Correlational Learning

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The singular value decomposition of user-tag network M is given by , where columns of U and V are the left and right singular vectors and is the diagonal matrix whose elements are singular values.

So we can get

where and , Parameter α (0 ≤ α ≤ 1) controls the weights of users and tags. Considering the balance between user similarity and tag similarity, α is set to 0.5.