Comment on Wibral et al. (2013): Measuring information-transfer delays, PloS ONE 8(2): e55809

TL;DR

This paper comments on Wibral et al.'s information-theoretic measure of interaction delays, comparing it with the bivariate momentary information transfer, and corrects an earlier error in the critique.

Contribution

It provides a critical analysis of Wibral et al.'s delay measure and clarifies the comparison with the MIT measure, correcting previous inaccuracies.

Findings

Clarifies differences between the two delay measures

Corrects an error in the previous critique

Highlights the theoretical implications of the measures

Abstract

Wibral et al. propose a measure of interaction delays rooted in an information-theoretic framework and contrast their measure with the bivariate momentary information transfer (MIT), introduced in Pompe, B., & Runge, J. (2011). Momentary information transfer as a coupling measure of time series. Phys. Rev. E, 83(5), 1-12. In this version we correct an error in a previous version of this comment.