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Sharp conditioning and quantitative stability of optimal transport

Ruan, Yuanlong
arXiv (All) · Papers
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numerical-analysisoptimization-and-controlprobability
When a feasible plan is obtained whose quadratic transport cost is known to be close to the optimal cost, we try to determine how close the feasible plan is to the true optimal map under mild density and moment conditions. The source and target may be unbounded or have non-compact supports. We show
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