Conceptual Spaces as Voltage Maps

  • Authors:
  • Janet Aisbett;Greg Gibbon

  • Affiliations:
  • -;-

  • Venue:
  • IWANN '01 Proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks: Connectionist Models of Neurons, Learning Processes and Artificial Intelligence-Part I
  • Year:
  • 2001

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Abstract

Conceptual spaces have been proposed as a meso level representation, intermediate between symbolic and connectionist representations. We define a conceptual space to be a set of images or "voltage maps" on a compact sub plane, and equip it with pseudo-physiological notions of distance and betweenness. While our meso level representation is easily linked to higher and lower representations, we argue that its natural notion of geometry provides powerful additional tools for knowledge modeling and reasoning. As illustration, we offer an explanation of multi-dimensional experimental results which suggest distances follow different order Minkowski measures according to whether the dimensions are integral or separable.