Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators [PDF]
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 Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method [PDF]
Journal of Function Spaces, 2016 We present an efficient modern strategy for solving some well-known classes of uncertain integral equations arising in engineering and physics fields. The solution methodology is based on generating an orthogonal basis upon the obtained kernel function ...
Ghaleb Gumah +3 more
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A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations [PDF]
Abstract and Applied Analysis, 2014 We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations.
Samia Bushnaq +3 more
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Single image super-resolution via an iterative reproducing kernel Hilbert space method. [PDF]
IEEE Trans Circuits Syst Video Technol, 2016 Image super-resolution, a process to enhance image resolution, has important applications in satellite imaging, high definition television, medical imaging, etc. Many existing approaches use multiple low-resolution images to recover one high-resolution image. In this paper, we present an iterative scheme to solve single image super-resolution problems.
Deng LJ, Guo W, Huang TZ.
europepmc +4 more sources
Kernel center adaptation in the reproducing kernel Hilbert space embedding method
International Journal of Adaptive Control and Signal Processing, 2022 SummaryThe performance of adaptive estimators that employ embedding in reproducing kernel Hilbert spaces (RKHS) depends on the choice of the location of basis kernel centers. Parameter convergence and error approximation rates depend on where and how the kernel centers are distributed in the state‐space.
Sai Tej Paruchuri +2 more
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Reproducing Kernel Hilbert Spaces Regression and Classification Methods [PDF]
, 2022 AbstractThe fundamentals for Reproducing Kernel Hilbert Spaces (RKHS) regression methods are described in this chapter. We first point out the virtues of RKHS regression methods and why these methods are gaining a lot of acceptance in statistical machine learning.
Osval Antonio Montesinos López +2 more
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Aveiro method in reproducing kernel Hilbert spaces under complete dictionary [PDF]
Mathematical Methods in the Applied Sciences, 2017 Aveiro method is a sparse representation method in reproducing kernel Hilbert spaces, which gives orthogonal projections in linear combinations of reproducing kernels over uniqueness sets. It, however, suffers from determination of uniqueness sets in the underlying reproducing kernel Hilbert space.
Weixiong Mai, Tao Qian
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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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A reproducing kernel Hilbert space approach in meshless collocation method [PDF]
Computational and Applied Mathematics, 2019 In this paper we combine the theory of reproducing kernel Hilbert spaces with the field of collocation methods to solve boundary value problems with special emphasis on reproducing property of kernels. From the reproducing property of kernels we proposed a new efficient algorithm to obtain the cardinal functions of a reproducing kernel Hilbert space ...
Babak Azarnavid +3 more
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