Boosting Weakly Convex Ridge Regularizers with Spatial Adaptivity
S. Neumayer, M. Pourya, A. Goujon, M. Unser
Proceedings of the Fourth Workshop on Deep Learning and Inverse Problems (NeurIPS'23), New Orleans LA, USA, December 16, 2023.
We propose to enhance 1-weakly convex ridge regularizers for image reconstruction by incorporating spatial adaptivity. To this end, we resort to a neural network that generates a weighting mask from an initial reconstruction, which is obtained with the baseline regularizer. Empirically, the learned mask can capture long-range dependencies and leads to a smaller penalization of inherent image structures. Our experiments show that spatial adaptivity improves the performance of image denoising and MRI reconstruction.
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