A Framework for Wasserstein-1-Type Metrics
Optimization and Control
2018-03-13 v2 Computer Vision and Pattern Recognition
Numerical Analysis
Abstract
We propose a unifying framework for generalising the Wasserstein-1 metric to a discrepancy measure between nonnegative measures of different mass. This generalization inherits the convexity and computational efficiency from the Wasserstein-1 metric, and it includes several previous approaches from the literature as special cases. For various specific instances of the generalized Wasserstein-1 metric we furthermore demonstrate their usefulness in applications by numerical experiments.
Cite
@article{arxiv.1701.01945,
title = {A Framework for Wasserstein-1-Type Metrics},
author = {Bernhard Schmitzer and Benedikt Wirth},
journal= {arXiv preprint arXiv:1701.01945},
year = {2018}
}
Comments
to appear in Journal of Convex Analysis