Difference between revisions of "Ordinal-time"
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Ordinal-time: Consider a complete time sequence of an evolving social network that includes each time a new network link is formed and each time an individual adopts a new behavior. For each k, consider the set of all individuals who were ever [[k-exposed]] at any time, and define po(k) to be the fraction of this set that became adopters before acquiring a (k + 1)st neighbor who is an adopter. | Ordinal-time: Consider a complete time sequence of an evolving social network that includes each time a new network link is formed and each time an individual adopts a new behavior. For each k, consider the set of all individuals who were ever [[k-exposed]] at any time, and define po(k) to be the fraction of this set that became adopters before acquiring a (k + 1)st neighbor who is an adopter. | ||
− | Figure 1 shows the shape of influence curves for the ordinal-time definitions: | + | Figure 1 shows the shape of influence curves for the ordinal-time definitions using the Wikipedia data: |
[[File:ordinal-time.jpg]] | [[File:ordinal-time.jpg]] |
Revision as of 11:10, 4 April 2011
Ordinal-time: Consider a complete time sequence of an evolving social network that includes each time a new network link is formed and each time an individual adopts a new behavior. For each k, consider the set of all individuals who were ever k-exposed at any time, and define po(k) to be the fraction of this set that became adopters before acquiring a (k + 1)st neighbor who is an adopter.
Figure 1 shows the shape of influence curves for the ordinal-time definitions using the Wikipedia data: