Results 1 to 10 of about 1,545,659 (162)

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

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

Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces

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, Qintong Chen, Yulan Wang, Xiaoyu Li   +3 more
doaj   +2 more sources

Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]

PLoS ONE
Kernel 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
doaj   +2 more sources

Reproducing kernel functions based univariate spline interpolation

Applied Mathematics Letters, 2021
Fazhan Geng
exaly   +2 more sources

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, P. Novelli, Andreas Maurer, C. Ciliberto, L. Rosasco, M. Pontil   +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, E. De Vito, L. Rosasco, S. Vigogna   +3 more
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

Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

Mathematical methods in the applied sciences, 2021
In this research study, fuzzy fractional differential equations in presence of the Atangana–Baleanu–Caputo differential operators are analytically and numerically treated using extended reproducing kernel Hilbert space technique.
Omar Abu Arqub, Jagdev Singh, Banan Maayah, Mohammed Alhodaly   +3 more
semanticscholar   +1 more source

Data-Driven Optimization: A Reproducing Kernel Hilbert Space Approach

Operational Research, 2021
Data-Driven Optimization Using Reproducing Kernel Hilbert ...
D. Bertsimas, Nihal Koduri
semanticscholar   +1 more source