Table 1 List of key notations
From: Class-specific Gaussian-multinomial latent Dirichlet allocation for image annotation
Symbol | Description |
|---|---|
\(\mathcal {X}_{n},\tilde {\mathcal {X}}_{n},\mathcal {G}_{n}\) | The representations of an original tensor, centered tensor,and its core tensor |
\(U^{(k)},\tilde {U}_{(-k)} \) | The k-mode transformed matrix and the Kroneckerproducts except the matrix |
\(\tilde {W},\tilde {D},\tilde {L}\) | The weight matrix of tensorial features, its diagonal matrix,and its Laplacian matrix |
g n ,y n | Vectorizations of the core tensor and the transformedtensor |
α,β,μ c ,σ c | Parameters of the Dirichlet distribution for latent topics, multinomial distribution for tags, mean and variance ofGaussian distribution for visual features |
w m ,v d | Symbol of the tag and the visual feature |
y m ,z d | Latent topics for the tag and the visual feature |
W,V | Collections of tags and visual features |
Y,Z | Collections of latent topics for tags and visual features |