Results 51 to 60 of about 11,485 (217)
Abstract and Applied Analysis, 2013 We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space.
Yulan Wang +4 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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Symmetric Operators and Reproducing Kernel Hilbert Spaces [PDF]
Complex Analysis and Operator Theory, 2009 We establish the following sufficient operator-theoretic condition for a subspace $${S \subset L^2 (\mathbb{R}, d\nu)}$$ to be a reproducing kernel Hilbert space with the Kramer sampling property. If the compression of the unitary group U(t) := e
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Abstract and Applied Analysis, 2013 We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc +2 more
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Operational reproducing kernel Hilbert spaces
Lithuanian Mathematical Journal, 1972 The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Э. Сенкене, А. Темпельман. Гильбертовы пространства с операторными воспроизводящими ядрами E. Senkienė, A. Tempelmanas.
E. Senkienė, Arkady Tempelman
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Signal-to-noise ratio in reproducing kernel Hilbert spaces [PDF]
Pattern Recognition Letters, 2018 This paper introduces the kernel signal-to-noise ratio (kSNR) for different machine learning and signal processing applications}. The kSNR seeks to maximize the signal variance while minimizing the estimated noise variance explicitly in a reproducing kernel Hilbert space (rkHs).
Gómez-Chova, Luis +2 more
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Journal of Mathematics, 2022 In this article, the reproducing kernel method is presented for the fractional differential equations with periodic conditions in the Hilbert space. This method gives an approximate solution to the problem.
Hoda Saky +2 more
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Bolt Anchorage Quality Levels Classification Method Based on HO‐VMD‐CNN‐BiLSTM
Energy Science &Engineering, EarlyView.First, the original ultrasound‐guided wave signal data is decomposed into multiple sub‐signals with varying frequencies using VMD to capture the multi‐scale features within the data. Second, the decomposed and noise‐reduced signal, processed by the HO‐VMD algorithm, is input into the CNN for further feature extraction through convolution and pooling ...
Fan Kesong +7 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Reproducing kernel Hilbert spaces of Gaussian priors
, 2008 Published in at http://dx.doi.org/10.1214/074921708000000156 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
van der Vaart, A. W., van Zanten, J. H.
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