The simultaneous occurrence of conditional independences among subvectors of a regular Gaussian vector is examined. All configurations of the conditional independences within four jointly regular Gaussian variables are found and completely characterized in terms of implications involving conditional independence statements. The statements induced by the… (More)
The Zhang-Yeung unconditional inequality for Shannon entropies of discrete random variables can be extended to Gaussian variables. A necessary and sufficient condition for equality in the resulting inequality is presented.
The important task of generating the minimum number of sequential triangle strips (tristrips) for a given triangulated surface model is motivated by applications in computer graphics. This hard combinatorial optimization problem is reduced to the minimum energy problem in Hopfield nets by a linear-size construction. In particular, the classes of equivalent… (More)
This paper presents new results of our experimental research on string similarity measures on pricelists of computer components. The first results were already presented at the Eighth Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty in Třešť  in 2005.
conditional independence structures arising from various types of graphical models have been studied by many researchers, see e.g. [1, 3, 4, 5]. This contribution concentrates on graphical models consisting of regular Gaussian distributions specified by a simple undirected graph.