Spatial regression with partial differential equation regularisation

LM Sangalli - International Statistical Review, 2021 - Wiley Online Library
This work gives an overview of an innovative class of methods for the analysis of spatial and
of functional data observed over complicated two‐dimensional domains. This class is based …

[HTML][HTML] A nonparametric penalized likelihood approach to density estimation of space-time point patterns

B Begu, S Panzeri, E Arnone, M Carey, LM Sangalli - Spatial Statistics, 2024 - Elsevier
In this work, we consider space-time point processes and study their continuous space-time
evolution. We propose an innovative nonparametric methodology to estimate the unknown …

A roughness penalty approach to estimate densities over two-dimensional manifolds

E Arnone, F Ferraccioli, C Pigolotti… - Computational Statistics & …, 2022 - Elsevier
An innovative nonparametric method for density estimation over general two-dimensional
Riemannian manifolds is proposed. The method follows a functional data analysis …

A new adaptive local polynomial density estimation procedure on complicated domains

K Bertin, N Klutchnikoff, F Ouimet - arXiv preprint arXiv:2308.01156, 2023 - arxiv.org
This paper presents a novel approach for pointwise estimation of multivariate density
functions on known domains of arbitrary dimensions using nonparametric local polynomial …

[PDF][PDF] Statistical inference for mean function of longitudinal imaging data over complicated domains

Q Hu, J Li - Statistica Sinica, 2024 - stat.ruc.edu.cn
We propose a novel procedure for estimating the mean function of longitudinal imaging data
with inherent spatial and temporal correlation. We depict the dependence between …

Modeling Anisotropy and Non‐Stationarity Through Physics‐Informed Spatial Regression

M Tomasetto, E Arnone, LM Sangalli - Environmetrics, 2024 - Wiley Online Library
Many spatially dependent phenomena that are of interest in environmental problems are
characterized by strong anisotropy and non‐stationarity. Moreover, the data are often …

Implicitly Normalized Explicitly Regularized Density Estimation

M Kozdoba, B Perets, S Mannor - arXiv preprint arXiv:2307.13763, 2023 - arxiv.org
We propose a new approach to non-parametric density estimation, that is based on
regularizing a Sobolev norm of the density. This method is provably different from Kernel …

Nonparametric Density Estimation for Data Scattered on Irregular Spatial Domains: A Likelihood-Based Approach Using Bivariate Penalized Spline Smoothing

K Das, S Yu, G Wang, L Wang - arXiv preprint arXiv:2408.16963, 2024 - arxiv.org
Accurately estimating data density is crucial for making informed decisions and modeling in
various fields. This paper presents a novel nonparametric density estimation procedure that …

Bona fide riesz projections for density estimation

M Unser - ICASSP 2022-2022 IEEE International Conference …, 2022 - ieeexplore.ieee.org
The projection of sample measurements onto a reconstruction space represented by a basis
on a regular grid is a powerful and simple approach to estimate a probability density …

Nonparametric logistic regression based on sparse triangulation over a compact domain

S Kim, KY Bak - Communications for Statistical Applications and …, 2024 - koreascience.kr
Based on the investigation of logistic regression models utilizing sparse triangulation within
a compact domain in ℝ 2, this study addresses the limited research extending the triogram …