copper films (250 nm) deposited on glass substrates, at different substrate temperatures. their optical properties were measured by ellipsometery (single wavelength of 589.3 nm) and spectrophotometery in the spectral range of 200–2600 nm. kramers kronig method was used for the analysis of the reflectivity curves of cu films to obtain the optical constants of the films, while ellipsometery measu...

We propose a dimension reduction technique for Bayesian inverse problems with nonlinear forward operators, non-Gaussian priors, and observation noise. The likelihood function is approximated by ridge function, i.e., map which depends nontrivially only on few linear combinations of the parameters. build this approximation minimizing an upper bound Kullback–Leibler divergence between posterior di...

A fundamental variance reduction technique for Monte Carlo integration in the framework of integro-approximation problems is presented. Using the method of dependent tests a successive hierarchical function approximation algorithm is developed, which captures discontinuities and exploits smoothness in the target function. The general mathematical scheme and its highly efficient implementation a...

The moving least-square technique is used to construct shape function in the Element Free Galerkin Method at present, but sometimes the algebra equations system obtained from the moving least-square approximation is ill-conditioned and the shape function needs large quantity of inverse operation. In this paper, the weighted orthogonal functions are used as basis ones, the application in the cal...

In this phase of the attempt to advance finite dimensional algebraic function approximation technique in eigenvalue problems of lossless metallic guides filled with anisotropic and/or inhomogeneous media, to exact analysis in infinite dimensions, it is seen that the problem in infinite dimensions, can be reduced to finite dimensions, by virtue of a result in perturbation theory. Furthermore, it...

Various problems of combinatorial optimization and permutation can be solved with neural network optimization. The problem of estimating the software reliability can be solved with the optimization of failed components to its minimum value. Various solutions of the problem of estimating the software reliability have been given. These solutions are exact and heuristic, but all the exact approach...

We study convex domino towers using a classic dissection technique on polyominoes to find the generating function and an asymptotic approximation.

In this paper, we propose a new model-order reduction technique for linear dynamic systems. The idea behind this technique is to transform the dynamic system function from the s-domain into the z-domain via the bilinear transformation, then use Prony’s [1, 2] or Shank’s [3] least-squares approximation methods instead of the commonly employed Padé approximation method, and finally transform the ...

The potential function of Lippincott and Schroeder for linear hydrogen bond has been re-examined and extended to nonlinear hydrogen bond. The parameters originally introduced to the potential function by Lippincott and Schroeder have been determined from the structural parameters such as 0.. .Odistance 0-H bond distance, H.. .O distance and HOO angle. Thevalidity of harmonic oscillator appr...

We show how to use a variational approximation to the logistic function to perform approximate inference in Bayesian networks containing discrete nodes with continuous parents. Essentially, we convert the logistic function to a Gaussian, which facilitates exact inference, and then iteratively adjust the variational parameters to improve the quality of the approximation. We demonstrate experimen...