TY - GEN
T1 - Adaptive hinging hyperplanes
AU - Xu, Jun
AU - Huang, Xiaolin
AU - Wang, Shuning
PY - 2008
Y1 - 2008
N2 - The model of adaptive hinging hyperplanes (AHH) is proposed in this paper for black-box modeling. It is based on Multivariate Adaptive Regression Splines (MARS) and Generalized Hinging Hyperplanes (GHH) and shares attractive properties of the two. By making a modification to the basis function of MARS, AHH shows linear property in each subarea. It is proved that AHH model is identical to a special case of the Generalized Hinging Hyperplanes (GHH) model, which has a universal representation capability for continuous piecewise linear functions. AHH algorithm is developed similar to MARS algorithm. It is adaptive and can be executed quickly, hence has power and flexibility to model unknown relationships. In addition, due to the piecewise-linear property, AHH is preferred to MARS when modeling high-dimensional dynamic systems, especially when the sample size is small and under noise conditions.
AB - The model of adaptive hinging hyperplanes (AHH) is proposed in this paper for black-box modeling. It is based on Multivariate Adaptive Regression Splines (MARS) and Generalized Hinging Hyperplanes (GHH) and shares attractive properties of the two. By making a modification to the basis function of MARS, AHH shows linear property in each subarea. It is proved that AHH model is identical to a special case of the Generalized Hinging Hyperplanes (GHH) model, which has a universal representation capability for continuous piecewise linear functions. AHH algorithm is developed similar to MARS algorithm. It is adaptive and can be executed quickly, hence has power and flexibility to model unknown relationships. In addition, due to the piecewise-linear property, AHH is preferred to MARS when modeling high-dimensional dynamic systems, especially when the sample size is small and under noise conditions.
KW - Nonlinear system identification
UR - https://www.scopus.com/pages/publications/79961018320
U2 - 10.3182/20080706-5-KR-1001.1945
DO - 10.3182/20080706-5-KR-1001.1945
M3 - 会议稿件
AN - SCOPUS:79961018320
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -