Kantorovich Metric: Initial History and Little-Known Applications

By Anatoly M. Vershik. 2005

103 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/90781b535793e4ac69bc99983a83f02dc2775bf3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yuxin Deng
2. Chaoyue Zhao
3. Yongpei Guan
4. Wenjie Du

In Geometry and Topology

1. Yuxin Deng
2. Chaoyue Zhao
3. Yongpei Guan
4. Wenjie Du

In Mathematical Physics

1. Yuxin Deng
2. Chaoyue Zhao
3. Yongpei Guan
4. Wenjie Du

Citations in the corpus

• Logical, Metric, and Algorithmic Characterisations of Probabilistic Bisimulation (2011, background): “are special cases of the general definition of the Kantorovich metric [65].”
• Data-driven risk-averse stochastic optimization with Wasserstein metric (2018, background): “The empirical distribution function is a step function that jumps up by 1/N at each of the N independent and identicallydistributed (i.i.d.) data points.”