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Robustness and Exploration of Variational and Machine Learning Approaches to Inverse Problems: An Overview

arXiv 2402.12072 ↗First posted 19 Feb 2024eess.IV cs.CV cs.LGcited by 1

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Abstract (arXiv)

This paper provides an overview of current approaches for solving inverse problems in imaging using variational methods and machine learning. A special focus lies on point estimators and their robustness against adversarial perturbations. In this context results of numerical experiments for a one-dimensional toy problem are provided, showing the robustness of different approaches and empirically verifying theoretical guarantees. Another focus of this review is the exploration of the subspace of data-consistent solutions through explicit guidance to satisfy specific semantic or textural properties.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 147 of its 205 references that are in the map. First posted on arXiv 19 Feb 2024.

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147 of 205 references.

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