Graphical Modeling of Substitutions and Flexible Bills-of-Materials

2009 ◽  
pp. 81-109
Author(s):  
J. Christian Lang
Keyword(s):  
Graphical Modeling

scholarly journals Integrating additional knowledge into the estimation of graphical models

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yunqi Bu ◽  
Johannes Lederer
Keyword(s):  
Graphical Models ◽  
Tuning Parameter ◽  
Functional Magnetic Resonance ◽  
Resonance Imaging ◽  
Graphical Modeling ◽  
Standard Methods ◽  
Neighborhood Selection ◽  
Selection For ◽  
The Brain

Abstract Graphical models such as brain connectomes derived from functional magnetic resonance imaging (fMRI) data are considered a prime gateway to understanding network-type processes. We show, however, that standard methods for graphical modeling can fail to provide accurate graph recovery even with optimal tuning and large sample sizes. We attempt to solve this problem by leveraging information that is often readily available in practice but neglected, such as the spatial positions of the measurements. This information is incorporated into the tuning parameter of neighborhood selection, for example, in the form of pairwise distances. Our approach is computationally convenient and efficient, carries a clear Bayesian interpretation, and improves standard methods in terms of statistical stability. Applied to data about Alzheimer’s disease, our approach allows us to highlight the central role of lobes in the connectivity structure of the brain and to identify an increased connectivity within the cerebellum for Alzheimer’s patients compared to other subjects.

Graphical modeling based gene interaction analysis for microarray data

2003 ◽  
Vol 5 (2) ◽  
pp. 91-100 ◽  
Author(s):  
Xintao Wu ◽  
Yong Ye ◽  
Liying Zhang
Keyword(s):  
Microarray Data ◽  
Interaction Analysis ◽  
Gene Interaction ◽  
Graphical Modeling
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