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math.OC2026
Initial condition recovery in nonlinear damped viscous photoacoustic tomography using a convolutional neural network-guided gradient-free optimization framework
Madhu Gupta, Anwesa Dey, Prapti Tala +1
Photoacoustic tomography (PAT) is a hybrid imaging modality that combines high optical contrast with high ultrasonic resolution for biomedical imaging applications. In this work, w…
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.NA2026
V-Line Tensor Tomography in a Disk: Theoretical and Numerical Reconstruction
Rahul Bhardwaj, Madhu Gupta
In this article, we investigate V-line transforms for symmetric -tensor fields whose support lies inside a disk of radius and centered at the origin. We provide an explicit…