Concept

Transportation theory (mathematics)

Related publications (37)

Improved stability of optimal traffic paths

Models involving branched structures are employed to describe several supply-demand systems such as the structure of the nerves of a leaf, the system of roots of a tree, and the nervous or cardiovascular systems. Given a flow (traffic path) that transports ...

2018

An Exact Convex Formulation of the Optimal Power Flow in Radial Distribution Networks Including Transverse Components

Jean-Yves Le Boudec, Mario Paolone, Mostafa Nick

The recent literature discusses the use of the relaxed Second Order Cone Programming (SOCP) for formulating Optimal Power Flow problems (OPF) for radial power grids. However, if the shunt parameters of the lines that compose the power grid are considered, ...

2018

Fréchet means in Wasserstein space

Yoav Zemel

This work studies the problem of statistical inference for Fréchet means in the Wasserstein space of measures on Euclidean spaces,

\mathcal W_2 ( \mathbb R^d )

. This question arises naturally from the problem of separating amplitude and phase variation i ...

EPFL2017

An Alternating Trust Region Algorithm for Distributed Linearly Constrained Nonlinear Programs, Application to the Optimal Power Flow Problem

Colin Neil Jones, Jean-Hubert Hours

A novel trust region method for solving linearly constrained nonlinear programs is presented. The proposed technique is amenable to a distributed implementation, as its salient ingredient is an alternating projected gradient sweep in place of the Cauchy po ...

2017

Manhattan Under Water (New York, USA)

Martha Luise Müller

Entre traces et résilience, la zone traitée est marquée par l'empreinte d'événements climatiques liés aux précipitations. Aux différentes échelles, du bâtiment au quartier, de nouveaux niveaux de référence sont traités de manière visible. Ils sont directem ...

2016

Multimarginal Optimal Transport Maps for One-dimensional Repulsive Costs

Maria Colombo

We study a multimarginal optimal transportation problem in one dimension. For a symmetric, repulsive cost function, we show that, given a minimizing transport plan, its symmetrization is induced by a cyclical map, and that the symmetric optimal plan is uni ...

2015

Equality between Monge and Kantorovich multimarginal problems with Coulomb cost

Maria Colombo

A standard question arising in optimal transport theory is whether the Monge problem and the Kantorovich relaxation have the same infimum; the positive answer means that we can pass to the relaxed problem without loss of information. In the classical case ...

2015

Fabrication-Aware Design with Performative Criteria

Yuliy Gennadievich Schwartzburg

Artists and architects often need to handle multiple constraints during design of physical constructions. We define a performative constraint as any constraint on design that is tied to the performance of the model--either during fabrication, construction, ...

EPFL2015

Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Jean-Christophe Mourrat

The article begins with a quantitative version of the martingale central limit theorem, in terms of the Kantorovich distance. This result is then used in the study of the homogenization of discrete parabolic equations with random i.i.d. coefficients. For s ...

Springer Heidelberg2014

High-contrast Computational Caustic Design

Mark Pauly, Andrea Tagliasacchi, Yuliy Gennadievich Schwartzburg, Romain Pierre Testuz

We present a new algorithm for computational caustic design. Our algorithm solves for the shape of a transparent object such that the refracted light paints a desired caustic image on a receiver screen. We introduce an optimal transport formulation to esta ...

ACM2014

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Fréchet means in Wasserstein space

Yoav Zemel

This work studies the problem of statistical inference for Fréchet means in the Wasserstein space of measures on Euclidean spaces,

\mathcal W_2 ( \mathbb R^d )

. This question arises naturally from the problem of separating amplitude and phase variation i ...

EPFL2017