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001435677 001__ 1435677
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001435677 019__ $$a1244805320
001435677 020__ $$a9783030593773$$q(electronic bk.)
001435677 020__ $$a3030593770$$q(electronic bk.)
001435677 020__ $$z9783030593766
001435677 020__ $$z3030593762
001435677 0247_ $$a10.1007/978-3-030-59377-3$$2doi
001435677 035__ $$aSP(OCoLC)1245672569
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001435677 049__ $$aISEA
001435677 050_4 $$aP138
001435677 08204 $$a410.1/51$$223
001435677 1001_ $$aTanaka-Ishii, Kumiko.
001435677 24510 $$aStatistical universals of language :$$bmathematical chance vs. human choice /$$cKumiko Tanaka-Ishii.
001435677 260__ $$aCham :$$bSpringer,$$c2021.
001435677 300__ $$a1 online resource (226 pages)
001435677 336__ $$atext$$btxt$$2rdacontent
001435677 337__ $$acomputer$$bc$$2rdamedia
001435677 338__ $$aonline resource$$bcr$$2rdacarrier
001435677 4901_ $$aMathematics in Mind
001435677 500__ $$aPart V Mathematical Models.
001435677 504__ $$aIncludes bibliographical references and index.
001435677 5050_ $$aIntro -- Contents -- Part I Language as a Complex System -- 1 Introduction -- 1.1 Aims -- 1.2 Structure of This Book -- 1.3 Position of This Book -- 1.3.1 Statistical Universals as Computational Properties of Natural Language -- 1.3.2 A Holistic Approach to Language via Complex Systems Theory -- 1.4 Prospectus -- 2 Universals -- 2.1 Language Universals -- 2.2 Layers of Universals -- 2.3 Universal, Stylized Hypothesis, and Law -- 3 Language as a Complex System -- 3.1 Sequence and Corpus -- 3.1.1 Definition of Corpus -- 3.1.2 On Meaning -- 3.1.3 On Infinity -- 3.1.4 On Randomness
001435677 5058_ $$a3.2 Power Functions -- 3.3 Scale-Free Property: Statistical Self-Similarity -- 3.4 Complex Systems -- 3.5 Two Basic Random Processes -- Part II Property of Population -- 4 Relation Between Rank and Frequency -- 4.1 Zipf's Law -- 4.2 Scale-Free Property and Hapax Legomena -- 4.3 Monkey Text -- 4.4 Power Law of n-grams -- 4.5 Relative Rank-Frequency Distribution -- 5 Bias in Rank-Frequency Relation -- 5.1 Literary Texts -- 5.2 Speech, Music, Programs, and More -- 5.3 Deviations from Power Law -- 5.3.1 Scale -- 5.3.2 Speaker Maturity -- 5.3.3 Characters vs. Words -- 5.4 Nature of Deviations
001435677 5058_ $$a6 Related Statistical Universals -- 6.1 Density Function -- 6.2 Vocabulary Growth -- Part III Property of Sequences -- 7 Returns -- 7.1 Word Returns -- 7.2 Distribution of Return Interval Lengths -- 7.3 Exceedance Probability -- 7.4 Bias Underlying Return Intervals -- 7.5 Rare Words as a Set -- 7.6 Behavior of Rare Words -- 8 Long-Range Correlation -- 8.1 Long-Range Correlation Analysis -- 8.2 Mutual Information -- 8.3 Autocorrelation Function -- 8.4 Correlation of Word Intervals -- 8.5 Nonstationarity of Language -- 8.6 Weak Long-Range Correlation -- 9 Fluctuation -- 9.1 Fluctuation Analysis
001435677 5058_ $$a9.2 Taylor Analysis -- 9.3 Differences Between the Two Fluctuation Analyses -- 9.4 Dimensions of Linguistic Fluctuation -- 9.5 Relations Among Methods -- 10 Complexity -- 10.1 Complexity of Sequence -- 10.2 Entropy Rate -- 10.3 Hilberg's Ansatz -- 10.4 Computing Entropy Rate of Human Language -- 10.5 Reconsidering the Question of Entropy Rate -- Part IV Relation to Linguistic Elements and Structure -- 11 Articulation of Elements -- 11.1 Harris's Hypothesis -- 11.2 Information-Theoretic Reformulation -- 11.3 Accuracy of Articulation by Harris's Scheme -- 12 Word Meaning and Value
001435677 5058_ $$a12.1 Meaning as Use and Distributional Semantics -- 12.2 Weber-Fechner Law -- 12.3 Word Frequency and Familiarity -- 12.4 Vector Representation of Words -- 12.5 Compositionality of Meaning -- 12.6 Statistical Universals and Meaning -- 13 Size and Frequency -- 13.1 Zipf Abbreviation of Words -- 13.2 Compound Length and Frequency -- 14 Grammatical Structure and Long Memory -- 14.1 Simple Grammatical Framework -- 14.2 Phrase Structure Grammar -- 14.3 Long-Range Dependence in Sentences -- 14.4 Grammatical Structure and Long-Range Correlation -- 14.5 Nature of Long Memory Underlying Language
001435677 506__ $$aAccess limited to authorized users.
001435677 520__ $$aThis volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic universals that contribute to describing the variation of human languages, and they can only be identified over a large accumulation of usages. The book provides an overview of state-of-the art findings on these statistical universals and reconsiders the nature of language accordingly, with Zipf's law as a well-known example. The main focus of the book further lies in explaining the property of long memory, which was discovered and studied more recently by borrowing concepts from complex systems theory. The statistical universals not only possibly lie as the precursor of language system formation, but they also highlight the qualities of language that remain weak points in today's machine learning. In summary, this book provides an overview of language's global properties. It will be of interest to anyone engaged in fields related to language and computing or statistical analysis methods, with an emphasis on researchers and students in computational linguistics and natural language processing. While the book does apply mathematical concepts, all possible effort has been made to speak to a non-mathematical audience as well by communicating mathematical content intuitively, with concise examples taken from real texts.
001435677 588__ $$aDescription based on print version record.
001435677 650_0 $$aMathematical linguistics.
001435677 650_0 $$aComputational linguistics.
001435677 650_6 $$aLinguistique mathématique.
001435677 650_6 $$aLinguistique informatique.
001435677 655_7 $$aLlibres electrònics.$$2thub
001435677 655_0 $$aElectronic books.
001435677 77608 $$iPrint version:$$aTanaka-Ishii, Kumiko.$$tStatistical Universals of Language.$$dCham : Springer International Publishing AG, ©2021$$z9783030593766
001435677 830_0 $$aMathematics in mind.
001435677 852__ $$bebk
001435677 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-59377-3$$zOnline Access$$91397441.1
001435677 909CO $$ooai:library.usi.edu:1435677$$pGLOBAL_SET
001435677 980__ $$aBIB
001435677 980__ $$aEBOOK
001435677 982__ $$aEbook
001435677 983__ $$aOnline
001435677 994__ $$a92$$bISE