Röger, MatthiasSchweizer, Ben2019-08-022019-08-022019-07-11http://hdl.handle.net/2003/3815910.17877/DE290R-20138We 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.enPreprint;2019-06610preprint