Probabilistic Conditional Independence Structures

Milan Studeny (Autor)

Buch | Hardcover

285 Seiten

2005 | 2005 ed.
Springer London Ltd (Verlag)
9781852338916 (ISBN)

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Probabilistic Conditional Independence Structures provides the mathematical description of probabilistic conditional independence structures;

The monograph presents the methods of structural imsets and supermodular functions, and deals with independence implication and equivalence of structural imsets.

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.

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

Erscheint lt. Verlag	7.1.2005
Reihe/Serie	Information Science and Statistics
Zusatzinfo	42 Illustrations, black and white; XIV, 285 p. 42 illus.
Verlagsort	England
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-13	9781852338916 / 9781852338916
Zustand	Neuware