Interpretability of hinging hyperplanes

Tamás Kenesei, J. Abonyi

Research output: Chapter

Abstract

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].

Original languageEnglish
Title of host publicationSpringerBriefs in Computer Science
PublisherSpringer
Pages9-32
Number of pages24
Edition9783319219417
DOIs
Publication statusPublished - jan. 1 2015

Publication series

NameSpringerBriefs in Computer Science
Number9783319219417
ISSN (Print)2191-5768
ISSN (Electronic)2191-5776

ASJC Scopus subject areas

  • Computer Science(all)

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    Kenesei, T., & Abonyi, J. (2015). Interpretability of hinging hyperplanes. In SpringerBriefs in Computer Science (9783319219417 ed., pp. 9-32). (SpringerBriefs in Computer Science; No. 9783319219417). Springer. https://doi.org/10.1007/978-3-319-21942-4_2