Math 2.0

Calculus of variations and optimal control; optimization Concept

Wasserstein metric

Summary

The Wasserstein metric is a distance between probability measures on a metric space. It is the least cost of moving one mass distribution onto the other. The cost of moving a unit of mass is a power of the distance it travels. It is the central distance of optimal transport, and it metrizes weak convergence together with convergence of moments.

Where this leads

1 page builds on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Wasserstein_metric
About this page
TagVEY29CS26X
URIm2://VEY29CS26X
Kindconcept
WritingW0 stub
MSC49Q22, 60B10, 28A33
Same as
Changed2 November 2026

Markdown · JSON · Edit on GitHub

What this page needs for W1

  • a source with a locator (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

Definitions

Results about this

Used by