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20102026
most citedInfinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE

51 citations · 388 across the 44 of their papers we have counts for

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6 papers · 1 filter

math.NA2026

Infinite dimensional generative sensing

Paolo Angella, Vito Paolo Pastore, Matteo Santacesaria

Deep generative models have become a standard for modeling priors for inverse problems, going beyond classical sparsity-based methods. However, existing theoretical guarantees are…

math.NA2025

Deep Unfolding Network for Nonlinear Multi-Frequency Electrical Impedance Tomography

Giovanni S. Alberti, Damiana Lazzaro, Serena Morigi +2

Multi-frequency Electrical Impedance Tomography (mfEIT) represents a promising biomedical imaging modality that enables the estimation of tissue conductivities across a range of fr…

math.NA2024★ 1 cited

Localization of point scatterers via sparse optimization on measures

Giovanni S. Alberti, Romain Petit, Matteo Santacesaria

We consider the inverse scattering problem for time-harmonic acoustic waves in a medium with pointwise inhomogeneities. In the Foldy-Lax model, the estimation of the scatterers' lo…

math.NA2020★ 18 cited

Neural networks for classification of strokes in electrical impedance tomography on a 3D head model

Valentina Candiani, Matteo Santacesaria

We consider the problem of the detection of brain hemorrhages from three dimensional (3D) electrical impedance tomography (EIT) measurements. This is a condition requiring urgent t…

math.NA2016★ 12 cited

Direct inversion from partial-boundary data in electrical impedance tomography

Andreas Hauptmann, Matteo Santacesaria, Samuli Siltanen

In Electrical Impedance Tomography (EIT) one wants to image the conductivity distribution of a body from current and voltage measurements carried out on its boundary. In this paper…

math.NA2013★ 7 cited

Positive-energy D-bar method for acoustic tomography: a computational study

Maarten de Hoop, Matti Lassas, Matteo Santacesaria +2

A new computational method for reconstructing a potential from the Dirichlet-to-Neumann map at positive energy is developed. The method is based on D-bar techniques and it works in…