DocumentCode
1087850
Title
A generalization of canonical piecewise-linear functions
Author
Lin, Ji-Nan ; Xu, Hong-Qing ; Unbehauen, Rolf
Author_Institution
Lehrstuhl fur Allgemeine und Theor. Elektrotech., Erlangen-Nurnberg Univ., Germany
Volume
41
Issue
4
fYear
1994
fDate
4/1/1994 12:00:00 AM
Firstpage
345
Lastpage
347
Abstract
This letter proves the availability of the so-called high-level canonical representation, which is a generalization of the useful canonical representation, in the set of all continuous piecewise-linear (PWL) functions. The result is of interest in connection with research and applications where PWL functions are involved, e.g., about neural networks
Keywords
functional analysis; neural nets; piecewise-linear techniques; splines (mathematics); PWL functions; canonical piecewise-linear functions; continuous piecewise-linear functions; high-level canonical representation; neural networks; splines; Circuits; Jacobian matrices; Neural networks; Piecewise linear techniques; Proposals; Region 4; Vectors;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.285696
Filename
285696
Link To Document