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math.OC2023★ 1 cited
Grid is Good: Adaptive Refinement Algorithms for Off-the-Grid Total Variation Minimization
Axel Flinth, Frédéric de Gournay, Pierre Weiss
We propose an adaptive refinement algorithm to solve total variation regularized measure optimization problems. The method iteratively constructs dyadic partitions of the unit cube…
math.OC2022
Spurious minimizers in non uniform Fourier sampling optimization
Frédéric de Gournay, Alban Gossard, Pierre Weiss
A recent trend in the signal/image processing literature is the optimization of Fourier sampling schemes for specific datasets of signals. In this paper, we explain why choosing op…