Projectional Learning Laws for Differential Neural Networks Based on Double-Averaged Sub-Gradient Descent Technique

Isaac Chairez, Alexander Poznyak, Alexander Nazin, Tatyana Poznyak

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

Abstract

A new method to design learning laws for neural networks with continuous dynamics is proposed in this study. The learning method is based on the so-called double-averaged descendant technique (DASGDT), which is a variant of the gradient-descendant method. The learning law implements a double averaged algorithm which filters the effect of uncertainties of the states, which are continuously measurable. The learning law overcomes the classical assumption on the strict convexity of the functional with respect to the weights. The photocatalytic ozonation process of a single contaminant is estimated using the learning law design proposed in this study.

Original languageEnglish
Title of host publicationAdvances in Neural Networks – ISNN 2019 - 16th International Symposium on Neural Networks, ISNN 2019, Proceedings
EditorsHuchuan Lu, Huajin Tang, Zhanshan Wang
PublisherSpringer Verlag
Pages28-38
Number of pages11
ISBN (Print)9783030227951
DOIs
StatePublished - 2019
Event16th International Symposium on Neural Networks, ISNN 2019 - Moscow, Russian Federation
Duration: 10 Jul 201912 Jul 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11554 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th International Symposium on Neural Networks, ISNN 2019
Country/TerritoryRussian Federation
CityMoscow
Period10/07/1912/07/19

Keywords

  • Differential neural networks
  • Double-averaged subgradient
  • Optimization
  • Ozonation processes
  • Projection

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