Learning Regularization Functionals for Inverse Problems: A Comparative Study

Fuente: arXiv
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Autori principali: Hertrich, Johannes, Wong, Hok Shing, Denker, Alexander, Ducotterd, Stanislas, Fang, Zhenghan, Haltmeier, Markus, Kereta, Željko, Kobler, Erich, Leong, Oscar, Salehi, Mohammad Sadegh, Schönlieb, Carola-Bibiane, Schwab, Johannes, Shumaylov, Zakhar, Sulam, Jeremias, Wache, German Shâma, Zach, Martin, Zhang, Yasi, Ehrhardt, Matthias J., Neumayer, Sebastian
Natura: Preprint
Pubblicazione: 2025
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_version_ 1866909991314653184
author Hertrich, Johannes
Wong, Hok Shing
Denker, Alexander
Ducotterd, Stanislas
Fang, Zhenghan
Haltmeier, Markus
Kereta, Željko
Kobler, Erich
Leong, Oscar
Salehi, Mohammad Sadegh
Schönlieb, Carola-Bibiane
Schwab, Johannes
Shumaylov, Zakhar
Sulam, Jeremias
Wache, German Shâma
Zach, Martin
Zhang, Yasi
Ehrhardt, Matthias J.
Neumayer, Sebastian
author_facet Hertrich, Johannes
Wong, Hok Shing
Denker, Alexander
Ducotterd, Stanislas
Fang, Zhenghan
Haltmeier, Markus
Kereta, Željko
Kobler, Erich
Leong, Oscar
Salehi, Mohammad Sadegh
Schönlieb, Carola-Bibiane
Schwab, Johannes
Shumaylov, Zakhar
Sulam, Jeremias
Wache, German Shâma
Zach, Martin
Zhang, Yasi
Ehrhardt, Matthias J.
Neumayer, Sebastian
contents In recent years, a variety of learned regularization frameworks for solving inverse problems in imaging have emerged. These offer flexible modeling together with mathematical insights. The proposed methods differ in their architectural design and training strategies, making direct comparison challenging due to non-modular implementations. We address this gap by collecting and unifying the available code into a common framework. This unified view allows us to systematically compare the approaches and highlight their strengths and limitations, providing valuable insights into their future potential. We also provide concise descriptions of each method, complemented by practical guidelines.
format Preprint
id arxiv_https___arxiv_org_abs_2510_01755
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning Regularization Functionals for Inverse Problems: A Comparative Study
Hertrich, Johannes
Wong, Hok Shing
Denker, Alexander
Ducotterd, Stanislas
Fang, Zhenghan
Haltmeier, Markus
Kereta, Željko
Kobler, Erich
Leong, Oscar
Salehi, Mohammad Sadegh
Schönlieb, Carola-Bibiane
Schwab, Johannes
Shumaylov, Zakhar
Sulam, Jeremias
Wache, German Shâma
Zach, Martin
Zhang, Yasi
Ehrhardt, Matthias J.
Neumayer, Sebastian
Machine Learning
Numerical Analysis
Optimization and Control
In recent years, a variety of learned regularization frameworks for solving inverse problems in imaging have emerged. These offer flexible modeling together with mathematical insights. The proposed methods differ in their architectural design and training strategies, making direct comparison challenging due to non-modular implementations. We address this gap by collecting and unifying the available code into a common framework. This unified view allows us to systematically compare the approaches and highlight their strengths and limitations, providing valuable insights into their future potential. We also provide concise descriptions of each method, complemented by practical guidelines.
title Learning Regularization Functionals for Inverse Problems: A Comparative Study
topic Machine Learning
Numerical Analysis
Optimization and Control
url https://arxiv.org/abs/2510.01755