Matrix factorization | Transformation | Constraints | Regularization | Weights | Similarity |
---|---|---|---|---|---|
SVD [63] | None | Orthogonal UTU = I VTV = I | None | Uniform | Frobenius |
PCA [64] | None | Orthogonal UTU = I VTV = I | None | Uniform | Frobenius |
NMF [65] | None | Non-negativity \(U \ge 0, V \ge 0\) | None | Uniform | Frobenius |
pLSI | None | Sum to 1 | None | Uniform | KL-divergence |
None | Non-negativity \(U \ge 0, V \ge 0\) | â„“1 on V ||V||1 | Uniform | Frobenius | |
None | Bounded entries in the low-rank approximation \(\alpha < UV < \beta\) | None | Uniform | Frobenius |