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Uncertainty-Aware Machine Learning for Small-Angle X‑ray Scattering Analysis in Autonomous Experimentation
Chuntian Cao1, Hyeong Jin Kim2, Matthew R Carbone1
1Computing and Data Sciences Directorate, Brookhaven National Laboratory, Upton, New York 11973, United States.
Photon Science
|July 25, 2026
Summary
We developed a machine-learning method for automated small-angle X-ray scattering (SAXS) analysis. This approach enhances autonomous nanoparticle synthesis by providing fast, reliable, and uncertainty-aware structural parameter extraction.
Area of Science:
- Materials Science
- Nanotechnology
- Data Science
Background:
- Small-angle X-ray scattering (SAXS) offers real-time nanoscale structural insights during synthesis.
- Automated SAXS data analysis is crucial for autonomous materials discovery but remains challenging.
- Current methods lack the speed and reliability needed for closed-loop experimentation.
Purpose of the Study:
- To develop a machine-learning approach for automated SAXS data analysis.
- To enable fast, reliable, and uncertainty-aware parameter extraction for closed-loop nanoparticle synthesis.
- To improve the efficiency of autonomous nanomaterials discovery workflows.
Main Methods:
- A Random Forest (RF) regression model was trained on synthetic SAXS data.
- The model predicts nanoparticle radius, polydispersity, and background parameters directly from intensity profiles.
- Uncertainty quantification (UQ) was integrated using ensemble standard deviation.
Main Results:
- The RF model accurately predicts structural parameters on synthetic data.
- Combining fit-quality metrics with UQ thresholds reliably identifies accurate estimates.
- Experimental SAXS data from gold nanoparticle synthesis was classified using UQ.
- RF-based analysis in a closed-loop campaign showed faster convergence than conventional fitting.
Conclusions:
- Machine-learning-driven SAXS analysis significantly enhances autonomous nanomaterials synthesis.
- Uncertainty-aware analysis improves the efficiency and robustness of closed-loop workflows.
- This approach accelerates the discovery and optimization of nanomaterials.
Keywords:
Autonomous ExperimentationBayesian OptimizationClosed-Loop OptimizationMachine LearningRandom Forest RegressionSmall-Angle X-ray Scattering (SAXS)Uncertainty Quantification (UQ)
