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Tree and local computations in a cross–entropy minimization problem with marginal constraints

Francesco M. Malvestuto (2010)

Kybernetika

In probability theory, Bayesian statistics, artificial intelligence and database theory the minimum cross-entropy principle is often used to estimate a distribution with a given set P of marginal distributions under the proportionality assumption with respect to a given “prior” distribution q . Such an estimation problem admits a solution if and only if there exists an extension of P that is dominated by q . In this paper we consider the case that q is not given explicitly, but is specified as the...

Two-level stochastic control for a linear system with nonclassical information

Zdzisław Duda, Witold Brandys (2004)

International Journal of Applied Mathematics and Computer Science

A problem of control law design for large scale stochastic systems is discussed. Nonclassical information pattern is considered. A two-level hierarchical control structure with a coordinator on the upper level and local controllers on the lower level is proposed. A suboptimal algorithm with a partial decomposition of calculations and decentralized local control is obtained. A simple example is presented to illustrate the proposed approach.

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