Before revision:  We assume that all real entities are embedded in the same space, which means they have the same dimension. We model the lack of information for a given object as  affine subspace in R^d with dimension k . Our goal in this paper is to find clusters of objects .
After revision:  We model the lack of information for a given object as affine subspace in R^d with dimension k . Our goal in this paper is to find clusters of objects .