Mathematics in Mind
cover

Statistical Universals of Language

Mathematical Chance vs. Human Choice

Authors: Tanaka-Ishii, Kumiko

  • Covers the universal mathematical properties of natural language from Zipf's law to the present
  • Explains how the properties show the essential limitation of language models in natural language processing
  • Speculates on how the properties relate to linguistic grammar, word formation, and meaning
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Buy this book

eBook 76,99 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: April 8, 2021
  • ISBN 978-3-030-59377-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 93,59 €
price for Spain (gross)
  • Due: April 8, 2021
  • ISBN 978-3-030-59376-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic universals that contribute to describing the variation of human languages, and they can only be identified over a large accumulation of usages. The book provides an overview of state-of-the art findings on these statistical universals and reconsiders the nature of language accordingly, with Zipf's law as a well-known example.
The main focus of the book further lies in explaining the property of long memory, which was discovered and studied more recently by borrowing concepts from complex systems theory. The statistical universals not only possibly lie as the precursor of language system formation, but they also highlight the qualities of language that remain weak points in today's machine learning.
In summary, this book provides an overview of language's global properties. It will be of interest to anyone engaged in fields related to language and computing or statistical analysis methods, with an emphasis on researchers and students in computational linguistics and natural language processing. While the book does apply mathematical concepts, all possible effort has been made to speak to a non-mathematical audience as well by communicating mathematical content intuitively, with concise examples taken from real texts.

             

Buy this book

eBook 76,99 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: April 8, 2021
  • ISBN 978-3-030-59377-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 93,59 €
price for Spain (gross)
  • Due: April 8, 2021
  • ISBN 978-3-030-59376-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Statistical Universals of Language
Book Subtitle
Mathematical Chance vs. Human Choice
Authors
Series Title
Mathematics in Mind
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-030-59377-3
DOI
10.1007/978-3-030-59377-3
Hardcover ISBN
978-3-030-59376-6
Series ISSN
2522-5405
Edition Number
1
Number of Pages
VIII, 232
Number of Illustrations
52 b/w illustrations, 100 illustrations in colour
Topics