79 citations · 322 across the 37 of their papers we have counts for
4 papers · 1 filter
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements
Elena Beretta, Cecilia Cavaterra, Luca Ratti
In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model, we determine an asymptotic expansion of the pertu…
The invisible power of fairness. How machine learning shapes democracy
Elena Beretta, Antonio Santangelo, Bruno Lepri +2
Many machine learning systems make extensive use of large amounts of data regarding human behaviors. Several researchers have found various discriminatory practices related to the…
Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements
Elena Beretta, Elisa Francini
We derive Lipschitz stability estimates for the Hausdorff distance of polygonal conductivity inclusions in terms of the Dirichlet-to-Neumann map.