Results 31 to 40 of about 93,507 (297)

Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2023
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 interpolation [PDF]

open access: yesInteractive science, 2017
The paper deals with iterative interpolation methods in forms of similar recursive procedures defined by a sort of simple functions (interpolation basis) not necessarily real valued. These basic functions are kind of arbitrary type being defined just by wish and considerations of user.
openaire   +1 more source

Multiple general sigmoids based Banach space valued neural network multivariate approximation

open access: yesCubo, 2023
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

Regular polynomial interpolation and approximation of global solutions of linear partial differential equations [PDF]

open access: yes, 2007
We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of linear partial differential equations.
Kampen, Joerg
core   +4 more sources

An Improved Model for Kernel Density Estimation Based on Quadtree and Quasi-Interpolation

open access: yesMathematics, 2022
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

Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution

open access: yes, 2018
In this paper, a new reduction based interpolation algorithm for black-box multivariate polynomials over finite fields is given. The method is based on two main ingredients.
A Arnold   +17 more
core   +1 more source

Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts [PDF]

open access: yes, 2016
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

Multivariate interpolation

open access: yes, 2009
The aim of this work is to show how symbolic computation can be used to perform multivariate Lagrange, Hermite and Birkhoff interpolation and help us to build more realistic interpolating functions. After a theoretical introduction in which we analyze the complexity of the method we shall focus our attention on applications.
Jara, Pascual   +3 more
openaire   +2 more sources

Counterexample-Guided Polynomial Loop Invariant Generation by Lagrange Interpolation

open access: yes, 2015
We apply multivariate Lagrange interpolation to synthesize polynomial quantitative loop invariants for probabilistic programs. We reduce the computation of an quantitative loop invariant to solving constraints over program variables and unknown ...
A Chakarov   +23 more
core   +1 more source

Multivariate interval interpolation

open access: yesJournal of Computational and Applied Mathematics, 1978
AbstractThe problem of multivariate interval interpolation has been defined. Two algorithms for the computation of a multivariate interval interpolating polynomial have been proposed. The algorithms have been compared among themselves with respect to the number of interval arithmetic operations required to compute them and the width of the computed ...
Bhattacharjee, G.P., Majumder, K.L.
openaire   +2 more sources

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