Interpretability of Hinging Hyperplanes
The hinging hyperplane model was proposed by Breiman . This type of nonlinear model is often referenced in the literature since it suffers from convergency and range problems [19, 33–35]. Methods such as a penalty of the hinging angle were proposed to improve Breiman’s algorithm ; alternatively, the Gauss-Newton algorithm can be used to obtain the final nonlinear model . Several application examples have also been published in the literature; e.g., it can be used in the identification of piecewise affine systems via mixed-integer programming , and this model also lends itself to forming hierarchical models .