By Milan Studeny
Probabilistic Conditional Independence Structuresoffers the mathematical description of probabilistic conditional independence buildings; the writer makes use of non-graphical equipment in their description, and takes an algebraic strategy.
The monograph provides the equipment of structural imsets and supermodular capabilities, and bargains with independence implication and equivalence of structural imsets. Motivation, mathematical foundations and parts of program are incorporated, and a coarse assessment of graphical equipment is additionally given. specifically, the writer has been cautious to exploit compatible terminology, and offers the paintings with a purpose to be understood through either statisticians, and by way of researchers in synthetic intelligence. the required simple mathematical notions are recalled in an appendix.
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Probabilistic Conditional Independence Structures (Information Science and Statistics) by Milan Studeny