Analytic Information Theory
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Stochastic Models Information Theory And Lie Groups Volume 2
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-15
Stochastic Models Information Theory And Lie Groups Volume 2 written by Gregory S. Chirikjian 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 2011-11-15 with Mathematics categories.
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Redundancy Of Lossless Data Compression For Known Sources By Analytic Methods
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Author : Michael Drmota
language : en
Publisher:
Release Date : 2017
Redundancy Of Lossless Data Compression For Known Sources By Analytic Methods written by Michael Drmota and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Coding theory categories.
Lossless data compression is a facet of source coding and a well studied problem of information theory. Its goal is to find a shortest possible code that can be unambiguously recovered. Here, we focus on rigorous analysis of code redundancy for known sources. The redundancy rate problem determines by how much the actual code length exceeds the optimal code length. We present precise analyses of three types of lossless data compression schemes, namely fixed-to-variable (FV) length codes, variable-to-fixed (VF) length codes, and variable to- variable (VV) length codes. In particular, we investigate the average redundancy of Shannon, Huffman, Tunstall, Khodak and Boncelet codes. These codes have succinct representations as trees, either as coding or parsing trees, and we analyze here some of their parameters (e.g., the average path from the root to a leaf). Such trees are precisely analyzed by analytic methods, known also as analytic combinatorics, in which complex analysis plays decisive role. These tools include generating functions, Mellin transform, Fourier series, saddle point method, analytic poissonization and depoissonization, Tauberian theorems, and singularity analysis. The term analytic information theory has been coined to describe problems of information theory studied by analytic tools. This approach lies on the crossroad of information theory, analysis of algorithms, and combinatorics.
What Every Engineer Should Know About Data Driven Analytics
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Author : Satish Mahadevan Srinivasan
language : en
Publisher: CRC Press
Release Date : 2023-04-13
What Every Engineer Should Know About Data Driven Analytics written by Satish Mahadevan Srinivasan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-13 with Computers categories.
What Every Engineer Should Know About Data-Driven Analytics provides a comprehensive introduction to the theoretical concepts and approaches of machine learning that are used in predictive data analytics. By introducing the theory and by providing practical applications, this text can be understood by every engineering discipline. It offers a detailed and focused treatment of the important machine learning approaches and concepts that can be exploited to build models to enable decision making in different domains. Utilizes practical examples from different disciplines and sectors within engineering and other related technical areas to demonstrate how to go from data, to insight, and to decision making Introduces various approaches to build models that exploits different algorithms Discusses predictive models that can be built through machine learning and used to mine patterns from large datasets Explores the augmentation of technical and mathematical materials with explanatory worked examples Includes a glossary, self-assessments, and worked-out practice exercises Written to be accessible to non-experts in the subject, this comprehensive introductory text is suitable for students, professionals, and researchers in engineering and data science.
Ieee International Symposium On Information Theory
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Author :
language : en
Publisher:
Release Date : 1998
Ieee International Symposium On Information Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Information theory categories.
Stochastic Models Information Theory And Lie Groups Volume 1
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-02
Stochastic Models Information Theory And Lie Groups Volume 1 written by Gregory S. Chirikjian 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 2009-09-02 with Mathematics categories.
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Analytic Number Theory
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Author : Donald J. Newman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Analytic Number Theory written by Donald J. Newman 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 2006-04-18 with Mathematics categories.
Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is magical about the subject. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.
Latin 2002 Theoretical Informatics
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Author : Sergio Rajsbaum
language : en
Publisher: Springer
Release Date : 2003-07-31
Latin 2002 Theoretical Informatics written by Sergio Rajsbaum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Symposium, Latin American Theoretical Informatics, LATIN 2002, held in Cancun, Mexico, in April 2002. The 44 revised full papers presented together with a tutorial and 7 abstracts of invited contributions were carefully reviewed and selected from a total of 104 submissions. The papers presented are devoted to a broad range of topics from theoretical computer science and mathematical foundations, with a certain focus on algorithmics and computations related to discrete structures.
Introduction To Information Theory And Data Compression
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Author : Peter D. Johnson Jr.
language : en
Publisher: CRC Press
Release Date : 2003-02-26
Introduction To Information Theory And Data Compression written by Peter D. Johnson Jr. and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-26 with Computers categories.
An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed so that the data compression section requires no pr
Analytic Philosophy
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Author : Andrew D. Chapman
language : en
Publisher: The Autodidact’s Toolkit
Release Date : 2023-12-06
Analytic Philosophy written by Andrew D. Chapman and has been published by The Autodidact’s Toolkit this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-06 with Philosophy categories.
In Analytic Philosophy readers are invited to embark on an enlightening journey through one of the most influential and rigorous fields of thought in the modern era. This comprehensive guide serves as a beacon, illuminating the intricate pathways of analytic philosophy for both the uninitiated and the experienced scholar. From the historical underpinnings to contemporary debates, this book meticulously unravels the complex tapestry of analytic philosophy. Discover the key figures and their groundbreaking contributions that have shaped this discipline. Delve into critical topics such as the mind-body problem, the nature of knowledge, the essence of scientific inquiry, and the intricacies of language and logic. Each chapter in this guide presents a balanced and thorough exploration of various themes, including ethics, metaphysics, philosophy of mind, and political philosophy. Engage with challenging ideas, analyze philosophical arguments, and ponder the profound questions that have intrigued and perplexed thinkers for centuries. Prepare to be transformed by the depth and breadth of knowledge contained within these pages. Analytic Philosophy is not just a book; it's an intellectual odyssey that invites you to question, reflect, and expand your understanding of the world. Whether you are a student of philosophy, a seasoned academic, or simply a curious mind seeking to understand the complexities of human thought, this book is an indispensable resource. It stands as a testament to the enduring power and relevance of analytic philosophy in our modern world. Join us on this captivating exploration and discover the profound impact of analytic philosophy on our understanding of the world.
Introduction To The Theory Of Analytic Spaces
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Author : Raghavan Narasimhan
language : en
Publisher: Springer
Release Date : 2006-11-14
Introduction To The Theory Of Analytic Spaces written by Raghavan Narasimhan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.