No Free Lunch and Benchmarks
Author(s) -
Edgar A. DuéñezGuzmán,
Michael D. Vose
Publication year - 2012
Publication title -
evolutionary computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.732
H-Index - 82
eISSN - 1530-9304
pISSN - 1063-6560
DOI - 10.1162/evco_a_00077
Subject(s) - minimax , benchmark (surveying) , permutation (music) , measure (data warehouse) , computer science , matching (statistics) , perspective (graphical) , mathematical optimization , mathematics , algorithm , theoretical computer science , artificial intelligence , data mining , statistics , physics , geodesy , acoustics , geography
We extend previous results concerning black box search algorithms, presenting new theoretical tools related to no free lunch (NFL) where functions are restricted to some benchmark (that need not be permutation closed), algorithms are restricted to some collection (that need not be permutation closed) or limited to some number of steps, or the performance measure is given. Minimax distinctions are considered from a geometric perspective, and basic results on performance matching are also presented.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom