Results 101 to 110 of about 11,485 (217)

Reproducing Kernel Hilbert Spaces and fractal interpolation

open access: yesJournal of Computational and Applied Mathematics, 2011
AbstractReproducing Kernel Hilbert Spaces (RKHSs) are a very useful and powerful tool of functional analysis with application in many diverse paradigms, such as multivariate statistics and machine learning. Fractal interpolation, on the other hand, is a relatively recent technique that generalizes traditional interpolation through the introduction of ...
Bouboulis, P., Mavroforakis, M.
openaire   +2 more sources

Picard-Reproducing Kernel Hilbert Space Method for Solving Generalized Singular Nonlinear Lane-Emden Type Equations

open access: yes, 2015
An iterative method is discussed with respect to its effectiveness and capability of solving singular nonlinear Lane-Emden type equations using reproducing kernel Hilbert space method combined with the Picard iteration.
B. Azarnavid, F. Parvaneh, S. Abbasbandy
semanticscholar   +1 more source

Evaluating Sea Breezes and Associated Convective Cloud Evolution in the Model Gray Zone

open access: yesJournal of Geophysical Research: Atmospheres, Volume 130, Issue 12, 28 June 2025.
Abstract We characterize convective clouds associated with sea‐breeze circulations (SBC) using multi‐agency observations and multi‐case ensemble model simulations. The focus is on assessing convective cloud lifecycle properties and their merging behavior, as well as the environmental conditions they are embedded in, particularly SBC features. In total,
Travis Hahn   +3 more
wiley   +1 more source

Reproducing kernel Hilbert space method for solving fractal fractional differential equations

open access: yesResults in Physics, 2022
Based on reproducing kernel theory, an analytical approach is considered to construct numerical solutions for some basic fractional ordinary differential equations (FODEs, for short) under fractal fractional derivative with the exponential decay kernel ...
Nourhane Attia   +4 more
doaj  

Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations

open access: yes, 2017
A new approach based on the Reproducing Kernel Hilbert Space Method is proposed to approximate the solution of the second-kind nonlinear integral equations.
Sedigheh Farzaneh Javan   +2 more
semanticscholar   +1 more source

Riccati inequalities and reproducing kernel Hilbert spaces

open access: yesLinear Algebra and its Applications, 2007
AbstractNatural connections between positive semidefinite solutions X of homogeneous algebraic Riccati equations and finite dimensional reproducing kernel de Branges spaces based on a J-inner proper rational square matrix valued functions are known.
Harry Dym, Chen Dubi
openaire   +2 more sources

A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem

open access: yesAbstract and Applied Analysis, 2014
We propose a numerical reconstruction method for solving a time-fractional backward heat conduction problem. Based on the idea of reproducing kernel approximation, we reconstruct the unknown initial heat distribution from a finite set of scattered ...
Zhi-Liang Deng, Xiao-Mei Yang
doaj   +1 more source

Frames, their relatives and reproducing kernel Hilbert spaces

open access: yesJournal of Physics A: Mathematical and Theoretical, 2019
Abstract This paper considers different facets of the interplay between reproducing kernel Hilbert spaces (RKHS) and stable analysis/synthesis processes: first, we analyze the structure of the reproducing kernel of a RKHS using frames and reproducing pairs. Second, we present a new approach to prove the result that finite redundancy of a
Michael Speckbacher, Peter Balazs
openaire   +3 more sources

Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions

open access: yesDemonstratio Mathematica, 2019
Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
doaj   +1 more source

Flexible Expectile Regression in Reproducing Kernel Hilbert Spaces

open access: yesTechnometrics, 2017
Expectile, first introduced by Newey and Powell in 1987 in the econometrics literature, has recently become increasingly popular in risk management and capital allocation for financial institutions due to its desirable properties such as coherence and elicitability.
Yang, Yi, Zhang, Teng, Zou, Hui
openaire   +4 more sources

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