Results 11 to 20 of about 667,528 (289)
Optimal Pricing for Optimal Transport [PDF]
Set-Valued and Variational Analysis, 2014 Suppose that $c(x,y)$ is the cost of transporting a unit of mass from $x\in X$ to $y\in Y$ and suppose that a mass distribution $ $ on $X$ is transported optimally (so that the total cost of transportation is minimal) to the mass distribution $ $ on $Y$.
Bartz, Sedi, Reich, Simeon
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Ricci Curvature on Polyhedral Surfaces via Optimal Transportation [PDF]
Axioms, 2014 The problem of correctly defining geometric objects, such as the curvature, is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs.
Benoît Loisel, Pascal Romon
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Autoregressive optimal transport models
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023 Abstract Series of univariate distributions indexed by equally spaced time points are ubiquitous in applications and their analysis constitutes one of the challenges of the emerging field of distributional data analysis. To quantify such distributional time series, we propose a class of intrinsic autoregressive models that operate in the
Changbo Zhu, Hans-Georg Müller
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Regularity of optimal mapping between hypercubes
Advanced Nonlinear Studies, 2023 In this note, we establish the global C3,α{C}^{3,\alpha } regularity for potential functions in optimal transportation between hypercubes in Rn{{\mathbb{R}}}^{n} for n≥3n\ge 3. When n=2n=2, the result was proved by Jhaveri.
Chen Shibing, Liu Jiakun, Wang Xu-Jia
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On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
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Multi-View Representation Learning via Dual Optimal Transportation
IEEE Access, 2021 Recently, multi-view representation learning has gained rapid growth in various fields. Most of previous multi-view learning methods rely on strong notions of distances that often provide no useful gradients in deep network training, which greatly ...
Peng Li +4 more
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Fully fuzzy transportation problems with pentagonal and hexagonal fuzzy numbers [PDF]
Journal of Applied Research on Industrial Engineering, 2021 The aim of this paper is to introduce a formulation of fully fuzzy transportation problems involving pentagonal and hexagonal fuzzy numbers for the transportation costs and values of supplies and demands.
Ladji Kane +4 more
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Semidual Regularized Optimal Transport [PDF]
SIAM Review, 2018 Variational problems that involve Wasserstein distances and more generally optimal transport (OT) theory are playing an increasingly important role in data sciences. Such problems can be used to form an examplar measure out of various probability measures, as in the Wasserstein barycenter problem, or to carry out parametric inference and density ...
Cuturi, Marco, Peyré, Gabriel
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Journal of Transportation and Logistics, 2022 In order to respond to increasing demand in line with the effects of globalization and the consumers’ preferences, the transportation sector has needed to focus on constantly improving itself and its efficiency.
Melih Çelik, Yasin Gültekin
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Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga
Majalah Ilmiah Matematika dan Statistika, 2023 One special case in transportation problems is the problem of fixed cost transportation, where in this transportation problem there are two cost components, namely fixed costs and variable costs.
Nizmi Fitri Rahayu +2 more
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