Why Dempster S Fusion Rule Is Not A Generalization Of Bayes Fusion Rule
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Why Dempster S Fusion Rule Is Not A Generalization Of Bayes Fusion Rule
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Author : Jean Dezert
language : en
Publisher: Infinite Study
Release Date : 2012-10-01
Why Dempster S Fusion Rule Is Not A Generalization Of Bayes Fusion Rule written by Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-01 with Mathematics categories.
In this paper, we analyze Bayes fusion rule in details from a fusion standpoint, as well as the emblematic Dempster’s rule of combination introduced by Shafer in his Mathematical Theory of evidence based on belief functions. We propose a new interesting formulation of Bayes rule and point out some of its properties. A deep analysis of the compatibility of Dempster’s fusion rule with Bayes fusion rule is done. We show that Dempster’s rule is compatible with Bayes fusion rule only in the very particular case where the basic belief assignments (bba’s) to combine are Bayesian, and when the prior information is modeled either by a uniform probability measure, or by a vacuous bba. We show clearly that Dempster’s rule becomes incompatible with Bayes rule in the more general case where the prior is truly informative (not uniform, nor vacuous). Consequently, this paper proves that Dempster’s rule is not a generalization of Bayes fusion rule.
Why Dempster S Rule Doesn T Behave As Bayes Rule With Informative Priors
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Author : Jean Dezert
language : en
Publisher: Infinite Study
Release Date : 2013-03-01
Why Dempster S Rule Doesn T Behave As Bayes Rule With Informative Priors written by Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Mathematics categories.
In this paper, we analyze Bayes fusion rule in details from a fusion standpoint, as well as the emblematic Dempster’s rule of combination introduced by Shafer in his Mathematical Theory of evidence based on belief functions. We propose a new interesting formulation of Bayes rule and point out some of its properties. A deep analysis of the compatibility of Dempster’s fusion rule with Bayes fusion rule is done. Our analysis proves clearly that Dempster’s rule of combination does not behave as Bayes fusion rule in general, because these methods deal very differently with the prior information when it is really informative (not uniform). Only in the very particular case where the basic belief assignments to combine are Bayesian and when the prior information is uniform (or vacuous), Dempster’s rule remains consistent with Bayes fusion rule. In more general cases, Dempster’s rule is incompatible with Bayes rule and it is not a generalization of Bayes fusion rule.
Advances And Applications Of Dsmt For Information Fusion Vol Iv
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Author : Florentin Smarandache, Jean Dezert
language : en
Publisher: Infinite Study
Release Date : 2015-03-01
Advances And Applications Of Dsmt For Information Fusion Vol Iv written by Florentin Smarandache, Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-01 with categories.
The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions (see List of Articles published in this book, at the end of the volume) have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) ininternational conferences, seminars, workshops and journals.
Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 4
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2015-07-01
Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 4 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Mathematics categories.
The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) in international conferences, seminars, workshops and journals.
Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 5
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 5 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 (available at fs.unm.edu/DSmT-book4.pdf or www.onera.fr/sites/default/files/297/2015-DSmT-Book4.pdf) in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of combination with degree of intersection, coarsening techniques, interval calculus for PCR thanks to set inversion via interval analysis (SIVIA), rough set classifiers, canonical decomposition of dichotomous belief functions, fast PCR fusion, fast inter-criteria analysis with PCR, and improved PCR5 and PCR6 rules preserving the (quasi-)neutrality of (quasi-)vacuous belief assignment in the fusion of sources of evidence with their Matlab codes. Because more applications of DSmT have emerged in the past years since the apparition of the fourth book of DSmT in 2015, the second part of this volume is about selected applications of DSmT mainly in building change detection, object recognition, quality of data association in tracking, perception in robotics, risk assessment for torrent protection and multi-criteria decision-making, multi-modal image fusion, coarsening techniques, recommender system, levee characterization and assessment, human heading perception, trust assessment, robotics, biometrics, failure detection, GPS systems, inter-criteria analysis, group decision, human activity recognition, storm prediction, data association for autonomous vehicles, identification of maritime vessels, fusion of support vector machines (SVM), Silx-Furtif RUST code library for information fusion including PCR rules, and network for ship classification. Finally, the third part presents interesting contributions related to belief functions in general published or presented along the years since 2015. These contributions are related with decision-making under uncertainty, belief approximations, probability transformations, new distances between belief functions, non-classical multi-criteria decision-making problems with belief functions, generalization of Bayes theorem, image processing, data association, entropy and cross-entropy measures, fuzzy evidence numbers, negator of belief mass, human activity recognition, information fusion for breast cancer therapy, imbalanced data classification, and hybrid techniques mixing deep learning with belief functions as well.
