The paper characterizes stability of the Kim-Milman flow map with respect to target measure variations measured in relative Fisher information.
A generalization of Caffarelli’s contraction theorem via (reverse) heat flow.Mathematische Annalen, 354(3):827–862, 2012
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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.