Entropy And Redundancy In Discrete Multivariate Distributions

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Entropy Theory and its Application in Environmental and Water Engineering

Author : Vijay P. Singh
Publisher : John Wiley & Sons
ISBN 13 : 1118428609
Total Pages : 787 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Entropy Theory and its Application in Environmental and Water Engineering by : Vijay P. Singh

Download or read book Entropy Theory and its Application in Environmental and Water Engineering written by Vijay P. Singh and published by John Wiley & Sons. This book was released on 2013-01-10 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy Theory and its Application in Environmental and Water Engineering responds to the need for a book that deals with basic concepts of entropy theory from a hydrologic and water engineering perspective and then for a book that deals with applications of these concepts to a range of water engineering problems. The range of applications of entropy is constantly expanding and new areas finding a use for the theory are continually emerging. The applications of concepts and techniques vary across different subject areas and this book aims to relate them directly to practical problems of environmental and water engineering. The book presents and explains the Principle of Maximum Entropy (POME) and the Principle of Minimum Cross Entropy (POMCE) and their applications to different types of probability distributions. Spatial and inverse spatial entropy are important for urban planning and are presented with clarity. Maximum entropy spectral analysis and minimum cross entropy spectral analysis are powerful techniques for addressing a variety of problems faced by environmental and water scientists and engineers and are described here with illustrative examples. Giving a thorough introduction to the use of entropy to measure the unpredictability in environmental and water systems this book will add an essential statistical method to the toolkit of postgraduates, researchers and academic hydrologists, water resource managers, environmental scientists and engineers. It will also offer a valuable resource for professionals in the same areas, governmental organizations, private companies as well as students in earth sciences, civil and agricultural engineering, and agricultural and rangeland sciences. This book: Provides a thorough introduction to entropy for beginners and more experienced users Uses numerous examples to illustrate the applications of the theoretical principles Allows the reader to apply entropy theory to the solution of practical problems Assumes minimal existing mathematical knowledge Discusses the theory and its various aspects in both univariate and bivariate cases Covers newly expanding areas including neural networks from an entropy perspective and future developments.

Information Decomposition of Target Effects from Multi-Source Interactions

Author : Joseph Lizier
Publisher : MDPI
ISBN 13 : 3038970158
Total Pages : 337 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Information Decomposition of Target Effects from Multi-Source Interactions by : Joseph Lizier

Download or read book Information Decomposition of Target Effects from Multi-Source Interactions written by Joseph Lizier and published by MDPI. This book was released on 2018-09-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Information Decomposition of Target Effects from Multi-Source Interactions" that was published in Entropy

Modern Mathematical Tools and Techniques in Capturing Complexity

Author : Leandro Pardo
Publisher : Springer Science & Business Media
ISBN 13 : 3642208525
Total Pages : 498 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Modern Mathematical Tools and Techniques in Capturing Complexity by : Leandro Pardo

Download or read book Modern Mathematical Tools and Techniques in Capturing Complexity written by Leandro Pardo and published by Springer Science & Business Media. This book was released on 2011-05-26 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life problems are often quite complicated in form and nature and, for centuries, many different mathematical concepts, ideas and tools have been developed to formulate these problems theoretically and then to solve them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.

Copulas and their Applications in Water Resources Engineering

Author : Lan Zhang
Publisher : Cambridge University Press
ISBN 13 : 1108638414
Total Pages : 621 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Copulas and their Applications in Water Resources Engineering by : Lan Zhang

Download or read book Copulas and their Applications in Water Resources Engineering written by Lan Zhang and published by Cambridge University Press. This book was released on 2019-01-10 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex environmental and hydrological processes are characterized by more than one correlated random variable. These events are multivariate and their treatment requires multivariate frequency analysis. Traditional analysis methods are, however, too restrictive and do not apply in many cases. Recent years have therefore witnessed numerous applications of copulas to multivariate hydrologic frequency analyses. This book describes the basic concepts of copulas, and outlines current trends and developments in copula methodology and applications. It includes an accessible discussion of the methods alongside simple step-by-step sample calculations. Detailed case studies with real-world data are included, and are organized based on applications, such as flood frequency analysis and water quality analysis. Illustrating how to apply the copula method to multivariate frequency analysis, engineering design, and risk and uncertainty analysis, this book is ideal for researchers, professionals and graduate students in hydrology and water resources engineering.

