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Paper · arXiv

Untrained CNN and coefficient-space regularization for joint reconstruction in photoacoustic tomography

The joint reconstruction of the initial pressure and spatially varying sound speed in photoacoustic tomography from boundary measurements is considered. A regularized data-driven framework is proposed in which the unknown fields are represented in finite-dimensional wavelet spaces and fixed nonlinear features generated by an untrained convolutional neural network (CNN) are used to reconstruct the initial-pressure coefficients through Tikhonov-regularized least squares. A learned coefficient-space prior is subsequently used to infer the squared sound-speed coefficients. Numerical experiments demonstrate accurate reconstruction on held-out data and strong generalization to previously unseen...

AuthorsAlfio Bozi, Anwesa Dey, Souvik Roy
Primary categorycs.LG
Published16 October 2026
Last updated at source16 October 2026
cs.LGmath.OC
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