Interpretable model learning in variational imaging: a bilevel optimization approach

• Published in: IMA journal of applied mathematics Vol. 89; no. 1; pp. 85 - 122
• Main Authors: De los Reyes, Juan Carlos, Villacís, David
• Format: Journal Article
• Language: English
• Published: Oxford University Press 21.06.2024
• Subjects: 49K99; 68U10; 68T99; 65K10; 90C33

In this paper, we investigate the use of bilevel optimization for model learning in variational imaging problems. Bilevel learning is an alternative approach to deep learning methods, which leads to fully interpretable models. However, it requires a detailed analytical insight into the underlying ma...