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Information Measures
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Book Synopsis A First Course in Information Theory by : Raymond W. Yeung
Download or read book A First Course in Information Theory written by Raymond W. Yeung and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.
Book Synopsis Information Measures by : Christoph Arndt
Download or read book Information Measures written by Christoph Arndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Bioinformaticians are facing the challenge of how to handle immense amounts of raw data, [...] and render them accessible to scientists working on a wide variety of problems. [This book] can be such a tool." IEEE Engineering in Medicine and Biology
Book Synopsis Characterizations of Information Measures by : Bruce Ebanks
Download or read book Characterizations of Information Measures written by Bruce Ebanks and published by World Scientific. This book was released on 1998 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is highly recommended for all those whose interests lie in the fields that deal with any kind of information measures. It will also find readers in the field of functional analysis..".Mathematical Reviews
Book Synopsis Characterization Of Information Measures by : Bruce Ebanks
Download or read book Characterization Of Information Measures written by Bruce Ebanks and published by World Scientific. This book was released on 1998-04-04 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: How should information be measured? That is the motivating question for this book. The concept of information has become so pervasive that people regularly refer to the present era as the Information Age. Information takes many forms: oral, written, visual, electronic, mechanical, electromagnetic, etc. Many recent inventions deal with the storage, transmission, and retrieval of information. From a mathematical point of view, the most basic problem for the field of information theory is how to measure information. In this book we consider the question: What are the most desirable properties for a measure of information to possess? These properties are then used to determine explicitly the most “natural” (i.e. the most useful and appropriate) forms for measures of information.This important and timely book presents a theory which is now essentially complete. The first book of its kind since 1975, it will bring the reader up to the current state of knowledge in this field.
Book Synopsis Directed Information Measures in Neuroscience by : Michael Wibral
Download or read book Directed Information Measures in Neuroscience written by Michael Wibral and published by Springer. This book was released on 2014-03-20 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of information transfer has found rapid adoption in neuroscience, where a highly dynamic transfer of information continuously runs on top of the brain's slowly-changing anatomical connectivity. Measuring such transfer is crucial to understanding how flexible information routing and processing give rise to higher cognitive function. Directed Information Measures in Neuroscience reviews recent developments of concepts and tools for measuring information transfer, their application to neurophysiological recordings and analysis of interactions. Written by the most active researchers in the field the book discusses the state of the art, future prospects and challenges on the way to an efficient assessment of neuronal information transfer. Highlights include the theoretical quantification and practical estimation of information transfer, description of transfer locally in space and time, multivariate directed measures, information decomposition among a set of stimulus/responses variables and the relation between interventional and observational causality. Applications to neural data sets and pointers to open source software highlight the usefulness of these measures in experimental neuroscience. With state-of-the-art mathematical developments, computational techniques and applications to real data sets, this book will be of benefit to all graduate students and researchers interested in detecting and understanding the information transfer between components of complex systems.
Book Synopsis Generalizations of Fuzzy Information Measures by : Anshu Ohlan
Download or read book Generalizations of Fuzzy Information Measures written by Anshu Ohlan and published by Springer. This book was released on 2016-10-20 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops applications of novel generalizations of fuzzy information measures in the field of pattern recognition, medical diagnosis, multi-criteria and multi-attribute decision making and suitability in linguistic variables. The focus of this presentation lies on introducing consistently strong and efficient generalizations of information and information-theoretic divergence measures in fuzzy and intuitionistic fuzzy environment covering different practical examples. The target audience comprises primarily researchers and practitioners in the involved fields but the book may also be beneficial for graduate students.
Book Synopsis Information Measures for Hesitant Fuzzy Sets and Their Extensions by : Bahram Farhadinia
Download or read book Information Measures for Hesitant Fuzzy Sets and Their Extensions written by Bahram Farhadinia and published by Springer. This book was released on 2018-12-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a thorough and systematic introduction to the latest research results on hesitant fuzzy and its extensions decision making theory. It includes five chapters: Hesitant Fuzzy Set and its Extensions, Distance Measures for Hesitant Fuzzy Sets and Their Extensions, Similarity Measures for Hesitant Fuzzy Sets and Their Extensions, Entropy Measures for Hesitant Fuzzy Sets and Their Extensions, and Application of Information Measures in Multiple Criteria Decision Making. These methodologies are also implemented in various fields such as decision making, medical diagnosis, cluster analysis, environmental management, etc. This book is suitable for the engineers, technicians, and researchers in the fields of fuzzy mathematics, operations research, information science and management science and engineering, etc. It can also be used as a textbook for postgraduate and senior-year undergraduate students of the relevant professional institutions of higher learning.
