Entropy Analysis

Author : Nobuoki Eshima
Publisher : Springer Nature
Page : 263 pages
File Size : 53,6 Mb
Release : 2020-01-21
Category : Mathematics
ISBN : 9789811525520

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Statistical Data Analysis and Entropy by Nobuoki Eshima Pdf

This book reconsiders statistical methods from the point of view of entropy, and introduces entropy-based approaches for data analysis. Further, it interprets basic statistical methods, such as the chi-square statistic, t-statistic, F-statistic and the maximum likelihood estimation in the context of entropy. In terms of categorical data analysis, the book discusses the entropy correlation coefficient (ECC) and the entropy coefficient of determination (ECD) for measuring association and/or predictive powers in association models, and generalized linear models (GLMs). Through association and GLM frameworks, it also describes ECC and ECD in correlation and regression analyses for continuous random variables. In multivariate statistical analysis, canonical correlation analysis, T2-statistic, and discriminant analysis are discussed in terms of entropy. Moreover, the book explores the efficiency of test procedures in statistical tests of hypotheses using entropy. Lastly, it presents an entropy-based path analysis for structural GLMs, which is applied in factor analysis and latent structure models. Entropy is an important concept for dealing with the uncertainty of systems of random variables and can be applied in statistical methodologies. This book motivates readers, especially young researchers, to address the challenge of new approaches to statistical data analysis and behavior-metric studies.

Author : Fivos Papadimitriou
Publisher : Springer Nature
Page : 153 pages
File Size : 46,5 Mb
Release : 2022-02-03
Category : Social Science
ISBN : 9783658355968

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Spatial Entropy and Landscape Analysis by Fivos Papadimitriou Pdf

This is the first book on spatial entropy in the scientific literature. It links spatial entropy with landscape analysis, landscape diversity and geo-information. It gives all the essential tools that a researcher needs in order to study the spatial entropy of physical as well as artificial landscapes (created with artificial life, swarm intelligence etc). This book explores the fascinating world of the interplay between spatial entropy, spatial information, self-organization and emergence and gives geographers and landscape scientists several alternative mathematical methods to study them, i.e. Shannon's formula, measures from non-extensive thermodynamics, from directional statistics and network theory. An essential book for researchers in landscape analysis and geo-informatics.

Author : Yousef Haseli
Publisher : Academic Press
Page : 214 pages
File Size : 42,6 Mb
Release : 2019-10-23
Category : Science
ISBN : 9780128191699

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Entropy Analysis in Thermal Engineering Systems by Yousef Haseli Pdf

Entropy Analysis in Thermal Engineering Systems is a thorough reference on the latest formulation and limitations of traditional entropy analysis. Yousef Haseli draws on his own experience in thermal engineering as well as the knowledge of other global experts to explain the definitions and concepts of entropy and the significance of the second law of thermodynamics. The design and operation of systems is also described, as well as an analysis of the relationship between entropy change and exergy destruction in heat conversion and transfer. The book investigates the performance of thermal systems and the applications of the entropy analysis in thermal engineering systems to allow the reader to make clearer design decisions to maximize the energy potential of a thermal system. Includes applications of entropy analysis methods in thermal power generation systems Explains the relationship between entropy change and exergy destruction in an energy conversion/transfer process Guides the reader to accurately utilize entropy methods for the analysis of system performance to improve efficiency

Author : Karsten Keller
Publisher : MDPI
Page : 260 pages
File Size : 48,8 Mb
Release : 2019-12-19
Category : Science
ISBN : 9783039280322

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Entropy Measures for Data Analysis by Karsten Keller Pdf

Entropies and entropy-like quantities play an increasing role in modern non-linear data analysis. Fields that benefit from this application range from biosignal analysis to econophysics and engineering. This issue is a collection of papers touching on different aspects of entropy measures in data analysis, as well as theoretical and computational analyses. The relevant topics include the difficulty to achieve adequate application of entropy measures and the acceptable parameter choices for those entropy measures, entropy-based coupling, and similarity analysis, along with the utilization of entropy measures as features in automatic learning and classification. Various real data applications are given.

