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Solving inverse problems using data-driven models

delete2019-06-14
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OA
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S
Simon Arridge *
P
Peter Maaß
O
Ozan Öktem
C
Carola‐Bibiane Schönlieb
DOI:10.1017/S0962492919000059delete
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Abstract

Abstract

En 中文
Recent research in inverse problems seeks to develop a mathematically coherent foundation for combining data-driven models, and in particular those based on deep learning, with domain-specific knowledge contained in physical-analytical models. The focus is on solving ill-posed inverse problems that are at the core of many challenging applications in the natural sciences, medicine and life sciences, as well as in engineering and industrial applications. This survey paper aims to give an account of some of the main contributions in data-driven inverse problems.
Keywords:
LOW-DOSE CT
CONVOLUTIONAL NEURAL-NETWORKS
ILL-POSED PROBLEMS
GENERATIVE ADVERSARIAL NETWORK
POSTERIOR CONTRACTION RATES
IMAGE-RESTORATION
CONVERGENCE-RATES
SIGNAL RECOVERY
REGULARIZATION METHODS
TIKHONOV REGULARIZATION
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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Acta Numerica cover
Acta Numerica
IF:
11.3
Papers:
89
Citations:
3.4K

Organization

U
University College London
Scholars:
7.9W
Papers: 6.2W
Citations: 15.7W
R
Royal Institute of Technology
Scholars:
1.8W
Papers: 1.8W
Citations: 25
U
university of london
Scholars:
21.5W
Papers: 19.7W
Citations: 305
U
University of Bremen
Scholars:
8.1K
Papers: 7.2K
Citations: 1.1W
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