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Probabilistic Prediction of Ship Maneuvering Motion using Ensemble Learning with Feedforward Neural Networks

Kouki Wakita, Youhei Akimoto, Atsuo Maki

TL;DR

The paper tackles the problem of safely and accurately predicting ship maneuvering motions for harbor maneuvers where data-driven non-parametric SI can be unreliable due to data distribution issues. It introduces an ensemble-learning framework using feedforward neural networks to learn maneuvering dynamics and to quantify epistemic uncertainty via trajectory sampling, including an ANN-based initial-state estimator and two trajectory-sampling schemes. The approach is validated on model-scale simulations and full-scale navigation data, demonstrating improved fitting when data distributions align with training conditions and revealing higher uncertainty where distributions diverge; using worst-case ensemble predictions helps mitigate overestimation in PD-control evaluations. Practically, this work provides a probabilistic simulator that supports robust evaluation and design of maneuvering systems for MASS, with potential to inform safer and more reliable harbor operations.

Abstract

In the field of Maritime Autonomous Surface Ships (MASS), the accurate modeling of ship maneuvering motion for harbor maneuvers is a crucial technology. Non-parametric system identification (SI) methods, which do not require prior knowledge of the target ship, have the potential to produce accurate maneuvering models using observed data. However, the modeling accuracy significantly depends on the distribution of the available data. To address these issues, we propose a probabilistic prediction method of maneuvering motion that incorporates ensemble learning into a non-parametric SI using feedforward neural networks. This approach captures the epistemic uncertainty caused by insufficient or unevenly distributed data. In this paper, we show the prediction accuracy and uncertainty prediction results for various unknown scenarios, including port navigation, zigzag, turning, and random control maneuvers, assuming that only port navigation data is available. Furthermore, this paper demonstrates the utility of the proposed method as a maneuvering simulator for assessing heading-keeping PD control. As a result, it was confirmed that the proposed method can achieve high accuracy if training data with similar state distributions is provided, and that it can also predict high uncertainty for states that deviate from the training data distribution. In the performance evaluation of PD control, it was confirmed that considering worst-case scenarios reduces the possibility of overestimating performance compared to the true system. Finally, we show the results of applying the proposed method to full-scale ship data, demonstrating its applicability to full-scale ships.

Probabilistic Prediction of Ship Maneuvering Motion using Ensemble Learning with Feedforward Neural Networks

TL;DR

The paper tackles the problem of safely and accurately predicting ship maneuvering motions for harbor maneuvers where data-driven non-parametric SI can be unreliable due to data distribution issues. It introduces an ensemble-learning framework using feedforward neural networks to learn maneuvering dynamics and to quantify epistemic uncertainty via trajectory sampling, including an ANN-based initial-state estimator and two trajectory-sampling schemes. The approach is validated on model-scale simulations and full-scale navigation data, demonstrating improved fitting when data distributions align with training conditions and revealing higher uncertainty where distributions diverge; using worst-case ensemble predictions helps mitigate overestimation in PD-control evaluations. Practically, this work provides a probabilistic simulator that supports robust evaluation and design of maneuvering systems for MASS, with potential to inform safer and more reliable harbor operations.

Abstract

In the field of Maritime Autonomous Surface Ships (MASS), the accurate modeling of ship maneuvering motion for harbor maneuvers is a crucial technology. Non-parametric system identification (SI) methods, which do not require prior knowledge of the target ship, have the potential to produce accurate maneuvering models using observed data. However, the modeling accuracy significantly depends on the distribution of the available data. To address these issues, we propose a probabilistic prediction method of maneuvering motion that incorporates ensemble learning into a non-parametric SI using feedforward neural networks. This approach captures the epistemic uncertainty caused by insufficient or unevenly distributed data. In this paper, we show the prediction accuracy and uncertainty prediction results for various unknown scenarios, including port navigation, zigzag, turning, and random control maneuvers, assuming that only port navigation data is available. Furthermore, this paper demonstrates the utility of the proposed method as a maneuvering simulator for assessing heading-keeping PD control. As a result, it was confirmed that the proposed method can achieve high accuracy if training data with similar state distributions is provided, and that it can also predict high uncertainty for states that deviate from the training data distribution. In the performance evaluation of PD control, it was confirmed that considering worst-case scenarios reduces the possibility of overestimating performance compared to the true system. Finally, we show the results of applying the proposed method to full-scale ship data, demonstrating its applicability to full-scale ships.

Paper Structure

This paper contains 30 sections, 37 equations, 32 figures, 6 tables.

Figures (32)

  • Figure 1: A subject model ship.
  • Figure 2: Coordinate systems.
  • Figure 3: Distribution of ship velocity and actuator state of datasets.
  • Figure 4: Comparison results of using or not using initial value estimation in fitting accuracy. $\mathcal{L}_{\text{fit}}\left(\mathcal{D}_{\text{Train-B}}\right)$ is a measure of fitting accuracy.
  • Figure 5: Mean squared Euclidean distance between the mean value of the predicted particles and the true value.
  • ...and 27 more figures