MCMC convergence diagnosis using geometry of Bayesian LASSO
Statistics Theory
2015-12-07 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 l1 and l2 norms and present three regimes. We derive the concentration of Bayesian LASSO, and present MCMC convergence diagnosis.
Cite
@article{arxiv.1512.01366,
title = {MCMC convergence diagnosis using geometry of Bayesian LASSO},
author = {Azzouz Dermoune and Daoud Ounaissi and Nadji Rahmania},
journal= {arXiv preprint arXiv:1512.01366},
year = {2015}
}