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Abstract This paper presents an investigation into the extent to which the lexical choices made by learners of a second language (L2) are distinctive. It follows on from an earlier paper by the same authors in which a neural network was successfully trained to mark a set of texts produced by L2 learners to the same standard, within broad categories, as had been awarded by experienced human markers. For this present paper, we examined a set of L2 texts and searched them for unique lexical choices (‘lexical signatures’). The results suggest a possible explanation for the success of the neural-network trial, and may have some practical implications for determining the levels of achievement reached by L2 learners.