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math.ST2026
An Efficient Bayesian Framework for Uncertainty Quantification in Nonlinear Imaging Inverse Problems
Anuj Abhishek, Sakshi Arya, Madhu Gupta
Bayesian methods provide a natural framework for estimating a parameter in non-linear inverse problems and quantifying uncertainty in the estimation. However, when the forward mode…
math.ST2025
Statistical microlocal analysis in two-dimensional X-ray CT
Anuj Abhishek, Alexander Katsevich, James W. Webber
In many imaging applications it is important to assess how well the edges of the original object, , are resolved in an image, , reconstructed from the measured dat…