From: Modeling fixation locations using spatial point processes
Journal of Vision. 2013;13(12):1. doi:10.1167/13.12.1
Figure Legend:
The Wiener Process, a member of the family of Gaussian Processes. (a) Stochastic processes can be used to
generate random functions: here we show three realizations from a Wiener process. The Wiener process is a continuous
analogue of the random walk. Although usually presented as representing the movement of a particle, one can think of
the path taken by the Wiener process as a function y(t), and therefore of the Wiener process as generating a probability
distribution over functions. The Wiener process is a GP, but GPs used in practice generate much smoother functions
(see Figure 21 below). (b) We generated 200 realizations of the Wiener process, and plot their value at time t = 0.5
against
their value
after either a small
time
lag (δ = 0.02),
or a larger
timeand
lagOphthalmology
(δ = 0.2). The Copyright
smaller the
time lag,
the reserved.
Date
of download:
7/28/2017
The
Association
for Research
in Vision
© 2017.
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more these values are correlated. In general, this property is reflected in the covariance function of the GP.