用神经网络检测干旱区植被相变预警信号,发现模型泛化能力受数据来源影响大
Neural models for prediction of spatially patterned phase transitions: methods and challenges
- 用深度神经网络分析植被空间模式下的临界相变预警信号
- 训练与测试数据来源不同时,模型性能大幅下降
- 可帮助区分突变与渐变相变,适用于生态临界点预测
干旱区植被生态系统在外部扰动下易发生稳定状态间的临界转变。这类转变常通过分支理论框架讨论,但干旱区特有的空间植被格局使动态行为远比局部分支复杂。近期早期预警信号(EWS)检测的方法进展显示,深度神经网络在识别临界转变的动态特征方面具有强预测能力。然而,仅在合成数据上训练的机器学习模型若无法有效迁移到实际场景,则意义有限。已有研究证明模型在分支转变中具备泛化能力,但在高维相变情形下尚不明确。本文探讨了神经网络在空间模式相变中的预警检测成效与局限性,揭示了预警信息如何编码于时空动力学中。通过若干典型系统验证了多种统计指标的性能,并关注了区分突变与连续转变的辅助任务。结果表明,当训练与测试数据来源互换时,模型性能常出现剧烈波动,为模型泛化条件提供了新见解。
原文摘要 · Abstract (English)
Dryland vegetation ecosystems are known to be susceptible to critical transitions between alternative stable states when subjected to external forcing. Such transitions are often discussed through the framework of bifurcation theory, but the spatial patterning of vegetation, which is characteristic of drylands, leads to dynamics that are much more complex and diverse than local bifurcations. Recent methodological developments in Early Warning Signal (EWS) detection have shown promise in identifying dynamical signatures of oncoming critical transitions, with particularly strong predictive capabilities being demonstrated by deep neural networks. However, a machine learning model trained on synthetic examples is only useful if it can effectively transfer to a test case of practical interest. These models' capacity to generalize in this manner has been demonstrated for bifurcation transitions, but it is not as well characterized for high-dimensional phase transitions. This paper explores the successes and shortcomings of neural EWS detection for spatially patterned phase transitions, and shows how these models can be used to gain insight into where and how EWS-relevant information is encoded in spatiotemporal dynamics. A few paradigmatic test systems are used to illustrate how the capabilities of such models can be probed in a number of ways, with particular attention to the performances of a number of proposed statistical indicators for EWS and to the supplementary task of distinguishing between abrupt and continuous transitions. Results reveal that model performance often changes dramatically when training and test data sources are interchanged, which offers new insight into the criteria for model generalization.
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