4.6 Article

Exploring the robust extrapolation of high-dimensional machine learning potentials

Journal

PHYSICAL REVIEW B
Volume 105, Issue 16, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.165141

Keywords

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Funding

  1. European Union [824143]
  2. European Research Council (ERC) under the European Union [890414]
  3. Marie Curie Actions (MSCA) [890414] Funding Source: Marie Curie Actions (MSCA)

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This passage discusses the characteristics of machine learning potentials built upon high-dimensional atom-density representations, indicating that the probability density induced by training points in the representation space plays a significant role in robust extrapolation and accurate prediction.
We show that, contrary to popular assumptions, predictions from machine learning potentials built upon highdimensional atom-density representations almost exclusively occur in regions of the representation space which lie outside the convex hull defined by the training set points. We then propose a perspective to rationalize the domain of robust extrapolation and accurate prediction of atomistic machine learning potentials in terms of the probability density induced by training points in the representation space.

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