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Singular value decomposition (SVD) of a matrix $\mathbf{A}$ is given by $\mathbf{A} = \mathbf{USV}^\top$ where $\mathbf{U}$ and $\mathbf{V}$ are orthogonal matrices and $\mathbf{S}$ is a diagonal matrix.
3
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Accepted
Compute the user and item features in SVD++
The SVD theory is only used for motivation. In reality, SVD is not defined for a sparse matrix. For netflix there is less than 1% fille data so this tends to be an issue. …
2
votes
Updating SVD in Recommender Systems for change in ratings
As someone who practically works with these systems, here is how I do it -
Let's say you have your fancy recommender system go ahead and decompose your matrix of users and ratings ($Y$) to users and …