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.
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