Bayesian Joint Spike-and-Slab Graphical Lasso
@inproceedings{Li2019BayesianJS, title={Bayesian Joint Spike-and-Slab Graphical Lasso}, author={Z. Li and T. McCormick and S. Clark}, booktitle={ICML}, year={2019} }
In this article, we propose a new class of priors for Bayesian inference with multiple Gaussian graphical models. We introduce fully Bayesian treatments of two popular procedures, the group graphical lasso and the fused graphical lasso, and extend them to a continuous spike-and-slab framework to allow self-adaptive shrinkage and model selection simultaneously. We develop an EM algorithm that performs fast and dynamic explorations of posterior modes. Our approach selects sparse models… CONTINUE READING
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References
SHOWING 1-10 OF 38 REFERENCES
Simultaneous Variable and Covariance Selection With the Multivariate Spike-and-Slab LASSO
- Mathematics
- 2017
- 25
- PDF
Computational Aspects Related to Inference in Gaussian Graphical Models With the G-Wishart Prior
- Mathematics
- 2011
- 76
- PDF
Bayesian Regularization for Graphical Models With Unequal Shrinkage
- Computer Science, Mathematics
- ArXiv
- 2018
- 19
- PDF
An Expectation Conditional Maximization Approach for Gaussian Graphical Models
- Mathematics, Medicine
- Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America
- 2019
- 14
- PDF
Bayesian Structure Learning in Sparse Gaussian Graphical Models
- Computer Science, Mathematics
- 2012
- 104
- PDF
Bayesian Inference of Multiple Gaussian Graphical Models
- Computer Science, Medicine
- Journal of the American Statistical Association
- 2015
- 106
- PDF
The joint graphical lasso for inverse covariance estimation across multiple classes.
- Computer Science, Mathematics
- Journal of the Royal Statistical Society. Series B, Statistical methodology
- 2014
- 537
- PDF