivisuals
Sub Title (in English)
Keyword(1) Genetic Algorithm
Keyword(2) Schema Theorem
Keyword(3) Schema
Keyword(4) Reproduction
Keyword(5) Crossover
Keyword(6) Mutation
1st Author's Name Yoshinori Uesaka
1st Author's Affiliation Science University of Tokyo()
Date 1994/5/19
Paper # NC94-10
Volume (vol) vol.94
Number (no) 40
Page pp.pp.-
#Pages 8
Date of Issue