Enteroscopia por cápsula e doença de Crohn: Caminhos para a otimização

Tese de Doutoramento em Medicina

Inquérito sobre as bibliotecas dos Serviços de Documentação: relatório do questionário aplicado em 2014

Os dados que fundamentam este relatório encontram-se disponíveis em: http://hdl.handle.net/1822/39007

A linear algebra approach to OLAP

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.