Results 71 to 80 of about 1,512 (160)

Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces

Data-driven spectral analysis of Koopman operators is a powerful tool for understanding numerous real-world dynamical systems, from neuronal activity to variations in sea surface temperature. The Koopman operator acts on a function space and is most commonly studied on the space of square-integrable functions.
Boullé, Nicolas, Colbrook, Matthew J., Conradie, Gustav   +2 more
openaire   +2 more sources

A numerical approach for solving the high-order nonlinear singular Emden–Fowler type equations

Advances in Difference Equations, 2018
Reproducing kernel Hilbert space method (RKHSM) is an analytical technique, which can overcome the difficulty at the singular point of non-homogeneous, linear singular initial value problems; especially when the singularity appears on the right-hand side
Atta Dezhbord, Taher Lotfi, Katayoun Mahdiani   +2 more
doaj   +1 more source

Reproducing Kernel Hilbert Space Method for Solving Nonlinear Integro-Differential Equations

Basrah Researches Sciences
In 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
openaire   +1 more source

Semi-parametric genomic-enabled prediction of genetic values using reproducing kernel Hilbert spaces methods

Genetics Research, 2010
SummaryPrediction of genetic values is a central problem in quantitative genetics. Over many decades, such predictions have been successfully accomplished using information on phenotypic records and family structure usually represented with a pedigree.
Gustavo, De los Campos, Daniel, Gianola, Guilherme J M, Rosa, Kent A, Weigel, José, Crossa   +4 more
openaire   +2 more sources

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, Nicolás Hernández, Alberto Muñoz, Javier M. Moguerza   +3 more
doaj   +1 more source

Numerical Simulation of the Kudryashov–Sinelshchikov Equation for Modeling Pressure Waves in Liquids with Gas Bubbles

Mathematics
The Kudryashov–Sinelshchikov equation (KSE) is crucial in modeling pressure waves in liquids containing gas bubbles, capturing both nonlinear wave phenomena and dispersion effects.
Gayatri Das, Bibekananda Sitha, Rajesh Kumar Mohapatra, Predrag Stanimirović, Tzung-Pei Hong   +4 more
doaj   +1 more source

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, Lahouel, Kamel, Nguyen, Chau, Kolshorn, Anthony, Fisher, Nicholas, Jedynak, Bruno   +5 more
openaire   +2 more sources

REPRODUCING KERNEL HILBERT SPACE METHOD]{REPRESENTATION FOR THE REPRODUCING KERNEL HILBERT SPACE METHOD FOR A NONLINEAR SYSTEM

Hacettepe Journal of Mathematics and Statistics, 2018
Esra Karataş Akgül, Ali Akgül, Yasir Khan, Dumitru Baleanu   +3 more
openaire   +1 more source

The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions

Boundary Value Problems
In 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, Reza Saadati, Javad Vahidi, Chenkuan Li, Tofigh Allahviranloo   +4 more
doaj   +1 more source

Expected integration approximation under general equal measure partition

Results in Applied Mathematics
In this paper, we first use an L2−discrepancy bound to give the expected uniform integration approximation for functions in the Sobolev space H1(K) equipped with a reproducing kernel.
Xiaoda Xu, Dianqi Han, Zongyou Li, Xiangqin Lin, Zhidong Qi, Lai Zhang   +5 more
doaj   +1 more source