Genetic Programming Theory and Practice VI

Author : Rick Riolo
Publisher : Springer Science & Business Media
ISBN 13 : 0387876235
Total Pages : 281 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Genetic Programming Theory and Practice VI by : Rick Riolo

Download or read book Genetic Programming Theory and Practice VI written by Rick Riolo and published by Springer Science & Business Media. This book was released on 2008-11-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic Programming Theory and Practice VI was developed from the sixth workshop at the University of Michigan’s Center for the Study of Complex Systems to facilitate the exchange of ideas and information related to the rapidly advancing field of Genetic Programming (GP). Contributions from the foremost international researchers and practitioners in the GP arena examine the similarities and differences between theoretical and empirical results on real-world problems. The text explores the synergy between theory and practice, producing a comprehensive view of the state of the art in GP application. These contributions address several significant interdependent themes which emerged from this year’s workshop, including: (1) Making efficient and effective use of test data. (2) Sustaining the long-term evolvability of our GP systems. (3) Exploiting discovered subsolutions for reuse. (4) Increasing the role of a Domain Expert.

Advances in Hydraulic Research

Author : Monika B. Kalinowska
Publisher : Springer Nature
ISBN 13 : 3031560930
Total Pages : 405 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Hydraulic Research by : Monika B. Kalinowska

Download or read book Advances in Hydraulic Research written by Monika B. Kalinowska and published by Springer Nature. This book was released on with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimisation of Dynamic Heterogeneous Rainfall Sensor Networks in the Context of Citizen Observatories

Author : Juan Carlos Chacon-Hurtado
Publisher : CRC Press
ISBN 13 : 1000727521
Total Pages : 203 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Optimisation of Dynamic Heterogeneous Rainfall Sensor Networks in the Context of Citizen Observatories by : Juan Carlos Chacon-Hurtado

Download or read book Optimisation of Dynamic Heterogeneous Rainfall Sensor Networks in the Context of Citizen Observatories written by Juan Carlos Chacon-Hurtado and published by CRC Press. This book was released on 2019-11-21 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Precipitation drives the dynamics of flows and storages in water systems, making its monitoring essential for water management. Conventionally, precipitation is monitored using in-situ and remote sensors. In-situ sensors are arranged in networks, which are usually sparse, providing continuous observations for long periods at fixed points in space, and due to the high costs of such networks, they are often sub-optimal. To increase the efficiency of the monitoring networks, we explore the use of sensors that can relocate as rainfall events develop (dynamic sensors), as well as increasing the number of sensors involving volunteers (citizens). This research focusses on the development of an approach for merging heterogeneous observations in non-stationary precipitation fields, exploring the interactions between different definitions of optimality for the design of sensor networks, as well as development of algorithms for the optimal scheduling of dynamic sensors. This study was carried out in three different case studies, including Bacchiglione River (Italy), Don River (U.K.) and Brue Catchment (U.K.) The results of this study indicate that optimal use of dynamic sensors may be useful for monitoring precipitation to support water management and flow forecasting.

Index to Statistics and Probability: Permuted titles. A-Microbiology

Author : John Wilder Tukey
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 846 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Index to Statistics and Probability: Permuted titles. A-Microbiology by : John Wilder Tukey

Download or read book Index to Statistics and Probability: Permuted titles. A-Microbiology written by John Wilder Tukey and published by American Mathematical Society(RI). This book was released on 1973 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Information Theory and Network Coding

Author : Raymond W. Yeung
Publisher : Springer Science & Business Media
ISBN 13 : 0387792333
Total Pages : 592 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Information Theory and Network Coding by : Raymond W. Yeung

Download or read book Information Theory and Network Coding written by Raymond W. Yeung and published by Springer Science & Business Media. This book was released on 2008-09-10 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years have witnessed the rapid development of network coding into a research ?eld of its own in information science. With its root in infor- tion theory, network coding has not only brought about a paradigm shift in network communications at large, but also had signi?cant in?uence on such speci?c research ?elds as coding theory, networking, switching, wireless c- munications,distributeddatastorage,cryptography,andoptimizationtheory. While new applications of network coding keep emerging, the fundamental - sults that lay the foundation of the subject are more or less mature. One of the main goals of this book therefore is to present these results in a unifying and coherent manner. While the previous book focused only on information theory for discrete random variables, the current book contains two new chapters on information theory for continuous random variables, namely the chapter on di?erential entropy and the chapter on continuous-valued channels. With these topics included, the book becomes more comprehensive and is more suitable to be used as a textbook for a course in an electrical engineering department.

