Introduces Wasserstein-on-Wasserstein flow matching that realizes metameasure flows via nested Wasserstein geometry and scalable sliced/linear approximations for generative modeling of transport plans.
Fast and Robust Comparison of Probability Measures in Heterogeneous Spaces.CoRR2020,abs/2002.01615
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ReshapeOT improves optimal transport reliability for distribution shifts by replacing the Euclidean ground metric with a Mahalanobis distance derived from observed displacement second moments.
citing papers explorer
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Generalized Wasserstein Flow Matching: Transport Plans, Everywhere, All at Once
Introduces Wasserstein-on-Wasserstein flow matching that realizes metameasure flows via nested Wasserstein geometry and scalable sliced/linear approximations for generative modeling of transport plans.
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Reliable Modeling of Distribution Shifts via Displacement-Reshaped Optimal Transport
ReshapeOT improves optimal transport reliability for distribution shifts by replacing the Euclidean ground metric with a Mahalanobis distance derived from observed displacement second moments.