Learning with partition of unity-based kriging estimators

R Cavoretto, A De Rossi, E Perracchione - Applied Mathematics and …, 2023 - Elsevier
For supervised regression tasks we propose and study a new tool, namely Kriging Estimator
based on the Partition of Unity (KEPU) method. Its background belongs to the framework of …

Statistical inverse learning problems with random observations

T Helin, N Mücke - arXiv preprint arXiv:2312.15341, 2023 - arxiv.org
We provide an overview of recent progress in statistical inverse problems with random
experimental design, covering both linear and nonlinear inverse problems. Different …

Moving least squares approximation using variably scaled discontinuous weight function

MK Esfahani, S De Marchı… - Constructive Mathematical …, 2023 - dergipark.org.tr
Functions with discontinuities appear in many applications such as image reconstruction,
signal processing, optimal control problems, interface problems, engineering applications …

Benign overfitting in Fixed Dimension via Physics-Informed Learning with Smooth Inductive Bias

H Wong, W Wu, F Liu, Y Lu - arXiv preprint arXiv:2406.09194, 2024 - arxiv.org
Recent advances in machine learning have inspired a surge of research into reconstructing
specific quantities of interest from measurements that comply with certain physical laws …

Mapped Variably Scaled Kernels: Applications to Solar Imaging

F Marchetti, E Perracchione, A Volpara… - … Science and Its …, 2023 - Springer
Variably scaled kernels and mapped bases constructed via the so-called fake nodes
approach are two different strategies to provide adaptive bases for function interpolation. In …

Numerical Modeling of Water Distribution Systems Using the Graph p-Laplacian: Variational and Duality Methods with Applications

N Segala - 2024 - tesidottorato.depositolegale.it
Numerical Modeling of Water Distribution Systems Using the Graph p-Laplacian: Variational
and Duality Methods with Applications Page 1 Universit`a degli Studi di Padova Dipartimento …

[PDF][PDF] A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019

NHF Beebe - 2024 - ctan.math.utah.edu
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …