Interpretability of Hinging Hyperplanes

  • Tamás KeneseiEmail author
  • János Abonyi
Part of the SpringerBriefs in Computer Science book series (BRIEFSCOMPUTER)


The hinging hyperplane model was proposed by Breiman [20]. 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 [18]; alternatively, the Gauss-Newton algorithm can be used to obtain the final nonlinear model [34]. 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 [36], and this model also lends itself to forming hierarchical models [19].


Regression Tree Model Predictive Control Membership Degree Quadratic Cost Function Hammerstein Model 
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© The Author(s) 2015

Authors and Affiliations

  1. 1.Department of Process EngineeringUniversity of PannoniaVeszprémHungary

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