Better inform the parameter set and the statistical measures
#106 aperta il 21 mag 2020
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Descrizione
In the print equations and parameters, three improvements are needed:
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The parameter set should be shrunk to eliminate all duplicates (ill-conditioning of Hessian), as is also the case in Basis (ill-conditioning of regression). In the Lorenz example, the initial guess of 7 parameters can be shrunk to the final three parameters by observing that the absolute values of P1 and P2 are identical to double or even quadruple precision; P4, P5 and P7 are also identical. This leaves P1, P3 and P4 as the true parameters discovered by the reconstruction.
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The parameters should be presented with their standard errors to nail the point that the reconstruction method is extremely robust. Also print them with just 2 or 3 significant decimals.
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The AIC, AICC and BIC statistics should be printed out with the corresponding pass/fail statistical values or send the user to the docstring.