Propagation and control of stochastic signals through universal learning networks

Kotaro Hirasawa, Shingo Mabu, Takayuki Furuzuki

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The way of propagating and control of stochastic signals through Universal Learning Networks (ULNs) and its applications are proposed. ULNs have been already developed to form a superset of neural networks and have been applied as a universal framework for modeling and control of non-linear large-scale complex systems. However, the ULNs cannot deal with stochastic variables. Deterministic signals can be propagated through a ULN, but the ULN does not provide any stochastic characteristics of the signals propagating through it. The proposed method named Probabilistic Universal Learning Networks (PrULNs) can process stochastic variables and can train network parameters so that the signals behave with the pre-specified stochastic properties. As examples of applications of the proposed method, control and identification of non-linear dynamic systems with noises are studied, and it is shown that the method are useful for dealing with the control and identification of the non-linear stochastic systems contaminated with noises.

Original languageEnglish
Pages (from-to)487-499
Number of pages13
JournalNeural Networks
Volume19
Issue number4
DOIs
Publication statusPublished - 2006 May

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Learning
Noise
Stochastic systems
Random processes
Stochastic Processes
Large scale systems
Dynamical systems
Nonlinear Dynamics
Neural networks

Keywords

  • Forward propagation
  • Gradient method
  • Neural networks
  • Non-linear systems
  • Probabilistic networks
  • Stochastic signals

ASJC Scopus subject areas

  • Artificial Intelligence
  • Neuroscience(all)

Cite this

Propagation and control of stochastic signals through universal learning networks. / Hirasawa, Kotaro; Mabu, Shingo; Furuzuki, Takayuki.

In: Neural Networks, Vol. 19, No. 4, 05.2006, p. 487-499.

Research output: Contribution to journalArticle

Hirasawa, Kotaro ; Mabu, Shingo ; Furuzuki, Takayuki. / Propagation and control of stochastic signals through universal learning networks. In: Neural Networks. 2006 ; Vol. 19, No. 4. pp. 487-499.
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