Key points are not available for this paper at this time.
We derive inequalities of the form (P, Q) H (P|R) + H (Q|R) which hold for every choice of probability measures P, Q, R, where H (P|R) denotes the relative entropy of P with respect to R and (P, Q) stands for a coupling type "distance" between P and Q. Using the chain rule for relative entropies and then specializing to Q with a given support we recover some of Talagrand's concentration of measure inequalities for product spaces.
Amir Dembo (Tue,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: