In this section, we empirically evaluate a set of realizations of the annotated tree structure.
Through a graphical user interface, one can map a set of realizations and forward transfer function responses into a multidimensional scaling (MDS) space where visualization utilities, and clustering techniques are available.
Then, varying δ k, δ v, it is possible to simulate erroneous estimation for a set of realizations, to determine what are filtering criteria values (PSNR, PSNR-HVS-M, MSSIM) for each realization and to statistically process them with obtaining mean and standard deviation for each considered metric as well as confidence intervals.
Alternatively, a RV can be constructed starting from a set of realizations.
This algorithm produces a set of realizations or stochastic trajectories of the Markov process, given a set of uniform random numbers in [0,1].
As described in the manuscript, we first compute a set of 50 realizations of the cytoskeleton before solving equation (2) for each realization to calculate the corresponding fluid flow field.
The spatial variation of hydraulic conductivity within the flow model was based on one realization of the spatial distribution of hydrofacies selected from a set of many realizations (Burow et al. 2008) that was constructed with a three-dimensional hydrofacies model using the program TPROGS (Carle et al. 1998).
Given a set of channel realizations, several Nash equilibria exist which renders the outcome of the game unpredictable.
The program initializes with a set of initial realizations (population) of reservoir generated from geostatistical software (see next section for details).
Given a set of microstructure realizations (input samples) generated from given statistical information about the medium topology, the framework constructs a reduced-order stochastic representation of the thermal diffusivity.
