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Nonlinear curve fitting to stopping power data using RBF neural networks

journal contribution
posted on 06.12.2017, 00:00 by Minmei LiMinmei Li, Brijesh VermaBrijesh Verma
This paper presents a novel approach for fitting experimental stopping power data to a simple empirical formula. The unknown complex nonlinear stopping power function is approximated by a Radial Basis Function (RBF) neural network with an additional linear neuron. The fitting coefficients are determined by learning algorithms globally. The experiments using the proposed method have been conducted on a benchmark dataset (titanium heat) and a set of stopping power data with implicit noise (MeV projectiles of Li, B, C, O, Al, Si, Ar, Ti and Fe in elemental carbon materials) from high energy physics measurements. The results not only showed the effectiveness of our method but also showed the significant improvement of fitting accuracy over other methods, without increasing computational complexity. The proposed approach allows us to obtain a fast and accurate interpolant that well suits to the situations where no stopping power data exist. It can be used as a standalone method or implemented as a sub-system that can be efficiently embedded in an intelligent system for ion beam analysis techniques.

History

Volume

45

Start Page

161

End Page

171

Number of Pages

11

eISSN

1873-6793

ISSN

0957-4174

Location

USA

Publisher

Elsevier

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Centre for Intelligent Systems (2015- ); School of Engineering and Technology (2013- );

Author Research Institute

Centre for Intelligent Systems

Era Eligible

Yes

Journal

Expert systems with applications.

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