Results 11 to 20 of about 388,592 (291)

Tunable superconducting neurons for networks based on radial basis functions [PDF]

Beilstein Journal of Nanotechnology, 2022
The hardware implementation of signal microprocessors based on superconducting technologies seems relevant for a number of niche tasks where performance and energy efficiency are critically important.
Andrey E. Schegolev, Nikolay V. Klenov, Sergey V. Bakurskiy, Igor I. Soloviev, Mikhail Yu. Kupriyanov, Maxim V. Tereshonok, Anatoli S. Sidorenko   +6 more
doaj   +2 more sources

On spherical averages of radial basis functions [PDF]

Foundations of Computational Mathematics, 2008
A radial basis function (RBF) has the general form $$s(x)=\sum_{k=1}^{n}a_{k}\phi(x-b_{k}),\quad x\in\mathbb{R}^{d},$$ where the coefficients a 1,…,a n are real numbers, the points, or centres, b 1,…,b n lie in ℝ d , and φ:ℝ d →ℝ is a radially symmetric
A. Edelman, B. J. C. Baxter, B.J.C. Baxter, B.J.C. Baxter, C.A. Micchelli, D.S. Jones, E.T. Whittaker, F. John, F.G. Friedlander, G. Fasshauer, H. Wendland, I.J. Schoenberg, I.R.H. Jackson, M.D. Buhmann, V. Milman, W. Rudin, W.F. Donoghue Jr., W.R. Madych   +17 more
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A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions [PDF]

The Scientific World Journal, 2014
Metamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is strongly affected by the sampling methods. In this
Guang Pan, Pengcheng Ye, Peng Wang, Zhidong Yang   +3 more
doaj   +2 more sources

Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions

Mathematics
In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the
Abdelouahed Kouibia, Pedro González, Miguel Pasadas, Bassim Mustafa, Hossain Oulad Yakhlef, Loubna Omri   +5 more
doaj   +3 more sources

On unsymmetric collocation by radial basis functions

Applied Mathematics and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiu-Chung Hon, Robert Schaback
exaly   +4 more sources

Scaling of radial basis functions

IMA Journal of Numerical Analysis, 2023
Abstract This paper studies the influence of scaling on the behavior of radial basis function interpolation. It focuses on certain central aspects, but does not try to be exhaustive. The most important questions are: How does the error of a kernel-based interpolant vary with the scale of the kernel chosen?
Larsson, Elisabeth, Schaback, Robert
openaire   +5 more sources

Multidimensional generalizations of atomic radial basis functions

Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2023
Possible approaches to generalizing multidimensional atomic radial basis functions are presented. The functions of mathematical physics are used in solving two-dimensional and three-dimensional boundary value problems with partial derivatives.
Володимир Колодяжний, Ольга Лісіна, Денис Лісін   +2 more
doaj   +1 more source

An alternative method for phase-unwrapping of interferometric data [PDF]

Journal of the European Optical Society-Rapid Publications, 2014
In this paper we present a novel algorithm for phase unwrapping where only a subset of data from the wrapped phase map is used to reconstruct the unwrapped phase map as a linear combination of radial basis functions (RBF’s).
de la Rosa-Miranda E., Gonzalez-Ramirez E., Villa-Hernández J. J., Berriel-Valdos L. R., Olvera-Olvera C., de la Rosa-Vargas J. I., Saucedo-Anaya T., Arceo Olague J. G., Alaniz-Lumbreras D., Castaño V. M.   +9 more
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Extended Hermite Radial Basis Functions for Sparse Contours Interpolation

IEEE Access, 2020
In this paper, we present an extended Hermite radial basis functions interpolant for surface reconstruction of sparse contours that allows for shape control with interactive constraints.
Deyun Zhong, Liguan Wang, Lin Bi
doaj   +1 more source

Meshless Computational Strategy for Higher Order Strain Gradient Plate Models

Mathematical and Computational Applications, 2022
The present research focuses on the use of a meshless method for the solution of nanoplates by considering strain gradient thin plate theory. Unlike the most common finite element method, meshless methods do not rely on a domain decomposition.
Francesco Fabbrocino, Serena Saitta, Riccardo Vescovini, Nicholas Fantuzzi, Raimondo Luciano   +4 more
doaj   +1 more source