NGIF leverages gauge freedom in the continuity equation to learn non-gradient vector fields, improving distributional accuracy and non-potential transport capture over gradient-restricted baselines on low- and high-dimensional physics problems.
Benamou–Brenier and duality formulas for the entropic cost onRCD ∗(K, N) spaces
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The Benamou-Brenier formula holds for the Schrödinger problem on sub-Gaussian probability measures via PDE estimates on potentials and entropic interpolation.
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Leveraging Gauge Freedom for Learning Non-Gradient Population Dynamics of Stochastic Systems
NGIF leverages gauge freedom in the continuity equation to learn non-gradient vector fields, improving distributional accuracy and non-potential transport capture over gradient-restricted baselines on low- and high-dimensional physics problems.
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A PDE approach to Benamou--Brenier formula for the Schr\"odinger problem
The Benamou-Brenier formula holds for the Schrödinger problem on sub-Gaussian probability measures via PDE estimates on potentials and entropic interpolation.