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math.OC2025
Average Kernel Sizes -- Computable Sharp Accuracy Bounds for Inverse Problems
Nina M. Gottschling, David Iagaru, Jakob Gawlikowski +1
The reconstruction of an unknown quantity from noisy measurements is a mathematical problem relevant in most applied sciences, for example, in medical imaging, radar inverse scatte…
math.OC2023
On the existence of optimal multi-valued decoders and their accuracy bounds for ill-posed inverse problems
Nina Maria Gottschling, Paolo Campodonico, Vegard Antun +1
Ill-posed inverse problems occur everywhere in the sciences including medical imaging, radar, astronomy etc., yielding underdetermined or ill-posed linear (non-linear) reconstructi…