[Table of Contents]

Plasma and Fusion Research

Volume 2, S1015 (2007)

Regular Articles


Ionospheric Tomography by Neural Network Collocation Method
Tatsuoki TAKEDA and XiaoFeng MA1)
The University of Electro-Communications, Chofu 182-8585, Japan
1)
Xilisoft Corporation, Haiden District, Beijing 100080, China
(Received 2 December 2006 / Accepted 19 July 2007 / Published 20 November 2007)

Abstract

We describe a neural network collocation method (NNCM) for tomographic image reconstruction with small amount of projection data, which has been successfully applied to the three-dimensional ionospheric tomography based on the dataset of signal delays from the GPS satellites. In NNCM the neural network is trained by minimizing an object function composed of squared residuals of the governing equations evaluated at the collocation points and some constraining conditions imposed usually by observation data. This method is applied not only to the computerized tomography but also to the analyses of various inverse problems such as the data assimilation, the parameter estimation, the time series prediction, and so on.


Keywords

ionospheric tomography, multilayer neural network, neural network collocation method, residual minimization training

DOI: 10.1585/pfr.2.S1015


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This paper may be cited as follows:

Tatsuoki TAKEDA and XiaoFeng MA, Plasma Fusion Res. 2, S1015 (2007).