2 citations · 2 across the 5 of their papers we have counts for
5 papers
Paths of Stochastic Processes: a Sudden Turnaround
Robert Schaback, Emilio Porcu
The commonly accepted definition of paths starts from a random field but ignores the problem of setting joint distributions of infinitely many random variables for defining paths p…
Optimal Compactly Supported Functions in Sobolev Spaces
Robert Schaback
This paper constructs unique compactly supported functions in Sobolev spaces that have minimal norm, maximal support, and maximal central value, under certain renormalizations. The…
Greedy Adaptive Local Recovery of Functions in Sobolev Spaces
Robert Schaback
There are many ways to upsample functions from multivariate scattered data locally, using only a few neighbouring data points of the evaluation point. The position and number of th…
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…
-Sets for Kernel-Based Spaces
Robert Schaback
The concept of -sets as introduced by Collatz in 1956 was very useful in univariate Chebyshev approximation by polynomials or Chebyshev spaces. In the multivariate setting, the…