Results 21 to 30 of about 2,156,600 (296)

A signal theory approach to support vector classification: the sinc kernel [PDF]

, 2009
Fourier-based regularisation is considered for the support vector machine classification problem over absolutely integrable loss functions. By invoking the modest assumption that the decision function belongs to a Paley–Wiener space, it is shown that the
Nelso, James D.B., Damper, Robert I., Guo, Baofeng, Gunn, Steve R.   +3 more
core   +1 more source

Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces [PDF]

, 2011
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A., Miguel A. Hernández-Medina, Antonio G. García, Franciszek Hugon Szafraniec, Hugon Szafraniec, Franciszek, García, Antonio G., Hernández Medina, Miguel Ángel, Szafraniec, Franciszek   +7 more
core   +1 more source

Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling

Mathematical Modelling and Analysis, 2018
Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan, Ali Ebadian, Hadi Rahmani Fazli   +2 more
doaj   +1 more source

Reproducing kernel functions-based meshless method for variable order fractional advection-diffusion-reaction equations

Alexandria Engineering Journal, 2020
In this paper, on the basis of the reproducing kernel functions, a novel meshless algorithm is explored for fractional advection–diffusion-reaction equations (ADREs) with Caputo time variable order.
Xiuying Li, Boying Wu
doaj   +1 more source

Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme

Mathematics, 2017
We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given.
Mir Sajjad Hashemi, Ali Akgül, Mustafa Inc, Idrees Sedeeq Mustafa, Dumitru Baleanu   +4 more
doaj   +1 more source

Applying the possibilistic C-means algorithm in kernel-induced spaces [PDF]

, 2010
In this paper, we study a kernel extension of the classic possibilistic c-means. In the proposed extension, we implicitly map input patterns into a possibly high-dimensional space by means of positive semidefinite kernels. In this new space, we model the
Masulli, F., M. Filippone, Filippone, M., ROVETTA, STEFANO, MASULLI, FRANCESCO, Rovetta, S.   +5 more
core   +1 more source

A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems

Abstract and Applied Analysis, 2013
A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular
Jing Niu, Yingzhen Lin, Minggen Cui
doaj   +1 more source

A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method

Mathematics, 2020
This paper deals with the numerical solutions and convergence analysis for general singular Lane–Emden type models of fractional order, with appropriate constraint initial conditions.
O. Arqub, M. Osman, A. Abdel-Aty, A.-B.a Mohamed, S. Momani   +4 more
semanticscholar   +1 more source

New reproducing kernel functions [PDF]

, 2015
Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers.
Akgül, Ali
core   +1 more source

Locally linear approximation for Kernel methods : the Railway Kernel [PDF]

, 2008
In this paper we present a new kernel, the Railway Kernel, that works properly for general (nonlinear) classification problems, with the interesting property that acts locally as a linear kernel.
González, Javier, Muñoz, Alberto
core   +1 more source