2018
DOI: 10.1162/evco_a_00210
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On Proportions of Fit Individuals in Population of Mutation-Based Evolutionary Algorithm with Tournament Selection

Abstract: In this article, we consider a fitness-level model of a non-elitist mutation-only evolutionary algorithm (EA) with tournament selection. The model provides upper and lower bounds for the expected proportion of the individuals with fitness above given thresholds. In the case of so-called monotone mutation, the obtained bounds imply that increasing the tournament size improves the EA performance. As corollaries, we obtain an exponentially vanishing tail bound for the Randomized Local Search on unimodal functions… Show more

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Cited by 17 publications
(4 citation statements)
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References 34 publications
(61 reference statements)
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“…These feature subsets were then optimized for high AUC scores as determined by the leave-out site CV using the five sites that include both cases and controls. Multi-objective optimization was conducted with the aid of a number of successful GA strategies, and these include: random tournament selection (20), feature set mutations, repeated runs with isolated populations, a sparsity objective similar in function to “Age-fitness Pareto optimization” (21), among others. An introduction to GA and a complete description of our design decisions regarding the algorithm are provided in the supplemental material.…”
Section: Methodsmentioning
confidence: 99%
“…These feature subsets were then optimized for high AUC scores as determined by the leave-out site CV using the five sites that include both cases and controls. Multi-objective optimization was conducted with the aid of a number of successful GA strategies, and these include: random tournament selection (20), feature set mutations, repeated runs with isolated populations, a sparsity objective similar in function to “Age-fitness Pareto optimization” (21), among others. An introduction to GA and a complete description of our design decisions regarding the algorithm are provided in the supplemental material.…”
Section: Methodsmentioning
confidence: 99%
“…С обширным перечнем известных результатов и их обсуждением можно ознакомиться в обзорах [54,55]. Среди российских ученых стоит отметить В. Редько [56,57], Е. Семенкина [58,59], С. Родзина [60,61], А. Еремеева [62][63][64][65].…”
Section: Introductionunclassified
“…С обширным перечнем известных результатов и их обсуждением можно ознакомиться в обзорах [54,55]. Среди российских ученых стоит отметить В. Редько [56,57], Е. Семенкина [58,59], С. Родзина [60,61], А. Еремеева [62][63][64][65].…”
Section: Introductionunclassified