Every convex polyhedron in Rd admits both Hand V-representations. In both types, a representation is canonical if it is minimal and unique up to some elementary operations. In this paper, we show the duality of canonical representations and that the canonical V-representations coincide with certain canonical H-representations. Also, we show how the lexico-smallest representation, a computationa...

Artificial grammar learning (AGL) has been used extensively to study theories of learning, but compelling conclusions cannot be drawn without an analysis of individual strategies. We describe a new statistical method for doing so, based on the increasingly popular framework of latent variable models, which is especially suited to capture heterogeneity in participants' responses. We applied the ...

The influence of prior familiarity with components on the implicit learning of relations was examined using artificial grammar learning. Prior to training on grammar strings, participants were familiarized with either the novel symbols used to construct the strings or with irrelevant geometric shapes. Participants familiarized with the relevant symbols showed greater accuracy when judging the c...

It has been proposed that cognitive processing effort at each word in a sentence depends on the amount of information conveyed by the word. Indeed, two formal measures of word information (surprisal and entropy reduction) correlate with reading times on words in general texts. If word information also accounts for psycholinguistic phenomena that have been taken as evidence for particular cognit...

Language in autism has been the subject of intense interest, because communication deficits are central to the disorder, and because autism serves as an arena for testing theories of language acquisition. High-functioning older children with autism are often considered to have intact grammatical abilities, despite pragmatic impairments. Given the heterogeneity in language skills at younger ages...