TY - GEN
T1 - A probabilistic database approach to the analysis of genetic algorithms
AU - Menon, Anil
AU - Mehrotra, Kishan G
AU - Mohan, Chilukuri K.
AU - Ranka, Sanjay
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
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U2 - 10.1007/3-540-61723-X_980
DO - 10.1007/3-540-61723-X_980
M3 - Conference contribution
AN - SCOPUS:84959036903
SN - 354061723X
SN - 9783540617235
VL - 1141
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 164
EP - 173
BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PB - Springer Verlag
T2 - International Conference on Evolutionary Computation - 4th International Conference on Parallel Problem Solving from Nature, PPSN 1996
Y2 - 22 September 1996 through 26 September 1996
ER -