We study a scalar elliptic problem in the data driven context. Our interest is to study the relaxation of a data set that consists of the union of a linear relation and single outlier. The data driven relaxation is given by the union of the linear relation and a truncated cone that connects the outlier with the linear subspace.

中文翻译：

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具有单个异常的数据驱动问题中的松弛分析

我们在数据驱动的上下文中研究标量椭圆问题。我们的兴趣是研究由线性关系和单个异常值的并集组成的数据集的松弛度。数据驱动的松弛由线性关系和将异常值与线性子空间连接的截头圆锥体的并集给出。