Deep learning for inverse problems with unknown operator

Publication date: 13 March 2023

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02744

zbMATH Keywords

inverse problems nonparametric statistics convolutional neural networks deep learning unknown operator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Artificial neural networks and deep learning (68T07) Numerical solution to inverse problems in abstract spaces (65J22)

Uses Software

U-Net

Cites Work

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Optimal Approximation with Sparsely Connected Deep Neural Networks
Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems
Solving inverse problems using data-driven models
Adaptive estimation for inverse problems with noisy operators
Approximation by superpositions of a sigmoidal function

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