Maximum-a-posteriori estimation with unknown regularisation parameters

  title={Maximum-a-posteriori estimation with unknown regularisation parameters},
  author={Marcelo Pereyra and Josx00E9 M. Bioucas-Dias and M{\'a}rio A. T. Figueiredo},
  journal={2015 23rd European Signal Processing Conference (EUSIPCO)},
This paper presents two hierarchical Bayesian methods for performing maximum-a-posteriori inference when the value of the regularisation parameter is unknown. The methods are useful for models with homogenous regularisers (i.e., prior sufficient statistics), including all norms, composite norms and compositions of norms with linear operators. A key contribution of this paper is to show that for these models the normalisation factor of the prior has a closed-form analytic expression. This then… CONTINUE READING
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