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A novel interval prediction method with adaptive calibration for ship energy consumption prediction
Zhihui Hu1, Jiale Li1, Tianrui Zhou2
1Navigation College, Jimei University, Xiamen, 361021, China.
Scientific Reports
|June 14, 2026
Summary
This study introduces GrACE, a new method for predicting ship energy consumption (SEC) with uncertainty quantification. GrACE provides more reliable interval predictions, improving energy efficiency management in complex maritime operations.
Area of Science:
- Maritime Engineering
- Data Science
- Energy Management
Background:
- Accurate Ship Energy Consumption (SEC) prediction is crucial for operational efficiency and abnormality detection.
- Existing methods often provide deterministic SEC values, failing to capture uncertainties in complex maritime environments.
Purpose of the Study:
- To develop a novel interval prediction method for SEC that quantifies uncertainty.
- To improve energy efficiency management and abnormality detection in maritime operations.
Main Methods:
- Proposed Gradient-resolved Adaptive Calibration for Energy consumption (GrACE) method.
- Formulated SEC interval prediction as a multi-objective learning problem (interval quality and width).
- Implemented adaptive calibration for aggregated prediction intervals and validated on five neural networks.
Main Results:
- GrACE consistently achieved superior interval quality across validated neural networks.
- Achieved a Prediction Interval Coverage Probability of 0.8976 at the 90% confidence level using a Convolutional Neural Network.
- Reduced Mean Prediction Interval Width (MPIW) by 56.55% compared to the classical LUBE method.
Conclusions:
- GrACE effectively provides reliable uncertainty quantification for SEC.
- The method offers valuable insights for energy efficiency and abnormality detection in complex operating conditions.
- GrACE enhances the reliability of SEC predictions by incorporating uncertainty.
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