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Predictive performance of power posteriors

Statistics Theory 2025-05-14 v2 Statistics Theory

Abstract

We analyse the impact of using tempered likelihoods in the production of posterior predictions. While the choice of temperature has an impact on predictive performance in small samples, we formally show that in moderate-to-large samples, tempering does not impact posterior predictions.

Cite

@article{arxiv.2408.08806,
  title  = {Predictive performance of power posteriors},
  author = {Yann McLatchie and Edwin Fong and David T. Frazier and Jeremias Knoblauch},
  journal= {arXiv preprint arXiv:2408.08806},
  year   = {2025}
}

Comments

7 (+17 supplementary) pages (excluding references); 3 (+7 supplementary) figures

R2 v1 2026-06-28T18:14:50.511Z