A canonical representation of high-dimensional continuous piecewise-linear functions

被引:3
作者
Li, XY [1 ]
Wang, SN [1 ]
Yin, WJ [1 ]
机构
[1] Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2001年 / 48卷 / 11期
关键词
canonical representation; iterative method; piecewise linear;
D O I
10.1109/81.964426
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A canonical representation of high-dimensional continuous piecewise-linear (PWL) functions has not been perfectly solved till now. In this brief, a constructive model of high-dimensional continuous PWL functions is proposed by using an iterative method and it is proved that the model can represent all high-dimensional continuous PWL functions.
引用
收藏
页码:1347 / 1351
页数:5
相关论文
共 6 条
[1]   HINGING HYPERPLANES FOR REGRESSION, CLASSIFICATION, AND FUNCTION APPROXIMATION [J].
BREIMAN, L .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (03) :999-1013
[2]   A CANONICAL REPRESENTATION FOR PIECEWISE-AFFINE MAPS AND ITS APPLICATIONS TO CIRCUIT ANALYSIS [J].
GUZELIS, C ;
GOKNAR, IC .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (11) :1342-1354
[3]   A GENERALIZED CANONICAL PIECEWISE-LINEAR REPRESENTATION [J].
KAHLERT, C ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (03) :373-383
[4]   GLOBAL REPRESENTATION OF MULTIDIMENSIONAL PIECEWISE-LINEAR FUNCTIONS WITH LINEAR PARTITIONS [J].
KANG, SM ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (11) :938-940
[5]   A GENERALIZATION OF CANONICAL PIECEWISE-LINEAR FUNCTIONS [J].
LIN, JN ;
XU, HQ ;
UNBEHAUEN, R .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (04) :345-347
[6]   CANONICAL PIECEWISE-LINEAR APPROXIMATIONS [J].
LIN, JN ;
UNBEHAUEN, R .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (08) :697-699