Results 1 to 10 of about 13,358 (271)

Approximations of the Reproducing Kernel Hilbert Space (RKHS) Embedding Method over Manifolds [PDF]

open access: greenIEEE Conference on Decision and Control, 2020
The reproducing kernel Hilbert space (RKHS) embedding method is a recently introduced estimation approach that seeks to identify the unknown or uncertain function in the governing equations of a nonlinear set of ordinary differential equations (ODEs ...
Jia Guo   +2 more
openalex   +3 more sources

Optimal Penalized Function-on-Function Regression under a Reproducing Kernel Hilbert Space Framework. [PDF]

open access: yesJ Am Stat Assoc, 2018
Many scientific studies collect data where the response and predictor variables are both functions of time, location, or some other covariate. Understanding the relationship between these functional variables is a common goal in these studies.
Sun X, Du P, Wang X, Ma P.
europepmc   +3 more sources

Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation

open access: yesJournal of Taibah University for Science, 2019
Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
doaj   +2 more sources

Computing Functions of Random Variables via Reproducing Kernel Hilbert Space Representations [PDF]

open access: greenStatistics and computing, 2015
We describe a method to perform functional operations on probability distributions of random variables. The method uses reproducing kernel Hilbert space representations of probability distributions, and it is applicable to all operations which can be ...
Bernhard Schölkopf   +4 more
openalex   +2 more sources

Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations

open access: yesAdvances in Difference Equations, 2018
In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah   +3 more
doaj   +2 more sources

Reproducing Kernel Hilbert Space Approach to Multiresponse Smoothing Spline Regression Function

open access: yesSymmetry, 2022
In statistical analyses, especially those using a multiresponse regression model approach, a mathematical model that describes a functional relationship between more than one response variables and one or more predictor variables is often involved.
Budi Lestari   +3 more
semanticscholar   +1 more source

An Interpretable Denoising Layer for Neural Networks Based on Reproducing Kernel Hilbert Space and its Application in Machine Fault Diagnosis

open access: yesChinese Journal of Mechanical Engineering, 2021
Deep learning algorithms based on neural networks make remarkable achievements in machine fault diagnosis, while the noise mixed in measured signals harms the prediction accuracy of networks.
Baoxuan Zhao   +5 more
semanticscholar   +1 more source

Discovering Causal Structure with Reproducing-Kernel Hilbert Space ε-Machines [PDF]

open access: yesChaos, 2020
We merge computational mechanics' definition of causal states (predictively equivalent histories) with reproducing-kernel Hilbert space (RKHS) representation inference.
N. Brodu, J. Crutchfield
semanticscholar   +1 more source

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