Reproduce “On the Theoretical Limits of Learning Unconstrained Interatomic Potentials” on OpenResearch

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About this paper

Prajwal Ananth, Shuwen Yue

The authors construct worst-case landscapes testing whether small target-weighted energy and force errors ensure molecular dynamics samples the correct distribution. They show kinetic trapping and wrong learned equilibria can yield total variation distance at least 1−e^−Ω(d), despite exponentially small errors. In harmonic argon at N=128, all four unconstrained trajectories leave the crystal basin; this does not establish practical MLIP failures.

Summary by alphaXiv.

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