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22 September 1998 Prior modeling and posterior sampling in impedance imaging
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We examine sample based Bayesian inference from impedance imaging data. We report experiments employing low level pixel based priors with mixed discrete and continuous conductivities. Sampling is carried out using Metropolis- Hasting Markov chain Monte Carlo, employing both large scale, Langevin updates, and state-adaptive local updates. Computing likelihood ratios of conductivity distributions involves solving a second order linear partial differential equation. However our simulation is rendered computationally tractable by an update procedure which employs a linearization of the forward map and thereby avoids solving the PDE for those updates which are rejected.
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Geoff K. Nicholls and Colin Fox "Prior modeling and posterior sampling in impedance imaging", Proc. SPIE 3459, Bayesian Inference for Inverse Problems, (22 September 1998);

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