Results 31 to 40 of about 16,578 (196)

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

open access: yesAin Shams Engineering Journal, 2018
In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj   +1 more source

A Primer on Reproducing Kernel Hilbert Spaces

open access: yes, 2015
Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when
Amblard, Pierre-Olivier   +1 more
core   +3 more sources

Representing Functions in H2 on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

open access: yesMathematics, 2022
The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
doaj   +1 more source

Density Problem and Approximation Error in Learning Theory

open access: yesAbstract and Applied Analysis, 2013
We study the density problem and approximation error of reproducing kernel Hilbert spaces for the purpose of learning theory. For a Mercer kernel on a compact metric space (, ), a characterization for the generated reproducing kernel Hilbert space (RKHS)
Ding-Xuan Zhou
doaj   +1 more source

GPU-Accelerated Partially Linear Multiuser Detection for 5G and Beyond URLLC Systems

open access: yesIEEE Access, 2022
We have implemented a recently proposed partially linear multiuser detection algorithm in reproducing kernel Hilbert spaces (RKHSs) on a GPU-accelerated platform.
Matthias Mehlhose   +8 more
doaj   +1 more source

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

open access: yes, 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   +32 more
core   +1 more source

Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

open access: yesAbstract and Applied Analysis, 2012
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari   +2 more
doaj   +1 more source

Operational reproducing kernel Hilbert spaces

open access: yesLithuanian Mathematical Journal, 1972
The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Э. Сенкене, А. Темпельман. Гильбертовы пространства с операторными воспроизводящими ядрами E. Senkienė, A. Tempelmanas.
E. Senkienė, A. Tempelman
openaire   +2 more sources

The Convergence Rate for a K-Functional in Learning Theory

open access: yesJournal of Inequalities and Applications, 2010
It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the upper bounds estimate for a K-functional is needed.
Bao-Huai Sheng, Dao-Hong Xiang
doaj   +1 more source

The Augmented Complex Kernel LMS

open access: yes, 2011
Recently, a unified framework for adaptive kernel based signal processing of complex data was presented by the authors, which, besides offering techniques to map the input data to complex Reproducing Kernel Hilbert Spaces, developed a suitable Wirtinger ...
Bouboulis, Pantelis   +2 more
core   +1 more source

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