No training required: Exploring random encoders for sentence classification
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The nowadays surprisingly poor performance of the models in Hill et al. (2016) can at least partly be explained because 1) they use poorer (older) word embeddings; and 2) FastSent sentence representations are of the same dimensionality as the input word embeddings, while they are compared in the same table to much higher-dimensional representations.
See also figure 1 for the increase in performance across tasks when the embedding dimension is increased.