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Geometric Algebra Model of Distributed Representations

Abstract

Formalism based on GA is an alternative to distributed representation models developed so far-Smolensky's tensor product, Holographic Reduced Representations (HRR) and Binary Spatter Code (BSC). Convolutions are replaced by geometric products, interpretable in terms of geometry which seems to be the most natural language for visualization of higher concepts. This paper recalls the main ideas behind the GA model and investigates recognition test results using both inner product and a clipped version of matrix representation. The influence of accidental blade equality on recognition is also studied. Finally, the efficiency of the GA model is compared to that of previously developed models.

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Category:
Conference activity
Type:
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:
Wb : AGACSE'2008, Geometric Algebra Computing in Engineering and Computer Science, Grimma (Niemcy), sierpień 2008 strony 400 - 430
Language:
English
Publication year:
2010
Bibliographic description:
Patyk-Łońska A.: Geometric Algebra Model of Distributed Representations// Wb : AGACSE'2008, Geometric Algebra Computing in Engineering and Computer Science, Grimma (Niemcy), sierpień 2008/ ed. eds. Edouardo Bayro-Corrochano, Gerik Scheuermann Londyn: Springer-Verlag London Limited, 2010, s.400-430
Verified by:
Gdańsk University of Technology

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