Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Algorithmic algebra
Subset Dependencies and a Completeness Result for a Subclass of Embedded Multivalued Dependencies
Journal of the ACM (JACM)
Probabilistic Networks and Expert Systems
Probabilistic Networks and Expert Systems
Conditional independence structures examined via minors
Annals of Mathematics and Artificial Intelligence
On Stochastic Conditional Independence: the Problems of Characterization and Description
Annals of Mathematics and Artificial Intelligence
Conditional Independences among Four Random Variables III: Final Conclusion
Combinatorics, Probability and Computing
A First Course in Information Theory (Information Technology: Transmission, Processing and Storage)
A First Course in Information Theory (Information Technology: Transmission, Processing and Storage)
Quantifier elimination for statistical problems
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
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Inference among the conditional independences in nondegenerate Gaussian vectors is studied by algebraic techniques. A general method to prove implications involving the conditional independences is presented. The method relies on computations of a Groebner basis. Examples of the implications are discussed.