论文标题
具有非折叠B型变形的非组织协方差函数的可扩展建模
Scalable modeling of nonstationary covariance functions with non-folding B-spline deformation
论文作者
论文摘要
我们根据Sampson和Guttorp [1992]的空间变形方法提出了一种非组织协方差函数建模的方法，但使用低级别的可扩展变形函数写成B-Spline基础的张量产物的线性组合。这种方法解决了当前计算方面的两个重要弱点。首先，它允许限制估计的2D变形在2D中不折叠（bioxtive）。到目前为止，该模型的这一要求仅通过任意水平的空间平滑来解决。其次，具有紧凑型支持的基础功能使应用程序可以应用于环境数据的空间监视位点的大型数据集。巴西东南部降雨数据的应用说明了该方法
We propose a method for nonstationary covariance function modeling, based on the spatial deformation method of Sampson and Guttorp [1992], but using a low-rank, scalable deformation function written as a linear combination of the tensor product of B-spline basis. This approach addresses two important weaknesses in current computational aspects. First, it allows one to constrain estimated 2D deformations to be non-folding (bijective) in 2D. This requirement of the model has, up to now,been addressed only by arbitrary levels of spatial smoothing. Second, basis functions with compact support enable the application to large datasets of spatial monitoring sites of environmental data. An application to rainfall data in southeastern Brazil illustrates the method
