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Counterexamples In Markov Decision Processes


Counterexamples In Markov Decision Processes
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Counterexamples In Markov Decision Processes


Counterexamples In Markov Decision Processes
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Author : Alexey B Piunovskiy
language : en
Publisher: World Scientific
Release Date : 2025-03-17

Counterexamples In Markov Decision Processes written by Alexey B Piunovskiy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Mathematics categories.


Markov Decision Processes (MDPs) form a cornerstone of applied probability, with over 50 years of rich research history. Throughout this time, numerous foundational books and thousands of journal articles have shaped the field. The central objective of MDP theory is to identify the optimal control strategy for Markov random processes with discrete time. Interestingly, the best control strategies often display unexpected or counterintuitive behaviors, as documented by a wide array of studies.This book gathers some of the most compelling examples of such phenomena while introducing new ones. By doing so, it serves as a valuable companion to existing textbooks. While many examples require little to no prior knowledge, others delve into advanced topics and will primarily interest specialists.In this second edition, extensive revisions have been made, correcting errors and refining the content, with a wealth of new examples added. The range of examples spans from elementary to advanced, requiring background knowledge in areas like measure theory, convex analysis, and advanced probability. A new chapter on continuous time jump processes has also been introduced. The entire text has been reworked for clarity and accessibility.This book is an essential resource for active researchers and graduate students in the field of Markov Decision Processes.



Counterexamples In Markov Decision Processes


Counterexamples In Markov Decision Processes
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Author : A. B. Piunovskiy
language : en
Publisher: Wspc (Europe)
Release Date : 2025

Counterexamples In Markov Decision Processes written by A. B. Piunovskiy and has been published by Wspc (Europe) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics categories.


""This remarkable and intriguing book is highly recommended. Some examples are aimed at undergraduate students, whilst others will be of interest to advanced undergraduates, graduates and research students in probability theory, optimal control and applied mathematics, looking for a better understanding of the theory; experts in Markov decision processes, professional or amateur researchers. Active researchers can refer to this book on applicability of mathematical methods and theorems." The European Mathematical Society "The book presents many interesting topics and results. This is an important book that will be particularly useful to students and researchers on MDPs. I recommend it to anyone interested in the theory of MDPs." Mathematical Reviews Markov Decision Processes (MDPs) form a cornerstone of applied probability, with over 50 years of rich research history. Throughout this time, numerous foundational books and thousands of journal articles have shaped the field. The central objective of MDP theory is to identify the optimal control strategy for Markov random processes with discrete time. Interestingly, the best control strategies often display unexpected or counterintuitive behaviors, as documented by a wide array of studies. This book gathers some of the most compelling examples of such phenomena while introducing new ones. By doing so, it serves as a valuable companion to existing textbooks. While many examples require little to no prior knowledge, others delve into advanced topics and will primarily interest specialists. In this second edition, extensive revisions have been made, correcting errors and refining the content, with a wealth of new examples added. The range of examples spans from elementary to advanced, requiring background knowledge in areas like measure theory, convex analysis, and advanced probability. A new chapter on continuous time jump processes has also been introduced. The entire text has been reworked for clarity and accessibility. This book is an essential resource for active researchers and graduate students in the field of Markov Decision Processes"-- Provided by publisher.



Counterexamples In Probability And Statistics


Counterexamples In Probability And Statistics
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Author : A.F. Siegel
language : en
Publisher: Routledge
Release Date : 2017-11-22

Counterexamples In Probability And Statistics written by A.F. Siegel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.


This volume contains six early mathematical works, four papers on fiducial inference, five on transformations, and twenty-seven on a miscellany of topics in mathematical statistics. Several previously unpublished works are included.



Examples In Markov Decision Processes


Examples In Markov Decision Processes
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Author : A. B. Piunovskiy
language : en
Publisher: World Scientific
Release Date : 2013

Examples In Markov Decision Processes written by A. B. Piunovskiy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


This invaluable book provides approximately eighty examples illustrating the theory of controlled discrete-time Markov processes. Except for applications of the theory to real-life problems like stock exchange, queues, gambling, optimal search etc, the main attention is paid to counter-intuitive, unexpected properties of optimization problems. Such examples illustrate the importance of conditions imposed in the theorems on Markov Decision Processes. Many of the examples are based upon examples published earlier in journal articles or textbooks while several other examples are new. The aim was to collect them together in one reference book which should be considered as a complement to existing monographs on Markov decision processes. The book is self-contained and unified in presentation. The main theoretical statements and constructions are provided, and particular examples can be read independently of others. Examples in Markov Decision Processes is an essential source of reference for mathematicians and all those who apply the optimal control theory to practical purposes. When studying or using mathematical methods, the researcher must understand what can happen if some of the conditions imposed in rigorous theorems are not satisfied. Many examples confirming the importance of such conditions were published in different journal articles which are often difficult to find. This book brings together examples based upon such sources, along with several new ones. In addition, it indicates the areas where Markov decision processes can be used. Active researchers can refer to this book on applicability of mathematical methods and theorems. It is also suitable reading for graduate and research students where they will better understand the theory.



