The evidence trick approximates the likelihood score in diffusion inverse problems for exponential family observations by integrating the likelihood against a conjugate variational posterior, enabling Poisson and Binomial posterior sampling with image priors.
P., Murray, I., and MacKay, D
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Diffusion Models for Inverse Problems in the Exponential Family
The evidence trick approximates the likelihood score in diffusion inverse problems for exponential family observations by integrating the likelihood against a conjugate variational posterior, enabling Poisson and Binomial posterior sampling with image priors.