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Updated: Apr 22, 2026

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
Published on: September 7, 2019
Cross-instrument coal quality spectral analysis via a PDS-assisted fine-tuning calibration transfer method
Junlong Gao1, Jiaxuan Li1, Jiaxin Yin1
1State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, 030006, China; Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, 030006, China.
A new PDS-FT method improves X-ray fluorescence (XRF) ash content prediction across different instruments. This approach enhances model accuracy and reliability for coal quality analysis, overcoming spectral inconsistencies.
Area of Science:
- Analytical Chemistry
- Geochemistry
- Machine Learning
Background:
- X-ray fluorescence (XRF) instruments exhibit device-related variations causing spectral inconsistencies.
- These inconsistencies degrade quantitative coal quality models, particularly for ash content prediction.
- Existing calibration transfer and single-stage transfer learning methods struggle with significant inter-instrument spectral discrepancies, especially with limited samples.
Purpose of the Study:
- To propose a two-stage transfer learning framework, PDS-FT, for enhanced cross-instrument ash content prediction using XRF.
- To systematically evaluate the performance of PDS-FT against other methods like PDS, FT, DANN, and PDS-DANN.
- To demonstrate the framework's ability to handle inter-instrument spectral variations for robust coal quality analysis.
Main Methods:
- A two-stage transfer learning framework integrating Piecewise Direct Standardization (PDS) with Feature Fine-tuning (FT) was developed.
- Five approaches were evaluated: PDS, FT, Domain-Adversarial Neural Network (DANN), PDS-DANN, and the proposed PDS-FT.
- The study utilized 140 coal samples measured on two distinct XRF instruments.
Main Results:
- Standalone PDS and FT showed limited performance (R²=0.33, R²=0.51).
- DANN improved prediction (R²=0.74) but faced training instability.
- The proposed PDS-FT framework achieved the highest performance (R²=0.95, RMSE=0.59%), demonstrating superior accuracy and generalization.
Conclusions:
- The PDS-FT framework combines spectral-level physical correction with feature-level model adaptation for hierarchical domain alignment.
- This dual-stage strategy effectively mitigates inter-instrument discrepancies, enhancing model transferability and reliability.
- PDS-FT offers a practical and generalizable solution for coal quality analysis across diverse XRF instruments in industrial settings.
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