Geometric Algebra Model of Distributed Representations

  • Agnieszka PatykEmail author


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.


Correct Answer Geometric Algebra Potential Answer Geometric Product Object Construction 
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© Springer-Verlag London 2010

Authors and Affiliations

  1. 1.Faculty of Applied Physics and MathematicsGdańsk University of TechnologyGdańskPoland
  2. 2.Centrum Leo Apostel (CLEA)Vrije Universiteit BrusselBrusselsBelgium

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