SemiAutomatic Task Graph Construction for $\mathcal{H}$-Matrix Arithmetic

An Arithmetic for Matrix Pencils

We deene an algebra on matrix pencils that is a natural extension of sums, products and quotients of real numbers. The classical algebra of linear transformations may be regarded as a special case of the algebra of pencils. The sum and product deened here preserve right deeating subspaces. We show below that the matrix sign function and the inverse-free algorithms can be derived from an algebra...

An efficient graph representation for arithmetic circuitverification

Construction of a phonotactic dialect corpus using semiautomatic annotation

In this paper, we discuss rapid, semiautomatic annotation techniques of detailed phonological phenomena for large corpora. We describe the use of these techniques for the development of a corpus of American English dialects. The resulting annotations and corpora will support both largescale linguistic dialect analysis and automatic dialect identification. We delineate the semiautomatic annotati...

Graph Matrix Completion in Presence of Outliers

Matrix completion problem has gathered a lot of attention in recent years. In the matrix completion problem, the goal is to recover a low-rank matrix from a subset of its entries. The graph matrix completion was introduced based on the fact that the relation between rows (or columns) of a matrix can be modeled as a graph structure. The graph matrix completion problem is formulated by adding the...

Bounds for Matrix Coefficients and Arithmetic Applications

— We explain an important result of Hee Oh [16] on bounding matrix coefficients of semi-simple groups and survey some applications.