A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method [PDF]
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method [PDF]
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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Symmetric Operators and Reproducing Kernel Hilbert Spaces [PDF]
Complex Analysis and Operator Theory, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin, R. T.
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Optimal Penalized Function-on-Function Regression Under a Reproducing Kernel Hilbert Space Framework [PDF]
Journal of the American Statistical Association, 2018 Xiao Wang, Ping Ma, Pang Du
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Skill Disentanglement in Reproducing Kernel Hilbert Space [PDF]
Proceedings of the AAAI Conference on Artificial IntelligenceUnsupervised Skill Discovery aims at learning diverse skills without any extrinsic rewards and leverage them as prior for learning a variety of downstream tasks. Existing approaches to unsupervised reinforcement learning typically involve discovering skills through empowerment-driven techniques or by maximizing entropy to encourage exploration. However,
Vedant Dave, Elmar Rueckert
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A Reproducing Kernel Hilbert Space approach to singular local stochastic volatility McKean-Vlasov models [PDF]
, 2022 Motivated by the challenges related to the calibration of financial models, we consider the problem of numerically solving a singular McKean-Vlasov equation $$ d X_t= \sigma(t,X_t) X_t \frac{\sqrt v_t}{\sqrt {E[v_t|X_t]}}dW_t, $$ where $W$ is a Brownian ...
Bayer, Christian +4 more
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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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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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Integration in reproducing kernel Hilbert spaces of Gaussian kernels [PDF]
Mathematics of Computation, 2021 The Gaussian kernel plays a central role in machine learning, uncertainty quantification and scattered data approximation, but has received relatively little attention from a numerical analysis standpoint. The basic problem of finding an algorithm for efficient numerical integration of functions reproduced by Gaussian kernels has ...
Toni Karvonen +2 more
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Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]
Journal of Hyperstructures, 2016 This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi +2 more
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