Representing data having multi-dimensional input vectors and corresponding output element by piece-wise polynomials

摘要

Determining piece-wise polynomials which together would represent large data sets having multi-dimensional input vectors and corresponding output element. In an embodiment, a function/procedure/routine is recursively called/invoked to determine piece-wise polynomial is a data set cannot be entirely modeled by one polynomial. Another aspect of the present invention reduces the number of combinations (of orders for sub-polynomials forming the polynomials) to be tried in determining polynomials, meeting various accuracy requirements. Such a reduction is obtained based on a recognition that when the order in one dimension alone is increased and the result does not lead to acceptable accuracy of the polynomial, the combinations with a lesser number for the order (of the dimension) can be ruled out.