This paper presents a Gaussian process model-based short-term electric load forecasting. The Gaussian process model is a nonparametric model and the output of the model has Gaussian distribution with mean and variance. The multiple Gaussian process models as every hour ahead predictors are used to forecast future electric load demands up to 24 hours ahead in accordance with the direct forecasti...

The application of the wavelet transform in image processing is most frequently based on a separable transform. Lines and columns in an image are treated independently and the basis functions are simply products of corresponding onedimensional functions. Such a method keeps simplicity in design and computation. In this paper, a new two-dimensional approach is proposed, which retains the simplic...

The time-strain separable Kaye–Bernstein–Kearsley–Zappas model (tssKBKZM) is a popular integral constitutive equation that used to the nonlinear response of materials using only their linear viscoelastic properties and damping function. In oscillatory shear, numerical evaluation tssKBKZM complicated by infinite domain integration, nature integrand. To avoid these problems, spectrally accurate m...

We present a separable expansion approximation method for Coulomblike potentials which is based on Schwinger variational principle and uses Coulomb-Sturmian functions as basis states. The new scheme provides faster convergence with respect to our formerly used non-variational approach. Both variational approaches and separable expansion schemes are extensively used in solving few-body problems....

We provide an analytical expression for optimal Lewenstein-Sanpera decomposition of Bell decomposable states by using semi-definite programming. Also using the KarushKuhn-Tucker optimization method, the minimum relative entropy of entanglement of Bell decomposable states has been evaluated and it is shown that the same separable Bell decomposable state lying at the boundary of convex set of sep...

This paper presents a fast matching pursuits algorithm. In addition to a fast implementation, the algorithm also allows the ef ic ient use of non-separable dictionary basis functions. The use of non-separable components allows basis functions which provide a better match t o diagonally orientated image features. In order to demonstrate the proposed method, a simple dictionary is developed and u...

This paper is continuation of the study of the 1-box pattern in permutations introduced previously by the authors. We derive a two-variable generating function for the distribution of this pattern on 132-avoiding permutations, and then study some of its coefficients providing a link to the Fibonacci numbers. We also find the number of separable permutations with two and three occurrences of the...