Data-driven Smooth-to-hard Spectral Regularization for General Linear Inverse Problems
Abstract
The logistic smooth-to-hard shrinker is the proximal map of an explicit saturating spectral penalty for general linear inverse problems. Its exact weak convexity yields a unique scaled update and proximal-gradient stationarity guarantees, while independent validation provides finite-grid parameter-selection control. We use MRI as an illustrative example. --- Source: arXiv:2610.21664v1 - http://arxiv.org/abs/2610.21664v1 PDF: https://arxiv.org/pdf/2610.21664v1 Original Link: http://arxiv.org/abs/...
Description / Details
The logistic smooth-to-hard shrinker is the proximal map of an explicit saturating spectral penalty for general linear inverse problems. Its exact weak convexity yields a unique scaled update and proximal-gradient stationarity guarantees, while independent validation provides finite-grid parameter-selection control. We use MRI as an illustrative example.
Source: arXiv:2610.21664v1 - http://arxiv.org/abs/2610.21664v1 PDF: https://arxiv.org/pdf/2610.21664v1 Original Link: http://arxiv.org/abs/2610.21664v1
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Oct 16, 2026
Biomedical Engineering
Engineering
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