Abstract
This paper proposes a new inference for the correlated topic model (CTM) [3]. CTM is an extension of LDA [4] for modeling correlations among latent topics. The proposed inference is an instance of the stochastic gradient variational Bayes (SGVB) [7, 8]. By constructing the inference network with the diagonal logistic normal distribution, we achieve a simple inference. Especially, there is no need to invert the covariance matrix explicitly. We performed a comparison with LDA in terms of predictive perplexity. The two inferences for LDA are considered: the collapsed Gibbs sampling (CGS) [5] and the collapsed variational Bayes with a zero-order Taylor expansion approximation (CVB0) [1]. While CVB0 for LDA gave the best result, the proposed inference achieved the perplexities comparable with those of CGS for LDA.
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Notes
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We used the XML files from medline14n0770.xml to medline14n0774.xml.
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References
Asuncion, A., Welling, M., Smyth, P., Teh, Y.W.: On smoothing and inference for topic models. In: UAI, pp. 27–34 (2009)
Bartz, D., Müller, K.R.: Generalizing analytic shrinkage for arbitrary covariance structures. In: NIPS 26, pp. 1869–1877 (2013)
Blei, D.M., Lafferty, J.D.: Correlated topic models. In: NIPS, pp. 147–154 (2005)
Blei, D.M., Ng, A.Y., Jordan, M.I.: Latent dirichlet allocation. JMLR 3, 993–1022 (2003)
Griffiths, T.L., Steyvers, M.: Finding scientific topics. PNAS 101(Suppl 1), 5228–5235 (2004)
Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization. In: ICLR (2015)
Kingma, D.P., Welling, M.: Stochastic gradient VB and the variational auto-encoder. In: ICLR (2014)
Rezende, D.J., Mohamed, S., Wierstra, D.: Stochastic backpropagation and approximate inference in deep generative models. In: ICML, pp. 1278–1286 (2014)
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Masada, T., Takasu, A. (2016). A Simple Stochastic Gradient Variational Bayes for the Correlated Topic Model. In: Li, F., Shim, K., Zheng, K., Liu, G. (eds) Web Technologies and Applications. APWeb 2016. Lecture Notes in Computer Science(), vol 9932. Springer, Cham. https://doi.org/10.1007/978-3-319-45817-5_39
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DOI: https://doi.org/10.1007/978-3-319-45817-5_39
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