Results 111 to 120 of about 4,142 (221)

On the Probabilistic Approximation in Reproducing Kernel Hilbert Spaces

Complex Analysis and Operator Theory
This paper studies the probabilistic function approximation problem over reproducing kernel Hilbert spaces. We show the existence and uniqueness of the optimizer under mild assumptions. Furthermore, we generalize the celebrated representer theorem to our setting, and especially when the probability measure is finitely supported, or the Hilbert space is
Chen, Dongwei, Wang, Kai-Hsiang
openaire   +2 more sources

Full Details of Solving Initial Value Problems by Reproducing Kernel Hilbert Space Method [PDF]

, 2015
In this paper we solve in full details an initial value problem by reproducing kernel Hilbert space method and we notice that this solution is close to the exact solution.
AL- Azzawi, Saad N., AL-Deen Jameel, Huda Emad, Momani, Shaher   +2 more
core   +1 more source

Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

Abstract and Applied Analysis, 2012
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari, Fereshteh Toutian Isfahani, Maryam Mohammadi   +2 more
doaj   +1 more source

Safe exploration in reproducing kernel Hilbert spaces

CoRR
Accepted to AISTATS ...
Abdullah Tokmak, Kiran G. Krishnan, Thomas B. Schön, Dominik Baumann   +3 more
openaire   +3 more sources

Weighted Composition Operators on a Bergman-type Reproducing Kernel Hilbert Space [PDF]

, 2019
In this research, we introduce a Bergman-type reproducing kernel Hilbert space A2 ρ and consider the weighted composition operators uCφ acting on A2 ρ .
Huo, Ming
core   +1 more source

Reproducing kernel hilbert space methods for cad tools [PDF]

, 2004
The review of known RKHS-methods for analysis of current state in science investigations is represented. The place of Series Summation Method in Reproducing Kernel Hilbert Space (RKHS) is determined. The new results obtained by this method are discussed.
Gowher, Malik, Chumachenko, S. V., Khawar, Parvez   +2 more
core   +1 more source

Berezin number inequalities for operators

Concrete Operators, 2019
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
doaj   +1 more source

Uniform Distribution, Discrepancy, and Reproducing Kernel Hilbert Spaces

Journal of Complexity, 2001
The results are related with numerical integration of functions in a reproducing kernel Hilbert space (RKHS). The authors define a notion of uniform distribution and discrepancy of sequences in an abstract set \(E\) in terms of a RKHS of functions on \(E\). In the case of the finite-dimensional unit cube the discrepancies introduced are closely related
Clemens Amstler, Peter Zinterhof
openaire   +2 more sources

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

Abstract and Applied Analysis, 2012
This paper investigates the numerical solution of nonlinear Fredholm-Volterra integro-differential equations using reproducing kernel Hilbert space method. The solution 𝑢(𝑥) is represented in the form of series in the reproducing kernel space.
Omar Abu Arqub, Mohammed Al-Smadi, Shaher Momani   +2 more
doaj   +1 more source

Orthogonality from disjoint support in reproducing kernel Hilbert spaces [PDF]

, 2009
We investigate reproducing kernel Hilbert spaces (RKHS) where two functions are orthogonal whenever they have disjoint support. Necessary and sufficient conditions in terms of feature maps for the reproducing kernel are established.
Zhang, Haizhang
core   +1 more source