Stochastic simple recurrent neural networks

Mostefa Golea, Masahiro Matsuoka, Yasubumi Sakakibara

研究成果: Conference contribution

抄録

Simple recurrent neural networks (SRNs) have been advocated as an alternative to traditional probabilistic models for grammatical inference and language modeling. However, unlike hidden Markov Models and stochastic grammars, SRNs are not formulated explicitly as probability models, in that they do not provide their predictions in the form of a probability distribution over the alphabet. In this paper, we introduce a stochastic variant of the SRN. This new variant makes explicit the functional description of how the SRN solution reflects the target structure generating the training sequence. We explore the links between the stochastic version of SRNs and traditional grammatical inference models. We show that the stochastic single-layer SRN can be seen as a generalized hidden Markov model or a probabilistic automaton. The two-layer stochastic SRN can be interpreted as a probabilistic machine whose state-transitions are triggered by inputs producing outputs, that is, a probabilistic finite-state sequential transducer. It can also be thought of as a hidden Markov model with two alphabets, each with its own distinct output distribution. We provide efficient procedures based on the forward-backward approach, used in the context of hidden Markov models, to evaluate the various probabilities occurring in the model. We derive a gradient-based algorithm for finding the parameters of the network that maximize the likelihood of the training sequences. Finally, we show that if the target structure generating the training sequences is unifilar, then the trained stochastic SRN behaves deterministically.

本文言語English
ホスト出版物のタイトルGrammatical Inference
ホスト出版物のサブタイトルLearning Syntax from Sentences - 3rd International Colloquium, ICGI-1996, Proceedings
編集者Colin de la Higuera, Laurent Miclet
出版社Springer Verlag
ページ262-273
ページ数12
ISBN(印刷版)3540617787, 9783540617785
DOI
出版ステータスPublished - 1996
外部発表はい
イベント3rd International Colloquium on Grammatical Inference, ICGI 1996 - Montpellier, France
継続期間: 1996 9月 251996 9月 27

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
1147
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other3rd International Colloquium on Grammatical Inference, ICGI 1996
国/地域France
CityMontpellier
Period96/9/2596/9/27

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータサイエンス一般

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