Explorerโ€บBiomedical Engineeringโ€บEngineering
Research PaperResearchia:202610.16037

Data-driven Smooth-to-hard Spectral Regularization for General Linear Inverse Problems

Guanzhong Yang

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/...

Submitted: October 16, 2026Subjects: Engineering; Biomedical Engineering

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

Please sign in to join the discussion.

No comments yet. Be the first to share your thoughts!

Access Paper
View Source PDF
Submission Info
Date:
Oct 16, 2026
Topic:
Biomedical Engineering
Area:
Engineering
Comments:
0
Bookmark
Data-driven Smooth-to-hard Spectral Regularization for General Linear Inverse Problems | Researchia