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math.PR2025
Entropic continuity bounds for conditional covariances with applications to Schr\" odinger and Sinkhorn bridges
Pierre Del Moral
The article presents new entropic continuity bounds for conditional expectations and conditional covariance matrices. These bounds are expressed in terms of the relative entropy be…
math.PR2025
On the contraction properties of Sinkhorn semigroups
O. Deniz Akyildiz, Pierre del Moral, Joaquin Miguez
We develop a novel stability theory for Sinkhorn semigroups based on Lyapunov techniques and quantitative contraction coefficients, and establish exponential convergence of Sinkhor…