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134 that communities are not formed around users with common majors. Overall, this experiment shows that multiple attributes can be inferred globally when as few as 20% of the users reveal their attribute information. 1 0.8 0.6 0.4 0.2 0 Figure 7.2 : Normalized mutual information versus the fraction of users who reveal their community for Rice graduate students. Figure 7.2 plots the results of this experiment for the Rice graduate students. Similar to the undergrads, we observe that certain attributes correspond to commu- nities that can be detected with high accuracy. For example, if as few as 5% of the students reveal their department or school, we can infer the department or school for the remaining students with approximately 60% accuracy. However, this is not the case for the matriculation year attribute. We observed in the previous section that matriculation years only correspond to weak communities, so this result is not unexpected. Scho ol Department Year 0 0.10.20.30.40.50.60.70.80.9 1 Fraction of Users Revealed Normalized Mutual InformationPDF Image | Online Social Networks: Measurement, Analysis, and Applications to Distributed Information Systems
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