Conference Proceeding

No free lunch, program induction and combinatorial problems

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Citation

Woodward J & Neil JR (2003) No free lunch, program induction and combinatorial problems. In: Ryan C, Soule T, Keijzer M, Tsang E, Poli R & Costa E (eds.) Genetic Programming: 6th European Conference, EuroGP 2003 Essex, UK, April 14–16, 2003 Proceedings. Lecture Notes in Computer Science, 2610. 6th European Conference, EuroGP 2003, Essex, UK, 14.04.2003-16.04.2003. Berlin Heidelberg: Springer, pp. 475-484. http://link.springer.com/chapter/10.1007/3-540-36599-0_45#; https://doi.org/10.1007/3-540-36599-0_45

Abstract
This paper has three aims. Firstly, to clarify the poorly understood No Free Lunch Theorem (NFL) which states all search algorithms perform equally. Secondly, search algorithms are often applied to program induction and it is suggested that NFL does not hold due to the universal nature of the mapping between program space and functionality space. Finally, NFL and combinatorial problems are examined. When evaluating a candidate solution, it can be discarded without being fully examined. A stronger version of NFL is established for this class of problems where the goal is to minimize a quantity.

StatusPublished
Title of seriesLecture Notes in Computer Science
Number in series2610
Publication date31/12/2003
Publication date online30/04/2003
PublisherSpringer
Publisher URLhttp://link.springer.com/chapter/10.1007/3-540-36599-0_45#
Place of publicationBerlin Heidelberg
ISSN of series0302-9743
ISBN978-3-540-00971-9
Conference6th European Conference, EuroGP 2003
Conference locationEssex, UK
Dates