At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …

This paper discusses certain modifications of the ideas concerning the Gromov–Hausdorff
distance which have the goal of modeling and tackling the practical problems of object …

Image registration is the process of establishing a common geometric reference frame
between two or more image data sets possibly taken at different times. In this paper we …

The Wasserstein distance is an attractive tool for data analysis but statistical inference is
hindered by the lack of distributional limits. To overcome this obstacle, for probability …

An algebraic decay rate is derived which bounds the time required for velocities to
equilibrate in a spatially homogeneous flow-through model representing the continuum limit …

Hedonic pricing with quasi-linear preferences is shown to be equivalent to stable matching
with transferable utilities and a participation constraint, and to an optimal transportation …

The concept of miss distance-Euclidean, Mahalanobis, etc.-is a fundamental, far-reaching,
and taken-for-granted element of the engineering theory and practice of single-target …

Given compactly supported 0≤ f, g∈ L¹ (ℝ n), the problem of transporting a fraction m≤
min∥ f∥ L 1,∥ g∥ L 1 of the mass of f onto g as cheaply as possible is considered, where …

We give a necessary and sufficient condition on the cost function so that the map solution of
Monge's optimal transportation problem is continuous for arbitrary smooth positive data. This …

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer
science community due to its potency and relevance in modeling and machine learning. It …