Cosine Similarity Item Based Predictions 77B Recommender Systems.

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Presentation transcript:

Cosine Similarity Item Based Predictions 77B Recommender Systems

Item Based Collaborative Filtering In previous lectures we looked at similarities between users (user based collab. Filt.) Now we look at similarities between items (item based collab. filtering) Find the nearest neighbors of a particular item i by some measure of similarity. The similarity can depend on predefined features (genre of a movie)  content based filtering or on the rating behavior of people for this item (item based collab. Filt.) Average the ratings of these nearest neighbors for some item to predict the rating for a new item

Cosine Similarity Measure Note that we are now interested in similarity between items, so the sum is over users If there many people who rated the items similarly then the cosine is large If x i is approximately equal to –y i then it is large and negative. Two vectors x, y that are orthogonal have similarity 0 We do NOT subtract the mean rating! We divide by the scale (standard deviation) so that a wider range of values has no influence.

Prediction We assume we have all ratings (relax later) csm is the similarity between two items. We weight item’s contributions with their similarity Divide by total weight so that sum of weights = 1