A Way of Constructing Approximate Interpolating Neural Networks

ding lei; sheng baohuai

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A Way of Constructing Approximate Interpolating Neural Networks

ding lei 1 *,sheng baohuai 2

1.Mathematics Department of Ningbo University

2.Mathematics Department of Shaoxing University

*Correspondence author

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Funding: none

Opened online: 5 December 2008

Accepted by: none

Citation: ding lei,sheng baohuai.A Way of Constructing Approximate Interpolating Neural Networks[OL]. [ 5 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26338

In this paper, we present a type of single-hidden layer feedforward neural networks with thin-plate spline activation function. We find they can approximately interpolate, with arbitrary precision, any set of distinct data in one dimensions or multidimensional. They can uniformly approximate the continuous function of one variable as well as several variables.

Keywords:Neural networks;Thin-plate spline;Approximate interpolation;Uniform

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