Geometric Algebra Model of Distributed Representations

Details Geometric Algebra Model of Distributed Representations Geometric Algebra Model of Distributed Representations

2010-03-30

arxiv.org/abs/1003.5899v1

Computer Science

Artificial Intelligence

30 pages, 19 figures

Scientific paper

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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