International Business Machines Corporation

Christos Boutsidis

Michail Vlachos

David Paul Woodruff

Abderrahim Labbi

One embodiments is a computer-implemented method for finding a CUR decomposition. The method includes constructing, by a computer processor, a matrix C based on a matrix A. A matrix R is constructed based on the matrix A and the matrix C. A matrix U is constructed based on the matrices A, C, and R. The matrices C, U, and R provide a CUR decomposition of the matrix A. The construction of the matrices C, U, and R provide at least one of an input-sparsity-time CUR and a deterministic CUR.

Finding a CUR decomposition

Exemplary embodiments include a method for re-ordering and visualizing a matrix in the presence of a data hierarchy stored on a computer system, the method including receiving a matrix, in the computer system, the matrix having rows and columns, reordering the matrix so that groups of related rows and columns are brought in adjacent matrix positions, wherein reordering the matrix A obeys constraints imposed by the data hierarchy on at least one of the rows and the columns and reordering the hierarchy on at least one of the rows and columns, wherein affinities in the data hierarchy are extracted by the reordering of the data hierarchy.

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White Plains, NY, United States of America

Christos Boutsidis