The Time Complexity Analysis for a Kind of Neural Network with Rational Spline Functions

DOI

10.2991/itms-15.2015.435How to use a DOI?

Keywords

Neural Network; Rational Spline Function; Weight Function; Time Complexity

Abstract

Based on the results of weight function neural networks, the time complexity for a kind of neural network with rational spline functions is analyzed. We derive the complexity results by interpolation theories and algorithms. We find a linear relationship between the time complexity and the number of patterns. We also conclude that the time complexity is proportional to the input and output dimensions of the neural network. It shows that the results proposed in this paper have many potential applications.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Daiyuan Zhang
AU  - Hongyan Bao
PY  - 2015/11
DA  - 2015/11
TI  - The Time Complexity Analysis for a Kind of Neural Network with Rational Spline Functions
BT  - Proceedings of the 2015 International Conference on Industrial Technology and Management Science
PB  - Atlantis Press
SP  - 1784
EP  - 1787
SN  - 2352-538X
UR  - https://doi.org/10.2991/itms-15.2015.435
DO  - 10.2991/itms-15.2015.435
ID  - Zhang2015/11
ER  -