Title
Nonlinear regression with piecewise affine models based on RBFN
Abstract
In this paper, a modeling method of high dimensional piecewise affine models is proposed. Because the model interpolates the outputs at the orthogonal grid points in the input space, the shape of the piecewise affine model is easily understood. The interpolation is realized by a RBFN, whose function is defined with max-min functions. By increasing the number of RBFs, the capability to express nonlinearity can be improved. In this paper, an algorithm to determine the number and locations of RBFs is proposed.
Year
DOI
Venue
2005
10.1007/11550907_14
ICANN (2)
Keywords
Field
DocType
orthogonal grid point,input space,nonlinear regression,max-min function,piecewise affine model,high dimensional piecewise affine,modeling method
Affine transformation,Applied mathematics,Affine shape adaptation,Radial basis function network,Computer science,Interpolation,Artificial intelligence,Hyperplane,Piecewise linear function,Piecewise,Mathematical optimization,Pattern recognition,Affine combination
Conference
Volume
ISSN
ISBN
3697
0302-9743
3-540-28755-8
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Masaru Sakamoto121.45
Dong Duo200.34
Yoshihiro Hashimoto3153.49
Toshiaki Itoh493.45