Entropy Measures for Stochastic Processes with Applications in Functional Anomaly Detection
Entropy, 2018 We propose a definition of entropy for stochastic processes. We provide a reproducing kernel Hilbert space model to estimate entropy from a random sample of realizations of a stochastic process, namely functional data, and introduce two approaches to ...
Gabriel Martos +3 more
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Reproducing Kernel Hilbert Space Method for Solving Nonlinear Integro-Differential Equations
Basrah Researches SciencesIn this work, the reproducing kernel Hilbert space method (RKHSM) was used to find a numerical solutions to nonlinear integro-differential equations (NIDEs) on the form of finite series. The results showed that the approximate solution are converges to the exact solution of the NIDEs, which confirms the effectiveness of RKHSM as a reliable and ...
Wafaa Kamel, Hameeda Al-hamedi
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A Reproducing Kernel Method for Solving a Class of Nonlinear Systems of PDEs
Mathematical Modelling and Analysis, 2014 This paper is concerned with a technique for solving a class of nonlinear systems of partial differential equations (PDEs) in the reproducing kernel Hilbert space. The analytical solution is represented in the form of series. An iterative method is given
Maryam Mohammadi, Reza Mokhtari
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Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations [PDF]
, 2017 Sedigheh Farzaneh Javan +2 more
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APPLICATION OF MULTISTEP REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GIVING UP SMOKING MODEL [PDF]
, 2016 Samia Bushnaq +2 more
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ROCK: A variational formulation for occupation kernel methods in Reproducing Kernel Hilbert Spaces
We present a Representer Theorem result for a large class of weak formulation problems. We provide examples of applications of our formulation both in traditional machine learning and numerical methods as well as in new and emerging techniques. Finally we apply our formulation to generalize the multivariate occupation kernel (MOCK) method for learning ...
Rielly, Victor +5 more
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Reproducing Kernel Hilbert Space, Mercer's Theorem, Eigenfunctions, Nyström Method, and Use of Kernels in Machine Learning: Tutorial and Survey [PDF]
, 2021 Benyamin Ghojogh +3 more
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A numerical method based on the reproducing kernel Hilbert space method for the solution of fifth-order boundary-value problems [PDF]
, 2013 Mustafa İnç, Ali Akgül, Mehdi Dehghan
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Hacettepe Journal of Mathematics and Statistics, 2018 Esra Karataş Akgül +3 more
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Boundary Value ProblemsIn this paper, we investigate the fractional hybrid integro-differential equations with Dirichlet boundary conditions. We first prove the existence of a unique solution for the equation using a fixed point technique.
Zahra Eidinejad +4 more
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