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Gaussian mixtures are used to approximate general probability density functions. In fusion problems, the weighted geometric mean of densities exploits density powers. Since the operation of exponentiation of Gaussian mixtures is not closed, the problem of approximating the mixture powers arises. This paper proposes and inspects several such approximations. The first is based on a limit case, the second...
In this paper, we address the problem of probability mass computation of a multivariate Gaussian contained within a polytope. This computation requires an evaluation of a multivariate definite integral of the Gaussian, whose solution is not tractable for higher dimensions in a reasonable amount of time. Thus, research concentrates on the derivation of approximate but sufficiently fast computation...
In this paper, we study the sensor subset selection problem with the determinant of the (Bayesian) Fisher information matrix (FIM) as the metric of estimation accuracy. As a combinatorial optimization problem, we analyze two well-known upper bounds for this problem: (i) the Lagrangian bound and (ii) the continuous bound. We show that the determinant of the FIM is a supermodular function from which...
The dramatic increase in leakage current, coupled with the swell in process variability in nano-scaled CMOS technologies, has become a major issue for future IC design. Moreover, due to the spread of leakage power values, leakage variability cannot be neglected anymore. In this work an accurate analytic estimation and modeling methodology has been developed for logic gates leakage under statistical...
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