English

Bayesian Lasso : Concentration and MCMC Diagnosis

Statistics Theory 2018-02-26 v1 Statistics Theory

Abstract

Using posterior distribution of Bayesian LASSO we construct a semi-norm on the parameter space. We show that the partition function depends on the ratio of the l 1 and l 2 norms and present three regimes. We derive the con- centration of Bayesian LASSO, and present MCMC convergence diagnosis. Keywords: LASSO, Bayes, MCMC, log-concave, geometry, incomplete Gamma function

Keywords

Cite

@article{arxiv.1802.08572,
  title  = {Bayesian Lasso : Concentration and MCMC Diagnosis},
  author = {Daoud Ounaissi and Nadji Rahmania},
  journal= {arXiv preprint arXiv:1802.08572},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1512.01366

R2 v1 2026-06-23T00:31:30.903Z