Junbo Chen, Vara Lakshmi Bayanagari, Sohae Chung, Yao Wang, Yvonne W Lui
Deep learning with diffusion MRI as in vivo microscope reveals sex-related differences in human white matter microstructure
Scientific reports
paper studies multiplicitycorrection effect standard bayesian variableselection priors linear regression first goal clarify multiplicity correction happens automatically bayesian analysis distinguish correction bayesian ockhamsrazor effect second goal contrast empiricalbayes fully bayesian approaches variable selection examples theoretical results simulations considerable differences two approaches found particular prove theorem characterizes surprising aymptotic discrepancy fully bayes empirical bayes discrepancy arises different source failure account hyperparameter uncertainty empiricalbayes estimate indeed even extreme empiricalbayes estimate converges asymptotically true variableinclusion probability potential serious difference remains