36 citations · 126 across the 37 of their papers we have counts for
5 papers · 1 filter
A tree-based Polynomial Chaos expansion for surrogate modeling and sensitivity analysis of complex numerical models
Faten Ben Said, Aurélien Alfonsi, Anne Dutfoy +4
This paper introduces Tree-based Polynomial Chaos Expansion (Tree-PCE), a novel surrogate modeling technique designed to efficiently approximate complex numerical models exhibiting…
Euler-type approximation for the invariant measure: An abstract framework
Aurélien Alfonsi, Vlad Bally, Arturo Kohatsu-Higa
We establish a general framework to study the rate of convergence of a Euler type approximation scheme with decreasing time steps to the invariant measure, for a general class of s…
Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case
Aurélien Alfonsi, Benjamin Jourdain
In this paper, we first show continuity of both Wasserstein projections in the convex order when they are unique. We also check that, in arbitrary dimension , the quadratic Wass…
Quadratic Wasserstein distance between Gaussian laws revisited with correlation
Aurélien Alfonsi, Benjamin Jourdain
In this note, we give a simple derivation of the formula obtained in Dowson and Landau (1982), Olkin and Pukelsheim (1982) and Givens and Shortt (1984) for the quadratic Wasserstei…
Weak solutions of Stochastic Volterra Equations in convex domains with general kernels
Eduardo Abi Jaber, Aurélien Alfonsi, Guillaume Szulda
We establish new weak existence results for -dimensional Stochastic Volterra Equations (SVEs) with continuous coefficients and possibly singular one-dimensional non-convolution…