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Benchmarking the performance of uncertainty quantification methods for neural network-based interatomic potentials.

Nicholas T Wimer1, Juliane Mueller2, Sebastien Hamel3

  • 1National Renewable Energy Laboratory, Golden, CO, USA. nwimer@nrel.gov.

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|April 14, 2026
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Summary
This summary is machine-generated.

Uncertainty quantification (UQ) for machine-learned interatomic potentials (ML-IAPs) is crucial. This study benchmarks different neural network potentials (NNPs) for UQ, finding aleatoric uncertainty competitive in data-rich areas but epistemic methods better in sparse regions.

Keywords:
Aleatoric UncertaintyEpistemic uncertaintyHyperparameter tuningMachine learned interatomic potentialNeural network potentialUncertainty quantification

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Area of Science:

  • Computational materials science
  • Machine learning in chemistry and physics
  • Scientific computing

Background:

  • Machine-learned interatomic potentials (ML-IAPs) offer efficient and accurate alternatives to traditional methods.
  • Uncertainty quantification (UQ) is vital for ML-IAP applications like dataset curation and active learning.
  • Differentiating between epistemic and aleatoric uncertainty is key for reliable ML-IAP predictions.

Purpose of the Study:

  • To construct and benchmark various neural network potential (NNP) architectures for UQ.
  • To compare the performance of models predicting epistemic versus aleatoric uncertainty.
  • To assess uncertainty calibration error across different network architectures and datasets.

Main Methods:

  • Development and evaluation of multiple NNP architectures.
  • Benchmarking against standard ML-IAP datasets.
  • Analysis of epistemic and aleatoric uncertainty prediction performance.
  • Comparison of single-shot and ensemble-based UQ methods.

Main Results:

  • Aleatoric uncertainty from single-shot models is competitive with ensemble-based epistemic uncertainty in data-dense regions.
  • In data-sparse regions, aleatoric models tend to overpredict, while epistemic models tend to underpredict errors.
  • Model performance varies significantly based on the type of uncertainty quantified and data characteristics.

Conclusions:

  • The choice of UQ method is critical and depends heavily on data distribution and application requirements.
  • Careful evaluation of UQ methods against data characteristics ensures reliable probabilistic model performance.
  • Understanding the distinct behaviors of epistemic and aleatoric uncertainty is essential for advancing ML-IAP applications.