We introduce a method to visualize dependencies between two time series by applying the concept of cross recurrence plots to the local ordinal structure. We derive a measure of the coupling strength which is robust against observational noise, nonlinear distortion of the amplitude, and low-frequency trends. Connections to the instantaneous phase and the determination of phase coupling of two co...

We calculate the density and expectation for the number of lineages in a reconstructed tree with n extant species. This is done with conditioning on the age of the tree as well as with assuming a uniform prior for the age of the tree.

Recurrence plots (RPs) are two-dimensional binary matrices used to represent patterns of recurrence in time series data, and are typically used to analyze the behavior of non-linear dynamical systems. In this paper, we propose a method for the generation of time-variant delay effects in which the recurrences in an RP are used to restructure an audio buffer. We describe offline and realtime syst...

Abstract Cross-correlation analysis is a powerful tool for understanding the mutual dynamics of time series. This study introduces new method predicting future state synchronization two financial To this end, we use cross recurrence plot as nonlinear quantifying multidimensional coupling in domain series and determining their synchronization. We adopt deep learning framework methodologically ad...