Book Synopsis Universal Estimation of Information Measures for Analog Sources by : Qing Wang
Download or read book Universal Estimation of Information Measures for Analog Sources written by Qing Wang and published by Now Publishers Inc. This book was released on 2009-05-26 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy, mutual information and divergence measure the randomness, dependence and dissimilarity, respectively, of random objects. In addition to their prominent role in information theory, they have found numerous applications, among others, in probability theory statistics, physics, chemistry, molecular biology, ecology, bioinformatics, neuroscience, machine learning, linguistics, and finance. Many of these applications require a universal estimate of information measures which does not assume knowledge of the statistical properties of the observed data. Over the past few decades, several nonparametric algorithms have been proposed to estimate information measures. Universal Estimation of Information Measures for Analog Sources presents a comprehensive survey of universal estimation of information measures for memoryless analog (real-valued or real vector-valued) sources with an emphasis on the estimation of mutual information and divergence and their applications. The book reviews the consistency of the universal algorithms and the corresponding sufficient conditions as well as their speed of convergence. Universal Estimation of Information Measures for Analog Sources provides a comprehensive review of an increasingly important topic in Information Theory. It will be of interest to students, practitioners and researchers working in Information Theory
Book Synopsis Reliability Modelling with Information Measures by : N. Unnikrishnan Nair
Download or read book Reliability Modelling with Information Measures written by N. Unnikrishnan Nair and published by CRC Press. This book was released on 2022-11-17 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the application of various measures of information like the entropy, divergence, inaccuracy, etc. in modelling lifetimes of devices or equipment in reliability analysis. This is an emerging area of study and research during the last two decades and is of potential interest in many fields. In this work the classical measures of uncertainty are sufficiently modified to meet the needs of lifetime data analysis. The book provides an exhaustive collection of materials in a single volume to make it a comprehensive source of reference. The first treatise on the subject. It brings together the work that have appeared in journals on different disciplines. It will serve as a text for graduate students and practioners of special studies in information theory, as well as statistics and as a reference book for researchers. The book contains illustrative examples, tables and figures for clarifying the concepts and methodologies, the book is self-contained. It helps students to access information relevant to careers in industry, engineering, applied statistics, etc.
Author :Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado Publisher :Bentham Science Publishers ISBN 13 :1608057607 Total Pages :432 pages Book Rating :4.6/5 (8 download)
Book Synopsis Concepts and Recent Advances in Generalized Information Measures and Statistics by : Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado
Download or read book Concepts and Recent Advances in Generalized Information Measures and Statistics written by Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado and published by Bentham Science Publishers. This book was released on 2013-12-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the introduction of the information measure widely known as Shannon entropy, quantifiers based on information theory and concepts such as entropic forms and statistical complexities have proven to be useful in diverse scientific research fields. This book contains introductory tutorials suitable for the general reader, together with chapters dedicated to the basic concepts of the most frequently employed information measures or quantifiers and their recent applications to different areas, including physics, biology, medicine, economics, communication and social sciences. As these quantifiers are powerful tools for the study of general time and data series independently of their sources, this book will be useful to all those doing research connected with information analysis. The tutorials in this volume are written at a broadly accessible level and readers will have the opportunity to acquire the knowledge necessary to use the information theory tools in their field of interest.
