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SAP HANA Predictive Analysis Library (PAL)

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3.8 Social Network <strong>Analysis</strong> Algorithms<br />

This section describes the algorithms provided by the <strong>PAL</strong> that are mainly used for social network analysis.<br />

3.8.1 Link Prediction<br />

Predicting missing links is a common task in social network analysis. The Link Prediction algorithm in <strong>PAL</strong><br />

provides four methods to compute the distance of any two nodes using existing links in a social network, and<br />

make prediction on the missing links based on these distances.<br />

Let x and y be two nodes in a social network, and be the set containing the neighbor nodes of x, the four<br />

methods to compute the distance of x and y are briefly described as follows.<br />

Common Neighbors<br />

The quantity is computed as the number of common neighbors of x and y:<br />

Then, it is normalized by the total number of nodes.<br />

Jaccard's Coefficient<br />

The quantity is just a slight modification of the common neighbors:<br />

Adamic/Adar<br />

The quantity is computed as the sum of inverse log degree over all the common neighbors:<br />

Katz β<br />

540 P U B L I C<br />

<strong>SAP</strong> <strong>HANA</strong> <strong>Predictive</strong> <strong>Analysis</strong> <strong>Library</strong> (<strong>PAL</strong>)<br />

<strong>PAL</strong> Functions

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