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arXiv 提交日期: 2026-02-09
📄 Abstract - The Connection between Kriging and Large Neural Networks

AI has impacted many disciplines and is nowadays ubiquitous. In particular, spatial statistics is in a pivotal moment where it will increasingly intertwine with AI. In this scenario, a relevant question is what relationship spatial statistics models have with machine learning (ML) models, if any. In particular, in this paper, we explore the connections between Kriging and neural networks. At first glance, they may appear unrelated. Kriging - and its ML counterpart, Gaussian process regression - are grounded in probability theory and stochastic processes, whereas many ML models are extensively considered Black-Box models. Nevertheless, they are strongly related. We study their connections and revisit the relevant literature. The understanding of their relations and the combination of both perspectives may enhance ML techniques by making them more interpretable, reliable, and spatially aware.

顶级标签: machine learning theory model training
详细标签: kriging gaussian processes neural networks spatial statistics interpretability 或 搜索:

克里金法与大型神经网络之间的联系 / The Connection between Kriging and Large Neural Networks


1️⃣ 一句话总结

这篇论文探讨了空间统计学中的克里金法(及其对应的机器学习方法高斯过程回归)与大型神经网络之间看似不同实则紧密的联系,并指出理解这种关系有助于提升机器学习模型的可解释性、可靠性和空间感知能力。

源自 arXiv: 2602.08427