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arXiv 2512.06348stat.MLcs.LGstat.ME

通过条件变分自编码器建模时空极值

Modeling Spatio-temporal Extremes via Conditional Variational Autoencoders

Xiaoyu Ma, Likun Zhang, Christopher K. Wikle

AI总结:

本文提出一种基于条件变分自编码器的模型,用于建模时空极值,并通过实验展示其在现实场景中的应用价值。

摘要:

极端天气事件在农业、生态学和气象学等领域被广泛研究。时空极值的共现可以随着气候条件的变化而增强或减弱。在本文中,我们提出了一种新的方法,通过条件变分自编码器(cXVAE)整合气候指数来建模时空极值。在解码器中嵌入了一个卷积神经网络(CNN),将气候指数与潜在空间中的空间依赖性进行卷积,从而使得解码器能够依赖于气候变量。本文有三个主要贡献。首先,通过广泛的模拟表明,所提出的条件XVAE能够准确模拟空间场,并以极低的计算成本恢复随时间和空间变化的极值依赖性。其次,我们提供了一种简单且可扩展的方法,用于检测条件驱动的转变以及依赖结构是否对条件变量不变。第三,当发现依赖性对条件敏感时,条件XVAE支持反事实实验,允许对气候协变量进行干预,并通过学习的解码器传播相关的变化,以量化联合尾部风险、共现范围和返回指标的差异。为了展示该模型在现实场景中的实用性和性能,我们将我们的方法应用于分析2014年至2024年间澳大利亚东部每月最大火灾天气指数(FWI),并基于厄尔尼诺/南方振荡(ENSO)指数进行条件分析。

英文摘要:

Extreme weather events are widely studied in fields such as agriculture, ecology, and meteorology. The spatio-temporal co-occurrence of extreme events can strengthen or weaken under changing climate conditions. In this paper, we propose a novel approach to model spatio-temporal extremes by integrating climate indices via a conditional variational autoencoder (cXVAE). A convolutional neural network (CNN) is embedded in the decoder to convolve climatological indices with the spatial dependence within the latent space, thereby allowing the decoder to be dependent on the climate variables. There are three main contributions here. First, we demonstrate through extensive simulations that the proposed conditional XVAE accurately emulates spatial fields and recovers spatially and temporally varying extremal dependence with very low computational cost post training. Second, we provide a simple, scalable approach to detecting condition-driven shifts and whether the dependence structure is invariant to the conditioning variable. Third, when dependence is found to be condition-sensitive, the conditional XVAE supports counterfactual experiments allowing intervention on the climate covariate and propagating the associated change through the learned decoder to quantify differences in joint tail risk, co-occurrence ranges, and return metrics. To demonstrate the practical utility and performance of the model in real-world scenarios, we apply our method to analyze the monthly maximum Fire Weather Index (FWI) over eastern Australia from 2014 to 2024 conditioned on the El Niño/Southern Oscillation (ENSO) index.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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