We consider moment matching techniques for estimation in latent Dirichlet allocation (LDA). By drawing explicit links between LDA and discrete versions of independent component analysis (ICA), we first derive a new set of cumulant-based tensors, with an improved sample complexity. Moreover, we reuse standard ICA techniques such as joint diagonalization of tensors to improve over existing methods based on the tensor power method. In an extensive set of experiments on both synthetic and real datasets, we show that our new combination of tensors and orthogonal joint diagonalization techniques outperforms existing moment matching methods.
Rethinking LDA: Moment Matching for Discrete ICA
A. Podosinnikova,F. Bach,Simon Lacoste-Julien
Published 2015 in Neural Information Processing Systems
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- Publication year
2015
- Venue
Neural Information Processing Systems
- Publication date
2015-07-07
- Fields of study
Mathematics, Computer Science
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