Quantifying the Predictability of Visual Scanpaths Using Active Information Storage

Entropy-based measures are an important tool for studying human gaze behavior under various conditions. In particular, gaze transition entropy (GTE) is a popular method to quantify the predictability of a visual scanpath as the entropy of transitions between fixations and has been shown to correlate...

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Main Authors: Patricia Wollstadt, Martina Hasenjäger, Christiane B. Wiebel-Herboth
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/2/167
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author Patricia Wollstadt
Martina Hasenjäger
Christiane B. Wiebel-Herboth
author_facet Patricia Wollstadt
Martina Hasenjäger
Christiane B. Wiebel-Herboth
author_sort Patricia Wollstadt
collection DOAJ
description Entropy-based measures are an important tool for studying human gaze behavior under various conditions. In particular, gaze transition entropy (GTE) is a popular method to quantify the predictability of a visual scanpath as the entropy of transitions between fixations and has been shown to correlate with changes in task demand or changes in observer state. Measuring scanpath predictability is thus a promising approach to identifying viewers’ cognitive states in behavioral experiments or gaze-based applications. However, GTE does not account for temporal dependencies beyond two consecutive fixations and may thus underestimate the actual predictability of the current fixation given past gaze behavior. Instead, we propose to quantify scanpath predictability by estimating the active information storage (AIS), which can account for dependencies spanning multiple fixations. AIS is calculated as the mutual information between a processes’ multivariate past state and its next value. It is thus able to measure how much information a sequence of past fixations provides about the next fixation, hence covering a longer temporal horizon. Applying the proposed approach, we were able to distinguish between induced observer states based on estimated AIS, providing first evidence that AIS may be used in the inference of user states to improve human–machine interaction.
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spelling doaj.art-475ef366911247559f0fcc1f448279e42023-12-03T15:16:33ZengMDPI AGEntropy1099-43002021-01-0123216710.3390/e23020167Quantifying the Predictability of Visual Scanpaths Using Active Information StoragePatricia Wollstadt0Martina Hasenjäger1Christiane B. Wiebel-Herboth2Honda Research Insitute Europe GmbH, Carl-Legien-Str. 30, 63073 Offenbach/Main, GermanyHonda Research Insitute Europe GmbH, Carl-Legien-Str. 30, 63073 Offenbach/Main, GermanyHonda Research Insitute Europe GmbH, Carl-Legien-Str. 30, 63073 Offenbach/Main, GermanyEntropy-based measures are an important tool for studying human gaze behavior under various conditions. In particular, gaze transition entropy (GTE) is a popular method to quantify the predictability of a visual scanpath as the entropy of transitions between fixations and has been shown to correlate with changes in task demand or changes in observer state. Measuring scanpath predictability is thus a promising approach to identifying viewers’ cognitive states in behavioral experiments or gaze-based applications. However, GTE does not account for temporal dependencies beyond two consecutive fixations and may thus underestimate the actual predictability of the current fixation given past gaze behavior. Instead, we propose to quantify scanpath predictability by estimating the active information storage (AIS), which can account for dependencies spanning multiple fixations. AIS is calculated as the mutual information between a processes’ multivariate past state and its next value. It is thus able to measure how much information a sequence of past fixations provides about the next fixation, hence covering a longer temporal horizon. Applying the proposed approach, we were able to distinguish between induced observer states based on estimated AIS, providing first evidence that AIS may be used in the inference of user states to improve human–machine interaction.https://www.mdpi.com/1099-4300/23/2/167eye trackinginformation theoryactive information storagescanpath
spellingShingle Patricia Wollstadt
Martina Hasenjäger
Christiane B. Wiebel-Herboth
Quantifying the Predictability of Visual Scanpaths Using Active Information Storage
Entropy
eye tracking
information theory
active information storage
scanpath
title Quantifying the Predictability of Visual Scanpaths Using Active Information Storage
title_full Quantifying the Predictability of Visual Scanpaths Using Active Information Storage
title_fullStr Quantifying the Predictability of Visual Scanpaths Using Active Information Storage
title_full_unstemmed Quantifying the Predictability of Visual Scanpaths Using Active Information Storage
title_short Quantifying the Predictability of Visual Scanpaths Using Active Information Storage
title_sort quantifying the predictability of visual scanpaths using active information storage
topic eye tracking
information theory
active information storage
scanpath
url https://www.mdpi.com/1099-4300/23/2/167
work_keys_str_mv AT patriciawollstadt quantifyingthepredictabilityofvisualscanpathsusingactiveinformationstorage
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