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1 0 0 0 1 0 0 1
0 0 1 0 0 1 0 0
1 0 1 0 0 0 1 1
0 1 0 0 0 1 0 0
0 0 1 0 0 1 0 0
1 0 0 0 1 0 0 1
•Aggregate all (user, track) streams into a large matrix
•Goal: Approximate binary preference matrix by inner product of 2 smaller matrices by minimizing the
weighted RMSE (root mean squared error) using a function of plays, context, and recency as weight
X YUsers
Songs
• = bias for user
• = bias for item
• = regularization parameter
• = 1 if user streamed track else 0

• = user latent factor vector
• = item latent factor vector
[1] Hu Y. & Koren Y. & Volinsky C. (2008) Collaborative Filtering for Implicit Feedback Datasets 8th IEEE International Conference on Data Mining
Implicit Matrix Factorization

Published in: Software, Technology
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