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Variational Wasserstein Barycenters with c-Cyclical Monotonicity
The basic idea is to introduce a variational distribution as the approximation of the true continuous barycenter, so as to frame the barycenters computation problem as an optimization problem, where parameters of the variational distribution adjust the proxy distribution to be similar to the barycenter.
Topic representation: finding more representative words in topic models
The top word list, i. e., the top-M words with highest marginal probability in a given topic, is the standard topic representation in topic models.
Integrating Topic Modeling with Word Embeddings by Mixtures of vMFs
Gaussian LDA integrates topic modeling with word embeddings by replacing discrete topic distribution over word types with multivariate Gaussian distribution on the embedding space.
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