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Numerical computation of martingale optimal transport on real line Guo, Gaoyue
Description
We provide two numerical methods for solving the one dimensional martingale optimal transport problem, based respectively on the primal and dual problems. The first scheme considers the approximation of marginal distributions, through which the primal problem reduces to a linear optimisation problem. The second one aims at solving a minimisation problem $\psi\mapsto J(\psi)$ over the space of continuous functions $\psi: R\to R$ with linear growth, where $J$ involves some concave envelope and can be computed numerically. The second approach allows not only to solve the martingale optimal transport problem, but also to yield a family of approximating dual optimisers.
Item Metadata
Title |
Numerical computation of martingale optimal transport on real line
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-01T16:30
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Description |
We provide two numerical methods for solving the one dimensional
martingale optimal transport problem, based respectively on the primal and dual problems. The first scheme considers the approximation of marginal distributions, through which the primal problem reduces to a linear optimisation problem. The second one aims at solving a minimisation problem $\psi\mapsto J(\psi)$ over the space of continuous functions $\psi: R\to R$ with linear growth, where $J$ involves some concave envelope and can be computed numerically. The second approach allows not only to solve the martingale optimal transport problem, but also to yield a family of approximating dual optimisers.
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Extent |
27 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Oxford University
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Series | |
Date Available |
2017-10-29
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0357379
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International