A Mathematical Theory of Evidence

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Publisher : Princeton University Press
ISBN 13 : 0691214697
Total Pages : pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis A Mathematical Theory of Evidence by : Glenn Shafer

Download or read book A Mathematical Theory of Evidence written by Glenn Shafer and published by Princeton University Press. This book was released on 2020-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental. The book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions. This rule, together with the idea of "weights of evidence," leads to both an extensive new theory and a better understanding of the Bayesian theory. The book concludes with a brief treatment of statistical inference and a discussion of the limitations of epistemic probability. Appendices contain mathematical proofs, which are relatively elementary and seldom depend on mathematics more advanced that the binomial theorem.

Classic Works of the Dempster-Shafer Theory of Belief Functions

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Author :
Publisher : Springer
ISBN 13 : 354044792X
Total Pages : 813 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Classic Works of the Dempster-Shafer Theory of Belief Functions by : Ronald R. Yager

Download or read book Classic Works of the Dempster-Shafer Theory of Belief Functions written by Ronald R. Yager and published by Springer. This book was released on 2008-01-22 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.

Combination of Evidence in Dempster-Shafer Theory

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Combination of Evidence in Dempster-Shafer Theory by : Kari Sentz

Download or read book Combination of Evidence in Dempster-Shafer Theory written by Kari Sentz and published by . This book was released on 2002 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dempster-Shafer theory offers an alternative to traditional probabilistic theory for the mathematical representation of uncertainty. The significant innovation of this framework is that it allows for the allocation of a probability mass to sets or intervals. Dempster-Shafer theory does not require an assumption regarding the probability of the individual constituents of the set or interval. This is a potentially valuable tool for the evaluation of risk and reliability in engineering applications when it is not possible to obtain a precise measurement from experiments, or when knowledge is obtained from expert elicitation. An important aspect of this theory is the combination of evidence obtained from multiple sources and the modeling of conflict between them. This report surveys a number of possible combination rules for Dempster-Shafer structures and provides examples of the implementation of these rules for discrete and interval-valued data.

On the belief universal gravitation (BUG)

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)

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Book Synopsis On the belief universal gravitation (BUG) by : Xiangjun Mi

Download or read book On the belief universal gravitation (BUG) written by Xiangjun Mi and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

Belief Functions: Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642294618
Total Pages : 442 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Belief Functions: Theory and Applications by : Thierry Denoeux

Download or read book Belief Functions: Theory and Applications written by Thierry Denoeux and published by Springer Science & Business Media. This book was released on 2012-04-26 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of belief functions, also known as evidence theory or Dempster-Shafer theory, was first introduced by Arthur P. Dempster in the context of statistical inference, and was later developed by Glenn Shafer as a general framework for modeling epistemic uncertainty. These early contributions have been the starting points of many important developments, including the Transferable Belief Model and the Theory of Hints. The theory of belief functions is now well established as a general framework for reasoning with uncertainty, and has well understood connections to other frameworks such as probability, possibility and imprecise probability theories. This volume contains the proceedings of the 2nd International Conference on Belief Functions that was held in Compiègne, France on 9-11 May 2012. It gathers 51 contributions describing recent developments both on theoretical issues (including approximation methods, combination rules, continuous belief functions, graphical models and independence concepts) and applications in various areas including classification, image processing, statistics and intelligent vehicles.

Formal Concept Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642598307
Total Pages : 289 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Formal Concept Analysis by : Bernhard Ganter

Download or read book Formal Concept Analysis written by Bernhard Ganter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first textbook on formal concept analysis gives a systematic presentation of the mathematical foundations and their relations to applications in computer science, especially in data analysis and knowledge processing. Above all, it presents graphical methods for representing conceptual systems that have proved themselves in communicating knowledge. The mathematical foundations are treated thoroughly and are illuminated by means of numerous examples, making the basic theory readily accessible in compact form.

Subjective Logic

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Publisher : Springer
ISBN 13 : 3319423371
Total Pages : 355 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Subjective Logic by : Audun Jøsang

Download or read book Subjective Logic written by Audun Jøsang and published by Springer. This book was released on 2016-10-27 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of subjective logic and all its operations. The author developed the approach, and in this book he first explains subjective opinions, opinion representation, and decision-making under vagueness and uncertainty, and he then offers a full definition of subjective logic, harmonising the key notations and formalisms, concluding with chapters on trust networks and subjective Bayesian networks, which when combined form general subjective networks. The author shows how real-world situations can be realistically modelled with regard to how situations are perceived, with conclusions that more correctly reflect the ignorance and uncertainties that result from partially uncertain input arguments. The book will help researchers and practitioners to advance, improve and apply subjective logic to build powerful artificial reasoning models and tools for solving real-world problems. A good grounding in discrete mathematics is a prerequisite.

