caa a22 4500 60551643X CHVBK 20210128100714.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00165-014-0316-9 doi (NATIONALLICENCE)springer-10.1007/s00165-014-0316-9 A linear algebra approach to OLAP [Elektronische Daten] [Hugo Macedo, José Oliveira] 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. British Computer Society, 2014 Software engineering nationallicence Formal methods nationallicence Data science nationallicence Macedo Hugo INRIA, Centre Paris-Rocquencourt, 23 avenue dItalie, CS 81321, 75214, Paris Cedex 13, France aut Oliveira José High Assurance Software Lab/INESC TEC and University of Minho, Braga, Portugal aut Formal Aspects of Computing Springer London 27/2(2015-03-01), 283-307 0934-5043 27:2<283 2015 27 165 https://doi.org/10.1007/s00165-014-0316-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00165-014-0316-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Macedo Hugo INRIA, Centre Paris-Rocquencourt, 23 avenue dItalie, CS 81321, 75214, Paris Cedex 13, France aut NATIONALLICENCE 700 1- Oliveira José High Assurance Software Lab/INESC TEC and University of Minho, Braga, Portugal aut NATIONALLICENCE 773 0- Formal Aspects of Computing Springer London 27/2(2015-03-01), 283-307 0934-5043 27:2<283 2015 27 165