arXiv:2505.06690cs.LG2025-05

用因果与频域感知模型,精准预测浮动防波堤后波浪高度。

A Causality- and Frequency-Aware Deep Learning Framework for Wave Elevation Prediction Behind Floating Breakwaters

  • 通过双基频域映射提取波浪信号的动态频谱特征。
  • 引入单向因果注意力机制,建模防波堤运动对波高的影响。
  • 在多种波况和水密度下均表现更优,适合海洋工程设计应用。

预测浮动防波堤后非线性波浪场的波面高程对于优化海岸工程结构、提升安全性与设计效率至关重要。现有深度学习方法在未见工况下的泛化能力有限。为此,本文提出端到端的外生-内生频域感知网络(E2E-FANet),用于建模波浪与结构间的关系。首先,双基频域映射(DBFM)模块利用正交余弦与正弦基,生成自适应时频表示,有效解耦波浪信号的演化频谱成分。其次,外生-内生交叉注意力(E2ECA)模块通过交叉注意力显式建模防波堤运动对波高的单向因果影响。此外,引入时序注意力(TA)机制,自适应捕捉内生变量间的复杂依赖关系。大量实验,包括跨不同波况的泛化测试及在可变相对水密度(RW)条件下的适应性测试,表明E2E-FANet在预测精度和鲁棒泛化性方面优于主流模型。本工作强调在深度学习架构中融合因果性和频域感知对建模非线性动力系统的重要性。

原文摘要 · Abstract (English)

Predicting the elevations of nonlinear wave fields behind floating breakwaters (FBs) is crucial for optimizing coastal engineering structures, enhancing safety, and improving design efficiency. Existing deep learning approaches exhibit limited generalization capability under unseen operating conditions. To address this challenge, this study proposes the Exogenous-to-Endogenous Frequency-Aware Network (E2E-FANet), a novel end-to-end neural network designed to model relationships between waves and structures. First, the Dual-Basis Frequency Mapping (DBFM) module leverages orthogonal cosine and sine bases to generate an adaptive time-frequency representation, enabling the model to effectively disentangle the evolving spectral components of wave signals. Second, the Exogenous-to-Endogenous Cross-Attention (E2ECA) module employs cross attention to explicitly model the unidirectional causal influence of floating breakwater motion on wave elevations. Additionally, a Temporal-wise Attention (TA) mechanism is incorporated that adaptively captures complex dependencies in endogenous variables. Extensive experiments, including generalization tests across diverse wave conditions and adaptability tests under varying relative water density (RW) conditions, demonstrate that E2E-FANet achieves superior predictive accuracy and robust generalization compared to mainstream models. This work emphasizes the importance of integrating causality and frequency-aware modeling in deep learning architectures for modeling nonlinear dynamics systems.

波浪预测因果建模频域感知深度学习

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