Optimal transportation for the determinant
最优化与控制
2009-02-12 v1
摘要
Among -valued triples of random vectors having fixed marginal probability laws, what is the best way to jointly draw in such a way that the simplex generated by has maximal average volume? Motivated by this simple question, we study optimal transportation problems with several marginals when the objective function is the determinant or its absolute value.
引用
@article{arxiv.math/0612142,
title = {Optimal transportation for the determinant},
author = {Guillaume Carlier and Bruno Nazaret},
journal= {arXiv preprint arXiv:math/0612142},
year = {2009}
}