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C Linear-exponential distance cost functions C · 2020

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Quadratic-form Optimal Transport

math.PR · 2025-01-08 · accept · novelty 8.0

Quadratic-form optimal transport is introduced, and for several cost classes including the rectangular cost, the unique minimizer is a new diamond-shaped coupling rather than the usual comonotone or antimonotone couplings.

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  • Quadratic-form Optimal Transport math.PR · 2025-01-08 · accept · none · ref 1

    Quadratic-form optimal transport is introduced, and for several cost classes including the rectangular cost, the unique minimizer is a new diamond-shaped coupling rather than the usual comonotone or antimonotone couplings.