symbolic regression (or symbolic function identification)can be done by
genetic programming (many other methods are available ). symbolic
regression finds the symbolic expression function to the given data input
and outputs and outputs an expression best fitted for the inputs. the basic
difference between symbolic regression and normal regression is normal
regression assumes a model(expression) and determines the coefficients,
where as symbolic regression searches for the model and fits it.
Currently mathematica, matlab and many more are supporting(implemented)
symbolic regression.
http://library.wolfram.com/infocenter/Conferences/5392/
http://sites.google.com/site/gptips4matlab/
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