Statistical Universals of Language

Mathematical Chance vs. Human Choice

AvKumiko Tanaka-Ishii

Inbunden, Engelska, 2021

Del i serien Mathematics in Mind

956 kr

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Häftad

693 kr

Beskrivning

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

Utgivningsdatum:2021-04-02
Mått:155 x 235 x 20 mm
Vikt:547 g
Format:Inbunden
Språk:Engelska
Serie:Mathematics in Mind
Antal sidor:236
Upplaga:21001
Förlag:Springer Nature Switzerland AG
ISBN:9783030593766

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Recensioner i media

“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)

Innehållsförteckning

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.