Multiwavelet Neural Networks and Their Approximation Properties

PAN Jin; JIAO Li-cheng

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Multiwavelet Neural Networks and Their Approximation Properties

更新时间：2025-07-16

- Multiwavelet Neural Networks and Their Approximation Properties
- Acta Electronica Sinica Vol. 28, Issue 10, Pages: 60-64(2000)
- 作者机构：
  
  1. 西安电子科技大学雷达信号处理国家重点实验室,西安,710071
  2. 西安通信学院,西安,710106
  3. 西安电子科技大学雷达信号处理国家重点实验室西安,710071
  4. 西安通信学院西安,710106
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2000
- 稿件说明：
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PAN Jin, JIAO Li-cheng. Multiwavelet Neural Networks and Their Approximation Properties[J]. Acta Electronica Sinica, 2000, 28(10): 60-64.
DOI：

PAN Jin, JIAO Li-cheng. Multiwavelet Neural Networks and Their Approximation Properties[J]. Acta Electronica Sinica, 2000, 28(10): 60-64. DOI：

摘要

本文提出了多子波神经网络的概念和模型

证明了其泛逼近性、L

逼近性和相容性

并给出了相应的收敛速度估计.理论分析和实验结果表明

多子波网络的逼近性能明显优于单子波网络.类似的结果在国内外还未见报导.

Abstract

The concept and the model of the multiwavelet neural network are proposed.Its universal and

approximation properties as well as its consistency are proved

and the convergence rates associated with these properties are given.Theoretical analyses and the experimental results show that multiwavelet networks can have obvious advantages in approximation performance over simple wavelet networks

and similar works have not been seen at home and abroad.

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