Results 41 to 50 of about 170,682 (322)

Statistical properties of the method of regularization with periodic Gaussian reproducing kernel [PDF]

open access: yes, 2004
The method of regularization with the Gaussian reproducing kernel is popular in the machine learning literature and successful in many practical applications. In this paper we consider the periodic version of the Gaussian kernel regularization.
Brown, Lawrence D., Lin, Yi
core   +4 more sources

Inner Functions in Reproducing Kernel Spaces [PDF]

open access: yes, 2019
In this paper we explore the notion of inner function in a broader context of operator theory.
Cheng, Raymond   +2 more
openaire   +2 more sources

Reproducing kernel functions for linear tenth-order boundary value problems

open access: yesITM Web of Conferences, 2018
Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali   +3 more
doaj   +1 more source

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

open access: yesJournal of the American Statistical Association, 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.
Xiaoxiao Sun   +3 more
semanticscholar   +1 more source

Representations of $*$-semigroups associated to invariant kernels with values adjointable operators. I [PDF]

open access: yes, 2015
We consider positive semidefinite kernels valued in the $*$-algebra of adjointable operators on a VE-space (Vector Euclidean space) and that are invariant under actions of $*$-semigroups.
Ay, Serdar, Gheondea, Aurelian
core   +3 more sources

Quantizations from reproducing kernel spaces [PDF]

open access: yesAnnals of Physics, 2012
The purpose of this work is to explore the existence and properties of reproducing kernel Hilbert subspaces of $L^2(\C, \, d^2z/ )$ based on subsets of complex Hermite polynomials. The resulting coherent states (CS) form a family depending on a nonnegative parameter $s$.
Ali, ST, BAGARELLO, Fabio, Gazeau, JP
openaire   +5 more sources

Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

open access: yesAbstract and Applied Analysis, 2013
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc   +2 more
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

Analysis of unbounded operators and random motion

open access: yes, 2009
We study infinite weighted graphs with view to \textquotedblleft limits at infinity,\textquotedblright or boundaries at infinity. Examples of such weighted graphs arise in infinite (in practice, that means \textquotedblleft very\textquotedblright large ...
Dunford N.   +6 more
core   +1 more source

Predicting Epileptogenic Tubers in Patients With Tuberous Sclerosis Complex Using a Fusion Model Integrating Lesion Network Mapping and Machine Learning

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu   +11 more
wiley   +1 more source

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