The generalization error bound of support vector machine (SVM) depends on the ratio of radius and margin, while standard SVM only considers the maximization of the margin but ignores the minimization of the radius. Several approaches have been proposed to integrate radius and margin for joint learning of feature transformation and SVM classifier. However, most of them either require the form of...

j=1 ‖fj‖ 1 n Lavg(BR) p = 2n n− 1 where f = ∑n j=1 fj , supp f̂j ⊂ N1/RΣj and Σj are hypersurfaces with normal vector almost parallel to xj-axis. Take p-th power on both sides and induction on scales. Tile BR using balls of radius R1/2. The averaged integral over BR on the left hand side is approximately the average over all balls of radius R1/2 in the tiling of the averaged integral over one ba...

Suppose that X has a k -variate spherically symmetric distribution with mean vector θ and identity covariance matrix. We present two spherical confidence sets for θ, both centred at a positive part Stein estimator T C S .X/. In the first, we obtain the radius by approximating the upper α-point of the sampling distribution of kT C S .X/ θk2 by the first two non-zero terms of its Taylor series ab...

We consider the problem of localizing a target taking the help of a set of anchor beacon nodes. A small number of beacon nodes are deployed at known locations in the area. The target can detect a beacon provided it happens to lie within the beacon’s transmission range. Thus, the target obtains a measurement vector containing the readings of the beacons: ‘1’ corresponding to a beacon if it is ab...

A Fourier descriptor is one of the best methods for describing object boundaries, but there are limitations in describing the boundary of rice kernels using traditional Fourier descriptors. An innovative approach was developed to describe rice kernel boundaries by improving a traditional Fourier descriptor. This radius Fourier descriptor (RFD) uses a radius set for rice kernel images as its bas...

The covering radius R of a code is the maximal distance of any vector from the code. This work gives a number of new results concerning t[ n, k], the minimal covering radius of any binary code of length n and dimension k. For example r[ n, 41 and t [ n, 51 are determined exactly, and reasonably tight bounds on t[ n, k] are obtained for any k when n is large. These results are found by using sev...

In this paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the  assumption of normality we establish common fixed point theorems for the generalized quasi-contractions  with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$  in the set...

If the conditions for the existence of a unique optimum overrelaxation factor are satisfied in a jury problem, then component suppression is a useful aid. In jury-marching forecast models, there is no unique optimum overrelaxation factor, because the error vector at acceptance is not dominated by the eigenvector corresponding to the spectral radius. The criterion for fewest iterations is not th...

Magnetic moment and radius of the nucleon are calculated in a nonlocal extension of the chiral linear σ−model. Properties of the nonlocal model under the vector and axial transformations are considered. The conserved electromagnetic and vector currents, and partially conserved axial vector current are obtained. In the calculation of the nucleon electromagnetic vertex the π− and σ−loop diagrams ...

ABSTRACT We investigate the properties of stars participating in double compact star merger events considering interacting model stable strange quark matter. matter making it compatible with recent astrophysical observations mass–radius and gravitational wave events. In this context, we consider modified MIT bag vector without self-interaction. find new upper bound on tidal deformability $1.4\,...