We develop a hierarchical matrix construction algorithm using matrixvector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorith...
In this research we introduce the problem of the binary matrix partitioning in a biological context. Our idea is to use SNP matrix to construct a set of phylogenetic networks to r...
Let A and B two n × n matrices over a ring R (e.g., the reals or the integers) each containing at most m non-zero elements. We present a new algorithm that multiplies A and B usi...
Abstract. We give a novel general approach for solving NP-hard optimization problems that combines dynamic programming and fast matrix multiplication. The technique is based on red...
As long as a square nonnegative matrix A contains sufficient nonzero elements, then the Sinkhorn-Knopp algorithm can be used to balance the matrix, that is, to find a diagonal sc...