用可微分神经网络融合物理规律,实现高效精准的海洋模拟。
NeuralOGCM: Differentiable Ocean Modeling with Learnable Physics
- 将物理方程作为核心先验,关键参数可学习以自适应优化。
- 相比传统数值模型速度提升30倍以上,精度超越纯AI方法。
- 适合气候建模、海洋预测等需兼顾速度与物理一致性的研究者。
高精度科学模拟长期面临计算效率与物理保真度之间的权衡。为解决此问题,我们提出NeuralOGCM,一种融合可微分编程与深度学习的海洋建模框架。其核心是一个全可微分的动力学求解器,以物理知识作为主要归纳偏置。通过将关键物理参数(如扩散系数)设为可学习参数,模型可端到端训练中自主优化其物理内核。同时,深度神经网络学习修正亚网格过程和离散化误差。两者协同工作,由统一的常微分方程求解器整合输出。实验表明,NeuralOGCM在长时间运行中保持稳定与物理一致性,相比传统数值模型速度提升30倍以上,精度显著优于纯人工智能基线。本工作为构建快速、稳定且物理合理的新一代科学计算模型开辟了新路径。
原文摘要 · Abstract (English)
High-precision scientific simulation faces a long-standing trade-off between computational efficiency and physical fidelity. To address this challenge, we propose NeuralOGCM, an ocean modeling framework that fuses differentiable programming with deep learning. At the core of NeuralOGCM is a fully differentiable dynamical solver, which leverages physics knowledge as its core inductive bias. The learnable physics integration captures large-scale, deterministic physical evolution, and transforms key physical parameters (e.g., diffusion coefficients) into learnable parameters, enabling the model to autonomously optimize its physical core via end-to-end training. Concurrently, a deep neural network learns to correct for subgrid-scale processes and discretization errors not captured by the physics model. Both components work in synergy, with their outputs integrated by a unified ODE solver. Experiments demonstrate that NeuralOGCM maintains long-term stability and physical consistency, significantly outperforming traditional numerical models in speed and pure AI baselines in accuracy. Our work paves a new path for building fast, stable, and physically-plausible models for scientific computing.
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