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Stability of the Kim--Milman flow map

Published 3 Nov 2025 in math.PR, cs.LG, math.ST, and stat.TH | (2511.01154v1)

Abstract: In this short note, we characterize stability of the Kim--Milman flow map -- also known as the probability flow ODE -- with respect to variations in the target measure. Rather than the Wasserstein distance, we show that stability holds with respect to the relative Fisher information

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