.png){kind=icon}
返回
RATIONAL KERNEL-BASED INTERPOLATION FOR COMPLEX-VALUED FREQUENCY RESPONSE FUNCTIONS]
.png){kind=icon}
OA
AI
DOI：10.1137/23M1588901.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This work is concerned with the kernel-based approximation of a complex-valued function from data, where the response function of a partial differential equation in the frequency domain is of particular interest. In this setting, kernel methods are employed more and more frequently; however, standard kernels do not perform well. Moreover, the role and mathematical implications of the underlying pair of kernels, which arise naturally in the complex-valued case, remain to be addressed. We introduce new reproducing kernel Hilbert spaces of complex-valued functions and formulate the problem of complex-valued interpolation with a kernel pair as minimum-norm interpolation in these spaces. Moreover, we combine the interpolant with a low-order rational function, where the order is adaptively selected based on a new model selection criterion. Numerical results on examples from different fields, including electromagnetics and acoustics examples, illustrate the performance of the method in comparison to available rational approximation methods.
Keyword:
complex-valued kernel methods
dynamical systems
frequency response function
model selection
rational approximation
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
引用论文
Multiple parts process planning in serial-parallel flexible flow lines: part I—process plan modeling framework串联-并联柔性流水线中的多部件工艺规划：第一部分——工艺规划建模框架
.png){kind=icon}
PREAI
分享收藏A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace–Beltrami operator
OAAI
OAAI分享收藏分享收藏
查看更多内容