Sensorimotor experience and its metrics: informational geometry and the temporal horizon

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Abstract

We introduce metrics on sensorimotor experience
at various temporal scales based on informationtheory.
Sensorimotor variables through which the experience
of an agent flows are modeled as information
sources in the sense of Shannon information theory. Information
distance between the constellation of an embodied
agent's sensorimotor variables at different moments
in time can be taken variable-by-variable or between
entire sets of such variables to yield two classes of
metrics on sensorimotor experience: the temporal experiential
information distance and the Hausdorff metric on
experience. Unlike mutual information, these measures
each satisfy the metric axioms and thus induce a geometry
on the space of experiences with the same temporal
scope. Continuity of maps between experiential spaces
as well as robotic applications and extensions are discussed.
Original languageEnglish
Title of host publicationProcs of 2005 IEEE Congress on Evolutionary Computation
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages142-149
Volume1
ISBN (Print)0-7803-9363-5
Publication statusPublished - 2005

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