Entropy is a powerful tool for the analysis of time series, as it allows describing the
probability distributions of the possible state of a system, and therefore the information …

More than ten years ago Bandt and Pompe introduced a new measure to quantify
complexity in measured time series. During these ten years, this measure has been modified …

In this paper we introduce a multiscale symbolic information-theory approach for
discriminating nonlinear deterministic and stochastic dynamics from time series associated …

A symbolic encoding scheme, based on the ordinal relation between the amplitude of
neighboring values of a given data sequence, should be implemented before estimating the …

In 2002, in a seminal article, Bandt and Pompe proposed a new methodology for the
analysis of complex time series, now known as Ordinal Analysis. The ordinal methodology is …

This paper is concerned with the development of improved multi-strategy MPA-VMD method
and its application in pipeline leakage detection. Aiming at the shortcomings of the marine …

Permutation entropy and order patterns in an EEG signal have been applied by several
authors to study sleep, anesthesia, and epileptic absences. Here, we discuss a new version …

The development of new measures and algorithms to quantify the entropy or related
concepts of a data series is a continuous effort that has brought many innovations in this …

The main motivation of this paper is to introduce the permutation Jensen-Shannon distance,
a symbolic tool able to quantify the degree of similarity between two arbitrary time series …

Since Bandt and Pompe's seminal work, permutation entropy has been used in several
applications and is now an essential tool for time series analysis. Beyond becoming a …