Information Fusion And Analytics For Big Data And Iot
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Author : Eloi Bosse
language : en
Publisher: Artech House
Release Date : 2016-02-01
Information Fusion And Analytics For Big Data And Iot written by Eloi Bosse and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-01 with Computers categories.
The Internet of Things (IoT) and Big Data are hot topics in the world of intelligence operations and information gathering. This first-of-its-kind volume reveals the benefits of addressing these topics with the integration of Fusion of Information and Analytics Technologies (FIAT). The book explains how FIAT is materialized into decision support systems that are capable of supporting the prognosis, diagnosis, and prescriptive tasks within complex systems and organizations. This unique resource offers keen insight into how complex systems emerge from the interrelation of social and cognitive information, cyber and physical worlds, and the various models of decision-making and situational awareness. Practitioners also discover the central notions of analytics and information fusion. Moreover the book introduces propos such as integration through a FIAT computational model and applications at the systems level. This book concludes with a list of prospective research activities that can contribute towards the required FIAT integration for critical application domains such as: energy, health, transport and defense and security.
Dimensions Of Uncertainty In Communication Engineering
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Author : Ezio Biglieri
language : en
Publisher: Academic Press
Release Date : 2022-07-06
Dimensions Of Uncertainty In Communication Engineering written by Ezio Biglieri and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-06 with Computers categories.
Dimensions of Uncertainty in Communication Engineering is a comprehensive and self-contained introduction to the problems of nonaleatory uncertainty and the mathematical tools needed to solve them. The book gathers together tools derived from statistics, information theory, moment theory, interval analysis and probability boxes, dependence bounds, nonadditive measures, and Dempster–Shafer theory. While the book is mainly devoted to communication engineering, the techniques described are also of interest to other application areas, and commonalities to these are often alluded to through a number of references to books and research papers. This is an ideal supplementary book for courses in wireless communications, providing techniques for addressing epistemic uncertainty, as well as an important resource for researchers and industry engineers. Students and researchers in other fields such as statistics, financial mathematics, and transport theory will gain an overview and understanding on these methods relevant to their field. Uniquely brings together a variety of tools derived from statistics, information theory, moment theory, interval analysis and probability boxes, dependence bounds, nonadditive measures, and Dempster—Shafer theory Focuses on the essentials of various, wide-ranging methods with references to journal articles where more detail can be found if required Includes MIMO-related results throughout
Information Fusion Of Con Icting Input Data
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Author : Uwe Mönks
language : en
Publisher: Infinite Study
Release Date :
Information Fusion Of Con Icting Input Data written by Uwe Mönks and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Sensors, and also actuators or external sources such as databases, serve as data sources in order to realise condition monitoring of industrial applications or the acquisition of characteristic parameters like production speed or reject rate.
Tracking Object S Type Changes With Fuzzy Based Fusion Rule
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Author : Albena Tchamova
language : en
Publisher: Infinite Study
Release Date :
Tracking Object S Type Changes With Fuzzy Based Fusion Rule written by Albena Tchamova and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper the behavior of three combinational rules for temporal/ sequential attribute data fusion for target type estimation are analyzed. The comparative analysis is based on: Dempster’s fusion rule proposed in Dempster-Shafer Theory.
Machine Learning In Document Analysis And Recognition
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Author : Simone Marinai
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-10
Machine Learning In Document Analysis And Recognition written by Simone Marinai 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 2008-01-10 with Computers categories.
The objective of Document Analysis and Recognition (DAR) is to recognize the text and graphical components of a document and to extract information. This book is a collection of research papers and state-of-the-art reviews by leading researchers all over the world. It includes pointers to challenges and opportunities for future research directions. The main goal of the book is to identify good practices for the use of learning strategies in DAR.