Uncertainty-Based Information

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Publisher : Springer Science & Business Media
ISBN 13 : 9783790812428
Total Pages : 196 pages
Book Rating : 4.8/5 (124 download)

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Book Synopsis Uncertainty-Based Information by : George Klir

Download or read book Uncertainty-Based Information written by George Klir and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information is precious. It reduces our uncertainty in making decisions. Knowledge about the outcome of an uncertain event gives the possessor an advantage. It changes the course of lives, nations, and history itself. Information is the food of Maxwell's demon. His power comes from know ing which particles are hot and which particles are cold. His existence was paradoxical to classical physics and only the realization that information too was a source of power led to his taming. Information has recently become a commodity, traded and sold like or ange juice or hog bellies. Colleges give degrees in information science and information management. Technology of the computer age has provided access to information in overwhelming quantity. Information has become something worth studying in its own right. The purpose of this volume is to introduce key developments and results in the area of generalized information theory, a theory that deals with uncertainty-based information within mathematical frameworks that are broader than classical set theory and probability theory. The volume is organized as follows.

Probabilistic Reasoning in Intelligent Systems

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Publisher : Elsevier
ISBN 13 : 0080514898
Total Pages : 573 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Probabilistic Reasoning in Intelligent Systems by : Judea Pearl

Download or read book Probabilistic Reasoning in Intelligent Systems written by Judea Pearl and published by Elsevier. This book was released on 2014-06-28 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic Reasoning in Intelligent Systems is a complete and accessible account of the theoretical foundations and computational methods that underlie plausible reasoning under uncertainty. The author provides a coherent explication of probability as a language for reasoning with partial belief and offers a unifying perspective on other AI approaches to uncertainty, such as the Dempster-Shafer formalism, truth maintenance systems, and nonmonotonic logic. The author distinguishes syntactic and semantic approaches to uncertainty--and offers techniques, based on belief networks, that provide a mechanism for making semantics-based systems operational. Specifically, network-propagation techniques serve as a mechanism for combining the theoretical coherence of probability theory with modern demands of reasoning-systems technology: modular declarative inputs, conceptually meaningful inferences, and parallel distributed computation. Application areas include diagnosis, forecasting, image interpretation, multi-sensor fusion, decision support systems, plan recognition, planning, speech recognition--in short, almost every task requiring that conclusions be drawn from uncertain clues and incomplete information. Probabilistic Reasoning in Intelligent Systems will be of special interest to scholars and researchers in AI, decision theory, statistics, logic, philosophy, cognitive psychology, and the management sciences. Professionals in the areas of knowledge-based systems, operations research, engineering, and statistics will find theoretical and computational tools of immediate practical use. The book can also be used as an excellent text for graduate-level courses in AI, operations research, or applied probability.

Gabbay: Handbook of defeasible 3 vols.

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Publisher : Springer
ISBN 13 : 9780792351658
Total Pages : 477 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Gabbay: Handbook of defeasible 3 vols. by : Dov M. Gabbay

Download or read book Gabbay: Handbook of defeasible 3 vols. written by Dov M. Gabbay and published by Springer. This book was released on 1998-10-15 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Civil Engineering II

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Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038139467
Total Pages : 3183 pages
Book Rating : 4.0/5 (381 download)

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Book Synopsis Advances in Civil Engineering II by : Xiang Dong Zhang

Download or read book Advances in Civil Engineering II written by Xiang Dong Zhang and published by Trans Tech Publications Ltd. This book was released on 2012-12-13 with total page 3183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected, peer reviewed papers from the 2nd International Conference on Civil Engineering and Transportation (ICCET 2012), October 27-28, 2012, Guilin, China

Reliability Data Collection and Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9401124388
Total Pages : 323 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Reliability Data Collection and Analysis by : J. Flamm

