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A note on simulation methods for the Dirichlet-Laplace prior

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  • Luis Gruber
  • Gregor Kastner
  • Anirban Bhattacharya
  • Debdeep Pati
  • Natesh Pillai
  • David Dunson

Abstract

Bhattacharya et al. (2015, Journal of the American Statistical Association 110(512): 1479-1490) introduce a novel prior, the Dirichlet-Laplace (DL) prior, and propose a Markov chain Monte Carlo (MCMC) method to simulate posterior draws under this prior in a conditionally Gaussian setting. The original algorithm samples from conditional distributions in the wrong order, i.e., it does not correctly sample from the joint posterior distribution of all latent variables. This note details the issue and provides two simple solutions: A correction to the original algorithm and a new algorithm based on an alternative, yet equivalent, formulation of the prior. This corrigendum does not affect the theoretical results in Bhattacharya et al. (2015).

Suggested Citation

  • Luis Gruber & Gregor Kastner & Anirban Bhattacharya & Debdeep Pati & Natesh Pillai & David Dunson, 2025. "A note on simulation methods for the Dirichlet-Laplace prior," Papers 2508.11982, arXiv.org.
    • Handle: RePEc:arx:papers:2508.11982
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