Mapping some functions and four arithmetic operations to multilayer feedforward neural networks

Jin-Song Pei; Eric C. Mai; Joseph P. Wright

doi:10.1117/12.784993

21 April 2008 Mapping some functions and four arithmetic operations to multilayer feedforward neural networks

Jin-Song Pei, Eric C. Mai, Joseph P. Wright

Proceedings Volume 6935, Health Monitoring of Structural and Biological Systems 2008; 693512 (2008) https://doi.org/10.1117/12.784993
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2008, San Diego, California, United States

Abstract

This paper continues the development of a heuristic initialization methodology for designing multilayer feedforward neural networks aimed at modeling nonlinear functions for engineering mechanics applications as presented previously at SPIE 2003, and 2005 to 2007. Seeking a transparent and domain knowledge-based approach for neural network initialization and result interpretation, the authors examine the efficiency of linear sums of sigmoidal functions while offering constructive methods to approximate functions in engineering mechanics applications. This study provides details and results of mapping the four arithmetic operations (summation, subtraction, multiplication, division) as well as other functions including reciprocal, Gaussian and Mexican hat functions into multilayer feedforward neural networks with one hidden layer. The approximation and training examples demonstrate the efficiency and accuracy of the proposed mapping techniques and details. Future work is also identified. This effort directly contributes to the further extension of the proposed initialization procedure in that it opens the door for the approximation of a wider range of nonlinear functions.

Citation Download Citation

Jin-Song Pei, Eric C. Mai, and Joseph P. Wright "Mapping some functions and four arithmetic operations to multilayer feedforward neural networks", Proc. SPIE 6935, Health Monitoring of Structural and Biological Systems 2008, 693512 (21 April 2008); https://doi.org/10.1117/12.784993

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available