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Introduction To Probabilistic Automata


Introduction To Probabilistic Automata
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Introduction To Probabilistic Automata


Introduction To Probabilistic Automata
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Author : Azaria Paz
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Introduction To Probabilistic Automata written by Azaria Paz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Introduction to Probabilistic Automata deals with stochastic sequential machines, Markov chains, events, languages, acceptors, and applications. The book describes mathematical models of stochastic sequential machines (SSMs), stochastic input-output relations, and their representation by SSMs. The text also investigates decision problems and minimization-of-states problems arising from concepts of equivalence and coverings for SSMs. The book presents the theory of nonhomogeneous Markov chains and systems in mathematical terms, particularly in relation to asymptotic behavior, composition (direct sum or product), and decomposition. "Word functions," induced by Markov chains and valued Markov systems, involve characterization, equivalence, and representability by an underlying Markov chain or system. The text also discusses the closure properties of probabilistic languages, events and their relation to regular events, particularly with reference to definite, quasidefinite, and exclusive events. Probabilistic automata theory has applications in information theory, control, learning theory, pattern recognition, and time sharing in computer programming. Programmers, computer engineers, computer instructors, and students of computer science will find the collection highly valuable.



Learning Automata


Learning Automata
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Author : Kumpati S. Narendra
language : en
Publisher: Courier Corporation
Release Date : 2013-05-27

Learning Automata written by Kumpati S. Narendra and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Technology & Engineering categories.


This self-contained introductory text on the behavior of learning automata focuses on how a sequential decision-maker with a finite number of choices responds in a random environment. Topics include fixed structure automata, variable structure stochastic automata, convergence, 0 and S models, nonstationary environments, interconnected automata and games, and applications of learning automata. A must for all students of stochastic algorithms, this treatment is the work of two well-known scientists and is suitable for a one-semester graduate course in automata theory and stochastic algorithms. This volume also provides a fine guide for independent study and a reference for students and professionals in operations research, computer science, artificial intelligence, and robotics. The authors have provided a new preface for this edition.



Probabilistic Cellular Automata


Probabilistic Cellular Automata
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Author : Pierre-Yves Louis
language : en
Publisher: Springer
Release Date : 2018-02-21

Probabilistic Cellular Automata written by Pierre-Yves Louis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-21 with Mathematics categories.


This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical systems. As such, it will be of interest to students and non-specialists looking to enter the field and to explore its challenges and open issues.



Stability And Cut Points Of Probabilistic Automata


Stability And Cut Points Of Probabilistic Automata
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Author : Gerald M. Flachs
language : en
Publisher:
Release Date : 1967

Stability And Cut Points Of Probabilistic Automata written by Gerald M. Flachs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Machine theory categories.




A Decision Problem Of Finite State Probabilistic Automata


A Decision Problem Of Finite State Probabilistic Automata
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Author : Kuo An Chen
language : en
Publisher:
Release Date : 1971

A Decision Problem Of Finite State Probabilistic Automata written by Kuo An Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.


It is shown that nonregular languages can be accepted by finite state probabilistic automata. For many years it was not known whether a finite state probabilistic automaton existed which would accept a context sensitive language that is not context free. Such a finite state probabilistic automaton is constructed and the above question is clarified. It is known that the problem of determining for an arbitrary finite state probabilistic automaton whether the set of words accepted by the automaton is regular, is recursively unsolvable. However, a related problem, namely to determine for an arbitrary finite state probabilistic automaton whether the total number of distinct state transition matrices of the automaton is finite, is solvable. An algorithm for solving this problem is presented in this report. The equivalent problem in mathematics is to decide when a stochastic semigroup with a finite number of generators is finite. In the process of presenting the algorithm, the concept of generalized permutation matrices is introduced. The set of generalized permutation matrices for a given matrix forms a semigroup, but not a group. The concept of generalized permutation matrices gives insight into the reason why a finite state probabilistic automaton has a finite number of distinct state transition matrices. (Author).



An Introduction To The Theory Of Formal Languages And Automata


An Introduction To The Theory Of Formal Languages And Automata
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Author : W. J. Levelt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-03-18

An Introduction To The Theory Of Formal Languages And Automata written by W. J. Levelt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-18 with Language Arts & Disciplines categories.


No detailed description available for "An Introduction to the Theory of Formal Languages and Automata".



An Introduction To Probabilistic Modeling


An Introduction To Probabilistic Modeling
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Author : Pierre Bremaud
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Probabilistic Modeling written by Pierre Bremaud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Introduction to the basic concepts of probability theory: independence, expectation, convergence in law and almost-sure convergence. Short expositions of more advanced topics such as Markov Chains, Stochastic Processes, Bayesian Decision Theory and Information Theory.



Automata Languages And Programming


Automata Languages And Programming
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Author : Fernando Orejas
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-27

Automata Languages And Programming written by Fernando Orejas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-27 with Computers categories.


This book constitutes the refereed proceedings of the 28th International Colloquium on Automata, Languages and Programming, ICALP 2001, held in Crete, Greece in July 2001. The 80 revised papers presented together with two keynote contributions and four invited papers were carefully reviewed and selected from a total of 208 submissions. The papers are organized in topical sections on algebraic and circuit complexity, algorithm analysis, approximation and optimization, complexity, concurrency, efficient data structures, graph algorithms, language theory, codes and automata, model checking and protocol analysis, networks and routing, reasoning and verification, scheduling, secure computation, specification and deduction, and structural complexity.



Notes On Learning Probabilistic Automata


Notes On Learning Probabilistic Automata
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Author : Alberto Apostolico
language : en
Publisher:
Release Date : 1999

Notes On Learning Probabilistic Automata written by Alberto Apostolico and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




On Learning Probabilistic Automata


On Learning Probabilistic Automata
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Author : Alberto Apostolico
language : en
Publisher:
Release Date : 1999

On Learning Probabilistic Automata written by Alberto Apostolico and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.