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Node assignment problem in Bayesian networks

Joanna PolanskaDamian BorysAndrzej Polanski — 2006

International Journal of Applied Mathematics and Computer Science

This paper deals with the problem of searching for the best assignments of random variables to nodes in a Bayesian network (BN) with a given topology. Likelihood functions for the studied BNs are formulated, methods for their maximization are described and, finally, the results of a study concerning the reliability of revealing BNs' roles are reported. The results of BN node assignments can be applied to problems of the analysis of gene expression profiles.

System matrix computation for iterative reconstruction algorithms in SPECT based on direct measurements

Damian BorysKatarzyna Szczucka-BorysKamil Gorczewski — 2011

International Journal of Applied Mathematics and Computer Science

A method for system matrix calculation in the case of iterative reconstruction algorithms in SPECT was implemented and tested. Due to a complex mathematical description of the geometry of the detector set-up, we developed a method for system matrix computation that is based on direct measurements of the detector response. In this approach, the influence of the acquisition equipment on the image formation is measured directly. The objective was to obtain the best quality of reconstructed images with...

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