The distributed matrix multiplication problem with an unknown number of stragglers is considered, where the goal to efficiently and flexibly obtain product two massive matrices by distributing computation across $N$ servers. There are...

Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system. A matrix Banach algebra is a matrix Banach space with a completely contractive multiplication. We study the structure of matrix Banach spaces and matrix Banach algebras. Then we...

motivated by an arens regularity problem, we introduce the concepts of matrix banach space and matrix banach algebra. the notion of matrix normed space in the sense of ruan is a special case of our matrix normed system. a matrix banach algebra is a matrix banach space with a completely contractive multiplication. we study the structure of matrix banach spaces and matrix banach algebras. then we...

We consider the problem of designing codes with flexible rate (referred to as rateless codes), for private distributed matrix-matrix multiplication. A master server owns two matrices $\mathbf {A}$ ...

A majority of coded matrix-matrix computation literature has broadly focused in two directions: matrix partitioning for computing a single task and batch processing multiple distinct tasks. While these works provide codes with good straggler resilience fast decoding their problem spaces, would not be able to take advantage the natural redundancy re-using matrices across jobs. In this paper, we ...