论文标题

地球系统建模的可区分编程

Differentiable Programming for Earth System Modeling

论文作者

Gelbrecht, Maximilian, White, Alistair, Bathiany, Sebastian, Boers, Niklas

论文摘要

地球系统模型(ESM)是数十年到几个世纪以时间尺度上调查未来地球系统状态的主要工具,尤其是在响应人为的温室气体释放时。最先进的ESM可以重现过去150年的观测全球平均温度异常。然而,ESM需要进一步的改进,最重要的是(i)在其气候敏感性的估计中,即对大气温室气体升高的温度响应,((ii)的温度响应,(ii)关键变量的建模空间模式,例如温度和降水等关键变量,例如极端天气事件的代表,以及(iv)其代表性的代表性和无关的代表性的组合和能力的代表性和构图。在这里,我们认为,使ESMS自动可区分具有巨大的ESM潜力,尤其是在这些主要缺点方面。首先,自动差异性将允许对ESM的客观校准,即,对于大量自由参数的成本函数,选择最佳值,目前主要是手动调整的。其次,机器学习的最新进展(ML)以及观察数据的数量,准确性和解决方案有望与上述至少某些方面有所帮助,因为ML可用于将观察值的其他信息纳入ESMS。自动不同性是在构建此类混合模型的基本要素,将基于过程的ESM与ML组件相结合。我们记录了最新的工作,展示了自动差异化的潜力,以实质上改进的,数据知识的ESM。

Earth System Models (ESMs) are the primary tools for investigating future Earth system states at time scales from decades to centuries, especially in response to anthropogenic greenhouse gas release. State-of-the-art ESMs can reproduce the observational global mean temperature anomalies of the last 150 years. Nevertheless, ESMs need further improvements, most importantly regarding (i) the large spread in their estimates of climate sensitivity, i.e., the temperature response to increases in atmospheric greenhouse gases, (ii) the modeled spatial patterns of key variables such as temperature and precipitation, (iii) their representation of extreme weather events, and (iv) their representation of multistable Earth system components and their ability to predict associated abrupt transitions. Here, we argue that making ESMs automatically differentiable has huge potential to advance ESMs, especially with respect to these key shortcomings. First, automatic differentiability would allow objective calibration of ESMs, i.e., the selection of optimal values with respect to a cost function for a large number of free parameters, which are currently tuned mostly manually. Second, recent advances in Machine Learning (ML) and in the amount, accuracy, and resolution of observational data promise to be helpful with at least some of the above aspects because ML may be used to incorporate additional information from observations into ESMs. Automatic differentiability is an essential ingredient in the construction of such hybrid models, combining process-based ESMs with ML components. We document recent work showcasing the potential of automatic differentiation for a new generation of substantially improved, data-informed ESMs.

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