software engineering

Macedo H, Oliveira JN.  2015.  A linear algebra approach to OLAP. Formal Aspects of Computing. 27(2):283-307. Abstractart3a10.10072fs00165-014-0316-9.pdf

Inspired by the relational algebra of data processing, this paper addresses the foundations of data analytical processing from a linear algebra perspective. The paper investigates, in particular, how aggregation operations such as cross tabulations and data cubes essential to quantitative analysis of data can be expressed solely in terms of matrix multiplication, transposition and the Khatri–Rao variant of the Kronecker product. The approach offers a basis for deriving an algebraic theory of data consolidation, handling the quantitative as well as qualitative sides of data science in a natural, elegant and typed way. It also shows potential for parallel analytical processing, as the parallelization theory of such matrix operations is well acknowledged.


I am professor of Computer Science at the Informatics Department of University of Minho and researcher at HASLab/ INESC TEC. I am also a member of IFIP WG 2.1 (Algorithmic Languages and Calculi) and of the Formal Methods Europe (FME) Association.