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Variational Incompressible Optimal Transport Operator for Flow-Based Generation
Researchers introduce the Variational Incompressible Optimal Transport (VIOT) operator, a generative neural operator designed to transport densities in an amortized way. Given a new pair of source and target densities, VIOT outputs a divergence-free velocity field to carry out the transformation. The approach targets incompressible flow settings, where the velocity field must remain divergence-free.