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Author Studený, Milan.
Title Probabilistic conditional independence structures / Milan Studeny.
Imprint London : Springer, 2005.

View online
View online
Author Studený, Milan.
Series Information science and statistics
Information science and statistics.
Subject Statistics -- Graphic methods.
Distribution (Probability theory)
Artificial intelligence -- Mathematical methods.
Decision making -- Mathematical models.
Description 1 online resource (xiv, 285 pages) : illustrations.
Bibliography Note Includes bibliographical references (pages 263-271) and index.
Contents Basic Concepts -- Graphical Methods -- Structural Imsets: Fundamentals -- Description of Probabilistic Models -- Equivalence and Implication -- The Problem of Representative Choice -- Learning -- Open Problems.
Summary Conditional independence is a topic that lies between statistics and artificial intelligence. Probabilistic Conditional Independence Structures provides the mathematical description of probabilistic conditional independence structures; the author uses non-graphical methods of their description, and takes an algebraic approach. The monograph presents the methods of structural imsets and supermodular functions, and deals with independence implication and equivalence of structural imsets. Motivation, mathematical foundations and areas of application are included, and a rough overview of graphical methods is also given. In particular, the author has been careful to use suitable terminology, and presents the work so that it will be understood by both statisticians, and by researchers in artificial intelligence. The necessary elementary mathematical notions are recalled in an appendix. Probabilistic Conditional Independence Structures will be a valuable new addition to the literature, and will interest applied mathematicians, statisticians, informaticians, computer scientists and probabilists with an interest in artificial intelligence. The book may also interest pure mathematicians as open problems are included. Milan Studeny is a senior research worker at the Academy of Sciences of the Czech Republic.
ISBN 1852338911 (alk. paper)
9781852338916 (alk. paper)
OCLC # 262680190
Additional Format Print version: Studeny, Milan. Probabilistic conditional independence structures. London : Springer, 2005 1852338911 9781852338916 (DLC) 2004059834 (OCoLC)56729673

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