Learning dynamics of neural networks with singularity - Standard gradient vs. natural gradient

Hyeyoung Park, Masato Inoue, Masato Okada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In hierarchical models, such as neural networks, there exist complex singular structures. The singularity is known to affect estimation performances and learning dynamics of the models. Recently, there have been a number of studies on properties of obtained estimators for the models, but there are few studies on the dynamical properties of learning used for obtaining the estimators. Using two-layer neural networks, we investigate influences of singularities on dynamics of standard gradient learning and natural gradient learning under various learning conditions. In the standard gradient learning, we found a quasi-plateau phenomenon, which is severer than the well known plateau in some cases. The slow convergence due to the quasi-plateau and plateau becomes extremely serious when an optimal point is in a neighborhood of a singularity. In the natural gradient learning, however, the quasi-plateau and plateau are not observed and convergence speed is hardly affected by singularity.

Original languageEnglish
Title of host publicationLecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science)
EditorsC. Zhang, H.W. Guesgen, W.K. Yeap
Pages282-291
Number of pages10
Volume3157
Publication statusPublished - 2004
Externally publishedYes
Event8th Pacific Rim International Conference on Artificial Intelligence, PRICAI 2004: Trends in Artificial Intelligence - Auckland, New Zealand
Duration: 2004 Aug 92004 Aug 13

Other

Other8th Pacific Rim International Conference on Artificial Intelligence, PRICAI 2004: Trends in Artificial Intelligence
CountryNew Zealand
CityAuckland
Period04/8/904/8/13

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ASJC Scopus subject areas

  • Hardware and Architecture

Cite this

Park, H., Inoue, M., & Okada, M. (2004). Learning dynamics of neural networks with singularity - Standard gradient vs. natural gradient. In C. Zhang, H. W. Guesgen, & W. K. Yeap (Eds.), Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 3157, pp. 282-291)