Journal ArticleDOI
Optimal transportation with constant constraint
Reads0
Chats0
TLDR
In this paper, the authors consider optimal transportation with constraint, as did Korman and McCann (2013), and provide simplifications and generalizations of their examples and results, and provide some new examples.Abstract:
We consider optimal transportation with constraint, as did Korman and McCann (2013, 2015), provide simplifications and generalizations of their examples and results, and provide some new examples and results.read more
Citations
More filters
Journal ArticleDOI
Задача Канторовича оптимальной транспортировки мер: новые направления исследований
TL;DR: In this article , the authors proposed a method to improve the quality of the data collected by the system by using the information from the users' own data points of interest (e.g., the data points from the user's phone, the phone number, etc.).
References
More filters
Book
Optimal Transport: Old and New
TL;DR: In this paper, the authors provide a detailed description of the basic properties of optimal transport, including cyclical monotonicity and Kantorovich duality, and three examples of coupling techniques.
Journal ArticleDOI
On the Translocation of Masses
TL;DR: In this paper, Kantorovich and Akad defined a translocation of masses as a function Ψ(e, e′) defined for pairs of (B)-sets e, e − ∈ R such that: (1) it is nonnegative and absolutely additive with respect to each of its arguments, (2) Φ (e, R) = Φ(e), Ψ (R, e−∆), Ω(R, E − ∆), e− ∆ = Π(e−∀ −∆ −
Journal ArticleDOI
Prekopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport
TL;DR: In this paper, the authors investigated Prekopa-Leindler type inequalities on a Riemannian manifold M equipped with a measure with density e V where the potential V and the Ricci curvature satisfy Hessx V + Ricx I for all x 2 M, with some 2 R.