The paper characterizes stability of the Kim-Milman flow map with respect to target measure variations measured in relative Fisher information.
Weak semiconvexity estimates for Schr¨ odinger potentials and logarithmic Sobolev inequality for Schr¨ odinger bridges.Probability Theory and Related Fields, 189(3):1045–1071, 2024
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Stability of the Kim--Milman flow map
The paper characterizes stability of the Kim-Milman flow map with respect to target measure variations measured in relative Fisher information.