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 …

LEarning Surface Ozone from satellite columns (LESO): A regional daily estimation framework for surface ozone monitoring in China

S Zhu, J Xu, C Yu, Y Wang, Q Zeng… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Continuously monitoring surface ozone (O 3) spatial distribution and forecasting its
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

S Zhu, J Xu, J Zeng, C Yu, Y Wang, H Yan - International Journal of Applied …, 2022 - Elsevier
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 …

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 …

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 …

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 …

[HTML][HTML] Efficient truncated randomized SVD for mesh-free kernel methods

A Noorizadegan, CS Chen, R Cavoretto… - … & Mathematics with …, 2024 - Elsevier
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 …

LESO: A ten-year ensemble of satellite-derived intercontinental hourly surface ozone concentrations

S Zhu, J Xu, J Zeng, C Yu, Y Wang, H Wang, J Shi - Scientific Data, 2023 - nature.com
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 …

[HTML][HTML] Eddy covariance fluxes over managed ecosystems extrapolated to field scales at fine spatial resolutions

S Zhu, L Olde, K Lewis, T Quaife, L Cardenas… - Agricultural and Forest …, 2023 - Elsevier
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 …

[HTML][HTML] Bayesian approach for radial kernel parameter tuning

R Cavoretto, A De Rossi, S Lancellotti - Journal of Computational and …, 2024 - Elsevier
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 …