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
fDate :
4/1/1994 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
