Röger, MatthiasSchweizer, Ben2021-03-262021-03-262020-06-24http://hdl.handle.net/2003/40115http://dx.doi.org/10.17877/DE290R-21992We 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.enText