Results 1 to 10 of about 2,581 (224)
Uniform Distribution, Discrepancy, and Reproducing Kernel Hilbert Spaces
Journal of Complexity, 2001 The results are related with numerical integration of functions in a reproducing kernel Hilbert space (RKHS). The authors define a notion of uniform distribution and discrepancy of sequences in an abstract set \(E\) in terms of a RKHS of functions on \(E\). In the case of the finite-dimensional unit cube the discrepancies introduced are closely related
Peter Zinterhof
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Some Properties of Reproducing Kernel Banach and Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems.
Saeed Hashemi Sababe, Ali Ebadian
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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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Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]
Integral Equations and Operator Theory, 2017 The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of ...
Kumari, Rani +3 more
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An Operator Analysis on Stochastic Differential Equation (SDE)-Based Diffusion Generative Models [PDF]
EntropyScore-based generative models, grounded in stochastic differential equations (SDEs), excel in producing high-quality data but suffer from slow sampling due to the extensive nonlinear computations required for iterative score function evaluations.
Yunpei Wu, Yoshinobu Kawahara
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Reproducing Kernel Hilbert Spaces and fractal interpolation
Journal of Computational and Applied Mathematics, 2011 The main result of this work is to link two fields: fractal interpolation and reproducing kernel Hilbert space. The corresponding spaces of the simple fractal interpolation functions are also reproducing kernel Hilbert spaces, as specific cases. The authors provide the elements for calculating the respective kernel functions for reproducing kernel ...
Bouboulis, P., Mavroforakis, M.
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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
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Проблемы анализа, 2021 We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
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INFERENCE ON THE REPRODUCING KERNEL HILBERT SPACES
Universal Journal of Mathematics and Mathematical Sciences, 2021 Summary: Learning and interpolation are two extreme variants of the same problem, the object of which is to construct a function which is supposed to reasonably approximate an unknown function of which only a certain number of samples are known.
Agbokou, Komi, Mensah, Yaogan
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A novel method for fractal-fractional differential equations
Alexandria Engineering Journal, 2022 We consider the reproducing kernel Hilbert space method to construct numerical solutions for some basic fractional ordinary differential equations (FODEs) under fractal fractional derivative with the generalized Mittag–Leffler (M-L) kernel.
Nourhane Attia +4 more
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