A reproducing kernel Hilbert space embedding of the weak continuity equation yields a sample-only objective for continuum-marginal optimal transport solved via mini-batch stochastic optimization of parametrized velocities.
Wendland.Scattered Data Approximation
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Continuum-marginal optimal transport: a mesh-free kernel method
A reproducing kernel Hilbert space embedding of the weak continuity equation yields a sample-only objective for continuum-marginal optimal transport solved via mini-batch stochastic optimization of parametrized velocities.