TY - GEN

T1 - Free lunches for function and program induction

AU - Poli, Riccardo

AU - Graff, Mario

AU - McPhee, Nicholas Freitag

PY - 2009

Y1 - 2009

N2 - In this paper we prove that for a variety of practical problems and representations, there is a free lunch for search algorithms that specialise in the task of finding functions or programs that solve problems, such as genetic programming. In other words, not all such algorithms are equally good under all possible performance measures. We focus in particular on the case where the objective is to discover functions that fit sets of data-points - a task that we will call symbolic regression. We show under what conditions there is a free lunch for symbolic regression, highlighting that these are extremely restrictive.

AB - In this paper we prove that for a variety of practical problems and representations, there is a free lunch for search algorithms that specialise in the task of finding functions or programs that solve problems, such as genetic programming. In other words, not all such algorithms are equally good under all possible performance measures. We focus in particular on the case where the objective is to discover functions that fit sets of data-points - a task that we will call symbolic regression. We show under what conditions there is a free lunch for symbolic regression, highlighting that these are extremely restrictive.

KW - Genetic programming

KW - No-free Lunch

KW - Theory

UR - http://www.scopus.com/inward/record.url?scp=70349110962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349110962&partnerID=8YFLogxK

U2 - 10.1145/1527125.1527148

DO - 10.1145/1527125.1527148

M3 - Conference contribution

AN - SCOPUS:70349110962

SN - 9781605584140

T3 - Proceedings of the 10th ACM SIGEVO Workshop on Foundations of Genetic Algorithms, FOGA'09

SP - 183

EP - 194

BT - Proceedings of the 10th ACM SIGEVO Workshop on Foundations of Genetic Algorithms, FOGA'09

T2 - 10th ACM SIGEVO Workshop on Foundations of Genetic Algorithms, FOGA'09

Y2 - 9 January 2009 through 11 January 2009

ER -