Analyzing the Social Web by Jennifer Golbeck

Author:Jennifer Golbeck
Language: eng
Format: epub, pdf
ISBN: 9780124058569
Publisher: Elsevier Inc.
Published: 2013-02-18T16:00:00+00:00

So, although the number of friends in common is 100 times higher for Alice and Bob, the Jaccard Index is over 100 times higher for Chuck and Dave because they do not have as many total friends. Stepping back from the math, it makes sense that people who have 20 real friends in common are likely to be closer than celebrities who have lots of common “friends” but also far more friends that are not shared.

This example brings up another problem. What if the 20 people Chuck and Dave know in common are also celebrities? That is much less meaningful than if they are other people with a smaller number of friends. Adamic and Adar (2003) came up with a method for dealing with this issue. They look at common friends and assign a score that gives more weight to people who have a few friends.

The formula is as follows:

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