Interpolation and Extrapolation of Motion Patterns in the Proto-symbol Space

  • Authors:
  • Tetsunari Inamura;Tomohiro Shibata

  • Affiliations:
  • National Institute of Informatics, Tokyo, Japan and The Graduate University for Advanced Studies, Kanagawa, Japan;Nara Institute of Science and Technology, Nara, Japan

  • Venue:
  • Neural Information Processing
  • Year:
  • 2008

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Abstract

We propose a new method for interpolation and extrapolation of motion patterns in proto-symbol spaces. The proto-symbol space is a topological space which abstracts motion patterns by utilizing continuous hidden Markov models, and the mimesis model that recognizes/generates known/unknown motion patterns by using this topological space. An interpolation algorithm for the proto-symbol space has already been proposed, but it had a mathematical problem. Furthermore, extrapolation of motion patterns was not defined, and could not be calculated. In the new method, the synthesis of proto-symbols is done separately for state transition probabilities and output probabilities, and the synthesis of the state transition probabilities is done in the time domain. Experiments in a simulation environment demonstrate the feasibility of this method.