Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Fasshauer, Gregory"'
The paper aims at proposing an efficient and stable quasi-interpolation based method for numerically computing the Helmholtz-Hodge decomposition of a vector field. To this end, we first explicitly construct a matrix kernel in a general form from poly
Externí odkaz:
http://arxiv.org/abs/2412.04600
The paper proposes a general quasi-interpolation scheme for high-dimensional function approximation. To facilitate error analysis, we view our quasi-interpolation as a two-step procedure. In the first step, we approximate a target function by a purpo
Externí odkaz:
http://arxiv.org/abs/2409.14278
Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation an
Externí odkaz:
http://arxiv.org/abs/1812.06665
In spatial statistics, kriging models are often designed using a stationary covariance structure; this translation-invariance produces models which have numerous favorable properties. This assumption can be limiting, though, in circumstances where th
Externí odkaz:
http://arxiv.org/abs/1812.00173
Publikováno v:
In Applied Mathematics Letters November 2022 133
Publikováno v:
In Applied and Computational Harmonic Analysis September 2022 60:471-488
Scattered data interpolation schemes using kriging and radial basis functions (RBFs) have the advantage of being meshless and dimensional independent, however, for the data sets having insufficient observations, RBFs have the advantage over geostatis
Externí odkaz:
http://arxiv.org/abs/1512.07584
Publikováno v:
In Computers and Mathematics with Applications 1 May 2019 77(9):2354-2368
Solving Support Vector Machines in Reproducing Kernel Banach Spaces with Positive Definite Functions
Publikováno v:
Appl. Comput. Harmon. Anal., 38:115-139, 2015
In this paper we solve support vector machines in reproducing kernel Banach spaces with reproducing kernels defined on nonsymmetric domains instead of the traditional methods in reproducing kernel Hilbert spaces. Using the orthogonality of semi-inner
Externí odkaz:
http://arxiv.org/abs/1209.1171