Results 31 to 40 of about 93,507 (297)
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 interpolation [PDF]
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
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]
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
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
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]
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
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
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
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

