Le 30 juin 2017
de 15h00 à 15h30
Le Patio (université de Strasbourg)
22 rue René Descartes, 67000 Strasbourg
amphithéâtre 6
Séance précomposée - Formal, Theoretical, and Computational Models in Popular Music Analysis
Pré-acte / Acte
Auteurs : Adriano Baratè et Mattia Bergomi
A time-varying system can be described as a series of geometric and topological events. Our main aim is to provide a strategy to compare time-varying systems, by considering their geometric evolution in time. In the static case, persistent homology allows to represent geometric and topological properties of a space as a collection of multisets of points and lines called persistence diagrams. The idea is to fingerprint the change of a variable-geometry space as a time series of persistence diagrams, and afterwards compare such time series by using Dynamic Time Warping. As an application, we express some music features and their time dependency by updating the values of a function defined on a polyhedral surface, called the Tonnetz (Hascher and Papadopoulos, 2015). Thereafter, we use this time-based representation to automatically classify three collections of compositions according to their style.
