A KL-divergence-penalized transport problem, viewed as a pressure, recovers the Monge-Kantorovich solution and Kantorovich duality in the zero-temperature limit β→∞.
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Optimal transportation and pressure at zero temperature
A KL-divergence-penalized transport problem, viewed as a pressure, recovers the Monge-Kantorovich solution and Kantorovich duality in the zero-temperature limit β→∞.