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Figure 1 | EPJ Data Science

Figure 1

From: Temporal patterns behind the strength of persistent ties

Figure 1

Detecting tie decay and strength. Definition of observation periods and examples of call activity for 4 given ties. Any vertical segment is a call between the users in a particular tie. Our 19 months database is divided in three periods, where the 7 months in the middle Ω is our observation period where all the tie features will be measured. The period \(\Omega_{\mathrm{after}}\) is used to asses if ties are persistent, i.e. if there is activity in the tie. For example, ties (A) and (D) are persistent, while ties (B) and (C) are said to have decayed in \(\Omega_{\mathrm{after}}\). All ties have similar values of number of calls in the observation period with \(w_{ij} \in [30,40]\). We also show specific examples of one inter-event time \(\delta_{ij}\) (tie (B)) and freshness \(f_{ij}\) (tie (C)).

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