## Download e-book for iPad: On Probabilistic Conditional Independence Structures by Milan Studený RNDr, DrSc (auth.), Michael Jordan, Jon

By Milan Studený RNDr, DrSc (auth.), Michael Jordan, Jon Kleinberg, Bernhard Schölkopf, Frank P. Kelly, Ian Witten (eds.)

ISBN-10: 1846280834

ISBN-13: 9781846280832

ISBN-10: 1852338911

ISBN-13: 9781852338916

Conditional independence is a subject that lies among records and synthetic intelligence. Probabilistic Conditional Independence buildings presents the mathematical description of probabilistic conditional independence constructions; the writer makes use of non-graphical equipment in their description, and takes an algebraic approach.

The monograph offers the tools of structural imsets and supermodular capabilities, and bargains with independence implication and equivalence of structural imsets. Motivation, mathematical foundations and components of program are incorporated, and a coarse evaluate of graphical tools can also be given. particularly, the writer has been cautious to take advantage of appropriate terminology, and provides the paintings as a way to be understood via either statisticians, and through researchers in synthetic intelligence. the required effortless mathematical notions are recalled in an appendix.

Probabilistic Conditional Independence buildings can be a invaluable new addition to the literature, and should curiosity utilized mathematicians, statisticians, informaticians, laptop scientists and probabilists with an curiosity in synthetic intelligence. The publication can also curiosity natural mathematicians as open difficulties are included.

Milan Studený is a senior study employee on the Academy of Sciences of the Czech Republic.