Optimal transport inference

I feel the earth mover under my feet, I feel the ψ tumbling down, I feel my heart start to trembling, Whenever you're around my empirical density in minimal transport cost

Doing inference where the probability metric is an optimal-transport one. Usually intractable, but desirable when we can get it.

Wasserstein GANs are argued to approximate this.

See e.g. (J. H. Huggins et al. 2018b, 2018a) for a particular Bayes posterior approximation to this.



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