1.       Show how to use a factorization machine to perform undirected link prediction in a social network with content.

2.       Show how to convert a link prediction problem with structure and content into a link prediction problem on a derived graph.

3.       Suppose that you have a user-item ratings matrix with numerical/missing values. Furthermore, users have rated each other’s trustworthiness with binary/missing values. (a) Show how you can use shared matrix factorization for estimating the rating of a user on an item that they have not already rated. (b) Show how you can use factorization machines to achieve similar goals as (a).