Polytopes for music segmentation

Polytopic paradigms to study music, defined in [1], based on [2] and [3].

The goal of the polytopic approach is to define a new compression criteria, then used as cost for music segmentation, based on dynamic programming. See [4] for more details on this approach.

[1] Marmoret, A., Cohen, J. E., & Bibmot, F. (2022). Polytopic Analysis of Music. arXiv preprint arXiv:2212.11054. [2] Guichaoua, C., Modèles de compression et critères de complexité pour la description et l’inférence de structure musicale. PhD thesis, 2017. [3] Louboutin, C., Modélisation multi-échelle et multi-dimensionnelle de la structure musicale par graphes polytopiques. PhD thesis, Rennes 1, 2019. [4] Sargent, G., Bimbot, F., & Vincent, E. (2016). Estimating the structural segmentation of popular music pieces under regularity constraints. IEEE/ACM Transactions on Audio, Speech, and Language Processing, 25(2), 344-358.