Homological persistence in time series: an application to music classification

DOI10.1080/17459737.2020.1786745zbMath1466.00012OpenAlexW3043325078MaRDI QIDQ4993921

Mattia G. Bergomi, Adriano Baratè

Publication date: 11 June 2021

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17459737.2020.1786745

zbMATH Keywords

classificationtopologydynamic time warpingpersistent homologytime-series analysisapplied computingTonnetz

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Time series analysis of dynamical systems (37M10) Mathematics and music (00A65)

Related Items

Persistent homology on musical bars, Topological data analysis of Korean music in Jeongganbo: a cycle structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the definition of the homological critical value
• Fréchet means for distributions of persistence diagrams
• Stability of persistence diagrams
• Natural pseudo-distance and optimal matching between reduced size functions
• Time series classification with ensembles of elastic distance measures
• Clustering of time series data -- a survey
• Towards a Topological Fingerprint of Music
• Time-series data mining
• Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians
• Computational Topology
• Computation and Visualization of Musical Structures in Chord-Based Simplicial Complexes