Fixed Point Theory in Probabilistic Metric Spaces, O. Hadzic; E. Pap

Автор: Koller Daphne, Friedman Nir
Название: Probabilistic Graphical Models: Principles and Techniques
ISBN: 0262013193 ISBN-13(EAN): 9780262013192
Издательство: MIT Press
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Описание:

A general framework for constructing and using probabilistic models of complex systems that would enable a computer to use available information for making decisions.

Most tasks require a person or an automated system to reason -- to reach conclusions based on available information. The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning algorithms. These models can also be learned automatically from data, allowing the approach to be used in cases where manually constructing a model is difficult or even impossible. Because uncertainty is an inescapable aspect of most real-world applications, the book focuses on probabilistic models, which make the uncertainty explicit and provide models that are more faithful to reality.

Probabilistic Graphical Models discusses a variety of models, spanning Bayesian networks, undirected Markov networks, discrete and continuous models, and extensions to deal with dynamical systems and relational data. For each class of models, the text describes the three fundamental cornerstones: representation, inference, and learning, presenting both basic concepts and advanced techniques. Finally, the book considers the use of the proposed framework for causal reasoning and decision making under uncertainty. The main text in each chapter provides the detailed technical development of the key ideas. Most chapters also include boxes with additional material: skill boxes, which describe techniques; case study boxes, which discuss empirical cases related to the approach described in the text, including applications in computer vision, robotics, natural language understanding, and computational biology; and concept boxes, which present significant concepts drawn from the material in the chapter. Instructors (and readers) can group chapters in various combinations, from core topics to more technically advanced material, to suit their particular needs.

Автор: Bass
Название: Probabilistic Techniques in Analysis
ISBN: 0387943870 ISBN-13(EAN): 9780387943879
Издательство: Springer
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Описание: Exploring the use of techniques drawn from probability research to tackle problems in mathematical analysis, this study includes discussion of the construction of the Martin boundary, Dahlberg`s Theorem, probabilistic proofs of the boundary Harnack principle, and much more.

Автор: Tim Bedford
Название: Probabilistic Risk Analysis
ISBN: 0521773202 ISBN-13(EAN): 9780521773201
Издательство: Cambridge Academ
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Описание: Drawing on extensive experience, the authors focus on the conceptual and mathematical foundations underlying the quantification, interpretation and management of risk. They cover standard topics as well as important new subjects such as the use of expert judgement and uncertainty propagation. The relationship with decision making is highlighted.

Название: Probabilistic Theory of Pattern Recognition
ISBN: 146126877X ISBN-13(EAN): 9781461268772
Издательство: Springer
Цена: 12577.00 р.
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Описание: Pattern recognition presents one of the most significant challenges for scientists and engineers, and many different approaches have been proposed. The aim of this book is to provide a self-contained account of probabilistic analysis of these approaches. The book includes a discussion of distance measures, nonparametric methods based on kernels or nearest neighbors, Vapnik-Chervonenkis theory, epsilon entropy, parametric classification, error estimation, free classifiers, and neural networks. Wherever possible, distribution-free properties and inequalities are derived. A substantial portion of the results or the analysis is new. Over 430 problems and exercises complement the material.

Автор: Ren? Carmona; Fran?ois Delarue
Название: Probabilistic Theory of Mean Field Games with Applications II
ISBN: 3319564358 ISBN-13(EAN): 9783319564357
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.

Автор: Ren? Carmona; Fran?ois Delarue
Название: Probabilistic Theory of Mean Field Games with Applications I
ISBN: 3319564374 ISBN-13(EAN): 9783319564371
Издательство: Springer
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Цена: 19496.00 р.
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Описание: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.

Автор: Poul Henrik Damgaard; H. H?ffel; A. Rosenblum
Название: Probabilistic Methods in Quantum Field Theory and Quantum Gravity
ISBN: 1461366860 ISBN-13(EAN): 9781461366867
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of a NATO ARW held in Cargese, France, August 21-27, 1989