Author : Norman C. Craig
Publisher : Wiley-VCH
Page : 232 pages
File Size : 49,7 Mb
Release : 1992
Category : Science
ISBN : UOM:39015025202683

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Entropy Analysis by Norman C. Craig Pdf

Author : Kenneth D. Bailey
Publisher : State University of New York Press
Page : 333 pages
File Size : 50,7 Mb
Release : 1990-01-23
Category : Social Science
ISBN : 9780791495612

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Social Entropy Theory by Kenneth D. Bailey Pdf

Social Entropy Theory illuminates the fundamental problems of societal analysis with a nonequilibrium approach, a new frame of reference built upon contemporary macrological principles, including general systems theory and information theory. Social entropy theory, using Shannon's H and the entropy concept, avoids the common (and often artificial) separation of theory and method in sociology. The hallmark of the volume is integration, as seen in the author's interdisciplinary discussions of equilibrium, entropy, and homeostasis. Unique features of the book are the introduction of the three-level model of social measurement, the theory of allocation, the concepts of global-mutable-immutable, discussion of order and power, and a large set of testable hypotheses.

Author : Norman C. Craig
Publisher : Unknown
Page : 208 pages
File Size : 55,8 Mb
Release : 1997-06
Category : Electronic
ISBN : 0471199419

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Entropy Analysis by Norman C. Craig Pdf

Author : Ana Jesus Lopez-Menendez,Rigoberto Pérez-Suárez
Publisher : MDPI
Page : 200 pages
File Size : 55,6 Mb
Release : 2020-12-29
Category : Technology & Engineering
ISBN : 9783039364879

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Entropy Application for Forecasting by Ana Jesus Lopez-Menendez,Rigoberto Pérez-Suárez Pdf

This book shows the potential of entropy and information theory in forecasting, including both theoretical developments and empirical applications. The contents cover a great diversity of topics, such as the aggregation and combination of individual forecasts, the comparison of forecasting performance, and the debate concerning the tradeoff between complexity and accuracy. Analyses of forecasting uncertainty, robustness, and inconsistency are also included, as are proposals for new forecasting approaches. The proposed methods encompass a variety of time series techniques (e.g., ARIMA, VAR, state space models) as well as econometric methods and machine learning algorithms. The empirical contents include both simulated experiments and real-world applications focusing on GDP, M4-Competition series, confidence and industrial trend surveys, and stock exchange composite indices, among others. In summary, this collection provides an engaging insight into entropy applications for forecasting, offering an interesting overview of the current situation and suggesting possibilities for further research in this field.

Author : Zhong-Yuan Zhang,Jianguo Liu,Xiao Fan Liu,Cuneyt Gurcan Akcora
Publisher : Frontiers Media SA
Page : 120 pages
File Size : 41,6 Mb
Release : 2022-08-19
Category : Science
ISBN : 9782889767991

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Cryptocurrency Transaction Analysis From a Network Perspective by Zhong-Yuan Zhang,Jianguo Liu,Xiao Fan Liu,Cuneyt Gurcan Akcora Pdf

Author : Amelia Carolina Sparavigna
Publisher : MDPI
Page : 456 pages
File Size : 44,9 Mb
Release : 2019-06-24
Category : Technology & Engineering
ISBN : 9783039210923

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Entropy in Image Analysis by Amelia Carolina Sparavigna Pdf

Image analysis is a fundamental task for extracting information from images acquired across a range of different devices. Since reliable quantitative results are requested, image analysis requires highly sophisticated numerical and analytical methods—particularly for applications in medicine, security, and remote sensing, where the results of the processing may consist of vitally important data. The contributions to this book provide a good overview of the most important demands and solutions concerning this research area. In particular, the reader will find image analysis applied for feature extraction, encryption and decryption of data, color segmentation, and in the support new technologies. In all the contributions, entropy plays a pivotal role.

Author : Adriano Polpo,Julio Stern,Francisco Louzada,Rafael Izbicki,Hellinton Takada
Publisher : Springer
Page : 304 pages
File Size : 46,7 Mb
Release : 2018-07-12
Category : Mathematics
ISBN : 9783319911434

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Bayesian Inference and Maximum Entropy Methods in Science and Engineering by Adriano Polpo,Julio Stern,Francisco Louzada,Rafael Izbicki,Hellinton Takada Pdf

These proceedings from the 37th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt 2017), held in São Carlos, Brazil, aim to expand the available research on Bayesian methods and promote their application in the scientific community. They gather research from scholars in many different fields who use inductive statistics methods and focus on the foundations of the Bayesian paradigm, their comparison to objectivistic or frequentist statistics counterparts, and their appropriate applications. Interest in the foundations of inductive statistics has been growing with the increasing availability of Bayesian methodological alternatives, and scientists now face much more difficult choices in finding the optimal methods to apply to their problems. By carefully examining and discussing the relevant foundations, the scientific community can avoid applying Bayesian methods on a merely ad hoc basis. For over 35 years, the MaxEnt workshops have explored the use of Bayesian and Maximum Entropy methods in scientific and engineering application contexts. The workshops welcome contributions on all aspects of probabilistic inference, including novel techniques and applications, and work that sheds new light on the foundations of inference. Areas of application in these workshops include astronomy and astrophysics, chemistry, communications theory, cosmology, climate studies, earth science, fluid mechanics, genetics, geophysics, machine learning, materials science, medical imaging, nanoscience, source separation, thermodynamics (equilibrium and non-equilibrium), particle physics, plasma physics, quantum mechanics, robotics, and the social sciences. Bayesian computational techniques such as Markov chain Monte Carlo sampling are also regular topics, as are approximate inferential methods. Foundational issues involving probability theory and information theory, as well as novel applications of inference to illuminate the foundations of physical theories, are also of keen interest.

