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Mathematical Foundations Of Linguistics
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Book Synopsis Mathematical Linguistics by : Andras Kornai
Download or read book Mathematical Linguistics written by Andras Kornai and published by Springer Science & Business Media. This book was released on 2007-11-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Linguistics by : Andras Kornai
Download or read book Mathematical Linguistics written by Andras Kornai and published by Springer Science & Business Media. This book was released on 2007-12-16 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Methods in Linguistics by : Barbara B.H. Partee
Download or read book Mathematical Methods in Linguistics written by Barbara B.H. Partee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.
Book Synopsis The Mathematics of Language by : Marcus Kracht
Download or read book The Mathematics of Language written by Marcus Kracht and published by Walter de Gruyter. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Book Synopsis Mathematical Foundations of Speech and Language Processing by : Mark Johnson
Download or read book Mathematical Foundations of Speech and Language Processing written by Mark Johnson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Speech and language technologies continue to grow in importance as they are used to create natural and efficient interfaces between people and machines, and to automatically transcribe, extract, analyze, and route information from high-volume streams of spoken and written information. The workshops on Mathematical Foundations of Speech Processing and Natural Language Modeling were held in the Fall of 2000 at the University of Minnesota's NSF-sponsored Institute for Mathematics and Its Applications, as part of a "Mathematics in Multimedia" year-long program. Each workshop brought together researchers in the respective technologies on the one hand, and mathematicians and statisticians on the other hand, for an intensive week of cross-fertilization. There is a long history of benefit from introducing mathematical techniques and ideas to speech and language technologies. Examples include the source-channel paradigm, hidden Markov models, decision trees, exponential models and formal languages theory. It is likely that new mathematical techniques, or novel applications of existing techniques, will once again prove pivotal for moving the field forward. This volume consists of original contributions presented by participants during the two workshops. Topics include language modeling, prosody, acoustic-phonetic modeling, and statistical methodology.
Book Synopsis Mathematical Foundations of Linguistics by : H. M. Hubey
Download or read book Mathematical Foundations of Linguistics written by H. M. Hubey and published by . This book was released on 1999 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Linguistics by : H. M. Hubey
Download or read book Mathematical Foundations of Linguistics written by H. M. Hubey and published by . This book was released on 1999 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Statistical Natural Language Processing by : Christopher Manning
Download or read book Foundations of Statistical Natural Language Processing written by Christopher Manning and published by MIT Press. This book was released on 1999-05-28 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical approaches to processing natural language text have become dominant in recent years. This foundational text is the first comprehensive introduction to statistical natural language processing (NLP) to appear. The book contains all the theory and algorithms needed for building NLP tools. It provides broad but rigorous coverage of mathematical and linguistic foundations, as well as detailed discussion of statistical methods, allowing students and researchers to construct their own implementations. The book covers collocation finding, word sense disambiguation, probabilistic parsing, information retrieval, and other applications.
Book Synopsis Foundations of Computational Linguistics by : Roland Hausser
Download or read book Foundations of Computational Linguistics written by Roland Hausser and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central task of future-oriented computational linguistics is the development of cognitive machines which humans can freely speak to in their natural language. This will involve the development of a functional theory of language, an objective method of verification, and a wide range of practical applications. Natural communication requires not only verbal processing, but also non-verbal perception and action. Therefore, the content of this book is organized as a theory of language for the construction of talking robots with a focus on the mechanics of natural language communication in both the listener and the speaker.
Book Synopsis Structure of Language and Its Mathematical Aspects by : Roman Jakobson
Download or read book Structure of Language and Its Mathematical Aspects written by Roman Jakobson and published by American Mathematical Soc.. This book was released on 1961 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Language of Mathematics by : Mohan Ganesalingam
Download or read book The Language of Mathematics written by Mohan Ganesalingam and published by Springer. This book was released on 2013-03-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers
Book Synopsis Constructive Adpositional Grammars by : Marco Benini
Download or read book Constructive Adpositional Grammars written by Marco Benini and published by Cambridge Scholars Publishing. This book was released on 2011-05-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new paradigm of natural language grammar analysis, based on adposition as the key concept, considered a general connection between two morphemes – or group of morphemes. The adpositional paradigm considers the morpheme as the basic unit to represent morphosyntax, taken as a whole, in terms of constructions, while semantics and pragmatics are treated accordingly. All linguistic observations within the book can be described through the methods and tools of Constructive Mathematics, so that the modelling becomes formally feasible. A full description in category-theoretic terms of the formal model is provided in the Appendix. A lot of examples taken from natural languages belonging to different typological areas are offered throughout the volume, in order to explain and validate the modeling – with special attention given to ergativity. Finally, a first real-world application of the paradigm is given, i.e., conversational analysis of the transcript of therapeutic settings in terms of constructive speech acts. The main goal of this book is to broaden the scope of Linguistics by including Constructive Mathematics in order to deal with known topics such as grammaticalization, children’s speech, language comparison, dependency and valency from a different perspective. It primarily concerns advanced students and researchers in the field of Theoretical and Mathematical Linguistics but the audience can also include scholars interested in applications of Topos Theory in Linguistics.
