Results 31 to 40 of about 547,687 (323)

Kernel center adaptation in the reproducing kernel Hilbert space embedding method

open access: yesInternational Journal of Adaptive Control and Signal Processing, 2022
SummaryThe performance of adaptive estimators that employ embedding in reproducing kernel Hilbert spaces (RKHS) depends on the choice of the location of basis kernel centers. Parameter convergence and error approximation rates depend on where and how the kernel centers are distributed in the state‐space.
Sai Tej Paruchuri   +2 more
openaire   +2 more sources

Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces

open access: yesFractal and Fractional, 2022
Fractional-order calculus has become a useful mathematical framework to describe the complex super-diffusive process; however, numerical solutions of the two-sided space-fractional super-diffusive model with variable coefficients are difficult to obtain,
Zhiyuan Li   +3 more
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

Reproducing kernel particle method and its modification [PDF]

open access: yes, 2010
summary:Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics.
Mošová, Vratislava
core   +1 more source

On solutions of fractional order time varying linear dynamical systems model

open access: yesArab Journal of Basic and Applied Sciences, 2021
In this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution.
Mahmut Modanli, Ali Akgül
doaj   +1 more source

A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation

open access: yesApplied Mathematics Letters, 2020
In the paper, linear Volterra–Fredholm integral equations of the second kind are considered in a reproducing kernel space. The approximate solution is gotten by constructing a uniquely solvable system of linear algebraic equations.
Hong Du, Zhong Chen
semanticscholar   +1 more source

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

open access: yes, 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.   +5 more
core   +1 more source

Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

open access: yesAdvances in Mathematical Physics, 2020
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li   +3 more
doaj   +1 more source

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

open access: yesMathematical 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   +2 more
doaj   +1 more source

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