3 problems

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Data-independent-prior extension conjecture for Laplace approximation and model selection consistency
Data-independent-prior extension conjecture. With additional effort, the Laplace approximation and the model-selection consistency results for excluding supersets and avoiding fals…
Conjectureopenbayesian-model-selection generalized-linear-models high-dimensional-statisticsarXiv posted 2 days ago
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Conjecture on posterior underestimation for piecewise constant functions
Let $n$ be the sample size, and consider piecewise constant functions whose true number of jumps is at least $\sqrt n$ . The posterior model dimension is the number of jumps in the…
Conjectureopenbayesian-model-selection nonparametric-statistics support-boundary-recoveryarXiv posted 2 days ago
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Extension of g-prior model-selection results to more general priors
The paper considers a Bayesian variable-selection model with a $g$ -prior, where $g$ is a probability density on $(0,\infty)$ and the established results assume that its support is…
Conjectureopenbayesian-model-selection g-priors high-dimensional-statisticsarXiv posted 2 days ago

Data-independent-prior extension conjecture for Laplace approximation and model selection consistency