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On Probabilistic Conditional Independence Structures [electronic resource] /by Milan Studený ; edited by Michael Jordan, Jon Kleinberg, Bernhard Schölkopf, Frank P. Kelly, Ian Witten.

by Studený, Milan [author.]; Jordan, Michael [editor.]; Kleinberg, Jon [editor.]; Schölkopf, Bernhard [editor.]; Kelly, Frank P [editor.]; Witten, Ian [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Information Science and Statistics: Publisher: London : Springer London, 2005.Description: XIV, 285 p. 42 illus. online resource.ISBN: 9781846280832.Subject(s): Computer science | Artificial intelligence | Statistics | Computer Science | Artificial Intelligence (incl. Robotics) | Statistics for Engineering, Physics, Computer Science, Chemistry & GeosciencesDDC classification: 006.3 Online resources: Click here to access online
Contents:
Basic Concepts -- Graphical Methods -- Structural Imsets: Fundamentals -- Description of Probabilistic Models -- Equivalence and Implication -- The Problem of Representative Choice -- Learning -- Open Problems.
In: Springer eBooksSummary: 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 Studený is a senior research worker at the Academy of Sciences of the Czech Republic.
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Item type Current location Call number Status Date due Barcode
TJ210.2-211.495 (Browse shelf) Available
Long Loan MAIN LIBRARY
Q334-342 (Browse shelf) Available

Basic Concepts -- Graphical Methods -- Structural Imsets: Fundamentals -- Description of Probabilistic Models -- Equivalence and Implication -- The Problem of Representative Choice -- Learning -- Open Problems.

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 Studený is a senior research worker at the Academy of Sciences of the Czech Republic.

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