Results 41 to 50 of about 4,142 (221)

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

A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems

open access: yesFractal and Fractional, 2019
In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind ...
Ali Akgül, Esra Karatas Akgül
doaj   +1 more source

On functional reproducing kernels

open access: yesOpen Mathematics, 2023
We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map.
Zhou Weiqi
doaj   +1 more source

Using String Kernels to Identify Famous Performers from their Playing Style [PDF]

open access: yes, 2004
In this paper we show a novel application of string kernels: that is to the problem of recognising famous pianists from their style of playing. The characteristics of performers playing the same piece are obtained from changes in beat-level tempo and ...
David R. Hardoon   +7 more
core   +1 more source

Interpreting the dual Riccati equation through the LQ reproducing kernel

open access: yesComptes Rendus. Mathématique, 2021
In this study, we provide an interpretation of the dual differential Riccati equation of Linear-Quadratic (LQ) optimal control problems. Adopting a novel viewpoint, we show that LQ optimal control can be seen as a regression problem over the space of ...
Aubin-Frankowski, Pierre-Cyril
doaj   +1 more source

Reproducing kernel Hilbert spaces of Gaussian priors [PDF]

open access: yes, 2008
We review definitions and properties of reproducing kernel Hilbert spaces attached to Gaussian variables and processes, with a view to applications in nonparametric Bayesian statistics using Gaussian priors.
Vaart, AW Aad van der   +7 more
core   +3 more sources

Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation

open access: yesITM Web of Conferences, 2018
Reproducing kernel functions are obtained for the solution of generalized Kuramoto–Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method.
Akgül Ali   +3 more
doaj   +1 more source

A method for approximate missing data from data error measured with l  norm [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2021
We briefly review some recent work on hypercircle inequality for partially corrupted data when the data error is measured with l  norm. The aim of this paper is to present the method for approximate missing data in the use of midpoint algorithm and
Benjawan Rodjanadid, Kannika Khompungson
doaj   +1 more source

Differentiability in reproducing Kernel Hilbert space on the sphere [PDF]

open access: yes, 2012
Um espaço de Hilbert de reprodução (EHR) é um espaço de Hilbert de funções construído de maneira específica e única a partir de um núcleo positivo definido.
Jordão, Thaís, Thaís Jordão
core   +1 more source

Reproducing kernel Hilbert space method for solutions of a coefficient inverse problem for the kinetic equation [PDF]

open access: yes, 2018
On the basis of a reproducing kernel Hilbert space, reproducing kernel functions for solving the coefficient inverse problem for the kinetic equation are given in this paper.
Esra Karatas Akgül
core   +1 more source

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