@inproceedings{3694d22e21804801ad3bb49f80aebd30,
title = "A probabilistic database approach to the analysis of genetic algorithms",
abstract = "This paper takes a fresh look at some of the key ideas of genetic algorithms, using concepts drawn from the theory of majorization and probabilistic databases. We show the intimate relationships between GAs and the theory of probabilistic databases. We show how deception is well described using Saari's theorem, and its relationships with the Simpson and other paradoxes in decision theory. Reconstructability, a concept of fundamental importance in databases, is proposed as a useful substitute for deception. The database projection operator is connected with hyperplane partitions, and is used to show the nexus between point crossover operators and the join operator. Using results from probabilistic databases, we show that crossover may be considered as a majorization operator.",
author = "Anil Menon and Kishan Mehrotra and Mohan, {Chilukuri K.} and Sanjay Ranka",
note = "Publisher Copyright: {\textcopyright} 1996, Springer-Verlag. All rights reserved.; International Conference on Evolutionary Computation - 4th International Conference on Parallel Problem Solving from Nature, PPSN 1996 ; Conference date: 22-09-1996 Through 26-09-1996",
year = "1996",
doi = "10.1007/3-540-61723-X_980",
language = "English (US)",
isbn = "354061723X",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "164--173",
editor = "Hans-Michael Voigt and Ingo Rechenberg and Hans-Paul Schwefel and Hans-Michael Voigt and Werner Ebeling",
booktitle = "Parallel Problem Solving from Nature - PPSN IV - International Conference on Evolutionary Computation - The 4th International Conference on Parallel Problem Solving from Nature, Proceedings",
}