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Approximations of the Reproducing Kernel Hilbert Space (RKHS) Embedding Method over Manifolds [PDF]
2020 59th IEEE Conference on Decision and Control (CDC), 2020 The reproducing kernel Hilbert space (RKHS) embedding method is a recently introduced estimation approach that seeks to identify the unknown or uncertain function in the governing equations of a nonlinear set of ordinary differential equations (ODEs). While the original state estimate evolves in Euclidean space, the function estimate is constructed in ...
Andrew J. Kurdila +2 more
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Convergence rates of Kernel Conjugate Gradient for random design regression [PDF]
, 2016 We prove statistical rates of convergence for kernel-based least squares regression from i.i.d. data using a conjugate gradient algorithm, where regularization against overfitting is obtained by early stopping.
Blanchard, Gilles, Krämer, Nicole
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Solving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, an accurate technique is used to find an approximate solution to the fractional-order Duffing-Van der Pol (DVP, for short) oscillators equation which is reproducing kernel Hilbert space (RKHS, for short ) method. The numerical results show
Nourhane Attia +3 more
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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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Advances in Difference Equations, 2018 In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah +3 more
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Fractal and Fractional, 2020 In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır +2 more
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Reproducing Kernel Hilbert Space Methods for wide-sense self-similar Processes [PDF]
The Annals of Applied Probability, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nuzman, Carl J., Poor, H. Vincent
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Kernel method for nonlinear Granger causality [PDF]
, 2008 Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other.
A. Papoulis +7 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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Journal of Telecommunications and Information Technology, 2021 Among all the techniques combining multi-carrier modulation and spread spectrum, the multi-carrier code division multiple access (MC-CDMA) system is by far the most widely studied.
Rachid Fateh, Anouar Darif, Said Safi
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