041107 - Lecture 1 Recall No Free Lunch theorems Two...

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Lecture ??+1: 04/11/2007 Recall: No Free Lunch theorems. Two views (with warning that it’s not totally settled how they apply to evolutionary alogirthms.) Warning to exercise caution when applying these theorems. Bottom Line: the behavior of GAs, etc. behaves in a complicated way on the interplay between encoding, genetic operators, fitness function. Need to “make sense” together for the problem. Price’s Theorem: One theoretical attempt (promising but not “finished) at isolationg “make-sense” idea: Price’s Theorem from population genetics. Essentially if you have a “numerical observable” on a population (like fitness, etc.) if it exhibits high positive (or negative) correlation between the value on a set of parents and value on a set of offspring, then evolution will show a marked tendency to increase (decrease) value of observable as it proceeds. “correlation” in Price’s Theorem <==> interplay between encoding, fitness, genetic operators D’champs Idea : might try to design encodings to make the “Price correlation” large.
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