Results 1 to 10 of about 1,486,932 (305)
Journal of Taibah University for Science, 2019 In this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions.
Ali AKGÜL
exaly +3 more sources
Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral [PDF]
Journal of Applied Mathematics, 2012 We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains
Er Gao, Songhe Song, Xinjian Zhang
doaj +4 more sources
Fractal and Fractional, 2022 Fractional-order calculus has become a useful mathematical framework to describe the complex super-diffusive process; however, numerical solutions of the two-sided space-fractional super-diffusive model with variable coefficients are difficult to obtain,
Zhiyuan Li +3 more
doaj +2 more sources
Reproducing Kernels and Variable Bandwidth [PDF]
Journal of Function Spaces and Applications, 2012 We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
doaj +3 more sources
Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]
PLoS ONEKernel methods are widely applied across various domains; however, structural limitations of reproducing kernels in Hilbert spaces pose significant challenges.
Yi Ding, Ying Zhao, Yan Pei
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Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces [PDF]
Neural Information Processing Systems, 2022 We study a class of dynamical systems modelled as Markov chains that admit an invariant distribution via the corresponding transfer, or Koopman, operator.
V. Kostić +5 more
semanticscholar +1 more source
Understanding neural networks with reproducing kernel Banach spaces [PDF]
Applied and Computational Harmonic Analysis, 2021 Characterizing the function spaces corresponding to neural networks can provide a way to understand their properties. In this paper we discuss how the theory of reproducing kernel Banach spaces can be used to tackle this challenge.
Francesca Bartolucci +3 more
semanticscholar +1 more source
Duality for Neural Networks through Reproducing Kernel Banach Spaces [PDF]
Social Science Research Network, 2022 Reproducing Kernel Hilbert spaces (RKHS) have been a very successful tool in various areas of machine learning. Recently, Barron spaces have been used to prove bounds on the generalisation error for neural networks. Unfortunately, Barron spaces cannot be
L. Spek, T. Heeringa, C. Brune
semanticscholar +1 more source
On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces
Mohammadreza Foroutan
doaj +1 more source
Szegő Type Asymptotics for the Reproducing Kernel in Spaces of Full-Plane Weighted Polynomials [PDF]
Communications in Mathematical Physics, 2021 Consider the subspace $${{{\mathscr {W}}}_{n}}$$ W n of $$L^2({{\mathbb {C}}},dA)$$ L 2 ( C , d A ) consisting of all weighted polynomials $$W(z)=P(z)\cdot e^{-\frac{1}{2}nQ(z)},$$ W ( z ) = P ( z ) · e - 1 2 n Q ( z ) , where P ( z ) is a holomorphic ...
Y. Ameur, Joakim Cronvall
semanticscholar +1 more source