English

Nested distance for stagewise-independent processes

Optimization and Control 2017-11-30 v1

Abstract

We prove that, for two discrete-time stagewise-independent processes with a stagewise metric, the nested distance is equal to the sum of the Wasserstein distances between the marginal distributions of each stage.

Cite

@article{arxiv.1711.10633,
  title  = {Nested distance for stagewise-independent processes},
  author = {Filipe Goulart Cabral and Bernardo Freitas Paulo da Costa},
  journal= {arXiv preprint arXiv:1711.10633},
  year   = {2017}
}

Comments

24 pages, 6 figures

R2 v1 2026-06-22T23:00:17.838Z