Abstract: A method of modelling for checking the results provided by an artificial neural network, includes generating an artificial neural network; training the artificial neural network on a training database; testing the artificial neural network on at least one test datum dependent on a plurality of variables vi; so as to obtain a result R per test datum, the result R being dependent on the variables vi; for each result R: approximating by a linear model a first function F1 dependent solely on the result R so as to obtain a second function F2, the first function F1 and the second function F2 being dependent on the variables vi; simplifying the second function F2 to obtain a third function F3 dependent on a smaller number of variables vi; applying to the third function F3 the inverse function of the first function F1 to obtain an operating model of the neural network.