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Main Authors: Lencastre, Pedro, Bystryk, Yurii, Yazidi, Anis, Denisov, Sergey, Lind, Pedro G.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.00864
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author Lencastre, Pedro
Bystryk, Yurii
Yazidi, Anis
Denisov, Sergey
Lind, Pedro G.
author_facet Lencastre, Pedro
Bystryk, Yurii
Yazidi, Anis
Denisov, Sergey
Lind, Pedro G.
contents Foraging is a complex spatio-temporal process which is often described with stochastic models. Two particular ones, Lévy walks (LWs) and intermittent search (IS), became popular in this context. Researchers from the two communities, each advocating for either Lévy or intermittent approach, independently analyzed foraging patterns and reported agreement between empirical data and the model they used. We resolve this Lévy-intermittent dichotomy for eye-gaze trajectories collected in a series of experiments designed to stimulate free foraging for visual information. By combining analytical results, statistical quantifiers, and basic machine learning techniques, we devise a method to score the performance of the models when they are used to approximate an individual gaze trajectory. Our analysis indicates that the intermittent search model consistently yields higher scores and thus approximates the majority of the eye-gaze trajectories better.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00864
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The dynamical law behind eye movements: distinguishing between Lévy and intermittent strategies
Lencastre, Pedro
Bystryk, Yurii
Yazidi, Anis
Denisov, Sergey
Lind, Pedro G.
Statistical Mechanics
Foraging is a complex spatio-temporal process which is often described with stochastic models. Two particular ones, Lévy walks (LWs) and intermittent search (IS), became popular in this context. Researchers from the two communities, each advocating for either Lévy or intermittent approach, independently analyzed foraging patterns and reported agreement between empirical data and the model they used. We resolve this Lévy-intermittent dichotomy for eye-gaze trajectories collected in a series of experiments designed to stimulate free foraging for visual information. By combining analytical results, statistical quantifiers, and basic machine learning techniques, we devise a method to score the performance of the models when they are used to approximate an individual gaze trajectory. Our analysis indicates that the intermittent search model consistently yields higher scores and thus approximates the majority of the eye-gaze trajectories better.
title The dynamical law behind eye movements: distinguishing between Lévy and intermittent strategies
topic Statistical Mechanics
url https://arxiv.org/abs/2505.00864