Results 241 to 250 of about 63,273 (275)

Reproducing Kernels and Discretization

2015
We give a short survey of a general discretization method based on the theory of reproducing kernels. We believe our method will become the next generation method for solving analytical problems by computers. For example, for solving linear PDEs with general boundary or initial value conditions, independently of the domains.
Castro, L. P., Fujiwara, H., Rodrigues, M. M., Saitoh, S., Tuan, V. K.   +4 more
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Reproducing Kernels and Finite Order Kernels

1991
Recent literature on density and regression function estimation has shown the interest of kernels of order s, i.e. kernels with (s-1) vanishing moments. We define here a multi-stage procedure to build estimates based on increasing order kernels and leading to a data-driven choice of both the order and the smoothing parameter. Some asymptotic as well as
openaire   +1 more source

Reproducing kernels and Riccati equations.

2001
Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
openaire   +1 more source

Reproducing kernel Hilbert spaces

2011
Hinter der Konstruktion von Hilberträumen mit reproduzierendem Kern verbirgt sich eine Theorie von Bijektionen bzw. Transformationen, die einen positiv definiten Kern mit einem Hilbertraum von Funktionen verbindet. Das Ziel dieser Diplomarbeit ist es einen Überblick über die Theorie der Hilberträume mit reproduzierendem Kern und ihrer Anwendungen zu ...
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Theory of Reproducing Kernels

2003
In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.
openaire   +1 more source

Reproducing Kernel Hilbert Spaces

2022
Lucas Valentin Umann, Wolfgang Karl Härdle   +1 more
openaire   +2 more sources

Reproducing Kernels

1974
openaire   +1 more source

Reproducing kernel particle methods

International Journal for Numerical Methods in Fluids, 1995
Wing Kam Liu
exaly  

Reproducing Kernels

2017
openaire   +1 more source

Quantile Regression in Reproducing Kernel Hilbert Spaces

Journal of the American Statistical Association, 2007
Yufeng Liu, Ji Zhu
exaly