A strong duality principle for equivalence couplings and total variation
A strong duality principle for equivalence couplings and total variation
We introduce and study a notion of duality for two classes of optimization problems commonly occurring in probability theory. That is, on an abstract measurable space (Ω,F), we consider pairs (E,G) where E is an equivalence relation on Ω and G is a sub-σ-algebra of F; we say that (E,G) …