Contribution

The first quantitative, human-grounded evaluation of the thing topic models are used for: whether the latent space is interpretable.

Key insight

A predictive metric measures the probability of observations and ignores the representation. If the representation is the product, as it is when people read the topics, then it has to be measured directly. The paper’s two tasks turn “does this topic make sense” into a detection rate.

Key results

  • CTM has the best held-out likelihood (Table 1) and the worst model precision and topic log odds (Figures 3 and 6)
  • LDA is usually best on word intrusion. LDA and pLSI beat CTM on topic intrusion
  • pLSI’s word-intrusion precision falls as the number of topics grows, consistent with overfitting
  • Human–model agreement on topic intrusion is lowest for documents that span disparate subjects
  • Model precision is negatively correlated with the words’ number of WordNet senses (Spearman ρ of about −0.24)

Limitations

  • “Negatively correlated” rests on 18 points (3 models × 3 K × 2 corpora), and the trend is carried mostly by CTM. Within LDA and pLSI, topic log odds are nearly constant across K
  • Small likelihood gaps, in the second decimal place of per-word log likelihood
  • Proper nouns were removed for the subjects’ benefit, so the corpora are not what a practitioner would fit
  • Subjects could see the model’s answer after responding. The authors report that small experiments showed no bias
  • Three bag-of-words models of 2009. The tasks, not the rankings, are what transfers