Results 31 to 40 of about 3,282,070 (234)

New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry [PDF]

open access: yesOpuscula Mathematica, 2021
We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present a general positive definite kernel setting using bilinear forms, and we provide new examples.
Daniel Alpay, Palle E.T. Jorgensen
doaj   +1 more source

A survey of kernel and spectral methods for clustering [PDF]

open access: yes, 2007
Clustering algorithms are a useful tool to explore data structures and have been employed in many disciplines. The focus of this paper is the partitioning clustering problem with a special interest in two recent approaches: kernel and spectral methods ...
Masulli, F.   +11 more
core   +1 more source

Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]

open access: yes, 2008
For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio   +7 more
core   +1 more source

Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

open access: yesFractal and Fractional, 2020
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır   +2 more
doaj   +1 more source

Reproducing kernel method for the solutions of non-linear partial differential equations

open access: yesArab Journal of Basic and Applied Sciences, 2021
In modeling of a lots of complex physical problems and engineering process, the non-linear partial differential equations have a very important role. Development of dependable and effective methods to solve such types equations are constructed.
Elif Nuray Yildirim   +2 more
doaj   +1 more source

Transformation kernel density estimation of actuarial loss functions [PDF]

open access: yes, 2013
[cat] Es presenta un estimador nucli transformat que és adequat per a distribucions de cua pesada. Utilitzant una transformació basada en la distribució de probabilitat Beta l’elecció del paràmetre de finestra és molt directa. Es presenta una aplicació a
Guillén, Montserrat   +2 more
core   +7 more sources

Meshless Galerkin method based on RBFs and reproducing Kernel for quasi-linear parabolic equations with dirichlet boundary conditions

open access: yesMathematical Modelling and Analysis, 2021
The main aim of this paper is to present a hybrid scheme of both meshless Galerkin and reproducing kernel Hilbert space methods. The Galerkin meshless method is a powerful tool for solving a large class of multi-dimension problems.
Mehdi Mesrizadeh, Kamal Shanazari
doaj   +1 more source

Representing Systems of Reproducing Kernels in Spaces of Analytic Functions

open access: yesResults in Mathematics, 2023
We give an elementary construction of representing systems of the Cauchy kernels in the Hardy spaces $H^p$, $1 \le p <\infty$, as well as of representing systems of reproducing kernels in weighted Hardy spaces.
Anton Baranov, Timur Batenev
openaire   +3 more sources

Numerical solution of potential problems using radial basis reproducing kernel particle method

open access: yesResults in Physics, 2019
The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy.
Hongfen Gao, Gaofeng Wei
doaj   +1 more source

The meshfree analysis of elasticity problem utilizing radial basis reproducing kernel particle method

open access: yesResults in Physics, 2020
The computational accuracy of the traditional reproducing kernel particle method (RKPM) is susceptible to different kernel functions. To eliminate the adverse effects of the different kernel functions on the computational accuracy of the RKPM, the radial
Zheng Liu   +3 more
doaj   +1 more source

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