Probability Seminar: Sampling Duality

Probability Seminar: Sampling Duality

Probability Seminar
Mar 1, 2023, 03:10 PM - 04:00 PM | 340 Evans Hall | Happening As Scheduled
Adrian Gonzalez Casanova, National Autonomous University of Mexico and UC Berkeley

Heuristically, two stochastic processes are dual if one can study one using the other. More formally, let (X_t) and (Y_t) be two real valued processes and let H be a measurable, R^2 \mapsto R function. We say that (X_t) and (Y_t) are H-dual if E[H(X_t,y)|X_0=x]=E[H(x,Y_t)|Y_0=y].

Sampling Duality is stochastic duality using a duality function S(n,x) of the form ¨what is the probability that...