Paraconsistent Probabilistic Reasoning
DOWNLOAD
Download Paraconsistent Probabilistic Reasoning PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Paraconsistent Probabilistic Reasoning book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Paraconsistent Probabilistic Reasoning
DOWNLOAD
Author : Lionel Daniel
language : en
Publisher:
Release Date : 2010
Paraconsistent Probabilistic Reasoning written by Lionel Daniel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
If we envisage delegating critical decisions to an autonomous computer, we should not only endow it with common sense, but also formally verify that such a machine is programmed to safely react in every situation, notably when the situation is depicted with uncertainty. In this thesis, I deem an uncertain situation to be a possibly inconsistent probabilistic propositional knowledge base, which is a possibly unsatisfiable multiset of constraints on a probability distribution over a propositional language, where each constraint can be given a reliability level. The main problem is to infer one probabilistic distribution that best represents the real world, with respect to a given knowledge base. The reactions of the computer, previously programmed then verified, will be determined by that distribution, which is the probabilistic model of the real world. J.B. Paris et al stated a set of seven commonsensical principles that characterises the inference from consistent knowledge bases. Following their approach, I suggest adhering to further principles intended to define common sense when reasoning from an inconsistent knowledge base. My contribution is thus the first principled framework of paraconsistent probabilistic reasoning that comprises not only an inference process, which coincides with J.B. Paris's one when dealing with consistent knowledge bases, but also several measures of dissimilarity, inconsistency, incoherence, and precision. Besides, I show that such an inference process is a solution to a problem originating from voting theory, namely reaching a consensus among conflicting opinions about a probability distribution; such a distribution can also represent a distribution of a financial investment. To conclude, this study enhances our understanding of common sense when dealing with inconsistencies; injecting common sense into decision systems should make them more trustworthy.
Cognition And Chance
DOWNLOAD
Author : Raymond S. Nickerson
language : en
Publisher: Psychology Press
Release Date : 2004-06-24
Cognition And Chance written by Raymond S. Nickerson and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-24 with Business & Economics categories.
This book presents an overview of the necessary information needed to make educational assumptions about the statistical or probable characteristics of a situation. The book can be used as a supplemental text in courses on probability, logic, statistics,
Probabilistic Thinking
DOWNLOAD
Author : Egan J. Chernoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-05
Probabilistic Thinking written by Egan J. Chernoff 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 2013-12-05 with Education categories.
This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.
The Evidential Foundations Of Probabilistic Reasoning
DOWNLOAD
Author : David A. Schum
language : en
Publisher: Northwestern University Press
Release Date : 2001
The Evidential Foundations Of Probabilistic Reasoning written by David A. Schum and has been published by Northwestern University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with History categories.
In this work Schum develops a general theory of evidence as it is understood and applied across a broad range of disciplines and practical undertakings. He include insights from law, philosophy, logic, probability, semiotics, artificial intelligence, psychology and history.
Probability Logics
DOWNLOAD
Author : Zoran Ognjanović
language : en
Publisher: Springer
Release Date : 2016-10-24
Probability Logics written by Zoran Ognjanović and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-24 with Mathematics categories.
The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning. The authors' primary interest is mathematical techniques for infinitary probability logics used to obtain results about proof-theoretical and model-theoretical issues such as axiomatizations, completeness, compactness, and decidability, including solutions of some problems from the literature. An extensive bibliography is provided to point to related work, and this book may serve as a basis for further research projects, as a reference for researchers using probability logic, and also as a textbook for graduate courses in logic.
Insights From The Intersection Of Logic And Probabilistic Reasoning
DOWNLOAD
Author : Tal Friedman
language : en
Publisher:
Release Date : 2021
Insights From The Intersection Of Logic And Probabilistic Reasoning written by Tal Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Logic and uncertainty form two of the primary pillars of modern artificial intelligence. Seeking to draw insights about what can be gained by understanding both, we explore different contexts where both are crucial. First, we use logical circuits as our underlying machinery, developing a hybrid circuit sampling technique for approximate probabilistic inference, as well as an axiomatized method for enforcing logical constraints when learning a deep neural network. We then explore modifying probabilistic databases, incorporating schema level constraints to overcome lack of data, as well as demonstrating how and why to directly incorporate them with relational machine learning techniques for free efficient inference on well tuned models.
Non Axiomatic Logic
DOWNLOAD
Author : Pei Wang
language : en
Publisher: World Scientific
Release Date : 2013
Non Axiomatic Logic written by Pei Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.
This book provides a systematic and comprehensive description of Non-Axiomatic Logic, which is the result of the author''s research for about three decades.Non-Axiomatic Logic is designed to provide a uniform logical foundation for Artificial Intelligence, as well as an abstract description of the OC laws of thoughtOCO followed by the human mind. Different from OC mathematicalOCO logic, where the focus is the regularity required when demonstrating mathematical conclusions, Non-Axiomatic Logic is an attempt to return to the original aim of logic, that is, to formulate the regularity in actual human thinking. To achieve this goal, the logic is designed under the assumption that the system has insufficient knowledge and resources with respect to the problems to be solved, so that the OC logical conclusionsOCO are only valid with respect to the available knowledge and resources. Reasoning processes according to this logic covers cognitive functions like learning, planning, decision making, problem solving, This book is written for researchers and students in Artificial Intelligence and Cognitive Science, and can be used as a textbook for courses at graduate level, or upper-level undergraduate, on Non-Axiomatic Logic."
Probability Theory
DOWNLOAD
Author : E. T. Jaynes
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-10
Probability Theory written by E. T. Jaynes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-10 with Mathematics categories.
Index.
Nomic Probability And The Foundations Of Induction
DOWNLOAD
Author : John L. Pollock
language : en
Publisher: Oxford University Press
Release Date : 1990-02-22
Nomic Probability And The Foundations Of Induction written by John L. Pollock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-22 with Mathematics categories.
In this book Pollock deals with the subject of probabilistic reasoning, making general philosophical sense of objective probabilities and exploring their relationship to the problem of induction. He argues that probability is fundamental not only to physical science, but to induction, epistemology, the philosophy of science and much of the reasoning relevant to artificial intelligence. Pollock's main claim is that the fundamental notion of probability is nomic--that is, it involves the notion of natural law, valid across possible worlds. The various epistemic and statistical conceptions of probability, he demonstrates, are derived from this nomic notion. He goes on to provide a theory of statistical induction, an account of computational principles allowing some probabilities to be derived from others, an account of acceptance rules, and a theory of direct inference.
Truth Possibility And Probability
DOWNLOAD
Author : R. Chuaqui
language : en
Publisher: Elsevier
Release Date : 1991-06-20
Truth Possibility And Probability written by R. Chuaqui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-20 with Mathematics categories.
Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lead to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes.