Results 41 to 50 of about 50,456 (286)

The meshless analysis of wave equations based on the RRKPM

Results in Physics, 2020
In this paper, the method of radial basis function (RBF) is employed to construct the approximating function of the reproducing kernel particle method (RKPM), which can reduce the adverse effect of different kernel functions on computational accuracy and
Jichao Ma, Hongfen Gao, Gaofeng Wei, Jinwei Qiao   +3 more
doaj   +1 more source

Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space

Alexandria Engineering Journal, 2022
The point of this paper is to analyze and investigate the analytic-approximate solutions for fractional system of Volterra integro-differential equations in framework of Caputo-Fabrizio operator.
Fatima Youbi, Shaher Momani, Shatha Hasan, Mohammed Al-Smadi   +3 more
doaj   +1 more source

Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions

, 2013
In this paper we solve support vector machines in reproducing kernel Banach spaces with reproducing kernels defined on nonsymmetric domains instead of the traditional methods in reproducing kernel Hilbert spaces.
Adams, Alpaydin, Berlinet, Buhmann, Ekeland, Erickson, Erickson, Fasshauer, Fasshauer, Fasshauer, Fasshauer, Fred J. Hickernell, Giles, Gregory E. Fasshauer, Hörmander, James, Lumer, Megginson, Micchelli, Micchelli, Qi Ye, Song, Song, Sriperumbudur, Stein, Stein, Steinwart, Wahba, Wendland, Ye, Ye, Zhang, Zhang   +32 more
core   +1 more source

A representer theorem for deep kernel learning [PDF]

, 2018
In this paper we provide a finite-sample and an infinite-sample representer theorem for the concatenation of (linear combinations of) kernel functions of reproducing kernel Hilbert spaces.
Bohn, Bastian, Griebel, Michael, Rieger, Christian   +2 more
core   +2 more sources

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

Advances in Difference Equations, 2021
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan, Nadir Djeddi, Mohammed Al-Smadi, Shrideh Al-Omari, Shaher Momani, Andreea Fulga   +5 more
doaj   +1 more source

Sampling and Reconstruction of Signals in a Reproducing Kernel Subspace of $L^p({\Bbb R}^d)$

, 2009
In this paper, we consider sampling and reconstruction of signals in a reproducing kernel subspace of $L^p(\Rd), 1\le p\le \infty$, associated with an idempotent integral operator whose kernel has certain off-diagonal decay and regularity.
Nashed, M. Zuhair, Sun, Qiyu
core   +1 more source

Structured Functional Additive Regression in Reproducing Kernel Hilbert Spaces [PDF]

Journal of the Royal Statistical Society Series B: Statistical Methodology, 2013
SummaryFunctional additive models provide a flexible yet simple framework for regressions involving functional predictors. The utilization of a data-driven basis in an additive rather than linear structure naturally extends the classical functional linear model.
Hongxiao, Zhu, Fang, Yao, Hao Helen, Zhang   +2 more
openaire   +2 more sources

Spheroidal spline interpolation and its application in geodesy

Geodesy and Cartography, 2020
The aim of this paper is to study the spline interpolation problem in spheroidal geometry. We follow the minimization of the norm of the iterated Beltrami-Laplace and consecutive iterated Helmholtz operators for all functions belonging to an appropriate ...
Mostafa Kiani, Nabi Chegini, Abdolreza Safari, Borzoo Nazari   +3 more
doaj   +1 more source

Realizations of slice hyperholomorphic generalized contractive and positive functions

, 2014
We introduce generalized Schur functions and generalized positive functions in setting of slice hyperholomorphic functions and study their realizations in terms of associated reproducing kernel Pontryagin spacesComment: Revised version,to appear in the ...
Alpay, Daniel, Colombo, Fabrizio, Lewkowicz, Izchak, Sabadini, Irene   +3 more
core   +1 more source

On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation

Annales Mathematicae Silesianae, 2022
In this paper we consider spaces of weight square-integrable and harmonic functions L2H(Ω, µ). Weights µ for which there exists reproducing kernel of L2H(Ω, µ) are named ’admissible weights’ and such kernels are named ’harmonic Bergman kernels’. We prove
Żynda Tomasz Łukasz
doaj   +1 more source