Generation Of Counterexamples For Model Checking Of Markov Decision Processes


Generation Of Counterexamples For Model Checking Of Markov Decision Processes
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Author : Husain Aljazzar
language : en
Publisher:
Release Date : 2010

Generation Of Counterexamples For Model Checking Of Markov Decision Processes written by Husain Aljazzar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.




Examples In Markov Decision Processes


Examples In Markov Decision Processes
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Author : A. B. Piunovskiy
language : en
Publisher: World Scientific
Release Date : 2012

Examples In Markov Decision Processes written by A. B. Piunovskiy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This invaluable book provides approximately eighty examples illustrating the theory of controlled discrete-time Markov processes. Except for applications of the theory to real-life problems like stock exchange, queues, gambling, optimal search etc, the main attention is paid to counter-intuitive, unexpected properties of optimization problems. Such examples illustrate the importance of conditions imposed in the theorems on Markov Decision Processes. Many of the examples are based upon examples published earlier in journal articles or textbooks while several other examples are new. The aim was to collect them together in one reference book which should be considered as a complement to existing monographs on Markov decision processes.The book is self-contained and unified in presentation.The main theoretical statements and constructions are provided, and particular examples can be read independently of others. Examples in Markov Decision Processes is an essential source of reference for mathematicians and all those who apply the optimal control theory to practical purposes. When studying or using mathematical methods, the researcher must understand what can happen if some of the conditions imposed in rigorous theorems are not satisfied. Many examples confirming the importance of such conditions were published in different journal articles which are often difficult to find. This book brings together examples based upon such sources, along with several new ones. In addition, it indicates the areas where Markov decision processes can be used. Active researchers can refer to this book on applicability of mathematical methods and theorems. It is also suitable reading for graduate and research students where they will better understand the theory.



Markov Decision Processes


Markov Decision Processes
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Author : Martin L. Puterman
language : en
Publisher: John Wiley & Sons
Release Date : 2014-08-28

Markov Decision Processes written by Martin L. Puterman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-28 with Mathematics categories.


The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "This text is unique in bringing together so many results hitherto found only in part in other texts and papers. . . . The text is fairly self-contained, inclusive of some basic mathematical results needed, and provides a rich diet of examples, applications, and exercises. The bibliographical material at the end of each chapter is excellent, not only from a historical perspective, but because it is valuable for researchers in acquiring a good perspective of the MDP research potential." —Zentralblatt fur Mathematik ". . . it is of great value to advanced-level students, researchers, and professional practitioners of this field to have now a complete volume (with more than 600 pages) devoted to this topic. . . . Markov Decision Processes: Discrete Stochastic Dynamic Programming represents an up-to-date, unified, and rigorous treatment of theoretical and computational aspects of discrete-time Markov decision processes." —Journal of the American Statistical Association



Verification Model Checking And Abstract Interpretation


Verification Model Checking And Abstract Interpretation
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Author : Neil D. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-13

Verification Model Checking And Abstract Interpretation written by Neil D. Jones 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 2009-02-13 with Computers categories.


The book constitutes the refereed proceedings of the 10th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2009, held in Savannah, GA, USA, in January 2009 - co-located with POPL 2009, the 36th Annual Symposium on Principles of Programming Languages. The 24 revised full papers presented together with 3 invited talks and 2 invited tutorials were carefully reviewed and selected from 72 submissions. The papers address all current issues from the communities of verification, model checking, and abstract interpretation, facilitating interaction, cross-fertilization, and advancement of hybrid methods that combine the three areas.



Counterexamples For Model Checking Of Markov Decision Processes


Counterexamples For Model Checking Of Markov Decision Processes
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Author : Husain Aljazzar
language : en
Publisher:
Release Date : 2008

Counterexamples For Model Checking Of Markov Decision Processes written by Husain Aljazzar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.




Model Checking Software


Model Checking Software
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Author : Alex Groce
language : en
Publisher: Springer
Release Date : 2011-07-05

Model Checking Software written by Alex Groce and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-05 with Computers categories.


This book constitutes the refereed proceedings of the 18th International SPIN workshop on Model Checking Software, SPIN 2011, held in Snowbird, UT, USA, in July 2011. The 10 revised full papers presented together with 2 tool demonstration papers and 1 invited contribution were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on abstractions and state-space reductions; search strategies; PROMELA encodings and extensions; and applications of model checking.