39 citations · 215 across the 17 of their papers we have counts for
4 papers · 1 filter
Uncovering the limits of uniqueness in sampled Gabor phase retrieval: A dense set of counterexamples in
Rima Alaifari, Francesca Bartolucci, Matthias Wellershoff
Sampled Gabor phase retrieval - the problem of recovering a square-integrable signal from the magnitude of its Gabor transform sampled on a lattice - is a fundamental problem in si…
Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning
Francesca Bartolucci, Emmanuel de Bézenac, Bogdan Raonić +3
Recently, operator learning, or learning mappings between infinite-dimensional function spaces, has garnered significant attention, notably in relation to learning partial differen…
Unique wavelet sign retrieval from samples without bandlimiting
Rima Alaifari, Francesca Bartolucci, Matthias Wellershoff
We study the problem of recovering a signal from magnitudes of its wavelet frame coefficients when the analyzing wavelet is real-valued. We show that every real-valued signal can b…
Convolutional Neural Operators for robust and accurate learning of PDEs
Bogdan Raonić, Roberto Molinaro, Tim De Ryck +5
Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function space -- have been large…