Results 41 to 50 of about 16,403 (208)

Some error estimates for the reproducing kernel Hilbert spaces method

open access: yesJournal of Computational and Applied Mathematics, 2016
In this paper we derive some effective error estimates for the reproducing kernel Hilbert space method applied to a general class of linear initial or boundary value problems. The first error estimate is computable and yields a worst case bound in the form of a percentage of the norm of the true solution which has not yet been discussed according to ...
Saeid Abbasbandy, Babak Azarnavid
openaire   +2 more sources

A new method for interpolating in a convex subset of a Hilbert space [PDF]

open access: yes, 2017
International audienceIn this paper, interpolating curve or surface with linear inequality constraints is considered as a general convex optimization problem in a Reproducing Kernel Hilbert Space.
Bay, Xavier   +2 more
core   +4 more sources

Reproducing Kernel Hilbert Spaces Regression Methods for Genomic Assisted Prediction of Quantitative Traits [PDF]

open access: yesGenetics, 2008
Abstract Reproducing kernel Hilbert spaces regression procedures for prediction of total genetic value for quantitative traits, which make use of phenotypic and genomic data simultaneously, are discussed from a theoretical perspective.
Johannes B. C. H. M. van Kaam   +3 more
openaire   +3 more sources

Revisiting Kernelized Locality-Sensitive Hashing for Improved Large-Scale Image Retrieval [PDF]

open access: yes, 2014
We present a simple but powerful reinterpretation of kernelized locality-sensitive hashing (KLSH), a general and popular method developed in the vision community for performing approximate nearest-neighbor searches in an arbitrary reproducing kernel ...
Jiang, Ke, Kulis, Brian, Que, Qichao
core   +1 more source

Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

open access: yesAbstract and Applied Analysis, 2014
A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition.
Jing Niu, Ping Li
doaj   +1 more source

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

open access: yesAin Shams Engineering Journal, 2018
In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj   +1 more source

A new kernel method for the uniform approximation in reproducing kernel Hilbert spaces

open access: yesApplied Mathematics Letters
We are concerned with the uniform approximation of functions of a generic reproducing kernel Hilbert space (RKHS). In this general context, classical approximations are given by Fourier orthogonal projections (if we know the Fourier coefficients) and their discrete versions (if we know the function values on well-distributed nodes).
Themistoclakis, Woula, Van Barel, Marc
openaire   +2 more sources

Computing Functions of Random Variables via Reproducing Kernel Hilbert Space Representations

open access: yes, 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 ...
Fukumizu, K.   +4 more
core   +1 more source

Big Data and AI‐Powered Modeling: A Pathway to Sustainable Precision Animal Nutrition

open access: yesAdvanced Science, EarlyView.
This review summarizes the current landscape of big data and AI‐powered modeling in animal nutrition, covering techniques including intelligent data acquisition, data augmentation, explainable machine learning, heuristic algorithms, and life cycle assessment‐based sustainability evaluation.
Shuai Zhang   +3 more
wiley   +1 more source

A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls

open access: yesAbstract and Applied Analysis, 2013
The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. A new method called the reproducing kernel Hilbert space method (RKHSM) is briefly introduced.
Mustafa Inc   +2 more
doaj   +1 more source

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