On the selection of a better radial basis function and its shape parameter in interpolation problems
CS Chen, A Noorizadegan, DL Young… - Applied Mathematics and …, 2023 - Elsevier
A traditional criterion to calculate the numerical stability of the interpolation matrix is its
standard condition number. In this paper, it is observed that the effective condition number (κ …
standard condition number. In this paper, it is observed that the effective condition number (κ …
LEarning Surface Ozone from satellite columns (LESO): A regional daily estimation framework for surface ozone monitoring in China
Continuously monitoring surface ozone (O 3) spatial distribution and forecasting its
variations are beneficial to improving air quality and ensuring public health in China …
variations are beneficial to improving air quality and ensuring public health in China …
Satellite-derived estimates of surface ozone by LESO: Extended application and performance evaluation
Surface O 3 pollution severely threats human health and crop production across the globe.
Data-driven machine learning approaches are broadly used for estimating surface O 3 …
Data-driven machine learning approaches are broadly used for estimating surface O 3 …
A compact radial basis function partition of unity method
S Arefian, D Mirzaei - Computers & Mathematics with Applications, 2022 - Elsevier
In this work we develop the standard Hermite interpolation based RBF-generated finite
difference (RBF-HFD) method into a new faster and more accurate technique based on …
difference (RBF-HFD) method into a new faster and more accurate technique based on …
A stochastic extended Rippa's algorithm for LpOCV
L Ling, F Marchetti - Applied Mathematics Letters, 2022 - Elsevier
In kernel-based approximation, the tuning of the so-called shape parameter is a
fundamental step for achieving an accurate reconstruction. Recently, the popular Rippa's …
fundamental step for achieving an accurate reconstruction. Recently, the popular Rippa's …
Data-driven kernel designs for optimized greedy schemes: A machine learning perspective
T Wenzel, F Marchetti, E Perracchione - SIAM Journal on Scientific Computing, 2024 - SIAM
Thanks to their easy implementation via radial basis functions (RBFs), meshfree kernel
methods have proved to be an effective tool for, eg, scattered data interpolation, PDE …
methods have proved to be an effective tool for, eg, scattered data interpolation, PDE …
[HTML][HTML] Efficient truncated randomized SVD for mesh-free kernel methods
This paper explores the utilization of randomized SVD (rSVD) in the context of kernel
matrices arising from radial basis functions (RBFs) for the purpose of solving interpolation …
matrices arising from radial basis functions (RBFs) for the purpose of solving interpolation …
LESO: A ten-year ensemble of satellite-derived intercontinental hourly surface ozone concentrations
This study presents a novel ensemble of surface ozone (O3) generated by the LEarning
Surface Ozone (LESO) framework. The aim of this study is to investigate the spatial and …
Surface Ozone (LESO) framework. The aim of this study is to investigate the spatial and …
[HTML][HTML] Eddy covariance fluxes over managed ecosystems extrapolated to field scales at fine spatial resolutions
To enable an evidence-based management of ecosystems to adapt to the climate crisis, we
require fine spatiotemporal resolution estimates of carbon, water, and energy fluxes at the …
require fine spatiotemporal resolution estimates of carbon, water, and energy fluxes at the …
[HTML][HTML] Bayesian approach for radial kernel parameter tuning
In this paper we present a new fast and accurate method for Radial Basis Function (RBF)
approximation, including interpolation as a special case, which enables us to effectively find …
approximation, including interpolation as a special case, which enables us to effectively find …