A Methodology for Exploiting Oceans of Data within Territorial Dynamic Applications

Abstract

The current approaches aiming at collective intelligence modelling often rely on traditional methods (ontologies, graphs). Even if those traditional methods may have reached their limitations, fin front of demanding emerging practices. The major conceptual tools enrolled for current and future Web are deeply rooted in the information storage and retrieval practices. The focus is on developing more original technologies for capturing, analyzing, exploiting and visualizing data. The agencements and the arrangements provide the appropriate epistemological context of our contribution. The simplicial complexes are the mathematical support of the methodology. The result is a shift from networks studied towards graph theory to higher dimensional networks structures. The representation is more than graphs, or even hypergraphs. A geometric perspective shows the arrangement as assembling polyhedra of all sizes. Their contacts can form chains of adjacencies. It not only generalized the notion of path graphs but also made available a range of quantitative and qualitative tools on the structure. Thus, the separate parts, more or less strongly linked, and the length of paths to traverse, and even loops or "missing parts", are meaningful metadata representations.