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#1 DEALing with Image Reconstruction: Deep Attentive Least Squares [PDF1] [Copy] [Kimi] [REL]

Authors: Mehrsa Pourya, Erich Kobler, Michael Unser, Sebastian Neumayer

State-of-the-art image reconstruction often relies on complex, abundantly parameterized deep architectures. We propose an alternative: a data-driven reconstruction method inspired by the classic Tikhonov regularization. Our approach iteratively refines intermediate reconstructions by solving a sequence of quadratic problems. These updates have two key components: (i) learned filters to extract salient image features; and (ii) an attention mechanism that locally adjusts the penalty of the filter responses. Our method matches leading plug-and-play and learned regularizer approaches in performance while offering interpretability, robustness, and convergent behavior. In effect, we bridge traditional regularization and deep learning with a principled reconstruction approach.

Subject: ICML.2025 - Poster