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Univariate relu neural network and its application in nonlinear system identification

  • Xinglong Liang
  • , Jun Xu*
  • *Corresponding author for this work
  • Harbin Institute of Technology Shenzhen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

ReLU (rectified linear units) neural network has received significant attention since its emergence. In this paper, a univariate ReLU (UReLU) neural network is proposed to both model the nonlinear dynamic system and reveal the insights about the system. Specifically, the neural network consists of neurons with linear and UReLU activation functions, and the UReLU functions are defined as the ReLU functions respect to each dimension. The UReLU neural network is a single hidden layer neural network, and the structure is relatively simple. The initialization of the neural network employs the decoupling method, which provides a good initialization and some insight into the nonlinear system. Compared with normal ReLU neural network, the number of parameters of UReLU network is less, but it still provide a good approximation of the nonlinear dynamic system. The performance of the UReLU neural network is shown through a Hysteretic benchmark system: the BoucWen system. Simulation results verify the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings of 2020 Chinese Intelligent Systems Conference - Volume I
EditorsYingmin Jia, Weicun Zhang, Yongling Fu
PublisherSpringer Science and Business Media Deutschland GmbH
Pages679-687
Number of pages9
ISBN (Print)9789811584497
DOIs
StatePublished - 2021
Externally publishedYes
EventChinese Intelligent Systems Conference, CISC 2020 - Shenzhen, China
Duration: 24 Oct 202025 Oct 2020

Publication series

NameLecture Notes in Electrical Engineering
Volume705 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

ConferenceChinese Intelligent Systems Conference, CISC 2020
Country/TerritoryChina
CityShenzhen
Period24/10/2025/10/20

Keywords

  • Decoupling method
  • Identification
  • Neural network
  • Univariate ReLU function

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