Statistical Universals of Language

Mathematical Chance vs. Human Choice

Inbunden, Engelska, 2021

Av Kumiko Tanaka-Ishii

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This book 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.

Produktinformation

Utgivningsdatum2021-04-02
Mått155 x 235 x 20 mm
Vikt547 g
FormatInbunden
SpråkEngelska
SerieMathematics in Mind
Antal sidor236
Upplaga21001
FörlagSpringer Nature Switzerland AG
ISBN9783030593766

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Tillämpad matematik inom Naturvetenskap och teknik

I. Preface.- 1. Introduction.- 2. Universals.- 3. Language as a Complex System.- II. Property of Population.- 4. Relation Between Rank and Frequency.- 5. Bias in Rank-Frequency Relation.- 6. Related Statistical Universals.- III. Property of Sequence.- 7. Returns.- 8. Long-Range Correlation.- 9. Fluctuation.- 10. Complexity.- IV. Relation to Linguistic Elements and Structure.- 11. Articulation of Elements.- 12. Word Meaning and Value.- 13. Size and Frequency.- 14. Grammatical Structure and Long Memory.- V. Mathematical Model.- 15. Theories Behind Zipf's Law.- 16. Mathematical Generative Models.- 17. Language Models.- VI. Ending Remarks.- 18. Conclusion.- VII. Appendix.- 19. Glossary and Notations.- 20. Mathematical Details.- 21. Data.- References.- Index.

“The chapters and the parts are intelligently curated and well-thought-out to give the subject matter a free-flowing and coherent structure. … The book has a lot of exciting discussions on offer. … the book has a lot to learn from. … The book is unique in the sense that language is presented … . The book provides excellent food for thought. … the book is worth every single second that a reader would be spending on reading it … .” (Firdous Ahmad Mala, risingkashmir.com, January 25, 2022)