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Networks with Negative Edges

networkscience

When I started my PhD program at the Technische Universität in Berlin, my first task was to research rating prediction methods.  Rating prediction is a huge topic:  In 2006, Netflix started the Netflix Prize, in which participants could win a million dollars by predicting whether a given person likes or dislikes a given movie.  To make these predictions possible, Netflix published the ratings of 480,000 persons for 17,000 movies.  Ratings on Netflix are on a scale from 1 to 5.  1 would mean a user dislikes a movie and 5 means the user likes it.  Then, given a list of (user, movie) pairs, ratings had to be predicted and submitted to Netflix.  The submitted predictions were then compared to actual withheld ratings, and the first team to improve by 10% the prediction accuracy (measured in a least-squares sense) of Netflix’s own recommender then won the million dollars.

To predict…

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