The Bayesian Group-Lasso for Analyzing Contingency Tables

Abstract

Group-Lasso estimators, useful in many applications, suffer from lack of meaningful variance estimates for regression coefficients. To overcome such problems, we propose a full Bayesian treatment of the Group-Lasso, extending the standard Bayesian Lasso, using hierarchical expansion. The method is then applied to Poisson models for contingency tables using a highly efficient MCMC algorithm. The simulated experiments validate the performance of this method on artificial datasets with known ground-truth. When applied to a breast cancer dataset, the method demonstrates the capability of identifying the differences in interactions patterns of marker proteins between different patient groups.

Cite

Text

Raman et al. "The Bayesian Group-Lasso for Analyzing Contingency Tables." International Conference on Machine Learning, 2009. doi:10.1145/1553374.1553487

Markdown

[Raman et al. "The Bayesian Group-Lasso for Analyzing Contingency Tables." International Conference on Machine Learning, 2009.](https://mlanthology.org/icml/2009/raman2009icml-bayesian/) doi:10.1145/1553374.1553487

BibTeX

@inproceedings{raman2009icml-bayesian,
  title     = {{The Bayesian Group-Lasso for Analyzing Contingency Tables}},
  author    = {Raman, Sudhir and Fuchs, Thomas J. and Wild, Peter J. and Dahl, Edgar and Roth, Volker},
  booktitle = {International Conference on Machine Learning},
  year      = {2009},
  pages     = {881-888},
  doi       = {10.1145/1553374.1553487},
  url       = {https://mlanthology.org/icml/2009/raman2009icml-bayesian/}
}