Emilio Porcu | DeepAI

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∙ 06/12/2023

Compatibility of Space-Time Kernels with Full, Dynamical, or Compact Support

We deal with the comparison of space-time covariance kernels having, eit...

0 Tarik Faouzi, et al. ∙

∙ 03/05/2023

The Matérn Model: A Journey through Statistics, Numerical Analysis and Machine Learning

The Matérn model has been a cornerstone of spatial statistics for more t...

0 Emilio Porcu, et al. ∙

∙ 01/13/2023

Hybrid Parametric Classes of Isotropic Covariance Functions for Spatial Random Fields

Covariance functions are the core of spatial statistics, stochastic proc...

0 Alfredo Alegría, et al. ∙

∙ 11/16/2022

Sobolev Spaces, Kernels and Discrepancies over Hyperspheres

This work provides theoretical foundations for kernel methods in the hyp...

0 Simon Hubbert, et al. ∙

∙ 08/05/2022

Nonseparable Space-Time Stationary Covariance Functions on Networks cross Time

The advent of data science has provided an increasing number of challeng...

0 Emilio Porcu, et al. ∙

∙ 05/10/2022

Dimension Walks on Generalized Spaces

Let d,k be positive integers. We call generalized spaces the cartesian p...

0 Marcos Lopez de Prado, et al. ∙

∙ 04/11/2022

Rudin Extension Theorems on Product Spaces, Turning Bands, and Random Fields on Balls cross Time

Characteristic functions that are radially symmetric have a dual interpr...

0 Emilio Porcu, et al. ∙

∙ 02/22/2022

Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus

The paper deals with multivariate Gaussian random fields defined over ge...

0 François Bachoc, et al. ∙

∙ 06/28/2021

A deep look into the Dagum family of isotropic covariance functions

The Dagum family of isotropic covariance functions has two parameters th...

0 Tarik Faouzi, et al. ∙

∙ 01/13/2021

The ℱ-family of covariance functions: A Matérn analogue for modeling random fields on spheres

The Matérn family of isotropic covariance functions has been central to ...

0 Alfredo Alegría, et al. ∙

∙ 01/11/2021

Flexible Validity Conditions for the Multivariate Matérn Covariance in any Spatial Dimension and for any Number of Components

Flexible multivariate covariance models for spatial data are on demand. ...

0 Xavier Emery, et al. ∙

∙ 07/29/2020

Asymptotically Equivalent Prediction in Multivariate Geostatistics

Cokriging is the common method of spatial interpolation (best linear unb...

0 François Bachoc, et al. ∙

∙ 06/17/2019

Minimax Density Estimation on Sobolev Spaces With Dominating Mixed Smoothness

We study minimax density estimation on the product space R^d_1×R^d_2. We...

0 Galatia Cleanthous, et al. ∙

∙ 10/11/2018

A Riemannian-Stein Kernel Method

This paper presents a theoretical analysis of numerical integration base...

0 Alessandro Barp, et al. ∙

∙ 07/15/2018

Modeling Daily Seasonality of Mexico City Ozone using Nonseparable Covariance Models on Circles Cross Time

Mexico City tracks ground-level ozone levels to assess compliance with n...

0 Philip A. White, et al. ∙

∙ 07/11/2018

Fast and exact simulation of isotropic Gaussian random fields on S^2 and S^2×R

We provide a method for fast and exact simulation of Gaussian random fie...

0 Francisco Cuevas, et al. ∙

∙ 07/11/2018

Towards a Complete Picture of Covariance Functions on Spheres Cross Time

With the advent of wide-spread global and continental-scale spatiotempor...

0 Philip White, et al. ∙

∙ 07/06/2018

Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres

We consider the class Ψ_d of continuous functions ψ [0,π] →R, with ψ(0)=...

0 Ahmed Arafat, et al. ∙

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