7 papers
Quasi-interpolation using generalized Gaussian kernels
Wenwu Gao, Le Hu, Zhengjie Sun +1
This paper focuses on developing a framework for constructing quasi-interpolation with the highest achievable approximation order from generalized Gaussian kernels with the help of…
Expectile Periodograms
Tianbo Chen, Ta-Hsin Li, Hanbing Zhu +1
This paper introduces a novel periodogram-like function, called the expectile periodogram, for modeling spectral features of time series and detecting hidden periodicities. The exp…
Quasi-interpolation with random sampling centers
Wenwu Gao, Le Hu, Xingping Sun +1
We propose and study a general quasi-interpolation framework for stochastic function approximation, which stems and draws motivation from convolution-type solutions for certain pra…
Quantile regression with generalized multiquadric loss function
Wenwu Gao, Dongyi Zheng, Hanbing Zhu
Quantile regression (QR) is now widely used to analyze the effect of covariates on the conditional distribution of a response variable. It provides a more comprehensive picture of…
Spherical quasi-interpolation using scaled zonal kernels
Zhengjie Sun, Wenwu Gao, Xingping Sun
We propose and study a new quasi-interpolation method on spheres featuring the following two-phase construction and analysis. In Phase I, we analyze and characterize a large family…
Quasi-interpolation for the Helmholtz-Hodge decomposition
Nicholas Fisher, Gregory Fasshauer, Wenwu Gao
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…