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Updated: Aug 30, 2025

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
Published on: September 7, 2019
A universal similarity based approach for predictive uncertainty quantification in materials science
Vadim Korolev1, Iurii Nevolin2, Pavel Protsenko3
1Department of Chemistry, Lomonosov Moscow State University, Moscow, 119991, Russia. korolewadim@gmail.com.
A new uncertainty quantification (UQ) method, the Δ-metric, is introduced for machine learning (ML) models in materials informatics. This universal approach accurately ranks predictive errors, offering a cost-effective solution for diverse ML applications.
Area of Science:
- Materials Informatics
- Machine Learning
- Computational Science
Background:
- Significant advancements in machine learning (ML) accuracy have been made, yet robust uncertainty quantification (UQ) remains a challenge.
- Current UQ methods are often model-specific or rely on complex ensemble techniques, necessitating a universal approach.
- There is a critical need for a UQ method applicable to single ML models across various algorithms.
Purpose of the Study:
- To introduce a novel, universal uncertainty quantification (UQ) measure, the Δ-metric, for machine learning models.
- To address the limitations of existing model-specific or ensemble-based UQ methods.
- To provide a readily applicable UQ technique for diverse ML algorithms in materials informatics.
Main Methods:
- Developed the Δ-metric, a quantitative criterion inspired by the k-nearest neighbor approach used in chemoinformatics for applicability domain estimation.
- Applied the Δ-metric to assess uncertainty in machine learning models across various material classes, ML algorithms, and input feature types.
- Compared the performance of the Δ-metric against established UQ methods.
Main Results:
- The Δ-metric demonstrated superior performance in accurately ranking predictive errors compared to several existing UQ methods.
- The proposed UQ measure proved effective across diverse materials, machine learning algorithms, and input feature types, highlighting its universality.
- The Δ-metric offers a low-cost alternative and potential complement to advanced deep ensemble strategies for UQ.
Conclusions:
- The Δ-metric represents a significant advancement in uncertainty quantification for machine learning in materials informatics.
- Its universality and effectiveness across various scenarios make it a valuable tool for assessing the reliability of ML predictions.
- The Δ-metric provides a practical and efficient solution for enhancing the trustworthiness of machine learning models in scientific research.
Related Concept Videos
Propagation of Uncertainty from Systematic Error
Uncertainty: Overview
Propagation of Uncertainty from Random Error
The Uncertainty Principle
Uncertainty in Measurement: Accuracy and Precision
Estimation of the Physical Quantities

