L. Ratti

activity

20162023

most citedA reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem

14 citations · 29 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.ST2021★ 3 cited

Shearlet-based regularization in statistical inverse learning with an application to X-ray tomography

Tatiana A. Bubba, Luca Ratti

Statistical inverse learning theory, a field that lies at the intersection of inverse problems and statistical learning, has lately gained more and more attention. In an effort to…

stat.ML2021★ 2 cited

Learning the optimal Tikhonov regularizer for inverse problems

Giovanni S. Alberti, Ernesto De Vito, Matti Lassas +2

In this work, we consider the linear inverse problem $y = A x + ε$ , where $A : X \to Y$ is a known linear operator between the separable Hilbert spaces $X$ and $Y$ , $x$ is a random v…

stat.ML2021★ 1 cited

Convex regularization in statistical inverse learning problems

Tatiana A. Bubba, Martin Burger, Tapio Helin +1

We consider a statistical inverse learning problem, where the task is to estimate a function $f$ based on noisy point evaluations of $A f$ , where $A$ is a linear operator. The funct…