Appropriate reduction of the posterior distribution in fully Bayesian inversions

@article{Sato2022AppropriateRO,
  title={Appropriate reduction of the posterior distribution in fully Bayesian inversions},
  author={Dye S K Sato and Yukitoshi Fukahata and Yohei Nozue},
  journal={Geophysical Journal International},
  year={2022}
}
Bayesian inversion generates a posterior distribution of model parameters from an observation equation and prior information both weighted by hyperparameters. The prior is also introduced for the hyperparameters in fully Bayesian inversions and enables us to evaluate both the model parameters and hyperparameters probabilistically by the joint posterior. However, even in a linear inverse problem, it is unsolved how we should extract useful information on the model parameters from the joint… 
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