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Information Theory Meets Power Laws - Stochastic Processes and Language Models (Hardcover)
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Information Theory Meets Power Laws - Stochastic Processes and Language Models (Hardcover)
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Discover new theoretical connections between stochastic phenomena
and the structure of natural language with this powerful volume!
Information Theory Meets Power Laws: Stochastic Processes and
Language Models presents readers with a novel subtype of a
probabilistic approach to language, which is based on statistical
laws of texts and their analysis by means of information theory.
The distinguished author insightfully and rigorously examines the
linguistic and mathematical subject matter while eschewing
needlessly abstract and superfluous constructions. The book begins
with a less formal treatment of its subjects in the first chapter,
introducing its concepts to readers without mathematical training
and allowing those unfamiliar with linguistics to learn the book's
motivations. Despite its inherent complexity, Information Theory
Meets Power Laws: Stochastic Processes and Language Models is a
surprisingly approachable treatment of idealized mathematical
models of human language. The author succeeds in developing some of
the theory underlying fundamental stochastic and semantic
phenomena, like strong nonergodicity, in a way that has not
previously been seriously attempted. In doing so, he covers topics
including: Zipf's and Herdan's laws for natural language Power laws
for information, repetitions, and correlations Markov,
finite-state, and Santa Fe processes Bayesian and frequentist
interpretations of probability Ergodic decomposition, Kolmogorov
complexity, and universal coding Theorems about facts and words
Information measures for fields Renyi entropies, recurrence times,
and subword complexity Asymptotically mean stationary processes
Written primarily for mathematics graduate students and
professionals interested in information theory or discrete
stochastic processes, Information Theory Meets Power Laws:
Stochastic Processes and Language Models also belongs on the
bookshelves of doctoral students and researchers in artificial
intelligence, computational and quantitative linguistics as well as
physics of complex systems.
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