Earticle

초록

영어

In this paper, we argue that total three desirable properties should be satisfied so that a function to be learned or interpolated from a set of input-output examples can cross all the given examples with minimal oscillations among the examples. As long as the number of given examples exceeds the dimension of example and meanwhile none existing hyper-plane, in real vector space of example’s dimension, passes through all the given examples exactly, we can construct one simple function learning solution, which is expressed as a sum of two terms: one is an example-influence term that consists of the outputs of a number of basis functions and another is a linear term, to allow all the three desirable properties to be satisfied exactly. Experiments show that the solution can simulate both continuous and discontinuous functions even with very sparse given examples.

목차

Abstract
 1. Introduction
 2. Desirable Properties in Function Learning
  2.1. Problem Statement
  2.2. Desirable Properties of Function Learning
 3. A Simple Solution of Learning Function by EBI Mechanism
  3.1. EBI with Basis Function and Polynomial
  3.2. Simple Solution to EBI: Simplifying Polynomial Term to Linear Form
  3.3. Satisfaction of Desirable Properties in the Least-Squares-Error Solution
 4. Experiments of Learning Nonlinear Function
  4.1. Selection of Basis Function
  4.2. Experimental Results
 5. Conclusions
 Acknowledgements
 References

키워드

저자

• Bodong Liang [ School of Automotive and Transportation Engineering Shenzhen Polytechnic Shenzhen 518055, China ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Control and Automation

• 간기

  월간

• pISSN

  2005-4297

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605