Graduate Student / Postdoc Seminar

One often wishes to determine how a variable x depend on factors z, such as how the effect of a medical treatment depends on the treatment itself and on characteristics of the patient. This talk will describe how to use a set of observed pairs (x_i, z_i) to simulate the conditional probability rho(x|z) for any value of z, with tools based on the mathematical theory of optimal transport. Related problems we will discuss include “factor discovery”: finding hidden factors z that help explain variability in a variable x.