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The Informational Complexity of Learning : Perspectives on Neural Networks and Generative Grammar - Partha Niyogi

The Informational Complexity of Learning

Perspectives on Neural Networks and Generative Grammar

Hardcover Published: 30th November 1997
ISBN: 9780792380818
Number Of Pages: 224

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Among other topics, The Informational Complexity of Learning: Perspectives on Neural Networks and Generative Grammar brings together two important but very different learning problems within the same analytical framework. The first concerns the problem of learning functional mappings using neural networks, followed by learning natural language grammars in the principles and parameters tradition of Chomsky.
These two learning problems are seemingly very different. Neural networks are real-valued, infinite-dimensional, continuous mappings. On the other hand, grammars are boolean-valued, finite-dimensional, discrete (symbolic) mappings. Furthermore the research communities that work in the two areas almost never overlap.
The book's objective is to bridge this gap. It uses the formal techniques developed in statistical learning theory and theoretical computer science over the last decade to analyze both kinds of learning problems. By asking the same question - how much information does it take to learn? - of both problems, it highlights their similarities and differences. Specific results include model selection in neural networks, active learning, language learning and evolutionary models of language change.
The Informational Complexity of Learning: Perspectives on Neural Networks and Generative Grammar is a very interdisciplinary work. Anyone interested in the interaction of computer science and cognitive science should enjoy the book. Researchers in artificial intelligence, neural networks, linguistics, theoretical computer science, and statistics will find it particularly relevant.

List of Figures
Foreword
Preface
Acknowledgments
Introductionp. 1
Generalization Error for Neural Netsp. 21
Active Learningp. 75
Language Learningp. 125
Language Changep. 173
Conclusionsp. 207
Referencesp. 213
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792380818
ISBN-10: 0792380819
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 224
Published: 30th November 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.7
Weight (kg): 1.18