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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