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Introducing the kernel descent optimizer for variational quantum algorithms [PDF]
Scientific ReportsIn recent years, variational quantum algorithms have garnered significant attention as a candidate approach for near-term quantum advantage using noisy intermediate-scale quantum (NISQ) devices.
Lars Simon, Holger Eble, Manuel Radons
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Some reproducing kernel spaces of continuous functions
Journal of Mathematical Analysis and Applications, 1991 The author proves that a complex matrix valued symmetric \(C^ 3\)- function \(K:(a,b)\times(a,b)\to{\mathfrak M}(n,\mathbb{C})\) is the reproducing kernel of a Krejn space of continuous functions.
Alpay, Daniel
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Approximating Reproducing Kernel Hilbert Space Functions by Bernstein Operators
Results in MathematicsAbstractMotivated by kernel methods in machine learning theory, we study the uniform approximation of functions from reproducing kernel Hilbert spaces by Bernstein operators. Rates of approximation are provided in terms of the function norm in the reproducing kernel Hilbert space.
Han Feng, Sonia Y W Hui, Ruohan Shen
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On solutions of fractional order time varying linear dynamical systems model
Arab 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
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New reproducing kernel functions in the reproducing kernel Sobolev spaces
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akgul, Ali +2 more
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Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
Fractal and Fractional, 2023 The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and has lots of applications in many fields, especially in kernel machine learning.
Dah-Chin Luor, Liang-Yu Hsieh
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Проблемы анализа, 2021 We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
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On functional reproducing kernels
Open Mathematics, 2023 Abstract 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. Constructions in spaces that are the Fourier transform of weighted
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Cyclicity in Reproducing Kernel Hilbert Spaces of Analytic Functions [PDF]
Computational Methods and Function Theory, 2014 We introduce a large family of reproducing kernel Hilbert spaces $\mathcal{H} \subset \mbox{Hol}(\mathbb{D})$, which include the classical Dirichlet-type spaces $\mathcal{D}_α$, by requiring normalized monomials to form a Riesz basis for $\mathcal{H}$. Then, after precisely evaluating the $n$-th optimal norm and the $n$-th approximant of $f(z)=1-z$, we
Fricain, Emmanuel +2 more
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Inner Functions in Reproducing Kernel Spaces [PDF]
, 2019 In this paper we explore the notion of inner function in a broader context of operator theory.
Cheng, Raymond +2 more
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