3 papers
math.NA2024
The learned range test method for the inverse inclusion problem
Shiwei Sun, Giovanni S. Alberti
We consider the inverse problem consisting of the reconstruction of an inclusion contained in a bounded domain from a single pair of Cauchy data $(u|_{\p…
math.ST2024
On low frequency inference for diffusions without the hot spots conjecture
Giovanni S. Alberti, Douglas Barnes, Aditya Jambhale +1
We remove the dependence on the `hot-spots' conjecture in two of the main theorems of the recent paper of Nickl (2024, Annals of Statistics). Specifically, we characterise the mini…
math.AP2024
On stability for wave propagation and for linear inverse problems
Rima Alaifari, Giovanni S. Alberti, Tandri Gauksson
Stability is a key property of both forward models and inverse problems, and depends on the norms considered in the relevant function spaces. For instance, stability estimates for…