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Symbolic regression (symbreg): A simple GP example with Open BEAGLE
Copyright (C) 2001-2003
by Christian Gagne <cgagne@gmail.com>
and Marc Parizeau <parizeau@gel.ulaval.ca>
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Getting started
===============
Example is compiled in binary 'symbreg'. Usage options is described by
executing it with command-line argument '-OBusage'. The detailed help can
also be obtained with argument '-OBhelp'.
Objective
=========
Find a function of one independent variable and one dependent variable, in
symbolic form, that fits a given sample of 20 $(x_i,y_i)$ data points,
where the target function is the quadratic polynomial $x^4 + x^3 + x^2 + x$.
Terminal set
============
X (the independent variable)
PI
Ephemeral constants randomly generated in $[-1,1]$
Function set
============
+
-
*
/ (protected division)
SIN
COS
EXP
LOG (protected logarithm)
Fitness cases
=============
The given sample of 20 data points $(x_i,y_i)$, randomly chosen within
interval [-1,1].
Fitness
=======
$\frac{1.}{1.+RMSE}$ where RMSE is the Root Mean Square Error on the
fitness cases.
Stopping criteria
=================
When the evolution reaches the maximum number of generations.
Reference
=========
John R. Koza, "Genetic Programming: On the Programming of Computers by Means
of Natural Selection", MIT Press, 1992, pages 162-169.
Brett
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