A Note on Lando’s Formula and Conditional Independence∗

Propositional Independence Conditional independence

Independence – the study of what is relevant to a given problem of reasoning – is an important AI topic. In this paper, we investigate several notions of conditional independence in propositional logic: Darwiche and Pearl’s conditional independence, and two more restricted forms of it, called strong conditional independence and perfect conditional independence. Many characterizations and proper...

Conditional independence in propositional logic

Independence—the study of what is relevant to a given problem of reasoning—is an important AI topic. In this paper, we investigate several notions of conditional independence in propositional logic: Darwiche and Pearl’s conditional independence, and some more restricted forms of it. Many characterizations and properties of these independence relations are provided. We show them related to many ...

A note on nonsymmetric independence models

In probability and statistics graphs are used to describe conditional independence structures (or analogously dependence/association structures) among the variables. Actually, there are three main classic approaches based on undirected graphs [10], directed acyclic graphs [11], or chain graphs [12]. These graphical structures obey graphoid properties (i.e. symmetry, decomposition, weak union, c...

A Note on Weighted Composition Operators on L^p-Spaces

Fuzzy Independence and Extended Conditional Probability

In many applications, the use of Bayesian probability theory is problematical. Information needed to feasibility calculate is unavailable. There are different method-ologies for dealing with this problem, e.g., maximal entropy and Dempster-Shafer Theory. If one can make independence assumptions, many of the problems disappear, and in fact, this is often the method of choice even when it is obvi...