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The perturbation scenario ((I_I)) implies that the matrix (mathbf{W}_I) is used for the Ncut computation.
It merely indicates through a 0 1 binary representation which clusterings yield the best performance for the current perturbation scenario.
For instance, C being the best clustering within ({mathcal {X}}) for the perturbation scenario ((I_I)) means that C yields the smallest Ncut value among the Ncut values computed using the M clusterings of ({mathcal {X}}) and the perturbed adjacency matrix (mathbf{W}_I), i.e., (text {C}in arg underset{text {D} in {mathcal {X}}}{min },text {Ncut} text {D}, mathbf{W}_I)).
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(2015) clustering for both the nominal adjacency matrix and across the perturbation scenarios.
According to both robustness measures, clustering (text {C}_3) performs better throughout the perturbation scenarios.
We simulated the different perturbation scenarios by assuming different percentages of disturbances ('percent perturbation', Fig. 8) to the system from 1 to 100%.
In the absence of direct estimates of the values encountered at different perturbation scenarios, this model provided us the opportunity to simulate the best possible scenarios (values) that would reflect the actual field measurements of salinity.
The first measure, (R_1^{mathcal {X}}), reports for a given clustering (text {C}in {mathcal {X}}) the fractional degree that it is the best clustering within ({mathcal {X}}) across the perturbation scenarios.
Furthermore, validation experiments confirm that we are able to reliably predict different perturbation scenarios.
Thus, our model not only reproduces a set of different experiments, but can also be used for reliable predictions of new perturbation scenarios.
This paper proposes a research framework that couples normative and descriptive approaches for studying human behavior to search for regularities in engineering decision making and stress claims and methods against scenario perturbations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com