Information Dynamics

Author : Harald Atmanspacher
Publisher : Springer Science & Business Media
ISBN 13 : 1489923055
Total Pages : 362 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Information Dynamics by : Harald Atmanspacher

Download or read book Information Dynamics written by Harald Atmanspacher and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ASI held in Irsee/Kaufbeuren, Germany, June 15--26, 1990

Information Theory and Statistics

Author : Solomon Kullback
Publisher : Courier Corporation
ISBN 13 : 0486142043
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Information Theory and Statistics by : Solomon Kullback

Download or read book Information Theory and Statistics written by Solomon Kullback and published by Courier Corporation. This book was released on 2012-09-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.

Physics Letters

Author :
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Physics Letters by :

Download or read book Physics Letters written by and published by . This book was released on 1996 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: General physics, atomic physics, molecular physics, and solid state physics.

Information Theory, Inference and Learning Algorithms

Author : David J. C. MacKay
Publisher : Cambridge University Press
ISBN 13 : 9780521642989
Total Pages : 694 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Information Theory, Inference and Learning Algorithms by : David J. C. MacKay

Download or read book Information Theory, Inference and Learning Algorithms written by David J. C. MacKay and published by Cambridge University Press. This book was released on 2003-09-25 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book introduces theory in tandem with applications. Information theory is taught alongside practical communication systems such as arithmetic coding for data compression and sparse-graph codes for error-correction. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art error-correcting codes, including low-density-parity-check codes, turbo codes, and digital fountain codes - the twenty-first-century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Elements of Information Theory

Author : Thomas M. Cover
Publisher : John Wiley & Sons
ISBN 13 : 1118585771
Total Pages : 788 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Elements of Information Theory by : Thomas M. Cover

Download or read book Elements of Information Theory written by Thomas M. Cover and published by John Wiley & Sons. This book was released on 2012-11-28 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.

System Engineering

Author : Harry H. Goode
Publisher :
ISBN 13 :
Total Pages : 578 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis System Engineering by : Harry H. Goode

Download or read book System Engineering written by Harry H. Goode and published by . This book was released on 1957 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Entropy Theory in Hydrologic Science and Engineering

Author : Vijay P. Singh
Publisher : McGraw Hill Professional
ISBN 13 : 0071835474
Total Pages : 849 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Entropy Theory in Hydrologic Science and Engineering by : Vijay P. Singh

Download or read book Entropy Theory in Hydrologic Science and Engineering written by Vijay P. Singh and published by McGraw Hill Professional. This book was released on 2014-09-22 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A THOROUGH INTRODUCTION TO ENTROPY THEORY AND ITS APPLICATIONS IN HYDROLOGIC SCIENCE AND ENGINEERING This comprehensive volume addresses basic concepts of entropy theory from a hydrologic engineering perspective. The application of these concepts to a wide range of hydrologic engineering problems is discussed in detail. The book is divided into sections--preliminaries, rainfall and evapotranspiration, subsurface flow, surface flow, and environmental considerations. Helpful equations, solutions, tables, and diagrams are included throughout this practical resource. Entropy Theory in Hydrologic Science and Engineering covers: Introduction to entropy theory Maximum entropy production principle Performance measures Morphological analysis Evaluation and design of sampling and measurement networks Precipitation variability Rainfall frequency distributions Evaluation of precipitation forecasting schemes Assessment of potential water resources availability Evaporation Infiltration Soil moisture Groundwater flow Rainfall-runoff modeling Streamflow simulation Hydrologic frequency analysis Streamflow forecasting River flow regime classification Sediment yield Eco-index