51 citations · 416 across the 43 of their papers we have counts for
47 papers
Manifold Learning by Mixture Models of VAEs for Inverse Problems
Giovanni S. Alberti, Johannes Hertrich, Matteo Santacesaria +1
Representing a manifold of very high-dimensional data with generative models has been shown to be computationally efficient in practice. However, this requires that the data manifo…
Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform
Giovanni S. Alberti, Alessandro Felisi, Matteo Santacesaria +1
Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. T…
Localized adversarial artifacts for compressed sensing MRI
Rima Alaifari, Giovanni S. Alberti, Tandri Gauksson
As interest in deep neural networks (DNNs) for image reconstruction tasks grows, their reliability has been called into question (Antun et al., 2020; Gottschling et al., 2020). How…
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces
Giovanni S. Alberti, Matteo Santacesaria, Silvia Sciutto
In this work, we present and study Continuous Generative Neural Networks (CGNNs), namely, generative models in the continuous setting: the output of a CGNN belongs to an infinite-d…
Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems
Giovanni S. Alberti
Hybrid inverse problems are based on the interplay of two types of waves, in order to allow for imaging with both high resolution and high contrast. The inversion procedure often c…
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 , where is a known linear operator between the separable Hilbert spaces and , is a random v…