Talk:Hutchinson metric

Huh?

Huh? ^Avruchtalk 15:16, 29 January 2008 (UTC)

That's what mathematical definitions look like! The article needs a qualitative description about what this metric is in the lead, and some discussion of applications, but the definition is as good as it's going to get, I expect. --Tango (talk) 17:29, 29 January 2008 (UTC)

Equivalent names

I forgot the references (e.g. some survey about Kantorovitch), but this "Hutchinson metric" appears in the literature under several names e.g. Monge-Kantorovitch metric, since it plays some role in the transportation problem and Monge-Ampere equation. Barnsley & others used this I think after Hutchinson papers, hence the new tradition. --Megaloxantha (talk) 03:02, 31 December 2008 (UTC)

Yes, that's my sense of the history, too. I believe it's most properly called the Wasserstein metric (look at the dual representation of W1). It's also called the Kantorovich-Rubinstein-Wasserstein metric, the Fortet-Mourier norm and the earth mover's distance.75.168.185.28 (talk) 03:20, 21 May 2009 (UTC)Craig

Only Finite Metric Spaces?

and in addition required as compact? — Preceding unsigned comment added by 130.83.2.200 (talk) 09:42, 24 July 2012 (UTC)

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