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Modelling gaze shift as a constrained random walk

Author

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  • Boccignone, Giuseppe
  • Ferraro, Mario

Abstract

In this paper gaze shifts are considered as a realization of a stochastic process with non-local transition probabilities in a saliency field that represents a landscape upon which a constrained random walk is performed. The search is driven by a Langevin equation whose random term is generated by a Levy distribution, and by a Metropolis algorithm. Results of the simulations are compared with experimental data, and a notion of complexity is introduced to quantify the behavior of the system in different conditions.

Suggested Citation

  • Boccignone, Giuseppe & Ferraro, Mario, 2004. "Modelling gaze shift as a constrained random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 207-218.
    • Handle: RePEc:eee:phsmap:v:331:y:2004:i:1:p:207-218
    DOI: 10.1016/j.physa.2003.09.011
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    Citations

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    Cited by:

    1. Tommaso Costa & Giuseppe Boccignone & Franco Cauda & Mario Ferraro, 2016. "The Foraging Brain: Evidence of Lévy Dynamics in Brain Networks," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-16, September.
    2. Jerzy Grobelny & Rafal Michalski & Rafal Weron, 2015. "Is Human Visual Activity in Simple Human-Computer Interaction Search Tasks a Lévy Flight?," WORking papers in Management Science (WORMS) WORMS/15/04, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.
    3. Colleen A Marlow & Indre V Viskontas & Alisa Matlin & Cooper Boydston & Adam Boxer & Richard P Taylor, 2015. "Temporal Structure of Human Gaze Dynamics Is Invariant During Free Viewing," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-13, September.

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