STOR Colloquium: Jonathan Taylor, Stanford
Selective sampling after solving a convex problem
Recent work in the conditional approach to selective inference requires describing potentially complex conditional distributions. In this work, we describe a model-agnostic simplification to such conditional distributions when the selection stage can be expressed as a sequence of (randomized) convex programs with convex loss and structure inducing constraints or penalties. Our main result is a change of measure formula that expresses the selective likelihood in terms of an integral over variables appearing in the optimization problem. The region of integration can often be interpreted geometrically in terms of the normal cycle of the balls in the corresponding penalty. Using this change of measure, we give a brief description of “inferactive data analysis”, so-named to denote an interactive approach to data analysis with an emphasis on inference after data analysis.
This is joint work with Xiaoying Tian, Jelena Markovic, Snigdha Panigrahi and Nan Bi.
Refreshments will be served at 3:00pm in the 3rd floor lounge of Hanes Hall