Equivariant neural networks for inverse problems

DOI10.1088/1361-6420/ac104fOpenAlexW3174251322WikidataQ112305393 ScholiaQ112305393MaRDI QIDQ5006365

Brynjulf Owren, Christian Etmann, Ferdia Sherry, Carola-Bibiane Schönlieb, Elena Celledoni, Matthias J. Ehrhardt

Publication date: 13 August 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11504

zbMATH Keywords

neural networksimage reconstructionequivariancevariational regularisation

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Miscellaneous topics in calculus of variations and optimal control (49Nxx) Numerical analysis in abstract spaces (65Jxx)

Related Items (2)

Regularization theory of the analytic deep prior approach ⋮ Learning Hamiltonians of constrained mechanical systems

Uses Software

• scikit-image
• ASTRA
• PyTorch
• ImageNet
• Adam
• AlexNet
• GPT-3
• DeepAdverserialRegulariser

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space
• Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
• Solving ill-posed inverse problems using iterative deep neural networks
• Deep Convolutional Neural Network for Inverse Problems in Imaging
• Convergence rates of convex variational regularization
• Discrete Inverse Problems
• On the Mathematical Properties of the Structural Similarity Index
• Proximité et dualité dans un espace hilbertien
• Total Generalized Variation

This page was built for publication: Equivariant neural networks for inverse problems