Download or read book Reliability Data Collection and Analysis written by J. Flamm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ever increasing public demand and the setting-up of national and international legislation on safety assessment of potentially dangerous plants require that a correspondingly increased effort be devoted by regulatory bodies and industrial organisations to collect reliability data in order to produce safety analyses. Reliability data are also needed to assess availability of plants and services and to improve quality of production processes, in particular, to meet the needs of plant operators and/or designers regarding maintenance planning, production availability, etc. The need for an educational effort in the field of data acquisition and processing has been stressed within the framework of EuReDatA, an association of organisations operating reliability data banks. This association aims to promote data exchange and pooling of data between organisations and to encourage the adoption of compatible standards and basic definitions for a consistent exchange of reliability data. Such basic definitions are considered to be essential in order to improve data quality. To cover issues directly linked to the above areas ample space is devoted to the definition of failure events, common cause and human error data, feedback of operational and disturbance data, event data analysis, lifetime distributions, cumulative distribution functions, density functions, Bayesian inference methods, multivariate analysis, fuzzy sets and possibility theory, etc.

Multi-Sensor Information Fusion

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Publisher : MDPI
ISBN 13 : 3039283022
Total Pages : 602 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Multi-Sensor Information Fusion by : Xue-Bo Jin

Download or read book Multi-Sensor Information Fusion written by Xue-Bo Jin and published by MDPI. This book was released on 2020-03-23 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes papers from the section “Multisensor Information Fusion”, from Sensors between 2018 to 2019. It focuses on the latest research results of current multi-sensor fusion technologies and represents the latest research trends, including traditional information fusion technologies, estimation and filtering, and the latest research, artificial intelligence involving deep learning.

Maximum-Entropy and Bayesian Methods in Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027727930
Total Pages : 338 pages
Book Rating : 4.7/5 (279 download)

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Book Synopsis Maximum-Entropy and Bayesian Methods in Science and Engineering by : G. Erickson

Download or read book Maximum-Entropy and Bayesian Methods in Science and Engineering written by G. Erickson and published by Springer Science & Business Media. This book was released on 1988-08-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has its origin in the Fifth, Sixth and Seventh Workshops on and Bayesian Methods in Applied Statistics", held at "Maximum-Entropy the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987. It was anticipated that the proceedings of these workshops would be combined, so most of the papers were not collected until after the seventh workshop. Because all of the papers in this volume are on foundations, it is believed that the con tents of this volume will be of lasting interest to the Bayesian community. The workshop was organized to bring together researchers from different fields to critically examine maximum-entropy and Bayesian methods in science and engineering as well as other disciplines. Some of the papers were chosen specifically to kindle interest in new areas that may offer new tools or insight to the reader or to stimulate work on pressing problems that appear to be ideally suited to the maximum-entropy or Bayesian method. A few papers presented at the workshops are not included in these proceedings, but a number of additional papers not presented at the workshop are included. In particular, we are delighted to make available Professor E. T. Jaynes' unpublished Stanford University Microwave Laboratory Report No. 421 "How Does the Brain Do Plausible Reasoning?" (dated August 1957). This is a beautiful, detailed tutorial on the Cox-Polya-Jaynes approach to Bayesian probability theory and the maximum-entropy principle.

Game-Theoretic Foundations for Probability and Finance

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Publisher : John Wiley & Sons
ISBN 13 : 1118547934
Total Pages : 483 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Game-Theoretic Foundations for Probability and Finance by : Glenn Shafer

Download or read book Game-Theoretic Foundations for Probability and Finance written by Glenn Shafer and published by John Wiley & Sons. This book was released on 2019-03-21 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University

2016 19th International Conference on Information Fusion (FUSION)

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Publisher :
ISBN 13 : 9781509020126
Total Pages : pages
Book Rating : 4.0/5 (21 download)

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Book Synopsis 2016 19th International Conference on Information Fusion (FUSION) by : IEEE Staff

Download or read book 2016 19th International Conference on Information Fusion (FUSION) written by IEEE Staff and published by . This book was released on 2016-07-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Scope of the conference is to provide a medium to discuss advances and applications of fusion methodologies The conference will include contributions in the areas of fusion methodologies, theory and representation, algorithms and modeling and simulation

Readings in Uncertain Reasoning

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Author :
Publisher : Morgan Kaufmann Publishers
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Readings in Uncertain Reasoning by : Glenn Shafer

Download or read book Readings in Uncertain Reasoning written by Glenn Shafer and published by Morgan Kaufmann Publishers. This book was released on 1990 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing Methodologies -- Artificial Intelligence.