Mathematical Linguistics

Andras Kornai

E-Book (pdf), 290 Seiten

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Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematic...

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Beschreibung

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.
Inhalt
Preface.- Introduction.- The subject matter.- Cumulative knowledge.- Definitions.- Formalization.- Foundations.- Mesoscopy.- Further reading.- The Elements.- Generation.- Axioms, rules and constraints.- String rewriting.- Further reading.- Phonology.- Phonemes.- Natural classes and distinctive features.- Suprasegmentals and autosegments.- Phonological computation.- Further reading.- Morphology.- The prosodic hierarchy.- Word formation.- Optimality.- Zipf's Law.- Further reading.- Syntax.- Combinatorical theories.- Grammatical theories.- Semantics-driven theories.- Weighted theories.- The regular domain.- External evidence.- Further reading.- Semantics.- The explanatory burden of semantics.- The standard theory.- Grammatical semantics.- Further reading.- Complexity.- Information.- Kolmogorov complexity.- Learning.- Further reading.- Linguistic Pattern Recognition.- Quantization.- Markov processes, Hidden Markov models.- High-level signal processing.- Document classification.- Further reading.- Speech and Handwriting.- Low-level speech processing.- Phonemes as hidden units.- Handwriting and machine print.- Further reading.- Simplicity.- Previous reading.- Bibliography.- Index