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The application of generalised constraints to object-oriented database models.

Guy de Tré, Rita de Caluwe (2000)

Mathware and Soft Computing

A formal framework for a generalised object-oriented database model is presented, which is able to cope with fuzzy and uncertain information. This model is obtained as a generalisation of a crisp object-oriented database model, which is consistent with the ODMG de facto standard and is built upon an algebraic type system and a constraint system. Generalised constraints have been used to enforce integrity rules and to specify the formal semantics of the database model.

The sum-product algorithm: algebraic independence and computational aspects

Francesco M. Malvestuto (2013)

Kybernetika

The sum-product algorithm is a well-known procedure for marginalizing an “acyclic” product function whose range is the ground set of a commutative semiring. The algorithm is general enough to include as special cases several classical algorithms developed in information theory and probability theory. We present four results. First, using the sum-product algorithm we show that the variable sets involved in an acyclic factorization satisfy a relation that is a natural generalization of probability-theoretic...

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