Results 11 to 20 of about 1,714 (187)
Advances in Mathematical Physics, 2014 A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator’s models. The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of ...
Banan Maayah +3 more
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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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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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Relative reproducing kernel Hilbert spaces [PDF]
Proceedings of the American Mathematical Society, 2014 Summary: 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.
Alpay, Daniel +2 more
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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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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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Overlap-Kernel EPI: Estimating MRI Shot-to-Shot Phase Variations by Shifted-Kernel Extraction From Overlap Regions at Arbitrary k-Space Locations. [PDF]
Magn Reson MedABSTRACT Purpose In multi‐shot EPI, shot‐dependent phase fluctuations can introduce ghost artifacts, undermining advantages for enhancing resolution or reducing distortion, particularly in diffusion scans. Here, a novel self‐navigation strategy based on shift‐invariant kernel extraction is proposed, enabling robust estimation of phase inconsistencies ...
Tian R +3 more
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Reproducing Kernel Hilbert Spaces [PDF]
, 2019 This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
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FEW-GROUP CROSS SECTIONS LIBRARY BY ACTIVE LEARNING WITH SPLINE KERNELS [PDF]
EPJ Web of Conferences, 2021 This work deals with the representation of homogenized few-groups cross sections libraries by machine learning. A Reproducing Kernel Hilbert Space (RKHS) is used for different Pool Active Learning strategies to obtain an optimal support.
Szames E. +3 more
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n-Best kernel approximation in reproducing kernel Hilbert spaces
Applied and Computational Harmonic Analysis, 2022 By making a seminal use of the maximum modulus principle of holomorphic functions we prove existence of $n$-best kernel approximation for a wide class of reproducing kernel Hilbert spaces of holomorphic functions in the unit disc, and for the corresponding class of Bochner type spaces of stochastic processes.
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