Alexander Katsevich

works on

bayesian inverse problems 1 discrete-to-continuum limits 1 gaussian fluctuations 1 map estimation 1 posterior convergence 1

From the 1 of 4 linked papers with an AI index.

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math.NA2025

Local Characterization of Noise in Iterative Reconstruction of the Generalized Radon Transform

Alexander Katsevich

We study noise in iterative reconstruction from discrete noisy data of a generalized Radon transform in the plane. Our approach builds on Local Reconstruction Analysis (LRA), a fra…

math.NA2025

Local analysis of iterative reconstruction from discrete generalized Radon transform data in the plane

Alexander Katsevich

Local reconstruction analysis (LRA) is a powerful and flexible technique to study images reconstructed from discrete generalized Radon transform (GRT) data, $g = R f$ . The m…

math.NA2024

Analysis of reconstruction from noisy discrete generalized Radon data

Alexander Katsevich

We consider a wide class of generalized Radon transforms $R$ , which act in $R^{n}$ for any $n \geq 2$ and integrate over submanifolds of any codimension $N$ , $1\le N\…