A Simple and Scalable Kernel Density Approach for Reliable Uncertainty Quantification in Atomistic Machine Learning
Source abstract
Abstract
High Resolution Image Download MS PowerPoint Slide Machine learning models are increasingly used to predict material properties and accelerate atomistic simulations, but the reliability of their predictions depends on the representativeness of the training data. We present a scalable, GPU-accelerated uncertainty quantification framework based on k -nearest-neighbor kernel density estimation (KDE) in a PCA-reduced descriptor space. This method efficiently detects sparsely sampled regions in large, high-dimensional data sets and provides a transferable, model-agnostic uncertainty metric without requiring retraining costly model ensembles. The framework is validated across diverse case studies varying in (i) chemistry, (ii) prediction models (including foundational neural network), (iii) descriptors used for KDE estimation, and (iv) properties whose uncertainty is sought. In all cases, the KDE-based score reliably flags extrapolative configurations, correlates well with conventional ensemble-based uncertainties, and highlights regions of reduced prediction trustworthiness. The approach offers a practical route for improving the interpretability, robustness, and deployment readiness of ML models in materials science.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Machine Learning in Materials Science · Computational Drug Discovery Methods · Advanced Materials Characterization Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Physical and Macromolecular Chemistry, Charles University, Hlavova 8, Praha 2, Prague 12800, Czech Republic
Funding
Ministerstvo ?kolstv?, Ml?de?e a Telov?chovy · Grantov? Agentura Cesk? Republiky · Univerzita Karlova v Praze · MIT-Czech Republic IOCB Tech Foundation Seed Fund
References (37)
Show source-provided references
1. 10.1038/s41524-022-00884-710.1038/s41524-022-00884-7 ↗
2. 10.1021/acsphyschemau.4c0000410.1021/acsphyschemau.4c00004 ↗
3. 10.1039/D2DD00102K10.1039/D2DD00102K ↗
4. 10.1038/s41524-020-0283-z10.1038/s41524-020-0283-z ↗
5. 10.1103/PhysRevLett.122.22570110.1103/PhysRevLett.122.225701 ↗
6. 10.48550/arXiv.2302.0887510.48550/arXiv.2302.08875 ↗
7. 10.1063/5.013657410.1063/5.0136574 ↗
8. 10.1021/acs.jcim.4c0090410.1021/acs.jcim.4c00904 ↗
9. 10.1038/s41524-025-01572-y10.1038/s41524-025-01572-y ↗
10. 10.1021/acs.jpcc.4c0497210.1021/acs.jpcc.4c04972 ↗
11. 10.1103/PhysRevLett.98.14640110.1103/PhysRevLett.98.146401 ↗
12. 10.1038/s41524-023-01180-810.1038/s41524-023-01180-8 ↗
13. 10.1016/0098-3004(93)90090-R10.1016/0098-3004(93)90090-R ↗
14. 10.1109/TBDATA.2019.292157210.1109/TBDATA.2019.2921572 ↗
15. 10.1016/j.aca.2012.11.00710.1016/j.aca.2012.11.007 ↗
16. 10.1103/PhysRevB.94.18410910.1103/PhysRevB.94.184109 ↗
17. 10.1103/PhysRevB.100.01410510.1103/PhysRevB.100.014105 ↗
18. Silverman B. W. · 1986
19. 10.1109/ICNN.1994.37413810.1109/ICNN.1994.374138 ↗
20. 10.5555/3495724.349697510.5555/3495724.3496975 ↗
21. 10.1103/PhysRevB.87.18411510.1103/PhysRevB.87.184115 ↗
22. 10.48550/arXiv.2401.0009610.48550/arXiv.2401.00096 ↗
23. 10.1038/s41467-024-50407-910.1038/s41467-024-50407-9 ↗
24. 10.1038/s41467-021-25342-810.1038/s41467-021-25342-8 ↗
25. 10.1038/s41524-025-01573-x10.1038/s41524-025-01573-x ↗
26. 10.1021/acs.jctc.8b0090810.1021/acs.jctc.8b00908 ↗
27. 10.26434/chemrxiv-2025-tjz1c10.26434/chemrxiv-2025-tjz1c ↗
28. 10.1039/D4NR00017J10.1039/D4NR00017J ↗
29. Baerlocher, C.; Brouwer, D.; Marler, B.; McCusker, L. B. Database of Zeolite Structures. https://www.iza-structure.org/databases/.
30. 10.1038/s41467-024-48609-210.1038/s41467-024-48609-2 ↗
31. 10.1038/s42256-023-00716-310.1038/s42256-023-00716-3 ↗
32. Christensen, A. S.; Lilienfeld, A. V. Revised MD17 dataset (rMD17). 2020; https://figshare.com/articles/Revised_MD17_dataset_rMD17_/12672038/3.
33. 10.48550/arXiv.2206.0769710.48550/arXiv.2206.07697 ↗
34. Dodge, Y. The Concise Encyclopedia of Statistics ; Springer: New York, 2008; pp 502–505.
35. 10.1039/D4DD00306C10.1039/D4DD00306C ↗
36. 10.26434/chemrxiv-2025-1p3dj10.26434/chemrxiv-2025-1p3dj ↗
37. 10.1063/1.280198410.1063/1.2801984 ↗