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Code for the article "Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation", Sadashige Ishida and Hugo Lavenant

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Dynamic optimal transport with the dual formulation

This is an implementation of the discretization of dynamic optimal transport introduced in the article,

A. Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation,
  Sadashige Ishida and Hugo Lavenant. Foundations of Computational Mathematics, 2024. [arXiv]

This repository also contains an example implementation of the discretization introduced in the article,

B. Optimal Transport with Proximal Splitting,
  Nicolas Papadakis, Gabriel Peyré, Edouard Oudet. SIAM Journal on Imaging Sciences [HAL repository]

Dependencies:

  • Code for A is written in Jupyter (Python 3) and requires the following python libraries: jupyter, numpy, scipy, matplotlib.
  • Code for B is written in Julia and requires the following Julia packages: LinearAlgebra, SparseArrays, TimerOutputs, QuadGK, DelimitedFiles.

Authors: Sadashige Ishida (code for A) and Hugo Lavenant (code for B).

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Code for the article "Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation", Sadashige Ishida and Hugo Lavenant

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