Time-Delay Identification Using Multiscale Ordinal Quantifiers

Time-delayed interactions naturally appear in a multitude of real-world systems due to the finite propagation speed of physical quantities. Often, the time scales of the interactions are unknown to an external observer and need to be inferred from time series of observed data. We explore, in this wo...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Soriano, Miguel, Zunino, Luciano José
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125453
https://www.mdpi.com/1099-4300/23/8/969
Aporte de:
id I19-R120-10915-125453
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Time-delay
Time series
Symbolic analysis
Ordinal patterns
Permutation entropy
Weighted permutation entropy
Ordinal Temporal Asymmetry
Autocorrelation function
Linear models
Nonlinear models
spellingShingle Física
Time-delay
Time series
Symbolic analysis
Ordinal patterns
Permutation entropy
Weighted permutation entropy
Ordinal Temporal Asymmetry
Autocorrelation function
Linear models
Nonlinear models
Soriano, Miguel
Zunino, Luciano José
Time-Delay Identification Using Multiscale Ordinal Quantifiers
topic_facet Física
Time-delay
Time series
Symbolic analysis
Ordinal patterns
Permutation entropy
Weighted permutation entropy
Ordinal Temporal Asymmetry
Autocorrelation function
Linear models
Nonlinear models
description Time-delayed interactions naturally appear in a multitude of real-world systems due to the finite propagation speed of physical quantities. Often, the time scales of the interactions are unknown to an external observer and need to be inferred from time series of observed data. We explore, in this work, the properties of several ordinal-based quantifiers for the identification of time-delays from time series. To that end, we generate artificial time series of stochastic and deterministic time-delay models. We find that the presence of a nonlinearity in the generating model has consequences for the distribution of ordinal patterns and, consequently, on the delay-identification qualities of the quantifiers. Here, we put forward a novel ordinal-based quantifier that is particularly sensitive to nonlinearities in the generating model and compare it with previously-defined quantifiers. We conclude from our analysis on artificially generated data that the proper identification of the presence of a time-delay and its precise value from time series benefits from the complementary use of ordinal-based quantifiers and the standard autocorrelation function. We further validate these tools with a practical example on real-world data originating from the North Atlantic Oscillation weather phenomenon.
format Articulo
Articulo
author Soriano, Miguel
Zunino, Luciano José
author_facet Soriano, Miguel
Zunino, Luciano José
author_sort Soriano, Miguel
title Time-Delay Identification Using Multiscale Ordinal Quantifiers
title_short Time-Delay Identification Using Multiscale Ordinal Quantifiers
title_full Time-Delay Identification Using Multiscale Ordinal Quantifiers
title_fullStr Time-Delay Identification Using Multiscale Ordinal Quantifiers
title_full_unstemmed Time-Delay Identification Using Multiscale Ordinal Quantifiers
title_sort time-delay identification using multiscale ordinal quantifiers
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/125453
https://www.mdpi.com/1099-4300/23/8/969
work_keys_str_mv AT sorianomiguel timedelayidentificationusingmultiscaleordinalquantifiers
AT zuninolucianojose timedelayidentificationusingmultiscaleordinalquantifiers
bdutipo_str Repositorios
_version_ 1764820451703390211