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Temporal Sequencing via Supertemplates

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/10424

Temporal Sequencing via Supertemplates

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Title: Temporal Sequencing via Supertemplates
Author: Healy, Michael; Caudell, Thomas
Subject(s): ART
category
colimit
concept
connection path
diagram
episode
event
functor
morphism
neural
semantics
Abstract: A category-theoretic account of neural network semantics has been used to characterize incremental concept representation in neural memory. It involves a category of concepts and concept morphisms together with categories of objects and morphisms representing the activity in connectionist structures at different stages of weight adaptation. Colimits express the more specialized concepts as combinations of abstract concepts along shared subconcept relationships specified in diagrams. This provides a mathematical model of concept blending, in which designated relationships among concepts are preserved in a combination. Structure-preserving mappings called functors from the concept to neural categories provide a mathematical model of incremental concept representation through stages of adaptation. The work reported here extends these ideas to express temporal sequences of events, such as episodic memories. This requires an extended notion of neural morphism and a design principle for diagrams involving concepts in a temporal sequence. This is tested in a new architecture that involves a notion of supertemplates, which are ART network templates extending over a multi-level ART hierarchy with an interposed temporal integrator network.
Date: 2010-03-10
Series: ECE-TR-
10-0001
URI: http://hdl.handle.net/1928/10424

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