Handbook of Bayesian Variable Selection

1. Discrete Spike-and-Slab Priors: Models and Computational Aspects
Marina Vannucci

2. Recent Theoretical Advances with the Discrete Spike-and-Slab Priors
Shuang Zhou and Debdeep Pati

3. Theoretical and Computational Aspects of Continuous Spike-and-Slab Priors
Naveen N. Narisetty

4. Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO
Ray Bai, Veronika Ro˘cková, and Edward I. George

5. Adaptive Computational Methods for Bayesian Variable Selection
Jim E. Gri□n, Krys G. Latuszynski, and Mark F. J. Steel

6. Theoretical guarantees for the horseshoe and other global-local shrinkage priors
Stéphanie van der Pas

7. MCMC for Global-Local Shrinkage Priors in High-Dimensional Settings
Anirban Bhattacharya and James Johndrow

8. Variable Selection with Shrinkage Priors via Sparse Posterior Summaries
Yan Dora Zhang, Weichang Yu, and Howard D. Bondell

9. Bayesian Model Averaging in Causal Inference
Joseph Antonelli and Francesca Dominici

10. Variable Selection for Hierarchically-Related Outcomes: Models and Algorithms
H□el□ene Ru□eux, Leonardo Bottolo, and Sylvia Richardson

11. Bayesian variable selection in spatial regression models
Brian J. Reich and Ana-Maria Staicu

12. Effect Selection and Regularization in Structured Additive Distributional Regression
Paul Wiemann, Thomas Kneib, and Helga Wagner

13. Sparse Bayesian State-Space and Time-Varying Parameter Models
Sylvia Fruhwirth-Schnatter and Peter Knaus

14. Bayesian estimation of single and multiple graphs
Christine B. Peterson and Francesco C. Stingo

15. Bayes Factors Based on g-Priors for Variable Selection
Gonzalo García-Donato and Mark F. J. Steel

16. Balancing Sparsity and Power: Likelihoods, Priors, and Misspecification
David Rossell and Francisco Javier Rubio

17. Variable Selection and Interaction Detection with Bayesian Additive Regression Trees
Carlos M. Carvalho, Edward I. George, P. Richard Hahn, and Robert E. McCulloch

18. Variable Selection for Bayesian Decision Tree Ensembles
Antonio R. Linero and Junliang Du

19. Stochastic Partitioning for Variable Selection in Multivariate Mixture of Regression Models
Stefano Monni and Mahlet G. Tadesse

Biography

Mahlet Tadesse is Professor and Chair in the Department of Mathematics and Statistics at Georgetown University, USA. Her research over the past two decades has focused on Bayesian modeling for high-dimensional data with an emphasis on variable selection methods and mixture models. She also works on various interdisciplinary projects in genomics and public health. She is a recipient of the Myrto Lefkopoulou Distinguished Lectureship award, an elected member of the International Statistical Institute and an elected fellow of the American Statistical Association.

Marina Vannucci is Noah Harding Professor of Statistics at Rice University, USA. Her research over the past 25 years has focused on the development of methodologies for Bayesian variable selection in linear settings, mixture models and graphical models, and on related computational algorithms. She also has a solid history of scientific collaborations and is particularly interested in applications of Bayesian inference to genomics and neuroscience. She has received an NSF CAREER award and the Mitchell prize by ISBA for her research, and the Zellner Medal by ISBA for exceptional service over an extended period of time with long-lasting impact. She is an elected Member of ISI and RSS and an elected fellow of ASA, IMS, AAAS and ISBA.

"This book provides a comprehensive review of Bayesian variable selection methods written by various distinguished experts and covers recent theoretical, methodological, and computational advancements in the field. In my opinion, it is an excellent reference book for researchers at all levels."
~Yang Ni, Texas A&M University