Application of Time-Scale Decomposition of Entropy for Eye Movement Analysis

Entropy (Basel). 2020 Feb 1;22(2):168. doi: 10.3390/e22020168.

Abstract

The methods for nonlinear time series analysis were used in the presented research to reveal eye movement signal characteristics. Three measures were used: approximate entropy, fuzzy entropy, and the Largest Lyapunov Exponent, for which the multilevel maps (MMs), being their time-scale decomposition, were defined. To check whether the estimated characteristics might be useful in eye movement events detection, these structures were applied in the classification process conducted with the usage of the kNN method. The elements of three MMs were used to define feature vectors for this process. They consisted of differently combined MM segments, belonging either to one or several selected levels, as well as included values either of one or all the analysed measures. Such a classification produced an improvement in the accuracy for saccadic latency and saccade, when compared with the previously conducted studies using eye movement dynamics.

Keywords: approximate entropy; eye movement events detection; fuzzy entropy; multilevel entropy map; nonlinear analysis time series analysis; time-scale decomposition.