Explicit constructions approximate diffeomorphisms and pushforward measures via continuity equation flows with perceptron velocity fields of piecewise constant weights, using polar-like decompositions and probabilistic methods for regular maps.
Conditional simulation via entropic optimal transport: Toward non-parametric estimation of conditional brenier maps
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Constructive conditional normalizing flows
Explicit constructions approximate diffeomorphisms and pushforward measures via continuity equation flows with perceptron velocity fields of piecewise constant weights, using polar-like decompositions and probabilistic methods for regular maps.