Results 121 to 130 of about 2,360 (218)
Reproducing kernel method of solving singular integral equation with cosecant kernel
, 2008 In the paper, a reproducing kernel method of solving singular integral equations (SIE) with cosecant kernel is proposed. For solving SIE, difficulties lie in its singular term. In order to remove singular term of SIE, an equivalent transformation is made.
Du, Hong, Shen, JiHong
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Skill Disentanglement in Reproducing Kernel Hilbert Space
Unsupervised Skill Discovery aims at learning diverse skills without any extrinsic rewards and leverage them as prior for learning a variety of downstream tasks.
Dave, Vedant, Rueckert, Elmar
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Infinite dimensional exponential families by reproducing kernel Hilbert spaces
, 2005 The purpose of this paper is to propose a method of constructing exponential families of Hilbert manifold, on which estimation theory can be built. Although there have been works on infinite dimensional exponential families of Banach manifolds (Pistone ...
Fukumizu, K.
core
, 2018 The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find. The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find the approximate solutions to this ...
Al-Humedi, Hameeda Oda
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Boundary Value ProblemsIn this paper, we investigate the fractional hybrid integro-differential equations with Dirichlet boundary conditions. We first prove the existence of a unique solution for the equation using a fixed point technique.
Zahra Eidinejad +4 more
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Expected integration approximation under general equal measure partition
Results in Applied MathematicsIn this paper, we first use an L2−discrepancy bound to give the expected uniform integration approximation for functions in the Sobolev space H1(K) equipped with a reproducing kernel.
Xiaoda Xu +5 more
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Solving the Dym initial value problem in reproducing kernel space
, 2017 We consider two numerical solution approaches for the Dym initial value problem using the reproducing kernel Hilbert space method. For each solution approach, the solution is represented in the form of a series contained in the reproducing kernel space ...
R. A. Van Gorder +6 more
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The method of Successive Approximations for Reproducing Kernel Hilbert Spaces (1)
, 2001 A general framework for function approximation from finite data is presented based on reproducing kernel Hilbert spaces. Key results are summarised and the normal and regularised solutions are described. A potential limitation to these solutions for large data sets is the computational burden.
Dodd, T.J., Harrison, R.F.
openaire
Radial Basis Function Network in Reproducing Kernel Hilbert Space
, 2005 The present study employs an idea of mapping data into a high dimensional feature space which is known as Reproducing Kernel Hilbert Space (RKHS), then performs Radial Basis Function (RBF) network in the feature space where the new basis function will be
Dachapak, Chooleewan +6 more
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Demonstratio MathematicaIn this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert space method, to investigate the approximate numerical solutions for a specific class of fractional Begley-Torvik equations (FBTE) equipped with fractional ...
Aljazzazi Mazin +4 more
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