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A Subjective Distance Between Stimuli: Quantifying the Metric Structure of Representations

damianoliva{at}cab.cnea.gov.ar, Laboratorio de Neurobiología de la Memoria, Departamento de Fisiología, Biología Molecular y Celular, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina

Inés Samengo

samengo{at}cab.cnea.gov.ar, Centro Atómico Bariloche, San Carlos de Bariloche, Río Negro, Argentina

Stefan Leutgeb

stefan.Leutgeb{at}svt.ntnu.no, Centre for the Biology of Memory, Norwegian University of Science and Technology, NO-7489 Trondheim, Norway

Sheri Mizumori

nuzyniru{at}washington.edu, Psychology Department, University of Washington, Seattle 98195-1525, U.S.A.

As subjects perceive the sensory world, different stimuli elicit a number of neural representations. Here, a subjective distance between stimuli is defined, measuring the degree of similarity between the underlying representations. As an example, the subjective distance between different locations in space is calculated from the activity of rodent's hippocampal place cells and lateral septal cells. Such a distance is compared to the real distance between locations. As the number of sampled neurons increases, the subjective distance shows a tendency to resemble the metrics of real space.