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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...
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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...
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01/13/2023
Hybrid Parametric Classes of Isotropic Covariance Functions for Spatial Random Fields
Covariance functions are the core of spatial statistics, stochastic proc...
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11/16/2022
Sobolev Spaces, Kernels and Discrepancies over Hyperspheres
This work provides theoretical foundations for kernel methods in the hyp...
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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...
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05/10/2022
Dimension Walks on Generalized Spaces
Let d,k be positive integers. We call generalized spaces the cartesian p...
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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...
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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...
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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...
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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 ...
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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. ...
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07/29/2020
Asymptotically Equivalent Prediction in Multivariate Geostatistics
Cokriging is the common method of spatial interpolation (best linear unb...
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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...
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10/11/2018
A Riemannian-Stein Kernel Method
This paper presents a theoretical analysis of numerical integration base...
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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...
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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...
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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...
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07/06/2018