Identifying Ordinal Similarities at Different Temporal Scales

This study implements the permutation Jensen-Shannon distance as a metric for discerning ordinal patterns and similarities across multiple temporal scales in time series data. Initially, we present a numerically controlled analysis to validate the multiscale capabilities of this method. Subsequently...

ver descrição completa

Detalhes bibliográficos
Autores: Zunino, Luciano, Porte, Xavier, Soriano, Miguel C.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/380947
Acesso em linha:http://hdl.handle.net/10261/380947
https://api.elsevier.com/content/abstract/scopus_id/85213401435
Access Level:acceso abierto
Palavra-chave:Time series
Jensen–Shannon divergence
Chaotic semiconductor laser
Delayed optical feedback
Multiscale analysis
Ordinal patterns
Ordinal similarity
Permutation Jensen–Shannon distance
Permutation entropy
Symbolic analysis
Descrição
Resumo:This study implements the permutation Jensen-Shannon distance as a metric for discerning ordinal patterns and similarities across multiple temporal scales in time series data. Initially, we present a numerically controlled analysis to validate the multiscale capabilities of this method. Subsequently, we apply our methodology to a complex photonic system, showcasing its practical utility in a real-world scenario. Our findings suggest that this approach is a powerful tool for identifying the precise temporal scales at which two distinct time series exhibit ordinal similarity. Given its robustness, we anticipate that this method could be widely applicable across various scientific disciplines, offering a new lens through which to analyze time series data.