399 citations · 1.4k across the 49 of their papers we have counts for
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math.OC2008
From Knothe's transport to Brenier's map and a continuation method for optimal transport
Guillaume Carlier, Alfred Galichon, Filippo Santambrogio
A simple procedure to map two probability measures in is the so-called \emph{Knothe-Rosenblatt rearrangement}, which consists in rearranging monotonically the margin…
math.ST2008★ 208 cited
Improving Point and Interval Estimates of Monotone Functions by Rearrangement
Victor Chernozhukov, Ivan Fernandez-Val, Alfred Galichon
Suppose that a target function is monotonic, namely, weakly increasing, and an available original estimate of this target function is not weakly increasing. Rearrangements, univari…