In this paper statistical and time series models are used for determining the random drift of a dynamically Tuned Gyroscope (DTG). This drift is compensated with optimal predictive transfer function. Also nonlinear neural-network and fuzzy-neural models are investigated for prediction and compensation of the random drift. Finally the different models are compared together and their advantages a...

We propose a wavelet based regression function estimator for the estimation of the regression function for a sequence of ?-missing random variables with a common one-dimensional probability density function. Some asymptotic properties of the proposed estimator based on block thresholding are investigated. It is found that the estimators achieve optimal minimax convergence rates over large class...

we propose a wavelet based regression function estimator for the estimation of the regression function for a sequence of ?-missing random variables with a common one-dimensional probability density function. some asymptotic properties of the proposed estimator based on block thresholding are investigated. it is found that the estimators achieve optimal minimax convergence rates over large class...

Definition: (See Goldreich, section 3.6.4.2 .) A function generator F with unbounded inputs associates with each n bit key k ∈ {0, 1} a function Fk : {0, 1}∗ → {0, 1}. We insist that Fk(x) be computable in time polynomial in the lengths of k and x. By pseudo-random for such a generator, we mean the obvious thing: the Distinguisher adversary D is given a function f : {0, 1}∗ → {0, 1} and can que...

This paper presents the basic scheme and the log-normal, log-gamma and lognegative inverted gamma scenarios to establish the Rényi function for infinite products of homogeneous isotropic random fields on R. We also present our scheme for a field on the spherical surface in R, which is related to the CMRB problem in Cosmology. In the presentation, we need to employ spherical harmonics for some c...

Definition: (See Goldreich, section 3.6.4.2 .) A function generator F with unbounded inputs associates with each n bit key k ∈ {0, 1} a function Fk : {0, 1}∗ → {0, 1}. We insist that Fk(x) be computable in time polynomial in the lengths of k and x. By pseudo-random for such a generator, we mean the obvious thing: the Distinguisher adversary D is given a function f : {0, 1}∗ → {0, 1} and can que...

The effective complex conductivity σeff of a two-component material can be conveniently expressed as an integral transformation of a spectral function. The spectral function depends only on the geometry of the material, and can be used to calculate σeff for any particular choice of component conductivities. This is a very useful feature if the component conductivities can be varied (by changing...

The asymptotic (small distortion) behavior of the rate-distortion function of an n-dimensional source vector with mixed distribution is derived. The source distribution is a nite mixture of components such that under each component distribution a certain subset of the coordinates have a discrete distribution while the remaining coordinates have a joint density. The expected number of coordinate...

This paper examines the function approximation properties of the "random neural-network model" or GNN. The output of the GNN can be computed from the firing probabilities of selected neurons. We consider a feedforward Bipolar GNN (BGNN) model which has both "positive and negative neurons" in the output layer, and prove that the BGNN is a universal function approximator. Specifically, for any f ...