Calibrating Prediction Timeliness Through Multi-Objective Hyperparameter Optimization for Remaining Useful Life Prediction

📅 2026-10-01
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🤖 AI Summary
This study addresses the asymmetric cost of early versus late errors in remaining useful life (RUL) prediction for predictive maintenance, where conventional single-objective optimization struggles to balance directional bias. We propose a multi-objective hyperparameter optimization framework that treats the optimization objective itself as a design variable, jointly optimizing R² and the NASA scoring function. The NSGA-II algorithm is combined with an entropy weight–CRITIC method to resolve conflicting objectives, and the approach is systematically evaluated across five architectures: MLP, LSTM, XGBoost, TCN, and Transformer. Experiments on the C-MAPSS dataset demonstrate that the proposed method reduces directional imbalance by 33%. Furthermore, the results reveal that model rankings are highly sensitive to hyperparameter configurations and quantify cross-domain generalization gaps, offering practical insights for reliable RUL estimation.
📝 Abstract
In predictive maintenance, early and late RUL prediction errors carry asymmetric consequences, yet hyperparameter optimization typically targets a single accuracy metric that treats both directions equally. This study treats the optimization objective itself as a design variable. Five architectures (MLP, LSTM, XGBoost, TCN, and Transformer) are evaluated under three regimes: single-objective maximization of $R^2$, single-objective minimization of the NASA scoring function, and a multi-objective formulation that jointly optimizes both criteria. The multi-objective search employs NSGA-II with Entropy-CRITIC weighting for Pareto selection. Seventy-five model-dataset-strategy combinations are assessed on the NASA C-MAPSS turbofan and BackBlaze hard-disk drive benchmarks. On C-MAPSS, all strategies achieve comparable accuracy ($R^2 \approx 0.89$), yet multi-objective optimization reduces directional imbalance by approximately 33%, improving calibration of early versus late predictions. Model rankings prove configuration-dependent, with simpler architectures frequently outperforming deeper temporal models. On BackBlaze, the objectives shift from complementary to conflicting, producing divergent Entropy-CRITIC weights and a substantial generalization gap (best $R^2 \approx 0.34$). These results demonstrate that the optimization objective materially shapes prognostic behavior and that multi-objective search provides a practical mechanism for calibrating prediction timeliness in RUL modeling.
Problem

Research questions and friction points this paper is trying to address.

Remaining Useful Life Prediction
Predictive Maintenance
Hyperparameter Optimization
Prediction Timeliness
Multi-Objective Optimization
Innovation

Methods, ideas, or system contributions that make the work stand out.

Multi-Objective Hyperparameter Optimization
Remaining Useful Life Prediction
NSGA-II
Entropy-CRITIC Weighting
Prediction Timeliness Calibration
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Tuğrul Cabir Hakyemez
Department of Management Information Systems, Istanbul Bilgi University, Istanbul, Turkey
E
Ener Uras Gökhan
Beştepe Koleji, Ankara, Turkey