Low-rank matrix factorization with attributes

@article{Abernethy2006LowrankMF,
  title={Low-rank matrix factorization with attributes},
  author={Jacob D. Abernethy and Francis R. Bach and Theodoros Evgeniou and Jean-Philippe Vert},
  journal={CoRR},
  year={2006},
  volume={abs/cs/0611124}
}
We develop a new collaborative filtering (CF) method that combines both previously known users’ preferences, i.e. standard CF, as well as product/user attributes, i.e. classical function approximation, to predict a given user’s interest in a particular product. Our method is a generalized low rank matrix completion problem, where we learn a function whose inputs are pairs of vectors – the standard low rank matrix completion problem being a special case where the inputs to the function are the… CONTINUE READING
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