Author : M Zuhair Nashed,Willi Freeden
Publisher : World Scientific
Page : 757 pages
File Size : 41,7 Mb
Release : 2022-08-30
Category : Science
ISBN : 9789811259418

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Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications by M Zuhair Nashed,Willi Freeden Pdf

Frontiers in Entropy Across the Disciplines presents a panorama of entropy emphasizing mathematical theory, physical and scientific significance, computational methods, and applications in mathematics, physics, statistics, engineering, biomedical signals, and signal processing.In the last century classical concepts of entropy were introduced in the areas of thermodynamics, information theory, probability theory, statistics, dynamical systems, and ergodic theory. During the past 50 years, dozens of new concepts of entropy have been introduced and studied in many disciplines. This volume captures significant developments in this arena. It features expository, review, and research papers by distinguished mathematicians and scientists from many disciplines. The level of mathematics ranges from intermediate level to research level. Each chapter contains a comprehensive list of references. Topics include entropy and society, entropy and time, Souriau entropy on symplectic model of statistical physics, new definitions of entropy, geometric theory of heat and information, maximum entropy in Bayesian networks, maximum entropy methods, entropy analysis of biomedical signals (review and comparison of methods), spectral entropy and its application to video coding and speech coding, a comprehensive review of 50 years of entropy in dynamics, a comprehensive review on entropy, entropy-like quantities and applications, topological entropy of multimodal maps, entropy production in complex systems, entropy production and convergence to equilibrium, reversibility and irreversibility in entropy, nonequilibrium entropy, index of various entropy, entropy and the greatest blunder ever.

Author : Francisco Bulnes
Publisher : BoD – Books on Demand
Page : 142 pages
File Size : 52,9 Mb
Release : 2020-09-09
Category : Mathematics
ISBN : 9781839625558

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Advances on Tensor Analysis and their Applications by Francisco Bulnes Pdf

This book brings together recent advances in tensor analysis and studies of its invariants such as twistors, spinors, kinematic tensors and others belonging to tensor algebras with extended structures to Lie algebras, Kac-Moody algebras, and enveloping algebras, among others. Chapters cover such topics as classical tensors and bilinear forms, tensors for exploring space–time, tensor applications in geometry and continuum media, and advanced topics in tensor analysis such as invariant theory, derived categories, hypercohomologies, k-modules, extensions of kinematic tensors, infinite dimensional operators, and more.

Author : Raquel J. Fonseca,Gerhard-Wilhelm Weber,João Telhada
Publisher : Springer
Page : 245 pages
File Size : 46,9 Mb
Release : 2015-12-22
Category : Business & Economics
ISBN : 9783319204307

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Computational Management Science by Raquel J. Fonseca,Gerhard-Wilhelm Weber,João Telhada Pdf

This volume contains contributions from the 11th International Conference on Management Science (CMS 2014), held at Lisbon, Portugal, on May 29-31, 2014. Its contents reflect the wide scope of Management Science, covering different theoretical aspects for a quite diverse set of applications. Computational Management Science provides a unique perspective in relevant decision-making processes by focusing on all its computational aspects. These include computational economics, finance and statistics; energy; scheduling; supply chains; design, analysis and applications of optimization algorithms; deterministic, dynamic, stochastic, robust and combinatorial optimization models; solution algorithms, learning and forecasting such as neural networks and genetic algorithms; models and tools of knowledge acquisition, such as data mining; and all other topics in management science with the emphasis on computational paradigms.

Author : John C. Sanford
Publisher : Unknown
Page : 0 pages
File Size : 43,5 Mb
Release : 2014
Category : Nature
ISBN : 0981631606

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Genetic Entropy by John C. Sanford Pdf

In this text, Sanford, a retired Cornell professor, shows that the "Primary Axiom"--the foundational evolutionary premise that life is merely the result of mutations and natural selection--is false. He strongly refutes the Darwinian concept that man is just the result of a random and pointless natural process.