ICME Distinguished Speaker Series

Mark Embree, Professor of Mathematics at Virginia Tech, will be giving the inaugural seminar in the new ICME Distinguished Speaker Series. 

 

Professor Embree will be presenting a talk about Interpolatory Matrix Approximations.

 

Interpolatory factorizations provide alternatives to the singular value decomposition for low-rank matrix approximations; this class includes the CUR factorization, where the C and R matrices are formed from subsets of columns and rows of the matrix being approximated. While interpolatory approximations lack the SVD's optimality, their ingredients are easier to interpret than singular vectors: since they come directly from the matrix itself, they inherit the data's key properties (e.g., nonnegative/integer values, sparsity, etc.). We shall provide an overview of these approximate factorizations, describe how they can be analyzed using interpolatory projectors, and introduce a new method for their construction based on the Discrete Empirical Interpolation Method (DEIM). This talk describes joint work with Dan Sorensen (Rice).

 

The Distinguished Speaker Series will replace CME 500 about once per quarter. This talk will replace the CME 500 seminar on Monday, February 2 and will be held in Building 300, Room 300 at 4:15p.m.