arXiv:2605.17091cs.LG2026-05

通过提取局部机制规律,实现复杂系统在数据稀缺下的稳定预测。

Mechanism Learning: Prototype-Anchored Mechanism Inference for Scientific Forecasting

论文配图:Mechanism Learning: Prototype-Anchored Mechanism Inference for Scientific Forecasting
图 1 · 摘自论文原文
  • 用原型锚点构建可复用的局部机制空间,替代直接状态预测。
  • 在数据少、动态变化等困难场景下,预测准确率显著优于现有方法。
  • 适合研究气象、流体等高维非平稳系统的科研人员参考。

科学预测通常依赖于直接的状态预测,但在数据稀缺、长时程预测、非平稳动态或高维复杂性条件下,该方法容易失效。虽然原始状态轨迹在此类情况下高度敏感,但底层局部演化规则往往具有强鲁棒性和可复用性。本文提出机制学习框架,通过估计当前活跃的局部机制来预测未来状态。该方法将局部时空片段压缩为机制描述符,构建一个数据驱动且结构化的机制空间,其中距离反映局部演化规则的相似性。为确保估计与观测数据一致,引入一组稀疏覆盖局部规则空间的原型锚点。在Burgers动力学、WeatherBench2和Lorenz96上评估表明,所学机制空间不易坍缩且保持强局部一致性。相比直接预测及其他模型(如FNO、NODE、LSTM和水库系方法),该框架在脆弱场景下表现更优:在Burgers中显著提升切换稳定性,在数据稀缺的固定时程WeatherBench2协议下达到当前最优性能,在中等复杂度的Lorenz96中亦表现优异。消融实验与漂移诊断证实,性能提升源于有限原型锚定而非单纯隐空间容量。结果表明,机制学习是复杂系统预测中对直接状态预测的可靠替代方案。

原文摘要 · Abstract (English)

Scientific forecasting typically relies on direct state prediction, an approach that grows brittle under data scarcity, extended horizons, non-stationary dynamics, or high-dimensional complexity. While raw state trajectories are highly sensitive in these regimes, underlying local evolution rules often exhibit robust reusability. We introduce mechanism learning, a framework that forecasts future states by estimating the currently active local mechanism. Our method compresses local spatiotemporal fragments into mechanism descriptors, forming a data-driven, structured mechanism space where proximity reflects similar local evolution rules. To ground these estimates in observed data, we utilize prototype anchors, a set of representative mechanisms that sparsely cover the space of local rules. We evaluate this approach on Burgers dynamics, WeatherBench2, and Lorenz96. Empirically, the learned mechanism spaces resist collapse and maintain strong local consistency. Compared to direct prediction and other models including FNO, NODE, LSTM, and reservoir-family methods, our framework demonstrates predictive gains in fragile regimes: it significantly improves switching stability in Burgers dynamics and achieves state-of-the-art performance both under the scarce-data fixed-horizon WeatherBench2 protocol and in intermediate-complexity Lorenz96. Ablation studies and drift diagnostics confirm that these improvements are driven by finite prototype anchoring rather than sheer latent capacity. Together, these results establish mechanism learning as a principled, robust alternative to direct state prediction in forecasting complex systems.

科学预测机制学习复杂系统原型锚点

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