Uncertainty in the era of machine learning for atomistic modeling

The widespread adoption of machine learning surrogate models has significantly improved the scale and complexity of systems and processes that can be explored accurately and efficiently using atomistic modeling. However, the inherently data-driven nature of machine learning models introduces uncertainties that must be quantified, understood, and effectively managed to ensure reliable predictions and conclusions. Building upon these premises, in this perspective, we first overview state-of-the-art uncertainty estimation methods, from Bayesian frameworks to ensembling techniques, and discuss their application in atomistic modeling. We then examine the interplay between model accuracy, uncertainty, training dataset composition, data acquisition strategies, model transferability, and robustness. In doing so, we synthesize insights from the existing literature and highlight areas of ongoing debate.

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References (20)

10See arXiv preprint arXiv:1206.1901, also published2011 · Handbook of Markov Chain Monte Carlo
11˜ σ ( x ) machine-learning prediction, corresponding to input x , for the uncertainty in mean-variance estimates and mean-variance ensemblesSec. II C
12The only dependence on the specific target quantity and values is through the value of the regularizer that is included to make the inversion of the covariance matrix numerically stable

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