Device and method to generate an approximating function

Abstract

Abstract Device (5) for generating an approximating function based on first pairs ((X1, Y1) to (X6, Y6)) of values associating a dependent quantity (Y1 to Y6) with an independent quantity (X1 to X6), and for determining second pairs (XA, Y'A) of values of the said quantities in accordance with the said approximating function. The device comprises: - first means (10) for determining iteratively at least one current linear regression function in order to select that one of the current linear functions which yields the approximation of all the pairs of the said string with minimum errors, and in order to code, with the aid of specific codes (p, q), the selected linear regression function, - and second means (17) for determining the said second pairs (XA, Y'A) with the aid of the said specific codes. The device can be used to calculate approximate values of mathematical functions, for example within a neural network, or to determine a regression function forming an approximation to experimental measurement values, for example scattered measurements arising from the monitoring of an industrial process. The invention also relates to a method for generating an approximating function. Application: approximate calculation of mathematical functions, calculation of regression functions. <IMAGE>

Inventors

• 👤 Yannick Deville

Bibliographic Details