17 citations · 51 across the 15 of their papers we have counts for
18 papers
Accelerated Bayesian inference of plasma profiles with self-consistent MHD equilibria at W7-X via neural networks
Andrea Merlo, Andrea Pavone, Daniel Böckenhoff +10
High- operations require a fast and robust inference of plasma parameters with a self-consistent MHD equilibrium. Precalculated MHD equilibria are usually employe…
Carnot rectifiability and Alberti representations
Gioacchino Antonelli, Enrico Le Donne, Andrea Merlo
A metric measure space is said to be Carnot-rectifiable if it can be covered up to a null set by countably many biLipschitz images of compact sets of a fixed Carnot group. In this…
Generic uniqueness for the Plateau problem
Gianmarco Caldini, Andrea Marchese, Andrea Merlo +1
Given a complete Riemannian manifold which is a Lipschitz neighbourhood retract of dimension , of class and an oriented, closed subm…
On the converse of Pansu's Theorem
Guido De Philippis, Andrea Marchese, Andrea Merlo +2
We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pa…
On the density problem in the parabolic space
Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti
In this work we extend many classical results concerning the relationship between densities, tangents and rectifiability to the parabolic spaces, namely equipped…
Physics-regularized neural network of the ideal-MHD solution operator in Wendelstein 7-X configurations
Andrea Merlo, Daniel Böckenhoff, Jonathan Schilling +3
The computational cost of constructing 3D magnetohydrodynamic (MHD) equilibria is one of the limiting factors in stellarator research and design. Although data-driven approaches ha…