A Restoration Network as an Implicit Prior

Part of International Conference on Representation Learning 2024 (ICLR 2024) Conference

Bibtex Paper Supplementary

Authors

Yuyang Hu, Mauricio Delbracio, Peyman Milanfar, Ulugbek Kamilov

Abstract

Image denoisers have been shown to be powerful priors for solving inverse problems in imaging. In this work, we introduce a generalization of these methods that allows any image restoration network to be used as an implicit prior. The proposed method uses priors specified by deep neural networks pre-trained as general restoration operators. The method provides a principled approach for adapting state-of-the-art restoration models for other inverse problems. Our theoretical result analyzes its convergence to a stationary point of a global functional associated with the restoration operator. Numerical results show that the method using a super-resolution prior achieves state-of-the-art performance both quantitatively and qualitatively. Overall, this work offers a step forward for solving inverse problems by enabling the use of powerful pre-trained restoration models as priors.