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Reproducing kernel Hilbert spaces
High-Dimensional Statistics, 2019This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
Ronald Christensen
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Chaos, Solitons & Fractals, 2019
In this paper, the third order partial differential equation defined by Caputo fractional derivative with Atangana–Baleanu derivative has been investigated. The stability estimates are proved for the exact solution. Difference schemes for Crank–Nicholson
A. Akgül, Mahmut Modanlı
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In this paper, the third order partial differential equation defined by Caputo fractional derivative with Atangana–Baleanu derivative has been investigated. The stability estimates are proved for the exact solution. Difference schemes for Crank–Nicholson
A. Akgül, Mahmut Modanlı
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On some problems for operators on the reproducing kernel Hilbert space
Linear and multilinear algebra, 2019In this study, some problems of operator theory on the reproducing kernel Hilbert space by using the Berezin symbols method are investigated. Namely, invariant subspaces of weighted composition operators on are studied.
M. Garayev +3 more
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Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces
Journal of nonlinear science, 2017Transfer operators such as the Perron–Frobenius or Koopman operator play an important role in the global analysis of complex dynamical systems. The eigenfunctions of these operators can be used to detect metastable sets, to project the dynamics onto the ...
Stefan Klus +2 more
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The dimension splitting reproducing kernel particle method for three‐dimensional potential problems
International Journal for Numerical Methods in Engineering, 2019In this paper, the dimension splitting reproducing kernel particle method (DSRKPM) for three‐dimensional (3D) potential problems is presented. In the DSRKPM, a 3D potential problem can be transformed into a series of two‐dimensional (2D) ones in the ...
P. Peng, Q. Wu, Y.M. Cheng
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Sparse online kernelized actor-critic Learning in reproducing kernel Hilbert space
Artificial Intelligence Review, 2021Yongliang Yang +5 more
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Reproducing Kernels and Finite Order Kernels
1991Recent literature on density and regression function estimation has shown the interest of kernels of order s, i.e. kernels with (s-1) vanishing moments. We define here a multi-stage procedure to build estimates based on increasing order kernels and leading to a data-driven choice of both the order and the smoothing parameter. Some asymptotic as well as
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Approximation of the reproducing kernel
Journal of Soviet Mathematics, 1984Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 97, 195-198 (Russian) (1980; Zbl 0485.60036).
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