Overview
Syllabus
Intro
A natural Gaussian randomization scheme
Randomized conditional approach
Can Polyhedral Lemma come to our rescue?
Breakdown of Polyhedral Lemma
Randomized inference is computationally challenging
Full model and target
Randomized selective law
Approximate reference - MCMC free approach
Basis of approximation
Approximate density: simple problem
Confidence intervals
Selective MLE - Point Estimate
Marginal screening of eGenes
Validity of inference - Coverage of intervals
Power - Lengths of intervals
Point Estimation - Comparison of risks
Revisit LASSO: Data generative scheme
Taught by
Simons Institute