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Motion Contrast Classification Is a Linearly Nonseparable Problem

amahani{at}wustl.edu, Physics Department, Washington University, St. Louis, MO 63130, U.S.A.

Ralf Wessel

rw{at}wuphys.wustl.edu, Physics Department, Washington University, St. Louis, MO 63130, U.S.A.

Sensitivity to image motion contrast, that is, the relative motion between different parts of the visual field, is a common and computationally important property of many neurons in the visual pathways of vertebrates. Here we illustrate that, as a classification problem, motion contrast detection is linearly nonseparable. In order to do so, we prove a theorem stating a sufficient condition for linear nonseparability. We argue that nonlinear combinations of local measurements of velocity at different locations and times are needed in order to solve the motion contrast problem.