We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that whe
Modelling gaze shift as a constrained random walk
β Scribed by Giuseppe Boccignone; Mario Ferraro
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 520 KB
- Volume
- 331
- Category
- Article
- ISSN
- 0378-4371
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β¦ Synopsis
In this paper gaze shifts are considered as a realization of a stochastic process with non-local transition probabilities in a saliency ΓΏeld 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 di erent conditions.
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