Inverse Problems

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27.12.2023

Adaptive minimax optimality in statistical inverse problems via SOLIT — Sharp Optimal Lepskii-Inspired Tuning

Authors Li H, Werner F   Journal Inverse Problems   Citation Inverse Problems 40 (2024) 025005 (29pp).   Abstract We consider statistical linear inverse problems in separable Hilbert spaces and filter-based reconstruction methods of the form̂ fα = qα (T ∗T) T ∗Y, where Y is the available data, T
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28.05.2020

NETT: solving inverse problems with deep neuralnetworks

Authors Li H, Schwab J, Antholzer S, Haltmeier M Journal Inverse Problems Citation Inverse Problems 36(2020) 065005 (23pp). Abstract Recovering a function or high-dimensional parameter vector from indirect measurements is a central task in various scientific areas. Several methods for solving such inverse problems are well developed and well understood.
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