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
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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
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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
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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.
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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
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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
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Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts [PDF]
We compute minimal bases of solutions for a general interpolation problem, which encompasses Hermite-Pad\'e approximation and constrained multivariate interpolation, and has applications in coding theory and security.
Jeannerod, Claude-Pierre +3 more
core +4 more sources
Entropy and multivariable interpolation [PDF]
We define a new notion of entropy for operators on Fock spaces and positive definite multi-Toeplitz kernels on free semigroups. This is studied in connection with factorization theorems for (multi-Toeplitz, multi-analytic, etc.) operators on Fock spaces.
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
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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
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