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In this paper we analyze the problem of learning and updating of uncertainty in Dirichlet models, where updating refers to determining the conditional distribution of a single variable when some evidence is known. We first obtain the most general family of prior-posterior distributions which is conjugate to a Dirichlet likelihood and we identify those… (More)

In this paper we show how Bayesian network models can be used to perform a sensitivity analysis using symbolic, as opposed to numeric, computations. An example of damage assessment of concrete structures of buildings is used for illustrative purposes. Initially, normal or Gaussian Bayesian network models are described together with an algorithm for… (More)

The paper presents an efficient method for simulating the tails of a target variable Z = h(X) which depends on a set of ba-is guaranteed to be in the tail of Z. When this method is difficult to apply, an alternative method is proposed, which leads to a low rejection proportion of sample values, when compared with the Monte Carlo method. Both meth ods are… (More)

We can perform inference in Bayesian be lief networks by enumerating instantiations with high probability thus approximating the marginals. In this paper, we present a method for determining the fraction of in stantiations that has to be considered such that the absolute error in the marginals does not exceed a predefined value. The method is based on… (More)

This paper shows the complementary roles of mathematical and engineering points of view when dealing with truss analysis problems involving systems of linear equations and inequalities. After the compatibility condition and the mathematical structure of the general solution of a system of linear equations is discussed, the truss analysis problem is used to… (More)