Results 31 to 40 of about 11,485 (217)
Interpreting the dual Riccati equation through the LQ reproducing kernel
Comptes Rendus. Mathématique, 2021 In this study, we provide an interpretation of the dual differential Riccati equation of Linear-Quadratic (LQ) optimal control problems. Adopting a novel viewpoint, we show that LQ optimal control can be seen as a regression problem over the space of ...
Aubin-Frankowski, Pierre-Cyril
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A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems
Fractal and Fractional, 2019 In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind ...
Ali Akgül, Esra Karatas Akgül
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A method for approximate missing data from data error measured with l norm [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 We briefly review some recent work on hypercircle inequality for partially corrupted data when the data error is measured with l norm. The aim of this paper is to present the method for approximate missing data in the use of midpoint algorithm and
Benjawan Rodjanadid, Kannika Khompungson
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Learnability in Hilbert Spaces with Reproducing Kernels [PDF]
Journal of Complexity, 2002 AbstractWe explore the question of the learnability of classes of functions contained in a Hilbert space which has a reproducing kernel. We show that if the evaluation functionals are uniformly bounded and if the class is norm bounded then it is learnable.
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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}_ $, by requiring normalized monomials to form a Riesz basis for $\mathcal{H}$.
Fricain, Emmanuel +2 more
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Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation
ITM Web of Conferences, 2018 Reproducing kernel functions are obtained for the solution of generalized Kuramoto–Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method.
Akgül Ali +3 more
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Optimal Penalized Function-on-Function Regression Under a Reproducing Kernel Hilbert Space Framework [PDF]
Journal of the American Statistical Association, 2018 Many scientific studies collect data where the response and predictor variables are both functions of time, location, or some other covariate. Understanding the relationship between these functional variables is a common goal in these studies.
Xiaoxiao Sun +3 more
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Orthorecursive expansions generated by the Szego kernel [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2023 This article considers systems of subspaces of the Hardy space generated by the Szego kernel. The main result of the work is to establish the convergence of orthorecursive expansions with respect to the considered systems of subspaces.
Terekhin, Pavel A.
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Relative reproducing kernel Hilbert spaces [PDF]
Proceedings of the American Mathematical Society, 2014 We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing kernels are characterized in terms of conditionally negative functions.
Palle E. T. Jorgensen +2 more
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Linear dynamics in reproducing kernel Hilbert spaces [PDF]
Bulletin des Sciences Mathématiques, 2020 Complementing earlier results on dynamics of unilateral weighted shifts, we obtain a sufficient (but not necessary, with supporting examples) condition for hypercyclicity, mixing and chaos for $M_z^*$, the adjoint of $M_z$, on vector-valued analytic reproducing kernel Hilbert spaces $\mathcal{H}$ in terms of the derivatives of kernel functions on the ...
Aneesh Mundayadan, Jaydeb Sarkar
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