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math.PR2023
Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds
Jason M. Altschuler, Sinho Chewi
We apply the shifted composition rule -- an information-theoretic principle introduced in our earlier work [AC23] -- to establish shift Harnack inequalities for the Langevin diffus…
math.PR2023★ 2 cited
Shifted Composition I: Harnack and Reverse Transport Inequalities
Jason M. Altschuler, Sinho Chewi
We formulate a new information-theoretic principle--the shifted composition rule--which bounds the divergence (e.g., Kullback-Leibler or Rényi) between the laws of two stochastic p…