Book Synopsis Foundations of the Formal Sciences II by : Benedikt Löwe
Download or read book Foundations of the Formal Sciences II written by Benedikt Löwe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Foundations of the Formal Sciences" (FotFS) is a series of interdisciplinary conferences in mathematics, philosophy, computer science and linguistics. The main goal is to reestablish the traditionally strong links between these areas of research that have been lost in the past decades. The second conference in the series had the subtitle "Applications of Mathematical Logic in Philosophy and Linguistics" and brought speakers from all parts of the Formal Sciences together to give a holistic view of how mathematical methods can improve our philosophical and technical understanding of language and scientific discourse, ranging from the theoretical level up to applications in language recognition software. Audience: This volume is of interest to all formal philosophers and theoretical linguists. In addition to that, logicians interested in the applications of their field and logic students in mathematics, computer science, philosophy and linguistics can use the volume to broaden their knowledge of applications of logic.
Book Synopsis The Philosophy and Science of Language by : Ryan M. Nefdt
Download or read book The Philosophy and Science of Language written by Ryan M. Nefdt and published by Springer Nature. This book was released on 2021-03-30 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a diverse range of scholars to address important philosophical and interdisciplinary questions in the study of language. Linguistics throughout history has been a conduit to the study of the mind, brain, societal structure, literature and history itself. The epistemic and methodological transfer between the sciences and humanities in regards to linguistics has often been documented, but the underlying philosophical issues have not always been adequately addressed. With 15 original and interdisciplinary chapters, this volume therefore tackles vital questions relating to the philosophy, history, and theoretical interplay between the study of language and fields as varied as logic, physics, biology, classical philology and neuroscience. With a four part structure, questions of the mathematical foundations of linguistics, links to the natural sciences, cognitive implications and historical connections, take centre stage throughout the volume. The final chapters present research related to the linguistic connections between history, philosophy and the humanities more broadly. Advancing new avenues of research, this volume is exemplary in its treatment of diachronic and cross-disciplinary interaction, and will be of interest to all scholars interested in the study of language.
Book Synopsis Fundamentals of Mathematics for Linguistics by : Barbara Hall Partee
Download or read book Fundamentals of Mathematics for Linguistics written by Barbara Hall Partee and published by . This book was released on 1978 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Big Data Analytics by : Vladimir Shikhman
Download or read book Mathematical Foundations of Big Data Analytics written by Vladimir Shikhman and published by Springer Nature. This book was released on 2021-02-11 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this textbook, basic mathematical models used in Big Data Analytics are presented and application-oriented references to relevant practical issues are made. Necessary mathematical tools are examined and applied to current problems of data analysis, such as brand loyalty, portfolio selection, credit investigation, quality control, product clustering, asset pricing etc. – mainly in an economic context. In addition, we discuss interdisciplinary applications to biology, linguistics, sociology, electrical engineering, computer science and artificial intelligence. For the models, we make use of a wide range of mathematics – from basic disciplines of numerical linear algebra, statistics and optimization to more specialized game, graph and even complexity theories. By doing so, we cover all relevant techniques commonly used in Big Data Analytics.Each chapter starts with a concrete practical problem whose primary aim is to motivate the study of a particular Big Data Analytics technique. Next, mathematical results follow – including important definitions, auxiliary statements and conclusions arising. Case-studies help to deepen the acquired knowledge by applying it in an interdisciplinary context. Exercises serve to improve understanding of the underlying theory. Complete solutions for exercises can be consulted by the interested reader at the end of the textbook; for some which have to be solved numerically, we provide descriptions of algorithms in Python code as supplementary material.This textbook has been recommended and developed for university courses in Germany, Austria and Switzerland.
Book Synopsis New Handbook of Mathematical Psychology: Volume 1, Foundations and Methodology by : William H. Batchelder
Download or read book New Handbook of Mathematical Psychology: Volume 1, Foundations and Methodology written by William H. Batchelder and published by Cambridge University Press. This book was released on 2016-12-15 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics, motivated by substantive problems in psychology. Central to its success was the publication of the first Handbook of Mathematical Psychology in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made in both traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the first title in this field to be published, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. This first volume focuses on select mathematical ideas, theories, and modeling approaches to form a foundational treatment of mathematical psychology.