Book Synopsis Factorially Derived Information Measures for Differential Prediction of Officer Performance by : William H. Helme
Download or read book Factorially Derived Information Measures for Differential Prediction of Officer Performance written by William H. Helme and published by . This book was released on 1968 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems by : Rana Muhammad Zulqarnain
Download or read book Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems written by Rana Muhammad Zulqarnain and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to propose the generalized version of the multipolar neutrosophic soft set with operations and basic properties. Here, we define the AND, OR, Truth-Favorite, and False-Favorite operators along with their properties. Also, we define the necessity and possibility of operations for them. Later on, to extend it to solve the decision-making problems, we define some information measures such as distance, similarity, and correlation coefficient for the generalized multipolar neutrosophic soft set. Several desirable properties and their relationship between them are derived. Finally, based on these information measures, a decision-making algorithm is stated under the neutrosophic environment to tackle the uncertain and vague information.
Book Synopsis Information and Communication Theory by : Stefan Host
Download or read book Information and Communication Theory written by Stefan Host and published by John Wiley & Sons. This book was released on 2019-03-04 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important text that offers an in-depth guide to how information theory sets the boundaries for data communication In an accessible and practical style, Information and Communication Theory explores the topic of information theory and includes concrete tools that are appropriate for real-life communication systems. The text investigates the connection between theoretical and practical applications through a wide-variety of topics including an introduction to the basics of probability theory, information, (lossless) source coding, typical sequences as a central concept, channel coding, continuous random variables, Gaussian channels, discrete input continuous channels, and a brief look at rate distortion theory. The author explains the fundamental theory together with typical compression algorithms and how they are used in reality. He moves on to review source coding and how much a source can be compressed, and also explains algorithms such as the LZ family with applications to e.g. zip or png. In addition to exploring the channel coding theorem, the book includes illustrative examples of codes. This comprehensive text: Provides an adaptive version of Huffman coding that estimates source distribution Contains a series of problems that enhance an understanding of information presented in the text Covers a variety of topics including optimal source coding, channel coding, modulation and much more Includes appendices that explore probability distributions and the sampling theorem Written for graduate and undergraduate students studying information theory, as well as professional engineers, master’s students, Information and Communication Theory offers an introduction to how information theory sets the boundaries for data communication.
Book Synopsis On Measures of Information and Their Characterizations by : Acze?l
Download or read book On Measures of Information and Their Characterizations written by Acze?l and published by Academic Press. This book was released on 1975-12-17 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with measures of information (the most important ones being called entropies), their properties, and, reciprocally, with questions concerning which of these properties determine known measures of information, and which are the most general formulas satisfying reasonable requirements on practical measures of information. This is the first book investigating this subject in depth.
Book Synopsis Entropy Measures, Maximum Entropy Principle and Emerging Applications by : Karmeshu
Download or read book Entropy Measures, Maximum Entropy Principle and Emerging Applications written by Karmeshu and published by Springer. This book was released on 2012-10-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last two decades have witnessed an enormous growth with regard to ap plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values etc. ; and it is then required to construct a probabilistic model from this partial information. In such situations, the principle of maximum entropy provides a rational ba sis for constructing a probabilistic model. It is thus necessary and important to keep track of advances in the applications of maximum entropy principle to ever expanding areas of knowledge.
Book Synopsis Entropy and Information Theory by : Robert M. Gray
Download or read book Entropy and Information Theory written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.
Book Synopsis Measures of Health Literacy by : Institute of Medicine
Download or read book Measures of Health Literacy written by Institute of Medicine and published by National Academies Press. This book was released on 2009-12-30 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Health literacy-the ability for individuals to obtain, process, and understand basic health information and services to facilitate appropriate health decisions-is increasingly recognized as an important facet of health care and health outcomes. Although research on health literacy has grown tremendously in the past decade, there is no widely agreed-upon framework for health literacy as a determinant of health outcomes. Most instruments focus on assessing an individual's health literacy, yet the scope of health literacy reaches far beyond an individual's skills and abilities. Health literacy occurs in the context of the health care system, and therefore measures of health literacy must also assess the demands and complexities of the health care systems with which patients interact. For example, measures are needed to determine how well the system has been organized so that it can be navigated by individuals with different levels of health literacy and how well health organizations are doing at making health information understandable and actionable. To examine what is known about measures of health literacy, the Institute of Medicine convened a workshop. The workshop, summarized in this volume, reviews the current status of measures of health literacy, including those used in the health care setting; discusses possible surrogate measures that might be used to assess health literacy; and explores ways in which health literacy measures can be used to assess patient-centered approaches to care.
