30 citations · 180 across the 40 of their papers we have counts for
4 papers · 1 filter
Improved spectral convergence rates for graph Laplacians on epsilon-graphs and k-NN graphs
Jeff Calder, Nicolas Garcia Trillos
In this paper we improve the spectral convergence rates for graph-based approximations of Laplace-Beltrami operators constructed from random data. We utilize regularity of the cont…
Spatial extreme values: variational techniques and stochastic integrals
Nicolas Garcia Trillos, Ryan Murray, Daniel Sanz-Alonso
This work employs variational techniques to revisit and expand the construction and analysis of extreme value processes. These techniques permit a novel study of spatial statistics…
Continuum Limit of Posteriors in Graph Bayesian Inverse Problems
Nicolas Garcia Trillos, Daniel Sanz-Alonso
We consider the problem of recovering a function input of a differential equation formulated on an unknown domain . We assume to have access to a discrete domain $M_n=\{x_1, \do…
On the rate of convergence of empirical measures in -transportation distance
Nicolás García Trillos, Dejan Slepčev
We consider random i.i.d. samples of absolutely continuous measures on bounded connected domains. We prove an upper bound on the -transportation distance between the measur…