In this paper, we discuss the problem of constructing designs in order to maximize the accuracy 9 of nonparametric curve estimation in the possible presence of heteroscedastic errors. Our approach is to exploit the 3exibility of wavelet approximations to approximate the unknown response 11 curve by its wavelet expansion thereby eliminating the mathematical di5culty associated with the unknown s...

Protein function prediction is the important problem in modern biology. In this paper, the un-normalized, symmetric normalized, and random walk graph Laplacian based semi-supervised learning methods will be applied to the integrated network combined from multiple networks to predict the functions of all yeast proteins in these multiple networks. These multiple networks are network created from ...

The present investigation deals with the propagation of waves in a micropolar transversely isotropic layer. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation were also obtained. Finally, the numerical solution was carried out for aluminium epoxy material and the dispersion curv...

We have proposed a novel way of symmetric encryption utilizing interleaving salting, Binary Tree traversal, and an Artificial Neural Network in sequential manner. presented the use as invertible(reversible) mathematical function so that decryption encrypted output may be possible. Knowledge pipeline, salt, neural network weights is required for decryption. As same set values decryption, our app...

The head-direction (HD) cells found in the limbic system in freely mov ing rats represent the instantaneous head direction of the animal in the horizontal plane regardless of the location of the animal. The internal direction represented by these cells uses both self-motion information for inertially based updating and familiar visual landmarks for calibration. Here, a model of the dynamics of ...

Abstract In this paper, we studied estimators based on an interval shrinkage with equal weights point for all individual target points ¯ θ ∈ ( 0 , 1 ) exponentially distributed observations in the presence of outliers drawn from a uniform distribution. Estimators obtained both and were compared, showing that via method perform better. Symmetric asymmetric loss functions also used to calculate e...

By employing Pauli measurements, we present some nonlinear steering criteria applicable for arbitrary two-qubit quantum systems and optimized ones symmetric states. These provide sufficient conditions to witness steering, which can recover the previous elegant results well-known Compared with existing linear criterion entropic criterion, ours certify more steerable states without selecting meas...

As one of the applications of Grover search, an exact quantum algorithm for the symmetric weight decision problem of a Boolean function has been proposed recently. Although the proposed method shows a quadratic speedup over the classical approach, it only applies to the symmetric case of a Boolean function whose weight is one of the pair {0 < w1 < w2 < 1, w1 + w2 = 1}. In this article, we gener...

We study generalized bootstrap confidence regions for the mean of a random vector whose coordinates have an unknown dependency structure. The random vector is supposed to be either Gaussian or to have a symmetric and bounded distribution. The dimensionality of the vector can possibly be much larger than the number of observations and we focus on a nonasymptotic control of the confidence level, ...

Bhargava proved a formula for counting, with certain weights, degree n étale extensions of a local field, or equivalently, local Galois representations to Sn. This formula is motivation for his conjectures about the density of discriminants of Sn-number fields. We prove there are analogous “mass formulas” that count local Galois representations to any group that can be formed from symmetric gro...