Sparse Graphical Modeling for High Dimensional Data: A Paradigm of Conditional Independence Tests

ISBN-13: 9780367183738 / Angielski

Indianapoli Corporate Center Bochao (Eli Lilly and Company

Opis

This book provides a general framework for learning sparse graphical models with conditional independence tests. It includes complete treatments for Gaussian, Poisson, multinomial, and mixed data; unified treatments for covariate adjustments, data integration, and network comparison; unified treatments for missing data and heterogeneous data; efficient methods for joint estimation of multiple graphical models; effective methods of high-dimensional variable selection; and effective methods of high-dimensional inference. The methods possess an embarrassingly parallel structure in performing conditional independence tests, and the computation can be significantly accelerated by running in parallel on a multi-core computer or a parallel architecture. This book is intended to serve researchers and scientists interested in high-dimensional statistics, and graduate students in broad data science disciplines.

Key Features:

• A general framework for learning sparse graphical models with conditional independence tests
• Complete treatments for different types of data, Gaussian, Poisson, multinomial, and mixed data
• Unified treatments for data integration, network comparison, and covariate adjustment
• Unified treatments for missing data and heterogeneous data
• Efficient methods for joint estimation of multiple graphical models
• Effective methods of high-dimensional variable selection
• Effective methods of high-dimensional inference

Spis treści

1. Introduction to Sparse Graphical Models  2. Gaussian Graphical Models  3. Gaussian Graphical Modeling with Missing Data  4. Gaussian Graphical Modeling for Heterogeneous Data  5. Poisson Graphical Models  6. Mixed Graphical Models  7. Joint Estimation of Multiple Graphical Models  8. Nonlinear and Non-Gaussian Graphical Models  9. High-Dimensional Inference with the Aid of Sparse Graphical Modeling  10. Appendix