Results 71 to 80 of about 47,892 (174)

Representing functional data in reproducing Kernel Hilbert Spaces with applications to clustering and classification [PDF]

open access: yes
Functional data are difficult to manage for many traditional statistical techniques given their very high (or intrinsically infinite) dimensionality. The reason is that functional data are essentially functions and most algorithms are designed to work ...
Alberto Muñoz, Javier González
core  

An Exact Solution of the Binary Singular Problem

open access: yesJournal of Function Spaces, 2014
Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular ...
Baiqing Sun   +3 more
doaj   +1 more source

Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

open access: yesJournal of Function Spaces and Applications, 2012
We propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to ...
Mustafa Inc, Ali Akgül, Adem Kiliçman
doaj   +1 more source

Gradient reproducing kernel particle method [PDF]

open access: yesJournal of Mechanics of Materials and Structures, 2008
Alireza Hashemian, Hossein Shodja
openaire   +1 more source

A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials

open access: hybrid, 2023
Ryan Schlinkman   +4 more
openalex   +1 more source

The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method

open access: yesAbstract and Applied Analysis, 2012
This paper expands the application of reproducing kernel method to a class of third-order boundary value problems with mixed nonlinear boundary conditions. The analytical solution is represented in the form of series in the reproducing kernel space.
Zhiyuan Li, Yulan Wang, Fugui Tan
doaj   +1 more source

Robust Kernel (Cross-) Covariance Operators in Reproducing Kernel Hilbert Space toward Kernel Methods

open access: yes, 2016
To the best of our knowledge, there are no general well-founded robust methods for statistical unsupervised learning. Most of the unsupervised methods explicitly or implicitly depend on the kernel covariance operator (kernel CO) or kernel cross-covariance operator (kernel CCO).
Alam, Md. Ashad   +2 more
openaire   +2 more sources

Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems

open access: yesMathematical Modelling and Analysis, 2016
In this paper, convergence rate of the reproducing kernel method for solving boundary value problems is studied. The equivalence of two reproducing kernel spaces and some results of adjoint operator are proved.
Zhihong Zhao, Yingzhen Lin, Jing Niu
doaj   +1 more source

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