Reliability of machine learning methods for prediction of critical heat flux: an OECD/NEA benchmark study

Abstract Critical heat flux (CHF) prediction is a primary thermal-hydraulic requirement for water-cooled reactors. Machine-learning studies on the OECD/NEA Phase-1 benchmark report high in-distribution accuracy, but reliability under distribution shift is poorly characterised. Four model families (random forest, XGBoost, multi-layer perceptron, Bayesian neural network) are evaluated under three protocols: random in-distribution testing (S1), cross-source validation on 10 unseen facilities (S2), and extrapolation above 16 MPa (S3). Reliability is assessed through accuracy, conformal coverage and seed reproducibility. XGBoost leads in distribution ( R 2 = 0.986 ± 0.001; relative RMSE 13.1 ± 0.9 %) but falls to 0.905 ± 0.044 on S2 and 0.648 ± 0.009 on S3. Conformal intervals calibrated at a nominal 90 % level fall to 71 % under cross-source validation and 63 % under high-pressure extrapolation, deficits of 19 and 27 % points that weighted conformal prediction does not recover. Neural networks show pronounced seed sensitivity: the standard deviation of MLP R 2 rises from 0.0014 to 0.196 between S1 and S3 ( F -test p < 10 −6 ), while tree-based methods remain at or below 0.009. Five-seed ensembling reduces this spread by close to an order of magnitude but restores no coverage, physics-aware features leave extrapolation accuracy unchanged while doubling seed variance, and anchoring the model on the Bowring correlation degrades extrapolation sharply (Δ R 2 = −0.336) because this hybrid inherits the validity limits of that correlation, which qualifies the in-distribution gains reported for physics-anchored ensembles. Random-split benchmark accuracy therefore overstates deployment reliability for CHF-ML systems. All splits, models and scripts are released openly.

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Publication Details

Journal
Kerntechnik
Published
2026-10-07
DOI
https://doi.org/10.1515/kern-2026-0078
Primary Topic
Heat Transfer and Boiling Studies
Type
article
Field-Weighted Citation Impact
0.00
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article

Reliability of machine learning methods for prediction of critical heat flux: an OECD/NEA benchmark study

Mohammad Malik Abood, Fouad A. Majeed, Ahmed Dheyaa Radhi, Hussein Ali Hussein Al Naffakh et al.
Kerntechnik
Heat Transfer and Boiling Studies
article

Reliability of machine learning methods for prediction of critical heat flux: an OECD/NEA benchmark study

Mohammad Malik Abood, Fouad A. Majeed, Ahmed Dheyaa Radhi, Hussein Ali Hussein Al Naffakh, Ayaat Maan Khalf, Rozaida Ghazali
article en

Abstract

Abstract Critical heat flux (CHF) prediction is a primary thermal-hydraulic requirement for water-cooled reactors. Machine-learning studies on the OECD/NEA Phase-1 benchmark report high in-distribution accuracy, but reliability under distribution shift is poorly characterised. Four model families (random forest, XGBoost, multi-layer perceptron, Bayesian neural network) are evaluated under three protocols: random in-distribution testing (S1), cross-source validation on 10 unseen facilities (S2), and extrapolation above 16 MPa (S3). Reliability is assessed through accuracy, conformal coverage and seed reproducibility. XGBoost leads in distribution ( R 2 = 0.986 ± 0.001; relative RMSE 13.1 ± 0.9 %) but falls to 0.905 ± 0.044 on S2 and 0.648 ± 0.009 on S3. Conformal intervals calibrated at a nominal 90 % level fall to 71 % under cross-source validation and 63 % under high-pressure extrapolation, deficits of 19 and 27 % points that weighted conformal prediction does not recover. Neural networks show pronounced seed sensitivity: the standard deviation of MLP R 2 rises from 0.0014 to 0.196 between S1 and S3 ( F -test p < 10 −6 ), while tree-based methods remain at or below 0.009. Five-seed ensembling reduces this spread by close to an order of magnitude but restores no coverage, physics-aware features leave extrapolation accuracy unchanged while doubling seed variance, and anchoring the model on the Bowring correlation degrades extrapolation sharply (Δ R 2 = −0.336) because this hybrid inherits the validity limits of that correlation, which qualifies the in-distribution gains reported for physics-anchored ensembles. Random-split benchmark accuracy therefore overstates deployment reliability for CHF-ML systems. All splits, models and scripts are released openly.

Kerntechnik
University of Babylon (IQ), University of Alkafeel (IQ), University of Kerbala (IQ), Tun Hussein Onn University of Malaysia (MY)
Openalex Percentile: Top 47%
Heat Transfer and Boiling Studies
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