Title :
Remarks on a recent paper on the "no free lunch" theorems
Author :
Köppen, Mario ; Wolpert, David H. ; Macready, William G.
Author_Institution :
Fraunhofer IPK, Berlin, Germany
fDate :
6/1/2001 12:00:00 AM
Abstract :
This note discusses the recent paper "Some technical remarks on the proof of the no free lunch theorem" by Koppen (2000). In that paper, some technical issues related to the formal proof of the no free lunch (NFL) theorem for search were given by Wolpert and Macready (1995, 1997). The present authors explore the issues raised in that paper including the presentation of a simpler version of the NFL proof in accord with a suggestion made explicitly by Koppen (2000) and implicitly by Wolpert and Macready (1997). They also includes the correction of an incorrect claim made by Koppen (2000) of a limitation of the NFL theorem. Finally, some thoughts on future research directions for research into algorithm performance are given.
Keywords :
genetic algorithms; knowledge representation; learning (artificial intelligence); learning systems; search problems; genetic algorithm; knowledge representation; learning systems; no free lunch theorems; search problem; Algorithm design and analysis; Cost function; Genetic algorithms; Knowledge representation; Learning systems; NASA; Stochastic processes;
Journal_Title :
Evolutionary Computation, IEEE Transactions on
DOI :
10.1109/4235.930318
