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Experiments on Preserving Pieces of Information in a Given Order in Holographic Reduced Representations and the Continuous Geometric Algebra Model

Abstract

Geometric Analogues of Holographic Reduced Representations (GAc, which is the continuous version of the previously developed discrete GA model) employ role-filler binding based on geometric products.Atomic objects are real-valued vectors in n-dimensional Euclidean space and complex statements belong to a hierarchy of multivectors. The property of GAc and HRR studied here is the ability to store pieces of information in a given order by means of trajectory association. We describe results of three experiments: finding correct item or correct place of an item in a sequence and finding the alignment of items in a sequence without the precise knowledge of trajectory vectors.

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Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Informatica no. 35, pages 419 - 427,
ISSN: 0868-4952
Language:
English
Publication year:
2011
Bibliographic description:
Patyk-Łońska A.: Experiments on Preserving Pieces of Information in a Given Order in Holographic Reduced Representations and the Continuous Geometric Algebra Model// INFORMATICA-LITHUAN. -Vol. 35., nr. Iss. 4 (2011), s.419-427
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Gdańsk University of Technology

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