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Spatial distribution and the imbalance between supply and demand: an analysis of the geographical characteristics and regional differences of elderly care institutions in China. [PDF]
Int J Health GeogrZhang K +5 more
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Enhance triangular fuzzy parametric framework for solid multi objective transportation problem with split decision variables. [PDF]
Sci RepJoshi VD +4 more
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Preconditioning of Optimal Transport
SIAM Journal on Scientific Computing, 2017Summary: A preconditioning procedure is developed for the \(L_2\) and more general optimal transport problems. The procedure is based on a family of affine map pairs which transforms the original measures into two new measures that are closer to each other while preserving the optimality of solutions.
Kuang, Max, Tabak, Esteban G.
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Communications on Pure and Applied Mathematics, 2015
AbstractThe problem of optimal transport between two distributions ρ(x) and μ(y) is extended to situations where the distributions are only known through a finite number of samples {xi} and {yj}. A weak formulation is proposed, based on the dual of the Kantorovich formulation, with two main modifications: replacing the expected values in the objective ...
Trigila, Giulio, Tabak, Esteban G.
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AbstractThe problem of optimal transport between two distributions ρ(x) and μ(y) is extended to situations where the distributions are only known through a finite number of samples {xi} and {yj}. A weak formulation is proposed, based on the dual of the Kantorovich formulation, with two main modifications: replacing the expected values in the objective ...
Trigila, Giulio, Tabak, Esteban G.
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2014
The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory
openaire +1 more source
The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory
openaire +1 more source
Journal of Optimization Theory and Applications
The authors investigate the problem of optimal transport of continuous maps, where the cost depends on the distance on the space of continuous maps. They consider transport for the graph of a continuous map to another, instead of the probability measure. Within the space of continuous maps, the authors define a minimal cost distance and investigate the
Woochul Jung, Carlos Morales, Xiao Wen
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The authors investigate the problem of optimal transport of continuous maps, where the cost depends on the distance on the space of continuous maps. They consider transport for the graph of a continuous map to another, instead of the probability measure. Within the space of continuous maps, the authors define a minimal cost distance and investigate the
Woochul Jung, Carlos Morales, Xiao Wen
openaire +1 more source
2014
The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory
Ollivier, Yann +2 more
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The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory
Ollivier, Yann +2 more
openaire +1 more source