49 citations · 243 across the 39 of their papers we have counts for
6 papers · 1 filter
Sobolev Spaces, Kernels and Discrepancies over Hyperspheres
Simon Hubbert, Emilio Porcu, Chris. J. Oates +1
This work provides theoretical foundations for kernel methods in the hyperspherical context. Specifically, we characterise the native spaces (reproducing kernel Hilbert spaces) and…
Nonseparable Space-Time Stationary Covariance Functions on Networks cross Time
Emilio Porcu, Philip A. White, Marc G. Genton
The advent of data science has provided an increasing number of challenges with high data complexity. This paper addresses the challenge of space-time data where the spatial domain…
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…
Dimension Walks on Generalized Spaces
Marcos Lopez de Prado, Ana Paula Peron, Emilio Porcu
Let be positive integers. We call generalized spaces the cartesian product of the -dimensional sphere, , with the -dimensional Euclidean space, $\mathbb{R…
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…