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Article overview
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Compositional Distributional Cognition | | Yaared Al-Mehairi
; Bob Coecke
; Martha Lewis
; | | Date: |
12 Aug 2016 | | Abstract: | We accommodate the Integrated Connectionist/Symbolic Architecture (ICS) of
[32] within the categorical compositional semantics (CatCo) of [13], forming a
model of categorical compositional cognition (CatCog). This resolves intrinsic
problems with ICS such as the fact that representations inhabit an unbounded
space and that sentences with differing tree structures cannot be directly
compared. We do so in a way that makes the most of the grammatical structure
available, in contrast to strategies like circular convolution. Using the CatCo
model also allows us to make use of tools developed for CatCo such as the
representation of ambiguity and logical reasoning via density matrices,
structural meanings for words such as relative pronouns, and addressing over-
and under-extension, all of which are present in cognitive processes. Moreover
the CatCog framework is sufficiently flexible to allow for entirely different
representations of meaning, such as conceptual spaces. Interestingly, since the
CatCo model was largely inspired by categorical quantum mechanics, so is
CatCog. | | Source: | arXiv, 1608.3785 | | Services: | Forum | Review | PDF | Favorites | |
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