Multivariate Interpolation of Wind Field Based on Gaussian Process Regression
The resolution of the products of numerical weather prediction is limited by the resolution of numerical models and computing resources, which can be improved accurately by a well-chosen interpolation algorithm.
Miao Feng +5 more
doaj +1 more source
Shepard’s method of “metric interpolation” to bivariate and multivariate interpolation [PDF]
Shepard developed a scheme for interpolation to arbitrarily spaced discrete bivariate data. This scheme provides an explicit global representation for an interpolant which satisfies a maximum principle and which reproduces constant functions. The interpolation method is basically an inverse distance formula which is generalized to any Euclidean metric.
Gordon, William J., Wixom, James A.
openaire +1 more source
Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
doaj +1 more source
Multivariate “Bayesian” regression via a shared component model has gained popularity in recent years, particularly in modeling and mapping the risks associated with multiple diseases.
I. Gede Nyoman Mindra Jaya +5 more
doaj +1 more source
Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions
Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated.
Adam Brus +2 more
doaj +1 more source
On the Singularity of Multivariate Hermite Interpolation of Total Degree
We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3 ...
Zhongyong Hu +2 more
doaj +1 more source
Multiple general sigmoids based Banach space valued neural network multivariate approximation
Here we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N},\) \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
doaj +1 more source
On the singularity of multivariate Hermite interpolation
In this paper we study the singularity of multivariate Hermite interpolation of type total degree. We present a method to judge the singularity of the interpolation scheme considered and by the method to be developed, we show that all Hermite interpolation of type total degree on $m=d+k$ points in $\R^d$ is singular if $d\geq 2k$. And then we solve the
Zhaoliang Meng, Zhongxuan Luo
openaire +2 more sources
Reconfigurable Hardware Implementation of a Multivariate Polynomial Interpolation Algorithm
Multivariate polynomial interpolation is a key computation in many areas of science and engineering and, in our case, is crucial for the solution of the reverse engineering of genetic networks modeled by finite fields.
Rafael A. Arce-Nazario +2 more
doaj +1 more source
An Improved Model for Kernel Density Estimation Based on Quadtree and Quasi-Interpolation
There are three main problems for classical kernel density estimation in its application: boundary problem, over-smoothing problem of high (low)-density region and low-efficiency problem of large samples.
Jiecheng Wang, Yantong Liu, Jincai Chang
doaj +1 more source

