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Principled Selection of Hyperparameters in the Latent Dirichlet Allocation Model

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Figure

Figure 1: Graphical model representation for
Figure 2: Values of M�(h) for iterations 1, 2, 4, 8, 12, 18 using a synthetic corpus generated accord-ing to the LDA model with K = 20, nd = 100 for each d, V = 100, and htrue = (.8, .2).
Figure 3: Iterations in the serial tempering scheme used on the synthetic corpus in Figure 2: leftpanel gives the number of documents subsampled at each iteration; right panel gives thespecifications for the grid at each iteration.
Figure 4: Variability of posterior probabilities and expectations for the Cats corpus from Wikipedia.Left panel: estimate of the posterior probability that documents 7 and 8 have essentiallythe same topics, in the sense that ∥θ7 − θ8∥ ≤ .07, as h varies
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