Total Variation (TV
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Generalized TV--$\ell_p$ Structured Priors for Bayesian $T_1$ Mapping
arXiv:2606.05381v1 Announce Type: new Abstract: We propose an extended family of structured spatial priors that incorporates the total variation (TV) function with $\ell_p$ norms. The prior is proven to be proper and incorporated into a Bayesian regression framework to enable uncertainty quantification in $T_1$ mapping, with posterior inference performed using the No-U-Turn Sampler (NUTS). This TV--$\ell_p$ construction is proven to constitute a well-defined family of prior distributions,...
On the Robustness of Langevin Dynamics to Score Function Error
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