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There are also useful, though less complete, approaches that can be applied to random forests in particular.
These criterions can be used to predict crack propagation direction under proportional monotonic loads, but they cannot be applied to random loads.
Previous versions of MEGAN could only be applied to random shotgun sequences.
This is possible due to the unique properties of HOS that can be applied to random time series.
The same analysis can be applied to random samples of metabolic networks with specific properties, as generated by our MCMC sampling procedure (see Methods).
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The three methods were applied to random graphs of different edge densities simulated according to several models: Erdös-Rényi, Random spanning trees and Geometric random graphs [Geo3D, Przulj et al. (2004)] (see Section 2).
In this section, the theoretical results developed in Section 3 are applied to random cell scanning.
Different features, exploring expression variation (same as in Figure 8.A) were applied to random genes and pharmacological targets.
To evaluate the performance, the proposed method was applied to random data generated from synthetic networks and parameters.
Repeated sampling was applied to random variable selection (1,000 times for each number of deficit variables under consideration), to cover various possibilities of variables inclusion.
Section 4 is devoted to numerical experiments, which demonstrate that these algorithms can be applied to simulate random periodic solutions of dissipative SDEs.
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