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Mathematical Models for Speech Technology

  • ID: 2174263
  • Book
  • 282 Pages
  • John Wiley and Sons Ltd
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Humans use language to convey meaningful messages to each other. Linguistic competence consists in the ability to express meaning reliably, not simply to obtain faithful lexical transcriptions. This invaluable reference tool is the product of many years′ experience and research on language and speech technology. It presents the motivations for, intuitions behind and basic mathematical models of natural spoken language communication. From a preliminary discussion on the physics of speech production and the taxonomy of linguistic structure, there is a natural progression taking in issues of grammatical inference, automatic speech recognition and constructive theories of language. The author counterbalances theoretical explanations and illustrations with questions of a more philosophical nature designed to highlight the seemingly limitless future potential of speech technology.
  • Emphasizes the physics of speech production in an argument underpinned by mathematical models of linguistic structure.
  • Collates the formalisms and perspectives used by linguists and engineers and examines established theories, including the Markov process, the Chomsky hierarchy, the Miller–Nicely experiments and Baum and Baker s experiments.
  • Contains strong sections on the current status and evolution of Artificial Intelligence, the problem of consciousness and future prospects for a science of the mind.
  • Illustrates all points throughout using detailed real world examples.
This comprehensive resource will appeal to researchers and practitioners in the fields of mathematical linguistics and speech technology as well as those in the related disciplines of psychology, artificial intelligence, automata theory, information theory and philosophy.
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Author′s preface.



2.1  The physics of speech production

2.2  The source–filter model

2.3  Information–bearing features of the speech signal

2.4  Time–frequency representations

2.5  Classifications of acoustic patterns in speech

2.6  Temporal invariance and stationarity

2.7  Taxonomy of linguistic structure

Mathematical models of linguistic structure

3.1  Probabilistic functions of a discrete Markov process

3.2  Formal grammars and abstract automata

Syntactic analysis

4.1  Deterministic parsing algorithms

4.2  Probabilistic parsing algorithms

4.3  Parsing natural language

Grammatical inference

5.1  Exact inference and Gold′s theorem

5.2  Baum′s algorithm for regular grammars

5.3  Event counting in parse trees

5.4  Baker′s algorithm for context–free grammars

Information–theoretic analysis of speech communication

6.1  The Miller et al. experiments

6.2  Entropy of an information source

6.3  Recognition error rates and entropy

Automatic speech recognition and constructive theories of language

7.1  Integrated architectures

7.2  Modular architectures

7.3  Parameter estimation from fluent speech

7.4  System performance

7.5  Other speech technologies

Automatic speech understanding and semantics

8.1  Transcription and comprehension

8.2  Limited domain semantics

8.3  The semantics of natural language

8.4 System architectures

8.5  Human and machine performance

Theories of mind and language

9.1  The challenge of automatic natural language understanding

9.2  Metaphors for mind

9.3  The artificial intelligence program

10  A speculation on the prospects for a science of the mind

10.1  The parable of the thermos bottle: measurements and symbols

10.2  The four questions of science

10.3  A constructive theory of the mind

10.4  The problem of consciousness

10.5  The role of sensorimotor function, associative memory and reinforcement learning in automatic acquisition of spoken language by an autonomous robot

10.6  Final thoughts: predicting the course of discovery

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Stephen Levinson
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