• Corpus ID: 235254507

Inversion of Integral Models: a Neural Network Approach

@inproceedings{Chouzenoux2021InversionOI,
  title={Inversion of Integral Models: a Neural Network Approach},
  author={{\'E}milie Chouzenoux and Cecile Della Valle and Jean-Christophe Pesquet},
  year={2021}
}
We introduce a neural network architecture to solve inverse problems linked to a onedimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function which consists of the sum of a data-fidelity function and a Tikhonov-type regularization function. The robustness of this inversion method with respect to a perturbation of the input is theoretically analyzed. Ensuring robustness is consistent with inverse… 

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