Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Artificial Intelligence
A new characterization of graphs based on interception relations
Journal of Graph Theory
Artificial Intelligence - Special issue on relevance
An Extended Relational Data Model For Probabilistic Reasoning
Journal of Intelligent Information Systems
Subset Dependencies and a Completeness Result for a Subclass of Embedded Multivalued Dependencies
Journal of the ACM (JACM)
Representation of irrelevance relations by annotated graphs
Fundamenta Informaticae
Probabilistic Networks and Expert Systems
Probabilistic Networks and Expert Systems
Local computation with valuations from a commutative semigroup
Annals of Mathematics and Artificial Intelligence
Conditional Independence in A Coherent Finite Setting
Annals of Mathematics and Artificial Intelligence
Formal Properties of Conditional Independence in Different Calculi of AI
ECSQARU '93 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Axioms for probability and belief-function proagation
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
Contextual weak independence in Bayesian networks
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
An alternative Markov property for chain graphs
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
On Stochastic Conditional Independence: the Problems of Characterization and Description
Annals of Mathematics and Artificial Intelligence
Graphoid properties of epistemic irrelevance and independence
Annals of Mathematics and Artificial Intelligence
Editorial: Imprecise probability perspectives on artificial intelligence
Annals of Mathematics and Artificial Intelligence
Conditional independence structure and its closure: Inferential rules and algorithms
International Journal of Approximate Reasoning
Exploiting independencies to compute semigraphoid and graphoid structures
International Journal of Approximate Reasoning
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We introduce an axiomatic definition of a mathematical structure that we term a iseparoid. We develop some general mathematical properties of separoids and related axiom systems, as well as connections with other mathematical structures, such as distributive lattices, Hilbert spaces, and graphs. And we show, by means of a detailed account of a number of models of the separoid axioms, how the concept of separoid unifies a variety of notions of ‘irrelevance’ arising out of different formalisms for representing uncertainty in Probability, Statistics, Artificial Intelligence, and other fields.