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#machine learning Preprint Sep 2026

A Variational Optimal Transport Operator on Incompressible Flow

We present the Variational Incompressible Optimal Transport (VIOT) operator, a generative neural operator for amortized incompressible density transport. Given a new source-target density pair, VIOT predicts a divergence-free velocity field and generates the full transport trajectory by feed-forward inference, replacin...

Jin-Jin He, Shenyifan Lu, Si-Nan Wang et al. · 0 citations

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