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Paper · arXiv

Learning smooth dynamics via Kinematic Interpolants

Inferring dynamics from real-world experimental data is inherently ambiguous, as many plausible dynamical systems can explain the same positional observations at measurement times. For higher fidelity modeling of applications ranging from single-cell RNA to vortex dynamics and even flocking of birds, scientific observables increasingly also include velocity estimates that serve to resolve this issue. However, incorporating this rich information in a scalable manner, free of simulation or unnecessary approximations, has remained a difficult challenge. In this paper, we introduce Kinematic Interpolants (KI), a novel framework that extends the seminal methodology of stochastic interpolants t...

AuthorsYiheng, Jiang, Youssef Marzouk et al.
Primary categorycs.LG
Published15 October 2026
Last updated at source15 October 2026
cs.LGstat.ML
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