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In both cases, however, the "randomized" model parameter b n is assumed to be redrawn in each time step n as in Fig. 6 a.
Our results are generally applicable to Randomized Model Predictive Control of chance constrained linear systems with additive uncertainty and affine disturbance feedback.
Particularly, Newman's notion of modularity [6],[8], which considers the internal connectivity with reference to a randomized model, has been a very popular measure for community partition in general networks.
Contrary to findings reported for mobile phone calls [58] and microblogging [57] we did not observe a higher tendency of female users to form gender homogeneous triangles, while we observed a stronger deviation from the expected values in a randomized model for the number of male-only triangles.
An option to use randomized model sequence (a third-order Markov process with probabilities extracted from the test sequences) as control is also provided.
We also investigated an additional randomized model in which we switched 30, 000 instead of 3, 000 edges and found similar results (data not shown).
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In this analysis, we constructed 2 randomized models using 3000 randomization steps and simulated each with 100 different parameter sets.
When this calculated R value was compared to the mean R value calculated from randomized models (X matrix rows randomized against Y matrix rows) we observed that this model was 6.36 standard deviations above the mean randomized value of 0.1847 corresponding to a P-value less than 0.0001.
50 randomized models were built in the randomization test.
The behavior of the scrambled randomized models is compared in terms of their sampling errors.
That is why specific temporal patterns are found more often in phonecall networks than what is expected from randomized models (see [22, 23]).
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