提出新方法揭示极端事件机制,实现精准预测与可控抑制。
Uncovering Extreme Event Mechanisms for Prediction and Control with Sensitivity-Balanced Projections

- 用反向传播替代繁琐伴随计算,高效获取敏感性投影。
- 在湍流能量突增、神经元同步和海浪巨浪中准确预测极端事件。
- 适用于实验系统与非可微编程环境,适合控制与预报场景。
极端事件(如地震、日冕物质抛射)常见于许多混沌动力系统,但因其细微的不稳定性机制而难以表征和预测。本文提出一种可解释技术,揭示极端事件背后的驱动机制,并用于构建数据驱动的预测模型与直观的事件抑制控制器。核心方法为基于伴随快照的协方差平衡降维(CoBRAS),通过现代自动微分数值框架实现反向传播,避免了复杂的伴随计算。为处理空间局部化事件,进一步提出新型局部CoBRAS。在多个挑战性系统中验证:二维柯尔莫哥洛夫流中的能量耗散突增、耦合FitzHugh-Nagumo振子网络的自发同步,以及由修正非线性薛定谔方程模拟的海洋狂浪形成。结果表明,该方法能准确预测极端事件,且其机制可用于设计控制策略以防止事件发生。最后,通过直接从数据学习神经网络代理模型,将该方法扩展至实验系统及非原生可微编程语言系统。
原文摘要 · Abstract (English)
Extreme events -- such as earthquakes and coronal mass ejections -- are common in many chaotic dynamical systems, yet are difficult to characterize and predict due to the subtle instability mechanisms that drive them. In this work, we develop an interpretable technique that reveals the underlying mechanisms behind extreme events and uses them to build data-driven forecasts and intuitive event suppression controllers. In particular, we utilize the covariance balancing reduction using adjoint snapshots (CoBRAS) method to identify linear oblique projections that best capture the sensitivity of a quantity of interest and reconstruct the original state. Importantly, we bypass the need for cumbersome adjoint calculations, instead using backpropagation via modern automatically differentiable numerical frameworks. To accommodate spatially localized events, we also introduce a new variant of CoBRAS to obtain local sensitivity-balanced projections. We demonstrate the utility of this approach to characterize extreme events across a diverse set of challenging systems, including turbulent bursts of energy dissipation in the 2D Kolmogorov Flow, spontaneous synchronization in networks of coupled FitzHugh-Nagumo oscillators, and the localized formation of ocean rogue waves from a modified nonlinear Schrödinger equation. For each example, we show that our simple forecast models accurately predict extreme events and that the underlying mechanisms may be used to design control laws to prevent these events. Finally, we demonstrate that by learning a neural network surrogate model of the dynamics directly from data, we may extend this approach to experimental systems and systems that are not natively written in an automatically differentiable programming language.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。