49 citations · 243 across the 39 of their papers we have counts for
22 papers · 1 filter
Compatibility of Space-Time Kernels with Full, Dynamical, or Compact Support
Tarik Faouzi, Reinhard Furrer, Emilio Porcu
We deal with the comparison of space-time covariance kernels having, either, full, spatially dynamical, or space-time compact support. Such a comparison is based on compatibility o…
The Matérn Model: A Journey through Statistics, Numerical Analysis and Machine Learning
Emilio Porcu, Moreno Bevilacqua, Robert Schaback +1
The Matérn model has been a cornerstone of spatial statistics for more than half a century. More recently, the Matérn model has been central to disciplines as diverse as numerical…
Hybrid Parametric Classes of Isotropic Covariance Functions for Spatial Random Fields
Alfredo Alegría, Fabián Ramírez, Emilio Porcu
Covariance functions are the core of spatial statistics, stochastic processes, machine learning as well as many other theoretical and applied disciplines. The properties of the cov…
Convergence Arguments to Bridge Cauchy and Matérn Covariance Functions
Tarik Faouzi, Emilio Procu, Igor Kondrashuk +1
The Matérn and the Generalized Cauchy families of covariance functions have a prominent role in spatial statistics as well as in a wealth of statistical applications. The Matérn fa…
Rudin Extension Theorems on Product Spaces, Turning Bands, and Random Fields on Balls cross Time
Emilio Porcu, Samuel F Feng, Xavier Emery +1
Characteristic functions that are radially symmetric have a dual interpretation, as they can be used as the isotropic correlation functions of spatial random fields. Extensions of…
Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus
François Bachoc, Ana Peron, Emilio Porcu
The paper deals with multivariate Gaussian random fields defined over generalized product spaces that involve the hypertorus. The assumption of Gaussianity implies the finite dimen…