Wasserstein metric

Summary

Wasserstein metric is a metric function^[1]. It ranks in the top 10% of metric_function entities by monthly Wikipedia readership (714 views/month).^[2]

Key Facts

• Wasserstein metric's instance of is recorded as metric function^[3].
• Wasserstein metric's instance of is recorded as statistical distance^[4].
• Leonid Vaserstein is named after Wasserstein metric^[5].
• Leonid Kantorovich is named after Wasserstein metric^[6].
• Wasserstein metric's Bibliothèque nationale de France ID is recorded as 180898756^[7].
• Wasserstein metric's subclass of is recorded as metric function^[8].
• Wasserstein metric's Freebase ID is recorded as /m/0gj9bh^[9].
• Wasserstein metric's Stack Exchange tag is recorded as https://mathoverflow.net/tags/wasserstein-distance^[10].
• Wasserstein metric's defining formula is recorded as W_p (\mu, \nu):=\left( \inf_{\gamma \in \Gamma (\mu, \nu)} \int_{M \times M} d(x, y)^p \, \mathrm{d} \gamma (x, y) \right)^{1/p}^[11].
• Wasserstein metric's studied by is recorded as probability theory^[12].
• Wasserstein metric's nLab ID is recorded as Wasserstein metric^[13].
• Wasserstein metric's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• Wasserstein metric's Microsoft Academic ID is recorded as 2777634741^[15].
• Wasserstein metric's Encyclopedia of Mathematics article ID is recorded as Wasserstein_metric^[16].
• Wasserstein metric's OpenAlex ID is recorded as C2777634741^[17].
• Wasserstein metric's Encyclopedia of China is recorded as 413492^[18].

Why It Matters

Wasserstein metric ranks in the top 10% of metric_function entities by monthly Wikipedia readership (714 views/month).^[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.^[19] It is known by 10 alternative names across languages and contexts.^[20]