On the Translocation of Masses
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Cites background from "On the Translocation of Masses"
...A continuous-time version of this was proven in Karlin and McGregor (1959) (see also Keilson (1979) and Fill (2007))....
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...The transportation metric was introduced in Kantorovich (1942). It has been rediscovered many times and is also known as the Wasserstein metric, thanks to a reintroduction in Vasershtein (1969)....
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...The transportation metric was introduced in Kantorovich (1942). It has been rediscovered many times and is also known as the Wasserstein metric, thanks to a reintroduction in Vasershtein (1969). For some history of this metric, see Vershik (2004). See also Villani (2003). The name “transportation metric” comes from the following problem: suppose a unit of materiel is spread over n locations {1, 2, ....
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...The transportation metric was introduced in Kantorovich (1942). It has been rediscovered many times and is also known as the Wasserstein metric, thanks to a reintroduction in Vasershtein (1969). For some history of this metric, see Vershik (2004). See also Villani (2003)....
[...]
...The transportation metric was introduced in Kantorovich (1942). It has been rediscovered many times and is also known as the Wasserstein metric, thanks to a reintroduction in Vasershtein (1969). For some history of this metric, see Vershik (2004)....
[...]
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Cites methods from "On the Translocation of Masses"
...As in the discrete case the task of computing the Monge distance is facilitated by a relaxation of the problem (in this case due to Kantorovitch [514]), which is explicitly symmetric with respect to the two distributions....
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